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3 years ago

Solve the following system by substitution. 6x + 7y= 20 y = 2x

Mathematics

1 answer:

sweet [91]3 years ago

4 0

Answer:

Hope this helps!

Step-by-step explanation:

Point Form:

(1,2)

Equation Form:

x = 1 , y = 2

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The marching band at parkland high school has 128 students of these 18.75% are ninth graders how many ninth graders are there in

Helen [10]

Hey, Melany. To answer this problem, simply set up a proportion: $\frac{18.75}{100} = \frac{x}{128}$ . Now let's solve for x.

- Cross multiply: $\frac{18.75*128}{100*x} --> 2400 = 100x$

- Isolate x:

$\frac{2400}{100} = \frac{100x}{100}$

This means that x = 24.

There are 24 9th graders in the band.

6 0

4 years ago

Please help! Name an angle adjacent and congruent to angle AOC ( diagram in picture)

kipiarov [429]

Answer:

Angle DOC

Step-by-step explanation:

Since angle AOC and angle DOC are ajacent angles that form a straight line, they are supplementary to each other.

By the definition of supplementary angles, you can determine that angle AOC + angle DOC = 180.

Also notice that angle DOC is a right angle (90 degrees), so you can also determine that angle AOC is also a right angle since they are supplementary.

7 0

3 years ago

For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$

2. $x=1$

QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

4 0

3 years ago

Is 4/3 and 8/6 a proportion

Alexus [3.1K]

Answer:

yes

Step-by-step explanation:

If you divide one into the other and the answer is 1 then they are of the same ratio.

6 0

3 years ago

Read 2 more answers

What equation shows 10x-2y=10 in slope intercept form

Vesna [10]

10x-2y=10 We need to solve this equation for "y" to put it into slope intercept form:

10x-2y=10
-2y = -10x +10 Subtracted 10x from both sides
y = 5x - 5 Divided both sides by -2

y = 5x - 5 Is slope intercept form

5 0

4 years ago