Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $2.20 each. What does each term in the expression 1.1n +2.2m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 2.2m represents the (select)
The expression represents the (select)

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]

Answer:

19 feet

Step-by-step explanation:

Area= length × length

361= l²

√361= l

19= l

Answer: 76

Step-by-step explanation:

Answer:

Step-by-step explanation:

14-(a/5)

Step-by-step explanation:

Weight before diet: 208 pounds

After diet: 192 pounds

Difference in weight: 16 pounds

(16÷208)*100= 7.7%

A and B

......................

Answer:

B. [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

A. [tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\[/tex]

D.

Step-by-step explanation:

Answer:

4.425*10⁵

Step-by-step explanation:

442500 = 4.425 * 10 ⁵

Answer:

2^x = 2*2*2*2*2

2^X = 2^5

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = h(a+b)/2 for h

2A = h(a + b)

h(a+b) = 2A

h = 2A/(a+b)

Answer:

8 meters

Step-by-step explanation:

56 / 7 = 8

Answer:

The Answer Is C

Answer:

Step-by-step explanation:

They are not like terms, so they can't be added up.

Answer:

a = 29

b = 64

c = 87

Step-by-step explanation:

Let the angles be a (smallest), b, and c (largest).

We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.

a + b + c = 180

c = 3a

b = a +35

With some solving and substitution...

a + (a + 35) + c = 180

2a + c = 145

2a + (3a) = 145

5a = 145

a = 29

and therefore,

b = 29 + 35 = 64

c = 3(29) = 87

Answer:

Let smallest angle be :x

So, the largest angle will be:3x

And the other angle will be :x+35

According to angle sum property of triangle,

x+3x+x+35=180

5x+35=180

5x=180-35

5x=145

x=(145/5)

Therefore, x=29

So, the smallest angle =x=29

The largest angle=3x=87

And the other angle=x+35=64

Answer:

length =16

Step-by-step explanation:

area= breadth*length

length = 2 breadth    --equation 1        

(the length of the rectangle is twice the breadth)

128m^2= breadth*2 breadth

128m^2= 2 breadth^2

breadth^2= 128/2m^2

breadth^2=64m^2

taking square root on both sides

[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{64m^2}[/tex]

[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{(8m)^2}[/tex]

breadth= 8m   (cancelling square root with power 2

put breadth in equation 1

length= 2*8

length= 16

CHECK:

area of rectangle = breadth * length

area= 8*16

area=128

Answer:

[tex]d=\frac{8+m}{f}[/tex]

Step-by-step explanation:

[tex]fd-m=8[/tex]

Add m to both sides:

[tex]fd-m+m=8+m[/tex]

[tex]fd=8+m[/tex]

Divide both sides by f:

[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]

[tex]d=\frac{8+m}{f}[/tex]

Answer:

10 weeks

Step-by-step explanation:

20x+50=250

First subtract 50 from both sides, which gives you 20x=200

then divide 20 from both sides which gives you x=10

Answer:

32r2, 128 cm ^2

The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

A square is a parallelogram, whose all sides are congruent and all angles are right angle.

Given that,  a square with diagonal length 16 cm

Let the side of the square be a,

We know that, all sides of a square are congruent,

And, the diagonal divides it into two congruent right triangles,

Therefore, using Pythagoras theorem,

a²+a² = 16²

2a² = 256

a² = 128

a = 8√2

Area = side²

Therefore, area = 128 cm²

perimeter = 4×sides = 32√2 cm

Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

For more references on squares, click;

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Answer:

x = 15/2 or x = 7.5

Step-by-step explanation:

Step 1: Write equation

3(x + 4) = 7x - 18

Step 2: Solve for x

Distribute 3: 3x + 12 = 7x - 18

Subtract 3x on both sides: 12 = 4x - 18

Add 18 on both sides: 30 = 4x

Divide both sides by 4: x = 15/2 or x = 7.5

Answer:

30

Step-by-step explanation:

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.

3 x 10 = 30.

"times greater" means multiplication if you were confused about it.

Hope this helps! Have a nice day!

Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.

Given that:

[tex]Number = 513[/tex]

We make the following observations in 513

The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:

[tex]Value = 3 \times unit[/tex]

Unit means 1. So:

[tex]Value = 3 \times 1[/tex]

[tex]Value = 3[/tex]

So, the value of 3 in 513 is 3.

Let the other number be x.

x is 10 times greater than 3 means that:

[tex]x = 10 \times 3[/tex]

[tex]x = 30[/tex]

Hence, the number is 30

Read more about place values at:

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Answer:

A=3

Step-by-step explanation:

Step 1: Divide both sides by -6/

-6a/-6= -18/-6

a=3

Answer:

D) -5

Step-by-step explanation:

When two numbers have different sign, subtract and the answer will have the sign of the bigger number.

Here the sign of bigger number is negative. So, (-5)

Answer:

[tex]63 \ cm^2[/tex]

Step-by-step explanation:

The area of a triangle is found using the following formula:

[tex]A = \frac{base * height}{2}[/tex]

The base of our triangle is 21 cm.

The height of our triangle is 6 cm.

[tex]A= \frac{6*21}{2} =3 * 21 = 63[/tex]

Our distance unit is cm, so our area will be in cm squared.

Answer: [tex]63 \ cm^2[/tex]

Answer:

63

Step-by-step explanation:

21 times 6, then divide by 2.

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Answer:−xy2+x2−11xy+y2+3x+2y−8

Step-by-step explanation:

Answer:

A line segment has two endpoints. A line has no end point. A line-segment has a definite length. But a line does not have definite length.

Step-by-step explanation:

10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer:

10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer: 512,000

Step-by-step explanation:

Answer:

4 and 6 are the two consecutive even integers

Step-by-step explanation:

Hi,

Let x represent the smaller of the two consecutive even integers, (x+2) the other

Write as we Read***

6x = 4(x+2)

solve for x

6x = 4x + 8

2x = 8

x = 4

checking our answer

6*4 = 4*6 = 24

Answer:my answer is oooof

Step-by-step explanation:

x=127

since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127

Answer:

I am not good in maths but I think it is

A 1/4

A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,

[tex]\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

Hence, the scale factor of the triangle is (1/2).

Learn more about Scale ratio:

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Answer:

Step-by-step explanation:

66 times 66  for area is 4356 then 4356 divided by 22 is 217.8 so 218

Answer:

12.56

Step-by-step explanation:

find the circumference of the circle : 2πr

C=2(12)(3.14)

C=75.36

the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.

(60/360)(75.36)= 12.56