Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.

Answers

Answer 1

Answer:

Joe's present age = 36 years

Vika's present age = 20 years

Step-by-step explanation:

Let us represent the present age of

Joe = x

Vika = y

Joe's age exceeds by Vika's age by 16 years.

x = y + 16...... Equation 1

Four years ago, Joe was twice as old as Vika.

x - 4 = 2(y - 4)

x - 4 = 2y - 8........ Equation 2

We substitute y + 16 for x

y + 16 - 4 = 2y - 8

Collect like terms

16 - 4 + 8 = 2y - y

y = 20 years

We solve for x

x = y + 16...... Equation 1

x = 20 + 16

x = 36 years

Therefore, Joe's present age = 36 years

Vika's present age = 20 years


Related Questions

Please help. TYSM <3
The ratio of two numbers is 4 to 7. The sum of the numbers is 253. Find the
two numbers.

Answers

Answer:

28 and 49 are the two numbers whose sum is 77.

Step-by-step explanation:

[Inequalities]
Please help and thanks. 1
write the inequality pls.

Answers

Answer:

1. x≥-2

2. x<-2

Step-by-step explanation:

Answer:

1. n≥=-2

2. n<=-2

Step-by-step explanation:

hope this helps!! <33

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

The third side would be 9.79 rounded to the nearest tenth equals 9.8

Answer=9.8

Answer:

9.8

Step-by-step explanation:

To solve, use the Pythagorean Theorem: a² + b² = c² or c² - b² = a².

"a" and "b" are both legs of the right triangle. "c" is the hypotenuse. In this case, we need to use this formula: 14² - 10² = a² or 196 - 100 = a². This simplifies to 96 = a². This can simplify further to 9.79795897 = a. Round this to the nearest tenth: 9.8 = a.

Hope it helps!

2) What is the value of x? *
15.5
25.5
31
47

Answers

Step-by-step explanation:

2∠BDA = ∠BCA

2 (3x - 15)° = (2x + 32)°

6x - 30 = 2x + 32

6x - 2x = 32 + 30

4x = 62

x = 62/4

x = 15.5

#CMIIW

how do I find the ratio​

Answers

Answer:

Ratios are like fractions. It is one part divided by the total amount of parts.

Step-by-step explanation:

for example there are 2 boys and 5 girls

so the ratio of boys to girls is 2:5

HELP PLEASE!!! Picture below!

Length of Segments Practice
the the darom below to annwer questions

Answers

Answer:

7 (units)

Step-by-step explanation:

If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.

Blueberries are $5.99 a pound Diego buys pounds of blueberries and pays 16.95 write an equation to represent the problem

Answers

Answer:

Step-by-step explanation:5.99x-16.95=

A triangle has sides with lengths of 7 millimeters, 14 millimeters, and 15 millimeters. Is it a right triangle

Answers

Answer:

Step-by-step explanation:

Property of a right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

If the length of sides of the given triangle are 7mm, 14mm and 15mm.

(15)² = (7)² + (14)²

225 = 49 + 196

225 = 245

False

Therefore, the given triangle is not a right triangle.

Multiply (9x + 2) (2x - 3). What is the product?

Answers

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

Learn with an example
Select the expressions that are equivalent to 8(f + 3).
24f + 8
8f + 24
8(3 + 1)
(3 + 1/8

Answers

Answer: 8f + 24

Explanation: You distribute the outside number to everything in the parentheses

A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit

Answers

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

[tex]y =x + \frac{1}{2}[/tex]

Required

Determine the y intercept --- Missing

At y intercept: [tex]x = 0[/tex]

So:

[tex]y =x + \frac{1}{2}[/tex]

Substitute [tex]x = 0[/tex]

[tex]y = 0 + \frac{1}{2}[/tex]

[tex]y = \frac{1}{2}[/tex]

The y intercept is 1/2

I rectangular prism with a square base has a high of 7 inches the base of the prism can be completely covered with no overlap by 16 squares that each have a edge length of 1 inch what is the total surface area of the rectangular prism

Answers

Answer:

144 square inches

Step-by-step explanation:

Total surface area of the rectangular prism =  Sum of all the area of its sides

Since it has a square base which can be covered by 16 squares of length 1 inch each, then;

length of its base = 4 inches

So that,

i. Area of its base = [tex]length^{2}[/tex]

                          = [tex]4^{2}[/tex]

area of its base = 16 square inches

ii. Area of one of the surfaces of its sides = length x width (or base x height)

                                       = 4 x 7

                                       = 28 square inches

Sum of the area of its vertical sides = 4 x 28

                                        = 112 square inches

Thus,

Total surface area of the prism = 16 + 16 + 112

                                          = 144 square inches

A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each Find the equation of the form P(n)=mn+b that gives the price P they can charge for n thousand shirts.

Answers

Answer:

[tex]P(n)=-2n+75[/tex]

Step-by-step explanation:

Let n represent the number of shirts in thousands and P represent the charge per shirt. n is the independent variable and P is the dependent variable.

Since 3000 shirts sell for $69 each, this can be represented as (3, 69). Also 7000 shirts sell for $61 each, this can be represented as (7, 61).

The equation showing the relationship is gotten using:

[tex]P-P_1=\frac{P_2-P_1}{n_2-n_1}(n-n_1) \\\\P-69=\frac{61-69}{7-3} (n-3)\\\\P=-2(n-3)+69\\\\P=-2n+75\\\\P(n)=-2n+75[/tex]

Write the series using summation notation.

9+29+129+...

Answers

the answer is 71 because you had to subtract them to get to the summation

Which expression is equivalent to
(x - 5y + 127
es =))
+
5
12
y - 10
ת|ס
+
5
-y + 12
12
5
+
12V - 10
D)
5
--X-
6
5
12
-y-10

Answers

Answer:

7isisissisisisisusjsjsjsjsjja

Step-by-step explanation:

kakqkqkqkakakskjdjdkeoesnzjzjkzjzjkssjsj

Which Value of X is not a solution to 3x-1<5 OR
7-x ≤3?

A. 0
B. 2
C. 4
D. 5

Answers

I think is letter A.

HELP ASAP PLZ PLZ PLZ I GIVE BRAINLIEST

Answers

Answer:

12

Step-by-step explanation:

We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

[tex]A=\frac{h(b_1+b_2)}{2}[/tex]

Using this, we can substitute, and get:

[tex]A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12[/tex]

Hope it helps!!

the learner's sell 340 vetkoek for 15 weeks .They charge R12.00 for each vetkoek .Calculate the profit they will make if the cost for each vetkoek is R4.00 and the cost of all ingredients is R623.48 per week ​

Answers

Step-by-step explanation:

Price Paid for vetkoeks

R4.00 × 340

= R1 360.00

Price paid for Ingrediants

R623.48 × 15

= R9 352.20

Total amount paid for the Vetkoeks

R9 352.20 + R1 360

= R10 712.20

Amount they made from the vetkoeks

R12.00 × 340

= R4 080

Profit

R4 080 - R10 712.20

= -R6 632.20

The learners are making a R6 632.20 Loss

Anna, Stephanie, and James all start running around a track at 8:00. Anna completes a lap every 4 minutes, Stephanie finishes a lap every 7 minutes, and James finishes a lap every 6 minutes. What is the earliest time when all three meet back at the beginning?

Answers

Answer:9:24

Step-by-step explanation:

We know that they will meet some time $T$ after 8:00 and that $T$ must be a multiple of 4, 7, and 6. So our job is to find the smallest multiple of those three numbers. Since 4 and 7 share no factors, the first number that is a multiple of both will be $4\cdot7=28$. Next, we must find the smallest multiple of 28 and 6. We can do this in two ways: by listing multiples of 28 until we find one that is a multiple of 6 or by finding what factors of 6 that 28 is missing and multiplying by those factors.

Method 1: The multiples of 28 go 28 (not divisible by 6), 56 (not divisible by 6), 84 (which is divisible by 6!)... So the smallest multiple of 4, 7, and 6 is 84.

Method 2: The factors of 6 are 1,2,3, and 6, so we can write 6 as $2\cdot3$. 28 is divisible by 2 but not by 3, so we must multiply it by 3. We find $28\cdot3=84$ and 84 is therefore the smallest multiple of 4, 7, and 6.

Now we just need to find the time that is 84 minutes after 8:00. Since 9:00 is 60 minutes after 8:00, we just need 24 more minutes after that (since $60+24=84$). The final time is therefore $\boxed{9:24}.$

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

Anna, Stephanie, and James all start running around a track at [tex]8:00[/tex]. Anna completes a lap every [tex]4[/tex] minutes, Stephanie finishes a lap every [tex]7[/tex] minutes, and James finishes a lap every [tex]6[/tex] minutes.

So, the smallest multiple of [tex]4, 7[/tex] and [tex]6[/tex] is [tex]84[/tex].

Now we just need to find out the time is [tex]84[/tex] minutes so after [tex]8:00[/tex], it would be [tex]9:00[/tex] is [tex]60[/tex] minutes then after [tex]8:00[/tex], we need to move [tex]24[/tex] minutes more after that. The final time is [tex]9:24[/tex].

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

To know more about the division

https://brainly.com/question/1575906

#SPJ5

2.
Write a function rule for the table.


A. c = 18d + 11

B. c = 18d + 18

C. c = 11d + 18

D. c = 18d

Answers

Answer:

A. c = 18d + 11

Step-by-step explanation:

From the given table, we have two points : (1,29) and (2,47).

Now let us use slope formula to find the slope :

slope =18

Now we use point slope form to get the final equation.

Using point (1,29) and slope 18,

So final equation becomes c=18d +11

The answer is the Third solution.

example:

C = (18 × 2) + 11

C = 36 + 11

C = 47

RECT is a rectangle. Find x.

Answers

Where’s the problem ?

(8.64 × 10^6) × (1.334 × 10^10)

Answers

Answer:

8.64x1.334x10^16

11.52576x10^16

Fred is making a wooden box in the shape of a right rectangular prism. The dimensions of the box are 12 inches by 4 1/4 inches by 4 1/4 inches. What is the volume of the wooden box?

Answers

Answer:

867/4 in3

Step-by-step explanation:

v= l*w*h= 12* 17/4* 17/4

= 51*17/4 = 867/4 in3

if my answer helps please mark as brainliest.

Answer:

[tex]V=216\frac{3}{4} in^{3}[/tex]

Step-by-step explanation:

The formula for volume of a rectangular prism is V = w × h × l, where

V represents the volume

w represents width

h represents height

l represents length

So, all we have to do to find volume is multiply these three values together, like this:

V = 12 × [tex]4\frac{1}{4}[/tex] × [tex]4\frac{1}{4}[/tex]

[tex]V=(12)(\frac{17}{4} )(\frac{17}{4} )[/tex]

Then we multiply all the numerators:

[tex]V =\frac{867}{4}[/tex]

[tex]V=216\frac{3}{4} in^{3}[/tex]

WILL MARK!!

Select the correct answer.
Which function does this graph represent?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Find the value of x????

Answers

Step-by-step explanation:

m∠1 + m∠2 = 180°

(4x - 20) + (x - 15) = 180°

4x + x - 20 - 15 = 180°

5x - 35 = 180°

5x = 180° + 35°

5x = 215°

x = 215/5

x = 43°

#CMIIW

Solve one of the above questions to be marked as Brainliest
Plz nb 1, 2,3,4 especially

Answers

Answer:

Here's what I think I know:

1) the Voltage and the Resistance

2) Watts = Amps x Volts

so: 6 watts = A x 12, A = 0.5

Volts = Amps x Resistance

12 = 0.5 x R

R = 24 ohms

3) From step 2, A = 0.5 amps

4) since this is a series circuit, Re = Rh + 24

Step-by-step explanation:

find 80% of quantity if 40% the quantity is 420.​

Answers

Answer:

840

Step-by-step explanation:

If 40% of the total quantity is 420, then to find 80%, just double the number.

420*2=840

pls help i dont get how to do it i only know how to plug in but how do u decide which one?

Answers

Answer:

-4,2

Step-by-step explanation:

gskskdmdj

hope it helps

-4,2 put that in and thats the answer

the first three terms of sequence are given round the nearest thousandth if necessary
12,15,18,..
Find the 32nd term​

Answers

m=∆t
m=15-12
m=3
y=mx+b
12=3(1)+b
12=3+b
9=b

f(x)=3x+9
f(32)=3(32)+9
f(32)=96+9
f(32)=105

Answer:

105

Step-by-step explanation:

It is increasing by 3 everytime.

So you just use that and write down all numbers in order ascending to the 32nd term.

I'd list them all but I don't think you wanna read all of it.

Hope this helps.

The base of a triangle is 24 millimeters and the height is 7 millimeters. What is the area of the triangle?

Answers

24 times 7= 168 *because it’s a triangle you divide by 2*

168/2= 84 millimeters^2
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