A test has 20 questions and is worth 100 points. The unit rate is Points per question?

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]

Using the model to solve the following expression given

a)  [tex]\dfrac{1}{4} \div 2[/tex]

[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]

b)

[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2}[/tex] x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Where,

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]

[tex]y - 4 = \frac{3}{2}x - 12[/tex]

[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

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Answer:

You might need to be more specific, it could be 4 puppies to 5 dogs, or 4 apples to 5 oranges or 4 cups of flour to 5 cups of flour.

Step-by-step explanation:

The value of 4:5 is 4 for every 5 like 4 cups of sugar for every 5 cups of flour

The simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that the ratio is 4:5.

To convert mixed numbers into improper fractions, when A is the numerator or B is the denominator,

If either A or B is a decimal number, multiply both of their values by the same factor of 10, which will remove all decimal places.

If one value is a whole number and the other is a fraction, you should try to reduce the fraction to a whole number or convert the whole number to a fraction by giving it a denominator of 1.

= 4 / 5

We have to apply the division operation in which we have to divide the number 4 by 5 in order to obtain the improper fraction values as,

=0.8

Thus, the simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.

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Answer:

Step-by-step explanation:

m= rise over run

m= -13/5

Anwser: -13/5

Step-by-step explanation:

use the slope formula

y2-y1/x2-x1

mark your points(makes it easier)

(6,-6) (1,7)

x1. y1. x2 y2

plug in your points

(7-(-6)

1-(6)

= -13/5 (slope)

Answer:7/12

Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

63 is this right?

Step-by-step explanation:

10 x 9 = 90

so 7 x 9 = 63

Answer:

[-4,5]

Step-by-step explanation:

you look on the starting point and the ending point of the y-axis ( you always start with the smallest value)

Answer: 1.728330724e+25 thats what it said when I calcuated it.

Answer:

11,600

Step-by-step explanation:

calculated

Answer: 400 x 29=  11,600

As per the quadratic equation, the given equation can be modified into    (x - 2)² = 1. The value of x is 3, 1.

A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.

Given equation: x² - 4x + 3 = 0

⇒ x² - 4x + 3 + 1 = 1          (By adding 1 on either side)

⇒ x² - 4x + 4 = 1

⇒ x² - 2 × x × 2 + 2² = 1

⇒ (x - 2)² = 1

⇒ x - 2 = ±1

⇒ x = 3, 1

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Answer:

I got x= 1/5 and y= -67/25 (sorry if it is wrong)

Answer:

x= 1/5

y= −67/25

Step-by-step explanation:

If you need help with these sorts of problems, go to math papa.

Insert a question... for example, this question you would type in

"2x+5y=-13;3x-5y=14"

This helps a bunch with a variety of math questions. I also recommend using mathaway!

Answer:

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Step-by-step explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

[tex]\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}[/tex]

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Answer:

3rd choice 0.57

Step-by-step explanation:

when rounding to the tenth place we look at the hundreds place and when it greater than or at 5 we round up and when it's less than 5 we round down.

1) explanation:0.7 when rounding to the tenth place. since the 8 was greater than 5 we round-up and get 0.70.

2)explanation: 0.5 when rounded to the tenth place the hundreds place which is 2 is less the 5 so we round down and get 0.50.

3)explanation: 0.6 when rounded its hundreds place is greater than 5 so we round up and get 0.60.

4)explanation: 0.7 when rounding to the tenth place. since the 9 was greater than 5 we round-up and get 0.70.

hopes this help you

Answer: -9

Step-by-step explanation:

You count down the distance from T to K

Answer:

-9

Step-by-step explanation:

you are counting from t to k but its going to the left of the number line to its negative.

Answer: The value of x is 0.5?

Step-by-step explanation:

Answer:

[tex](9,-1)[/tex]

Step-by-step explanation:

Follow the same guidelines from the other answer. Hope this helps!!

Answer:

$4 each

Step-by-step explanation:

Answer:

each ticket cos $4

Step-by-step explanation:

because is you multiply 4 × 6 is 16

and 22-16=6

Answer:

The Domain are -2,3,-5,0

The Range are 0,8,10,3

Answer:

the first one is c 2x+y=7/ the second one y=2x+7

Step-by-step explanation:

y= -2x +7 so slope good

subtract 10 for the x variable -3 so 5,-3 and your good.

use y2-y1 over x2-x1 and you find 2x and see that 0,7 is slope.

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Answer

Law of Sines

Step-by-step explanation:

If you have all three side lengths, you can use law of sines.

side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c

not sure if that makes sense but look up the law of sines!

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr