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5
3-4x=3 = -9x32
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Answer:I drew a quadratic function with a vertex and axis of symmetry, hope this helps

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

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

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

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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

Answer:

slope =  -11 or m = -11

Step-by-step explanation:

11x + y = -30

y = -11x - 30

I hope this helps!

could you repost/answer with a picture?

y=-5x-2

Hope it helps.

Do comment if you have any query.

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

ray is x years old

Ron is x+y years old

in 5 years ron will be 5 years older than now, so x+y+5 years old

 orAnswer:

x - x + y + 5 - 5 = y  or   x + y - x = y

Step-by-step explanation:

The difference now,

x + y - x = y

The difference in 5 years,

(x + y + 5) - (x + 5) = x - x + y + 5 - 5

x - x + y + 5 - 5 = y

The difference in their ages never changes

Answer: C.

Step-by-step explanation:Parallel lines never touch so they cant be intersecting.

Answer:

B. 6 cookies

Step-by-step explanation:

Given :

Number of chocolate chip

Answer:

-120

Step-by-step explanation:

Following the rules of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction)

First when solve the numbers in the parentheses:

-6-14-11-9= -40

Then we can do the multiplication:

3*-40 = -120

Hope this helps! :)

Answer:

-18  -33

-42  -27

Step-by-step explanation:

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.

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]

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



Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

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.

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.

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#SPJ1

Answer: $8733.01

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

Answer:

Step-by-step explanation:

pls brainlest mee

Answer:

slope = 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives us y=1/2x

Answer:

-331/140

Step-by-step explanation:

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

Given Data

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

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Answer:

Step-by-step explanation:

To get the equation, you must create the factors containing the roots.

So for example the first set of roots can be produced from

(x -2)(x^2 + 9)

which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives

x^3 -2x^2 + 9x - 18

The second one is a bit more difficult to judge.

-5  and -3+  square root(2)

I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)

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

Answer:

15% interest

Step-by-step explanation:

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

Answer:

A and B.

Step-by-step explanation:

4x^2 - 4x - 3 = 0    

4x^2 + 2x - 6x - 3 = 0

2x(2x + 1) - 3(2x + 1) = 0

(2x - 3)(2x + 1) = 0

x = 3/2, -1/2.

Answer:

$6

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

Answer:

It should be 27 from the answer I got

Step-by-step explanation:

Hope this helps <3

Answer:

0.375

Step-by-step explanation:

0.6875-0.3125 = 0.375