Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?

Answers

Answer 1

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

Answer 2

The number of hats bought by John are 3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

Hats cost $4 each while scarves cost $3 each

John buys 5 items and spends a total of $17.

We need to find the number of hats.

3x+4y=17..(1)

x+y=5..(2)

x=5-y

Subtract x value in equation 1

3(5-y)+4y=17

Apply distributive property

15-3y+4y=17

15+y=17

Subtract 15 on both sides

y=2

x+2=5

x=3

Hence, the number of hats bought by John are 3

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Related Questions

Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

Answers

Answer:

So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).

Step-by-step explanation:

All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.

It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.

9514 1404 393

Answer:

  make use of the ways similarity can be shown

Step-by-step explanation:

Similarity of triangles can be shown two (2) ways:

corresponding angles are congruentcorresponding sides are proportional

__

In a worksheet like this, you may see several kinds of problems. The keys will be ...

the parts that you claim are proportional or congruent must be correspondingthe sum of angles in a triangle is 180°.

__

When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.

Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.

__

Further discussion on working these problems

If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.

Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.

For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.

__

For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.

0.2-0.3 what is the midpoint?

Answers

Answer:

0.25

Step-by-step explanation:

5x - 12=18
Solve for x

Answers

X=6
Pls mark brainliest

Answer:

x = 6

Step-by-step explanation:

Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6

I hope this helps!

a=
b=
c=
d=
e=
f=
g=
h=
i=
j=
?

Answers

I only know that j is 42 sorry that’s too hard for me

What is the slope of the line y=-4

Answers

Answer:

slope is 0

Step-by-step explanation:

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0

the sum of 8 and 7 double​

Answers

Answer: 30

Step-by-step explanation:

(8+7) x 2

= 15 x 2

= 30

The answer is going to be 30

Ashley is making cookies. The recipe calls for ¾ of a cup of sugar. She needs to make five batches of cookies. How many cups of sugar does Ashley need?

Answers

Answer:

3 3/4

Step-by-step explanation:

3/4×5

15/4

simplify

3 3/4

Answer:

Ashley needs [tex]3\frac{3}{4}[/tex] cups of sugar

Step-by-step explanation: 3/4 multiplied by 5 is 3.75 or 3 3/4

Find the measure of the indicated angle.

Answers

Answer:

I believe it could be 25

Step-by-step explanation:

Eight angle = 90

1. 38 + 27 = 65

2. 90 - 65 = 25

I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7

Geometry practice book

Answers

Answer:

what about it ?

Step-by-step explanation:

What is it about ?

Explanation:

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5
lb of steak?

Answers

Answer: The answer is $15.86

Step-by-step explanation: You would change 6.10 into a fraction, which is 61/10. Then you would mulitply that and that number as a decimal would be 15.86.

Answer:

$15.86

Step-by-step explanation:

You divide 6.10 by 5 and you get 1.22 then u multiply 1.22 by 3 and you get 3.66 and add 6.10 and 6.10 and 3.66 to get your answer.

The length and width of a rectangle is (x + 5) and x, respectively.

Which statement best describes (x + 5)?
A.
The width of the rectangle is 5 times the length.

B.
The width of the rectangle is 5 more than the length.

C.
The length of the rectangle is 5 more than the width.

D.
The length of the rectangle is 5 times the width.

Answers

Answer:

the lenght of the rectangle is five more than the width

Is a true statement? |-9|=-9

Answers

this is a false statement. The absolute value is the distance away from 0 therefor the absolute value of -9 would be positive 9.

Dana graphs a point on a coordinate plane. The value of the x- coordinate of her is 5 more than the value of the y coordinate of her point. Which ordered pair could describe the point that Dana graphs.
A) (3,2)
B) (4,9)
C) (5,5)
D) (6,1)

Answers

The answer is c that what

Which of the following is a cost homeowners insurance does not protect?
a. The cost of repair or replacement of a home lost in a natural disaster.
b. Additional living expenses required while your home is repaired after a disaster.
c. Replacement costs for all contents in your home, including high cost electronics.
d. The cost of medical expenses incurred by somebody getting injured on your property.

Answers

Answer:

Replacement costs for all contents in your home, including high cost electronics. In my case it was C on edge

Step-by-step explanation:

The solution is, c. Replacement costs for all contents in your home, including high cost electronics,  is a cost homeowners insurance does not protect.

What is insurance?

Insurance is an arrangement by which a company or the state undertakes to provide a guarantee of compensation for specified loss, damage, illness, or death in return for payment of a specified premium.

here, we have,

Personal property replacement cost endorsement under her homeowners policy comes with limits of the policy that only covers insurance on replacement cost for structural damage and damages or loss of materials of similar kind and quality.

Some items such as art items, paintings, an antique chair, jewelry and collectibles are not usually listed in the policy contract except a scheduled personal property coverage is added to the Personal property replacement cost endorsement contract.

Therefore, from this question, The solution is, c. Replacement costs for all contents in your home, including high cost electronics,  is a cost homeowners insurance does not protect.

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The points (0.5,1/2) and (7,1 2/5) are on the graph of a proportional relationship what is the constant of proportionality name one more point on the graph write an equation that represents the proportional relationship​

Answers

Answer:

wait do you have a picture of a graph so i can understand more correcctly

Step-by-step explanation:

Which of the following is the best estimate of the measure of the angle the skateboard makes with the ground ?

Answers

Answer:

Correct choice: C. 74.5

Step-by-step explanation:

Trigonometric Ratios

In every right triangle (those who have an internal angle of 90°), the six trigonometric ratios are valid. They relate the other internal angles with the lengths of the triangle.

The skateboard, the wall, and the ground form a right triangle. We need to find the measure of the angle formed by the skateboard with the ground. Let's call it β. In a right triangle, the cosine of an angle is defined as

[tex]\displaystyle \cos\beta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

The adjacent leg of β is the side with length 8 in, and the hypotenuse is the length of the skateboard, 30 in, thus:

[tex]\displaystyle \cos\beta=\frac{8}{30}}=0.267[/tex]

Using a digital calculator we find:

[tex]\beta=\cos^{-1}(0.267)[/tex]

[tex]\beta=74.5^\circ[/tex]

Correct choice: C. 74.5

Please help with math, will give brainliest

Answers

Answer:

1; 31.2 2; 12.4 3; 30.8 4; 118.4 5; 16.53 (i ran out of time or else i wouldve finished, just use google for answers! ^_^)

done the rest, just Step-by-step explanation:

1.31
2.12
3.30
4.118
5.16
6.74
7.20
8.98

9.341

10.377

Luke has a board 5/6 of a yard long. He needs to cut the board into 5 equal sections.
Use the expression ____ to find the length of each section.
Each section is ___ yard long.

First person to answer gets 50 brainiest points!
Please I NEED this!!!

Answers

Answer:

the answer is 5/6 divided by 5 and 1/6

Step-by-step explanation:

Answer:

the answer is 5/6 divided by 5 and 1/6

Every​ quarter, the Food and Drug Administration​ (FDA) produces a report called the Total Diet Study. The​ FDA's report covers a variety of food​ items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in ​% of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable​ x, the number of food items found that showed no trace of pesticide. nothing ​(Type an integer or a​ decimal.)

Answers

Answer:

a) Mean = 600

Standard deviation = 12.24

B)No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide

Step-by-step explanation:

Total number of food items = 800

We are given that no pesticides were found at all in 75% of domestically produced food samples.

So, Probability of success = p = 0.75

Probability of failure = q = 1-p = 1-0.75=0.25

Now we are supposed to find [tex]\mu[/tex] and [tex]\sigma[/tex] for random variable x

a) Mean = E(x)= [tex]n \times p = 800 \times 0.75=600[/tex]

Standard deviation =[tex]\sqrt{npq}=\sqrt{800 \times 0.75 \times 0.25}=12.24[/tex]

b)Is it likely that you would observe fewer than half of the food items without any traces of pesticides ? Why or why not ?

No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide

find the quotiont463 divided by 6

Answers

Answer:

The answer is 77.1666666667

Step-by-step explanation:

If you use a calculator and type in 463 / 6 it will equal 77.1666666667

(/ = divide)

I hope this helped! :)

Need help rn will give brainlyest if correct answer with explaining
unit ratio

Answers

Answer: The cost per bag is $27

Step-by-step explanation:

Divide 135 by 5 = 27

Unit ratio means that if you know the rate per unit, you can calculate the cost by multiplying the constant rate by the number of units. In this question, the rate is $27 and the unit is the bag.

The ratio looks like

1:27 as 2:54 as 3:81 as 4:108 as 5:135

They are all equivalent to 1/27

y = 27x is another way of writing an equation for this ratio.

g(f(x)) easy hw question

Answers

Answer:

b

Step-by-step explanation:

-2x⁴-x³+2x²-6

hope this helps

What is the answer in a short sentence

Answers

Answer:

HI

Step-by-step explanation:

On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee

Answers

Answer:

each cup cost 1.25 on Tuesday

Consider the relationship between the words pine and tree Which answer choice contains a pair of words with the same relationship? A. book: title B. hook: instrument C. badger: animal D. head: scarf​

Answers

Answer:

Maybe it's C.

Step-by-step explanation:

Answer:

ti is  A BOOK TITLE

Step-by-step explanation:

Three consecutive integers add up to 258. What is the smallest integer?

Answers

Answer:

Answer the three consecutive integers are 85, 86 and 87. Taxicab number 1729 is the smallest integer that can be expressed as a sum of two positive integer cubes in 2 distinct ways.

Answer:

85, 86, and 87

Step-by-step explanation:

85 + 86 + 87 = 258

Brainliest Please???

HELP ME get the altitude!!!!!

Answers

Add them all together

You have been asked to order a three-layer cake for the party. In order to feed 75 people, the bakery gave you the following two options for the size of each layer:

Option 1: Option 2:

Layer 1 - 10-inch diameter Layer 1- 11-inch diameter

Layer 2 - 8-inch diameter Layer 2- 7-inch diameter

Layer 3 - 6-inch diameter Layer 3- 4-inch diameter

Each layer is shaped like a cylinder and will have a height of 4 inches. The bakery charges $0.50 per cubic inch of cake.

What is the total cost of cake Option 1?

What is the total cost of cake Option 2?

Must show work and formulas

Answers

Answer:

1-11-2-7-3-4-0.50 =-26.5

Step-by-step explanation:

teri works as a security guard at the local mall. Teris gross income is $2400. Teri can expect to pay 12% of her gross income for taxes. How much will she pay is taxes for the year.

Answers

Answer:

she is expected to pay $288 in taxes

Step-by-step explanation:

She is expected to pay 12% of $2400, that is: 0.12 * 2400 = 288

So she is expected to pay $288 in taxes for such income.

What is the quotient? 3/7 divided by 2/3

Answers

Answer:

3/7 divided by 2/3 is 9/14

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