What is the surface area of the rectangular prism

Answer:

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey 70 candles

Kacie  40 candles

Step-by-step explanation:

Let

x------> the number of candles sold

y----> total amount raised          

we know that

Hailey's equation

[tex]y=4x+160[/tex] -----> equation A

Please note that Hailey has already raised $160, so he has sold 40 candles.

Kacie's equation

[tex]y=7x+70[/tex] -----> equation B

Please note that Kacie has already raised $70, so he has sold 10 candles.

equate equation A and equation B solve for x

[tex]4x+160=7x+70[/tex]

[tex]7x-4x=160-70[/tex]

[tex]3x=90[/tex]

[tex]x=30\ candles [/tex]

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey

  40+30=70 candles

Kacie

  10+30=40 candles

Answer: C. 4c+160=7c+70

Step-by-step explanation:

If I were you I would also put the answer choices

Answer: x - 9

Step-by-step explanation: Collect like terms.

(3x + 8x - 10x) + (16 + 3 - 28)

Answer:

[tex]\boxed{\bold{x-9}}[/tex]

Step-by-step explanation:

[ Step One ] Group Like Terms

[tex]\bold{3x+8x-10x+16+3-28}[/tex]

[ Step Two ] Combine Similar Elements: [tex]\bold{3x+8x-10x=x}[/tex]

[tex]\bold{x+16+3-28}[/tex]

[ Step Three ] Add / Subtract: [tex]\bold{16+3-28=-9}[/tex]

[tex]\bold{x-9}[/tex]

➤  [tex]\boxed{\bold{Mordancy}}[/tex]

Answer:

Perpendicular to the base

Step-by-step explanation:

The pyramid was sliced in half creating two halves. Since the cross section forms a perpendicular angle, the cut was perpendicular to the base of the solid.

The emergency fund total amount is [tex]$\boxed{\$11,413.78}$[/tex]. The amount in CD is [tex]$\boxed{\$8,557.334}$[/tex]. The amount in savings account: [tex]$\boxed{\$2,853.445}$[/tex]. Total interest earned: [tex]$\boxed{\$94.896695}$[/tex].

To solve this problem, we will follow these steps:

1. Calculate the total deductions from the gross income.

2. Determine the realized income after deductions.

3. Calculate the fixed expenses based on the realized income.

4. Compute the amount saved in the emergency fund.

5. Divide the emergency fund into the portions for the CD and the savings account.

6. Calculate the interest earned on both the CD and the savings account over 60 days.

7. Sum the interest earned from both accounts to find the total interest.

Let's begin:

1. Calculate Total Deductions:

Gross income = $4,520.00/month

FICA = 7.65% of gross income

Federal tax withholding = 11.75% of gross income

State tax withholding = 8.5% of gross income

Total deductions = FICA + Federal tax withholding + State tax withholding

Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

2. Determine Realized Income:

Realized income = Gross income - Total deductions

3. Calculate Fixed Expenses:

Fixed expenses = 30% of realized income

4. Compute the Amount Saved in the Emergency Fund:

Emergency fund = 5 months' worth of realized income after fixed expenses

Emergency fund = 5 × (Realized income - Fixed expenses)

5. Divide the Emergency Fund:

75% in a CD and 25% in a savings account

CD amount = 0.75 × Emergency fund

Savings account amount = 0.25 × Emergency fund

6. Calculate Interest Earned:

Interest on CD = CD amount × (5.25% APR / 12) × (60 / 30)

Interest on savings = Savings account amount × (3.8% APR / 12) × (60 / 30)

7. Calculate Total Interest Earned:

Total interest = Interest on CD + Interest on savings

Now, let's perform the calculations:

1. Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

Total deductions = $344.28 + $530.44 + $384.20

Total deductions = $1,258.92

2. Realized income = $4,520 - $1,258.92

Realized income = $3,261.08

3. Fixed expenses = 0.30 × $3,261.08

Fixed expenses = $978.324

4. Emergency fund = 5 × ($3,261.08 - $978.324)

Emergency fund = 5 × $2,282.756

Emergency fund = $11,413.78

5. CD amount = 0.75 × $11,413.78

CD amount = $8,557.334

Savings account amount = 0.25 × $11,413.78

Savings account amount = $2,853.445

6. Interest on CD = $8,557.334 × (0.0525 / 12) × 2

Interest on CD = $8,557.334 × 0.004375 × 2

Interest on CD = $76.640625

Interest on savings = $2,853.445 × (0.038 / 12) × 2

Interest on savings = $2,853.445 × 0.0031667 × 2

Interest on savings = $18.25607

7. Total interest = $76.640625 + $18.25607

Total interest = $94.896695

Answer:

[tex]m<JKL=38\°[/tex]

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

[tex]m<JKL=\frac{1}{2}(arc\ ML-arc\ MN)[/tex]

substitute the values

[tex]m<JKL=\frac{1}{2}(138\°-62\°)[/tex]

[tex]m<JKL=\frac{1}{2}(76\°)[/tex]

[tex]m<JKL=38\°[/tex]

Answer: jkl=38°

Step-by-step explanation:

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Answer:

Step-by-step explanation:

A=$4.49/5 =$0.90 per LB

B=$0.64 per LB

C=$1.35/2.3 =$0.59 per LB

D=$0.98/1.75 =$0.56 per LB

E=$0.25/3 =$0.08 per oz

The best deal is E because he is only paying 8cents.

Best deals to worst deals= E,D,C,B,A.

put me as branilist answer.

Answer:

Standard form:

78,020,008

Word form:

seventy-eight million, twenty thousand, eight

Answer:  x³

Step-by-step explanation:

[tex]\sqrt[n]{x^{3n}}=x^{\frac{3n}{n}}=x^3[/tex]

Note: There is no radical expression, only an exponential expression.

Answer:

The radius = 24 units.

Step-by-step explanation:

I am assuming that the 2 radii are equal  then:

1/3 pi r^2 * 96 = 4/3 pi r^3

then:

4/3 pi r^3 / 32 pi r^2 = 1

4/3r^3 / 32 r^2 = 1

4/3 r * 1/ 32 = 1

r = 32 * 3/4

= 24.

C. two lines are perpendicular

hope this helps :)

the correct answer is b, think of it as a mirror, if x and y are positive and you flip them, it will soon be -x and -y :)

Answer:

The answer wold be B the reason for this is because at first the student started in the positive area of the x and y axis but when reflected over the x axis it cause it to go into the negative part know as quadrant 4 in a graph

Step-by-step explanation:

Answer:

18π ft^2

Step-by-step explanation:

Area of Sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where

[tex]\theta[/tex] is the angle of the sector (in our case it is 45°), and

r is the radius (which is 12 ft)

So we plug these into the formula and get our answer to be:

[tex]A=\frac{\theta}{360}*\pi r^2\\A=\frac{45}{360}*\pi (12)^2\\A=\frac{1}{8}\pi*144\\A=18\pi[/tex]

This is our answer: 18π

Answer:

   = 18 ft²

Step-by-step explanation:

The area of a sector is given by the formula;

Area = θ/360 × πr² ; where θ is the angle subtended by the arc to the center, r is the radius.

Therefore;

Area = 45/360 × π ×12²

        = 18 ft²

Answer:

15 years

Step-by-step explanation:

Let e represent Edith's age.  Then e also represents her brother's age.

Then:

e = 5e - 60.

Consolidating the e terms, we get 60 = 4e.  Thus, e = 15.

Edith is 15 years old.  So is her brother.

Edith is 15 years old and so is her twin brother. Hope this helps!

Answer:

The answer is 300,000.

Step-by-step explanation:

Hundred thousand would be one hundred (100) and a thousand, which is three zeroes. So we put three zeroes after 100 and we get 100,000. So in this case we're rounding to 300,000.

The answer is:   300,000

Hundred thousand is the natural number which follows 99,999 and 100,001.

Hence, the number is given by: 100,000.

Hence, when we round any number to the hundred thousand then there  must be 5 zeros in the number.

i.e. the number 340,413  rounding to the nearest hundred thousand is given by:  300000

( Since the first digit i.e. 3 is at the hundred thousand place and all the number that precedes this place is converted to 0 )

Answer:

The probability that a student attended the game, given that the student is from North Beach will be: 0.55

Step-by-step explanation:

Given data,

Number of North Beach students who attended the game = n1 = 110

Number of North Beach students who did not attend the game = n2 = 90

Total number of students = n1 + n2

=> 110 + 90

=> 200

The probability that a student attended the game, given that the student is from North Beach will be:

probability of students attended the game of North Beach/ probability of total students attended

=> n1/n

= 110 / 200

= 0.55

Therefore, the probability that a student attended the game, given that the student is from North Beach will be: 0.55

Answer:

0.55

Step-by-step explanation:

inverse proportionality between 2 variables follows this .

y = k/x

where k is proportional constant

as value of one variable increases/decreases , value of other variable decreases/increases

so

if x increases, y will decrease

if x decreases , y will increase

C, the higher a negative is, the lower its value gets

It is C because -2.05 is really -2.050 which is less then -2.047

Answer:

Step-by-step explanation:

[tex]g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3[/tex]

Answer:

52: 8-Z

54: 18+X

60: 12.3

64: 2.5

52: 8 subtracted from z, the equation will only be 8-z because we do not know what z is.

54: 18 more than a number, we do not know what the number is so we will name it X, more than is adding, so the equation will look like this, 18+X

60: Since y is 6.7, all you have to do is subtract 19-6.7.

64: Since n is 7.5 just divide 7.5 from 3 and you will get 2.5.

Answer:

just add all the side which equals 27 feet

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Because the perimiter is just the outside, we are only adding to find the answer.

hope this helps

Answer:

To see all the points that lie on the equation

h(x) = 3*x^2

We use a graphing calculator, to plot the function h(x)

Please see attached image for more information.

We can see in red all the points  that lie on the function. There are an infinite number of points in it.

For a ratio make a fraction using the quantities of the colors.

You want the ratio of red to purple.

There are 16 red and 2 purple, so the ratio would be 16/2, which can be reduced to 8/1

To find the surface area of the sphere, we can use the formula Surface Area = 4πr². By substituting the given volume value into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Substituting this radius value into the surface area formula, we find that the surface area is 36π square inches.

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr2

Given that the volume of the sphere is 324 in3, we can use the volume formula to find the radius:

Volume = (4/3)πr3

By substituting the volume value (324) into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Now, we can substitute this radius value into the surface area formula to find the surface area:

Surface Area = 4π(3)2

Calculating this expression, we get a surface area of 36π square inches.

Answer:

b. T <7,-2> (RSTU); (2,-1)

Step-by-step explanation:

The given triangle has vertices R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1).

Let the translation rule be T(a,b).

Then the mapping for the translation will be;

[tex](x,y)\to (x+a,y+b)[/tex]

Then the point R(-5,-5) has the image;

[tex]R(-5,-5)\to R'(-5+a,-5+b)=R'(2,-7)[/tex]

This implies that;

[tex]-5+a=2[/tex]

[tex]\Rightarrowa=2+5=7[/tex]

and

[tex]-5+b=-7[/tex]

[tex]\Rightarrow b=-7+5[/tex]

[tex]\Rightarrow b=-2[/tex]

Therefore the translation rule is T(7,-2)

Hence;

[tex]U(-5,1)\to U'(-5+7,1-2)=U'(2,-1)[/tex]

the correct choice is B.

A is the answer to this question

Answer:

Your answer is A.)

Answer:

8.9

Step-by-step explanation:

apply pythagorean relationship

a²+b²=c²

where a=? b=4 and c=6

hence c²-b²=a²

6²-4²=a²

36-16=a²

√20=a

a=√20

but x= 2a

x=2 × √20

x=8.944 ⇒8.9 to the nearest tenth

Answer:   [tex]\large{\bold{x^\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2} \\\\\text{The exponent is the numerator and the root is the denominator:}\\\\\huge{\boxed{x^{\frac{2}{3}}}}[/tex]

Answer:

First choice: m = -4

Step-by-step explanation:

The second equation is already solved for n, so lets's use the substitution method and substitute m - 2 for n in the first equation.

m - 2n = 8

m - 2(m - 2) = 8

m - 2m + 4 = 8

-m + 4 = 8

-m = 4

m = -4

The second equation tells you what 'n' is.  It's "m-2" .

So you can simply write "m-2" in place of 'n' in the first equation.

Then the first equation says [ m - 2(m-2) = 8 ], and you should have no trouble solving that.

so we're trying to figure what portion of silas' slime is detergent. we know that his slime is a combo of 5 oz glue and 2 oz detergent for a total of 7 oz of slime.

what we want to find is how much of those 7 oz of slime is detergent.

quite simply 2 oz of the 7 is detergent.

to make that into a percent just divide 2 by 7.

2/7 = 0.2857

then move the decimal over two spots to get

28.57 or

D. 28.6%

just remember that percents are just how much makes up the whole.