3.
Andrew wants to buy 28 radio sets. Each radio set costs $229. Give a
quick estimate of the total cost of the radio sets.

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:

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.

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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:

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:

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

Step-by-step explanation:

Weight before diet: 208 pounds

After diet: 192 pounds

Difference in weight: 16 pounds

(16÷208)*100= 7.7%

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.

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).

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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:

Step-by-step explanation:

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

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

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Answer:

19 feet

Step-by-step explanation:

Area= length × length

361= l²

√361= l

19= l

Answer: 76

Step-by-step explanation:

Step-by-step explanation:

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.

Example: 3:5

The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.

24:6

Hope it helps!

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: The answer is B i just did this test

Step-by-step explanation:

The only number on the list that matches the rounding requirement is 0.579. Hence, the correct option is B.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We can consider what the offered numbers are when they are rounded to hundredths:

 0.574 ⇒ 0.57

 0.579 ⇒ 0.58 . . . matches the requirement

 0.585 ⇒ 0.59

 0.681 ⇒ 0.68

The only number on the list that matches the rounding requirement is 0.579.

Hence, the correct option is B.

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Answer:

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

2^X = 2^5

x=5

Step-by-step explanation:

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:

Step-by-step explanation:

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

2A = h(a + b)

h(a+b) = 2A

h = 2A/(a+b)

Answer:

A:no B:no C:yes D:yes

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:

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:

4.425*10⁵

Step-by-step explanation:

442500 = 4.425 * 10 ⁵

Answer:

A=3

Step-by-step explanation:

Step 1: Divide both sides by -6/

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

a=3

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:

8 meters

Step-by-step explanation:

56 / 7 = 8

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:

Step-by-step explanation:

14-(a/5)

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:−xy2+x2−11xy+y2+3x+2y−8

Step-by-step explanation: