Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?

Answer:

the circumference of circle is 2 πr

Answer:

Vertical angles

Actually the correct answer should be Vertically opposite angles

Answer:

The height of Roger is 158cm

Step-by-step explanation:

All of them=158cm

They are 4.So,158^4=632cm

Height of 3 persons=155cm+158cm+161cm=474cm

Therefore the height of Roger is 632cm-474cm=158cm

The height of Roger with the mean of all of them is given is 158 cm.

Given that, the heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Let the height of Roger be R.

Mean= 158 cm

We know that, mean =Sum of all the observations/Number of observations

⇒ (155+158+161+R)/4 =158

⇒ 474+R=632

⇒ R=632-474

⇒ R=158 cm

Hence, the height of Roger with the mean of all of them is given is 158 cm.

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The value of the 43rd term of the arithmetic sequence will be 482.

Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a + L]

Sₙ = (n/2) [2a + (n − 1) d]

An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.

160 = (8/2)(2a + 7d)

2a + 7d = 40                        ...1

880 = (20/2)(2a + 19d)

2a + 19d = 88                       ...2

From equations 1 and 2,

40 - 7d + 19d = 88

12d = 48

d = 4

Then the value of 'a' is given as,

2a + 7(12) = 40

2a = 40 - 84

2a = -44

a = -22

The value of the 43rd term is given as,

aₙ = a + (n - 1)d

a₄₃ = - 22 + (43 - 1)(12)

a₄₃ = - 22 + 42 x 12

a₄₃ = - 22 + 504

a₄₃ = 482

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Answer:

I understand the exercise is about unit rates, but why go out of the way to state false information? A tablespoon is exactly 3 teaspoons!

Anyway,

(1/2 tsp)/(2/3 cup) * (1tbsp)/(4tsp) = 1/2 * 3/2 * 1/4 = 3/16 tbsp/cup

Step-by-step explanation:

Ok

Answer:

y=6

Step-by-step explanation:

no slope means no X or M in y=mx+b

leaves you with y=b which is whatever y is in the cordinate (x,y)

in this case, 6

Answer:

y=6

Step-by-step explanation:

We can use point slope form

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-6 = 0(x-0)

y-6 = 0

Add 6 to each side

y-6+6 = 0+6

y=6

Answer:

=3000/53

Step-by-step explanation:

Answer:

D 1.29x+1.35y≤12

Step-by-step explanation:

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.

Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.

1.29x+1.35y≥121.29x+1.35y≥12

1.29x+1.35y>121.29x+1.35y>12

1.29x+1.35y<121.29x+1.35y<12

1.29x+1.35y≤12

0=0

For the full explanation simply copy and paste your equation to your device browser.

Answer:

2p+15-11p=3(5-3p)

2p-11p+15=15-9p

-9p+9p=15-15

p£R

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

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Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

Answer:

4

Step-by-step explanation:

7x8=56 wich is the highest number it can go to

so 8/2=4

The modal represent the division is 6 ÷ 6/9 = 9.

One of the most fundamental operations in arithmetic is division, in which a larger number is divided into smaller groups with the same number of items. Dividing a large group into smaller groups so that each group has the same number of items is called division. In math, it is an operation that equalizes sharing and grouping.

Given the number line in figure,

shows the number is divided in 9 equal parts

1/9, 2/9, 3/9, ..........9/9

and from 0 to 6/9 parts are marked,

there are 6 parts in 0 to 6/9

the division model for equation is

6 ÷ 6/9

and division is 6 ÷ 6/9 = 9

Hence the division sentence is represented by the model is 6 ÷ 6/9 = 9.

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The question is incomplete, complete question is attested in image

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

Answer:

430

Step-by-step explanation:

761-331=430

Answer:

the answer would be 430 because you subtract 761-331=430

Answer:

5 inches of wire costs 25 cents.

Step-by-step explanation:

To answer this question, we want to find the unit price per inch of wire. Therefore, we need to divide the cost of the 11 inches (55) by the length of the wire (11):

55 / 11 = 5

So, 1 inch of wire costs 5 cents.

Now, to see how many inches can be bought with 25 cents, multiply 5 times both the 1 inch and 5 cents, which are the unit price to get:

5 inches of wire costs 25 cents.

Hope this helps :)

Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

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Answer:

4 classes

Step-by-step explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x         -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.

Malcom Davis earnings is an illustration of equations and proportions.

Let the profit be P, and the gross income be G.

So, we have:

[tex]\mathbf{P= G - 100000}[/tex]

(a) The equations

For plan A, we have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income

For plan B, we have:

[tex]\mathbf{B = \frac{1}{60}P}[/tex]  ----1/90 of the company's profit

When both are the same, we have:

[tex]\mathbf{A= B}[/tex]

This gives

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]

Substitute [tex]\mathbf{P= G - 100000}[/tex]

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

(b) Solve the equation in (a), and intepret

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Cross multiply

[tex]\mathbf{60G = 90G - 9000 000}[/tex]

Collect like terms

[tex]\mathbf{90G - 60G = 9000 000}[/tex]

[tex]\mathbf{30G = 9000 000}[/tex]

Divide both sides by 30

[tex]\mathbf{G = 3000 00}[/tex]

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex]

Substitute [tex]\mathbf{G = 3000 00}[/tex]

[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]

[tex]\mathbf{A = 3333.33}[/tex]

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

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Answer:

The equation of this line is y=8x-3, I hope this helps you! :D

Answer:

y = 8x - 3

Step-by-step explanation:

The point (0, -3) is the y-intercept. You can take this and calculate the slope using the other point. Then you can form the formula y = mx+b.

Answer:

Step-by-step explanation:

Given is the absolute value function.

Observations:

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

The distance AY is:

The distance from the x-axis to the point Y is:

The coordinates of the point Y:

Answer:

SEARCH MO PARA MALAMAN MO HEHE

A variable is a letter, for example x, y or z, that represents an unspecified number.

6+x=12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Step-by-step explanation:

Answer:

434 R2

Step-by-step explanation:

Hope this helps