Answer:
2 gallons must be added Hope this helps!
Which set of ordered pairs are solutions to this linear equation?
-4x+y=6
O(-5, -34), (2, 8), (6, 32)
o(-1, 2), (0, -4), (1, -2)
0 (-1, 2), (0, 6), (1, 10)
O(-3, -22), (-1, -2), (1, 2)
PLEASE
Answer:
0(-1,2),(0,6),(1,10)
Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?
Answer:
Yes
Step-by-step explanation:
This is becuase 46 x 1.06= 48.76, thats less than $50.
Answer:
yes
Step-by-step explanation:
tax will be $2.76 therefore it will come up to $48.76
Find the slope of the line tangent to the curve f(x) = -10x^2 + 8x when x=9
The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :
f(x) = -10x ² + 8x
f'(x) = -20x + 8
When x = 9, we have
f (9) = -10•9² + 8•9 = -738
f' (9) = -20•9 + 8 = -172
so the slope is -172.
If you also have to find the equation of the tangent line, use the point-slope formula:
y - (-738) = -172 (x - 9)
y = -172x + 810
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answer:
5 cans need to be bought
Step-by-step explanation:
In each can, 3 people can be served. 3 × 5= 15
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation:
Can someone help with this please? I think it has to do with the Pythagorean theorem.
Answer:
2 sqrt(13)
Step-by-step explanation:
We can use the Pythagorean theorem
The x value between A and B is 4 units and the y value is 6 units
The distance is
d = sqrt( x^2 + y^2)
= sqrt( 4^2 + 6^2)
= sqrt( 16+36)
= sqrt(52)
= sqrt(4*13)
= 2 sqrt(13)
Solve each system using substitution.
1. 4x= 3y-2 ; 18= 3x+y
Answer:
y = 6
Step-by-step explanation:
so since you have 2 variables, you need to find a substitution for one of them.
let's do that for y
let y = something in the second equation.
y = 18 - 3x
then plug this into the first equation
4x = 3(18 - 3x) - 2
4x = 54 - 9x -2
4x = 52 - 9x
13x = 52
x = 4
now you have x, plug it into any of the equations to find y.
4(4) = 3y - 2
16 = 3y - 2
18 = 3y
y = 6
Answer:
x = 4, y = 6
Step-by-step explanation:
Substituting y into 1:
4x= 3y-2 -----1
18= 3x+y -----2
Isolate the y in 2.
y = 18-3x -----3
Substitute 3 into 1.
4x= 3(18-3x)-2
Evaluate.
4x = 54-9x-2
Keep like terms together.
4x+9x = 54-2
Simplify.
13x = 52
Find x.
x = 52 ÷ 13
= 4
Substitute x into 3.
y = 18-3(4)
Evaluate.
y = 18-12
Find y.
y = 6
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance alpha using the given sample statistics. Claim: p is not equal to 0.22; Alpha = 0.01; Sample statistics: p = 0.15, n = 180Can the normal sampling distribution be used? A. No, because np is less than 5. B. No, because nq is less than 5. C. Yes, because both np and nq are greater than or equal to 5. D. Yes, because pq is greater than alpha = 0.01. State the null and alternative hypotheses. Determine the critical value(s).Find the z-test statistic.
Answer:
A
The correct option is C
B
The value of z-test is [tex]z = -2.267[/tex]
Step-by-step explanation:
From the question we are told that
The null hypothesis [tex]H_o : p = 0.22[/tex]
The alternative hypothesis [tex]H_a : p \ne 0.22[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The sample proportion is [tex]\^ p = 0.15[/tex]
The sample size is n = 180
Generally from central limit theorem
if np and nq are > 5 then normal sampling distribution can be used
So
np = 180 * 0.22 = 39.6 > 5
and
nq = 180 * (1 -0.22) = 140.4 > 5
So normal sampling distribution can be used
Generally the z-test is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1- p ) }{n } } }[/tex]
=> [tex]z = \frac{ 0.15 - 0.22 }{ \sqrt{\frac{ 0.2(1- 0.22 ) }{ 180 } } }[/tex]
=> [tex]z = -2.267[/tex]
Find the slope of the line in the given graph.
Answer:
option A, 3/4
Step-by-step explanation:
slope / gradient formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the 2 coordinates from the graph
i) (-2,3)
x1 = -2
y1 = 3
ii) (2,6)
x2 = 2
y2 = 6
[tex] \frac{y 2 - y1}{x2 - x1} [/tex]
[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]
[tex] \frac{3}{2 + 2} [/tex]
[tex] \frac{3}{4} [/tex]
A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?
Answer:
25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Step-by-step explanation:
Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:
25 x 1 + 5 x 0 = 25
25 x 0.9 + 5 x 0.1 = 23
25 x 0.8 + 5 x 0.2 = 21
25 x 0.7 + 5 x 0.3 = 19
25 x 0.6 + 5 x 0.4 = 17
25 x 0.5 + 5 x 0.5 = 15
25 x 0.4 + 5 x 0.6 = 13
25 x 0.3 + 5 x 0.7 = 11
25 x 0.2 + 5 x 0.8 = 9
Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:
25 x 0.25 + 5 x 0.75 = 10
Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
I need help for this question, also please shhowthe working out.
Answer:
Her weekly wage is $1150.
Step-by-step explanation:
It is given that,
Grace spent 16% of her weekly wage on a new bookshelf that cost $184.
We need to find her weekly wage.
Let her weekly wage is x.
ATQ,
[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]
So, her weekly wage is $1150.
Need help with algebra homework, and pls show me how u got the answers.
Answer:
mathaway
Step-by-step explanation:
you should use Mathaway it helps with algebra and shows step to step
Answer:
نرظ ثثؤ ٦8٨
Step-by-step explanation:
ظننتت تربية
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?
Answer:
31.42
Step-by-step explanation:
is 3π/9 irrational or rational
Answer:
irrational
Step-by-step explanation:
Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.
What is the volume of the rectangular prism below?
A
16 cubic units
B
20 cubic units
C
23 cubic units
D
32 cubic units
Answer:
D- 32 cubic units
Step-by-step explanation:
count each side and then multiple the numbers
What is the sum of the first 34 numbers in the series below?
147 + 130 + 113 + 96 + . . .
-4,828
-4791
-4539
-4131
Answer:
-4539
Step-by-step explanation:
147 + 130 + 113 + 96 +
arithmetic, with
a = 147 and d 130 - 147 = -17
Sn = (n/2)(2a + d(n - 1))
S34 = (34/2)(2*147 - 17(34 - 1))
= 17(294 - 561)
hope it helps!
Answer:
What’s pad let?
Step-by-step explanation:
2+2+2+2+2+2+2+2+2
I know the answer just want to be nice and give someone brainlest cAuse never did before
Answer:
18
Step-by-step explanation:
Thanks! Have a great day!
write five numbers that are greater than 75,330,000 but less than 75,410,000
Answer:
75,310,000
75,340,000
75,360,000
75,370,000
75,380,000
75,390,000
75,400,000
The question is below thanks
Answer:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
[tex]2r[/tex]π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;
[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]
Substitute in the given information and solve;
[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]
arc = [tex]\frac{41}{180}*14pi[/tex]
arc = [tex]\frac{287}{90}*pi[/tex]
arc ~ 10.02
WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:
Answer:
Right
Step-by-step explanation:
Trust me
Answer:
lion
Step-by-step explanation:
you multiply what is outside the parenthesis to everything inside the parenthesis
What is 40% of 25 is it
A. 62.50%
B. 16%
C. 160%
D. 10%
Step-by-step explanation:
D. 10 %
hope it helps!
.......
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip?
♡ Answer ♡
$78
♡ Step-by-step explanation ♡
In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.
As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.
The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.
So, the total (with the meal and the tip) is $78.
A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!
Find the quotient.
415 ÷ −3.4=
Answer:
415 ÷ 3.4 = 122.058
Step-by-step explanation:
Which of the following slopes of a line passes through points (2, 3) and (4.7)?
5
2
3
Answer: 2
Step-by-step explanation:
7-3/4-2 = 4/2 = 2
what is the solution to this system? 2x+3y=12 -4x+5y=-2
answer: (3,2)
step by step explanation: :)