You buy 5 balloons and 3 banners for $14. Your friend buys 1 balloon and
1 banner for $4. How much does each item cost?

Answer: 3√2

√3 . √6 = √(3.6) = √(9.2) = √(3².2) = 3√2

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

[tex] \sqrt{6} [/tex]can be written as [tex] \sqrt{3} \times \sqrt{2} [/tex]

So, lets arrange it.

[tex] \sqrt{3} \times \sqrt{6} = \sqrt{3} \times \sqrt{3} \times \sqrt{2} = 3 \sqrt{2} [/tex]

Hence b = 3.

Answer:

Step-by-step explanation:

Dimensions of the picture:

Area of the picture:

Scale factor = 2.5

Enlarged picture's area:

Option B is correct

The area of the picture after it is enlarged is 250 inches².

Given that,

The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.

A photographer wants to use a scale factor of 2.5 to enlarge a picture.

Based on the above information, the calculation is as follows:

Here, the dimensions of the picture are 5 in and 8 in

Hence, the area of the picture is,

5 × 8 = 40 in²

Since, Scale factor = 2.5

So, the enlarged picture's area would be,

40 × 2.5 ×2.5

= 250 in²

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Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

1)

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Hope this helps! (:

Answer:

-16, -4

Step-by-step explanation:

x² +20x +100 -36 = 0

x² +20x +64 = 0

x² -Sx +P =0, where S= sum of roots, P=product of roots

so what 2 numbers have

S= -20 and P = 64 , ...that ul be -4, -16

or you can use factoring:

( x+16) ( x+4) = 0

x+16 = 0 , x= -16

x+4 =0, x = -4

or you can do quadratic equation, or graph ...

Answer: The Answer is:

Fraction form: x= -32/11

Decimal form: x= -2.90909....

Step-by-step explanation:

1. Add similar elements: 2x+20x=22x

22x+100=36

2. Subtract 100 from both sides:

22x+100-100=36-100

3. Simplify:

22x=-64

4. Divide both sides by 22:

22x÷22=-64÷22

5. Your Answer:

x= -32/11

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:

180

Step-by-step explanation:

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

Answer:

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –16°C is colder than –12°C.  

When the temperature is 7° below freezing, the temperature is –7°C.

A temperature of 10°C is colder than –12°C.

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –8°C is colder than –12°C.

When the temperature is 7° below freezing, the temperature is –7°C.

Answer:

[tex](s^{2})(t) , 10^{2}t, s^{2}t[/tex] are the correct answers

Step-by-step explanation:

The others don't work because they don't have the same power for each variable.

Answer:

It is s^2(t), 10 *s^2 * t, and (1/4) (s^2)(t)

Answer:

I think is D

I'm not that sure but hope it helps

Answer:

Image is attached.

Step-by-step explanation:

Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]

Cross Multiply the expression

[tex]\:20\times x=12\times 15[/tex]

Divide both sides by 20

[tex]\frac{20x }{20}=\frac{180}{20}[/tex]

[tex]x=9[/tex]

Therefore, the value of x = 9

Answer:

AB ≈ 3.14 ft

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )

    = 8π × [tex]\frac{1}{8}[/tex]

   = π

   ≈ 3.14 ft ( to 2 dec. places )

Answer:

A. -4

Step-by-step explanation:

−6 − (−2) = -6 + 2

              = -4

Hope this helped :)

Answer:

72 sec im srry if its wrong i cant see it good

Step-by-step explanation:

Step-by-step explanation:

=2b+9

=2×3+9

=6+9

=15

hope it helps.

Answer:

Josie is training for a race. The ratio of

the number of minutes she runs to the

number of miles she runs is 24 to 3.

She plans to run 10 miles. How many

minutes will it take her?

2 A chef planning for a large banquet

thinks that 2 out of every 5 dinner

guests will order his soup appetizer.

He expects 800 guests at the banquet.

Use equivalent ratios to estimate how

many cups of soup he should prepare.

3 Fred is making a fruit salad. The ratio

of cups of peaches to cups of cherries

is 2 to 3. How many cups of peaches

will Fred need to make 60 cups of

fruit salad?

4 A community garden center hosts a

plant giveaway every spring to help

community members start their

gardens. Last year, the giveaway

supported 50 families by giving away

150 plants. Based on this ratio, how

many plants will the center give away

this year in order to support 65 families?

5 The first week of January, there are

49 dogs and 28 cats in an animal shelter.

Throughout the month, the ratio of dogs

to cats remains the same. The last week

of January, there are 20 cats in the

shelter. How many dogs are there?

6 A wedding planner uses 72 ivy stems

for 18 centerpieces. When she

Step-by-step explanation:

i think

Answer:

We conclude that:

Step-by-step explanation:

Some background Concepts:

From the graph, it is clear that at x = -10, the graph intersects the x-axis.

So, the x-intercept of the graph is (-10, 0).

It means g(-10) = 0

From the graph, it is clear that at y = 5, the graph intersects the y-axis.

So, the y-intercept of the graph is (0, 5).

It means g(0) = 5

Determining g(-3):

From the graph, it is clear that at x = -3, the value of the function output = 3.5.

In other words,

at x = -3, g(-3) = 3.5

Therefore, we conclude that:

Answer:

y= 42

Step-by-step explanation:

angles in a triangle add up to 180

48+90=138

180-138= 42

(if you need the  value of x)

180-48=132

132/2=66

x=66

(value of z)

90+66=156

180-156=24

z=24

Answer:

b) 18

Step-by-step explanation:

Plug in 25 for x in the equation.

ie: y=.9(25)-4.5

Then solve using a calculator.

The answer should be 18

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1=  2πr1h1

CAS1=  2*3.142*3*1

CAS1=  18.852

CAS2=  2πr2h2

CAS2=  2*3.142*4*2

CAS1=  50.272

The ratio of their curved surface areas

=18.852:50.272

Answer:

-5 is the correct answer

Answer:

-5

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

7a-9 = 7(10)-9 = 70-9 = 61

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

Answer:

-40

Step-by-step explanation:

An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.

Answer 40 - 20

Step-by-step explanation:

20 is he number

Answer:

I think A..............

The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.

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Answer:

1:4

Step-by-step explanation:

Ratios and Fractions

It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:

[tex]1 - \frac{1}{5}=\frac{4}{5}[/tex]

We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.

This can be done by dividing 1/5 by 4/5:

[tex]\displaystyle \frac{\frac{1}{5}}{\frac{4}{5}}[/tex]

Operating:

[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]

Expressing it as a ratio: 1:4

Answer:

Humans living in highly populated areas are more inclined to violence.

Answer:

A. Violence

Step-by-step explanation:

got it right, hope this helps!