Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?​

Answers

Answer 1

Answer:

10

Step-by-step explanation:

If Sabrina is 5 & Michael is 7. (5×7=35)

Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).

Answer 2

Answer:

Meghan is 10 years old

Step-by-step explanation:

We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.

We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:

m = 2x

Michael (M) is 3 years younger than Meghan. So we write:

M = m - 3

The product (multiplication) of Sabrina's and Michael's age is 35. So we write:

Mx = 35

To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.

M = 2x - 3

Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:

x(2x - 3) = 35

2x² - 3x = 35

2x² - 3x -35 = 0

(2x - 7)(x - 5) = 0

x = ⁷⁄₂ or 5

we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:

m = 2(5)

m = 10


Related Questions

The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?​

Answers

Step-by-step explanation:

could you please mark me as the brainliest answer

Step-by-step explanation:

The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.

Then the area of the triangle will be

2

1

×150×200=15,000 m

2

.

PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)

Answers

Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Step-by-step explanation:

Need answer for this please.

Answers

Answer:

y= - 5x+40

Step-by-step explanation:

I graphed this out. Remember that in parallel lines, the slopes are always the same.  

Simplify this expression using the distributive property

Answers

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]

The Distributive Property states that

[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]

[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.

Example:

[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]

[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]

[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]

[tex]\rm{Have\;a\;great\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]

If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?

Answers

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°

Answers

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

9514 1404 393

Answer:

  34°

Step-by-step explanation:

It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)

  ∠ABC + ∠CBD = ∠ABD

  ∠ABC + 30° = 64°

  ∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation

(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP

Answers

Answer:

Always

Step-by-step explanation:

Answer:

never.

Step-by-step explanation:

What equations are equal to 3x-12=24

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know the answer to this question. Good luck!

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m​

Answers

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = [tex]\sqrt{28}[/tex]

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

[tex]\rm H^2 = P^2 + B^2[/tex]

[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex]  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

For more information please refer to the link given below

https://brainly.com/question/16426393

How many ? Help me as soon as possible

Answers

Answer:

3 meters

Step-by-step explanation:

Distance covered in 1 second

[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]

3 meters because 7.5/2.5 = 3

Find the direction of AB where A(3,0) and B(4,1).​

Answers

Answer:

Required Answer:-A (3,0)B (4,1)

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]

Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7

Answers

The greatest common factor is 7 .

What is the amount of discount?

Answers

Answer:

$3.75

Step-by-step explanation:

give brainliest please

Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?

Answers

Joseph and Jasmine are both 33


1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answers

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

What is sin45°*sin30°*cos60°

Answers

Answer:

[tex]\frac{\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]

10x=6x-24

help!!!! me pleasee!!​

Answers

Answer:

x = -6

Step-by-step explanation:

10x = 6x - 24

Subtract 6x from both sides.

4x = -24

Divide both sides by 4.

x = -6

What is the slope of the line in the graph?

Answers

Answer:

1/2

Step-by-step explanation:

went up one across two. rise over run y over x

Answer:

1/2

Step-by-step explanation:

Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2

Answers

Answer:

7

Step-by-step explanation:

Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)Solution

Substituting n with -2

f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7

Evaluate 9/m + 4 when m = 3

Answers

Answer:

Step-by-step explanation:

9/3 = 3

3+4 = 7

The answer is 7!

Answer:

7

Step-by-step explanation:

First, plug in m.

9/3+4

Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.

9/3=3

The equation is now simplified to 3+4, which is 7.

Hope this helps! Have a great day :D

Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age

Answers

Answer:

x= kaylas age

older sister: 2x+1

younger sister: x-3

x+2x+1+x-3=26

4x-2=26

4x=28

x=7 years old

Step-by-step explanation:

Kayla would be 7 years old

Heyy, I REALLY need help on this

Answers

Answer:

ABC is a right angled triangle

BCD is also a right angled triangle

ABD is a scalene triangle

9514 1404 393

Answer:

  ∆ABC ~ ∆BDC ~ ∆ADB

Step-by-step explanation:

The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...

  ∆ABC ~ ∆BDC ~ ∆ADB

By 10 a.m., Andrew has read 85% of his emails he received on Tuesday. If Andrew received 40 emails, how many emails has he read so far?

Answers

Answer: 35

Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)

what is the opposite of -(-15)

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15

19. The marked price of a certain handbag is $400. After two successive
sales, the selling price of the handbag becomes $225. If the discount
per cent in each sale is x%, find the value of x.

Answers

Answer:

x = 25%

Step-by-step explanation:

At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.

At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.

The value of x remained the same for both sales. x = 25% or 0.25

Guys please help I'm being timed

Answers

Answer:

C

Step-by-step explanation:

can you solve 1 2/3 x 1 1/4

Answers

Answer:

25/12 or 2 1/12

Step-by-step explanation:

calculator

solve the equation
pls help

Answers

X= root square of y-49

What is the equation of the line that passes through the point(6,4) and has a slope of -2/3

Answers

Answer:

y=-2/3x+8

Step-by-step explanation:

first, find the y intercept, or b.

write your equation so far: y = -2/3x + b

Now substitute in your given point (6,4)

so now we got: 4 = -2/3(6) + b

which gives you: 4 = -4 + b

Now, we find b.

4 = -4 + b  

+4    +4      < isolating b...

8 = b

now put it back in..

y=-2/3x+b

hope this helped luv <3

Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap

Answers

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

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