The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)

Answers

Answer 1

Answer:

a= 12, c= 24

The Solution:

a=?, c=?, No. of people attending=36

since c is twice as many as a, a= 2a

a + 2a= 36

3a= 36

(divide both sides by 3)

3a/3=36/3

a= 12

therefore, a= 12

since c is equals to 2a,

2a= 2(12)

2a= 24

therefore, c= 24


Related Questions

La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?

Answers

Answer:

sorry I cant understand--

18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?​

Answers

as uve not shown no options it shud be round bout 2350000

Step-by-step explanation:

Answer:

2,350,000

Step-by-step explanation:

this is the answer I believe



Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)

Answers

Answer:

£36

Step-by-step explanation:

7-3=£9.60/4

4units=£9.60

1 u=£9.60÷4=£2.40

total units->5+3+7=15

15 units=15×£2.40=£36

A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

Please help me will give brainlyest.

Answers

Answer:

x=24

Step-by-step explanation:

I think that its just a degree sign tbh

but because pc is a radius and so is pd their opposite angles are equal to each other.

so angle d and angle c are congruent

then because a triangles angles add up to equal 180 we do

180=x+54+x+54+x and solve for x

step 1 combine like terms x+x+x=3x 54+54=108

180=3x+108

step 2 subtract each side by 108

3x=72

step 3 divide each side by 3

x=24

hope this helps (:

Answer:

x = 36

Step-by-step explanation:

BD is a diameter.

<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.

m<BCD = x + 54 = 90

x + 54 = 90

x = 36

Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?

Answers

Answer:

parralelagram

Step-by-step explanation:

7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?

12

8. Question 7 is an example of...

Direct proportion
Inverse proportion​

Answers

the answer is inverse proportion

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

5

An athlete covers three consecutive miles by walking the first mile, running the second mile

and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as

ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,

How long does he take by walking, running and cycling?

ter your math answer

Answers

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

The diameter of a circle is 4 cm. Find its area in terms of \piπ.

Answers

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False

Answers

Answer:

True l True-----------------^~^

6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer: 380952381 / 1000000000

Step-by-step explanation:

:)P.s. This simplifies to 8/21 .

Answer:

8/21

Step-by-step explanation:

PLEASE HELP ME
Amelia burns 10 calories for each minute that she spends running. How many calories will she burn if she runs for 20 minutes?
SHOW YOUR WORK

Answers

Answer:

She will burn 200 calories

Step-by-step explanation:

10(number of calories)x20(minutes)=200

Answer:

amelia is running for 20 minutes. so

10 calories per minute

x

20 minutes of running

=

200 calories burned.

10 x 20 = 200

Pls help ill give brainliest pls dont answer if you dont know thanks

Answers

Answer:

below

Step-by-step explanation:

$8.56

what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM

Answers

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

[tex]3^0 = 1[/tex]

[tex]3^1 = 3[/tex]

[tex]3^2 = 9[/tex]

[tex]3^3 = 27[/tex]

[tex]3^4 = 81[/tex]

[tex]3^5 = 243[/tex]

[tex]3^6 = 729[/tex]

[tex]3^7 = 2187[/tex]

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

help teacher graph only​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?

Answers

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

Solve for x: 1/2x + 3 = 9​

Answers

Answer:

12

Step-by-step explanation:

Steps
1/2x+3=9
Subtract 3 from both sides
1/2x+3-3=9-3
Simplify
1/2x=6
Multiply Both sides by 2
2*1/2x=6*2
X=12

Expand and simplify the following:
6x - 3(2x-1)

Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

if 7y + 42 <14 then which among the following is true​

Answers

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth

Answers

Answer:

Step-by-step explanation:

C=2πr

C=2π4

*If the diameter is 8, then the radius is 4.

C=25.1

hope its correct and hope it helps

Circumference equals 2pir r=4in so 2(3.14)(4in)=25.12

Find the product of largest 4 digit number and

smallest 3 digit number.​

Answers

Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900

Answer:

Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.

Step-by-step explanation:

hope it's helpful to you

Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.

Answers

incorrect 15+16= 31 ???
Answer:
Allen is wrong.

Step-by-step explanation:
16 + 15 = 31

-30 < x/-4. Solve for x​

Answers

Answer:

-30 < x/-4

Above equation multiply by minus sign(-) so that sign of inequality is change from < to >

Above equation becomes

30 > x/4

30*4 > x

120 > x

Hence x is less than 120

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

QUESTION:
Rachelle is offered a new job with Big Time Book-Sellers. Her starting wage is $10.00
per hour, and she will receive a $0.50 raise after the first year. For each year that she
stays with the company after that, her raise will be $0.50 more than it was the year
before. How much will Rachelle make per hour in her 7th year working at Big Time
Book Sellers?
A) How would you solve this problem? Explain the steps you would take. What is
your answer?
B) What is one important detail from this problem that you think people might
commonly miss?

Answers

Answer:

Step-by-step explanation:

multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.

a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.

Find the area of the following figure:

Answers

Answer:

138

Step-by-step explanation

Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

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