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padilas [110]
3 years ago
6

Solve the system using elimination.

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

x = 9(4)-34 = 2

Step-by-step explanation:

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Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Svetach [21]

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

3w^{2} +1 and 10w+8.

If we were to replace w with 4 and calculate, we will find the answer:

3*4^{2}  +1=3*16+1=48+1=49

10*4+8=40+8=48

Since the first expression, 3w^{2} +1, is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

6 0
2 years ago
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
2) A furlong is 1/8 of a mile. What part of a mile is 4 furlongs?
Ludmilka [50]

Answer:

1/2 mile

Step-by-step explanation:

(1/8)*4 = 1/2 mile

6 0
3 years ago
Read 2 more answers
Fifteen more than four times a number is equal to the difference between 191 and four times the number. Find the number.
Semenov [28]

Answer:

The number would be 22.

Step-by-step explanation:

In order to solve for the number, we need to make both statements into numerical statements.

Fifteen more than four times a number = 15 + 4x

difference between 191 and four times the number = 191 - 4x

Now we set them equal to each other.

15 + 4x = 191 - 4x -----> Add 4x to each side

15 + 8x = 191 ------> Subtract 15 from both sides

8x = 176 -------> Divide by 8

x = 22

5 0
3 years ago
Question in the photo
leva [86]

Step-by-step explanation:

The scale factor is 12/6 = 10/5 = 2.

7 0
2 years ago
Read 2 more answers
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