Mathematics Middle School

Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?

Answers

Answer 1

Jenna = 18
Sister = 14

Related Questions

Evaluate 46 – 3v for v = 5.

Answers

31. Plug in 5 for v and multiply that by 3, then subtract

the answer for this question is 320

Find 350% of 49 thank you

Answers

The word "of" when under in a word problem usually means "multiplied by."
Therefore we can change the word problem to an expression:

[tex] 350\ percent * 49 [/tex]
"percent" literally means "per hundred," so change the expression again:

[tex] 350\ percent * 49\\\\350/100 * 49\\\\3.5 * 49\\\\3*49+49/2\\\\147+24.5\\\\\\171.5[/tex]

Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)

Word Bank:
definition of a midpoint
triangle RSX is congruent to triangle RXT
Definition of right angles
right angles are congruent
CPCTC
Reflexive property

Answers

Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: [tex]\triangle SXR \cong \triangle TXR[/tex]
Answer for part F: CPCTC

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

Explanations:

Part A:

We are given that [tex]\overline{RX} \perp \overline{ST}[/tex] which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

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Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another.

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Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof.

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Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

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Part E:

Writing [tex]\triangle SXR \cong \triangle TXR[/tex] means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B).

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Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.

What is the slope of the line passing through (-3, 5) and (5, -3)?

slope = -1
slope = 0
slope = 1
no slope

Answers

we know that

the formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

in this problem we have

[tex]A(-3,5)\ B(5,-3)[/tex]

substitute the values in the formula

[tex]m=\frac{-3-5}{5+3}[/tex]

[tex]m=\frac{-8}{8}[/tex]

[tex]m=-1[/tex]

therefore

the answer is the option

[tex]slope=-1[/tex]

Answer:

The Slope Is -1

Step-by-step explanation:

How do I solve: 3w/x=6e

Answers

The answer is ×=w/2e.thats it

WILL GIVE BRAINLIEST!

Answers

first, simplify the equation to y = 1/3x - 2.

(a)
So, 1 point would be (0,-2)
2nd point would be (3,-1)
3rd point would be (6,0)
4th point would be (9,1)

(b)
just plot these points, and then draw a line between them.

Please mark me brainliest!!!!!!!!!!!!!!!!!!!!!!

Famous quote: Be content with what you have; you will be richest person on the face of this earth

Fill in this equation with your own negative and positive numbers
Positive number + positive number - positive number + negative numbe r- negative number

=6___+___-___+___-___=6

Select any two non-equal negative integers at random and find their difference(always subtract the first number from the second number). Estimate the probability of getting a positive number as a result.

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just put in everything as 6
Hope it helped!

Chang made $247 for 13 hours of work at the same rate,how many hours would he have to work to make $323?

Answers

247 / 13 = 323 / x....247 to 13 hrs = 323 to x hrs
cross multiply
(247)(x) = (323)(13)
247x = 4199
x = 4199 / 247
x = 17 hrs <===

247 / 13 = 19

He makes $19 an hour.

323 / 19 = 17

He will need to work 17 hours to earn $323.

Hope this helps!

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many more points did she score in the second game?

Answers

It will be 36×6 because you have to times

It will be 3*6 hope it helps

HELP ASSSAP WITH THIS QUESTION

Answers

the answer is linear and increasing. look at it.... it goes up.

the hallway id 440 inches long. 2.5 feet of the hallways length is not carpeted. What is the length, in inches, of the hall that is carpeted

Answers

2.5 feet = 30 inches.

Let L = length not carpeted

L = 400/30

L = 13.3333333333

L = 13.33 inches

Final answer:

To find the carpeted part of the hallway, convert the length of the uncarpeted part from feet to inches by multiplying it by 12. Then subtract this length from the total length of the hall in inches. Hence, the carpeted part of the hallway is 410 inches long.

Explanation:

The subject of the problem is mathematics and it is about converting feet to inches to solve a subtraction problem. There are 12 inches in a foot. So, the uncarpeted part of the hallway, which is 2.5 feet, is 2.5 * 12 = 30 inches.

Now, we subtract the uncarpeted length from the total length of the hallway to find the carpeted length. The hallway is 440 inches long and if we subtract the 30 inches (uncarpeted part) from it, we will find the length of the carpeted part.

So, 440 inches - 30 inches = 410 inches. Hence, the carpeted part of the hallway is 410 inches long.

Learn more about Feet-to-inches Conversion here:

https://brainly.com/question/30775500

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How would a coupon change the unit rate/price per item?

Answers

It would decrease it as they usually have offers with coupons.

PLEASE HELP ME FIND THE PROPORTIONAL RELATIONSHIP AND EXPLAIN IT AND HOW YOU KNOW PLEASEEEE

Answers

The three pieces of data are given.
1/4 miles in 2/3 min
1/8 mile in 1/3 min
3/8 mile in 1 min

Each of them can be though of as a division or a fraction.
If you multiply the numerator and denominator of a fraction, you get an equivalent fraction.

Start with 1/4 mile in 2/3 min.
Divide both the distance and time by 2.
You get 1/8 mile in 1/3 min. This is the second piece of data, so the first and second pieces of data are proportional.

Now start with the second piece of data:
1/8 mile in 1/3 min, and multiply both by 3.
You get 3/8 mile in 1 minute. This is the third piece of data.

That means all pieces of data are proportional.

serious I need your help plz

Answers

Greetings!

Solve for x.
[tex] \frac{x+11}{8} =-3[/tex]
Multply both sides by 8 to get rid of the fraction.
[tex] 8(\frac{x+11}{8}) =8(-3)[/tex]
[tex]x+11=-24[/tex]
Add -11 to both sides.
[tex](x+11)+(-11)=(-24)+(-11)[/tex]
The Answer Is:
[tex]x=-35[/tex]

Hope this helps.
-Benjamin

1/7 x 2/3 in simplest form

Answers

1/7 × 2/3

multiply the numernators

1 × 2 = 2

multiply the denominator
7 x 3 = 21

1/7 × 2/3 = 2/21

the answer is 2/21

Final answer:

To solve 1/7 x 2/3, you multiply the numerators together and the denominators to get 2/21. However, you can simplify the fraction to get your final answer, which is 1/10.

Explanation:

In mathematics, when you are multiplying fractions, you multiply the numerators together and the denominators together. So, in the case of the problem 1/7 x 2/3, you would multiply 1 (the numerator of the first fraction) by 2 (the numerator of the second fraction), and 7 (the denominator of the first fraction) by 3 (the denominator of the second fraction).

This results in 2/21. However, both 2 and 21 are divisible by 2, so we simplify this fraction to get the answer 1/10.

Learn more about Multiplying Fractions here:

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Imamu pays $30 each month for his gym membership. What is the change in the amount of money in his account after 2/3 of a year

Answers

The answer is $240 because 2/3 in a years have 8 month so just multiply 3*8 which give you 24 and just add a zero.

Your answer is: $240.

Thank you

Have a great day :).

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55. What is the youngest age Julio can be?

Answers

Hello, Julio can be no younger then 11. Hoped I helped!

Answer:

11 years

Step-by-step explanation:

Let the age of Julio is x.

Age of Julio's father = 4 x

According to the question, the sum of their ages is not less than 55.

x + 4x > 55

5 x > 55

x > 11

Thus, the youngest age of Julio is 11 years.

Make a 10 or 100 to subtract mentally 76-59 =

Answers

I don't understand what you're saying. If you mean rounding, it would be rounded to 80-60, which would equal 20.

The answer to 76-59 equals 17

A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truck in miles per hour?

Answers

120/7/4
120/1*4/7=480/7= 68 and 4/7

The formula for speed is:

[tex]speed = \frac{distance}{time} [/tex]

Plugging this in:

[tex]speed = \frac{120}{ \frac{7}{4} } [/tex]

Solving:

[tex]speed = 68.57[/tex]

Hope this helps!

48 divided by 2 times 0.9+0.3

Answers

The answer will be 2.88 hope this helps

48 ÷ 2 = 24
0.9 + 0.3 = 1.2
24 x 1.2 = 28.8

hope this helps.

Multiply 7 times 462 using place value and expanded form

Answers

7 * 400 * 60 *2= 3234

Suppose the market demand for a good is described by the equation P = 80 - 2Q. If a change in market supply results in price decreasing from P0 = $60 to P1 = $50, then the resulting change in consumer surplus is:

Answers

Calculate Q (consumer surplus) when P = 60

[tex]60=80-2Q[/tex] ⇒ Subtract 60 from both sides
[tex]60-60=80-2Q-60[/tex]
[tex]0=20-2Q[/tex] ⇒ Add 2Q to both sides
[tex]0+2Q = 20-2Q+2Q[/tex]
[tex]2Q=20[/tex] ⇒ Divide both sides by 2
[tex] \frac{2Q}{2} = \frac{20}{2} [/tex]
[tex]Q=10[/tex]

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Calculate Q when P = 50

[tex]50=80-2Q[/tex]
[tex]50-50=80-2Q-50[/tex]
[tex]0=30-2Q{/tex]
[tex]0+2Q=30-2Q+2Q[/tex]
[tex]2Q=30[/tex]
[tex]Q=15[/tex]

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As the value of P decreasing, the value of Q increases from 10 to 15

is 1.875 rational or irrational? Explain

Identify the number as rational or irrational square root of 112

Answers

It has to be irrational. the square root of 112 is 10.58, which is irrational.

how do you work ratio tables in 7th grade

Answers

Ratio tables are like proportional relationships (if you know what that is), and you have to do this:
6:9 is related to a:45 we don't know a, but since the prior ratio is related to this one, you simply take 9 times what is 45. The answer is 5, so then you multiply 6 times 5 to get 30. Then keep building off of that. The next problem will be 48, then 72.
The bottom ratios start with 10:15. 15 times 3 is 45 so 10 times 3 is 30. The next one is 100, then 70. Hope this helps, sorry that it's confusing!

write the number that has zero in the tens place.draw a quick for your number

Answers

A number with a zero in the tens place would have to be a three digit number. For example: 203, 304, 506, etc.

[tex](1 + 0.12 \div 12) { 12 \times 1 \div 2} - 1 \div 0.12 \div 12 = [/tex]

Answers

The answer is:
________________________________________________________
" [tex]\frac{4829}{900} [/tex] "; or, "5[tex] \frac{329}{900} [/tex]" ;
or, write as: "5.366" .
________________________________________________________
Explanation:
__________________________________
Given: " (1 + 0.12 ÷ 12)12 * 1 ÷ 2− 1 ÷ 0.12 ÷ 12 = ? " ;
___________________________________________

First, start with the "parentheses" ;
______________________________
"(1 + 0.12 ÷ 12) = ??

Start with the division: " 0.12 ÷ 12 = 0.01 " .

"(1 + 0.01)" = (1.01) .

We have: "1.01 (12)
Given: " (1.01)12 * 1 ÷ 2 − 1 ÷ 0.12 ÷ 12 = ? " ;

So, 1.01 * 12 = 12 .12 .
______________________
" 12.12 * 1 ÷  2 − 1 ÷ 0.12 ÷ 12 = ? " ;

Note: Using order of operations, treat this problem as:

" [ (12.12 * 1) ÷  2 ] − [ (1 ÷ 0.12) ÷ 12 ] = ? " ;

→ ( 12.12 ÷ 2 ) − (25/3) ÷ 12 ] = ? " ;

→ ( 6.06) − { (25/3) * 1/12) } = ?

→ ( 6.06) − { ( 25* 1) / (3*12) = ?

→ ( 6.06) − { ( 25* 1) / (3*12) = ?

→ ( 6.06) − (25/36) ;

→ 6 [tex] \frac{6}{100} [/tex] − [tex] \frac{25}{36} [/tex]  ;

→ 6 [tex] \frac{3}{50} [/tex] − [tex] \frac{25}{36} [/tex]  ;

Rewrite " 6 [tex] \frac{3}{50} [/tex] " ; as an improper fraction:

→ " 6 [tex] \frac{3}{50}[/tex] " = "[ (50*6) + 3 ] / 50 = [tex] \frac{303}{50} [/tex] ;
__________________________________________
→ 6 [tex] \frac{3}{50} [/tex] − [tex] \frac{25}{36} [/tex] ;

= [tex] \frac{303}{50} [/tex]  − [tex] \frac{25}{36} [/tex] ;

= [tex] \frac{(303*36)-(25*50)}{50*36} = \frac{10,908-1250}{1800}[/tex] ;

= [tex] \frac{9658}{1800}[/tex] ;
_________________________________
→ Divide EACH SIDE of the "fraction" by "2" ; to simplify:
____________________________________________________
→ [tex] \frac{9658/2}{1800/2}[/tex] ;
=[tex]\frac{4829}{900} [/tex] = 5[tex]\frac{329}{900} [/tex] ; or, write as:

(5 + (329 ÷ 900) = → 5.3655555555555556 .
→ round to: 5.366 .
________________________________________________________

james bought a cheeseburger, fries, and a drink for dinner. the cheeseburger was three times the price of the fries and the drink and the fries were the same price. if the entire meal was 12.50, what was the price of each item

Answers

Final answer:

The price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.

Explanation:

Let's say the price of the fries is x. According to the given information, the cheeseburger is three times the price of the fries and the drink, and the fries and the drink have the same price.

So, the price of the cheeseburger would be 3x, and the price of the fries and the drink would be x.

Given that the entire meal costs $12.50, we can set up the following equation: x + x + 3x = 12.50.

Simplifying the equation yields 5x = 12.50. Dividing both sides by 5, we find that x = 2.50.

Therefore, the price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.

there are 156 students in 6 different classrooms. What is the ratio of students that classrooms? If there are 80 boys what is the ratio of boys to girls?

Answers

156-80=numb of girls
numb of girls: 76

Ratio of boys to girls=80:76
=20:19

Ratio of students in classrooms= 156:6
=26:1

(assuming that each classroom has the same number of students)

The easiest way to find out ratios is to divide the total (in this case, students) by the divider (in this case, the classrooms).

156 ÷ 6 = 26

The ratio of students to classrooms is 26 students per classroom, or 26 : 1.

In this case, you need to figure out how many girls there are first.

156 - 80 = 76

Because you don't want to end up with a decimal, you need to find the GCF.

The factors of 76 are: 1, 2, 4, 19, 38, 76
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Your GCF is 4, which is number you divide your total number of boys and total number of girls by.

80 ÷ 4 = 20
76 ÷ 4 = 19

The simplest ratio of boys to girl is 20 boys for every 19 girls, or 20 : 19

A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4 kilometers per hour. The cheetah travels a total of 21.5 meters. What is the total change in the cheetah's speed during this time?

Answers

it's speed reduces -3.4 km/h per meter
multiply distance traveled by reduction:
-3.4 x 21.5 = -73.1

The answer is -73.1

Answer: its -73.1 I legit did the quiz for 3.15

what are 3 solutions to -4x+3y=-6

Answers

Let's solve for x.−4x+3y=−6Step 1: Add -3y to both sides.−4x+3y+−3y=−6+−3y−4x=−3y−6Step 2: Divide both sides by -4.−4x−4=−3y−6−4x=34y+32Answer:x=3/4y+3/2

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