The number of cell phones that employees at a factory can assemble is directly proportional to the number of hours the employees spend assembling cell phones. The employees can assemble 1,576 cell phones in 8 hours. If these employees continue to work at the same rate, how many cell phones will they assemble in 53 hours?​

Answer:

[tex]D=(20.42)(28.42)[/tex]

Step-by-step explanation:

From the question we are told that

Width [tex]W=24ft[/tex]

Length [tex]L=32ft[/tex]

She can afford to buy 560 square feet of carpeting

Let

[tex]S=width\ of\ strip[/tex]

Generally the Dimension of the rug is mathematically given as

Width of Rug [tex]W' = (24- 2S)ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

Generally the width of strip S is mathematically given by

[tex](32-2s)*(24-2s)=560[/tex]

[tex]-4s-112s+208=0[/tex]

[tex]s_1=-29.7\\s_2=1.748[/tex]

Therefore the width is

[tex]s=1.748[/tex]

Generally the dimension of the rug D is mathematically given as

Width of Rug [tex]W' = (24- 2s)ft[/tex]

[tex]W' = (24- 2(1.79))ft[/tex]

[tex]W' =20.42ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

[tex]L'= (32-2(1.79)) ft[/tex]

[tex]L'=28.42 ft[/tex]

Therefore dimension of Rug is given by

[tex]D=(20.42)(28.42)[/tex]

Answer:

m∠U = 36°

m∠V = 75°

m∠T = 69°

Step-by-step explanation:

(2x+14)+(6x+9)+(6x+3)=180

Combine like terms: 14x+26=180

Solve this equation: x=11

Use x=11 to find angles

∠U = 36°

∠V = 75°

∠T = 69°

You can add up all of these measurements to check. =180°

Answer:

Step-by-step explanation:

The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.

We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.

We set the three expressions together as equal to 180°.

6x + 3 + 6x + 9 + 2x + 14 = 180

Simplify

14x + 26 = 180

Subtract 26

14x = 154

x = 11

Now, we check our answer for x.

6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180

69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180

180 = 180 ✅

Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.

Answer:

The Correct Answer Is C

Step-by-step explanation:

For The triangles have the same angles which checks out and the side sides, if say you simplified the sides or whatever

Therefore, its C

Hope I Helps!

Answer:

Step-by-step explanation:

Given triangles A, B and C

Triangles A and C have congruent angles of 23° and 67° and similar sides with the scale factor of 3.

Triangle B is different, with angles 28° and 62°, therefore can't be similar to A or C.

Correct choice is C

Answer:

81

Step-by-step explanation:

sq rt 81 = 8.94

8.94 is between 8 and 9

20-8.94 = 11.06   rounds to 11

Answer:

Step-by-step explanation:

In terms of the scores we calculate the sum as:

The number is the sum of the frequencies:

Mean average score is:

Answer:

The value of each grocery store coupon is $6

Then the value of each drugstore coupon is $3.

Step-by-step explanation:

Let's define:

G = value of a grocery store coupon.

D = value of a drugstore coupon.

We know that:

"A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45"

We can write this as:

3*G + 7*D = $45

And we also know that:

"Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42"

We can write this as:

3*G + 6*D = $42

Then we have the system of equations:

3*G + 7*D = $45

3*G + 6*D = $42

To solve this, we can isolate the term "3*G" in one of the equations (because it appears on both of them)

Let's isolate it on the second equation:

3*G = $42 - 6*D

Now let's replace this on the first equation:

($42 - 6*D) + 7*D = $45

$42 + D = $45

D = $45 - $42 = $3

Then the value of each drugstore coupon is $3.

And we also have the relation:

3*G = $42 - 6*D

We can just replace the value of D to get:

3*G = $42 - 6*$3 = $42 - $24 = $18

G = $18/3 = $6

The value of each grocery store coupon is $6

Answer:

You would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Step-by-step explanation:

From the information provided, you can find how much you would have to sell in a week in order for the straight commission offer to be at least as good by establishing an equation in which the amount earned in the first company is equal to the amount earned in the second company:

0.08x=500+0.03x, where x is the amount of sales

Now, you can solve for x:

0.08x-0.03x=500

0.05x=500

x=500/0.05

x=10,000

According to this, the answer is that you would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

Step-by-step explanation:

25 = 3.75

[tex] \frac{25}{3.75} [/tex]

1 = 0.15

90 = 12.60

1 = 0.14

hope it helps you ☺️

Answer:

The 90 oz

Step-by-step explanation:

When you are doing what the better buy, you should go by unit rates or see how much it costs for 1 oz.  3.75/25 is.15 while, 12.60/90 is.14. Plus u get more.

Answer:

Multiply the angle measure by two.

Step-by-step explanation:

Answer:

you would multiple the angle and measure by two

Answer:

Step-by-step explanation:

sin15=h/30

h=30sin15

h=7.8 mi

Answer:

g(x) = 3x^2-3x-9

g(4) =3(4)^2-3(4)-9

g(4)=3(16)-12-9

g(4)=48-12-9

g(4)=27

So B is the correct answer.

Hope this helps!

Answer:

12 R cm

Step-by-step explanation:

Answer:

D. 1.47

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Answer:

it is -1/2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

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

5x+12x-20=-3

17x-20=-3

17x=17

x=1

Answer:

(1,2)

Step-by-step explanation:

1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:

[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]

2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:

[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]

So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).

Answer:

Step-by-step explanation:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Answer:

?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Add 5 to 23 which gives you 28

Then divide 28 by 4 and you get 7

Hope this helps!

32b+12

32 and 12 is both divisible by 4 so divide them by 4 and the answers in parentheses

4(8b+3)

Answer:

cat costs $10

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

$110=2x+$100 $10=2x x=5

Answer:

??????????????????????????????????

Step-by-step explanation: