Jasper is 43 years old and his daughter Freya is 7. In n-years Jasper will be four times as old as Freya is at that point. Set up and solve an equation for n. Then state both Jasper and Freya’s ages after n-years.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Jasper's age = 43 years

Freya's age = 7

In n years, jasper will be 4 times as old as Freya

Let jasper = j

Freya = f

After n years :

j + n = 4 * f

J + n = 4 ( f + n)

43 + n = 4(4 + n)

43 + n = 16 + 4n

43 - 16 = 4n - n

27 = 3n

n = 27/3

n = 9

Jasper's age after n years :

43 + 9 = 52

Freya's age after n years :

4 + 9 = 13


Related Questions

A taxi driver's flat rate of $3 plus an additional $0.05 per mile car will only take taxi home if cost is under $10 under otherwise he will take the bus Carlos 15 miles from home explain how to write and solve an inequality determining if Carl will take the taxi for a bus

Answers

Step-by-step explanation:

we can model the expression for the inequality as

given the flat rate is $3

let the additional mile be x

hence

3+0.05x<10

step two:

let us proceed to solve for x

3+0.05x<10

0.05x<10-3

0.05x<7

divide both sides by 0.05

x<7/0.05

x<140    

let us plug in 15 into the expression and see if the cost is under $10

3+0.05(15)<10

3+0.75<10

3.75<10

from the analysis, carl will have to take the taxi since cost is less than $10 i.e $3.75

Answer:

The inequality representing the situation is 0.5x + 3 < 10.

Use inverse operations and properties of inequality to solve.

Find that x < 14.

Carl lives 15 miles from home, so he will take a bus.

Step-by-step explanation:

2. What is another name for line m?

Answers

Answer:

slope

Step-by-step explanation:

y = mx + c

where m is the slope of the line

I need help with this thing

Answers

The unit for area is unit^2. You area for a rectangle is one of the easiest formula in math. A = LW
There’s a few ways to do this. But you essentially want to find the area for each rectangle and add them together.

We can do the two rectangles on the left, bedroom 1 and 3, by doing 3.5 x (4.25+3.75) = 31.5 in^2

Now do bedroom 2, we have to do 7.5 - 3.5 to get the width of the room since it wasn’t given directly. The width is 4 and we have the length of 3.5. Do 4 x 3.5 to get 14 in^2

31.5 + 14 = 45.5 in^2

We’re not done yet because they want it in ft^2 and we’re given 1 inch = 4 feet
Just do 45.5 x 4 to get 182 ft^2

The Mittle family's budget was $4,200 in November. If they spend 12% of their monthly budget on medical How much money did they spend on medical in November?

Answers

Answer:

$504

Step-by-step explanation:

do the 10% 1st (4,200/10)

then do 4,200/100*2 (which is 480)

and add, so

420

  84        +

--------

504

Can you solve this question please
-4+7x=3

Answers

Answer:

x=1

Step-by-step explanation:

-4+7x=3 add 4 to both sides

7x=7 divide 7 on both sides

x=1

-4+7x=3
+4 +4
7x=7
/7 /7
X=1

Which translation will change figure ABC to figure A′B′C′? (4 points) A coordinate plane is shown. Figure ABC is composed of coordinates A, negative 4 comma negative 1, B, negative 1 comma negative 1, C, and negative 2 comma negative 3. Figure A prime, B prime, and C prime is composed of coordinates A prime, 0 comma 2, B prime, 3 comma 2, C prime, 2 comma 0. a 3 units right and 3 units up b 4 units right and 3 units up c 4 units right and 4 units up d 4 units left and 3 units down

Answers

Answer:

4 units right and 3 units up.

Hope this help o(* ̄▽ ̄*)o

Answer:

4 units right and 3 units up.

got it right on my test, hope it helps

What is the relationship between the <5 and <8?

A. Complementary
B. Congruent
C. Supplementary

Answers

Answer:

C

Step-by-step explanation:

Can someone help me put this equation in standard form I give you brainliest !(and a explanation )

Answers

Answer:

eq of a line= (y-y1)=m(x-x1)

y-1=1/2(x-3)

2(y-1)=x-3

2y-2=x-3

x-2y-1=0

x-2y=1

Find the product of 5 x 7 and enter it in the space provided. Notice that a
multiplication problem can also be written as repeated addition,
Multiplication Sentence 5x 7 = ?
Repeated Addition 7+7+7+7+ 7 = ?

Answers

Answer:

35

Step-by-step explanation:

Find the length of the missing side.

Answers

25m+20m is 45
so do 90-45 and you’ll get 45
to check your answer you can do 45+25+20 which gives you 90

A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs ​$2.40 per​ gallon, and milk from dairy II costs ​$0.80 per gallon. At most ​$144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9​% ​butterfat, and dairy II can supply at most 90 gallons averaging 2.9​% butterfat. Answer parts a and b. a. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of​ butterfat? The company should buy 40 gallons from dairy I and 60 gallons from dairy II. What is the maximum amount of​ butterfat? 330 gallons ​(Type an integer or a​ decimal.) b. The solution from part a leaves both dairy I and dairy II with excess capacity. Calculate the amount of additional milk each dairy could produce. The excess capacity of dairy I is 10 ​gallons, and for dairy II it is 30 gallons. Is there any way all this capacity

Answers

Answer:

a) i The company should buy 40 gallons from dairy I and 60 gallons from dairy

ii) What is the maximum amount of​ butterfat? The total amount of butterfat from Diary I and Diary II = 3.12% + 1.93%

=5.05%

b.The excess capacity of dairy I is 10 ​gallons, and for dairy II it is 30 gallons.

Step-by-step explanation:

a. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of​ butterfat?

From the question, we are told that:

Milk from dairy I costs ​$2.40 per​ gallon, Milk from dairy II costs ​$0.80 per gallon.

Let's represent:

Number of gallons of Milk from dairy I = x

Number of gallons of Milk from dairy II = y

At most ​$144 is available for purchasing milk.

$2.40 × x + $0.80 × y = 144

2.40x + 0.80y = 144........ Equation 1

x + y = 100....... Equation 2

x = 100 - y

2.40(100 - y) + 0.80y = 144

240 - 2.4y + 0.80y = 144

-1.60y = 144 - 240

-1.6y = -96

y = -96/-1.6

y = 60

From Equation 2

x + y = 100....... Equation 2

x + 60 = 100

x = 100 - 60

x = 40

Therefore, since number of gallons of Milk from dairy I = x and number of gallons of Milk from dairy II = y

The company should buy 40 gallons from dairy I and 60 gallons from dairy

II. What is the maximum amount of​ butterfat?

From the question

Dairy I can supply at most 50 gallons averaging 3.9​% ​butterfat,

50 gallons = 3.9% butterfat

40 gallons =

Cross Multiply

= 40 × 3.9/50

= 3.12%

Dairy II can supply at most 90 gallons averaging 2.9​% butterfat.

90 gallons of milk = 2.9% butter fat

60 gallons of milk =

Cross Multiply

= 60 × 2.9%/90

=1.9333333333%

≈ 1.93%

The total amount of butterfat from Diary I and Diary II = 3.12% + 1.93%

=5.05%

b. The solution from part a leaves both dairy I and dairy II with excess capacity. Calculate the amount of additional milk each dairy could produce.

Excess capacity of Diary I =

50 gallons - 40 gallons = 10 gallons

Excess capacity of Diary II =

90 gallons - 60 gallons = 30 gallons

Therefore, the excess capacity of dairy I is 10 ​gallons, and for dairy II it is 30 gallons.

HELP PLEASE Literal Equations and Formulas

Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP!
(Snip it bellow)
Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neither a relation nor a function.
A.
function only
B.
both a relation and a function
C.
neither a relation nor a function
D.
relation only

Answers

Answer:

I think it is neither

Step-by-step explanation:

I am not sure but I know it isn't a function

Answer: D Because it does not pass the vertical line test

hope this helps :)

expand the brackets and collect like terms
5(3x-1)-3(5x-1)

Answers

Answer:

- 2

Step-by-step explanation:

Hi there !

5(3x - 1) - 3(5x - 1) =

= 15x - 5 - 15x + 3

= 15x - 15x + 3 - 5

= - 2

Good luck !

The expression 5(3x - 1) - 3(5x - 1) simplifies to -8 after using distributive property and adding like terms.

To expand the brackets and collect like terms in the expression 5(3x - 1) - 3(5x - 1).

Distribute the numbers outside the brackets to the terms inside the brackets:

5(3x - 1) - 3(5x - 1)

= 5×3x - 5 × 1 - 3 × 5x - 3 × 1

Perform the multiplication:

15x - 5 - 15x - 3

Collect like terms (combine the x terms and the constants):

=(15x - 15x) + (-5 - 3)

=0x - 8

Simplify:

-8

So, the expression 5(3x - 1) - 3(5x - 1) simplifies to -8.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

Algebra 2 please Answer, Brianliest given...

Answers

Answer:

B

Step-by-step explanation:

Got it right.

what is 12 divided by 1 1/5

Answers

The answer is 1.0434

Answer:

nsiwkiwknwiiwniiwneikene8ke

Step-by-step explanation:

quejumbrosos ebeuk392

I need the area of this shape please explain.

Answers

Answer:

130'²

Step-by-step explanation:

step 1) work out area of whole trapezium:

((a+b) x h) / 2

a and b are the two parallel sides

h is the perpendicular height (8)

a = 4+4+3 = 11

b = 23

a + b = 11 + 23 = 34

(a + b) x h = 34 x 8 = 272

272 / 2 = 136²

step 2) work out the area of rectangle

2 x 3 = 6²

step 3) take area of rectangle away from area of whole trapezium

136 - 6 = 130

130' ²

316 meters in 28 seconds

Answers

Answer:

What is your question? how many meters in 1 second?

Well is that was your question, it would be 11.3 meters rounded.

But if your question was how many meters in 1 minute, the answer would be 678 meters because 11.3 meters in one second times 60 seconds is 678

Step-by-step explanation:

Hope this helps, can you please mark me brainliest? I just need 4 more brainliest to become expert

Divide and Simplify:
16 2/3 divided by 1/6

Answers

Answer: 16 2/3 divided by 1/6= 100

i hope this helps! pls give brainliest if possible

Ashley paid $14.46 for a pack of 10 pairs of sport socks. What was the price of a pair of sport socks?

Answers

144.6
$14.46x10=
144.6

35 + 70 = 35(1 + 2)
O Yes
O No

Answers

Answer:

Yes

Step-by-step explanation:

Because 35 * 1 is 35 and 35 * 2 is 70

Answer:

Yes

Step-by-step explanation:

35 + 70 = 105

35(3) = 105

Match each number with the amount that represents 10 percent of that number.
4.3
43
430
4.3
43
OOO
0.43
4300
430



PLSSS HELPP

Answers

Answer:

4.3 - 0.43

430 - 43

4300 - 430

43 - 4.3

Step-by-step explanation: Hope this helps

Answer:

4.3 - 0.43

430 - 43

4300 - 430

43 - 4.3

Step-by-step explanation:

took the test lol

White shapes and black shapes are used in a game some are circles some are squares the ratio of white shapes to black shapes is5:11 the ratio of white circles to white squares are 3:7 the ratio of black circles to black squares are 3:8 work out what fraction of all the shapes are circles

Answers

Answer:

[tex]\frac{9}{32}[/tex]

Step-by-step explanation:

Given:

Ratio of white shapes to black shapes is 5:11

Ratio of white circles to white squares is 3:7

Ratio of black circles to black squares is 3:8

To find: fraction of all the shapes that are circles

Solution:

As ratio of white shapes to black shapes is 5:11,

let number of white shapes be 5 k and number of black shapes by 11 k

As  ratio of white circles to white squares is 3:7,

Number of white circles = [tex]\frac{3}{10}(5k)=\frac{3}{2}k[/tex]

Number of white squares = [tex]\frac{7}{10}(5k)=\frac{7}{2}k[/tex]

As ratio of black circles to black squares is 3:8,

Number of black circles = [tex]\frac{3}{11} (11k)=3k[/tex]

Number of black squares = [tex]\frac{8}{11}(11k)=8k[/tex]

Total number of circles = [tex]\frac{3}{2}k+3k=\frac{9}{2} k[/tex]

Total number of shapes = [tex]5k+11k=16k[/tex]

Therefore,

Fraction of circles [tex]=\frac{\frac{9}{2} k}{16k} =\frac{9}{32}[/tex]

Math: 1 A store increases the purchase price of an item by 25%. What is the face value of the item if he makes a profit of Rs 2,700 by selling the item with 15% discount?​

Answers

Answer:

Overall percentage is 125% than you can - 15% which = 110%

10 % = 2700 as this is the profit. 2700 x 10 = 100% = Rs 270,000

Brent ran 12 miles
last month. Connor ran
3 miles less than Brent.
Corinne ran twice as many
as both Brent and Connor.
How many miles did
Corinne run?

Answers

Answer:

she ran 42

Step-by-step explanation:

so 12×2=24

3-12=9

9+9=18

18+24=42

The answer should be 42

Please solve the word problem.

Answers

Answer:

Olga

Step-by-step explanation:

To calculate average speed we can compare their hourly rate

Trisha ran 10km in 2.5 hours which is equal to 4km in an hour

Jason ran 7.5km in 2 hours which is equal to 3.75km an hour

Olga ran 9.5km in 2.25 hours which is equal to 4.2 an hour approximately

Read the definition given below and choose which of the following number classes best matches the definition.

All numbers that can be expressed as a over b where a and b are integers and b does not equal 0
A.
rational numbers
B.
irrational numbers
C.
whole numbers
D.
integers

Answers

Answer:

A.Rational numbers

is the right answer

Raymond bought a used truck for $18,800. If the sales tax in his state is 7 percent, what was the final price for his car?
$1,316
$1,504
$20,116
$20,492

Answers

Answer:

$20,116

Step-by-step explanation:

Sales tax is added to the cost of the product.

18,800 x 1.07 = 20,116

Answer: $20,116

Step-by-step explanaition:

f (x) = -2x + 1, find f (1/2)

Answers

the answer is 0
-2(1/2)+1 =0

Answer:

[tex]f(1/2)=0[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=-2x+1[/tex]

And we want to find f(1/2).

So, substitute 1/2 for x:

[tex]f(1/2)=-2(\frac{1}{2})+1[/tex]

Evaluate. Multiply:

[tex]f(1/2)=-1+1[/tex]

Add:

[tex]f(1/2)=0[/tex]

So, our answer is:

[tex]f(1/2)=0[/tex]

And we're done!

5(x-6)+3x=3/4(2x-8) simplify

Answers

Answer:

13x = 48 is the most simplified

13x =48 I think it’s the answer
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