Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides
Answer:
320 calories
Step-by-step explanation:
Ratios.
let's say calories= c
grams = g
160c:40g
? :80g
So if you look at the grams, you see an increase by *2.
so the get: ?
you need to multiply 160 by 2.
The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?
Answer:
(0,0) means that he didn't buy any apples so it doesn't cost anything
Step-by-step explanation:
Complete the table of values for this equation:
y = 5x +20
Enter your answer by filling in the boxes.
x y
2
3
4
Answer:
X y
2 30
3 35
4 40
Step-by-step explanation:
Putting the value of x in equation u will get the value of y
The required table of values given that y = 5x + 20 will be given as
x y
2 30
3 35
4 40
Given the linear equation y =5x + 20
In order to fill the table, we will have to calculate the y-values for the corresponding x values given.
If x = 2
y = 5(2) + 20
y = 10 + 20
y = 30
If x = 3
y = 5(3) + 20
y = 15 + 20
y = 35
If x = 4
y = 5(4) + 20
y = 20 + 20
y = 40
Hence the required table of values will be given as
x y
2 30
3 35
4 40
learn more here: https://brainly.com/question/19200540
What is the difference between the maximum and minimum of the quantity x2y287, where x and y are two nonnegative numbers such that x+y=6?
Answer:
27/29
Step-by-step explanation:
I didn't grasp this topic too well. can someone help me?
Answer:
2 hours
Step-by-step explanation:
I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours, its 3. But I am 99% sure its 2 hrs.
Determine the slope of the line passing through the points (5, 8) and (-3, 10).
1. -1/2
2. -1/4
3. 1/2
4. -4
Answer:
The answer is option 2Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{10 - 8}{ - 3 - 5} = \frac{2}{ - 8} = - \frac{2}{8} = - \frac{1}{4} \\ [/tex]
We have the final answer as
[tex] - \frac{1}{4} \\ [/tex]
Hope this helps you
Answer:
-1/4. ..................,..
The equation -2y = 5x + 8 represents a line.
What are the slopes of lines that are parallel and perpendicular to the given line?
Drag the correct numbers into the boxes to complete the sentence.
Answer:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Step-by-step explanation:
Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.
-2y = 5x + 8
Divide both sides by -2
y = 5x/-2 + 8/2
y = -⁵/2x + 4
The slope of the line of this equation is -⁵/2.
Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.
Therefore:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Answer:
Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.
Step-by-step explanation:
I took the test.
15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.
Answer:
I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.
Step-by-step explanation:
Solve for xRequired to answer. Single choice.Immersive Reader
(5 Points)
6(+2)−20=6
6
(
x
+
2
)
−
20
=
6
x
No Solution
=−1
x
=
−
1
=0
x
=
0
all real numbers
Answer:
the answer is no solution.
Step-by-step explanation:
How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
log_6(x+1)+log_6x=1
Answer:
x = -3, 2
Step-by-step explanation:
[tex]log_6(x+1)+log_6x=1 \\ \\ log_6 \{x(x+1) \} = 1 \\ \\ x(x + 1) = {6}^{1} \\ \\ {x}^{2} + x = 6 \\ \\ {x}^{2} + x - 6 = 0 \\ \\ {x}^{2} + 3x - 2x - 6 = 0 \\ \\ x(x + 3) - 2(x + 3) = 0 \\ \\ (x + 3)(x - 2) = 0 \\ \\ x + 3 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 3 \: \: or \: \: x = 2 \\ \\ x = - 3, \: \: 2[/tex]
The arctic tern flies from the Arctic to the Antarctic and back every year, a total distance of 22,000 miles! In late summer, the terns start their migration south, and it takes about 3 months to go the 11,000 miles. What is the average velocity, in miles per day, that these birds travel?
Answer:
The birds travel at an average velocity of 122.2 miles per day
Step-by-step explanation:
The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.
The average speed is the ratio between the total distance traveled by the time they took to travel.
Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.
The average velocity is
[tex]\displaystyle v=\frac{11,000}{90}=122.2[/tex]
v=122.2 miles/day
The birds travel at an average velocity of 122.2 miles per day
Answer:
The artic tern flies 11000 miles about 3 months at an average velocity of 122.222 miles per day.
Step-by-step explanation:
HELP I NEED TO TURN THIS IN SOON!! WILL GIVE BRAINLIEST!!!
Answer:
1. 2
2.6
3. 28
4. -10
Step-by-step explanation:
hope this helps
Really bad at math please help
Answer:
X = 26
Step-by-step explanation:
triangle = 180 degrees
180 - (25+112) = 43
X + 17 = 43
43 - 17 = 26
x = 26
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
4.) What is the area of this shape?
Answer:
212
Step-by-step explanation:
Which inequality is represented by this graph?
5+
(0,1)
(3,0)
A. ys-3x+1
B. y>-*x+1
C. 72-3x+1
D. y< -1x+1
The inequality is represented by the given graph is y ≤ -x/3+1.
The correct option is B.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
We have,
A graph of an inequality, passing by (0, 1) and (3, 0).
A and D are eliminated since the line is solid.
C is disregarded because the line is shaded below as well.
Then, the inequality will be y ≤ -x/3+1
Hence, the inequality is represented by the given graph is y ≤ -x/3+1.
Learn more about inequality here:
brainly.com/question/30231190
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Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument.
Answer:
7.2 inches
Step-by-step explanation:
Pythagorean Theorem
a
You've been given the longest side = 14 and the side of the triangle = 12,
Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.
After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.
Square root 52 and you'll get 7.2.
Your answer should be 7.2 inches.
Simplify
25yz^3/5y^2z^4
Answer:
5/yz
Step-by-step explanation:
25yz^3/5y^2z^4
5yz^3/y^2z^4
5y^1-2z^3-4/1
5y^-1z^-1/1
5/yz
What’s a rationale number ?
Answer:
A Rational Number can be made by dividing two integers.
(An integer is a number with no fractional part.)
Step-by-step explanation:
Answer:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Step-by-step explanation:
Hope this helps. :D
There are 24 balls in gym class. The ratio of basketballs to soccer balls is 2:4. How many basketballs are there? How many soccer balls are there?
Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the common difference d the general term Tn and the sum of the first n terms. Answer must
be in terms of q and z.
(b) Hence, find the sum of the first 10 terms in terms of q and z.
Answer:
[tex]d = q(z-1)[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Step-by-step explanation:
Given
[tex]T_1 = q[/tex]
[tex]T_2 = qz[/tex]
Solving (a1): The common difference (d)
d is calculated as
[tex]d = T_2 - T_1[/tex]
This gives:
[tex]d = qz - q[/tex]
Factorize:
[tex]d = q(z-1)[/tex]
Solving (a2): Sum of n terms
This is calculated using:
[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]
Substitute values for T1 and d
[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]
[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]
Factorize:
[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
Solving (b): Sum of first 10.
In this case, n = 10
So:
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
becomes
[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]
[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9z-9)[/tex]
[tex]S_{10} = 5q(2 -9+ 9z)[/tex]
[tex]S_{10} = 5q(-7+ 9z)[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Recall:
The common difference (d) of an arithmetic sequence = difference between the next term and the previous termSum of n terms, [tex]S_n[/tex] of arithmetic sequence = [tex]\frac{n}{2}[2a + (n - 1)d][/tex]Given:
First term, [tex]T_1 = q[/tex] (this is also "a")Second term, [tex]\\\\T_2 = qz[/tex]a. Common difference (d) = [tex]T_2 - T_1[/tex]
Substitute[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]
Sum of n terms:
[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]
Substitute by plugging in the value of d and a[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. Sum of the first 10 terms:
Substitute n = 10 into [tex]S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)][/tex][tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]
Simplify[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]
Add like terms[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Learn more here:
https://brainly.com/question/14311840
What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality
Answer:
Multiplication sorry I late
Step-by-step explanation:
Answer: Multiplication property of equality
7a/9bc divided by 21a/12b please I need this answerr
Answer:
4/9c
Step-by-step explanation:
When dividing by fraction, multiply by its reciprocal.
so 7a/9bc × 12b/21a = 84ab/ 189abc
Simplify
84/189c
4/9c
#7 Write an equation in slope-intercept form to represent the line perpendicular to 3x + 2y = -7 passing through the point (1, 1). O y=-3x + 4 O y = -3/2x + 1/3 y = 2/3x + 1/3 O y = 3x + 1
Answer:
y = 2/3 x + 1/3
Step-by-step explanation:
First find the slope of the given line by solving for "y":
3 x + 2 y = -7
2 y = - 3 x - 7
y = - 3/2 x - 7/2
which shows a slope of "- (3/2)"
Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"
We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:
y = 2/3 x + b
1 = 2/3 (1) + b
1 - 2/3 = b
b = 1/3
Then the equation of the line is:
y = 2/3 x + 1/3
which agrees with the third answer shown in the list of options.
Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
WILL MARK AS BRAINLIEST!!!!!
Assume there are 11 voting districts in the county. Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election. If she has an equal chance of 60% to win any one district, what are her chances of winning the election?
Answer:
53.3%
Step-by-step explanation:
Here we will use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.
P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰
P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004
P = 0.533
7 1/5 ÷ 8/1 in simplest form?
Answer:
9/10 (Decimal: 0.9)
Step-by-step explanation:
7 1/5 ÷ 8 = 9/10
(Decimal: 0.9)
What is the solution to the equation below?
1.5 (2x+ 5) +2.5 = 1.5 (-2x + 7)= 0.5
what is the estimate product of 33 and 76