Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?

Answer:

[tex]x = 9.5[/tex]

Step-by-step explanation:

Combine like terms

[tex]9x + 1 - 7x = 20 \\ 2x + 1 = 20[/tex]

Now simply solve

[tex]2x + 1 = 20 \\ 2x = 20 - 1 \\ 2x = 19 \\ \frac{2x}{2} = \frac{19}{2} \\ x = 9.5[/tex]

hope this helps you.

Answer:

y=1/2sin(1/2x)

Step-by-step explanation:

because i use my brain to count

It Is My Work From My Laptop

Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.

This means that:

[tex]x + 100y \geq 1075[/tex]

In which x is the GMAT score and y is the GPA.

Robbin's GMAT score was 800.

This means that [tex]x = 800[/tex]

What must her grade point average be in order to be unconditionally accepted into the​ program?

We have to solve the inequality for y. So

[tex]x + 100y \geq 1075[/tex]

[tex]800 + 100y \geq 1075[/tex]

[tex]100y \geq 275[/tex]

[tex]y \geq \frac{275}{100}[/tex]

[tex]y \geq 2.75[/tex]

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Answer:

21 units

Step-by-step explanation:

[tex] \triangle ABC\sim \triangle DEF... (given) [/tex]

[tex]\huge \therefore \frac{AB}{DE} =\frac{BC}{EF}.. (csst) [/tex]

[tex] \huge \therefore \frac{8.4}{x} =\frac{10}{25} [/tex]

[tex] \huge \therefore x=\frac{25\times 8.4}{10} [/tex]

[tex] \huge \therefore x=\frac{210}{10} [/tex]

[tex]\huge \therefore x=21 [/tex]

Hence, length of DE = 21 units

Answer:

This is the formula to find a lateral area of a right cone

A=1/2bh

Or A=1/2lw

Answer

72is the multiple of 9

Answer: 134.0

Step-by-step explanation: Formula for volume of a cone: pi*r^2 h /3

Plug in the height, h, radius, r, and pi, 3.14:

(3.14) * (4^2) * (8/3)

V = 134.0 inches cubed

Hope this helped.

x = 109

Step-by-step explanation:

1. All of a triangles angles will add up to 180 degrees

2. Take 180 then subtract 48 from 180

3. Your new number is now 132. Take 132 then subtract 23.

4. Answer is 109

Answer:

x=109°

Step-by-step explanation:

In a triangle, all the angles have to add up to 180° and so add and then subtract to find x

48+23=71

180-71=109

so, x=109°

Answer:

Probability is 0.00039, or about a 0.039% chance of occurrence

Step-by-step explanation:

Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]

[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]

- Plug the values & then simplify !

[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]

[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]

[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]

✺ Stay dedicated because great things takes time! ♪

シHope I helped! ♡

☃Have a wonderful day / evening ! ☼

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

-14x + 6

Step-by-step explanation:

-3(4x - 2) - 2x

-12x + 6 - 2x

-14x + 6

Answer:

50%

Step-by-step explanation:

Let X = Green and red

     Y = Red and blue

     Z = Green and blue

( Buy green or red or blue )

⇒ (x + y) + (y + z) + (z + y)  = 25 + 40 + 25

⇒ 2( x + y + z) = 100

∴ x + y + z = 50

Buy at least one shirt = 50%

So, did not buy any shirt = 100 - 50

                                        = 50%

Answer:3

Step-by-step explanation:

Answer:

I put all the steps to factoring, hopefully this helps! ^^

Step-by-step explanation:

-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.

-Determine the number of terms in the polynomial.  

-Look for factors that can be factored further.

-Check by multiplying.

Answer:

Option A,B,C and D  is correct

Step-by-step explanation:

As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.

Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March

Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct

There is greater variability for the month of April. Hence, option D is correct

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be x.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).

After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

[tex](6x)-(-6(x+9))=186[/tex]

Distribute:

[tex]6x-(-6x-54)=186[/tex]

Distribute:

[tex]6x+6x+54=186[/tex]

Simplify:

[tex]12x=132[/tex]

Hence:

[tex]x=11[/tex]

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let h represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

[tex]12h+48[/tex]

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

[tex]24h[/tex]

Leah will catch up when the two expressions are equivalent. Hence:

[tex]12h+48=24h[/tex]

Solve for h:

[tex]12h=48\Rightarrow h=4[/tex]

Leah will catch up with Carrie in four hours.

Question 3)

Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

[tex]x+y=8[/tex]

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

[tex]8x+5y=46[/tex]

Solve the system. We can use elimination. Multiply the first equation by -5:

[tex]-5x-5y=-40[/tex]

We can add this to the second equation:

[tex]3x=6[/tex]

Hence:

[tex]x=2[/tex]

Using the first equation again:

[tex](2)+y=8\Rightarrow y=6[/tex]

So, Paige spent two hours biking and six hours walking.

Answer:

f)0

Step-by-step explanation:

Answer:

Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.

Step-by-step explanation:

When we have the standard deviation for the sample, the t-distribution is used to solve the question.

It does not affect the center of the interval, which is a function only of the sample mean.

Width of a confidence interval:

The width of a confidence interval is a function of the margin of error, which is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.

Answer:

1%

Step-by-step explanation:

707-700=7 tax

700 x tax percentage=7

tax percentage =7/700

Tax percentage= .01 0r 1%

Answer:

Line DC.

Step-by-step explanation:

Point D and Point C are not connected and, therefore, do not form a line.

Geometry

DC is not a line, due to it not being connected.

Answer:

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 16 ft/s

Height = 480 ft

Acceleration due to gravity = 32 ft/s²

To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;

[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]

Where;

Substituting into the equation, we have;

[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]

[tex] 480 = 16t + 16t^{2} [/tex]

Dividing all through by 16, we have;

[tex] 30 = t + t^{2} [/tex]

Re-arranging the quadratic equation, we have;

[tex] t^{2} + t - 30 = 0 [/tex]

We would solve the quadratic equation by factorization;

[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]

[tex] t(t + 6) - 5(t + 6) = 0[/tex]

[tex] (t + 6)(t - 5) = 0 [/tex]

t = -6 or 5

Since we know time can't be negative, we would ignore the value of -6.

Therefore, time = 5 seconds

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer:

The answer is "0.052 and 0.056".

Step-by-step explanation:

For option 1:

Your daughter's opportunity (in sport) (when a person only wins once)

[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]

For option 2:

Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]

So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.

I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

Answer:

[tex]x = \pi \div 4 [/tex]

Answer:

5c + 42 and 9c + 2

Step-by-step explanation:

if a number has a variable next to it then it cannot be combined with a number that is alone.. Therefore there is no exact answer unless the variable has a number that you can replace it with. So basically numbers with the same number can be added together and numbers alone can be added together. If you do the math right then you should get the answer.

Answer: