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2 years ago

What is the slope of the line? x+3y=100

Mathematics

1 answer:

Dima020 [189]2 years ago

8 0

Answer:

y= (100 - x) / 3 or y= (100/3) - (1x/3)

Step-by-step explanation:

1) subtract x

2) divide the entire equality by 3

3) Solve

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In the literal equation below, what do C and F represent?<br> F = C + 32

ladessa [460]

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

7 0

3 years ago

what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively

AnnZ [28]

Answer:

$1002$

Step-by-step explanation:

First find difference between the divisors and remainders.

$16-10=6\\18-12=6\\21-15=6$

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of $(16,18,21)-6$

$16=2^4\\18=2(3^2)\\21=3(7)$

LCM of $(16,18,21)=2^4(3^2)(7)=1008$

Required Number $=1008-6=1002$

7 0

2 years ago

Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred

Ksivusya [100]

1. $m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}$ , then $m\angle ABC=m\angle ACD$ and triangles ADC and ACB are similar by AAA theorem.

2. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{AC}{AB}= \dfrac{AD}{AC}$ .

3. Knowing lengths you could state that $\dfrac{b}{c}= \dfrac{e}{b}$ .

4. This ratio is equivalent to $b^2=ce$ .

5. $m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}$ , then $m\angle BAC=m\angle BCD$ and triangles BDC and BCA are similar by AAA theorem.

6. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{BC}{BD}= \dfrac{AB}{BC}$ .

7. Knowing lengths you could state that $\dfrac{a}{d}= \dfrac{c}{a}$ .

8. This ratio is equivalent to $a^2=cd$ .

9. Now add results of parts 4 and 8:

$b^2+a^2=ce+cd$ .

10. c is common factor, then:

$b^2+a^2=c(e+d)$ .

11. Since $e+d=c$ you have $a^2+b^2=c\cdot c=c^2$ .

7 0

3 years ago

Read 2 more answers

X/6=36/24 what value of x makes this proportion true

Stolb23 [73]

Cross multiply or just multiply both sides by 24
24x/6=36
4x=36
divide both sides by 4
x=9

4 0

3 years ago

Read 2 more answers

The students in a statistics class record how many movies they have watched in the previous month. The data are listed below. 1,

ElenaW [278]

Answer:

A Histogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval "

Here we take a width of 2 units on the bar graph i.e. we consider the interval 0-2, 2-4, 4-6 and so on.

Now we arrange our table in these intervals with the help of the given quantities.

Step-by-step explanation:

3 0

3 years ago