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3 years ago

9

Luke has a string that is 6 inches long and a string that is 11 inches long .How many inches of string does Luke have?Draw a dia

gram. write a number sentence using □ for the missing number.Solve

1 answer:

Ne4ueva [31]3 years ago

4 0

6 + 11 = 17" of string.

draw both pieces of string showing the missing number as the total length of both strings.

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frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

7 0

2 years ago

Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.

a_sh-v [17]

Using it's concept, it is found that the relative frequency probability of rolling an even number based on this experiment is $\frac{11}{25}$ .

A relative frequency is the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

50 dices are thrown, hence $T = 50$ .
22 resulted in an even number, hence $D = 22$

The <u>relative frequency</u> is given by:

$f = \frac{D}{T} = \frac{22}{50} = \frac{11}{25}$

A similar problem is given at brainly.com/question/20630951

8 0

2 years ago

The lunch lady had 5 pound of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she m

jekas [21]

She could make 20 servings of lasagna.

There are 4 servings per pound of lasagna, and there are 5 pounds total.
4 x 5 = 20

6 0

2 years ago

Subtract. Write your answer in simplest form.<br><br> 9 1/2- 1 6/7

yaroslaw [1]

The answer is 9 1/2 - 1 6/7 = 4 1/8 hoped this helped

5 0

2 years ago

The store allowed 85 people in 5 hours .. how many people were allowed to enter per hour?

ale4655 [162]

Answer:

17 people per hour

Step-by-step explanation:

85/5

3 0

2 years ago