subtract rational numbers 4-10

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

Answer:

Step-by-step explanation:

Perimeter of rectangle = 2 times width + 2 times length

P= 2W + 2L

Let's say W = width , L= length

We are told the width is 50% more than the length.

width = 0.5 + L

W = 0.5 + L

From here we can say

Perimeter = 2W + 2L so,

P = 2(0.5 + L) + 2L

P = 1 + 2L + 2L

P = 1 + 4L

We are also told perimeter is 65 (P=65)

65 = 1 + 4L

Subtract 1 from both sides

64 = 4L

Divide 64 by 4 to find L

L = 64/4 = 16

Now since we know L= 16, this means

W = 0.5 + L is the same as

W = 0.5 + 16 = 16.5

Therefore Length = 16, width = 16.5

Answer:

The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.

Step-by-step explanation:

Answer:

Where s represents silver and g represents gold,

Length constraint: s+g=240

Cost constraint: 0.04s+0.07g=15

s= 60

g=180

Step-by-step explanation:

The measurement of silver and gold threads in yards is given as 60 and 180 respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the number of yards for silver threads be x and that of gold be y.

Then the equation for the total yard is given as,

x + y = 240                  (1)

And, the equation for the cost is,

0.04x + 0.07y = 15      (2)

The value of x from equation (1) is x = 240 - y.

Substitute the value of x in equation (2) to obtain,

0.04(240 - y) + 0.07y = 15  

=> 9.6 - 0.04y + 0.07y = 15

=> 0.03y = 15 - 9.6

=> 0.03y = 5.4

=> y = 180

Substitute the value of y in x = 240 - y to obtain,

x = 240 - 180 = 60

Hence, the costume designer should get  silver and gold thread of 60 yards and 180 yards respectively.

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Answer:

it represents the surface of the sea

Step-by-step explanation:

i did the test lol :)

Answer:

i think its 3

Step-by-step explanation:

9514 1404 393

Answer:

  r = 1

Step-by-step explanation:

Solving the equation for r gives ...

  r = y/x

Using the first line of the table, we find r to be ...

  r = 5.8/5.8 = 1

The constant of proportionality is r = 1.

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

A higher number.

Step-by-step explanation:

You don't want your credit to be low, and a higher number beats all of them.

You want high credit.

Not low.

Answer:

definately you want a higher number

Answer:

4/13

Step-by-step explanation:

To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.

Answer:

4/13 should be the answer as it is the reciprocal.

Step-by-step explanation:

I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer

Answer:

Hey!

Here's your answer!!

➡️Don't change the subject⬅️

Why do they even exist!?

Gotta study those experiments which we never perform and those people who are long gone xD

Answer:

i think it is D

Step-by-step explanation:

Answer: In math but if u mean “irl” they use it in business like how much is in there inventory (stock) and the price stock they can make to get an profit and etc.

Step-by-step explanation:

Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm

Step-by-step explanation:

mode = 65*2.54 = 165.10 cm

median = 72*2.54 = 182.88 cm

mean = 70*2.54 = 177.80 cm

The values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Given,

The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.

We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.

There is 2.54 cm in one inch.

Example:

If we want to find cm in 4 inches.

We just multiply 4 with 2.54 cm.

2.54 cm = 1 inch

4 x 2.54 cm = 4 x 1 inch

10.16 cm = 4 inches

We have,

We know that,

1 inch = 2.54 cm

Mode = 65 inches

1 inch = 2.54 cm

64 inches = 64 x 2.54 cm = 162.56 cm

Median = 72 inches

72 inches = 72 x 2.54 cm = 182.88 cm

Mean = 70 inches

70 inches = 70 x 2.54 cm = 177.8 cm

Thus the values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

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Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

Answer:

4/5 , 40/50, 80/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total length of the rope = 20 inches.

Martha cuts 3 pieces of rope that is 5 1/4 inches each.

Find the total length of the 3 pieces of rope:

Total of 3 pieces of rope = 5 1/4 + 5 1/4 + 5 1/4 = 15.75

Since we know the total rope length is 20 inches, if you subtract the total length of the 3 pieces of rope you will get the remaining length of rope.

Remaining length = 20 - 15.75

= 4.25 inches of rope

Answer:

70/100=x/20 cross multiply you get 1400/100=14

If Ashley sold 70% of her candy bars it means she has 30% left to sell

of means times

30%=.30

20 x .30= 6 candy bars to sell

Step-by-step explanation:

give brainliest please :)

Answer:

6

Step-by-step explanation:

70% of 20 is 14

20-14=6

let me  know if im wrong

Answer:

936

Step-by-step explanation:

Because 18 times 52= 936

Answer:

B

Step-by-step explanation:

there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)

Answer:

see attached

Step-by-step explanation:

Answer:

Dave needs to mow 14 lawns to have enough money to buy a bike.

Step-by-step explanation:

180-40=140, 140/10=14. Dave needs to mow 14 lawns to have enough to buy a bike.

Answer:

The value is   [tex]p-value  =  0.22663[/tex]

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  [tex]H_o  :   p =  0.08[/tex]

    The alternative hypothesis is  [tex]H_a  :  p >  0.08[/tex]

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      [tex]p-value  =  P(Z > z)[/tex]

=>    [tex]p-value  =  P(Z > 0.75)[/tex]

From the z-table  

    [tex]P(Z > 0.75) =  0.22663[/tex]

So  

    [tex]p-value  =  0.22663[/tex]

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1.) Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2.) Mixture A

Step-by-step explanation:

Given the daya:

MIXTURE A

___Salt A(teaspoons _____water (Cups)

___4 _____________5

___7 _____________8 3/4

___9 _____________ 11 1/4

Mixture B is defined by the equation'

y = 2.5x ;

x = number of teaspoons of salt ;

y = number of cups of water

Respond to the following questions:

1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

For mixture B:

If number of cups of water, y = 10

y = 2.5x ; 10 = 2.5x

10/2.5 = x

x = 4 ; 4 teaspoons of salt

Let's write an equation in terms of y and x to represent mixture A.

Mixture A:

5 = k4

k = 5/4

k = 1.25

Equation for mixture A:

y = 1.25x

10 = 1.25x

10/1.25 = x

x = 8 ; 8 teaspoons of salt

Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2. Which mixture tastes saltier? Explain how you know.

Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.

1. Mixture A will use 4 more teaspoon of salt

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Recall:

From the information given:

Therefore, k = y/x

Equation for mixture B is given as: y = 2.5x

Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.

Using (4, 5):

Equation for Mixture A is: y = 1.25x

1. Let's find the mixture that will have more salt if y = 10 (cups of water).

Mixture A: y = 1.25x

10 = 1.25x

8 = x

x = 8

Mixture B: y = 2.5x

10 = 2.5x

4 = x

x = 4

Thus, Mixture A will use 4 more teaspoon of salt.

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

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you can't do that. there isn't enough detail. we don't know how much each item costs

Answer:

28 nickels and 52 dimes

Step-by-step explanation:

.05x 28 + .10 x 52 = 6.60

1.40 + 5.20 = 6.60

^28  +   ^52  = ^80

Answer:

The slope of the line is

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