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 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

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]

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:

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 :)

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

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 .

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

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

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]

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

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:

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

What is the amount of discount?

Answers

Answer:

$3.75

Step-by-step explanation:

give brainliest please

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


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

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

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

Answers

Answer:

25/12 or 2 1/12

Step-by-step explanation:

calculator

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

(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:

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

solve the equation
pls help

Answers

X= root square of y-49

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.  

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

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

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]

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!

Guys please help I'm being timed

Answers

Answer:

C

Step-by-step explanation:

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

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

Other Questions
Promet: How and why do animas communicate with each other 6Samir goes to a farmers market to buy some fruit.He fills a large bag with 29kg of apples.He realises that he cannot carry this weight, so puts some of the apples into a smaller bag.The weight of the apples in the large bag is 15kg larger than the smaller bag.(a) What is the weight of the smaller bag? Will give brainleist to first answer!!Tell me one way that your 4th amendment rights are different in school than out in the real world. imagine,you spent a day as an unemployed person. write a short account of what you did,how people treated you. (180 words) The electronegativity values of carbon, hydrogen, and nitrogen are compared in the table.Comparison ofElectronegativityElement ElectronegativityCarbon2.5Hydrogen 2.1Nitrogen 3.0Which of the following statements is true about the strength of the intermolecular forces in CH4 and NH3? (4 points) A seed is planted 2 inches below the ground.The plant grows 6 inches from the seed.How tall is the plant above the ground? 1. How does a modern day interpretation of Britains response to the Declarationcompare to a contemporary (of the time period) account? (Use text evidence)2. What is King Georges mood? Why do you think he feels that way? Which of the following statements best describes the behavior of DNA during electrophoresis?Longer DNA fragments migrate farther than shorter fragmentsMigration distance is inversely proportional to the fragment size,Uncut DNA migrates farther than DNA cut with restriction enzymesO Positively charged DNA migrates more rapidly than negatively charged DNA. The three regions of Latin America are:A.)Middle, Central, Southern and WesternB.)Eastern, Western, and CaribbeanC.)Mexico and CentralD.)Middle America, Caribbean, and South Whats the basic climate in Hamilton? what are 2 non-examples of electrical energy?please help ASAP what is the difference between objective and subjective guilt? Which quotation is an example of the author using a first-person point of view in "It's My Constitutional Righti"?O Claudette and her classmates got out of school early that Wednesday because of a faculty meeting.""I knew I was talking back to a white policeman, but I had had enough."O "Mrs Hamilton was totally unaware of the standoff between Claudette and the driver""Mrs Hamiton replied that she didn't feel like getting up." Give two examples of compounds exhibiting double covalent bonds between atoms of its constituent molecules and explain why they form a double covalent bond. 2.4 *10^25.25*10^22.53*10^11.8*10^3Order from least to greatest What are the similarities between European and Japanese feudalism? Select all that apply.A graph shows _____ in picture form.variablesfactscolorstatisticssumsdata 4.What is the meaning of the prefix ad-?together withbeforeto or towardover or above Match the following terms and definitions.1. cross-breeding; a method that unionizes gametes of differing genes to create a new individual recombinant DNA 2. cultured DNA molecules from different biological sources hybridization 3. a process of breeding organisms because of their specific traits selective breeding kadalasan Ang taong nagiging environmentalist o magsasaka at may talingong ?