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.

Answer:

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Step-by-step explanation:

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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°

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

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

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

Answer:

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

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.

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

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]

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.

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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:

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

Answer:

8.64x1.334x10^16

11.52576x10^16

Step-by-step explanation:

R4.00 × 340

= R1 360.00

R623.48 × 15

= R9 352.20

R9 352.20 + R1 360

= R10 712.20

R12.00 × 340

= R4 080

R4 080 - R10 712.20

= -R6 632.20

The learners are making a R6 632.20 Loss

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

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

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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.

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

Answer:

-4,2

Step-by-step explanation:

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hope it helps

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]

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!!

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

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!