Answer:
-20
Step-by-step explanation:
the inverse of the equation (flipping all the signs except for the equal sign) would be 44-24=20. So flip the signs back and you get -44 + 24 = -20
Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what
Clarence pays. If Daniel pays $6.06, what is the ratio of Clarence’s pay to Matthew’s
pay?
Answer:
8.80$
Step-by-step explanation:
Total 20.20. 6.06 x 2=12.12. 20.20-12.12=8.80$
Mathew paid 8.80$
Clarence paid 12.12$
Daniel paid 6.06$
What must Bill McGuire invest today to receive an annuity of $12,000 for four years semiannually at a 10% annual rate? All withdrawals will be made at the end of each period.
Answer:
$77,558.55
Step-by-step explanation:
A fix periodic payment for specific period of time.
We need to calculate the present value annuity to determine the value of investment today.
Present value of annuity = P x ( 1 - ( 1 + r )^-n / r )
where
P = Periodic payment = $12,000
r = interest rate = 10% / 2 = 5%
n =numbers of payment = 4 years x 2 = 8 payments
Placing values in the formula
Investment Value today = $12,000 x ( 1 - ( 1 + 5% )^-8 / 5% )
Investment Value today = $77,558.55
Results of 99% confidence intervals are consistent with results of two-sided tests with which significance level? Explain the connection. A 99% confidence interval is consistent with a two-sided test with significance level alphaequals nothing because if a two-sided test with this significance level does not reject the null hypothesis, then the confidence interval ▼ contains does not contain the value in the null hypothesis.
Answer:
Yes, they are consistent.
A 99% confidence interval is consistent with a two-sided test with significance level alpha=0.01 because if a two-sided test with this significance level does not reject the null hypothesis, then the confidence interval does contains the value in the null hypothesis.
Step-by-step explanation:
Yes, they are consistent.
A 99% confidence interval is consistent with a two-sided test with significance level alpha=0.01 because if a two-sided test with this significance level does not reject the null hypothesis, then the confidence interval does contains the value in the null hypothesis.
The critical values of the confidence level are equivalent to the critical values in the hypothesis test. In the case that the conclusion of the test is to not reject the null hypothesis, the test statistic falls within the acceptance region: its value is within the critical values of the two-sided test.
Then, it is also within the critical values of the confidence interval and the sample mean (or other measure) will be within the confidence interval bounds.
Please help me with this math problem
Answer:
see below
Step-by-step explanation:
5x - 6y = 21
Let x = 0 and solve for y to find the y intercept
-6y = 21
Divide by -6
y = 21/-6 = -7/2
The y intercept is (0,-7/2)
5x - 6y = 21
Let y = 0 and solve for x to find the x intercept
5x = 21
Divide by 5
y = 21/5 = 21/5
The x intercept is (21/5,0)
Answer:
x=4.2 (x-intercept)
y=-3.5 (y-intercept)
Step-by-step explanation:
To find the x-intercept, we know that y=0. To find the y-intercept, we know that x=0. All we have to do is plug in 0 into either x or y to find the x-intercept and y-intercept.
X-intercept
5x-6(0)=21
5x-0=21
5x=21
x=4.2
Y-intercept
5(0)-6y=21
0-6y=21
-6y=21
y=-3.5
A candy bar and a piece of bubble gum together cost $1.10. The candy bar costs a dollar more than the bubble gum. How much does the candy bar cost, in dollars?
Answer:
$1.05
Step-by-step explanation:
Say the price of a piece of bubble gum is x. This means that we can represent our scenario with the equation (x+1)+x=1.10, with (x+1) representing the price of a candy bar. We can then solve from there.
(x+1)+x=1.10 - Given
2x+1=1.10 - Simplify
2x=0.10 - Subtract From Both Sides (sorry, I forgot the name of this property)
x=0.05 - Divide From Both Sides
So now we have the price of the piece of bubble gum, but we want the cost of the candy bar. Fortunately, we know it costs one dollar more than the piece of bubble gum, so just do 0.05 + 1. This means our candy bar costs $1.05.
The candy bar cost, in dollars, is $1.05
Say the price of a piece of bubble gum is x.
This means that we can represent our scenario with the equation (x+1)+x=1.10, with (x+1) representing the price of a candy bar.
We can then solve from there.
We have given that,
(x+1)+x=1.10
Simplify above expression
2x+1=1.10
2x=0.10 - Subtract From Both Sides
x=0.05 - Divide From Both Sides
So now we have the price of the piece of bubble gum, but we want the cost of the candy bar.
What is the cost?Cost is the value of money that a company had to spend to produce its goods or services.
Fortunately, we know it costs one dollar more than the piece of bubble gum, so just do 0.05 + 1. This means our candy bar costs $1.05.
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please help with math, it’s easy!! explantion needed!
Answer:
1
Step-by-step explanation:
The quadratic relation is a perfect square:
y = (7x +3)²
so has one zero, where the factor is zero:
7x +3 = 0
7x = -3
x = -3/7
_____
It is useful to have handy reference to the form of the square of a binomial:
(a +b)² = a² +2ab +b²
Here, your first clue is that 49x² and 9 are both perfect squares: (7x)² and (3)². It is easy to check that the middle term is twice the product of these roots:
2(7x)(3) = 42x . . . . matches the middle term
So, the given expression is equivalent to ...
y = (7x +3)²
The window above the doorway in Angelica's house is shaped like a semicircle with a diameter of 36 inches.
How much glass was used to make the window? Use 3.14 for π
Answer:
[tex]508.68[/tex] [tex]in^{2}[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (1/2)[/tex]
[tex](3.14)(18^{2})(1/2)[/tex]
[tex]12717/25 = 508.68[/tex]
work out the value of 7^2+4^3 divided by 2^5
113/32
Step-by-step explanation:
7 squared is 49, 4 cubed is 64, 2 to the 5th power is 32.
49 plus 64 is 113 divided by 32
3.53125
Step-by-step explanation:
7^2+4^3/2^5
= 49+64/32
= 113/32
= 3.53125
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.
(a) Find the probability that at least 13 flights arrive late .
Answer:
The probability that at least 13 flights arrive late is 2.5196 [tex]\times 10^{-6}[/tex].
Step-by-step explanation:
We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.
A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.
The above situation can be represented through binomial distribution;
[tex]P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........[/tex]
where, n = number of trials (samples) taken = 18 Southwest flights
r = number of success = at least 13 flights arrive late
p = probability of success which in our question is probability that
flights arrive late, i.e. p = 1 - 0.80 = 20%
Let X = Number of flights that arrive late.
So, X ~ Binom(n = 18, p = 0.20)
Now, the probability that at least 13 flights arrive late is given by = P(X [tex]\geq[/tex] 13)
P(X [tex]\geq[/tex] 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)
= [tex]\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}[/tex]
= [tex]\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}[/tex]
= 2.5196 [tex]\times 10^{-6}[/tex].
Label the parts of the triangle. Leg leg altitude hypothenuse right angle.
Refer to the provided image.
What is a right-angled triangle?A triangle with one of its angles to be 90°. That is if a triangle has one right angle then the triangle is a right-angled triangle.
What is the hypotenuse of a right-angled triangle?A right-angled triangle's hypotenuse is the longest side. It's the side that's on the opposite side of the right angle.
What is a leg of a right-angled triangle?A leg of a right-angled triangle is the side that is adjacent to the right angle.
What is the altitude of a right-angled triangle?The height of the right-angled triangle when the hypotenuse is considered as the base is called the Altitude of the right-angled triangle.
How to solve it?Considering the definitions above label the figure accordingly.
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Pythagorean triplet whose one member is 15
Answer:
8,15 and 17 are Pythagorean triplets,the Pythagorean triplets of 15 are: (15,112 and113),(15,8 and 17),(15,20 and 25),(15,9and 12),(15,36 and 39)
Answer:
(8, 15, 17); (9, 12, 15); (15; 20; 25)Step-by-step explanation:
If
[tex]a=m^2-n^2;\ b=2mn;\ c=m^2+n^2[/tex]
for m > n, then a, b, c make a Pythagorean triplet.
[tex]m^2-n^2=15\to(m-n)(m+n)=15\\\\(m-n)(m+n)=(3)(5)\to m-n=3\ \wedge\ m+n=5[/tex]
We have the system of equations:
[tex]\underline{+\left\{\begin{array}{ccc}m-n=3\\m+n=5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2m=8\qquad\text{divide both sides by 2}\\.\qquad\boxed{m=4}[/tex]
Substitute to the second equation:
[tex]4+n=5\qquad\text{subtract 4 from both sides}\\\boxed{n=1[/tex]
Therefore we have:
[tex]a=4^2-1^2=16-1=15\\b=2(4)(1)=8\\c=4^2+1^2=16+1=17[/tex]
[tex]2mn=15[/tex] it's impossible, because 15 is not an even number.
[tex]m^2+n^2=15[/tex]
Let's consider all possible sums of two numbers resulting in 15.
We will check which of the numbers are perfect squares.
1 + 14
2 + 13
3 + 12
4 + 11
5 + 10
6 + 9
7 + 8
(Bold not perfect squares)
There are no two perfect squares among the listed pairs of numbers.
Other:
15, 112, 113
We know the Egyptian triangle with sides of length 3, 4, 5.
By modifying this Pythagorean triplet by multiplying by 3 we get:
(3)(3) = 9; (3)(4) = 12; (3)(5) = 15
By modifying this Pythagorean triplet by multiplying by 5 we get:
(5)(3) = 15; (5)(4) = 20; (5)(5) = 25
A man starts with an initial velocity of 3.50 m/s and accelerates for a distance of 205
m over 28.7 s. What is the acceleration of the man?
Answer:
[tex] X= v_i t + \frac{1}{2}a t^2 [/tex]
And from this equation we can solve for a like this:
[tex] 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2[/tex]
And solving for a we got:
[tex] 104.55m = \frac{1}{2}a (28.7s)^2[/tex]
[tex] a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2[/tex]
Step-by-step explanation:
For this case we have the velocity , distance and time given:
[tex] v = 3.5 m/s, d=205m, t =28.7s[/tex]
And we know from kinematics that he velocity can be expressed like this:
[tex] v_f = v_i +a t[/tex]
We also know that the distance is given by:
[tex] X= v_i t + \frac{1}{2}a t^2 [/tex]
And from this equation we can solve for a like this:
[tex] 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2[/tex]
And solving for a we got:
[tex] 104.55m = \frac{1}{2}a (28.7s)^2[/tex]
[tex] a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2[/tex]
A human gene carries a certain disease from the mother to the child with a probability rate of 34%. That is, there is a 34% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that at least one of the children get the disease from their mother.
Answer the following questions:
State the complement of the event "At least one of the children get the disease from their mother".
Find the probability of the complement. Round your answer to four decimals
Find the probability that at least one of the children get the disease from their mother.
Answer:
The probability that at least one of the children get the disease from their mother is 0.7125.
Step-by-step explanation:
We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.
Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.
Let Probability that children get the disease from their mother = P(A) = 0.34
SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)
where A' = event that children do not get the disease from mother.
So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66
Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother
= 1 - P(X = 0)
= 1 - (0.66 [tex]\times[/tex] 0.66 [tex]\times[/tex] 0.66)
= 1 - 0.2875 = 0.7125
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Solution,
Radius=2 m
Area =pi r^2
= 3.142*(2)^2
=12.568 m^2
hope it helps
Good luck on your assignment
Simplify 12 5/8-74/5
Answer:
12x8+5=101/8
101/8-74/5
40/8=5
5x101=505
40/5=8
8x74=592
therefore 505/40-592/40=
-87/40=-2.175
Answer:
The correct answer would be 2.175
Step-by-step explanation:
i got it right :))
N is an element of the set {0.4, 0.5, 1.1, 2.0, 3.5}, and (4.9N)/1.4 is an integer. What is N?
Answer:
Step-by-step explanation:
if N=2.0
4.9 N=4.9×2=9.8
9.8/1.4=7
which is an integer.
so N=2.0
HELP ME PLEASE I DONT UNDERSTAND
Answer:
6.75
Step-by-step explanation:
divide 4.50 by 40 to find the cost per pencil
4.50 ÷ 40 = .1125
each pencil costs .1125 or 11.25 cents, keep the cost per pencil as .1125
then multiply .1125 by 60. because each pencil costs
.1125 and there are 60 pencils the answer is 6.75
Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a race car, or a magnifying glass. Each prize is equally likely to be in a box. Question 1. How many boxes of Cracker Jacks would you expect to buy until you obtain a complete set of prizes
Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
[tex]E_2 = (\frac{4}{5})^{-1} = 1.25[/tex]
For the next unique toy, there is now a 3 in 5 chance of getting it:
[tex]E_3 = (\frac{3}{5})^{-1} = 1.67[/tex]
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
[tex]E_4 = (\frac{2}{5})^{-1} = 2.5[/tex]
Finally, there is a 1 in 5 chance to get the last unique toy:
[tex]E_5 = (\frac{1}{5})^{-1} = 5[/tex]
The expected number of boxes to obtain a full set is:
[tex]E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes[/tex]
A trust fund eels is 6% simple interest divide into its members accounts every month if a member has $5000 in the funds account how much money would be in that account after three months
Answer:
$5073.37
Step-by-step explanation:
We can use the simple interest rate (appreciation) formula: A = P(1 + r)^t
Because it gives us 3 months, we need to put it in terms of years. That will give us 1/4 of a year:
A = 5000(1 + 0.06)^0.25
When you plug that into the calc, you should get 5073.37 as your final answer!
Each leg of a 45-45-90 triangle has a length of 6 units what is the length of its hypotenuse
Answer:
It's the option D
6 root 2 units
Assume Shelley Kate decides to take her social security at age 63. What amount of social security benefit will she receive each month, assuming she is entitled to $720 per month
She will receive a lot more money because she is already retired from work already and will win as bit more money
Please help! Correct answer only, please! The following information matrices show how many of each vehicle type sold and the bonus amount each salesperson receives for selling that type of vehicle for the car dealership for the week. Which salesperson sold the most vehicle for the week described?A. Scott B. Each sold the same number of vehicles C. Kelly D. Mark
Answer: b) Each sold the same number of vehicles
Step-by-step explanation:
This question is only asking for the quantity of vehicles (not the total amount earned) so we can disregard the second matrix and find the sum of each row in the first matrix.
Kelly: 8 + 2 + 6 = 16
Scott: 7 + 8 + 1 = 16
Mark: 10 + 4 + 2 = 16
The total number of vehicles sold by each person is the same
Fertilizer must be mixed with water in a 1:4 ratio. If you use 3
cups of fertilizer how much water do you need?
Answer:
12
Step-by-step explanation:
1:4 = 3:12
Answer:
12 cups of water
Step-by-step explanation:
The ratio of fertilizer is 1. To get to 3 you times it by 3. Therefore to find how much water you need you'd have to do the same to the other side of the ratio, times it by three. So it would be 3:12
Suppose that T is a one-to-one transformation, so that an equation T(u)=T(v) always implies u=v. Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent. This fact shows that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set (because in this case the set of images cannot be linearly dependent).
Answer:
Step-by-step explanation:
The objective is to Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent.
Given that:
[tex]\mathbf{[T(v_1) +T(v_2) ...T(v_p)]}[/tex] is linearly dependent set
Thus; there exists scalars [tex]\mathbf{k_1 , k_2 ... k_p}[/tex] ; ( read as "such that") [tex]\mathbf{k_1 T(v_1) +k_2T(v_2) ...k_pT(v_p)=0}[/tex]
[tex]\mathbf{= T(k_1 v_1 +k_2v_2 ...k_pv_p)=0}[/tex]
T = 0 (for the fact that T is linear transformation)
[tex]\mathbf{k_1 v_1 +k_2v_2 ...k_pv_p=0}[/tex] (due to T is one-one)
NOTE: Not all Ki's are zero;
Thus;
[tex]\mathbf{[v_1,v_2 ...v_p] }[/tex] is linearly dependent
It negation also illustrates that :
If [tex]\mathbf{[v_1,v_2 ...v_p]}[/tex] is also linearly independent then [tex]\mathbf{[T(v_1),T(v_2) ...T(v_p)]}[/tex] is also linearly independent.
Help me plzzz with my hw
Answer:
w || n and n ⊥ m
Step-by-step explanation:
To find out which statement is true, recall the following:
1. 2 lines are said to be parallel to each other if they do not intersect at any given point and are of the same distant apart. Parallel is denoted by ||
2. 2 lines are said to be perpendicular if both lines intersect at a right angle. It is denoted by ⊥
==>From the diagram given, we can see that w and n are of the same distant apart and they do not intersect at any given point.
Also, we can see that n and m intersect at point X to at right angle.
Therefore, we can conclude that w || n and n ⊥ m
the sum of 3 consecutive even integers is 228
Here we will use algebra to find three consecutive integers whose sum is 228. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 228. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 228
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 228
3X + 3 = 228
3X + 3 - 3 = 228 - 3
3X = 225
3X/3 = 225/3
X = 75
Which means that the first number is 75, the second number is 75 + 1 and the third number is 75 + 2. Therefore, three consecutive integers that add up to 228 are 75, 76, and 77.
75 + 76 + 77 = 228
We know our answer is correct because 75 + 76 + 77 equals 228 as displayed above.
Answer:
74, 76, 78
Step-by-step explanation:
The numbers are even and consecutive so they are 2x, 2x+2 and 2x+4 because any number multiplied by 2 is always even and they are even CONSECUTIVE,. So 2 and 4
Now their sum is given as 228 so,
2x+2x+2+2x+4= 228
6x+6= 228
6x= 228-6= 222
x= 222/6
= 37
So the numbers are:
2x= 37*2= 74
2x+2= 74+2= 76
2x+4= 74+4= 78
Supplier claims that they are 95% confident that their products will be in the interval of 20.45 to 21.05 you take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02 what conclusion can be made
Options:
The supplier products have a lower mean than claimed
The supplier is more accurate than they claimed
The supplier products have a higher mean than claimed
The supplier is less accurate than they have claimed
Answer:
The supplier is less accurate than they have claimed
Step-by-step explanation:
Confidence Interval for supplier claim, CI = (20.45, 21.05)
Confidence Interval for your claim, CI = (20.48, 21.02)
Calculate the mean of the Confidence Interval for the supplier's claim:
[tex]\bar{X_s} = \frac{20.45 + 21.05}{2} \\\bar{X_s} = \frac{41.50}{2}\\\bar{X_s} = 20.75[/tex]
Calculate the mean of the Confidence Interval for your claim :
[tex]\bar{X_y} = \frac{20.48 + 21.02}{2} \\\bar{X_y} = \frac{41.50}{2}\\\bar{X_y} = 20.75[/tex]
Both the supplier and you have the equal mean
Margin of Error by the supplier = 21.05 - 20.75 = 0.30
Margin of Error by you = 21.02 - 20.75 = 0.27
Since the margin of error for the supplier is more, you can conclude that the suppler is less accurate than they have claimed.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Supplier claims that they are 95% confident that their products will be in the interval of 20.45 to 21.05. You take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02. What conclusion can be made?
The supplier products have a lower mean than claimed
The supplier is more accurate than they claimed
The supplier products have a higher mean than claimed
The supplier is less accurate than they have claimed
Answer:
The margin of error reported by the supplier is greater as compared to the actual margin of error. A greater margin of error results in less accuracy.
Therefore, we can conclude that the supplier is less accurate than they have claimed.
Step-by-step explanation:
Supplier claims that they are 95% confident that their products will be in the interval of 20.45 to 21.05.
The mean is given by
Mean = (Upper limit + Lower limit)/2
Mean = (21.05 + 20.45)/2
Mean = (41.50)/2
Mean = 20.75
The margin of error in this case is
MoE = Upper limit - Mean
MoE = 21.05 - 20.75
MoE = 0.30
You take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02.
The mean is given by
Mean = (Upper limit + Lower limit)/2
Mean = (21.02 + 20.48)/2
Mean = (41.50)/2
Mean = 20.75
The margin of error in this case is
MoE = Upper limit - Mean
MoE = 21.02 - 20.75
MoE = 0.27
As you can notice the margin of error reported by the supplier is greater as compared to the actual margin of error. A greater margin of error results in less accuracy.
Therefore, we can conclude that the supplier is less accurate than they have claimed.
Linek 5
Linem
Line
Linen
-5
Which line has a slope of -3?
A. line j
B. line k
C. line m
D. linen
Place a lien company sells t-shirts at $5 and shirt shorts with six if total sales were 1,040. and people bought four times as many t-shirts and shorts what was the total number of t-shirts and shorts sold
Answer:
Number of shorts = 40
Number of t-shirt = 160
Step-by-step explanation:
Let number of t-shirts = t
Let number of shorts = s
Price of each t-shirt = $5
Total price of t-shirts = 5t
Price of each shorts = $6
Total price of shorts = 6s
So,
5t+ 6s = 1,040...............Eq1
Given:
Number of t-shirt = 4 (number of shorts)
So, t = 4s ................Eq2
From Eq1 and Eq2
5t+ 6s = 1,040
5(4s) +6s = 1,040
20s + 6s = 1,040
26s = 1,040
Number of shorts = 40
Number of t-shirt = 4(number of shorts)
Number of t-shirt = 4(40)
Number of t-shirt = 160
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
On a coordinate plane, a line goes through points (0, 800) and (400, 0).
Answer:
[tex] m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2[/tex]
And then we can find the y intercept using one point for example (0,800) and we have:
[tex] 800= -2*0+ b[/tex]
[tex] b= 800[/tex]
And our model would be:
[tex] y = -2x +800[/tex]
And the x intercept would be if y=0 then
[tex] 0 =-2x +800[/tex]
[tex] x =400[/tex]
x intercept =400 represent the value of x when y =0
y intercept = 800 represent the value of y when x =0
Step-by-step explanation:
We have the following points given:
(0, 800) and (400, 0)
If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:
[tex] y=mx +b[/tex]
Where
[tex] m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2[/tex]
And then we can find the y intercept using one point for example (0,800) and we have:
[tex] 800= -2*0+ b[/tex]
[tex] b= 800[/tex]
And our model would be:
[tex] y = -2x +800[/tex]
And the x intercept would be if y=0 then
[tex] 0 =-2x +800[/tex]
[tex] x =400[/tex]
x intercept =400 represent the value of x when y =0
y intercept = 800 represent the value of y when x =0
Answer:
And then we can find the y intercept using one point for example (0,800) and we have:
And our model would be:
And the x intercept would be if y=0 then
x intercept =400 represent the value of x when y =0
y intercept = 800 represent the value of y when x =0
Step-by-step explanation:
We have the following points given:
(0, 800) and (400, 0)
If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:
Where
And then we can find the y intercept using one point for example (0,800) and we have:
And our model would be:
And the x intercept would be if y=0 then
x intercept =400 represent the value of x when y =0
y intercept = 800 represent the value of y when x =0
Step-by-step explanation: