If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each sweater.

Answers

Answer 1

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

Answer 2

Answer:

What the other guy said

Step-by-step explanation:


Related Questions

Write and expression for the AREA of the figure in simplest form.
2x-12
1X-6

Answers

Answer:

2

1

2

1

6

1

1

9

6

Solution

1

1

9

6

hope this helps

Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in

Answers

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

Area of circle = πr²

Here, r = radius of the circle

1). For radius = 1.7 units

Circumference = 2π(1.7)

                         = 2(3.14)(1.7)

                         = 10.676

                         ≈ 10.7 units

Area of the circle = π(1.7)²

                             = 3.14(1.7)²

                             = 9.0746

                             = 9.1 units²

2). For radius = 14 ft

   Circumference of the circle = 2π(14)

                                                 = 28(3.14)

                                                 = 87.92

                                                 ≈ 87.9 ft

    Area of the circle = πr²

                                  = 3.14(14)²

                                  = 615.44

                                  ≈ 615.4 ft²

3). For radius = 9 in.

   Circumference = 2π(9)

                             = 18π

                             = 56.52

                             ≈ 56.5 in

Area of the circle = π(9)²

                             = 81π

                             = 254.34 in²

                             ≈ 254.3 in²

Is the answer to the problem below correct? If yes, why? If not, what mistake(s) were made in solving the
problem an what is the correct answer?
Step 1: 12 = -2(x - 4) - 8
Step 2: 12 = -2x - 8 - 8
Step 3: 12 = -2x - 16
Step 4: 28 = -2x
Step 5: 26 = x

Answers

9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?

Answers

Answer:

It is safe

Step-by-step explanation:

Using trigonometry :

Cosθ = adjacent / hypotenus

Hypotenus = length of ladder = 12 feets

Adjacent = distance between ladder and wall = 3 feets

Cosθ = 3 /12

Cosθ = 0.25

θ = cos^-1(0.25)

θ = 75.522°

To be safe ladder must be between (70 - 85)°

Sijce ladder is at an elevation of 75.22° ; then it is safe.

h( t ) = 3t - 6 which function increases faster​

Answers

Need second function

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

[tex]\frac{1}{9} + p = 1[/tex]

[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

que es un ángulo obtuso​

Answers

Answer:

naniiiiiiiiiiiiiiiiiiiiii

Answer:

uhmmuhmmmmmmmmuhmmmm

Question 4 (1 point)
What is the value of x?
30
A. 4 sqrt 3
B. 16
C. 4
D. 8 sqrt 3

Answers

Answer:

I think answer is C. 4

Step-by-step explanation:

8:2=4

THIS IS MY LAST QUESTION. Okay, im a bit anxious to get this done. Ive done half the problem, I just need the other half.

Answers

Answer:

umef leaf ninja the frog held a

Find the radius x of a

Answers

Answer:

This doesn’t add up because the hypotenuse is supposed to be the longest side

Step-by-step explanation:

In a shipment of new cookies for a store, 4/12 of the cookies were sugar and 1/5 were oatmeal. The remainder of the cookies were chocolate chip. What fraction of the cookies were chocolate chip?

Answers

Answer:

13/15

Step-by-step explanation:

The fraction of the cookies that are chocolate chip can be determined by solving this equation

1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])

1 - [tex]\frac{20 - 12}{60}[/tex]

1 - [tex]\frac{8}{60}[/tex]

[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15

The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?

Answers

Answer:

18.78 minutes is my opinion

Step-by-step explanation:

3 ml is filled in 1 minute

1 ml is filled in 1/3 minutes

20 ml is filled in 1/3*20 minutes

=6.22

75 ml is filled in 1/3*75 minutes

=25

25-6.22=18.78

Which product of prime polynomials is equivalent to 3x4 – 81x?

3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)

Answers

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

i dont know how to do this

Answers

Answer:

y ≥ 1

since the graph starts at 1 and doesn't come below that

Answer:

B

I hoped this helped :))

Three students wrote expressions on their dry-erase boards.

Which students wrote equivalent expressions?




Student 1 (((( Student 2 ((((( Student 3

-5r + 3s + 1 / / -(5r - 3s + 1) // -5r + 3s -1

Answers

Answer:

Student 2 and Student 3

Step-by-step explanation:

Student 2

-(5r - 3s + 1)

= - 5r +3s - 1

Student 3

= - 5r +3s - 1

On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
C.
80
D.
88
E.
Given the number of newspapers Gary delivered on
the first three days, he cannot average exactly 72 per
day for the four-day period.

Answers

He delivered 88 on 4th day

subtract (7x - 3) -(5-3x)​

Answers

Answer:

4x-8

Step-by-step explanation:

7x-3-5-3x

combine like terms

7x-3x-3-5

4x-8

unless there is a value for x then that is all i can do

hope this helps:)

Answer: 10x - 8

Step-by-step explanation:

(7x - 3) -(5-3x)​

= (7x - 3) - 5 + 3x      Made them without ​parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.

= 7x - 3 - 5 + 3x

= 7x + 3x - 3 - 5

= 10x - 8

Discuss the history of algebra. Discuss some of the key developments in the field of algebra

Answers

The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations. Algebra has its roots in the theory of quadratic equations which obtained its original and quite full development in ancient Akkad (Mesopotamia) at least 3800 years ago. In Antiq- uity, this earliest Algebra greatly influenced Greeks1 and, later, Hindus. Its name, however, is of Arabic origin.

Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.

Answers

Answer:Number of coins that are quarters =60

Step-by-step explanation:

Total coins in possession of Eric=240

Number of coins that are pennies=11\20 x 240= 132

Number of coins that are nickels=4\20 x 240= 48

Since the rest are quarters,

Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)

=240-(132+48)

=240-180

=60


a universally accepted principle which does not require proof.

Answers

A universally accepted principle which does not require proof

The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?

Answers

Answer:

Step-by-step explanation:

The relation is proportional ⇒ Graph of y = 3x goes through origin

So the answer is (B)

Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )

Answers

$210 - $30 = $180

$180 / $15 = 12 hours

= 12 hours

hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?

Answers

Answer:

10/1

Step-by-step explanation:

You do

6÷ 3/5

Flip the 3/5 then multiply

6 ° 5/3

Reduce the numbers with the greatest common factor 3

So 2•5

And that's 10

Ans is 10.

The numbers in 6 divided by 3/5 are labeled below:

6 = whole number

3 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 5/3 = 30/3

Thus, the answer to 6 divided by 3/5 in fraction form is:

30/3

To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

30 / 3 = 10

The answer is rounded to the nearest two decimal points if necessary.

30/3 can be simplified to 10/1.

10/1 is an improper fraction and should be written as 10.

1/2-1/6(4-1/3) simplify

Answers

Answer:

3 5/7

Step-by-step explanation:

Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question

PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3

Answers

Answer is 7cm i think

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

find the values of the following
(a) -5×4+3×-6​

Answers

Answer: -26+3x

-5×4+3×-6​

Simplifies to:

-20+3x-6

need help for this question pls urgent
Here are the marks of a student in four exams.

65 80 76 69

The student takes a fifth exam.
His mean mark for the five exams is 70

Work out his mark in the fifth exam.

Answers

Answer:

61 marks

Step-by-step explanation:

Given,

Marks of the four exams = 65, 80, 76, 68

Let the mark for the fifth exam be = x

Mean of the five exams = 70

Therefore,

By the problem,

[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]

[tex] = > \frac{289 + x}{5} = 70[/tex]

=> 289 + x = 70 × 5

=> 289 + x = 350

=> x = 350 - 289

=> x = 61

Hence,

Marks of the fifth exam is 61 (Ans)

ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А

Answers

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

The figure shows secant GC and tangent GB intersecting to form an angle. Find x and y. If necessary, round to the
tenths place.
A X= 52.5
V = 30
B. = 54
= 60
C. X = 52.5
y = 93
D. 7 - 106.5
y = 60

Answers

C is the correct answer

hello i need help whit this in math

Answers

answer: 13

sorry if i’m wrong
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