Charles is eight years older than five times Mark's age. If Charles is 63 years old, how old is Mark?

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Answer 2

Answer: 11

Step-by-step explanation:

11x 5 is 55. 55 plus 8 is 63


Related Questions

$500 at 12% for 6 months (0.5 years) Find the interest

Answers

Answer:

Step-by-step explanation:

500(.12)(.5)= $30 interest

In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer:

Answer: 43  and 137  

Step-by-step explanation:

Delta math ez

Erik is an RN at the hospital. He gets a standard rate of pay for 40 hours. He gets 175% of that rate for overtime. One week Erik works his
regular 40 hours and has 16 hours of overtime. He makes $680 that week.
Which equation would solve for the standard rate of pay?

Answers

Answer:

40R+16 (1.75r)= $680

Step-by-step explanation:

Trust me

In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed the test?

Answers

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

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if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Answers

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

Whats the area of number 10 ? Help please, help me do it and explain if you can! BTW THIS IS COMPOSITE SHAPES

Answers

Answer:

10. Area = 72 units²

Step-by-step explanation:

10. The shape in number 10 is a trapezoid.

Area of trapezoid = ½(a + b)*h

Where,

a = 6

b = 12

h = 8

Area = ½(6 + 12) * 8

Area = ½(18)8

Area = 72 units²

The Colvilles are buying a new car. The cash price is $35,000.00. They will make a down payment of 20% or $5,000. The balance will be covered by an installment loan. The loan will be repaid in 48 monthly payments of $651. The annual percentage rate for the loan is
%. (Round your answers to two decimal places.)

Answers

9514 1404 393

Answer:

  2.01% for a down payment of $5000

  5.49% for a down payment of 20%

Step-by-step explanation:

There is no formula for the APR of a loan, given its other parameters. The value must be found using iterative or graphical means. The attached shows a graphical solution for each of the two cases for a 4-year loan.

  For 20% down payment, APR ≈ 5.49%

  For $5,000 down payment, APR ≈ 2.01%

Answer:

2.01% for a down payment of $5000

 5.49% for a down payment of 20%

Step-by-step explanation:

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.50? What is the altitude of the plane? Round your answer to the nearest tenth of a mile. 0.1 mile b. 0.5 mile 35.1 miles d. 8.6 miles​

Answers

Answer:

tana=h/x

tan6.5=h/4

h=4tan6.5

h=0.5 mi

Step-by-step explanation:

I hope this helps u! :D

Don’t understand could I get some help pls :)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Parallel lines.

We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,

so the points here are (-6,-17)

==>

(y-(-17)) = m(x-(-6))

==>

here m = 1/2 ,hence

y+17 = 1/2(x+6)

==> y+17 = 1/2(x) + 3

==> y = 1/2(x) + 3 - 17

==> y = 1/2(x) - 14

hence the Option 4.) is the correct answer!!

3p + 10 = 2p + 21

a. 15
b. 17
c. 11
d. 21​

Answers

Answer:

c.  11

Step-by-step explanation:

3p + 10 = 2p + 21

Subtract 2p from both sides.

3p - 2p + 10 = 2p - 2p + 21

Simplify.

p + 10 = 21

Subtract 10 from both sides.

p + 10 - 10 = 21 - 10

Simplify.

p = 11

Answer: c.  11

Answer:

c.11

Step-by-step explanation:

3+10=2+21

3+10−10=2+21−10

3=2+11

3−2=2+11−2p

=11

hope this helps

have a nice day


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

Four out of 18 male student and
three out of 21 temale studerit failed
on one weekly online test. Are the
ratios of male and female student
who failed this test proportion? why or why not?​

Answers

Answer:

Male 2:9

Female 1:7

Step-by-step explanation:

In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?

Answers

Answer:

36.5 cm

Step-by-step explanation:

The Adjacent leg is 36.5 cm

What are trigonometric functions?

"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

What is hypotenuse, opposite and adjacent side of a right angled triangle?

"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."

We have

Hypotenuse (AB) = 58 cm

Angle θ = 51 degree

From the figure, by using trigonometric functions

Cos θ = [tex]\frac{BC}{AB}[/tex]

we have to find BC

Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]

We have, AB = 58 cm

BC = AB cos [tex]51^{0}[/tex]

⇒BC = 58 . cos [tex]51^{0}[/tex]

⇒BC = 36.50 cm

⇒BC = 36.5 cm

Hence, Adjacent leg is 36.5 cm

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Micah and crystal purchase two movie tickets. Tickets cost $8.50 each. drinks cost $3.50 each, and the boxes of candy cost $3.00 each. use an algebraic expression to desribe how much they spend based on the number of tickets, drinks and boxes of candy they buy

Answers

Answer:

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

Step-by-step explanation:

t= tickets (8.50)

d= drinks (3.50)

c= candy (3.00)

The area of the rectangle below is 18 square units. What is the width of the rectangle? if the length is 3 3/4

Answers

Answer:

5.76 units

Step-by-step explanation:

3 3/4= 3.125

18÷3.125=5.76

Sorry if I'm wrong.

Please mark me as Brainliest.

In a craft activity, students are making flowers using ribbon. Each student will make one flower and each flower requires 18 inches of ribbon. About how many meters of ribbon are needed for 32 students? Note that 1 meter equals about 1.09 yards. Round to the nearest hundredths place.

Answers

Answer:

jbhhj

Step-by-step explanation:

kkkk

Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?

Answers

Answer:

Mr. Esposito is taller By 8 inches

Step-by-step explanation:

5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.

(71-63=8)

DON'T FORGET TO DOUBLE-CHECK!

Answer:

Mr. Esposito is taller by 8 inches

Step-by-step explanation:

Mr. Esposito

12x5 = 60 + 11 = 71

Mrs. Humbert

63 inches = 5 foot and 3 inches

71 - 63 = 8

what is the measurement?

Answers

this question involves trig

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

we have p and h in this question so we can use the first formula

[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]

Answer:

55.2

Step-by-step explanation:

sinx= 23/28

multiple both sides by inverse sin

x= sin^-1(23/28)

x= 55.2

Which is the graph of linear inequality x + 2y <= 12

Answers

X+2y=12
X+2y=12-12
X+2y-12=0

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

I don't know how to do this. Any help?

Answers

Answer:

cos 37=x/b (second one)

sin 37= a/b (third one)

tan 37=a/x (sixth one)

Step-by-step explanation:

Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.

PLEASE HELP! I WILL GIVE YOU BRAINLIEST

Answers

Answer:

A(-3,-4)

B(-1,-2)

C(-4,-1)

Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!

Answers

Answer:

19

Step-by-step explanation:

given that 8 + m = 27

we need to find m

we can do this by isolating the variable using inverse operations

8 + m = 27

we want to get rid of the 8 in 8 + m

The opposite of addition is subtraction

So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side

So we subtract 8 from each side

8 - 8 cancels out

27 - 8 = 19

we're left with m = 19

In the expression 8 × ( 13 − 8 ) ÷ 4 + 5 , what is the first computation that should be completed?

Answers

Answer:

(13-8)

Step-by-step explanation:

It is in parenthesis which is the first thing you complete because PEMDAS ✨

the answer must be (13-8)

Ms. Jaffey had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Jaffey put into each bowl?

Answers

Multiply the 2 numbers and see what you get

Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

To find out how many ounces of pretzels Ms. Jaffey put into each bowl, we need to divide the total number of ounces by the number of bowls.

Ms. Jaffey had a total of 428.5 ounces of pretzels, and she distributed them equally among 5 bowls. Therefore, we can divide the total number of ounces by 5 to determine the amount in each bowl.

428.5 ounces ÷ 5 bowls = 85.7 ounces.

So, Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

Since it's unlikely to have exact measurements when dividing a total quantity into equal parts, we round the result to one decimal place, giving us 85.7 ounces. This means that each bowl contains approximately 85.7 ounces of pretzels.

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I WILL GIVR U BRAINERLEST AND A LIKE

The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answers

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Mia found the area of a polygon The area is 32 square cm.

Which of these polygons has an area of 32 square cm?

Answers

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle we have:

[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

Find the range of the data

5,9,13,6,4,5,8,12,12,6

Answers

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

Brady started to fill the box shown with some unit cubes.

Enter the total number of unit cubes needed to completely fill the box.Include the unit cubes already shown in your total.



Answers

Answer:

210

Step-by-step explanation:

Step 1: 6 rows and 6 columns each side so 6*6=36

Step 2: we have 6 sides so 36*6=216 cubes

Step 3: substract 6 cubes from the total since each row and column shares the same cube 216-6=210 cubes

The total number of unit cubes is A = 210 cubes and volume is V = 216 units³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the height of the rectangle be = 6 units

Let the length of the rectangle be = 5 units

And , let the width be = 7 units

So , Volume of Rectangle = Length x Width x Height

V = 6 x 5 x 7

V = 210 units³

Hence , the number of unit cubes is A = 210

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What is the answer to 3/4= 6

Answers

Answer:

False

Step-by-step explanation:

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