Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?

Answers

Answer 1
to answeryou need to subtract 14 from 56

Related Questions

For a percentage increase of 36%, state the multiplier

Answers

if we had x and increased it by 36%, we would get

x+0.36x
1x+0.36x
if we undistribute x then
x(1+0.36)
1.36x

the multiplier is 1.36

Is the number x positive? (1) on the number line, 0 is closer to x – 1 than to x. (2) on the number line, 0 is closer to x than to x + 1?

Answers

(1) on the number line, 0 is closer to x – 1 than to x

x is positive, let x = 5, then x-1 = 5-1 = 4, then zero is close to 4 than 5

-------------------------.------------------------.-----------------------

(2) on the number line, 0 is closer to x than to x + 1

x is positive, as zero is close to 5 than 5+1=6



I hope that helps!




An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Round the answer to the nearest whole number of metres.

Answers



Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.

The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps------------- x
x=(10 laps * 80π m) / 1 lap=800π m

Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days---------------- x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m

Solution: 12566 m

Hope This Helps!!

A square piece of cloth, which is 10 meters on a side, is cut across the diagonal to form two right triangles. What is the length of the diagonal cut?

Answers

A² + B² = C²
So 10² + 10² is 200
The square root of 200 is about 14.14
10² + 10² ≈ 14.14²

Hope that helps :)

Answer:

D

Step-by-step

The answer is the square root of 288

Two candidates running for the same office received a total of 1,926 votes. If the winning candidate had 410 more votes than the other candidate, how many votes did the winner receive?

Answers

Answer:

The number of votes received by winner is: 1168

Step-by-step explanation:

Let the number of vote that is received by winning candidate be: a

and the number of votes received by other candidate be: b

It is given that:

Two candidates running for the same office received a total of 1,926 votes.    

i.e.

         [tex]a+b=1926--------------(1)[/tex]

and

The winning candidate had 410 more votes than the other candidate.

This means that:

          [tex]a-b=410--------------(2)[/tex]

Now on solving the equation by the method of elimination .

i.e.  on adding both the equation we have:

[tex]2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168[/tex]

Now on putting the value of a in equation (1) we get:

[tex]1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758[/tex]

         Hence, the answer is:  1168

The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?

Answers

density = mass/ volume

volume = mass/ density

volume = 5625 / 15 = 375 cm^3


volume = l x w x h

375 = 5 * 3 * X

375 = 15

x = 375/15 = 25

height = 25 cm

The height of the object is 25 cm and this can be determined by using the formula of density and volume.

Given :

The density of an object can be calculated by dividing the object's mass by its volume.A rectangular prism has a density of 15g/[tex]\rm cm^3[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm.

The height of the object can be determined by using the formula of density. The formula of density is given by:

[tex]\rm d = \dfrac{m}{V}[/tex]

where d is the density, m is the mass, and V is the volume.

Now, substitute the known terms in the above formula.

[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]

Now, the volume of an object is given by:

[tex]\rm V = l \times w\times b[/tex]

Now, substitute the known terms in the above formula.

375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h

h = 25 cm

For more information, refer to the link given below:

https://brainly.com/question/6034174

1)Solve G(x) for the given domain.
G(x) = 3x 2 - 2x - 1
G(6) =

a)287
b)95
c)23

2)Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x 2 + 2
F(x2) =

3)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(-1) =

a)-4
b)-6
c)2

4)Solve F(x) for the given domain.

F(x) = x 2 + 3x - 2

F(3) =

a)13
b)16
c)40


Answers

Answer:

1-287

2- x^4 + 2

3 -6

4 16

Step-by-step explanation:

Answer:

1) is 95   G(6) = 3(6) ^2 - 2(6) - 1

2) is F(x²) = x⁴ + 2

3)is -4      f(-1)=-1^2+3(-1)-2

4) is 16    F(3) = (3) 2 + 3(3) - 2

Step-by-step explanation:

2) F(x) = x 2 + 2

F(x2) =        F(x^2) = (x^2)^ 2 + 2x^4+2

=    f(x^2)=x^4+2

How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent

Answers

[tex]\bf \qquad \textit{Continuously Compounding Earned Amount} \\\\ A=Pe^{rt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$400\\ r=rate\to 9\%\to \frac{9}{100}\to &0.09\\ t=years\to &3 \end{cases} \\\\\\ A=400e^{0.09\cdot 3}[/tex]

notice, "e" is the Euler's constant, and yes, is on your calculator.

Show all work please!!!!!!

1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?

2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?

3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).

Answers

The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
    (0+2)/2 = 1
     (2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
     sqrt of (7 -1)^2 + (-7 - 1)^2
     sqrt of (6)^2 + (-8)^2
     sqrt of 36 + 64
     sqrt of 100
     10

Hope this helps!

Each of the 212 pages in the largest fashion catalog measured 1.2m by 1.9m. whats was the perimeter of a page what was the area

Answers

Final answer:

To find the perimeter of the catalog page, we add the length and width and multiply by 2, resulting in 6.2 meters. For the area, we multiply the length by the width, resulting in 2.28 square meters.

Explanation:

The question asks for the perimeter and area of a page from a fashion catalog with dimensions of 1.2 meters by 1.9 meters. To calculate the perimeter of a rectangle, the formula is 2(length + width), and to calculate the area, the formula is length × width.

For the perimeter:
2(1.2m + 1.9m) = 2(3.1m) = 6.2 meters.

For the area:
1.2m × 1.9m = 2.28 square meters.

really need a answer and explanation for this

Answers

Plugging x in, we get -3(-3)^2+7. -3*-3=9, so we have -3*9+7=-27+7=-20

For each handmade greeting card jacqui sells, she makes a profit of $0.35. In one week , she made a profit of $42 .she sells the cards for $0.75 each.

Part A: About how much did she earn before paying expenses?

Answers

 earn before paying expenses  <---- Revenue = price * quantity

so, how many did she sell?  well, we know she makes a profit of 0.35 for each, and in that week, she made a total profit of 42 bucks, so she sold 42/0.35 or 120 greeting cards.

quantity = 120
price     = 0.35

Revenue = price * quantity.  <---- that's how much she earned before expenses.

Answer:

$ 90

Step-by-step explanation:

Given,

The profit in each card = $ 0.35,

If she sold x cards,

Then the total profit she earned = profit in each card × number of cards

= 0.35x dollars,

According to the question,

0.35x = 42

[tex]\implies x = \frac{42}{0.35}=120[/tex]

Thus, she sold 120 cards,

Now, if the selling price of each card = $ 0.75,

Hence, total earning before paying expenses

= selling price of each card × total cards

= 0.75 × 120 = $ 90

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
enough information is given, write not enough information.

Answers

Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

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

Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

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

Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

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

Question 11d)

We do not have enough information to tell whether this shape congruent or not

Answer: on d. it's, you

weren;t given enough information

Step-by-step explanation:

ur welcome.

I need the answer Algebra question

Answers

He had 32 dollars at the beginning of the day

Answer: $32

Step-by-step explanation:

add 7+9+12+4 =32

In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't understand

Answers

a is independent while b is dependent.

This is because b is equal to a decreased by 2. Anytime a changes, then b does as well. B can only change in accordance with a.

How many lines does wide ruled paper have?

Answers

Wide ruled paper has typically a total of 27 lines. The space of a wide ruled notebook paper is 8mm. The ruled paper and line paper is similar to each other but college ruled paper is different from wide ruled paper because wide ruled paper has fewer and bigger lines than college ruled paper.

How do you solve -2(6x+3)=-27–5x ?

Answers

Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)

Simplify the expression 3bx4b

Answers

Hfhhggjgjbjkyjghjhnhughghyhhh
Hello there!

This is a simple act of multiplication:

3 x 4 = 12
b x b = b²

Therefore your answer is 12b²

Hope This Helps!!!

Select the correct answer.
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there. How much must she buy before her savings equal her membership fee?

$10.00
$50.00
$100.00
$1,000.00

Answers

We want 10% = 0.1 = $10
Then to work out 100% we divide $10 by 0.1
$10/0.1 = $100

What's the answer to 3/2(16n+3)=24n

Answers

N is equal to negative 4

3 times 2 IS 6
Take 6 times 16n then take 6 times 3
Now you have 96n plus 18 equals 24n
Subtract 96n from both sides
18 equals negative 72n
Divide both sides by 18 you get 4 now u can't have a negative n so divide each by a negative so now u have n equals -4

What is the midpoint of the line segment whose endpoint are (-8,12) and (-13,-2)

Answers

The two points (-8,12) and (-13,-2) have x coordinates of -8 and -13. Add these x coordinates up to get
-8 + (-13) = -8 - 13 = -21

Now divide that result by 2 to get -21/2 = -10.5

This value is the x coordinate of the midpoint.

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

The y coordinates of (-8,12) and (-13,-2) are 12 and -2

Add these values up to get 12+(-2) = 12-2 = 10

Now divide that result by 2: 10/2 = 5

The y coordinate of the midpoint is 5

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

Answer: (-10.5, 5)

On Monday, three hundred twenty students went on a trip to the zoo. All seven buses were filled and five students had to travel in cars. How many students were in each bus?

Answers

The way I see it, 325 students went to the trip and 5 had to go in cars so 325 - 5 = 320 then you devide it by 7 because that's the total number of buses which you should get 320/7 Which would equal to 45 students on each bus..

325 - 5 = 320/7 = 45

Hope this helps!
(Btw I rounded to 45 because the whole number was like 45.71428571428571)

A garden table and a bench cost $1025 combined. The garden table costs $75 more than the bench. What is the cost of the bench?

Answers

g=garden table
b=bench

g+b=1025
g=75+b
subsitute
75+b+b=1025
75+2b=1025
minus 75 both sies
2b=950
divide both sides by 2
b=475

the bench costs $475

11. What other information do you need to prove the triangles congruent using the AAS Congruence Postulate?

BAC=DAC
AV=AD
AB=AD
CBA=CDA


Answers

From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.

 We are also given that angle BAC and angle DAC are equal.

If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC

Correct answer: fourth option

From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.

 We are also given that angle BAC and angle DAC are equal.

If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC

Correct answer: fourth option

What is −20÷45 ?−25−16−116−125

Answers

-20÷45= -.4444444444 (repeating)
-25-16-116-125=-282

Its -25 i just did the test


Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?

1 mile 1,609 meters

Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help

Answers

The answer is 
(D) Talia swims about 1.5 miles per hour faster than Alina.

Answer:  

Talia swims about 1.5 miles per hour faster than Alina.

Step-by-step explanation:

Since, 1 miles = 1609 meter and 1 hour = 60 seconds,

⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]

⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]

Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600

[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]

[tex]=1.11736111\text{ meter per seconds}[/tex]

And, the speed of Talia = 1.8 meter per second,

Since 1.8  > 1.11736111

⇒ Talia swims faster than Alina.

And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds

= 0.68263889× 3600/1609 miles per hour

= 1.52734618 miles per hour ≈ 1.5 miles per hour ,

Fourth option is correct.

A car dealership increased the price of a certain car by 13% . The original price was $41,200

Answers

there r 2 ways to do this...

(1) 41,200 + 0.13(41,200) = 41,200 + 5356 = 46,556 <=
or
(2) 41,200 * 1.13 = 46,556 <=

Name the property shown by the statement.
3(x + 7) = 3x + 21

Answers

Distributive property
The property they used is Distributive Property

The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.

causation



correlation



association



no relationship

Answers

Final answer:

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.

Explanation:

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.

Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.

For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.

The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.

The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.

For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.

It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.

what is (4−5y)−2(3.5y−8)?
Thank you!!

Answers

-5.2y is what i got by simplifying it


(4-5y)-(7y-16)
(4-5y)-7y-16
4-5y-7y-16
4-12y-16
-12y-12
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