Jynessa wants to order these fractions: StartFraction 4 over 9 EndFraction, two-thirds, one-sixth, Negative 2 and one-half. What should she use as her common denominator?

TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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Answer:

$52.50 (rounded)

Step-by-step explanation:

I = Prt

I = 154.4(.085)(4)

I = 52.496

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

Answer:

5.96 minutes :)

Answer:

The untrue statement is "B. This figure is a parallelogram"

Step-by-step explanation:

You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.

The box which represents this data is Minimum: 65

Q1: 69

Median: 82

Q3: 110

Maximum: 95

We are given that;

71,69, 65, 84, 82, 95

Now,

A box plot is a type of chart that shows the five-number summary of a set of data: the minimum, first quartile, median, third quartile, and maximum. To make a box plot, you need to follow these steps 1:

Arrange the data from smallest to largest.

Find the minimum and maximum of the data. These will be the endpoints of the whiskers.

Find the median of the data. This will be the vertical line inside the box.

Find the first quartile (Q1) and the third quartile (Q3) of the data. These will be the lower and upper edges of the box.

Find the interquartile range (IQR) by subtracting Q1 from Q3. This is the length of the box.

Find the lower and upper limits by subtracting 1.5 times IQR from Q1 and adding 1.5 times IQR to Q3. These are the boundaries for detecting outliers.

Draw a box from Q1 to Q3 with a vertical line at the median. Draw whiskers from the box to the minimum and maximum values that are within the lower and upper limits. Mark any outliers with dots or asterisks.

Therefore, by algebra the answer will be

Minimum: 65

Q1: 69

Median: 82

Q3: 110

Maximum: 95

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Answer:

27

Step-by-step explanation:

The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27

Answer:

If they water the plants in the garden together then it will take about 15 minutes because when they do it seperatly it takes about 30 minutes. So if they do it together, they are cutting work in half. And half of 30 is 15.

Step-by-step explanation:

32 rounded is 30.

25 rounded is 30.

30/ 2 = 15

Answer:

188.5ft²

Step-by-step explanation:

Surface area of cylinder = 2πrh+2πr²

=2π3*7+2π3²

=42π+18π

=60π=188.495559215≈188.5ft²

Answer:

no

Step-by-step explanation:

1 4/5 = 1 8/5 if you make a common denominator

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583

Answer:

it is at least $300000 good luck

Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).

Answer:

mean

Step-by-step explanation:

Answer:hold up

Step-by-step explanation:

Answer:

I am pretty sure 237

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2.34 divided by 6 so then that gives you o.39

Answer:

<BGC and <FGE are vertical angles

<BGC=90°-42°=48°

So m<FGE=48°

Hope it helps...

Answer:59280

Step-by-step explanation: Perumtaion of (40,3)

The required possible number of sequences is given as 59280.

Given that,
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of balls = 40
Number of balls selected = 3
Combination of sequence = 40P3
Combination of sequence = 59280

Thus, the required possible number of sequences is given as 59280.

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9514 1404 393

Answer:

Step-by-step explanation:

It is useful to remember the form for the square of a binomial.

  (a +b)² = a² +2ab +b²

  (a -b)² = a² -2ab +b²

__

1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3

  = 28 +10√3

__

2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75

  = 81 -30√2

__

3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18

  = 54 +36√2

We'll need to convert all the fractions to common denominators.

1/3 = 8/24

3/8= 9/24

4/8 = 12/24

8/24 stays the same.

4/8 = 8/16

9/16 stays the same.

4/16 stays the same.

3/8 = 6/16

Now we compare.

8/24 > 9/24 X

12/24 < 8/24 X

8/16 < 9/16 √

4/16 > 6/16

So the answer is C) 4/8<9/16

---

hope it helps

hi I am sorry I don't know.

Answer:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

No solution

Step-by-step explanation:

Answer:

Im not sure how to solve by addition but if you solve its it is no solution

Step-by-step explanation:

Hope this helps

Answer:

5/12 of the pizza was leftgot Lila

Step-by-step explanation:

Well Lila ate 1/4 already and his freind ate 1/3

1/4+1/3

3/12+4/12

7/12

The whole pizza is gonna be 1 since a whole pizza

1-7/12

that would be 5/12

Answer:

5/12

Step-by-step explanation:

1/4 + 1/3 + x = 1

7/12 + x = 1

7/12 - 7/12 + x = 1 - 7/12

x = 5/12

Answer:

first box=[tex]\sqrt{75}[/tex] second box= [tex]\sqrt{73}[/tex]

Step-by-step explanation:

The square root of 74 is roughly between the suareoots of 75 and 73.

Have a fantastic-o day friends! Have a great life and don't waste time doing nothing.

Answer:

yuh

Step-by-step explanation:

totally not using you to get the points-

square root 75 and square root 73

Answer: C (A unimodal histogram, and the dotted line lands at 210)

Step-by-step explanation:

Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”

Answer:

Three irrational numbers between 6 and 7 are

i )6.2020020002...

ii) 6.5010010001....

iii)6.9010010001.... etc.

•••♪

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

3 irrational numbers with a value between 6 & 7 can be :-