Jackie is 8 years younger than her neighbor, Paula. The sum of their ages is 30. How old are Jackie and Paula?

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

[tex]{ \boxed{ \sf \color{blue}{answer}}}[/tex]

x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras

Answer:

98.89

Step-by-step explanation:

Answer: 9/890=0.01011235955

Step-by-step explanation:

Answer:

Just agree on having ice cream

Step-by-step explanation:

Answer:

If angle C is supplementary to angle D, then angle D is 60 degrees.

If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Number of red balls =3

Number of black balls =7

Total number of balls =10

Let ,P(A)= Probability that first is red

P(B)= Probability that second is red

If second is red, there are 2 possible ways

Either first is red and second is red.

Or first is black and second is red.

So,

P(B)=

10

3

C

1

×

9

2

C

1

+

10

7

C

1

×

9

3

C

1

=

90

6

+

90

21

=

90

27

=

10

3

Probability that first is red, given second is red

P(A/B)=

P(B)

P(A∩B)

=

10

3

10

3

C

1

×

9

2

C

1

=

10

3

90

6

=

90

6

×

3

10

=

27

6

=

9

2

Answer:

[tex]x^{2} +6x+5[/tex]

Step-by-step explanation:

A=lw

A=(x+5)(x+1)

A= [tex]x^{2} +6x+5[/tex]

The distance she drove east from the starting point is 54.54 miles.

The given parameters include;

initial displacement of Erica, d₁ = 25 miles south

final position of Erica, d₂ = 60 miles east

The displacement of Erica from the initial position as shown in the diagram is calculated as;

Apply Pythagoras theorem, to solve for x;

x² = d₂² - d₁²

x² = 60² - 25²

x² = 2975

x = √2975

x = 54.54 miles

Therefore, the distance she drove east from the starting point is 54.54 miles.

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Answer:

b = -3

Step-by-step explanation:

Using the graph, when x=2

y = -3

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

Answer:

1. false

2. true

Step-by-step explanation:

I hope it's correct

The statement a) false and b) true are the correct answers.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

An inequality which involves a linear function is a linear inequality. It looks like a linear equation, except that the ‘=’ sign is replaced by an inequality sign, called linear inequations.

a) Any linear inequality in one variable has a single-value solution like an equation.

A solution to a linear inequality is a real number that will produce a true statement when substituted for the variable.

Linear inequalities have either infinitely many solutions or no solution.

Thus the statement is false.

b)  A value is a solution to an inequality if we can substitute it into the inequality and get a true statement.

Any solution of an inequality in one variable is a value of the variable.

Thus the statement is true.

Hence we can conclude that for the statement a) false and b) true are the correct answers.

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Answer:

I don't understand the equation, please state it differently

Answer:

x = -1 y = 3

Step-by-step explanation:

x = 2y-7

2x + 3y = 7

Substitute x =2y-7 in 2y + 3y = 7

2(2y-7) + 3y = 7

4y-14+3y = 7

7y - 14 = 7

7y = 7 + 14

7y = 21

7y/7 = 21/7

y = 3

Substitute 3 for y in x = 2y-7

x = 2(3) - 7

x = 6 -7

x = -1

Answered by Gauthmath

I hope it's right have a great day :)

Step-by-step explanation:

Hope you understand through the steps on the attachment, if not kindly reach out

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.

Answer:

Angle A = 42°

Side b (Opposite side of angle B) = 13

Side c (Opposite side of angle C) = 29

Answered by GAUTHMATH

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex]

Answer:

-3,-1.5,3

Step-by-step explanation:

(x+3) x=-3

(x-3) x=3

(2x+3) x=-3/2

Answer:

6

[tex] \sqrt{2} [/tex]

the answer is B. 7

Step-by-step explanation:

it's the number u see the most therefore its the most common

Answer:

D. 10 maybe?

Step-by-step explanation:

because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Answer:

should be 17

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

9514 1404 393

Answer:

  y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

  -1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

  y = mx + b . . . . . line of slope m and y-intercept b

  y = 5/3x + 8

Answer:

[see below]

Step-by-step explanation:

Point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

(x1, y1) - a point

m - slope

We are given the point of (2, -7), and the slope of -5.

[tex]y-y_1=m(x-x_1)\rightarrow y-(-7)=-5(x-2)\rightarrow\boxed{y+7=-5(x-2)}[/tex]

Hope this helps.

Answer:

50 percent?

Step-by-step explanation:

Answer: A) 1

Answer:

0.028x-6-0.48x-2+0.552x

(0.028-0.48+0.552)x-6-2

0.1x-8

The simplified expression, when evaluated for x=36, is -4.4, when following expression and evaluate for x=36 b= 0.02(1.4x - 300)-0.2(2.4x+10)+0.552x

To simplify the expression and evaluate it for x=36, let's break it down step by step:

0.02(1.4x - 300) - 0.2(2.4x + 10) + 0.552x

First, let's simplify the terms within each set of parentheses:

0.02 * (1.4 * 36 - 300) - 0.2 * (2.4 * 36 + 10) + 0.552 * 36

Next, perform the multiplications and additions/subtractions within each set of parentheses:

0.02 * (50.4 - 300) - 0.2 * (86.4 + 10) + 0.552 * 36

0.02 * (-249.6) - 0.2 * (96.4) + 19.872

Now, evaluate the remaining multiplications:

-4.992 - 19.28 + 19.872

Finally, perform the additions and subtractions:

-4.992 - 19.28 + 19.872 = -4.4

Therefore, the simplified expression, when evaluated for x=36, is -4.4.

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Step-by-step explanation:

C. 45 rounds per hour. is the answer

Answer:

D (43 Rounds Per Hour)

Step-by-step explanation:

Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.