Main idea: Ratios, rates, and unit rates 1. Fill in the blanks to define the terms. A ratio _______________ two quantities. A proportion is an equation stating that two _______________ are equal. A rate compares two quantities that have different _______________. 2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column. A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-1) / 5 - (-3)

-4/8

= -1/2

Answer:

A is the correct option.

Step-by-step explanation:

Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.

Then,

(5x + 2) ° + 13° = 90°

5x + 15° = 90°

5x = 75°

x = 15°

Step-by-step explanation:

the slope (or gradient) of a line is the factor of x.

in our case here : 3

it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.

so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).

the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.

so, here

y = 3×0 + 7 = 7

=>

the y-axis intercept point is (0, 7).

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Answer:

3y+4x=12

when x is -2

3y+ 4(-2)=12

3y-8=12

3y=20

y=20/3=6.67

when x is -1

3y-4=12

3y=16

y=16/3=5.33

when x is 0

3y-0=12

3y=12

y=4

when x is 1

3y+ 4 =12

3y =8

y=8/3=2.67

when x is 2

3y +8 =12

3y=4

y=4/3=1.33

Answer:

[tex]( 3) - ( 4) + ( 18) + (6) - (5)[/tex]

[tex] (3+18+6)+(-4-5)[/tex]

[tex]( 27) + (-9)[/tex]

[tex] 18[/tex]

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

Answer:

the First, third, and fifth

Step-by-step explanation:

Since one half of 12 is 6, then those three expressions will be the same since they have the same answer

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

x = -5 + 5√3

Step-by-step explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

x = [-b ± √(b² - 4ac)] / 2a

x = [-10 ± √(10² - 4(1)(-50))] / 2(1)

x = [-10 ± √(100 - (-200))]/2

x = [-10 ± √300]/2

x = [-10 ± 10√3]/2

x = [-5 ± 5√3]

because x is a unit of length, it is positive

x = -5 + 5√3

Fractions are integers that have both a numerator and a denominator. They are represented as;  [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  [tex]27\frac{3}{11}[/tex]  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = [tex]27\frac{3}{11}[/tex] hours

Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.

To learn more, visit the link below;

https://brainly.com/question/24981566

Answer:

2,9457

Step-by-step explanation:

100+7% = 1.07

(1.07)^50 = 29.45702506

y = 1000(29.46)

y = 29,460

Answer:

option a. similar;AA similarity; triangle plm

Answer:

$0.20/lb

Step-by-step explanation:

2.99/15 = 199333

.20/lb

Answer:

-0.37 repeating

Step-by-step explanation:

PLS mark Brainliest

Answer:

(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units

down) that's the answer

Step-by-step explanation:

Hope it helps

Answer:

100.00-20=80

320.00-20=300

Step-by-step explanation:

the Answer is...:

X=195

Answer: X is 15

Step-by-step explanation:

Multiply both sides with 3

(x/3) + (10 x 3) = 15 x 3

x + 30 = 45

Add - 30 to both sides

x + 30 - 30 = 45 - 30

x = 15

Hope this helps!

Answer:  (y-9) = -4(x-1)

Step-by-step explanation: The format of a point-slope line is y − y1 = m(x − x1), where x1 and y1 are a known point on a line with slope m.  Given slope of -4 and a point of (1,9):

(y − y1) = m(x − x1)

(y − 9) = -4(x − 1)

This can be rearranged to the standard form:  y = -4x+13

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

Answer:

10% = 0.1 x 400 = 40

400 - 40 = 360$

Answer:

x = 23

Step-by-step explanation:

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

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

Hope this helps :)

............... that just 630

Answer:

60

Step-by-step explanation:

28 : 7 : : x : 15

28 / 7 = x / 15

4 = x / 15

x = 4 * 15

x = 60