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

It costs $15 to enter the fair, then each booth costs $0.75 each. You have $24. Write an equation to show how many booths you, x, you could visit.

Answers

Answer:

[tex](x * 0.75) + 15 = $24[/tex]

Step-by-step explanation:

please mark brainliest

I need help
what is 2+4+1
im desperate

Answers

*Quack* 7 hope this helps fellow duck!

Answer:

7

Step-by-step explanation:

2+4+1 = 6+1 = 7

have a great day!

A balalaika is a Russian stringed instrument. Show that the triangular parts of the two balalaikas are congruent for x = 6.

Answers

*the diagram of the Russian stringed instrument is attached below.

Answer/Step-by-step explanation:

To show that the traingular parts of the two balalaikas instruments are congruent, substitute x = 6, to find the missing measurements that is given in both ∆s.

Parts of the first ∆:

WY = (2x - 2) in = 2(6) - 2 = 12 - 2 = 10 in

m<Y = 9x = 9(6) = 54°.

XY = 12 in

Parts of the second ∆:

m<F = 72°

HG = (x + 6) in = 6 + 6 = 12 in

HF = 10 in

m<G = 54°

m<H = 180 - (72° + 54°)

m<H = 180 - 126

m<H = 54°

From the information we have, let's match the parts that are congruent to each other in both ∆s:

WY ≅ FH (both are 10 in)

XY ≅ GH (both are 12 in)

<Y ≅ <G (both are 54°)

Thus, since two sides (WY and XY) and an included angle (<Y) of ∆WXY is congruent to two corresponding sides (FH and GH) and an included angle (<G) in ∆FGH, therefore, ∆WXY ≅ ∆FGH by the Side-Angle-Side (SAS) Congruence Theorem.

This is enough proof to show that the triangular parts of the two balalaikas are congruent for x = 6.

Paris and Jen are sisters that are away at different colleges. After a 5-hour drive, Paris is 324 miles from home, and after 7 hours she's 200 miles from home.

Jen's trip home can be represented by the equation y=−58x+422.

Which statements are true?

Select all that apply.


1. Paris's school is farther from home than Jen's school.
2.Jen's school is farther from home than Paris's school.
3.It will take Paris longer to get home, even though she's driving faster.
4.Paris is driving slower than Jen.
5.Jen is driving slower than Paris.

Answers

Answer:

2.Jen's school is farther from home than Paris's school.

Step-by-step explanation:

hyy there ! it may be but not that sure .

2. Jen’s school is farther from home than Paris’s school.

Marcos instaló un antivirus en su teléfono que se actualiza cada 4 días, otro en su Tablet que se actualiza cada 6 días y otro en su computadora que se actualiza cada 10 días. Si lo instaló todos al mismo tiempo, ¿Cada cuántos días se actualizan simultáneamente los tres antivirus?

Answers

Answer:

Respuestxplicación paso a paso: mcm (4-6-10)=en total es 60 dias

Allan has to make a delivery that is 1200 miles away. by law, he can only drive his truck for 20 hours without taking a break. What must allan's average speed be if he wants to make the delivery before he has to take a break?

Answers

Answer:

Step-by-step explanation:

60 average speed

The delivery must be completed by Allan before he needs to stop, thus his average pace must be at least 60 mph.

What is the average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

If Allan has to make a delivery that is 1200 miles away and can only drive for 20 hours without taking a break,

we need to find his average speed to see if he can make the delivery before the 20-hour mark.

We can use the formula:

average speed = total distance / total time

We know the total distance is 1200 miles.

To find the total time, we need to know Allan's maximum driving time before taking a break. Let's assume that Allan will take a break after driving for 20 hours.

So, Allan's total time available to make the delivery is 20 hours.

Therefore,

average speed = total distance / total time

average speed = 1200 miles / 20 hours

average speed = 60 miles per hour

Allan's average speed must be at least 60 miles per hour to make the delivery before he has to take a break.

Learn more about the average rate of change here:

https://brainly.com/question/28744270

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The measures of the Angles of a triangle are shown in the figure below

Answers

Answer:

x = 22°

Step-by-step explanation:

The angles of a triangle add to 180°, so:

69 + (3x - 4) + (3x - 17) = 180

(3x - 4) + (3x - 17) = 111

6x - 21 = 111

6x = 132

x = 22

Answer:

22

Step-by-step explanation:

(3x - 4)° + (3x - 17)° + 69° = 180°

6x - 21 + 69 = 180

6x + 48 = 180 ⇒ x = 22

Find the slope of the line that contains (1, 6) and (10.-9).

Answers

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

Help me ASAP please!

Answers

Answer:

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

What is the surface area of the pyramid

Answers

Answer:

9in squared

Step-by-step explanation:

Does it represent or does it not represent

Answers

it represents a polynomial

What type of solution is "one solution, no solution, infinite solution"?Explain.​

Answers

a=14 one solution

47=94 no solution

12=12 inifinate many solution's

Please with exponent problem I will mark brainlyest

Answers

Answer:

whats an exponent

Step-by-step explanation:

(3p - 7) + 3(5p - 6) =

Answers

Answer:

18p - 25

Step-by-step explanation:

do you need the steps to solve this?

A 20 inch long piece of rope is approximately 0.5 meters long. What is the length, in inches, of a rope that is 2.5 meters long, rounded to the nearest tenth?

Answers

Answer:

100 inches (using the given data)

98.43 (using exact numbers)

Step-by-step explanation:

1 inch = 2.54 centimeters

20 inches = 50.8 centimeters, but for the purpose of answering this question we will assume that 20 inches = 0.5 meters (instead of 0.58).

we must solve the following equation:

20 inches / 0.5 meters = X inches / 2.5 meters

(2.5  meters x 20 inches) / 0.5 meters = X inches

20 inches x 5 = X inches

100 inches = X inches

if we do the exact calculation, 2.5 meters in inches = 250 centimeters / 2.54 centimeters per inch = 98.43 inches

there is a 30% sale today. what would the shoes that normally cost $125 now cost?

Answers

Answer:

$37.50

Step-by-step explanation:

$125 times30%=$37.50

Can you please tell me which one it is?? its okay if not

Answers

Answer:

estimate

Step-by-step explanation:

BRAINLIEST PLSSSSSSS PSLPSLSSLSSS

Answer:

estimate

Step-by-step explanation:

because when we estimate it will give us a value close to the exact value.

Graph the line.please help

Answers

Here ya gooooo :))))))

To ride a roller coaster, a visitor must not be less than 50 inches tall.
Use h to represent the height (in inches) of a visitor able to ride.

Answers

This information is telling us that a visitor must be equal to or taller than 50in.

We can represent this with an inequality symbol.

We will use H to represent the height of the visitor.

H ≥ 50

All this means is that height of visitors must be equal to or more than 50.

If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
12
11
2

Answers

2x+1=5
2x=4
x=2
Answer is 2

Answer:

x = 2 .

Step-by-step explanation:

Given  : If h(x) = 5 for the function h(x) = 2x + 1, .

To find : what is the value of x?  

Solution : We have given

h(x) = 5 for the function h(x) = 2x + 1,

Now plug the h(x) = 5.

2x + 1 = 5 .

On subtracting both sides by 1

2x  = 5 -1 .

2x = 4

On dividing both sides by 2 .

x = 2 .

Therefore, x = 2 .

Plz mark brainliest

PLEASE HELP !!! It’s not math

Answers

Answer:

euphemism

1. c

2. a

3. b

dysphemism

1. c

2. a

3. b

Step-by-step explanation:

Answer:

euphemism

1.c

2.a

3.b

dysphemism

1.c

2.a

3.b

Step-by-step explanation:

X х
6
16
+
=
x - 4
x - 3
x2 – 7x + 12

Answers

Answer:

what is this? show it correctly

Plz plz plz plz plz

Answers

The third one.


Simply divide one by 40, and add a negative sign.

what is 5% of 69.9 plz help me out like if your grade was a 69.9 what will 5% bring down the 69.9 to

Answers

Answer: 69.9 - 5 = 64.9

Step-by-step explanation:

Have an awesome day :D

Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Which circle has the larger circumference? About how many centimeters larger is it?

Answers

Answer:

ummm it gave me 31.42

Step-by-step explanation:

hope this helpss

How do I solve? How do I solve? How do I solve?

Answers

Answer: yes

Step-by-step explanation:

Answer:

Yes, he has enough money to get his things.

Step-by-step explanation:

3 (the amount of grass seed bags he's buying)  x 23 (how many dollars it costs) = 69

3 (the amount of flower pots he's buying) x 15 (how many dollars it costs) = 45

69 + 45 = 114

He will have $6 left over his purchases.

Let x be the number of bratwursts and y the number of hamburgers. Which system of inequalities represents this situation?

Answers

third one. at least three x or y for each of 20 guests, meaning x+y>=20•3=60
budget is 75, bratwurst cost 1.2 and hamburger cost 0.95, meaning 1.2x+0.95y=<75

what is the simplified form of the fraction 7/28

Answers

Answer:

1/4

Step-by-step explanation:

7 divided by 24 = 4 so it gets reduced to 1 and then 1/4

The solution is: 1/4  is the simplified form of the fraction 7/28.

Here, we have,

given that,

the fraction is: 7/28

now, we divide each fraction numerator and denominator by a common divisor of them,

here, we know that,

7 * 1 = 7

7*4 = 28

so, the gcf of 7 and 28 = 7

we divide each fraction numerator and denominator by a common divisor 7,

we will get:

7/28 = 1/4

7 divided by 28 = 4 so it gets reduced to 1 and then 1/4.

Hence, The solution is: 1/4  is the simplified form of the fraction 7/28.

To learn more on fraction click:

brainly.com/question/10354322

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Write an expression for the sequence of operations described below. add b to a, then multiply 9 by the result Do not simplify any part of the expression.

Answers

Answer:

9a+9b

Step-by-step explanation:

Add b to a and multiply 9 by the result without simplifying any part of the expression.

Not simplifying an expression in algebra means not organizing or grouping like terms in the algebraic expression in such a way as to make it more understandable. It is not required in this case. Hence,

We add b to a

=a+b

We multiply 9 by the result

=9 * a+b

=9(a+b)

= 9a+9b

90:120 ratio in the simplest form,

Answers

Step-by-step explanation:

90:120

9:12

3:4

Topic: ratio n proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Step-by-step explanation:

90 : 120

3: 4 is the simplest form

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