You are at a festival and notice a lady is making winter wear by knitting. She sells five hats and three scarves for a total cost of $99 while three hats and five scarves cost $85. What is the cost of one hat and one scarf

Answers

Answer 1

Answer:

Cost of Hats = $15

Cost of Scarves = $8

Step-by-step explanation:

Let

Cost of Hats = x

Cost of Scarves = y

5x + 3y = 99 (1)

3x + 5y = 85 (2)

Multiply (1) by 5 and (2) by 3

25x + 15y = 495

9x + 15y = 255

Subtract

25x - 9x = 495 - 255

16x = 240

Divide both sides by 16

x = 240 / 16

= 15

x = $15

Substitute x = 15 into

5x + 3y = 99

5(15) + 3y = 99

75 + 3y = 99

3y = 99 - 75

3y = 24

y = 24/3

= 8

y = 8

Cost of Hats = $15

Cost of Scarves = $8


Related Questions

What is the inverse of the function f(x) = 4x+8?

Answers

Answer:

(x-8)/4=y

Step-by-step explanation:

f(x)= 4x+8

y=4x+8

y-8=4x

(y-8)/4=x

(x-8)/4=y

Plz answer this im going to fail the semester :(

Answers

                                         Answer and Explanation

__________________________________________________________

The solution of the equation is 20. ( The value of x. )

__________________________________________________________

The value of x is 20.

We can figure this out by...

__________________________________________________________

[tex]\frac{3x}{5}-x=\frac{x}{15}-\frac{28}{3}[/tex] but what does x equal?

[tex]\frac{3\cdot20}{5}-20[/tex] = [tex]-8[/tex]

[tex]\frac{20}{15}-\frac{28}{3}[/tex] = [tex]-8[/tex]

Since both are equal to -8, that means [tex]\frac{3\cdot20}{5}-20[/tex] = [tex]\frac{20}{15}-\frac{28}{3}[/tex].

Which means that...

x = 20

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Yellow Bird's flight path can be modeled by the quadratic equation y = -x2 +14x-24

Answers

Answer:

(x-4)(x-3)

Step-by-step explanation:

quadratic equation is always squared so I will squared it myself

PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA

Answers

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

3÷x-1+2÷x-3=2/x
solve in quadratic equation​

Answers

hsjsudiejejfjnfkekek

orrect
Question 12
Rectangle has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
Rectangle B is a scaled copy of Rectangle A. What is the scale factor?
Select all equivalent answers.
1.25
4/5
5/4
20.8
11/4

Answers

Answer:

1.25

5/4

1 1/4

Step-by-step explanation:

The dimensions of rectangle A are L=12 and W=8. The dimensions of rectangle B are L=15 and W=10.

We are told rectangle B is a copy of rectangle A, thus we must find the scale factor by dividing both dimensions:

15/12=5/4

10/8 =5/4

Dividing 5/4 we get 1.25.

Converting 5/4 to mixed fraction: 5/4= 1 1/4

There are three valid selections:

1.25

5/4

1 1/4

Please help whats a,h,k??

Answers

9514 1404 393

Answer:

  a = -2, h = 2, k = 1

Step-by-step explanation:

Compare the expressions. Match one pattern to the other.

  [tex]f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1[/tex]

__

The transformations are ...

  Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.

  Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.

A table and graph are shown in the attachment.

At a Christmas party,40 people wore a grinch or elf costume. If there were 50 people at the party and 10 were dressed as the grinch, what percent were wearing an elf costume ?

Answers

Answer:

Percent [wearing elf costume] = 60%

Step-by-step explanation:

Given:

Total number of people = 50

Grinch or elf costume = 40

Grinch costume = 10

Find:

Percent [wearing elf costume]

Computation:

Percent [wearing elf costume] = [Grinch or elf costume - Grinch costume] / Total number of people

Percent [wearing elf costume] = [40-10] / 50

Percent [wearing elf costume] = [30] / 50

Percent [wearing elf costume] = 60%

need this, please. real fast

Answers

Answer:

9

Step-by-step explanation:

(5x-4)+(6x-5)=90 degrees, because complementary angles add up to 90 degrees. So, 11x-9=90, 11x=99, then x=9.

A plumber charges a service charge of $20 plus $15 per one-half hour of work. the cost to hire the plumber is given by the function f(x) = 15x + 20, in which f(x) represents the cost and x represents the number of one-half hours the plumber works. If the Jackson family has $200 to spend on the water leak repair, what is the maximum number of hours the plumber can work to repair the leak?

Answers

Answer:

Veg=156

Step-by-step explanation:

I just did the mat

- One of a triangles vertices is at Point A (4, -6). This triangle is transformed according
to the notation (x,y) → (x,-y+2)
What will be the coordinate of Point A ?


I need an answer ASAP! Pls help

Answers

Answer:

The new coordinates of point A would change as follows:

(4, -6) → {4, -(-6) + 2} = (4, 6 + 2) = A' → (4, 8)

The new coordinates for point A are (4, 8).

Help ASAP!! Thank youuuuu

Answers

Answer:

c. [tex]1\leq x\leq 6[/tex]

Step-by-step explanation:

the domain is the set of all possible inputs of a function, in other words, all the x-values that make up the function. in this function, the first x-value is 1, and the function is continuous all the way up to 6, so, the domain would be the answer in c.

What is the solution set for -4x - 10 ≤ 2?

x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2

Answers

The answer is b
X > -3
Hope it helps

I’ll give the Brainliest to who answers my question and gives an reasonable explanation.

Thank you.

Answers

Answer:

second line plot

Step-by-step explanation:

It is the second line pot because...

d-4>-3

so what you do is you make it a equation

d-4=-3

you transfer the -4 to the other side by adding it on both sides

d=1

therfore d can 1 and any number above 1

I hope this helped

What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.

A. y = 1.383x + 1.526

B. y= -1.526x - 1.383

c. y = 1.383x - 1.526

D. y = -1.526x + 1383​

Answers

Answer:

d

Step-by-step explanation:

it is really simple if you think about it or maybe I'm wrong

The line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

As we know, the regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have data shown in the table:

We can find the line of best fit by the formula.

Let y = mx + c

m is the slope of the line of best fit and the y-intercept is c.

After calculating:

m = 1.383

c = -1.526

y = 1.383x - 1.526

Thus, the line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ5

The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number​

Answers

Answer:

32 is the

number

Step-by-step explanation:

PLEASE HELP ME ASAP :)))))))))
does this have one solution, multiple, or infinite? PLEASE SHOW WORK
2x + y = 5
y = -4 -2x

Answers

Answer:

(1) x= −1 /2 y+ 5 /2

(2) x= −1 /2 y−2

Step-by-step explanation:

(1) 2x+y=5

Step 1: Add -y to both sides.

2x+y+−y=5+−y

2x=−y+5

Step 2: Divide both sides by 2.

2x /2 = (−y+5)/2  

x= −1 /2 y+ 5 /2

(2) Step 1: Flip the equation.

−2x−4=y

Step 2: Add 4 to both sides.

−2x−4+4=y+4

−2x=y+4

Step 3: Divide both sides by -2.

−2x /−2 = (y+4) /−2

x= −1 /2 y−2

PLS HELP WILL GIVE BRANLIEST

Answers

answer;
A) y=8x
step by step explain action;
48 = 8(6)
48=48

Answer:

A. y = 8x

Step-by-step explanation:

y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:

y = 8x

i’m putting my faith in you guys my course ends tommorow

Answers

Answer:

A

Step-by-step explanation:

distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x

combind like terms --> 12x + 6 = 6x + 24

subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18

subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18

divide both sides by 6 to get what x equals --> x = 3

-7 <= x+2/4
solve the inequality

Answers

Step-by-step explanation:

do you mean ≤ if so check this solution out

-7≤x+2/4

find the LCM of X+2/4

LCM=4x+2 /4

-7≤4x+2/4

then you cross multiply

-28≤4x+2

collect like terms

-28-2≤4x

-30≤4x

X=-7.5

I hope it helps

the area of a small square is 25 square units what is the exact length in units of a single of a large square

Answers

Answer:

5

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.

The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
3 + 3 StartRoot 2 EndRoot ft
3 + 3 StartRoot 3 EndRoot ft
6 + 3 StartRoot 2 EndRoot ft
6 + 3 StartRoot 3 EndRoot ft

Answers

3 one tell me if am wrong that’s what my freind said

The perimeter of the isosceles right triangle is P = 6 + 3√2 feet

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the isosceles triangle be represented as ΔABC

In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h² = 3² + 3²

h² = 18

Taking square roots on both sides , we get

h = 3√2 feet

The perimeter of the triangle is the sum of the lengths of its sides:

Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet

Hence , the perimeter is 6 + 3√2 feet

To learn more about isosceles triangles click :

https://brainly.com/question/1900674

#SPJ7

2(x + 4) = 4x + 3 – 2x + 5

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

2(x + 4) = 4x + 3 - 2x + 5

Step 2: Solve for x

Distribute 2:                              2x + 8 = 4x + 3 - 2x + 5Combine like terms:                 2x + 8 = 2x + 8Subtract 8 on both sides:        2x = 2xDivide 2 on both sides:            x = x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions

Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.

crickets and
grasshoppers

Answers

Answer:

Arielle has 374 grasshoppers and 187 crickets

Step-by-step explanation:

Let's set:

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, thus:

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, thus:

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying:

3y = 561

Dividing by 3:

y = 561/3

y = 187

From [2]:

x = 2*187 = 374

x = 374

Arielle has 374 grasshoppers and 187 crickets

Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?​

Answers

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

PLS I NEED YOUR HELP AND I REALLY NEED THIS DONE CAN YOU GUYS DO THIS FOR ME I'LL BRAINLIEST. use the quadratic formula to find the equation. 3x^-10x+5=0
A. 10±√40/6

B. 2±√24/2

C. 1±√35/2

D. 5±√15/3

Answers

Answer:

my answer is (5±√10)/3

A

Formula= (-b+-√b²-4ac)/2a

Plug in the numbers based on ax²+bx+c


((-10)+-√(-10)²-4(3)(5))/2(3)

=(10+- √40)/6


Find an equation of the line that passes through (3,10) and is parallel to the line x-3y=1

Answers

Answer:

x - 3y = -27

Step-by-step explanation:

Two parallel lines have equations of the same form; only the constants differ.

Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.

Substituting 3 for x and 10 for y in x - 3y = C, we get    3 - 3(10) = C, or

3 - 30 = C.  Thus, C = -27 and the desired new line is    x - 3y = -27.  

-27...............sidoofkendff

11 + 16 + 4 = ????????????

Answers

Answer:

31! :D

Step-by-step explanation:

(My discord: TheDiamondDuck #9036)

If you want to join you can,

Good luck!!

God Bless!!

~DuffyDuck~

Which number is greatest?
O 2.89 x 10
O 1.997x102
O 8.9x104
O 5x10

Answers

Answer:

c

Step-by-step explanation:

you just multiply in the calculator

Hi It would mean everything if you could help me on this. Thanks!

Answers

Answer:

False

Step-by-step explanation:

hope this helps!

The answer should be False!
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