What two numbers multiplied together equal 42 but when added they equal -13

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Explanation:

m = Maggie's age (some positive whole number)

4m = four times her age

4m-7 = seven years younger than 4m = brother's age

Add up her age (m) and her brother's age (4m-7) to get a sum of 68.

m+(4m-7) = 68

5m-7 = 68

5m = 68+7

5m = 75

m = 75/5

m = 15

Maggie is currently 15 years old.

Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.

Their current year ages add to: 15+53 = 68 which confirms the answer.

Answer:

Yes. The factor is 3/2 (=1,5)

Step-by-step explanation:

They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.

Answer:

1) yes 2) 1.5

Step-by-step explanation:

have a nice day! <:

Answer:

y=-5/2x+3/2

Step-by-step explanation:

5x+2y=3

2y=3-5x

2y=-5x+3

y=-5/2x+3/2

Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

≅

Answer:

(y/5)-6

Step-by-step explanation:

quotient is dividing, less than is subtracting

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

Answer:

See below

Step-by-step explanation:

[tex] {5}^{2} + {2}^{2} = 25 + 4 = 29 \\ \\ {6}^{2} + {1}^{2} = 36 + 1 = 37[/tex]

The values are 29 = 5² + 2² and 37 = 6² + 1².

The definition of a square number states that they are numbers that have been multiplied by themselves. In other terms, a natural number is referred to as a square number if it is multiplied by itself.

Decimal squares are fairly simple to calculate, and the process is the same for both whole numbers (integers) and decimals.

Given numbers 29 and 37

to express in form of sum of two square

let = 29 = a² + b²

the perfect square number near 29 is 25

29 = 25 + 4

29 = 5² + 2²

and 37 = a² + b²

the perfect square near 37 is 36

37 = 36 + 1

37 = 6² + 1²

Hence the numbers in sum of two squares are,

29 = 5² + 2² and 37 = 6² + 1²

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Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

The price per foot is $0.91

Step-by-step explanation:

A 6-yard roll of butcher paper costs 16.38

1 yard = 3 foot

6 yards = 3 times 6 = 18 foot

the cost of 18 foot is $16.38

To find price per foot, we divide the cost of 6 yards by 18

16.38÷ 18 = 0.91

The price per foot is $0.91

[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 4+√-16[/tex]

[tex]\\ \sf\longmapsto 4+√16i[/tex]

[tex]\\ \sf\longmapsto 4+4i[/tex]

[tex]\\ \sf\longmapsto 4(1+i)[/tex]

Answer:

9%

Step-by-step explanation:

Set up a ratio:

[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]

Cross multiply: 33x = 35.97 * 100

33x = 3597

Divide by 33: x = 109

That means the tax is 9%.

Answer:

The number (5/3)³ written as a quotient of powers is; 5³/3³

According to the question;

We are required to determine write the number, (5/3)³ as a quotient of powers

The number (5/3)³ can be evaluated as;

= 125/27

= 5³/3³

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

-486

Step-by-step explanation:

Answer:

y = 3x - 13

Step-by-step explanation:

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

he is the best way to get a free agent and I ask 6262626

Because it is an isosceles triangle, the 2 sides that are given will be equal to each other.

15=4x+3

(subtract 3 on both sides)

12=4x

(divide by 4 on both sides)

x=3

Hope it helps!

Answer:

x = 3.

Step-by-step explanation:

1. 4x + 3 = 15

2. Subtract 3 from both sides.

3. Divide by 4 from both sides.

Answer:

y = 1/3x

Step-by-step explanation:

Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.

First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.

y + 2 = 1/3(x + 6)

y + 2 = 1/3(x) + 1/3(6)

y + 2 = 1/3x + 2

Now, let's isolate y on the left side by removing 2 from both sides.

y + 2 = 1/3x + 2

y + 2 - 2 = 1/3x + 2 - 2

y = 1/3x

So, y is equal to 1/3x. Hopefully that's helpful! :)

Answer:

Step-by-step explanation:

b = the number of boys, substitute below:

Correct choice is A

Answer:

11, 44, 24

Step-by-step explanation:

On the right side column you are adding 11 every time you add 4 on the left side column

For example :

4:11

8:22

12:33

16:44

20:55

24:66

Hope this helps!!! :)))

Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

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Answer:

Answer is a

Step-by-step explanation:

I think it's "A", im looking for answer as well :(

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

the answer is 4

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

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Answer:

8.0029 x[tex]10^{1}[/tex]

Step-by-step explanation:

8 x 10=80

2 x [tex]\frac{1}{100}[/tex]=0.02

9x[tex]\frac{1}{1,000}[/tex]= 0.009

add all ur answers together and u get 80.029

then in standard form that nwould be 8.0029 x[tex]10^{1}[/tex]

Hoped that helped:P

Answer:

B

Step-by-step explanation:

x = 5 is the equation of a vertical line parallel to the y- axis

The equation of a line parallel to it must have the same form, that is

x = - 2 ← vertical line parallel to x = 5