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mart [117]
2 years ago
11

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the second equation is substituted into the first equation.
3x + 2y = −21
x − 3y = 4

A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
7 0

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

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The Ridgeport school district collected data about class size in the district. The table shows the class for sizes five randomly
vladimir1956 [14]

Answer:

A

Step-by-step explanation:

the mean is higher than kindergartens mean which shows its larger and the deviation is lower which shows less variation

5 0
2 years ago
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Ronch [10]

Answer:

Step-by-step explanation:

y = (x-1)²

vertex (1,0)

y-intercept = (0-1)² = 1

5 0
2 years ago
1) Find the mean of the following numbers: 5, 11, 8, 8, 7, 4, 10, 9, 7, 7, 6​
SashulF [63]
Mean = 5+11+8+8+7+4+10+9+7+7+6 divided by the number of observations which is 10

Therefore, mean = 73/10
Mean = 7.3
4 0
3 years ago
Write in simplest form
Gnoma [55]

Find the commomon denominator of 6 and 5.

It's 6 · 5 = 30.

\dfrac{5}{6}=\dfrac{5\cdot5}{6\cdot5}=\dfrac{25}{30}\\\\\dfrac{1}{5}=\dfrac{1\cdot6}{5\cdot6}=\dfrac{6}{30}

\left(\dfrac{5}{6}-\dfrac{1}{5}\right)\div\dfrac{4}{5}=\left(\dfrac{25}{30}-\dfrac{6}{30}\right)\div\dfrac{4}{5}=\dfrac{25-6}{30}\div\dfrac{4}{5}=\dfrac{19}{30}\div\dfrac{4}{5}

Divide by fraction is the same like multiply by reciprocal of this fraction:

=\dfrac{19}{30}\cdot\dfrac{5}{4}=\dfrac{19}{6}\cdot\dfrac{1}{4}=\dfrac{19}{24}

4 0
3 years ago
A doctor orders 20 grams of a 52% solution of a certain medicine. The pharmacist has only bottles of 40% solution and bottles of
Anvisha [2.4K]
Try, please, this:
1) Imagine, that pharmacist used 'x' gr. of 40% solution and 'y' of 70% solution.
Together (20 gr. of 52% sol.) it will be x+y=20.
2) From other side, the pharmacist combined 40x and 70y gramms, after obtaining together it is 52(x+y) gramms. In other words 40x+70y=52(x+y)
3) 
\left \{ {{x+y=20} \atop {40x+70y=52(x+y)}} \right. \ =\ \textgreater \  \  \left \{ {{y=8} \atop {x=12}} \right.
Answer: 8 gr. of 70% solution and 12 gr. of 40%.
4 0
3 years ago
Read 2 more answers
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