walter's salary this year is $23,400. If this is $1,700 more than he made last year, what was his salary last year?​

The digits which a composite number greater than 10 might have include; 1, 2 ,3 and 4.

According to the question;

The number 10 has two place values namely;

In essence, any composite number greater than 10 can have either of 1, 2, 3 and 4 in the ones place.

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Explanation:

Going from design 1 to design 2, we add on 3 triangles. This is because the triangle in design 1 has 3 exterior sides to form its perimeter.

Going from design 2 to design 3, we add on 6 triangles

Going from design 3 to design 4, we add on 9 triangles

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

Note the pattern of triangles we add on each round: 3, 6, 9

This is the set of multiples of 3. Each number is increased by 3. The next design will have us add 12 triangles to the exterior of design 4. Then the next round has us add on 15 triangles to the outside.

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Going from design 4 to design 5, we add on 12 triangles

Going from design 5 to design 6, we add on 15 triangles

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Check out the attached image below for what designs 5 and 6 will look like. Note the use of color coding to help see how the figures build up from step to step. There are 15 orange triangles along the outside in design 6.

Answer:

3b

Step-by-step explanation:

Since it takes b minutes to fill one bathtub, then it will take 3 times b minutes to fill all three bathtubs.

Answer:

3 times b

Step-by-step explanation:

Answer:

The best prediction will be B) 35

Step-by-step explanation:

By looking at the scatterplot ,

we can see that it the City MPG vs Highway MPG approximately falls on a straight line.

we can either find the slope of it ( which might be a little out of syllabus ) or we can extend the line connecting the maximum number of points.

When we do so, We get a line as attached in the diagram.

And we extend it.

From the graph attached we find that the value of City MPG falls somewhere in between the lines of 30 and 35 ( though this is just and approximation).

thus the more appropriate answer would be : 35

Answer:

the answer is 12m + 4

Step-by-step explanation:

you do the distributive property which is 3*2m and then 3*4 and you get 6m+12 and then you do it again which you do 2*3m and then 2*-4 and you get 6m-8 and then you get 6m+12+6m-8 and you just add your like terms to get 12+4

                                                hope this helped

150 cm ......... 100 %

165 cm ...............x %

x = 165×100/150 = 16500/150 = 110 %

Answer:

10%

Step-by-step explanation:

Subtract 150 from 165, which gives 15.

Then, do 15/150 = 0.1

Convert decimal to percent by moving the decimal point two spaces back. 0.1 becomes 10%.

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

Based on the property of a parallelogram, the measure of FG is: 47.

Based on the properties of a parallelogram, the opposite sides of a parallelogram are equal in length.

Therefore:

EH = FG

5z - 18 = 3z + 8

5z - 3z = 18 + 8

2z = 26

z = 13

FG = 3z + 8

FG = 3(13) + 8

FG = 47

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Answer:

2.4 cm.

Step-by-step explanation:

See the given diagram of two similar triangles one with actual dimensions and the other drawn on paper with a certain scale.

The ratio of corresponding sides of two similar triangles is always the same.

Now, 1.5 cm on the drawing is equivalent to 2.5 m i.e. 250 cm. in actual dimension.

So, 4 m i.e. 400 cm in actual dimension will be equivalent to [tex]\frac{1.5}{250} \times 400 = 2.4[/tex] cm. in the drawing. (Answer)

Answer:

20.8

Step-by-step explanation:

Using Pythagorean theorem, you can find 1/2 of x.

12²= 6² +1/2x²

From this we find 1/2 x is ≈ 10.4

Then x itself would be 2 times that, resulting in 20.8, that is your answer

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Now we need to make our denominators match.

9 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 3, and get 3, then we multiply 3 by 3 and get 9.

Since our denominators match, we can add the numerators.

2 + 3 = 5

That gives us the sum, which is

5/9

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 2/9 + 1/3

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

Answer:

The answer is 6$. Half of 6$ is 3$

Answer:

$6

Step-by-step explanation:

Let the original price be =Y,

50% of the original = Y×50/100 = 0.5Y

∴  50% off =Y - 0.5Y = 3

0.5Y=3

divide both side by the co-efficient 0f Y i.e 0.5

⇒0.5Y/0.5=3/0.5

⇒Y= $6

These are ratios, which are technically equal to each other. So, you can set up the problem like this:

12/180=20/x

180*20=3600

3600/12=300

So, it would take 300 minutes.

The required time consumed to cook 20 pounds of turkey is 300 minutes.

Given that,

A 12-pound turkey takes about 180 minutes to cook.
To determine how many hours would it take to cook a 20-pound turkey.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The rate of change is defined as the change in value with the rest of the time is called rate of change.

A 12-pound turkey takes about 180 minutes to cook.
rate of cooking  = 180 / 12 = 15 minute per pound of turkey
Time consumed to cook 20 pounds of turkey = 20 * 15 = 300 minutes

Thus, the required time consumed to cook 20 pounds of turkey is 300 minutes.

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Answer:

2

Step-by-step explanation:

12/8 is equal to 6/4.

6 divided by 3 is 2.

Answer:

2 batches of brownies

Step-by-step explanation:

3/4 = (3x2)/(4x2) = 6/8

(12/8) / (6/8) =

(12/8) x (8/6) =

12/6 =

2

Correct option:

c.f(x-3)+1

From the options we have either vertical or horizontal shift. So, for this type of transformation we have:

For any real positive number [tex]c[/tex], vertical and horizontal shift in the graph [tex]y=f(x)[/tex] are expressed as follows:

[tex]\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)[/tex]

From these rules, we know that:

[tex]f(x-3)+1[/tex]

would move the graph of the function to the right of the coordinate plane because of [tex]f(x-3)[/tex]. In other words, the transformation is as follows:

[tex]f(x-3)+1[/tex] shifts the graph of [tex]f(x)[/tex] three units to the right and one unit up

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Answer:

x = 1

Step-by-step explanation:

y = 6

Substitute this into y = x + 5

6 = x + 5

1 = x

Answer:

x=1, y=6. (1, 6).

Step-by-step explanation:

y=x+5

y=6

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x+5=6

x=6-5

x=1

Answer: p = 1.2

Step-by-step explanation:

Answer: p=1.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because 5/9 is an example of a proper fraction. In order to be an improper fraction, the numerator needs to be larger than the denominator. 8/2 can be simplified as 4 and 4 is a whole number. 11/3=3 2/3 is an example of improper fraction. 6/7, again, this is another example of a proper fraction.

Answer:

B)No, the estimate should be higher

Answer:

no the estimate should be lower

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

i took the assignment and quiz on ed2020

Answer:  A)

Step-by-step explanation: This is correct because a telescope is a piece of technology use to look further into space

Answer:25

Step-by-step explanation:

10 plus 9+4+2 will give you 21 and it will have 4 yellow ones left

The total cost of trip for 37 people will be $1194.

Step-by-step explanation:

Given,

Rent of bus = $750

Cost of one ticket = $12

Let,

x be the number of people.

T be the total cost of the trip for people.

According to given statement;

Total cost = Rent of bus + (Cost of one ticket * number of people)

[tex]T=750+12x[/tex]

For 37 people, x=37

[tex]T=750+12(37)\\T=750+444\\T=\$1194[/tex]

The total cost of trip for 37 people will be $1194.

Keywords: linear expression, addition

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Answer: x=1.1

Step-by-step explanation:

-2.2 - (-4x - 2) = - (-x - 3.1)

-2.2 + 4x + 2 = x + 3.1

-0.2 + 4x = x + 3.1

+0.2              + 0.2

4x = x + 3.3

-x     -x

3x = 3.3

/3     /3

x = 1.1

hope this helps!

Answer:

$77.40

Step-by-step explanation:

Answer:

The numbers are 40 and 49

Step-by-step explanation:

Smaller number = x

Larger number = y

Let's write our system of equations:

x + y = 89

3x = y + 71

***************************

x = 89 - y

Substituting x in the 2nd equation and solving for y:

3 (89 - y) = y + 71

267 - 3y = y + 71

-3y - y = 71 - 267 (Like terms)

-4y = - 196

y = -196/-4

y = 49

Solving for x in the 1st equation:

x + y = 89

x + 49 = 89

x = 89 - 49

x = 40

The numbers are 40 and 49

Answer:

x<-8

Step-by-step explanation:

four more than twice a number = 4+2X

is less than negative twelve = <-12

4+2X<-12

(4-4)+2X< -12-4

2x<-16

X<-8

To find the numbers that make the statement true, we need to solve the equation 2x + 4 < -12 for x. Any number less than -8 will make the statement true.

To find the numbers that make the statement true, we need to translate the given sentence into a mathematical equation. Let's denote the unknown number as 'x'. The sentence 'Four more than twice a number is less than negative twelve' can be written as 2x + 4 < -12. Now, we can solve this equation for x:

Subtracting 4 from both sides, we get 2x < -16.

Dividing both sides by 2, we have x < -8.

Therefore, any number less than -8 will make the statement true.

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Answer:

When a point is reflected across the x axis, it has the same x axis but the y axis is multiplied by -1. Think about the x axis as a mirror and the point is projected across the x axis.

Hence the x coordinate is -1 and the y coordinate is -5.

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

the x coordinate is -1

Answer:

3/16

Step-by-step explanation:

4/7 of 84 = 48 kids

9/48 = 3/16

Answer:

9/36=1/4

Step-by-step explanation:

3/7x84=36

Ans: 9/36=1/4