Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer 1

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer 2

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79


Related Questions

Solve this system of linear equations. Separate
the x- and y-values with a comma.
-2x = 8 - 6y
-15x = 21 - 6y

Answers

Answer:

Your solution is (-1, 1).

Step-by-step explanation:

-2x = 8 - 6y

-15x = 21 - 6y

Let's solve this through elimination.

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.

-15x = 21 - 6y

-1(-15x = 21 - 6y)

15x = -21 + 6y

Now we have a new equation in our system.

-2x = 8 - 6y

15x = -21 + 6y

Now, eliminate by performing each action given by the terms.

-2x = 8 - 6y

15x = -21 + 6y

___________

13x = -13

Divide both sides by 13 to isolate x.

x = -1

Now that we know x, plug it back into one of the original equations to find y.

-2x = 8 - 6y

-2(-1) = 8 - 6y

Multiply.

2 = 8 - 6y

Subtract 8 from both sides.

-6 = -6y

Divide both sides by -6.

y = 1

Your solution is (-1, 1).

Check your answer by plugging both values into one of the original equations.

-15x = 21 - 6y

-15(-1) = 21 - 6(1)

Multiply.

15 = 21 - 6

Add 6 to both sides.

15 = 15

Your answer is correct.

Hope this helps!

Answer:

(-1,1)

Step-by-step explanation:

-2x = 8 -6y *

-15x = 21 - 6y

Solve for -6y:

-6y = -8 - 2x *

-15x = 21 - 6y

Substitute the given value of 6y into second equation, you get:

-15x = 21 -8 - 2x

Solving this equation for x gets you:

x = -1

Substitute this value (x = -1) into the equation (-6y = -8 - 2x):

-6y = -8 - 2x (-1)

This provides y:

y = 1

A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?

Answers

Answer:

scale = 1 in: 5 ft

         = 1inch x 5 5/8  = 5.625

              5 ft x 5 5/8    28.125 ft

The actual height of the house is 28.125 ft

Please help me with this

Answers

Answer:

πr2

Step-by-step explanation:

Answer:

i think the answer is

Step-by-step explanation:

πr^2

I need help to find the value of X?

Answers

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

Which numbers are irrational?
144
18
149
45

Answers

B and C are irrational

A 40-inch piece of rope is cut into 4 equal pieces. How long is each piece in feet?

Answers

Answer:

10!

Step-by-step explanation:

Because 40*10= 4

and we all know 4/10=40 so there you go! Go succeed!

Answer: 5/6

Step-by-step explanation:

If you chose \(\frac{5}{6}\) foot, you are correct. If you chose 10 feet, you forgot to convert inches to feet. If you chose 1 foot, you thought that there were 10 inches in a foot. If you chose \(\frac{1}{10}\)foot, you wrote 1 over the number of inches because you were unsure how to write fractions in terms of feet.

can someone help me solve for x

Answers

Answer: Possibly -4

Step-by-step explanation:

But wait for others to check I’m not fully sure

Yeah it’s -4. Have a good day.

Write the equation of the graph

Answers

Answer:

x + 2y - 5 = 0

Step-by-step explanation:

We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,

x intercept is 5 y intercept is 2.5

We can use the intercept form of equation as ,

=> x/a + y/b = 1

=> x/5 + y/2.5 = 1

=> x + 2y/5 = 1

=> x + 2y = 5

=> x + 2y -5 = 0 .

This equation can be verified by plotting the graph .[ Refer to attachment ]

Hence the equation of the line is x + 2y - 5 = 0 .

What is 7845 times 3000^[2] divided by 90+3^85×(2)

Answers

Answer: 7.1835091

Step-by-step explanation:

Henry is mixing concrete.To make
concrete he needs to mix cement,
sand and gravel in the ratio 4:3:1 by
weight. Henry needs to make 120 kg
of concrete. He has 65 kg of cement,
40 kg of sand and 15 kg of gravel.
Which ingredient is Henry short of?

Answers

Answer:

Sand

Step-by-step explanation:

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day

Answers

Answer:

82

Step-by-step explanation:

Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x

The total cost of all the tickets would be:

6.2(142 - x) + 9.9(x) = 1183.80

Simplify and solve

3.7x + 880.4 = 1183.8

3.7x = 303.4

x = 82

So, the answer is 82 tickets.

1 +1
Deedederffetfrerggrrrggtrrttt

Answers

Answer:

11 or 2, it depends on how you think abt it

Answer:

2

Deedederffetfrerggrrrggtrrttt

Two analysts are going to compute confidence intervals for the unknown population mean lifetime of batteries being used in a particular brand of cellphones. The 1st analyst selects a random sample of batteries and computes a 95% confidence interval that has a margin of error of .85 hours. The 2nd analyst selects a random sample of batteries and computes a 99% confidence interval that has a margin of error of .70 hours. Both samples have the same standard deviation of 4 hours. Which analyst will have a wider interval

Answers

Answer:

Due to the higher margin of error, the 1st analyst will have a wider interval.

Step-by-step explanation:

Width of a confidence interval:

The width of a confidence interval is twice its margin of error, meaning that the sample with the largets margin of error will be wider.

1st analyst:

Margin of error of 0.85, so width of 0.85*2 = 1.7

2nd analyst:

Margin of error of 0.7, so width of 0.7*2 = 1.4

Which analyst will have a wider interval?

Due to the higher margin of error, the 1st analyst will have a wider interval.

Help me pls ?????!!!!

Answers

Answer:

30=6j

j=5

hope it helps .......

Simple, the equation is j + j + 4j = 30

Then combine like terms
(j + j + 4j) = 30
6j = 30
6 6
(Divide both sides by 6)
j = 5

The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Suppose the association decided to conduct a test of hypothesis using the following null and alternative hypotheses:
H0: p = 0.6
HA: p > 0.6
Define a Type II Error in the context of this problem.
A.They conclude that more than 60% of the association wants a name change when, in fact, that is not true.
B.They conclude that exactly 60% of the association wants a name change when that is, in fact, true.
C.They conclude that more than 60% of the association wants a name change when that is, in fact, true.
D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.

Answers

Answer:

D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.

Step-by-step explanation:

Type 2 error results in a statistical analysis when a false null is incorrectly accepted.

The hypothesis Given :

H0: p = 0.6

HA: p > 0.6

The null in this context is that, the percentage of members who wants a name change is 60% ; while the alternative is that more than 60% wants a name change.

In this context, accepting a false null means Making a conclusion that exactly 60% wants a name change while it is actually FALSE.

A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.(b) Write down an integral for the fluid force on the side of the tank.(c) How would your answer to part (a) change if the tank was on its side

Answers

Answer:

a.  71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b.  23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

Step-by-step explanation:

.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from  y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

.(b) Write down an integral for the fluid force on the side of the tank

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So.  F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy    since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

.(c) How would your answer to part (a) change if the tank was on its side

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh  where r = radius of tank, d = diameter of tank = 12 ft. and h =  height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

The width of a golden rectangle is 4 cm. Find the length of the rectangle to the nearest tenth of a centimeter. (Remember the golden ratio, 1.618.)
2.5 cm
6.5 cm
8 cm
13 cm
5.6 cm

Answers

Answer:

6.47

1.618 x 4 = 6.47

Step-by-step explanation:

Answer:

The length of golden rectangle is 6.5 cm.

Step-by-step explanation:

Definition of golden rectangle

The Golden Rectangle, also known as the perfect rectangle by some, is a rectangle with the Golden Ratio as its length to width ratio. Many people consider this to be one of the most visually appealing geometric shapes. Many works of art and architecture contain it.

Given the width of golden rectangle= 4 cm

and the golden ratio= 1.618

The golden ratio is the ratio of length and width [tex]l/b=1.618[/tex]

[tex]l=1.618*b\\=1.618*4\\=6.472 cm[/tex]

Now length of the rectangle is up to nearest tenth point=6.5 cm

Hence the length= 6.5 cm

To know more about golden ratio go to given link

https://brainly.com/question/23450854

#SPJ2

PLZ HELP I SHALL GIVE BRAINLIESST

Answers

answer: 1180 m

fjdjdjdjdjcj random letters, work in picture

Answer:

610m^2

Step-by-step explanation:

break the polygon into two rectangles as shown in attachment

I have labeled the new length A

A = 50 - 18

A = 32 m

area of rectangle 1 = l x w

= 5 x 32

= 160m^2

area of rectangle 2 = l x w

= 18 x 25

= 450 m^

area of polygon = rectangle 1 + rectangle 2

= 160 + 450

= 610m^2

URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

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

Osa is trying to estimate V8. So far she has 2.8, but she wants one more digit to make it more accurate. What value would you add to Osa's estimate of V8? How can you tell that your estimate is more accurate than Osa's
[tex] \sqrt{8} [/tex]
[tex]2.8[/tex]
?​

Answers

The rating is v8 12 for this question

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

A

Step-by-step explanation:

Answer:

it is A because the shape is the same and is just facing a different way

Step-by-step explanation:

Solve for z.

z
7
= 8


z =

Answers

I’m assuming the question is z7 = 8 ; in that case z= 8/7

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

z=0,7√8

Decimal Form:

z=0,1.34590019…

Hope this helps!

Have a great day!

- Hailey : )

19 less than 28
Write as a algebraic expression

Answers

Answer :

Choice A ) 28 - 19

Answer:

A

Step-by-step explanation:

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4

Answers

Answer:

[tex]x < -4[/tex]

[tex]-4 > x[/tex]

Step-by-step explanation:

Given

Description of number line

Range: -6 to 2

Open circle on -4

Left shaded

Required

Select the number line

From the question, we understand that the left side of the number line is shaded.

This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]

Also, the open circle on -4 means that we discard [tex]\le[/tex].

So, the inequality is:

[tex]x < -4[/tex]

The opposite of the above inequality is:

[tex]-4 > x[/tex]

Answer:

A, D.  

Step-by-step explanation:

good luck with edge :)

Can you pleaseee help me I beg u !


Answers

It’s C :)
I need to get to twenty characters so

Answer:

[tex]x < - 7[/tex]

the answer is option C

Ms. Medina gives 9 students each 3 Jolly Ranchers. Then she divides
the rest of the Jolly Ranchers in her bag up between those 9 students.
if she started with 72 Jolly ranchers, how many extra Jolly Ranchers
did she give them?

Answers

Answer:

45

Step-by-step explanation:

9 × 3 = 27

started with 72

72 - 27 = 45

If tan θ=1/4 and cos θ≤0, find the exact value of sin x

If you can answer this soon that would be great.

Answers

Answer:

Step-by-step explanation:

Tan(theta) = Sin(theta) / cos(theta)

1/4 = sin(theta) / sqrt(1 - sin^2(theta) )    Cross multiply

sqrt(1 - sin^2(theta)) = 4*sin^2(theta)      Square both sides.

1 - sin^2(theta) = 16 * sin^4 (theta)         Transfer the left side to the right side.

0 = 16 sin^4(theta) + sin^2(theta) - 1

Use the quadratic formula to find a value for sin^2(theta)

a = 16

b = 1

c = - 1

I'll leave solving the quadratic to you.

There are two answers

sin^2(theta)= .22069

The other root is - 0.28 which you cannot use.

Sin(theta) = +/- 0.4698

Cos(theta) is < 0 in quads 2 and 3

So sin(theta) is positive in quad 2

and sin(theta) is minus in quad 3

If you rotated the shape around the line, which three-dimensional figure would be formed?
O A cone
O B. sphere
O C. cylinder
D. pyramid

Answers

Answer:

c cylinder

Step-by-step explanation:

Cone with a 3 dimensional figure

whar are the correct points

Answers

Hopes this helps:

Answers:

A: 3,3
B: -3,4
C: -1,-2
D: 5,-4

Please mark as brainlist.

Can someone help a friend

Answers

Answer:

acute triangle

Step-by-step explanation

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZ

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