Three years from now Tom will be twice as old as Jean and two years ago the sum of their ages was 26. How old is Tom now?

Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.

Answer:

Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?

Answer:

333

Step-by-step explanation:

Let a represent Alice's numbers and p represent Pat's numbers.

Alice wrote three consecutive even numbers. The sum of the three is 252. This means:

[tex]a+(a+2)+(a+4)=252[/tex]

The first term is even. Each consecutive even term is two more than the previous term. Simplify:

[tex]3a+6=252\\3a=246\\a=84[/tex]

In other words, Alice's first number was 84.

Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:

[tex](p+1)+(p+3)+(p+5)=x[/tex]

The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.

We are told that the difference between the largest of Pat's and Alice's  numbers is 25. Therefore:

[tex](p+5)-(a+4)=25[/tex]

Simplify. Substitute a. Solve for p:

[tex]p-a+1=25\\p-84=24\\p=108[/tex]

Therefore, Pat's sum is:

[tex](108+1)+(108+3)+(108+5)=333[/tex]

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)

Answer:

8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer          

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Answer:

Mary has 7 flowers

Peter has 1 flower

John has 2 flowers

Step-by-step explanation:

M + P + J = 10

J = 2P

M + P + 2P = 10

M + 3P = 10

P = 1

M + 3 = 10

M = 7

Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

Answer:

4/3

Step-by-step explanation:

let the other number be x.

-4/3 x=-16/9

x=-16/9×-3/4=4/3

Answer:

x=45

Step-by-step explanation:

2x+45+x=180

Combine 2x and x to get 3x.

3x+45=180

Subtract 45 from both sides.

3x=180−45

Subtract 45 from 180 to get 135.

3x=135

Divide both sides by 3.

x=135/3

Divide 135 by 3

x=45

Hello there! :)

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given the equation:

3x - 4y = 65 where y = 4

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Answer:

pleas learn subtraction

Step-by-step explanation:

so it can make you better in math

Answer:

[tex]\large \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Answer:

10

Step-by-step explanation:

Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Begin by studying the pattern.

Notice that the difference between 0.8 and 1 is 0.2.

In other words, 0.8 + 0.2 is 1.

In the same way, 1 + 0.2 is 1.2.

1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.

So we can see that the difference

between each of the terms is 0.2.

Answer:

+.2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

1 - .8 = .2

Check by subtracting the second term from the third term

1.2 - 1 = .2

The common difference is .2

Answer:

D. First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.



Step-by-step explanation:

Answer:

164

Step-by-step explanation:

B for brackets

O for of

D for division

M for multiplication

A for addition

S for subtraction

You first start with the brackets (20) and multiply with 4 which is equal to 80 and then add it to 84 which makes 164

I hope this helps

Answer:

61

Step-by-step explanation:

x+x+1+x+2 = 183

3x+3 = 183

3x = 180

x = 60

Second number = x+1 = 61

Answer:

b

Step-by-step explanation:

Answer: Linear model

The fact the height increases the same amount each time indicates we have a linear model. The slope is the rate of growth, so it is 2.5 feet per season.

Keep in mind that the linear model only works for a specific interval and doesn't work forever (the tree can't grow forever and at the same rate). A more realistic scenario is that the tree's height grows quickly at first and then slows down over time. For this type of scenario we would use a logarithmic model.

The linear model best fits the given situation option (B) linear is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The height of a tree increases by 2.5 feet each growing season.

Let h is the height and s be the number of seasons.

The relation between h and s:

h = 2.5s

Thus, the linear model best fits the given situation option (B) linear is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

28\3

Step-by-step explanation:

Step-by-step explanation:

30-option c

because only crows r black in appearance

31-option d

thats the option which represents the question asked

Answer:

209

Step-by-step explanation:

march = 19 miles

april = 19 times 2 = 38

may = 38 times 4 = 152

so that'd be 19 + 38 + 152 = 209 miles in total.

209 miles Mateo ran in the three months.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

Mateo ran in March = 19 miles,

Also,

Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles

Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.

Total distance ran by Mateo in all three months

= ran in March + ran in April + ran in May

= 19 + 38 + 152

= 209 miles.

Mateo ran 209 miles in all three months.

To know more about Simplification on :

https://brainly.com/question/2804192

#SPJ2

Answer:

245 + k

Step-by-step explanation:

Since we know that,

245 = amt. of pies baked for the bake sale last year.

--> and k = (unknown) amt. of pies baked for the bake sale this year.

Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.

last year + this year =>

respectively, 245 and k

Thus, we get 245 + k

Answer:

Step-by-step explanation:

Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.

x + 2x + 5 + 6x - 17 + 3x + 2 becomes

12x - 10

Answer:

The rule of the transformation is 6 units up and 3 units to the right [tex]T_{(3, \ 6)}[/tex] and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] which gives;

Length from E(3, 2) to F(9, 5) = [tex]l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

Answer:

7:35

Step-by-step explanation:

we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours

Answer:

for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x

Step-by-step explanation: