10.)The charge for electricity consumption, E,
is partly constant and partly varies as the
number N of units used. The charge for 163
units is N453.80 while the charge for 42 units
is #139.20.
a Calculate the charge per unit of
electricity.
b Obtain a formula for E in terms of N.

Answer:

1) 1.4

2) 1.53

3) 9.48

4) 12.13

5) 19.82

6) 29.70

Step-by-step explanation:

You first must turn all mixed fractions into simple fractions.

Then, find the least common denominator for each problem.

Create fractions with the same denominator.

In your answer, divide the numerator by the denominator.

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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Answer:

volume of the crate =40%

Step-by-step explanation:

volume of the crate =

using formula

L×B×H× dat_3

40 ×3=120

divide it by 3 month.therfore the volume°40

Here ^^

--------------

A≈78.54

to be exact it would be 25

--------------

bye have a good morning/afternoon/evening!! <3

- berry

Step-by-step explanation:

the area of a circle with the diameter of 10 is 78.5

Answer:

B is the correct answer

Step-by-step explanation:

AND NO CHEATING v-v

,’l

The first one is 200 cause 360-160=200 cause it is the arc

Answer:

64/81 or, 0.790123456 repeating

Step-by-step explanation:

use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.

The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.

In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.

Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,

47 × 3.46 inches = 161.62 inches

Therefore, the length of the ramp is 161.62 inches.

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Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8:  result is 32.

Complete answer:  2y^32

The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.

The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.

the class interval that have  median.

total is frequency is as -

∑f = 30

median class of corresponds to half of the value

∑th is the  value

i.e.  15th value.

least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.

[tex]2+8+9=19[/tex]

So, corresponds to the class interval  = [tex]20 < h\leq 30.[/tex]

Hence, median class is [tex]20 < h\leq 30.[/tex]

Since this is a grouped data we use the midpoint

The median:-

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Answer:

thanks

Step-by-step explanation:

Answer:

Thank you so much! Have a great day! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Similar polygons.  Only side lengths change; the angles remain the same through dilation.

As per the given equation the total number of positive divisors that $6$ has is 38.

The divisors (or factors) of a positive integer are the integers that evenly divide it.

The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.

If N= paqbrc

Then total number of divisors = (a+1)(b+1)(c+1).

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

The divisors (or factors) of a positive integer are the integers that evenly divide it

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Answer:

-8 , (0, -8)

Step-by-step explanation:

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Referring to the picture given, the y-intercept is -8 with the coordinates (0, -8)

Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

The y intercept is where it crosses the y axis.  The y intercept is (0, -8)

answer:

900 calories

step-by-step explanation:

there are 60 calories in 12 crackers or 5 calories per crackers

60/12 = 5

there are 75 calories in 15 crackers or 5 calories per crackers

75/15 = 5

if there are 180 crackers

180 • 5

900 calories total

Based on the information given, the number of students from Florida will be; 9000 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1

The Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

Hence, the number of students from Florida is 9000.

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Answer:

A. 9.85 units

Step-by-step explanation:

Answer:

1) n=±2[tex]\sqrt{5}[/tex]

2) a=±3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

1) [tex]n^{2}[/tex] =20

✰Take the square root of both sides n=±[tex]\sqrt{20\\}[/tex]

✰ Simplify [tex]\sqrt{20\\}[/tex] to 2[tex]\sqrt{5}[/tex]

→ n=±2[tex]\sqrt{5}[/tex]  

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2) [tex]a^{2}[/tex] =90

✰ (Same as above) Take the square root of both sides ​a=±[tex]\sqrt{90\\}[/tex]

✰ Simplify [tex]\sqrt{90}[/tex] to 3[tex]\sqrt{10}[/tex]

→ a=±3[tex]\sqrt{10}[/tex]

Answer:

The length of AB is 4 and the length of DE is also 4. Yes, the circles are congruent.

ANSWER:-

where is the given part

Answer:

19cm^(3)

Step-by-step explanation:

Answer:

V = 9π cm³

Step-by-step explanation:

We require to find the height (h) of the cylinders

The volume (V) is calculated as

V = Ah ( A is the base area and h the height ), then

3πh = 18π ( divide both sides by 3π )

h = [tex]\frac{18\pi }{3\pi }[/tex] = 6

Then the height of the smaller cylinder = 6 - 3 = 3 cm

V = 3π × 3 = 9π cm³ ← volume of smaller can

Answer:

121/50

Step-by-step explanation:

121/150 =2.42

Answer:

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Step-by-step explanation:

Let us represent the

Number of ounces of 28% alcohol = x

Number of ounces of 40% alcohol = y

Our system of equations =

x + y = 51 ..... Equation 1

x = 51 - y

28% × x + 40% × y = 32% × 51

0.28x + 0.4y = 16.32......Equation 2

We substitute 51 - y for x

0.28(51 - y) + 0.4y = 16.32

14.28 - 0.28y + 0.4y = 16.32

- 0.28y + 0.4y = 16.32 - 14.28

0.12y = 2.04

y = 2.04/0.12

y = 17

Solving for x

x = 51 - y

x = 51 - 17

x = 34

Therefore,

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  [tex]\frac{2}{3}[/tex]

[tex]E'F'=32[/tex]

Suppose the length of EF is [tex]x[/tex]

Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'

[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]

[tex]\therefore EF=48[/tex]

The value of line GB is 6

From the diagram shown, we can see that AG, GB and AB form a triangle with two of its sides being equal.

Also, line AG = line GB

Where;

Then, we have;

Line AG = LIne GB

Substitute the expressions, we have;

5x - 24 = 3x - 12

Collect like terms

5x - 3x = - 12 + 24

Add or subtract like terms

2x = 12

Divide both sides by the coefficient of x

x = 12/ 2

x = 6

The, GB = 3(6) - 12 = 6

Hence, the value is 6

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Answer:

b

Step-by-step explanation:

There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative

Answer:

−0.5

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

i think its 7.5

Step-by-step explanation: