solve equations using inverse operations HELP NOW!!

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:

a) (6,4)

b) (5, 4.5)

Step-by-step explanation:

much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.

to set context, a midpoint would break the segment into a ratio of 1:1.

so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:

[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]

for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.

[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]

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:

8 x 13 = 104 yd^2

Step-by-step explanation:

To find the area of a rectangle we use the basic formula:

L x W

In this case 13 is your width and 8 is your length, multiply the two given lengths to get your area which is 104.

Answer:a

a

Step-by-step explanation:

i took the test

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

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:

tn=a+(n-1)d

tn=22+(n-1)4

tn=22+4n-4

tn=4n+18

Answer:

6π cm

Step-by-step explanation:

Answer:

A.

x = 30

y = 10√3

Step-by-step explanation:

Reference angle = 30°

Opposite = y

Adjacent = x

Hypotenuse = 20√3

✔️To find x, apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = x/20√3

20√3 × Cos 30 = x

20√3 × √3/2 = x (cos 30 = √3/2)

(20√3 × √3)/2 = x

(20 × 3)/2 = x

60/2 = x

30 = x

x = 30

✔️To find y, apply SOH:

Sin 30 = Opp/Hyp

Sin 30 = y/20√3

20√3 × Sin 30 = y

20√3 × ½ = y (sin 30 = ½)

(20√3 × 1)/2 = y

(20√3)/2 = y

10√3 = y

y = 10√3

OPTION A , C,D

are the correct choices because all of them are equal to √5

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:

Solution given:

CD=18m

In ∆ ACD

Tan 35=opposite/adjacent

Tan 35=CD/AC

AC=18/Tan35

AC=25.7m

again

In ∆ BCD

Tan 60=opposite/adjacent

Tan 60=CD/BC

BC=18/tan60

BC=10.4

we have

AC=AB+BC

AB=25.7-10.4

AB=15.3

Distance between A and B point is 15.3 metre

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

Step-by-step explanation:

A density curve for all the possible ages between 0 years and 25 years on the shape of a triangle. 0.04

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:

A withdrawal of 72 dollars & E) a depth of 72 feet

Step-by-step explanation:

It is negative, which means subtract. So we will take away 72 dollars.

A depth of 72 feet is also negative since we are going down.

Answer:

A

Step-by-step explanation:

...................

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

Answer:

C

Step-by-step explanation:

Though you may think that u can change that piece to there, but the possibility is very less

Answer:

44.402

Step-by-step explanation:

Equation

SA = 2L*W + 2L*H + 2*WH

Givens

L = 2.7

W=1.13

H = 5

Solution

LW = 2.7 * 1.13  = 3.051

LH = 2.7 * 5  =    13.5

WH = 1.13 * 5  =  5.65

SA = 2*3.051 + 2*13.5 + 2*5.65

SA = 6.102 + 27 + 11.3

SA = 44.402

Answer:

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

Answer:

The answer for this problem is 2xy^6 * 7x^7y^4 (C).

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that [tex]p = 0.05[/tex]

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that [tex]n = 15[/tex]

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]

0.0006 = 0.06% probability of this occurrence

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: