Mathematics College

find the possible value of x

Answers

Answer 1

[tex]\underline{ \mathbb{SOLUTION:}}[/tex]

Given:

Figure

To find:

Possible values of x

Solving:

Using triangle inequality theorem.

[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]

Range = difference < x < Sum

[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]

[tex]\large \tt \implies3 < x < 15[/tex]

_____________________________________

Related Questions

Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.

Answers

Answer:

Lauren needs to get 95 on her next math test so that the mean and median remain the same

Step-by-step explanation:

92+93+ 94+ 95+96+97+98 = 665

665/2 =95

mean=95

median=95

x= score could Lauren get on her next math

(665+ x)/8 =95

multiply both sides by 8 to eliminate fraction

665 +x = 760

x=95

So now the median is the same

(95+95)/2=95

shorcut:

with 7 scores 95 is the median(in the middle)

with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95

A bank pays $15 in interest for every $100 deposited.
The bank pays how much interest?

Answers

Answer:

15% interest

Step-by-step explanation:

because it's 15 out of 100 so that would be 15%

True or false, in a ratio the units are not written

Answers

Answer:

True

Step-by-step explanation:

A ratio is normally written using whole numbers only, with no units, in its simplest form. The numbers in a ratio must be written using the same units.

e.g. ratio of 1:2

False, ratio's do no have units.

Carlos took 1/4 hours to clean the kitchen. Then he took 5 3/8 hours to clean the den. How much time did Carlos take to clean the two rooms?

Answers

Answer:

5 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} = \frac{2}{8}[/tex]

[tex]\frac{2}{8} + 5\frac{3}{8}[/tex]

Your solution is:

5 [tex]\frac{5}{8}[/tex]

5 and 5/8 1/4=2/8 so, 2/8 + 3/8 = 5/8

The expression c + 0.07c can be used to find the total cost of an item with 7% sales tax, where c is the cost of the item. Use the expression to find the total cost of an item that is $25.

Answers

The total cost of the item at the value of $25 and a tax of 7% is $26.75

Total Cost

Given Data

Tax = 7%Cost of item c = $25

We have the given expression to find the total cost which is

Total = c + 0.07c

Substituting our given data into the expression we have

Total = 25 + 0.07*25

Total = 25 + 1.75

Total = $26.75

Learn more about total cost here:

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Tom has 267 marbles, He shares the marbles out between himself and his two friends How many marbles does
each get? How many left over ?

Answers

Answer:

Each get 89 marbles and the leftovers are 0

Step-by-step explanation:

We have to ditribute the 267 marbles for 3 people so divide 267 by 3:

[tex]\frac{267}{3}[/tex] = 89

So each one gets 89

The leftovers are 0 because 267 is divisible by 3, means that if we divide 267 by 3 we will get a natural number ( no decimal part/ remainder=0)

remainder=0 → leftovers=0

For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

Answers

The ratio of the area of the first figure to the area of the second figure is 4:1

Ratio of the areas of similar figures

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Answers

Answer:

slope = 1/2

Step-by-step explanation:

Answer:

0.008791747

Step-by-step explanation:

0.000879

x 1.028

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

0167

01580

000000

08790000

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

8791747

0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.

Final answer: 0.008791747

I hope this helps!

The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.

Answers

Answer:

y=-5x-2

Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2

Hope it helps.

Do comment if you have any query.

Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?

Answers

Answer:

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Find the area of a green shaded region in the figur

Answers

Answer:

The answer is 156cm^2

Step-by-step explanation:

Solution:

The shape given is a trapezium.

The area of the green region = Area of the outer trapezium - Area of the inner trapezium.

[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]

[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]

[tex]For,\:outer\:trapezium,[/tex]

[tex]a=10cm,\:b=14cm,h=16cm[/tex]

[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]

[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]

[tex]For\:inner\:trapezium,[/tex]

[tex]a=3cm,b=6cm,h=8cm[/tex]

[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]

[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]

[tex]193cm^{2}-36cm^{2}[/tex]

[tex]=156cm^{2}[/tex]

The answer is 156cm^2

When do I use the quadratic formula?

Answers

Answer:

Step-by-step explanation:

Quadratic equations are commonly used in situations where two things are multiplied together and they both depend on the same variable. For example, when working with area, if both dimensions are written in terms of the same variable, you use a quadratic equation.

At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. What will it be worth when Sam is 33?

Answers

The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,

[tex]P=4000\\r=9.8\%[/tex]

Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,

[tex]t=33-25\\t=12\rm\; years[/tex]

Put the values in the formula,

[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]

Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.

Learn more about the compound interest here;

https://brainly.com/question/24274034

#SPJ1

Answer: $8733.01

Step-by-step explanation: I got it right on my quiz

A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?

Answers

Answer:

Step-by-step explanation:

N 32 players

Q1. 12 onces bottles

Q2. 1.152 onces water

N bottle?

1.152/12= 96 (number of bottles)

96/32=3 (number por player)

if x-y= -10 and x-y=2 what is the value of x

Answers

No solution , because x-y = -10 therefore x-y can’t be -2

Find the slope of the line 11x + y = -30.

Answers

Answer:

slope = -11 or m = -11

Step-by-step explanation:

11x + y = -30

y = -11x - 30

I hope this helps!

Allison is making fruit drinks for her friends.
Each fruit drink is made with 3/5 cup of
strawberries and 1/5 cup of blueberries. If
Allison is making fruit drinks for 6 friends,
how many cups of fruit will she need??

Answers

The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

Calculation of total quantity of fruits

The quantity of strawberries needed for each fruit drink= 3/5 cup

The quantity of blueberries needed for each fruit drink = 1/5 cup

Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5

= 4/5

If 4/5 = 1 fruit drink

X = 6 fruit drinks

Make X the subject of formula,

X = 4/5 × 6

X = 24/5

X= 4 ⅘

Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

Learn more about calculation of total quantity here:

https://brainly.com/question/13864606

HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER

Answers

Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

You need a 40\% alcohol solution. On hand, you have a 150 mL of a 20% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?

Answers

Answer:

You need to add 200 mL of the 55% to obtain the desired solution

Step-by-step explanation:

x=mixture you need to add

20% * 150 + 55% x = 40%(x + 150)

0.20 * 150 + 0.55x = 0.40(x + 150)

30+0.55x=60+0.40x

0.15x = 30

x=200 mL

Odds in favor of drawing a face card

Answers

Answer:

y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah

12 face cards

->12/52

=3/13

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find the possible value of x​

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find the possible value of x