Mathematics College

Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?

Answers

Answer 1

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer 2

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

Related Questions

Using Properties to Simplify Expressions
Instruction Active
Matching Equivalent Expressions
Match each expression on the left with an equivalent expression on the right
PLS HELP

Answers

Answer:

1) 2x-3 = x -3 + x

2) 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x+0 = 3x

5)  [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

Step-by-step explanation:

We need to match each expression on the left with an equivalent expression on the right

The expressions are equivalent if the have the same results.

1) 2x - 3

Looking at the options the best match is:

x -3 + x

When solve we get:

2x-3

So, 2x-3 = x -3 + x

2) 2x - 6

Looking at the options the best match is:

-6 + 2x

Because according to commutative property: a+b = b+a

So, 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]

First simplifying the given expression:

[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]

Looking at the options, -6.9+4.9 = -2

So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x + 0

Looking at the options the best match is:

3x

Because, adding 0 in 3x will result in 3x

So, 3x+0 = 3x

5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]

First simplifying:

[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]

Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

[tex]=\frac{-3x+4+1x}{2}\\=\frac{-2x+4}{2}\\=\frac{2(-x+2)}{2}\\=-x+2\\or\\=2-x[/tex]

So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

What is this equation in slope intercept form

Answers

Y= 2x -4 is the answer

(50pts)Solve for x:

a

7.125
b

6
c

8
d

4.125

Answers

Answer:

b. 6

Step-by-step explanation:

[tex](16x + 9) \degree = 105 \degree \\(corresponding \: \angle s) \\ \\16x + 9 = 105 \\ \\ 16x = 105 - 9 \\ \\ 16x = 96 \\ \\ x = \frac{96}{16} \\ \\ x = 6[/tex]

The correct answer is 6

There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?

Answers

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20

Answers

Answer:

0.042341

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples

Hence:

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

P-value from Z-Table:

P(x<20) = 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Calculation:

Here we used z score formula

z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samples

So,

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

Now

P-value from Z-Table:

P(x<20) = 0.042341

Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults

What is the answer to this question?

Answers

Answer:

D

Step-by-step explanation:

so they ran the trial ten times so now you have to aks how many times did they get heads

which would be 2/10 times

you want the accuracy of which they got so divide 2/10

we know the probability of getting heads is 50%

so when you calulate it, it will give you 0.2 use the percent button and get 0.1

a Zoo ticket cost $13 for adults in about $8 for students if a company of 125 people wanted to take his employees to the zoo how much would they have to pay ​

Answers

Answer:

Assuming there all adults, it would be $1625

Step-by-step explanation:

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

(-7-3i)(11-8i)
Simplified into the a+bi form

Answers

Answer: what

Step-by-step explanation:

9x + 4

8x - 4

4x + 17

If the perimeter is 374 units, find the value of x and the area of the triangle.

The value of x is

The area is

square units.

Answers

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

Need Heeeeeelp please ...

Answers

the answer is red of all

A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.

A rhombus ABCD is shown with diagonal AC equal to 18. 3 feet and diagonal BD equal to 13.8 feet

What is the area of the farm? (1 point)

a
73.2 square feet
b
111.2 square feet
c
126.27 square feet
d
168.36 square feet

Answers

Answer:

c  126.27 square feet

Step-by-step explanation:

sum of two triangles

18.3 * (13.8/2) * 2 = 126.27

A piece of furniture has a retail price of $780 and it’s on sale at a 20% discount what will the sale price of the piece of furniture before taxes

Answers

Answer:

624$

Step-by-step explanation:

Is Sue´s answer correct? if not, why?

Answers

She distributed corrected.
She simplified correctly.
The solution is indeed none

Solution: Sue is correct

What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4

Answers

Answer:

-5, -7 or its -7, -5

Step-by-step explanation:

Answer:

-7 -5

Step-by-step explanation:


Round 1.9578 to 1 decimal ​

Answers

Answer:

2

Step-by-step explanation:

the first decimal is 9

9>5 so by rounding 1.9578 to 1 decimal we get 2

The scatter graph shows the scores of 16 students on the biology and physics tests

Answers

Step-by-step explanation:

85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer

the ratio of boys to girls in a group of 2:1. if there are 22 more boys than girls, work out how many people there are in a solo

Answers

Answer:

There is 11 girls but 33 people in solo

PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

For a science experiment, students need to find 25% of 60 grams. How many grams is that?

Answers

Answer:
15 grams.

Explanation:
25% of 60 = 15

25624 divided by 2/3

Answers

Answer:

38436

Step-by-step explanation:

(25624/1) * (3/2) = 76872/2

76872/2 = 38436

What is the angle measurement of CBD?
A
U
68°
D
B
20°
229
Ο Ο Ο Ο
29ο
1
25°
24

Answers

The angle measurement is 68 which is a right?

Jacelyn charges $9 per hour for umpiring softball games. If u represents Jacelyn's total fee after umpiring for h hours,
which equations can be used to model the situation?

Answers

how many hours? you didnt tell

For which line is the slope least?

Answers

I would definitely that the

1/6(x-5)=1/2(x+6) help

Answers

Answer: x= -23/2

Step-by-step explanation:

multiply both sides of the equation by 6

x-5=3(x+6)

distribute 3

x-5=3x+18

move variables to lest-hand side and change sign

x-3x=18+5

like terms

-2x=23

the divide both sides by -2

x= -23/2

Please determine x.

Answers

Answer: x=158

Explain: 3 triangle corners = 180
180-90-68 = 22
Flat corner = 180
=> x=180-22=158

HELP! ASAP!! Will Mark brainliest!

Answers

I think it’s D
Sorry if I’m wrong

Answer:

The Answer is D.

Step-by-step explanation:

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If A = 4x2 + 9x - 5 and B = 6x2 – 3x - 9, then A - B equals

Answers

Answer:

1 I think I'm not 100% sure though

What is 8 2/5 minus 5/8

Answers

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

i need help with this!! i have to get my hw done quick!!

Answers

Step-by-step explanation:

221+w=274..................

.......

Answer:

53 + 221 = 274

Step-by-step explanation:

I'm pretty sure its saying

w + 221 = 274

and in this case, w = 53

because if you subtract 274 by 221 you get 53.

Best of luck to you!!!

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