A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 3 hats and 4 masks were sold for $27. In the afternoon, 3 hats and 6 masks were sold for $33. Find the cost of each hat and each mask.

Answers

Answer 1

Answer:

Cost of each hat: $5

Cost of each mask: $3

Step-by-step explanation:

Let be "x" the cost in dollars of a party hat and "y" the cost in dollars of a mask.

Set up a System of equations using the information given in the exercise:

[tex]\left \{ {{3x+4y=27} \atop {3x+6y=33}} \right.[/tex]

You can use the Elimination Method to solve this System of equations:

1. You can multiply the first equation by -1.

2. Then you must add the equations.

3. Solve for "y".

Then:

[tex]\left \{ {{-3x-4y=-27} \atop {3x+6y=33}} \right.\\.....................\\2y=6\\\\y=\frac{6}{2}\\\\y=3[/tex]

4. Now you can substitute the value of "y" into any original equation.

5. Finally, solve for "x" in order to find its value.

Then:

 [tex]3x+4(3)=27\\\\3x=27-12\\\\x=\frac{15}{3}\\\\x=5[/tex]


Related Questions

The quadrilateral shown is a parallelogram. What is the measure of DC?
A) 8 B) 12 C) 18 D) 23

Help me I’ll give you best brainliest!!

Answers

Answer:

B) 12

Step-by-step explanation:

Opposite sides are congruent

In the triangle below, Four-fifths represents which ratio?


Right triangle A B C is shown. Side A B has a length of 4, side B C has a length of 5, and side A C has a length of 3.

sinC

sinB

cosC

tanB

Answers

Answer:

(A) [tex]sin C =\frac{4}{5}[/tex]

Step-by-step explanation:

Opposite,AB = 4,

Hypotenuse,BC = 5

Adjacent, AC = 3.

[tex]sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}[/tex]

The value of sin C, sin B, cos C, and tan B will be 4/5, 3/5, 3/5, and 3/4.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Right triangle ABC is shown. Side AB has a length of 4, side BC has a length of 5, and side AC has a length of 3.

Then the value of the sin C, sin B, cos C, and tan B will be

sin C = 4/5

sin B = 3/5

cos C = 3/5

tan B = 3/4

The diagram is given below.

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This is urgent, please answer!

The diagram shows the dimensions of a pool cover for a hotel pool.

Write and solve and equation to find the area of the pool cover.

Answers

Answer:

1035

Step-by-step explanation:

(10x7.5)+(20x45)+(8x7.5)will give you the area

What is the expanded form of this number?

18.029


(1×10)+(8×1)+(2×1100)+(9×1100)

(1×10)+(8×1)+(2×110)+(9×11,000)

(1×10)+(8×1)+(2×110)+(9×1100)

(1×10)+(8×1)+(2×1100)+(9×11,0

Answers

(1×10)+(8×1)+(2×110)+(9×1100)

Answer: (1x10)+(8x1)+(2x110)+(9x1100)

Write 17/25 as a percent

Answers

Answer:

68%

Step-by-step explanation:

Times both the top and bottom number by 4.

Answer:

Step-by-step explanation:

[tex]\frac{17}{25}*100=17*4[/tex]

  = 68%

What is 8 times 10 to the power of 24 divided by 2 times 10 to the power of 18? WILL GIVE BRAINLIEST!!!!!

Answers

Here is the solution-

Find the inner product for (8,4)(2,4)and state whether the vectors are perpendicular.
a.
8; no
c.
32; no
b.
8; yes
d.
32; yes


Please select the best answer from the choices provided

A
B
C
D

Answers

The inner product of vectors (8,4) and (2,4) is 32, and since the dot product is not zero, the vectors are not perpendicular.

The inner product (also known as the dot product) of two vectors can be calculated by multiplying the corresponding components of the vectors and then summing those products. For the vectors (8,4) and (2,4), the inner product is calculated as (8 × 2) + (4 × 4), which equals 16 + 16, and thus the inner product is 32.

To determine if the vectors are perpendicular, we need to check if their dot product is zero. In this case, since the dot product is 32, not zero, the vectors are not perpendicular to each other.

Therefore, the correct answer is C: 32; no.

In the square pyramid below, a = 12 ft and b = 10 ft.



What is the surface area of the square pyramid?
340 square feet
420 square feet
480 square feet
580 square feet

Answers

Square Pyramid

Hence , the surface area of the square pyramid is 340 square feet

Step-by-step explanation:

The square pyramid has a square base

Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.

The surface area of a square pyramid is SA, then

SA = Area of the base + [tex]\frac{1}{2}[/tex] × P × Sh

where P is the perimeter of the base and Sh is the slant height of the pyramid

P = 4 × 10

SA = [tex]10^{2} + \frac{1}{2}[/tex]× 40 × 12

SA = 100 + 240

SA= 340 square feet

Hence , the surface area of the square pyramid is 340 square feet

Need some help please

Answers

Answer:

90^

Step-by-step explanation:

Answer: 0

Step-by-step explanation: Look at where y is -2 and the you can see the coordinate is 0 because it hits the y axis at 0.

*free 30 points*
what is [tex](30*60)-15(10)[/tex]

Answers

1,800 - 150 = 1650 hope this helps :)
first you want to solve for what is inside the parentheses, 30×60, which is 1800. then 15(10) is 15x10 which is 150. 1800 - 150 = 1,650

(Absolute value of 12 - 20) - (27/3 + 11) ^2

Answers

Answer:

the answer is 400-8=394.

Step-by-step explanation:

The surface area of a triangular prism is 78 square inches. What is the surface area of a similar prism that is three times as large?

Answers

Answer:

234 inches

Step-by-step explanation:

The prism is 3× larger so you would multiply 78 by 3

Final answer:

To find the surface area of a similar prism three times as large, you need to square the scaling factor and multiply it by the original surface area.

Explanation:

The surface area of a triangular prism is 78 square inches. Given that the area scales in proportion to the square of the linear dimensions, if a similar prism is three times as large, the surface area of the larger prism would be 3² = 9 times the original surface area. Therefore, the surface area of the similar prism that is three times as large would be 78 square inches x 9 = 702 square inches.

there are 57 chips numbered from 1 to 57 placed in a barrel. One Chip is randomly pulled from the barrel. What is the probability that the number is on the chip is greater than or equal to 43

Answers

15/57

Count 43,44,45,45,47,48,49,50,51,52,53,54,55,56,57 which is 15 out of 57

What is the answer to 1/7÷3

Answers

1/7 divided by 3 can be written as:

1         3

----  ÷  ---- =

7         1

You need to do the reciprocal of 3 so that gives you 1/3.

1         1

----  ÷  ---- =

7         3

Then multiply numerator with numerator and denominator with denominator.

1         1             1

----  ÷  ---- =   --------

7         3         21

Your final answer is 1/21.

Find the line that best fits. Note that values have been rounded.
A) y=0.7x+5.2
B) y=0.7x-5.2
C) y=0.07+5.2
D) y=0.07-5.2

Answers

the answer is A hope this helps

Answer:the answer is a

Step-by-step explanation:



What is the volume of the eraser?

4 cm
24 cm3
52 cm2
52 cm3

Answers

24cm3 because it says the volume is 24cm3 and the prism measurements are 4x2x4cm
It is b I got 100 % on the test

A new park was designed to contain two circular gardens. Garden A has a diameter of 50m and garden B has diameter of 70m if the gardener wants to outline the gardens edging, how many meters will be needed to outline the smaller garden?

Answers

Answer:

  157

Step-by-step explanation:

The circumference of a circle with diameter d is given by ...

  C = πd

The circumference of a 50 meter circle will be ...

  C = π(50 m) ≈ 157.08 m

It will take about 157 meters of edging to outline the smaller garden.

The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.
60=a(0+5)(0+3)
What is the value of a?
−7.5
−4
4
7.5

Answers

Answer:

a=4

Step-by-step explanation:

60=a(0+5)(0+3)

We can simplify this equation

60 = a (5) (3)

60 = a(15)

Divide each side by 15

60/15 = 15a/15

4 =a

Answer:

C) 4

Step-by-step explanation:

60=a(0+5)(0+3)

60 = a(5)(3)

60 = 15a

a = 60/15

a = 4

Truck A delivers 228 tons of sand in 12 days. Truck B averages delivering 21 tons each day. 1) How many tons of sand does Truck A average delivering on each day?

Answers

Step-by-step explanation:

track a averagely delivers 19 tonnes of sand per day

Answer:

19 tons of sand.

Step-by-step explanation:

228/12=    /1

228/12= 19

A cafeteria used 5 gallons of milk in preparing lunch how many one – quart containers of milk did the cafeteria you

Answers

Answer:

20 quarts

Step-by-step explanation:

there is 4 quarts in one gallon therefore there is 5 times one gallon.

5*4=20  

Answer:

20 quarts

because there are 4 quarts in one gallon

hope this helps :)

Bivariate data is data for two, usually related, variables. Each value of one variable is paired with a value of the other, for example, the height and shoe size of each student in a high school class. Bivariate data can be plotted on a coordinate plane called a scatter plot. A scatter plot’s x-axis represents one variable, and its y-axis represents the other. By plotting each data pair on a scatter plot, we can visualize the relationship between variables. Scatter plots help us understand whether or not something like height and shoe size are related. Scatter plots also help us identify outliers and clustering in a set of bivariate data. Outliers are values that are much larger or smaller than most other values in a data set. On a scatter plot, outliers are easy to spot since they appear well above or below most other plotted points. Clustering becomes apparent when points are bunched close together. This tells us something about how common a particular range of values is.

Answers

Answer:Average gas price at a local gas station.

Step-by-step explanation:

Final answer:

Bivariate data consists of pairs of related variables and is visualized using a scatter plot. Scatter plots help identify relationships between variables, as well as outliers and clusters within the data.

Explanation:

Bivariate data refers to data that consists of pairs of variables, for example, the height and shoe size of students. Each pair of data is connected, which represents a specific point in the data set. When presented on a scatter plot, bivariate data gives a visual representation of the relationship between these two variables. The x-axis of a scatter plot indicates one variable and the y-axis represents the other.

Scatter plots give us the ability to identify both the existence of relationships between variables and the presence of outliers, which are values significantly larger or smaller than the other values in the data set. These outliers are easy to spot on a scatter plot as they are often far removed from the other plotted points. Scatter plots also help to identify clusters, which is when data points are grouped closely together, indicating a common range of values for the variables.

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The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going from 0.25 to 2.75. 0 dots are above 0.25. 3 dots are above 0.5. 1 dot is above 0.75. 3 dots are above 1. 0 dots are above 1.25. 1 dot is above 1.5. 2 dots are above 1.75. 3 dots are above 2. 2 dots are above 2.25. 1 dot is above 2.5. 0 dots are above 2.75. How many rain gauges recorded rainfall? 2 8 11 16

Answers

Answer:

16

Step-by-step explanation:

Based on the dot plot given on the rain gauges, the number of rain gauges that recorded rainfall must be 16.

What number of rain gauges recorded rainfall?

Looking at the dot plot, the gauges that recorded rainfall would be those that have rainwater that is above 0.

The total number of these are:

= 3 + 1 + 3 + 1 + 2 + 3 + 2 + 1

= 16 rain gauges

In conclusion, option D is correct.

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Please help me solve the equation
2c + 5 = 11 + 4a

Answers

Factor then solve to find the complex solutions

c=2a+3

Answer:

c = 2a + 3

Step-by-step explanation:

2c + 5 = 11 + 4a

2c = 4a + 11 - 5

2c = 4a + 6

c = 4a/2 + 6/2

c = 2a + 3

This confuses me.
Find the table values for y=x^3+x^2-6x

Answers

You have to plug in the x values into the equation. For example, if you’re looking for the y value of -3, plug -3 in for x (y = (-3)^3 + (-3)^2 - 6(-3)) which equals 0.

Diameter: 10 centimeters; height: 14 centimeters

Answers

Are you looking for a radius?

A ride at a carnival moves on a circular path with diameter 80ft. What is the approximate distance of one complete loop?

5 points

Answers

40 ft hhhhhhhhhhhhhhhhhhh

A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the population?

A. all whales
B. a pod of humpback whales
C. killer whales
D. all humpback whales

Answers

Answer is D !! Hope this helpsss

Final answer:

In biology, the population refers to all individuals of a species in an area. For the humpback whale study, the population is the specific pod of whales being studied, not all whales or humpback whales in general. This aligns with population ecology principles.

Explanation:

The population in a biology context refers to all the members of a single species living in a particular area. In the given scenario where a scientist studies a pod of humpback whales to determine the migration of humpback whales, the correct answer would be B. a pod of humpback whales. This is because the scientist is studying a specific group of humpback whales, which constitutes a population within the larger population ecology context of all humpback whales.

Population ecology is a field that focuses on the number of individuals of one species in an area and how and why that number changes over time. It helps in understanding different aspects of species like their migration patterns, social structures, and interaction with the environment. A pod of humpback whales would be considered a distinct population if they are living together in the same space and are interbreeding, as per the definition of a population in this biological field.

The temperature dropped 4 °F every hour for 5 hours. What was the total number of degrees the temperature changed in the 5 hours?

Answers

Answer:

dropped 20°F

Step-by-step explanation:

dropped 4°F = 1 hour

x 5

dropped 20°F= 5 hours

help please!! i’ll reward branliest, 50 points

Answers

Answer:

Madeline: y=1x+9

Issac: y=2x+1

x=8, y=17

Step-by-step explanation:

Solving for X:

Multiply Issac's by -1:

y= 1x+ 9

-y=-2x-1

Combine:

0=-x+8

Add x to both sides:

x=8

Solving for Y:

Since we already have x, we only need to input the x value into one of the formulas:

y=1(8)+9

Simplify parenthesis with multiplication:

y=8+9

Add:

y=17

If you feel unsure, check your work with both equations:

(17)=2(8)+1

17=16+1

17=17=Good

(17)=1(8)+9

17=8+9

17=17=Good

Please give a brainliest and a thx ;)

I hope this helps u :)

Jamie paid the rent well past the due date for the months of April, May and June. As a result, he had been charged a total of $75 as late fee. How much did he pay as late fee per month?

Answers

He paid $225 as a late fee per month
Final answer:

Jamie paid $25 as a late fee per month. Hence, the final answer is $25 per month.

Explanation:

To find out how much Jamie paid as a late fee per month, we first need to determine how many months he was charged for and then divide the total late fee by that number.

In this case, he was charged for the three months of April, May, and June, so there were 3 months.

The total late fee was $75, so to find out how much he paid per month, we divide the total late fee by the number of months: $75 / 3 = $25 per month.

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