At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Write an equation that represents the total yards of fabric.

Answers

Answer 1

Answer:

Answer:

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

x + y = 4.25

16.90x + 4y = 36.35

1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.

2.

x + y = 4.25 (1)

16.90x + 4y = 36.35 (2)

Multiply (1) by 4

4x + 4y = 17 (3)

16.90x + 4y = 36.35 (2)

Subtract (3) from (2)

16.90x - 4x = 36.35 - 17

12.90x = 19.35

Divide both sides by 12.90

x = 19.35 / 12.90

= 1.5

x = 1.5 yards

Substitute x = 1.5 yards into (1)

x + y = 4.25

1.5 + y = 4.25

y = 4.25 - 1.5

= 2.75

y = 2.75 yards

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:


Related Questions

Distributive Property Practice
Remember: Multiply BOTH pieces inside the parentheses by the number outside of the parentheses.

4(3x+ 2)



3(7y-1)



5(3p + 4r)



3(2w - 5y)



10(10e + 7g)



8(2b + 5)



7(c + 7)



9(6a +x)

Answers

Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

help!! please if can i need answer

Answers

The answer is C

I think it is

Which expressions are equivalent to
K/2
?

Answers

Answer:

Your answer would be k+k because you're adding a number by itself which is the same as multiplying by 2

Please help me I need the answer ASAP

Answers

Ok I THINK (you may have to double check answers, I haven’t done this in a while.

X= 8

AB= 9

BC=18

AC=27

How did I get this?
To find X;
2(2x-7)=3x-6
4x-14=3x-6
X=8

To find AB;
2(8)-7
16-7
9

To find BC;
3(8)-6
24-6
18

To find AC;
[2(8)-7]+[3(8)-6]
(16-7)+(24-6)
(9)+(18)
27

solve for x pls help

Answers

Answer:

3

Step-by-step explanation:

simple

-12n + 3(n +
36)


Please helppp

Answers

Answer:

-9n+108

Step-by-step explanation:

-12n+3(n+36)

-12n+3n+108

-9n+108

Answer:

-9n+108

Step-by-step explanation:

distribute then combine like terms

write these sentences as an inequality.
1. eighteen is less than 2 times the sum of a number and 6.
2. five plus the quotient of a number and -1 is greater than 0.

Answers

1.) 18< 2x+6
2.) 5+x divided by -1 >0

Write the negation of the following statement.
An obtuse angle measures 85°.
Choose the correct answer below.
A. An obtuse angle does not measure 85º.
B. An obtuse angle measures greater than 90°.
C. An acute angle measures 85º.
D. An acute angle does not measure 85°

Answers

Answer:

B. An obtuse angle measures greater than 90°.

Step-by-step explanation:

An obtuse angle measures 85°.  

It is incorrect as obtuse angle is greater than 90°

Correct answer

B. An obtuse angle measures greater than 90°.

I NEED HELP! with these 5, & 7?

Answers

Answer:

5 is -20

7 is -5

Answer:

[tex]5. \: -8/ -2 × -5 = -20[/tex]

[tex]7. \: \\ -25/5 × -40/8 = - 25[/tex]

[tex]have \: a \: safe \: life[/tex]

A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
plz help

Answers

Answer:

121cm −25πcm ≈42.46cm

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.

HELP PLEASE!!!!
Ray created the list of factors for 48 below
43 1,2,3,4,6,7,8, 12, 16, 24,48
Which number should be removed from his list to make the list accurate?
10

Answers

Answer:

7

Step-by-step explanation:

7 is not a factor of 48, since 7 can not be multiplied by another whole number to get 48. (48 divided by 7 is 6.8)

Answer:

7

Step-by-step explanation:

Two numbers multiply to -24 and add up to -5

Answers

Answer:

-8 and 3

Step-by-step explanation:

The asked numbers are -8 and 3.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

Learn more about equations, click;

https://brainly.com/question/29657988

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Also this one!
And without you guys I would fail lol so thank you <33

Answers

Answer:

Charlotte is right; m=1/3

Step-by-step explanation:

On the graph, you can pick 2 points to find slope with slope formula:

(y2-y1)/x2-x1)

Two points we can choose from the graph are (0,0) and (1,3).

Now we plug these into our formula:

(1-0)/(3-0)

1/3

HTH :)

Use the following coordinate plane to write the ordered pair for each point .
A (,)
B(,)
C(,)

Answers

Answer:

A(-4.5,-3), B(0,2), C(4,1)

Step-by-step explanation:

u just look at their positoions and u go to left side or right side first, then up or down.

left and down are negative.

right and up are positive.

Civil engineers are designing a section of road that is going to dip below sea level. The road's curve can be modeled by the equation y = 0.00005x2 - 0.06x, where x is the horizontal distance in feet between the points where the road is at sea level and y is the elevation. The engineers want to put stop signs at the locations where the elevation the road is equal to sea level. At which horizontal distances will they place the stop signs?

Answers

Answer:

1200feet

Step-by-step explanation:

Given the the road's curve elevation modeled by the equation

y = 0.00005x^2 - 0.06x,

x is the horizontal distance in feet between the points where the road is at sea level and;

y is the elevation

The elevation the road is equal to sea level when y = 0

Substitute y = 0 into the equation and calculate x;

0 = 0.00005x^2 - 0.06x

0.06x = 0.00005x^2

0.06 = 0.00005x

x = 0.06/0.00005

x = 1200 ft

Hence they will place the stop sign at a horizontal distance of 1200feet

please help with the 2 questions ive attached, i dont understand it at all

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Consider the denominator

To obtain 5xy from x , multiply by 5y

Thus numerator is multiplied by 5y, that is

[tex]\frac{1}{x}[/tex] = [tex]\frac{5y}{5xy}[/tex]

(b)

Consider the numerator

To obtain 5ab² from ab, multiply by 5b

Thus denominator is multiplied by 5b, that is

[tex]\frac{ab}{2c}[/tex] = [tex]\frac{5ab^2}{10bc}[/tex]

how do i figure this out?

Answers

the answer is  34

in order to find answer:

enter tan^-1( 2/3 into calculator

2 is on oppisite side and 3 is on adjacent so we use tan = o/a

En mi familia tres primos cumplimos años el mismo día y la abuela quiere regalarnos dinero a los tres para que nos compremos lo que deseamos.Sin embargo,a cada uno nos gustan cosas de diferentes precios,yo deseo gastar el dinero en un día de salida al cine y comer en algún restaurante,para lo cual mi abuela me dio 2 veces mas que el dinero que le dio a reiner;mientras que julio quiere un reloj y recibió cuatro veces lo que recibió reiner.El más pequeño de todos es reiner,el quiere dos juegos de xbox ¿que cantidad de dinero nos dio la abuela a cada uno por los cumpleaños, si en total por los tres sumaron $6000?

Answers

Answer:

Tu recibiste = $1714,3  

Reiner recibió = $857,1

Julio recibió = $3428,6

Step-by-step explanation:

Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:

[tex] A + R + C = 6000 [/tex]

Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:

[tex] 2R + R + 4R = 6000 [/tex]

[tex] R = \frac{6000}{7} = 857,1 [/tex]

Ahora, podemos encontar cuanto recbieron los otros dos primos:

[tex] A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 [/tex]

[tex] C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 [/tex]

Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.  

     

Espero que te sea de utilidad!                

simplify the expression:
(x^3y^n/z^m+1)^k

Answers

3yxnzmk/z+ k, I’m pretty this is it since there were no other numbers:)

HURRY GETTING TIMED Which values are two of the possible solutions to the equation?

Which values are two of the possible solutions to the equation?

Sine (5 x minus pi) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, 0 less-than-or-equal-to x less-than 2 pi

Left-brace StartFraction pi Over 20 EndFraction, StartFraction 3 pi Over 20 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 20 EndFraction right-brace
Left-brace StartFraction 5 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace

Answers

The possible values of the solutions to the equations are; (π/4, 7π/4)

How to solve trigonometric equations?

We are given the equation;

sin(5x - π) = (√2)/2

Now, (√2)/2 is also expressed as 1/√2.

Thus;

sin(5x - π) = 1/√2

5x - π = sin⁻¹(1/√2)

5x - π = π/4

5x = π + π/4

5x = ⁵/₄π

Thus;

x = π/4

Now, since x < 2π, then it means it is in the fourth quadrant. Thus;

x = 7π/4

Read more about Trigonometric Equations; https://brainly.com/question/1687218

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what is a commission​

Answers

Answer:

Commission-An instruction/command given to a person or group of people.

Answer:

It’s basically an instruction, command, or role given to a person or group.

Step-by-step explanation:

Mr.Smith saved $15 by buying a tool at a 10% discount. What was the original price for the tool?

Pls i'll mark brainliest i beg you ppl i need the answer in a couple min.

Answers

Answer:

$150

Step-by-step explanation:

Well we know that 10% is going to equal 1/10 of 100%.

So now just multipy 15% times 10 to get the original price.

10 percent of 150 is 15 so the answer is 150

i have so much work and im am sad plz help me for geometry or I'm going to fail

Answers

This is algebra 1 or 2...

Answer: First option, “22”

Step-by-step explanation:

Can you please check if this is correct

Answers

Answer:

here it is

Step-by-step explanation:

hope you understand

whats 9+10? correct answer gets brainliest

Answers

Answer:

21

Step-by-step explanation:

What are the slope and y-intercept of the line 3x – 2y = 12?

Answers

Answer:

Slope: 3/2

Y-intercept: (0,-6)

Step-by-step explanation:

Use the slope-intercept form y=Mx+b to find the slope m and y intercept b.

2) Find m2FGH if m_FGB = 105°
and mZBGH = 54º.

Answers

Answer:

159°

Step-by-step explanation:

Angle addition postulate:

∠FGB + ∠BGH = ∠FGHm∠FGH = 105° + 54° = 159°
Given:

angle FGB = 105°

angle BGH = 54°

To Find:

The measure of angle FGH.

Explanation:

angle FGB + angle BGH = angle FGH

By putting the respected values, we get

105° + 54° = angle FGH

or, 159° = angle FGH

Answer:

The measure of angle FGH is 159° .

PLEASE HURRY! WILL GIVE BRAINLEST TO THE BEST ANSWER!

How do i get the equation: 2x+3y=1,470 to slope intercept form. please provide steps :))

Answers

Answer:

y= -2 +490

3

Step-by-step explanation:

y=mx+b is the slope intercept form of a like where m is the slope and b is the y intercept

Answer:

y=-2/3x+490

Step-by-step explanation:

As we know the formula for slope intercept form would be y=mx+b

therefore we arrange our numbers in the following manner:

First subtract 2x from 2x so it'll be like 2x-2x and they cancel each other out so keep that in mind, now what you do on one side you have to do it on the other side as well therefore you'll putt -2x on the other side now we are left our equation as 3y=1,470-2x

Second, as we want our form to be slope intercept form I believe that y should be by it self and to do that you need to divide 3 from y, now remember that what you do on one side you have to do it on the other. So you'll divide 3 from all the numbers on the other side. Now on the other side we have 1,470-2x so we will divide 1,470/3=490 and -2x/3 now we are left with y= 490-2/3x ( i left -2/3x as that because dividing makes it a decimal and a decimal and the fraction has the same value so I just left it as a fraction)

Thirdly, sense we want our equation as a slope intercept form we will need to rearange our equation which we need to keep in mind the form which is y=mx+b so that makes it to our answer y=-2/3x+490

Hope this helps :)

PLZ HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!
Which of the following statements is not true?
|-2.2| > |2.1|
0.6 > -4.1
-7.4 < -5.2
|-1.5| < 0

Answers

Answer: D.

Step-by-step explanation:

The last statement is false.

Answer:

1 is false.

Step-by-step explanation:

1. Look at the signs.

2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.

3. Compare the decimal in the number to the decimal in the other number.

4. Look at the greater-than and less-than signs.

5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.

Graph the inequality below on a number line
[tex]x < - 2[/tex]

Answers

U would mark -3 and draw a line going left with a arrow to indicate every number beyond -3 is a possible answer
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