MATHEMATICS HIGH SCHOOL

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?A)Price of a shirt is $9, and price of a cap is $2.
B) Price of a shirt is $10, and price of a cap is $1.
C) Price of a shirt is $8, and price of a cap is $3.
D) Price of a shirt is $7, and price of a cap is $4.

Answers

Answer 1

Answer:

Answer:

C. Price of a shirt is $8, and price of a cap is $3.

Step-by-step explanation:

Let us assume the

initial cost of each shirt = x

initial cost of each cap = y

The total price of a shirt and a cap is $11.

i.e $x+y=11$

$\Rightarrow y=11-x$ ----------------1

As the price of the shirt was doubled and the price of the cap was 3 times its original price, so

new cost of each shirt = 2x

new cost of each cap = 3y

The total price of a shirt and a cap would be $25.

i.e $2x+3y=25$ --------------2

Putting the value of y from eq 1, in eq 2

$\Rightarrow 2x+3(11-x)=25$

$\Rightarrow 2x+33-3x=25$

$\Rightarrow 2x-3x=25-33$

$\Rightarrow -x=-8$

$\Rightarrow x=8$

Putting it in eq 1,

$\Rightarrow y=11-8=3$

Therefore, price of a shirt is $8, and price of a cap is $3.

Answer 2

Answer: Ok got it the answer is C) 8 x 2 = 16 3 x 3 = 9
so 16 plus 9 is 25

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Answers

Answer:

$b-17$

Step-by-step explanation:

So, Tanvi started with b buttons.

And she gave away 17.

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Therefore, she now has b-17 buttons.

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The summer drama club charge $4 per student or admission to a play. The club borrowed $400 from parents to pay for costumes and props. After paying back the parents, the drama club had $100 left. How many students attended the summer play?

Answers

25 students attended the play, $4 per student with a total of $100, 100 / 4 = 25

Susana drove 125 miles in 5 hours. What is her average speed in miles per hour? a) 25 mph b) 30 mph c) 35 mph d) 40 mph

Answers

Answer: a) 25 mph

Explanation:

To find the average speed, we need to divide the total distance by the total time. Here, we have Susana driving a total distance of 125 miles with a time of 5 hours.

We can calculate the average speed by dividing the total distance driven by the total time driven.
125 miles / 5 hours = 25 miles/hour

This gives us answer option a, the average speed of Susana is 25 mph.

Answer:

The average speed is 25 mph

Step-by-step explanation:

We can calculate average speed by dividing the distance and the time interval:

average speed = (total distance traveled/time interval)

= (125 mi/5 hours)

= 25 mph

Her average speed is 25 mph.

a) 25 mph

(3x - 40)° (2x + 23)°

Answers

Answer:

Step-by-step explanation:

The expression (3x - 40)° (2x + 23)° represents the product of two angles, (3x - 40)° and (2x + 23)

(3x - 40)° (2x + 23)° = (3x - 40)(2x + 23)°

3x - 40)(2x + 23)° = 3x(2x + 23) - 40(2x + 23)°

3x(2x + 23) - 40(2x + 23)° = 6x² + 69x - 80x - 920

6x² + 69x - 80x - 920 = 6x² - 11x - 920

simplified expression of (3x - 40)° (2x + 23)° is 6x² - 11x - 920.

Write the equation of each line in the indicated form 1. Standard form. Slope=8/3;(-2,0)

2. Point-slope form (-5,6) and(3,-10)

Answers

1. standard form is y=mx+b so I will use point slope to start
y-0=8/3(x+2), y=(8/3)x+(16/3)
2.Must solve for slope first, (y2-y1)/(x2-x1), -10--5/3-6= -5/-3= 5/3
so slope is 5/3, point slope is y-y1=m(x-x1), y-6=5/3(x+5)

Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?

Answers

Amount of pizza dough that Rosa has = 4 1/2 pounds
       = 9/2 pounds
Amount of dough required by Rosa to make 1 pizza = 3/4 pounds
Then
The number of pizza that can be made with 9/2 pounds of dough = 1/(3/4) * (9/2)
   = (4/3) * (9/2)
   = 2 * 3
   = 6
So Rosa can make 6 pizzas with the amount of dough she has.I hope the procedure is clear enough for you to understand.Glad to have helped you.

Answer:

Step-by-step explanation:

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