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2 years ago

What is one factor of 30x2 − 33x + 3?

Mathematics

1 answer:

olganol [36]2 years ago

8 0

Answer:

10x - 1

Step-by-step explanation:

30x^2 − 33x + 3 =

= 3(10x^2 - 11x + 1)

= 3(10x - 1)(x - 1)

Answer: 10x - 1

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi

statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = $\frac{1}{3}$ A + 8, that is, one-third of Angela's savings + $8 will give us Eli's savings

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that if $10 is added to both their savings, Eli will still have $4 more than Angela.

So, we can solve both equations;

Equation 1: E = $\frac{1}{3}$ A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to eliminate the E: Subtract equation 1 from equation 2, so that;

A + 4 - ( $\frac{1}{3}$ A + 8) = E - E

$\frac{2}{3}$ A - 4 = 0

$\frac{2}{3}$ A = 4

A = 4 × $\frac{3}{2}$ = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

3 0

3 years ago

Read 2 more answers

Question 30(Multiple Choice Worth 1 points) (01.01) Given the equation 2x − 5 = 8, which order of operations completely solves f

xeze [42]

Add five to each side, then divide each side by 2. you will get 6.5 in the end

5 0

3 years ago

Complete the equation 0.037 x ? = 37 pls hurry

OleMash [197]

Answer:

The missing number is 1000

Step-by-step explanation:

0.037 × ? = 37

Divide both sides by 0.037.

$a = \frac{37}{0.037}$

Expand $\frac{37}{0.037}$ by multiplying both the numerator and the denominator by 1000.

$a = \frac{37000}{37}$

Divide 37000 by 37 to get 1000.

$a = 1000$

Hope it helps and have a great day! =D

~sunshine~

4 0

2 years ago

Drag each tile to the correct location. Each tile can be used more than once, but not all tiles will be used.

AysviL [449]

Answer:

y=770-55x --- given

y - 770 = 770 - 55x - 770 ----subtraction property of equality

y = -55x + 770 ---Simplification

y-770/-55 = -55x/-55 --- Division property of equality

-y-770/55=x---Simplification

Step-by-step explanation:

6 0

2 years ago

A ship travels 10 miles from Point A to Point B, makes a turn of 112, and travels 16 miles to Point C. If the ship travels direc

marin [14]

This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16. Using those values in the theorem looks like this:
$10^{2} + b^{2} = 16^{2}$
and $100+ b^{2} =256$
and $b^{2} =256-100$
so $b^{2} =156$
Take the square root of both sides to find that b = 12.5

8 0

2 years ago