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Slav-nsk [51]
3 years ago
13

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.
Mathematics
1 answer:
rewona [7]3 years ago
7 0

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:

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Answer:

1. Two point perspective view

The points A and B represents vanishing points where the sets of parallel lines representing the edges of the building converges

2. One point perspective view

The view shows the drawing of the building by lines that are parallel to the line of sight of viewer that converges to a (vanishing) point

Step-by-step explanation:

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3 years ago
10 points :) Thanks sm! (attached below)
givi [52]

Answer:

Average : 10,724.2857 miles

Step-by-step explanation:

To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -

\frac{10150+10211+10424+10769+10884+11155+11477}{7}

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3 0
3 years ago
Find the measure of angle 5. Will someone please help me. I have to answer this one question before I can move on to another one
kap26 [50]

The measure of angle 5 is 75°.

<u>Step-by-step explanation</u>:

Properties of intersecting lines :

  • The angles formed opposite to each other at the point of intersection are called vertically opposite angles.
  • These vertically opposite angles are congruent (same).

step 1 :

From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.

-9x-12 = 6x+183

⇒ -9x-6x = 183+12

⇒ -15x = 195

⇒ x = -(195/15) = -13

step 2 :

Substitute x= -13 in the angle (-9x-12)

⇒ (-9x-12) = -9(-13)-12

⇒ 117 - 12 = 105°

step 3 :

<em>The measure of angle in a line is supplementary (180°)</em>.

<em>Let angle 5 be unknown value "a"</em>.

Then, angle (-9x-12) + angle a = 180°

⇒ 105° + a = 180°

⇒ a = 180 - 105

⇒ a = 75°

∴  The measure of angle 5 is 75°

7 0
3 years ago
A sphere has a volume of 133.1m what is the radius of the sphere
Kay [80]

Answer:

3.167353103 meters

Step-by-step explanation:

The volume of a sphere can be found using:

v=4/3πr^3

We know that 133.1 is the volume, so we can substitute 133.1 in for v

133.1=4/3πr^3

To solve for r, we need to get by itself. First, divide both sides by 4/3π

133.1/ 4/3π= 4/3πr^3/ 4/3π

31.7752843883=r^3

Since r is being raised to the 3rd power, take the cubed root of both sides

\sqrt[3]{31.7752843883}=\sqrt[3]{r^3}

3.167353103=r

So, the radius is 3.167353103 meters

4 0
3 years ago
The couch in your living room is old. You decide to recover the couch cushions with new fabric instead of buying a new couch. Th
alexgriva [62]

Answer:

$36.25

Step-by-step explanation:

Surface area: 2*l*w+2*w*h+2*h*l

2*2*2.5+2*2.5*0.5+2*0.5*2

10+2.5+2

14.5 sq. ft.

14.5*2.50=36.25

6 0
3 years ago
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