Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?

Answers

Answer 1

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years


Related Questions

simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

Thomas observed that his friend blinked an average of three times every 15 seconds.
How many times should his friend blink in 65 second?

Answers

Answer:

13 blinks

Step-by-step explanation:

Step one:

given

number of blinks= 3

time taken to blink=15 seconds

the rate of blink is given as

rate= number of blinks/time taken

rate= 3/15

rate= 1/5 blinks per second, 0.2 blinks per second

Step two:

hence for a 65 second period, the number of blinks is

rate=number of blink/time

0.2=number of blink/9=65

cross multiply we have

number of blink=0.2*65

number of blink=13 blinks

Renee used the values in the table to calculate simple interest.

Principal $750
Interest rate ?
Time 11 years
Interest $412.50

Which interest rate is missing from Renee’s table?

0.05%

0.5%

5%

50%

Answers

Answer:

5% hope its correct

Step-by-step explanation:

The rate of Interest is 55.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Principal= $750

Time = 11 years

Interest= $412.50

Using Simple Interest

SI= (PRT)/100

412.5 = (750 x R x 11) 100

41250 = 8250R

R= 5%

Hence, the rate of Interest is 55.

Learn more about Simple Interest here:

https://brainly.com/question/22621039

#SPJ2

have u ever seen 2 pretty besfrens??

Answers

Nope I have not!!!!!!!!!!!!!!!

yea once

they ain't friends no more

bc I stole one

and now there ain't 2 pretty best frens no more

You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.

Answers

Answer: $4,000

Step-by-step explanation:

If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.

Hope this answer helps! :)

2x+3y = 17
2y + z = 1
5x +10z = 25

Find x

Answers

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

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

⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️

THIS IS MY LAST ONE HELP

Answers

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

what is the answer to (-3)×(-5)

Answers

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

Will give brainliest if correct.

Answers

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

Will mark brainliest

Answers

2.21 is the answer :-/


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum

this means that you are adding something, so you're going to use the
+
sign;

of a number

this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10

this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

Find two integers whose sum is 19 and product is 90​

Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

Learn more about integers:

https://brainly.com/question/15276410

#SPJ2

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answers

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms:                 2x + 12 = 7x - 43Subtract 2x on both sides:      12 = 5x - 43Add 43 on both sides:             55 = 5xDivide 5 on both sides:            11 = xRewrite:                                     x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract:                              55 + 9 - 3(10) = 20 + 14Multiply:                               55 + 9 - 30 = 20 + 14Add:                                     64 - 30 = 34Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

Answers

39.95+.10x=y
X being the text messages and y the amount paid

What is the surface area of the pyramid

Answers

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

16. Write the following in standard form
36505000
pls need ans. fast ​

Answers

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

Hey again.. Please answer!!

Answers

Answer:

I can't see the question

its too small can you type it out?

Step-by-step explanation:

Answer:

32 cups and 24 cups

Step-by-step explanation:

4x + 3x = 56

7x = 56

x = 8

4(8) = 32 cups of pretzels

3(8) = 24 cups of candy corn

7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g

Answers

Answer:

Option B

Step-by-step explanation:

Subscribe to RANDOM TOPICS TRENDING on youtub. Thank you.

please help i will give brainliest

Answers

Answer:

n<-0.6

Step-by-step explanation:

7.2>0.9(n+8.6)

8>n+8.6

-0.6>n

n<-0.6

So there would be an open circle at the point -0.6 (because the "less than" sign shows that -0.6 is not included), and then an arrow pointing left to show solutions that are less than -0.6

I will assume you know what buttons to press.

Answer:

Step-by-step explanation:

7.2>0.9(n+8.6)

n< -0.6

(-∞,-0.6)

open circle on -0.6 and go to the left

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Tony hit 9 out of 15 pitches at baseball practice yesterday. The following day at practice 45 pitches were made. How many pitches did Tony miss?

Answers

Answer:

18 pitches.

Step-by-step explanation:

I'm assuming the "9 out of 15" is the fraction of pitches Tony hit at baseball practice.

Hence, Tony missed 6 out of 15 pitches.

6/15 * 45

= 6 * 3

= 18 pitches.

Hope this helped!

Answer:

18

Step-by-step explanation:

You have to start with how many he hit.

Let the number of pitches he hit = x

9/15 = x / 45            Cross multiply

15x = 9 * 45             Combine the right side

15x = 405                Divide by 15

x = 405/15

x = 27

===================

The number he missed is 45 - 27 = 18

1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information

Answers

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

This equation has one solution.
3(x-2) + 4x = 10(x + 1)
What is the solution?
O-5
O-2
-16
3
-16
7
Intro

Answers

This is what I got hope it helps
Other Questions
Can you answer these two questions right please and thank you I will write any essay for 40 - 50 points or for Brainliest The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.girls 3 partsboys 2 parts Why can a planet orbit circular? 10 pointsIn_____voice, the subject actively performs the action on an object.A. controlledB. directC. passiveD. active identifying similarities and differences in how a health care provider would care for a 4 yr old verus a 15 yr old adolscent Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes 3 3k + 7k = 5b find the equation for k which is the smallest particle containing the same characteristics for a compound? Find the values of a and b such that x - 2x + 2 = ( x - a ) + b 8(-4a + 8b) = 240please (PLEASEEE HELP) Which graph of which line represents aproportional relationship?Graph AGraph BGraph CGraph DLook carefully at the graph of multiple graphs shown below. Which of the graphsrepresents or shows a proportional relationship? State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible. What is the equation of the linear function?= -x + 6Ay = -2x + 3y=-3x +3y = ;& + 3Done Melissa my pet cow from childhood that i could ride like a horse had a weight of 0.65 tons. Philip my pet rabbit had a weight of 192 ounces. How many philips would it take to weigh as much as one melissa What is the fractional division problem modeled below? CRITICAL VOCABULARYredistributerobustlypredominantlyrelevantexpansivecollaborate1. The topic is too ____________to research, so I'm narrowing it down.2. If we _____________on the project we can all share the work.3. Let's____________the chores to divide the tasks more fairly.4. At home, they__________speak their native language, Spanish5. Evidence that is___________clearly connects to a claim.6. The vegetables grew__________ so we had a big harvest While many Russian soldiers were on the front during World War I, most of those who remained behind responded to the February Revolution by leaving the cities to fight on the front. firing into crowds of peaceful protestors. joining the riots instead of stopping them. breaking up the riots and restoring order. Can someone help me with 5-6 Solve for x.9(x + 1) = 25 + xO x= 2O x = 30 x = 4O x = 5