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Romashka-Z-Leto [24]
3 years ago
13

What's the basic ratio for 12:42

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

Since the simplest form of the fraction 12/42 is 2/7, the simplest form of the ratio 12:42 is also 2:7.

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Tony Stark had 484 Iron Man suits. He wanted to divide them into groups of 22. How many groups of Iron Man suits were there?
vladimir1956 [14]

Answer:

22

Step-by-step explanation:

5 0
3 years ago
Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
3 years ago
NEED HELP BADLY !!!!
tatyana61 [14]

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

7 0
3 years ago
Mary spent a total of $354.71 for a party. She spent $200.76 on food, plus an additional $30.79 for each hour of the party. How
Rainbow [258]

Answer:

Total is 5 hours.

Step-by-step explanation:

... in the attached picture.

Hope this helps!

Choose me for brainliest please!!!

7 0
2 years ago
Solve the proportion/percent problem:
Shtirlitz [24]

The change that Angie will receive from an $100 bill is $38.944.

<h3>How to calculate the value?</h3>

Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:

= 3 × $24 = $72

Sales tax was then calculated at 6%. This will be:

= 6% × $72

= $4.32

Total cost = Cost + Tax

= $72 + $4.32

= $76.32

Coupon off = 20% × $76.32 = $15.264

Total amount paid = Cost - Coupon

= $76.32 - $15.264

= $61.056

The change gotten will be:

= $100 - $61.056

= $38.944

Learn more about money on:

brainly.com/question/24373500

#SPJ1

3 0
1 year ago
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