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Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

perimeter of triangle=20+20+24=64mm

height of triangle =16mm

length of rectangle=23mm

breadth of rectangle=24mm

we have

Total surface area=perimeter of triangle *length + 2*area of rectangle

=64*23+2*23*24=2576mm²

Surface area=2576mm²

Answer:

1856

Step-by-step explanation

A = bh + 2ls + lb

Using the formula we get 1856

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

27

Step-by-step explanation:

3 times 3 times 3

length times width times height

I hope this helped!

Answer:

27

Step-by-step explanation:

Answer:

-8, 16, -32, 64

Step-by-step explanation:

a1 = -8

r = -2

a2 = -8(-2)=16

a3 = -8(-2)²=-8(4)=-32

a4=-8(-2)³=-8(-8)=64

Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Answer:

39

Step-by-step explanation:

First, we change 8x +7 to 8(4) + 7

Then, 8 x 4 = 32

Lastly, 32 + 7 = 39

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Answer:

Rs.3

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Price of 12 boxes = Rs. 900

So, price of 1 box =  Rs. 900 ÷ 12 = Rs. 75

Selling price for 5 boxes = Rs. 390

So, Selling price of 1 box = Rs. 390 ÷ 5 = Rs. 78

So, Profit or Loss = Selling price - Purchase price

= Rs. 78 - Rs.75

Profit = Rs.3 ( positive means profit)

Hence, his gain on one box is Rs.3.

Answer:

1400.

Format :

(50 x 14) 2

So first you know that the smaller sides are 14cm. add 14 + 14 to get 28. search up the rest.

As an inequality, the number that is less than 0.4 is 0.09

The number is given as:

0.4

Let the number be represented as x.

So, we have:

x < 0.4

From the list of given options, the possible value of x is 0.09.

This means that 0.09 is less than 0.4

i.e 0.09 < 0.4

Hence, the number that is less than 0.4 is 0.09

Read more about inequality at:

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Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

Answer:

d

Step-by-step explanation:

A function is a relationship between inputs where each input is related to exactly one output.

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A new motorcycle has a value of $8,000.

Every year its value decreases by $500.

Now,

y = amount of the motorcycle

x = number of years

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Thus,

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

Learn more about functions here:

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Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge

Answer:

2 by 7 by 11

Step-by-step explanation:

A rectangular prism has a volume of 154 in3

. Which set of dimensions below could be the dimensions of the prism?

6 by 8 by 3

5 by 6 by 7

2 by 7 by 11

Volume of a rectangular prism = base area x height

Base area = length x width

6 x 8 x 3 = 144 this is not equal to 154. This is not the correct dimension

5 x 6 x 7 = 210 this is not equal to 154. This is not the correct dimension

2 x 7 x 11 = 154 this is the correct dimension

Answer:

B

Step-by-step explanation:

1/4 + 2/3

(3+8)/12

11/12

Answer:

144.44 yd

Step-by-step explanation:

Answer:

The irrational numbers from the given options are :-

Step-by-step explanation:

Analyse each option carefully.

1) [tex]13 + \sqrt{25}[/tex] is a rational number because :-

2) [tex]17\pi[/tex] is irrational because :-

3) [tex]0.21475467....[/tex] is irrational because :-

4) [tex]\sqrt{\frac{9}{16} }[/tex] is rational because :-

5) [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is irrational because :-

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

Answer:

4x^2−32x+28

Step-by-step explanation:

The correct answer will be [tex]4x^{2} - 32x + 28[/tex]

Let's simplify step-by-step.

(x−7)(−9)+(x−7)(4x+5)

Distribute:

= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)

= −9x+63+4x2+5x+−28x+−35

Combine Like Terms:

= −9x+63+4x2+5x+−28x+−35

= (4x2)+(−9x+5x+−28x)+(63+−35)

= 4x2+−32x+28

Answer:

11

Step-by-step explanation:

Answer:

x=3/4

Step-by-step explanation:

Given:

f(x) = x-1

g(x) = 2x²+3

Evaluate composite functions:

f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2

g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5

Set expressions equal to each other and solve for x:

2x²+2 = 2x²-4x+5

2 = -4x+5

-3 = -4x

3/4 = x

x = 3/4

Therefore, the value of x=3/4 satisfies both composite functions

Answer:

♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️

Answer:

Step-by-step explanation:

We need to figure out how far Eric's car takes him in 1 rotation based on the diameter of his tire in feet. If the diameter of the tire is 18", then it is 1.5'. The circumference will tell us the distance 1 rotation of his tires will take him:

C = 3.1415(1.5) so

C = 4.71225 feet is how far he goes in 1 rotation. If he travels 88 feet in 1 second, we can figure the number of rotations by dividing 88 by 4.71225 to give us the unit rate (or, rotations per second his car makes). This quotient is 18.67 feet per sec, which rounds to 19, choice B.

Answer:

A

Step-by-step explanation: