A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers?

Answers

Answer 1

Answer:

D.)25 children and 75 adults

Equation 1: a + c = 100

Equation 2: 3a + 2c = 275

Step-by-step explanation:

A team t-shirt costs $3 per adult and $2 per child.

Let the number of children be = c

Let the number of adults be = a

A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:

On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes:

Now to know the number of children and adult, we can check by plugging in the values from options provided.

25 children and 75 adults  = 25(2)+75(3)=50+225 =275


Related Questions

In base 2 (Binary system), which equation is false?
*(explain answer in detail)

a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11

Answers

Answer:

it is a

Step-by-step explanation:

because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1

100 = 5

pls mark it as the brainlyest answer

Answer:

It's a.

Step-by-step explanation:

11 binary = 2 + 1 = 3 in decimal.

So 11 + 1 = 3 + 1 = 4 in decimal.

and 4 in binary = 100  (2^2 + 0 + 0)

12 ounces for
$
8.09

dollars per ounce

ounces per dollar.

Answers

1.5$ per ounce :)))))

There are only 7 days left until the launch of our new product and we only have $668 left and Ira promotion budget we need to spend $85 on the last day can you please calculate how many dollars we can spend on the remaining days

Answers

$83.28 you can spend on seven days

Answer:

97.16

Step-by-step explanation:

in total, you have $668.00.

To reserve enough for the last day, you need to subtract the last day's budget:

This means that, for the remaining 6 days in the week, you have $583.00.

Assuming an equal amount is being spent each day, you can calculate the daily budget by dividing the remaining total by the number of days left.

To avoid going over budget, you can spend $97.16 per day for the other six days.

Pam kicked a soccer ball down the field. Part of the ball's path, including its highest
point, is described by the function below, where f(x) is the height of the ball in feet.
According to the function, what is the ball's maximum height, in feet? (Use only the
digits 0-9 to enter the height.)
f(x) =
12x2+2x

Answers

Answer:

maximum height is 45/4 in feet

The maximum height of the ball is 45/4 in feet

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given tha Pam kicked a soccer ball down the field. Part of the ball's path, including its highest point, is described by the function below, where f(x) is the height of the ball in feet.

F(x)= 12x^2+2x        

Thus for this quadratic , the max value will occur at x= -b/2a

=  - 2 / (2 x 1/12) = -12

Plug in -12 to find the max height

= (-12)^2 + 2 x-12

=  45/4 in feet

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

What is the volume of this figure?

Enter your answer in the box.

yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.

Answers

Answer:

the answer is 4095

Step-by-step explanation:

Answer: 4095

Step-by-step explanation: that one person was right

with proof

Hey ! Can anyone help me solve these problems please. Thank you !

Answers

There are 3 sides to the 360 degree circle. This mean by dividing 360 by 120 = . This mean the answer would be 120 degrees per chunk of the circle. Hope this helps.

Determine the value of y, if x is -1. y= | x |-4

Answers

y=|-1|-4
The absolute value of -1 is 1
y=1-4
y=-3

1. Find the area of the polygon
2. Find the area of the polygon
A=__ sq. un

3. In the figure, each of the small squares has an area of 1. What is the area of the shaded region?
(A) 50
(B) 45
(C) 100
(D) 55

Answers

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

Eva filled a bucket with 7 gallons of water. A few minutes later, she realizes only 1 3/5 of water remained. How much water had leaked out of the bucket?

Answers

Answer:

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

[tex]7 - 1 \frac{3}{5} = 6 \frac{2}{5}[/tex]

It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?

Answers

Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

The expression below is the factorization of what trinomial?

(5x + 6)(3x - 2)

A. 15x^2 + 4x + 12

B. 15x^2 + 4x - 12

C. 15x^2 + 8x + 12

D. 15x^2 + 8x - 12

Answers

Answer:

Choice D is the correct answer

Step-by-step explanation:

Use the foil method and expand

The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.

Answers

Answer:

20 and 13

Step-by-step explanation:

If one list is 'a' and the other one is 'b' then

a-b = 7 and a+b = 33

a-b+a+b = 7+33

2a = 40

a = 20

Now, 20 - b = 7

-b = -13

b = 13

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.

90° + (4x + 3)° + 63° = 180°

90° + 4x° + 3° + 63° = 180°

4x° + 156° = 180°

4x° = 24°

x = 6

So, x = 6. Hopefully, this helped! If you have any further questions, let me know.

Find the slope of the line passing through the points(-9,-6) and (-4,5)

Answers

Hey there!

We're given 2 points that the line intersects, so we can easily determine the line's slope.

This is the formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{5-(-6)}{-4-(-9)}}[/tex]

[tex]\bold{\displaystyle\frac{5+6}{-4+9}}[/tex]

[tex]\bold{\displaystyle\frac{11}{5}}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{\frac{11}{5} }}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

What is the domain of this graph?

Answers

Answer:

x > 2

Step-by-step explanation:

The graph starts at x = 2

The graph goes up and to the right so x can't be less than 2.

What the value of w?

Answers

Answer:

56 degree

Step-by-step explanation:

90 - 34 = 56

Answer:

w = 56

Step-by-step explanation:

w + 34 = 90 (the angle is a right angle)

w = 90-34 = 56

What is the initial value & rate of change of the table

Weeks. Dollars
0. 10
2 20
4 30
6 40

Answers

Answer:

y = 10

rate of change = 5

Step-by-step explanation:

The initial value is the beginning output value, i.e. the y-value when x = 0

Therefore, the initial value is y = 10

rate of change = change in y ÷ change in x

⇒ rate of change = (40 - 30) ÷ (6 - 4)

                            = 10 ÷ 2

                            = 5

take two points : (0, 10), (2, 20)

rate of change:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{20-10}{2-0}[/tex]

[tex]\rightarrow \sf 5[/tex]

equation :

y - 10 = 5 ( x - 0 )

y = 5(x) + 10

so initial value:

y = 5(0) + 10

y = 10

Andre drinks 15 ounces of water, which is 3/5 of the bottle. How much does the bottle hold? Use x for the number of ounces the bottle holds.

Answers

Step-by-step explanation:

15 = 3/5 x = 3x/5

75 = 3x

x = 25 ounces

Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.
Candy Color Number of Candies
brown or orange 25
green or yellow 28
red or blue 27

Which statement is true based on the results in the table?

A.
All of the outcomes are equally likely because their relative frequencies are similar.
B.
All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.
C.
All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.
D.
All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.
E.
All of the outcomes are not equally likely because the relative frequency of picking red or blue candies is less than that of picking green or yellow.

Answers

Answer:

A

Step-by-step explanation:

There doesn't appear to be any particular color that has several more than the other choices.

Answer:

Option E

Step-by-step explanation:

If she picked them randomly than the 80 she picked are a pretty good representation of the candies in the bag, we know that there are different amounts of each candy based on Sara's numbers. According to her results, there are more green or yellow candies than brown or orange so the odds are there are more green or yellow candies in the bag. Since there are different numbers of each candy, the odds of her picking a certain color is different than the others, so the outcomes are not equally likely. The answeres can now be C,D, or E. I think it's option E because to me it seems like the most accurate of the three.

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)

Just answer part B please! :)​

Answers

Answer:

nonlinear

Step-by-step explanation:

Part B: nonlinear

The radius increases so the line is an arc going upwards not a linear line.

In other words, not a straight line.

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold


Help me asap

Answers

Answer:

c = 292; h = 225

c = cheeseburgers

h = hamburgers

Step-by-step explanation:

2 Equations;

h + c = 517

c = h + 67

h + h + 67 = 517  |  Substitution

2h + 67 = 517 | Subtract on Both Sides

2h = 450  | Divide

h = 225

Plug the h value in the second equation to find the value of c.

c = h +67 | Original Equation

c = 225 + 67 | Substitution

c = 292

225 hamburgers would be sold
517 - 67 = 450 (this makes them equal)
450/2 = 225 (this is the hamburger count)

Simplify the expression. Enter the answer in the box. 5 1/6 - 7 1/3

Answers

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4

Answers

The median value in the data set is the average of the two middle values which is: 23.

What is the Median of a Data Set?

In an ordered data set, the median is the middle value or average of the two middle values in the data set.

List out each data point in the data set given:

20, 20, 20, 22, 22, 24, 26, 26, 26, 26

The middle values in the data set are, 22 and 24.

Median = (22 + 24)/2

Median = 23

Learn more about the median on:

https://brainly.com/question/26177250

I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month?
A. $5,400
B. $5,625
C. $54,000
D. $56,250

Answers

Answer:

56,250

Step-by-step explanation:

First e turn the persentage into a decimal so we can multiply the 45,000 by it

45,000 x 0.25 = 11,250

Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month

11,250 + 45,000 = 56,250

The company earned 56,250 this month :)

Hope this helped!

Have a good day!

Please rate and mark brainliest!!

Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.

Answers

Answer:

d/dx x^4 + 4x^3 - 10

4x^3 + 12x^2

4x^3 + 12x^2 = 0

x = 0, -3

plug in x if you want the value

Write an equation for the graph below in terms of x
Y=

Answers

Y= -3/2x - 1
Because the slope is rise 3 run 2 and the y-intercept is -1

PLEASE ANSWER THIS ASAP IT'S DUE IN 5 MINUTES!!!!

1. The rule for an arithmetic sequence is: __________?
2. The rule for a geometric sequence is: __________?

Answers

Answer:

an = a1 + d (n - 1)

aⁿ = a₁ˣ⁻1

what is a question that is easier to answer using a stem-and-leaf plot than a dot plot?

Answers

Answer:

steam plot

Step-by-step explanation:

because the stem plot is easy to use

Answer:

When you use large numbers and don't have categories.

Step-by-step explanation:

Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.

---------------------------------------------------------------------------------------------------------

2 ][ 3 7 9

3 ][ 5 6

4 ][ 1 7 8

5 ][ 2

---------------------------------------------------------------------------------------------------------

If you use dot plot, it is recommended use amounts under 10.

what is the area of a circle with a circumference of 250

also I lost some of my friends on here and I cant find them and I haven't seen them since June :(

Answers

I hope I can help you:)
btw I still believe that your friends will meet you again in the future, don’t be so sad:))

Write the product as a product of a whole number and a unit fraction
3 * 3/8

Answers

Answer:

9/8 or 1 1/8

Step-by-step explanation:

3*3/8

3/1*3/8

numerator times numerator and denominator times denominator:

3×3/1*8 = 9/8 or 1 1/8

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