Which pair of ratios form a proportion? 97 points

5 : 10 and 10 : 15

8 : 12 and 18 : 27

9 : 15 and 24 : 30

6 : 20 and 7 : 30

Answer:

A

Step-by-step explanation:

30% of 100 = 30

100 - 30 = 70

15% of 70 = 10.5

70 - 10.5 = 59.5

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

x=-1

The value of x in terms of b is given by equation x = -3/b

The value of x when b = 3 , is x = -1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The given equation is:

-2(bx - 5) = 16

To solve for x in terms of b, we need to isolate x on one side of the equation. We can start by distributing the -2 on the left-hand side:

-2bx + 10 = 16

Next, we can subtract 10 from both sides:

-2bx = 6

Finally, we can divide both sides by -2b to solve for x:

x = -3/b

So the value of x in terms of b is -3/b.

To find the value of x when b is 3, we can substitute b = 3 into the equation we just found:

x = -3/b = -3/3 = -1

Hence , the equation is solved and when b is 3, the value of x is -1.

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Answer:

Penny's earning for driving h hours is represented by the function

P = 26h + 75

Step-by-step explanation:

- The function p = 20h + 75 represents her daily pay

- The function b = 60h × (0.10) represents the amount she earns for her bonus.

Penny's earnings is the addition of her daily pay and bonus.

It is represented by the function P.

P = (20h + 75) + 60h × 0.10

Simplifying this, we have

P = 20h + 75 + 6h

= 26h + 75

Answer:1st one:87

2nd one:85 i think this is right

Answer:

Step-by-step explanation: 1/8 = .125

 move two decimals to right = 12.5

The decimal expansion of 1/8 is 0.125, which is also the probability of drawing a clear marble from a jar of eight marbles, if only one of those marbles is clear.

The question asks for the decimal expansion of 1/8. To determine the decimal expansion of the fraction, you simply divide the numerator (the top number, which in this case is 1) by the denominator (the bottom number, which in this case is 8). When performed, 1 divided by 8 results in the decimal 0.125. This concept is similar to calculating probabilities in which the total number of outcomes is divided by the desired outcome. For example, in the case of the marbles in a jar, if one is clear and there are eight total, the probability of drawing a clear marble is also 1/8 or 0.125.

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The decimal of  56/15 as rounded to the nearest tenth is 3.7.

It is the basic arithmetic operation, in which you are separating the number into some parts.

On dividing 56 /15 we get

56 / 15 = 3.7333333333333

The round nearest to5 is taken as value 1 and less than 5 is taken as value 0.

So, The round to the nearest tenth is 3.7

Therefore, 56/15 as a decimal rounded to the nearest tenth is 3.7.

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Final answer:

To convert 56/15 to a decimal and round to the nearest tenth, you divide 56 by 15 to get 3.7333 and then round it down to 3.7 since the hundredths place is less than 5.

Explanation:

The question is asking to convert the fraction 56/15 to a decimal and round it to the nearest tenth. To convert a fraction to a decimal, you need to divide the numerator by the denominator. In this case, divide 56 by 15. The decimal form of 56/15 is approximately 3.7333. When rounding this number to the nearest tenth, we look at the hundredths place, which is a 3. Since it's less than 5, we do not round up. Therefore, the decimal rounded to the nearest tenth is 3.7.

Answer:

She would get $13 back.

Step-by-step explanation:

2 rolls: $1

A box of diapers: $3

She got 2 paper towels which she would get for a dollar.

2 boxes of diapers:

3 + 3 = 6

20 - 6 = 14

14 - 1 = 13

Feel free to let me know if you need more help! :)

Answer: She would get $13 back.

Answer:

The mean is every number added divided by the number of the numbers, so in your case would be all the populations added divided by 7

Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

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Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

Step-by-step explanation: the 1st answer

Answer:

It’s 8 1/6

Step-by-step explanation:

The area of the circle is 201.1 sq cm. Option B

Step-by-step explanation:

Given,

The radius (r) of the circle = 8 cm

To find the area of the circle.

Formula

Area of the circle = πr²

So,

Area = [tex]\frac{22}{7} X8^{2}[/tex] sq cm

= 201.14 sq cm = 201.1 sq cm

Hence,

The area of the circle is 201.1 sq cm.

Answer:4189.33cm^3

Step-by-step explanation:

To find the volume of a sphere of diameter 20cm

Volume of a sphere=4/3πr^3

R=20/2

R=10cm

V=4/3×3.142×(10cm)^3

V=4189.333cm^3

Answer:

106

Step-by-step explanation:

numbers are 24, 24, 24, 34

24 + 24 + 24 + 34 = 106

Answer:

x + y=24  

x=24-y = 3x+5y=100  

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.

Answer:

the answer is B

Step-by-step explanation:

The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.

The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.

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Answer:

18 degrees.

Step-by-step explanation:

115-97=18

The calculated measure of the angle MRN is 18 degrees

From the question, we have the following parameters that can be used in our computation:

Triangle = MNR

Angle N = 97 degrees

From the attached figure

Segment NM is an extension from the exterior angle of M

By the sum of opposite interior angles of triangle, we have

MRN + ∠N = 115 degrees

This means that

MRN + 97 = 115 degrees

Subtract 97 from both sides

MRN = 18 degrees

Hence, the measure of the angle MRN is 18 degrees

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Answer:

43 minutes.

I do not know if this question is a joke, but I hope this helps

Answer:

A) y= 3 X+1  

Step-by-step explanation:

A direct variation is of the form

y = kx

A) y= 3 X+1   not a direct variation since we add 1 to it

B)y= 16x  direct variation

C) y = 4x  direct variation

D) y=-9x direct variation

Answer:

The answer is A) y= 3 X+1  

Step-by-step explanation:

I broke it down on paper.

Answer:

Morgan earns more money per hour on Friday.

Step-by-step explanation:

Using the equation d= 9.5h, we see that the hourly rate for Saturday is 9.5, which is $9.50.

On Friday, she babysits 6 hours and earns $63.  This is an hourly rate of 63/6 = 10.5, or $10.50.

She earns more money on Friday.

The statement that is true is C. Morgan earns more money per hour on Friday.

Therefore, Morgan earns more money per hour on Friday.

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Answer:

-3(x + 2)(5x - 3)

Step-by-step explanation:

-15x² – 21x + 18

-3(5x² + 7x - 6)

-3[5x² + 10x - 3x - 6]

-3[5x(x + 2) - 3(x + 2)]

-3(x + 2)(5x - 3)

blood type A is independent

The correct answer is the fourth option.

Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable

From the graph we see that there seems to be a linear relationship but not fully perfect.  Because so many points deviate from the line we can only say that there is a moderate association.

Whenever x increases y increases also the linear regression line of fit has a positive scope.

Hence there is a positive association between variable x and variable Y.

Answer:

No

Step-by-step explanation:

B cause only numbers that have a perfect square are even number of factors.

For example

[tex]25 = 5 .1.25[/tex]

But,

[tex]16 = 1 .2.16.8.4[/tex]

Hence, 16's number of factors is more than 25

Brainliest would be appreciated :))

Answer:

Step-by-step explanation:

hello :

the slope-intercept form is : y-(-2) = m(x-(-8))    when : m is the slope

Given:

Quadrilateral PQRS is a rhombus.

To find:

The value of y.

Solution:

In the rhombus PQRS,

PS = 10y and SR = y + 45

Property of rhombus:

All sides are congruent.

⇒ PS = SR

⇒ 10y = y + 45

Subtract y from both sides.

⇒ 10y - y = y + 45 - y

⇒ 9y = 45

Divide by 9 on both sides.

[tex]$\Rightarrow \frac{9y}{9} =\frac{45}{9}[/tex]

⇒ y = 5

The value of y is 5.

Answer:

x = 24

Step-by-step explanation:

Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.

∠ SRT = ∠ STR = 4x - 60

∠ STR and ∠ STU are adjacent and supplementary, thus

∠ STR + ∠ STU = 180, substitute values

4x - 60 + 6x = 180, that is

10x - 60 = 180 ( add 60 to both sides )

10x = 240 ( divide both sides by 10 )

x = 24

Answer: A=70 square units

Step-by-step explanation:

The area of a triangle can be found using the formula [tex]A=\frac{1}{2} bh[/tex]

Let 5=h and 7=b

Plug in the values and solve

[tex]A=\frac{1}{2} (7)(5)[/tex]

[tex]A=17.5[/tex]

However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.

[tex]A=17.5*4[/tex]

[tex]A=70[/tex]