Sophie's current balance in her checking account is $125.89. What is the final balance after the above transactions were completed?

$

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Answer:

Its B and E

Step-by-step explanation:

PLS MAKE ME BRAINLIEST

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

the area of the trapezoid is 70 in (D)

Answer:

Acute

Step-by-step explanation:

c[tex]c^{2}<a^{2}+b^{2} =Acute\\16^{2}<14^{2}+8^{2} \\252<196+64\\252<260[/tex]

The original price of the train ticket will be £3805.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The original price will be calculated as:-

4 %  =  152.20

1 % =  152.20 / 4

1 %  = 38.05

So 100 percent will be calculated by multiplying by 100 on both sides.

100 % = 38.05 x 100

100% = 3805

Therefore the original price of the train ticket will be £3805.

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okay lets begin with the first part of it which is tan

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

an easy way to remember the ratios ^

we have sin and cos so we can say that the h=41 b= 40 and p is 9

so tan will be [tex]tanA=\frac{9}{40}[/tex]

now csc sec and cot are reciprocals of sin cos and tan

so sinA is 9/41 cscA will be 41/9

cosA is 40/41 secA will be 41/40

tanA is 40/9 cotA will be 40/0

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

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Answer:

wal given south given signal pansy

Answer:

wal given south given signal pansy

Step-by-step explanation:

Trust me! Good luck!

Have a good day!
Hope this helped :)

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

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Answer:

y= -7x + 35

Step-by-step explanation:

(y - 7) = -7(x - 4)

y-7 = -7x + 28

y = -7x + 35

Answer:

2.2 miles

Step-by-step explanation:

Coordinates of Joe's home = (2, 3)

Coordinates of the park = (1, 1)

The shortest distance = the distance between the two points

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the shortest distance.

Where,

[tex] (2, 3) = (x_1, y_1) [/tex]

[tex] (1, 1) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(1 - 2)^2 + (1 - 3)^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-2)^2} [/tex]

[tex] d = \sqrt{1 + 4} [/tex]

[tex] d = \sqrt{5} [/tex]

[tex] d = 2.2 [/tex] (nearest tenth)

Shortest distance between Joe's home and the park = 2.2 miles

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given that,

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

Total no. of outcomes = 5+2+2

= 9

No. of white marbles = 2

Required probability,

[tex]P=\dfrac{2}{9}[/tex]

So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].

Answer:

The sale price is 80% of x or x*0.8.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

answer :

A, C, and D

hope this helps:)

Answer:

y = -1/2x - 2

Step-by-step explanation:

2x + 4y = -8

4y = -2x - 8

y = -1/2x - 2

Answer:

2187

Step-by-step explanation:

[tex]3^{6}[/tex] × 3

729 × 3

2187

Answer:

l maooooooo but ill help

its 2187

Step-by-step explanation:

use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first

3x3x3x3x3x3=9x9x9=81x9=729

729x3=2187

Answer:

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 4) = -16[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Required

Equations with [tex]x = 4[/tex] as a solution

[tex]-2(3x - 4) = -16[/tex]

Divide both sides by -2

[tex]3x - 4 = 8[/tex]

Add 4 to both sides

[tex]3x - 4 +4= 8+4[/tex]

[tex]3x =12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

Multiply both sides by 2

[tex]10x + 2 = 12[/tex]

Subtract 2 from both sides

[tex]10x + 2 -2= 12-2[/tex]

[tex]10x = 10[/tex]

Divide both sides by 1

[tex]x = 1[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

Open bracket

[tex]20 - 15x = 6 - 8x - 14[/tex]

Collect like terms

[tex]8x - 15x = 6 - 14 - 20[/tex]

[tex]-7x = -28[/tex]

Divide both sides by -7

[tex]x = 4[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Subtract 6 from both sides

[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]

[tex]\frac{1}{3}(9x - 12) =-16[/tex]

Multiply both sides by 3

[tex]9x - 12 = -48[/tex]

Add 12 to both sides

[tex]9x - 12 +12= -48+12[/tex]

[tex]9x = -36[/tex]

Divide both sides by 4

[tex]x =-4[/tex]

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution

Answer: 1st and 3rd

Step-by-step explanation:

Answer: Smashed Peach i.e.  [tex]\dfrac{27}{36}[/tex]

Step-by-step explanation:

Given

Linda needs [tex]\frac{6}{9}[/tex] cup of strawberries

and [tex]\frac{3}{4}[/tex] cup of mashed peach for a recipe

For two fractions to have the same denominator, take L.C.M. of the denominator

[tex]\Rightarrow \text{L.C.M.(4,9)}=36[/tex]

[tex]\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}[/tex]

Therefore, she needs more mashed peach for the recipe.

Answer:

Dependant

Step-by-step explanation:

Its dependant because when you take out one chocolate another may fall and take its place.

Answer:

100

Step-by-step explanation:

Answer:

the mean is 6

the median is 6

the mode there is none

the range is 6.

Answer:

There is no mode. (they all appear once)

The lowest number is 3 and the highest is 9, so the range is 6.

The mean is the average, add them all up (30) and divide by the number of data sets (5). The average is 6.

I have to go to dinner so maybe let someone else help with the median? The median is the middle, so you have to order them and find the middle. Hope it helped!

Answer:

B...................

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Step-by-step explanation:

that would be the right answer

Answer:

(-1, 2) will be point A'

Step-by-step explanation: