Alicia will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Alicia can use to construct this rectangle?

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

The number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

Let the number of weeks after which they both have volunteered the same number of hours be 'w' weeks.

Now, as Adrian volunteer 4 hours per week, then in w weeks, he'd have volunteered [tex]4 \times w[/tex] hours.

Also, as Cyrus already volunteered 8 hours, and then for w weeks, he volunteered 2 hours per week, so the number of hours he volunteered is: [tex]2 \times w + 8[/tex]

We had assumed that after w weeks, their volunteer time is same, so we can equate these amount of volunteering hours, as shown below:

[tex]4\times w= 2\times w + 8\\4w = 2w + 8[/tex]

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Subtracting 2w from both the sides, we get:

[tex]4w -2w = 8\\(4-2)w = 8\\2w = 8[/tex]

Dividing both the sides by 2, we get w on one side, rest of the constants on the other side, as:

[tex]\dfrac{2w}{2} = \dfrac{8}{2}\\\\w = 4[/tex]

Thus,  the number of weeks after which they both have volunteered the same number of hours is w = 4 weeks.

Now, evaluating any of those expressions to get the number of hours each of them volunteered till 4th week:

[tex]4w |_{w=4} = 4 \times 4 = 16 \: \rm hours\\2w +8|_{w=4} = 2(4) + 8 = 8+8 = 16 \: \rm hours[/tex]

(see, these are equal amount of time).

Thus, the number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.

Learn more about forming equations here:

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Step-by-step explanation:

To find the composite function, it says

[tex](f \: o \: g)(x)[/tex]

means we put the function g(x) into f(x) so that means it looks like

[tex]( \sqrt{x}) {}^{2} - 4[/tex]

Which equal

[tex]x - 4[/tex]

So that expression above is the answer.

To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).

The range of a g(x) which is a radical function is all real numbers.

The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.

This means for our function to work we can use any numbers as long as it greater than -4.

So we would represent that as x is all real numbers as long as x is greater than or equal to -4

In interval notation this would be

[-4,+ infintiy)

Answer:

1st and 2nd options

Step-by-step explanation:

Using the method of completing the square to obtain standard form

(13)

Rearrange the given equation so x and y terms are together, that is

x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )

x² + 24x + y² + 30y = - 353

To complete the square

add ( half the coefficients of the x/ y term)² to both sides

x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225

(x + 12)² + (y + 15)² = 16

(x + 12)² + (y + 15)² = 4² ← in standard form

with centre = (- 12, - 15 ) and radius = 4

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

(14)

As in number 13

x² - 22x + y² + 16y = - 181

Complete the square

x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64

(x - 11)² + (y + 8)² = 4

(x - 11)² + (y + 8)² = 2² ← in standard form

with centre = (11, - 8 ) and radius = 2

Answer: A is 5 B is 6 C is 3

D is 7

Step-by-step explanation: I hope u get ur answer- and if I’m wrong plz tell me I took this lesson 2 days ago-

Answer:

Option:D

According to question,

Mass = m/3

Volume = 5*v

Density = mass/volume

=1/15*(m/v)

So its option D

Answer:

1/2

Step-by-step explanation:

brown sack = 3/4

1/4 green sack = 1/4

3/4 - 1/4

3 - 1 /4

2/4

1/2

The length of an arc AB from the given circle with radius 6in is 15.7in

The formula for calculating the length of an arc is expressed as:

L = r theta

where

r is the radius = 6in

theta is the central angle = 150 degrees = 5/6π rad

Substitute

L = 6(5/6π)

L = 5π

L = 5(3.14)

L = 15.7in

Hence the length of an arc AB from the given circle with radius 6in is 15.7in

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Answer:

68

Step-by-step explanation:

1) Find the interior angle using relations of angles in straight line I.e ( sum of angles in a straight line is 180 ) and we know the sum of all the interior angle of quadrilateral is 360 degree .

2) Solve further for x.

Answer:

The person solving the problem first subtracted 6 from 15. Since the cube root is next to the six, the problem should be read as [tex]15-6(\sqrt[3]{\frac{-1000}{27} } )[/tex] rather than [tex](15-6)(\sqrt[3]{\frac{-1000}{27} } )[/tex].

please lmk if anything is wrong with my answer, hope this helps :)

Answer:

105

Step-by-step explanation:

To find area, you have to multiple the width by the height.

15*7=105.

Answer:

Area = 2307.9 cu.cm

Step-by-step explanation:

Height of the cylinder (h) = 15cm

radius (r) = 7 cm

we know ,

[tex]area \: of \: cyliner = \pi {r}^{2} \times h \\ \: \: \: \: = 3.14 \times {(7cm)}^{2} \times 15cm \\ \: \: = (3.14 \times 49 \times 15) {cm}^{3} \\ = 2307.9 {cm}^{3} [/tex]

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

Answer:

x=1/3, x=-2/3

Step-by-step explanation:

9x^2 +6x -3x -2=0

6x and -3x add up to 3x. You need four terms to factor.

Then you factor=

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

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

Then you can make two equations

3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.

3x-1=0

3x=1

x=1/3

3x+2=0

3x=-2

x=-2/3

So your answers are x=1/3, x=-2/3

hope this helps!

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

Answer:

Area = 146.75 m^2

Step-by-step explanation:

Triangle:

a = 1/2bh

a = 1/2 x 10 x 9.35

a = 46.75

Square:

a = lw

a = 10 x 10

a = 100

46.75+100 = 146.75

Answer:

the answer is B 1/x^2

Step-by-step explanation:

Answer:

B) 1/x²

Step-by-step explanation:

Answer:

12m i think

Step-by-step explanation:

Answer: If it is finding area the answer the area is 9216m if it is perimeter and I believe it is then the perimeter is 40m

Answer:

Step-by-step explanation:

4/1000=0.0004

200/10= 20

8/100=0.08

30/100=3

7/1000=0.0007

6/10=0.6

Answer:

c

Step-by-step explanation:

A

B

She can buy 5-6

C

Louis cannot purchase the bagels because she does not have enough money

Answer:

question? I don't understand

Answer:

7s + 10a

Step-by-step explanation:

I don't see a question so I just answered with a formula...

Answer:

172

Step-by-step explanation:

8/20 = x/430

8(430) = 3,440 = 20x/20

3,440/20  = 172

Ik it's complicated but you'll get it & your so very welcome.

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

An amount of $292.5 will be more if the money is taken after 21st birthday that that in 18th birthday.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Given that,

Principal amount, P = $1500

Rate of interest, r = 6.5% = 0.065

The final amount in a simple interest is,

A = P (1 + rt), where t is the number of years.

After 18 years,

Amount = 1500 [1 + (0.065 × 18)]

             = 1500 × 2.17

             = $3255

After 21 years,

Amount = 1500 [1 + (0.065 × 21)]

             = 1500 × 2.365

             = $3547.5

Difference = $3547.5 - $3255 = $292.5

Hence the difference of the amount is $292.5.

Learn more about Simple Interest here :

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Answer:

y=-16

Step-by-step explanation:

2(y-4)-5(y+8)=0  (distribute the 2 and the negative 5)

2y-8-5y-40=0   (combine like terms)

-3y-48=0    (add 48 to both sides)

-3y=48     (divide both sides by -3)

y=-16

Hope this helps :)

Answer:

12) complementary,   x=15

13) complementary, x = 35

x+ (x-20) = 90

x+x+20=90

2x=70

x=35

14) supplementary, x=31

2x+3x+25=180

5x=155

x=31

15) <1 = 130 degrees

 <2 = 50 degrees

<3 = 130 degrees

16) x=53

x+2x+21=180

3x=159

x=53

Answer:

Hope this helps

Answer:

Middle and far right one

Step-by-step explanation:

X values cannot repeat