Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

Answer 1

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer 2

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72


Related Questions

Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how

Answers

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n

Answers

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5
C. 0.5
D. 1.6

Answers

Answer:

!!B!!

Step-by-step explanation:

What is the scale factor used to

enlarge an 8" by 10" original

photo to a 16" by 20" image?

A. 2

B. 2.5....is the answer

C. 0.5

D. 1.6

I hope it helps.

Answer:

A

Step-by-step explanation:

8x2= 16   10x2=20

2. (09.01 MC) In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A. If m Arc BC is 96°, what is m Arc CD ? (3 points) 96° 22° 52° 148°

Answers

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t

Answers

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]

Please Answer Quick!!

The diameter of a big circle is 36 feet. What is the ratio of the circle’s radius to its diameter?

Answers

Answer:

In ALL circles, the diameter is twice the radius.

Therefore, the ratio of of radius to diameter in ALL circles is .5

Step-by-step explanation:

Answer:

1 : 2

Step-by-step explanation:

Diameter = 36 ft

Therefore, radius = 36/2 = 18 ft

Ratio of the circle’s radius to its diameter

[tex] = \frac{18}{36} \\ \\ = \frac{1}{2} \\ \\ = 1 \: : \: 2[/tex]

hi what is the answer for this please

Answers

Answer:

Step-by-step explanation:

It was reflected over the x axis

That's all I see

What is the area of a circle that has a diameter of 112? USE 3.14 FOR PI!!!!
DO NOT ROUND. *
Your answer

Answers

Answer: 9852.034562

Step-by-step explanation:

Answer:

  =9847.04

Step-by-step explanation:

The diameter is 112

The radius is 1/2 of the diameter

r = d/2 = 112/2 =56

The area of a circle is

A = pi r^2

  = 3.14 (56)^2

  =9847.04

Factor this polynomial completely.
12x2+x-6

Answers

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.

Clue 1: Maya and Josh have 20 candles

Clue 2: Maya and Sam have 13 candles

Clue 3: Sam and Josh have 15 candles

Clue 4: There are 24 candles altogether.


How many candles are on Maya’s cake?

How many candles are on Josh’s cake?

How many candles are on Sam’s cake?

Answers

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

Name the types of angles shown check all that apply

Answers

There are no other options listed

Answer:

There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical

Step-by-step explanation:

These are a few I know of

What is the degree measure of arc HG?

Answers

Answer:

arc HG = 40°

Step-by-step explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.

Answers

Answer:

10/19

Step-by-step explanation:

count how many is under 7.63

In a standard 52−card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10.




Suppose a solitaire player has played 800 games. Predict how many times the player turned over a black card as the first card.



The player can expect to turn over a black card about


( answer ) times.

Answers

Answer:

the player can expect to turn over a black card about 400 times.

Step-by-step explanation:

the way to solve a probability question is like this:

there are 52 total cards, out of those 52 cards, half of them are black cards.

that means 1/2 of 52 = black cards

if the plays 800 times, and half of the cards are black, the player can expect to have a 50% chance of flipping over a black card.

800/50 = 400.

therefore the player can expect to have flipped a black card 400 times.

The table below shows the survey results for six randomly selected frogs from a pond.


Gender Length, cm Weight, grams
F 8.5 22.7
F 7 19.3
M 9 25.2
M 6 18.1
F 8 22.1
M 11 23.6

F, female; M, male.


This data set contains
three variables, two of which are categorical
three variables, all of which are categorical
three variables, one of which is categorical
three variables, none of which are categorical

Answers

Answer:

This data set contains three variables, one of which is categorical

Step-by-step explanation:

The three variables are: Gender, Length and Weight

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.

Before a geometric object goes through a transformation it is called which of the following?
(1) the initial image
(2) the beginning image
(3) the pre-image
(4) the preliminary image

Answers

Answer:

The pre-image

Step-by-step explanation:

Hope this helps ya!

(3) The Pre-Image

Thanks?

Factorise 5n + 15
Please

Answers

Answer:

The correct answer is

5(n + 3)

Use the distributive property to factor

Hope this helps!

- Quinn

Answer:

Step-by-step explanation:

5n + 15 = 5*n + 5*3

           = 5* [n + 3]

           = 5[n + 3]

Q. Write the slope-intercept form of the equation of a line using the given graph.

Answers

The answer is A) -1/4x-3

Which statement describes the graph of the function?

Answers

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the table, we have:

f(0) = undefined

f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ5

TRUE OR FALSE?
Picture below

Answers

Answer:

True.

Step-by-step explanation:

If we were to simplify both fractions down to their simplest form, we would get:

[tex]\frac{3}{9} = \frac{1}{3}[/tex]

[tex]\frac{5}{15} = \frac{1}{3}[/tex]

Therefore, the two ratios do form a proportion. Both are equivalent to [tex]\frac{1}{3}[/tex] when in simplest form.

I need help on these two questions please.

Answers

Answer:

7)x=20 8)x=19

Step-by-step explanation:

7)4x-40=2x

4x-2x=40

2x=40

x=20

8)

2x+19=3x

3x-2x=19

x=19

If Larry gets 5% of 80 questions wrong, how many did he get correct? Provide an explanation :)

A. 8
B. 70
C. 4
D. 76

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :

[tex]95\% = \frac{95}{100} = 0.95[/tex]

Next, you have to multiply by the total number of questions :

[tex]0.95 \times 80 = 76 \: questions[/tex]

5% of 80 is 4, so he got 4 wrong
80-4=76
he got 76 correct

Can I get some help ASAP

Answers

Answer:

The top of the ladder touches the tree 14 ft above the ground.

Step-by-step explanation:

The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):

x^2 + 10.5^2 = 17.5^2, or

x^2 + 110.25 = 306.25.  Then x^2 = 196, and x = +14  (Answer C)

The top of the ladder touches the tree 14 ft above the ground.

An equation is shown. What is the value of the missing number? 0.86 x *blank* = 86

Answers

Answer:

100

Step-by-step explanation:

0.86 x 100 = 86

Answer:

100

Step-by-step explanation:

Tendrias que sacar la x pasar 86 a dentro lo cual te daria x= 86÷ 0.86

lo cual te daria 100

Please help me!!! :(

Answers

Answer:

Green Material: 129.6 in³

Brown Material: 194.4 in³

Step-by-step explanation:

The volume of the bin is 4×18×9 in³ or 648 in³

20% of 648 is 129.6 in³ (brown material)

30% of 648 is 194.4 in³ (green material)

what’s the best answer ???

Answers

Answer:

Option A

Step-by-step explanation:

Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,3) and (3,1).

[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]

Option A should be the correct answer.

i would say the answer is -2/7

What is the solution to the system of linear equations?

{2x + 4y = 20
{3x + 2y = 26

Enter your answer in the boxes.​

Answers

Answer:

x = 8, y = 1.

Step-by-step explanation:

2x + 4y = 20

3x + 2y = 26      Multiply this equation by -2:

-6x - 4y = -52    Add this to the first equation:

-4x = -32

x = -32/-4

x = 8.

Plug x = 8 into the first equation:

2(8) + 4y = 20

4y = 20 - 16 = 4

y = 1.

Find the sum of the measures of the exterior angles of a convex 65-gon.

Answers

Answer:

Answer is below

Step-by-step explanation:

The sum of the measures of exterior angles on any shape is always 360 degrees.

If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.

(n-2)(180)      Substitute

(65-2)(180)    Subtract

(63)(180)        Multiply

11340

Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.

A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.

Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.

The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]

So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

For more information:

https://brainly.com/question/20557865?referrer=searchResults

factor the expression. x^2+11x+28​

Answers

Answer:(x+4)(x+7)

Step-by-step explanation:

The middle number is 11 and the last number is 28.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 11

Multiply together to get 28

Can you think of the two numbers?

Try 4 and 7:

4+7 = 11

4*7 = 28

Fill in the blanks in

(x+_)(x+_)

with 4 and 7 to get...

(x+4)(x+7)

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