Natalie is 5 years older than Casey. The sum of their ages is 55. How old are Natalie and Casey?

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

Answer:

y = -1/3x - 5

Step-by-step explanation:

First, we need to get y by itself so we subtract x from both sides, giving us:  3y = -x - 15

Secondly, we need to isolate the y, so we divided the 3 out on both sides giving us: y = -1/3x - 5 which is our answer.

Answer:

[tex]t^{6}[/tex]

Step-by-step explanation:

I am going to assume exponents for this question.

[tex]\frac{t^{8}}{t^{2}}[/tex]

When dividing exponents with the same base, it is simply subtraction, so 8 - 2 = 6 which produces the answer.

Answer: x=12

Step-by-step explanation:

1/3 x -4

1/3x=4               <---- First add 4 to each side of the equation (moves the "-4")

1/3x(3)=4(3)     <---- Muliply each side by "3" to get rid of the fraction

x=12

Answer:

Hey mate.....

Step-by-step explanation:

If your diameter is 12cm then radius is = 6cm and to find the area use the formula pi.r. power 2.....

hope it helps you,

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Answer:

Multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Step-by-step explanation:

Let the first five multiples of ten be

10*1= 10

10*2= 20

10*3=30

10*4=40

10*5= 50

Suppose we chose 20 and 50.

Now multiplying 20 with 50 we get

20*50= 1000

IF we count the total number of zeros in the factors ( 20 and 50) they are 2.

But the number of zeros in the product (1000) are 3.

This is because when we multiply 2 with 5 we get 10 which adds to the existing number of zeros ( i.e 2) and we get a total of 3 zeros.

And multiplying 10 with 50 we get

10*50= 500

IF we count the total number of zeros in the factors ( 10 and 50) they are 2.

But the number of zeros in the product (500) are also 2.

This is because when we multiply 1 with 5 we get 5 which does not add to the existing number of zeros ( i.e 2) and the total number of zeros remain the same.

Similarly multiplying 20 with 30 we get

20*30= 600

IF we count the total number of zeros in the factors ( 20 and 30) they are 2.

But the number of zeros in the product (600) are also 2.

This is because when we multiply 2 with 3 we get 6 which does not have a zero and the total  number of zeros remain the same as in the factors.

So we see that multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Answer:

-2x, (x+6), and (x-2)

I got this right on edmentum.

Step-by-step explanation:

Answer:

g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

Answer: The blank space in the equation is 4.

Step-by-step explanation: -6 x +2 is -12. -48/-12 is 4. Therefore, the blank space in the equation is 4.

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).

5=x/6

Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.

5×6=(x/6)×6

5×6=x

30=x

I hope this helps!

Answer:

2. y = -9x + 7

2. y = 3x - 2

3. y - 6 = 10(2x - 1)

1. 5x + 2y = 10

4. 5x = 3y + 9

3. y + 2 = 6(x - 4)

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

Answer:

The expression would be 8w

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

Answer:

it says LESS THAN not less tha n or equal to  so it cant be a or b or d, so it is c!

Step-by-step explanation:

Catherine bought apples and pears for the school picnic. If the total fruit is less than 100, then the correct equation for this will be y<100-x and y<x. Hence, option C is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given data in the equation,

Catherine bought apple and pears.

The overall quantity is less than 100

Let the number of apples is x and,

The number of pears is y.

She bought more apples than pears,

y<x.

And y < 100-x.

To know more about an equation:

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Answer:

30.4%

1000 at £1.10

1000 x 1.10 = £1100

35% of 1000 is given away

1000 - 35% = 1000 - 350 = 650 left

35% of £1100 = £385, subtract to get £715 pounds worth of pins left

650 are left, with 385 pounds lost

60% of 650 = 390 pins sold at £3 each

40% of 650 = 260 sold at £5 for 2

3 x 390 = £1170 made from the first lot

260/2 = 130 x 5 = £650 made from the second lot

£1170 + £650 = £1820 from sales

Sales - cost to make - losses (giveaways) = profit value

1820 - 1100 - 385 = 335 pounds of profit

To find the gross profit margin, we take the profit, and find what percentage of the production cost it is.

335 is about 30.45% of 1100

30.45%, which is 30.4% to 1 decimal place.

The user is not responsible for any errors and all care should be taken to validate answer by self before submission.

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

Answer:

3) yes

4) yes

5) yes

6) no

Step-by-step explanation:

the coordinites that are in the blue shaded area are yes

Answer:

I don’t see the table so I can’t answer it....

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

i=75+5b

The expression that describes the total investment(money spent) in light is 75+ 5(b)

Word problems require the application of algebraic expression in solving real-life problems. It can be expressed with the use of variables and arithmetic operations.

From the given information:

The total investment spent in light = 75 + 5b

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Answer: c

Step-by-step explanation:

Answer: Solution :  

Step 1 :

Make a scatter plot of Lily’s running data.

Step 2 :

To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.

Step 3 :  

Find the slope of the trend line.

The line passes through points (2, 20) and (4.5, 45).

Use the slope formula.  

m  =  (y2 - y1) / (x2 - x1)

Substitute x1, = 2, y1 = 20, x2 = 4,  and y2 = 45.

m  =  (45 - 20) / (4.5 - 2)

m  =  25 / 2.5

m  =  10

Step 4 :  

Find the y-intercept of the trend line.

Slope-intercept form equation of a line :  

y  =  mx + b

Plug y = 20, m = 10 and x = 2.  

20  =  10 · 2 + b

20  =  20 + b

Subtract 20 from both sides.  

0  =  b

Step 5 :  

Use your slope and y-intercept values to write the equation.

Slope-intercept form equation of a line :  

y  =  10x + 0

So, the equation for the trend line is

y  =  10x

Example 2 :

David records the number of chapters and the total number of pages for several books as given below.  

No. of chapters

3

4

5

8

10

11

15

17

19

No. of pages

20

44

50

95

90

130

125

170

160

Step-by-step explanation: