A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. What is the cost of one hat and one mask? Let Hat be "H" and Mask be "M"

Answers

Answer 1

Answer:

m=1$

h = 1$

Step-by-step explanation:

i think... seems the only reasonable answer

Answer 2

The cost of one hat is $1 and cost of one mask is $1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have 10 hats and 20 masks were sold for $30.

and, 8 hats and 10 masks were sold for $18.

let the cost of one hat be H and cost one Mask be M.

So, the system of Equation we get

10H + 20M = 30..........(1)

8H + 10M = 18...........(2)

Solving the above equation we get

10H - 16H = 30 - 36

-6H = -6

H = 1

and, 10 + 20M= 30

20M= 20

M= 1

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Related Questions

ASAP!! plzz help! thanks​

Answers

i believe the answer is C. natural numbers are positive while numbers

9)

Use VSEPR to predict the electron-pair geometry of N2.

A)

linear

B)

trigonal planar

C)

tetrahedral

D)

trigonal bipyramidal

Answers

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

write the slope-intercept form of the equation of the line.

Answers

Answer: y=x+2

Step-by-step explanation:

ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).

(0, 2) is the y-intercept, which will replace b.

y=mx+2

the slope of the line is 1.

y=1x+2

y=x+2

Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?

Answers

Answer:

24x1.35=32.4

He should have recieved $32.40 in change.

Two differences between y=2x and y=2x-7

Answers

Answer:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Step-by-step explanation:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Please answer!! It's in the exam I'm taking!! The first correct answer gets brainliest

Answers

Answer:

Answer B, AB is parallel to CD

Step-by-step explanation:

I'm 99% sure this is the answer.

Please help (;´༎ຶٹ༎ຶ`)
Solve the following inequality for s. Write your answer in simplest form.
8s + 3 < 9s +1

Answers

Answer:

s could be 3

Step-by-step explanation:

Select all of the equivalent for:
2(x+10)
Helppppp pls

Answers

Answer: c

Step-by-step explanation:

C. 2x + 20
Because you multiple 2 by x which is 2x and 2 by 10 which is 20

HELP PLEASE! I need helpppp!! :(

Answers

The equation has the greatest slope!

Hopeful it’s correct! sorry i’m not a genius:)
A I think is correct but double check that I’m not sure

A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
market. The second day he reduced the price by 12%. What was the price of the used car after this reduction?

Answers

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

find the percent of change.
50 to 75 ft...
please explain.​

Answers

Answer:

50%

Step-by-step explanation:

50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).

PLS HELP DUE SOON ILL GIVE BRAINLIEST

Answers

Answer:

a = w/p

Step-by-step explanation:

To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.

Answer:

a = w/p

Explanation:

Step 1: Multiply both sides by a.

ap = w

Step 2: Divide both sides by p.

ap/p = w/p

a = w/p

The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?

Answers

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

The answer to this question is 10.25

Please help me answer this no one else knows it.

Answers

Answer:

3/2

Step-by-step explanation:

the equation to find the slope is (y2 - y1) / (x2 - x1) so if you plug in the two points (9 - 6) / (3 - 1) you get 3/2

Answer:

[tex]\huge\boxed{\text{Slope: } \frac{3}{2}}[/tex]

Step-by-step explanation:

In order to solve for the slope between two points, we need to note that the slope between two points will be the change in y divided by the change in x, more commonly represented by this formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

We can find the change in y and change in x by subtracting the second values from the first values.

The second y value is 9, and the first is 6, so the total change is [tex]9 - 6 = 3[/tex].

The second x value is 3, and the first is 1, so the total change is [tex]3 - 1 = 2[/tex].

We divide the change in y by the change in x:

[tex]\frac{3}{2}[/tex]

Hope this helped!

The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.

Answers

25 times 10 is $250 to ship all 25 boxes hope this is the answer you were looking for srry if not

What percent of offspring will be brown eyed?

25%
50%
75%
100%
Please I need help

Answers

Answer:

100%

Step-by-step explanation:

they are all Bb. the capital B means that it is a dominant gene and the lowercase b won't "beat" the dominant gene. So they will all be brown

HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:

match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.

Answers

Answer: ↓↓↓

Step-by-step explanation:

Slope intercept formula: y = mx + b

Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5

Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5

Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4

A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°

Answers

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

The required measure of the angle x is given as 18°.

Given that,
A side of the triangle below has been extended to form an exterior angle of 66°

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°


Thus, The required measure of the angle x is given as 18°.

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Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here

Answers

Answer:

b = {20, -20}

Step-by-step explanation:

Given function:

f(x) = -x² + bx - 65 with maximum value of 35

To find

The value of b

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

x = -b/2a = -b / -2 = 1/2b

Solving for b:

35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20

See attached

solve question 20 (a) and (b)

Answers

Answer:

You first have to read on the coordinates where the curve and the straight line meet or cuts across

a.) 53

b.) 13

Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.

Answers

Answer:

y= -x-3

Step-by-step explanation:

A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.

We get...

y= -x+b

1= -(-4)+b

1=4+b

b=-3

Our final equation is y=-x-3

Hope this helped

Select all irrational numbers.

Answers

Answer:

Option 1 , 2 & 5

Step-by-step explanation:

4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.

Verification :-

1)[tex] \sqrt{ \frac{1}{10} } = \frac{ \sqrt{1} }{ \sqrt{10} } = \frac{1}{ \sqrt{2} \times \sqrt{5} } [/tex]

Hence , it is irrational.

2)[tex] \sqrt{ \frac{1}{8} } = \frac{ \sqrt{1} }{ \sqrt{8} } = \frac{1}{2 \sqrt{2} } [/tex]

So , it is irrational.

3)[tex] \sqrt{ \frac{1}{16} } = \frac{ \sqrt{1} }{ \sqrt{16} } = \frac{1}{4} [/tex]

So , it is rational.

4) [tex] \sqrt{\frac{1}{4} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]

So it is rational.

5) [tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } = \frac{1}{ \sqrt{2} } [/tex]

Hence it is irrational.

Square root of 1/10and 1/8 and 1/2 are the only irrational numbers

For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers

Answers

Answer: Um ok? What are the measurements of the original batches...

Step-by-step explanation:

PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A standard die is rolled twice find each probability.

Answers

Answer:

I see you are rolling a standard fair six-sided die twice. There are 6 equally likely outcomes on each roll of the die. Die Roll #1: P(Perfect square) =1/3 The winning outcomes are 1 and 4, this makes the fraction 2/6, which reduces to 1/3.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

The probabilities for the following statements are:

a) 1/4

b) 1/18

c) 1/3

d) 1/12

e) 1/6

f) 1/36

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The sample space for rolling a die twice.

= {1, 2, 3, 4, 5, 6 } x {1, 2, 3, 4, 5, 6}

= {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

The number of possible outcomes.

= 36.

Now,

The number of outcomes where both are odd.

= { (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5) }

The probability that both are odd.

= 9/36

= 1/4

The number of outcomes where both are a perfect square.

= {1, 1), (4, 4) }

The probability that both are perfect squares.

= 2/36

= 1/18

The number of outcomes where the first is even and the second is less than 5.

= { (2, 1), (2, 2), (2, 3), (2, 4), (4, 1), (4, 2), (4, 3), (4, 4), (6, 1), (6, 2), (6, 3), (6, 4) }

The probability that where first is even and second, is less than 5.

= 12/36

= 1/3

The number of outcomes where the first is prime and the second is 6.

= { (2, 6), (3, 6), (5, 6) }

The probability where the first is prime and the second is 6.

= 3/36

= 1/12

The number of outcomes where both are the same.

= { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) }

The probability that both are the same.

= 6/36

= 1/6

The number of outcomes of at least 4 both times.

= {(4, 4)}

The probability that at least 4 both times.

= 1/36

Thus,

The probabilities for each statement are given above.

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distributive property -8(1+5m)

Answers

Answer:

im pretty sure that it is -48 there is a chance im wrong

Step-by-step explanation:

.

cindy bought a new jacket. Jill bought a jacket that costs 3 times as much as Cindy. Altogether their jackets cost 300$. What equation can be used to represent the problem and how much was each of their jackets?

Answers

Answer:

x + 3x = $400

the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Step-by-step explanation:

The computation is shown below:

Here we assume the cindy be x

So the Jill be 3x

Now the equation is

x + 3x = $400

4x = $400

x = $100

So the Cindy jacket cost is $100

And, the Jill jacket cost would be

= 3x

= 3(100)

= $300

Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively

guys I need help
plss answer activity 1.2.3 & 4
as long as you can... I will mark you brainliest

I will be happy if you help me
(╯︵╰,)​

Answers

Answer:

Activity 1:-

1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So

[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]

[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).

2) Area of a parallelogram = Altitude × Base

Base = 10 cm. So ,

[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).

3) Let the fare of 1 unit distance be f

So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).

4) Let the distance be 'D' , speed be 's' & time be 't' .

We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).

5) We know that area of a square (A) = side² (s²)

[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).

Activity 2:-

1) p is directly proportional to sum of u & w.

⇒ p ∝ u + w

⇒ p = k (u + w)

Putting the values of p , u & w

⇒ 14 = k(4 + 3)

⇒ 7k = 14

k = 14/7 = 2

2) r is directly proportional to square of t.

⇒ r ∝ t²

⇒ r = k × t²

Putting the values of r & t

⇒ 16 = k × 16²

k = 16² ÷ 16 = 16

3) y is directly proportional to cube root of x.

⇒ y ∝ ∛x

⇒ y = k × ∛x

Putting the values of x & y ,

⇒ 2 = k × ∛27

⇒ 3k = 2

k = 2/3

4) z is directly proportional to cube of d.

⇒ z ∝ d³

⇒ z = k × d³

Putting the values of d & z ,

⇒ 5 = k × 2³

⇒ 8k = 5

k = 5/8

5) Total Surface Area (SA) is directly proportional to square of the sides (s).

⇒ SA ∝ s²

⇒ SA = k × s²

Putting the values of SA & s ,

⇒ 96 = k × 4²

⇒ 16k = 96

k = 96/16 = 6

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles? *

Answers

Answer: 3.4%

Step-by-step explanation:

divide 258 and 74 then round that answer to the nearest tenth place.

Answer:  28.7%

Step-by-step explanation:

74 ÷ 258 = 0.2868

0.2868 --->  28.68  --->  28.7%

Mike paid $300 to join a gym, for one year, including a membership fee of $60. What is the monthly cost? Write
and solve an equation. Let m represent the monthly cost.

Answers

Answer:

720

Step-by-step explanation:

60×12=720 so the monthly yearly coast would be 720

The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?

A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet

Answers

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

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