Jake was 4 times as old as Kelly 5 years ago. Their total age is 60 now. How much older is Jake than Kelly?​

Answer:

1743

Step-by-step explanation:

did the math

Answer:

154/9

Step-by-step explanation:

so lets put this in multiplacation form

[tex]2\frac{4}{9} * 7[/tex]

Then put the 2 4/9 in mixed number form

22/9* 7 or...

22/9*7/1

154/9

Answer: 47.5 miles per hour

Step-by-step explanation:

Speed = distance / time

48 minutes = 0.8 hours

Speed = 38 / 0.8

= 47.5 miles per hour

ANSWER: 21.235 m/s

Step-by-step explanation:

Distance travelled: 38 miles, 61155.1 m(SI unit of speed or average speed is m/s so distance has to be in meters and time has to be in seconds)

Time taken:48 minutes, 48×60 seconds= 2880 seconds

Average speed= total distance by total time taken: 61155.1/ 2880= 21. 235 m/s

Answer:

-1/128

Step-by-step explanation:

1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128

Answer:

Step-by-step explanation:

[tex]a =5\\r = -2\\Tn = ar^{n-1} \\T8 =5(-2)^8^-^1\\T8 = 5(-2)^7\\T8 = 5* -128\\T8 = -640[/tex]

Answer:

For a geometric sequence

U(n) = ar^n-1

where

a = first term

r = common ratio

n= number of terms

From the above statement

a = 5

r = -2

n = 8

U(8) = 5(-2)^8-1

= 5(-2)^7

= - 640

Hope this helps

Answer:

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

Step-by-step explanation:

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)

Answer:

13

Step-by-step explanation:

The triangles ABC and DEC are the exact same.

That also means that angle b in the same as angle E

You can then do: 3x=6x-39    (because they are the same)

then simplify:

39=3x

x=13

hope this helped! ask questions in the comments if you still don't know.

Answer:

Make x alone

Subtract 3x on both sides

3x - 3x = 0

6x - 3x = 3x

0 = 3x - 39

Divide 39 by 3

39 / 3 = 13

13 is the answer because it makes the equation equal

Hope this helps

Step-by-step explanation:

Answer:

The sum of the interior angles is 360 degrees.

Step-by-step explanation:

Answer:

A tangent is always perpendicular to the radius of the circle

so we can conclude that they are perpendicular and do form right angles between them

Answer:

I tried this and I found that the y-value here is -4

Answer:

-4/A

Step-by-step explanation:

Edge2020 Unit test prep

Answer:

120

Step-by-step explanation:

The options are:

flake view, screened-in balcony, upgraded landscaping, pool - 5 in total

Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have

n! =5! = 5x 4 x 3 x 2 x 1 = 120.

There are 120 120 options for purchasing a house in the community.

Answer:

She received £89.4

and she saved £67.05

Step-by-step explanation:

The complete question is as follows;

Madeeha’s father won £149.

He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.

(a) Work out how much money Madeeha received.

(b) Madeeha saved 3/4 of her share.

Work out how much Madeeha saved.

Answer;

The total ratio is 6 + 3 + 1 = 10

Since madeeha was given the biggest share, that means she is given 6 out of 10 portions

So the amount she was given would be ;

6/10 * 149 = £89.4

Now we were told she saved 3/4

Amount saved would be 3/4 * 89.4 = £67.05

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

Answer:

x is all real numbers, where x ≠ 2

Step-by-step explanation:

Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.

Answer:

The sum of all digits in the first 25 counting numbers is 127

Hope this helps

Answer:

Side c = 22.1

Angle A = 36.7°

Angle B = 53.2°

Angle C = 90.1°

Step-by-step explanation:

Triangle ABC is a right angle

Where given sides

a = 13.2

b = 17.7

We can find c using Pythagoras Theorem

Pythagoras Theorem for a right angle triangle=

c² = a² + b²

c = √(a² + b²)

c = √(13.2² + 17.7²)

c = 22.08008

≈To the nearest tenth = 22.1

We can solve for Angles A, B, C using Cosine rule

Angle A

a² = b² + c² - 2bc × Cos A

Cos A = b² + c² - a²/2bc

A = Arc cos ( b² + c² - a²/2bc)

A = Arc cos ( 17.7² + 22.1² - 13.2²/2 × 17.7 × 22.1)

A = 36.67563°

≈ To the nearest tenth = 36.7°

Angle B

b² = a² + c² - 2ac × Cos B

Cos B = a² + c² - b²/2ac

B = Arc cos (a² + c² - b²/2ac)

B = Arc cos(13.2² + 22.1² - 17.7²/ 2 × 13.2 ×22.1)

B = 53.21647°

≈Approximately to the nearest tenth = 53.2°

Angle C

c² = a² + b² - 2ab × Cos C

Cos C = a² + b² - c²/2ab

C = Arc cos ( a² + b² - c²/2ab)

C = Arc cos ( 13.2² + 17.7² - 22.1²/2 × 13.2 × 17.7)

C = 90.1079°

≈ to the nearest tenth = 90.1°

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Substitute y in the 1st equation

2x + 2(x - 4) = 16

Step 2: Solve for x

2x + 2x - 8 = 16

4x - 8 = 16

4x = 24

x = 6

Step 3: Plug in x to find y

y = 6 - 4

y = 2

Answer:

a= 30 b=-78

Step-by-step explanation:

Answer:

1) Option 1

2) Option 2

Step-by-step explanation:

1) 2df+3de

Where d = 10, e = -1 and f = 3

=> 2(10)(3) + 3(10)(-1)

=> 60 - 30

=> 30

2) -2ghi + 3hi

Where g = -5, h = -3 and i = 2

=> -2(-5)(-3)(2) + 3(-3)(2)

=> -60 - 18

=> -78

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

Answer:

x + 3

Step-by-step explanation:

Since the fractions have the same denominator we can add them. Adding them gives us (x + 3) / y so the numerator is x + 3.

Answer:

x + 3

Step-by-step explanation:

Answer:

21; steps are included:

Step-by-step explanation:

lets put this unknown number as a variable (n)

now lets write the equation out: (n=the unknown number)

16 = n-5

To keep the equation balanced we add 5 to both sides:

16+5=n-5+5

21=n

Now that means the unknown value is 21

Hope this helped

Answer:

16 = x - 5

Step-by-step explanation:

We start with 16. We then hear "is", which means equals. So we put an equal sign. Next, we hear "five less then", which means we will subtract 5 from something. We then learn the something will be an unknown number, which we will represent with the variable x. Now we write subtraction of 5 from x. 16 = x - 5

Answer:

Option B.

Step-by-step explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

[tex]y=a|x-h|+k[/tex]

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

[tex]y=a|x-(7)|+(-3)[/tex]

[tex]y=a|x-7|-3[/tex]    ...(1)

It passes through (4,0).

[tex]0=a|4-7|-3[/tex]

[tex]3=3a[/tex]

[tex]1=a[/tex]

Put this in (1).

[tex]y=1|x-7|-3[/tex]

[tex]y=|x-7|-3[/tex]

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

Answer:The answer is B

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

List the hours from 1 to 8

Multiply the hours by how much she is paid per hour ( $12)

X: 1, 2, 3, 4, 5, 6, 7, 8

y: 12, 24, 36, 48, 60, 72, 84, 96

X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5

Answer: The length of PQ is 37 KM

Step-by-step explanation:

(x+15) + 3(x+15)+ x=245

distribute

(x+15) + 3x+45+x

remove parenthesis

x + 15 + 3x + 45 + x

Add like terms

5x + 60 = 245

Subtract 60 from both sides

5x + 60 - 60 = 245 - 60

5x = 185

divide by 5

x = 37

<!> Brainliest is appreciated! <!>

Answer:

KE = 1/2mv²

Step-by-step explanation:

The answer above is the formula for calculating kinetic energy. It is wise to remember it.

Answer:

Here is the answer np! :)

Step-by-step explanation:

Answer:

1.25MilesPerMinute

Step-by-step explanation: