Solve for x in7x+3=3x+11

Answer:

A. g(x) = x²/3

Step-by-step explanation:

Answer:

{x,y} = {2,7}

Step-by-step explanation:

sorry if i got it wrong

Hey there!

m + 8 - 5m + 11

= 1m + 8 - 5m + 11

COMBINE the LIKE TERMS

= (1m - 5m) + (8 + 11)

= 1m - 5m + 8 + 11

= -4m + 19

Therefore, your answer is: -4m + 19

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To determine the cases of oil can you get from a 25 drum of oil:

​

Step 1: 1 gallon = 4 quarts

Hence from 25 gallon oil drum, 25 x 4 = 100 quart-size bottles can be filled.

Step 2: One case will pack 6 quart size bottles.

1 case will pack 6 quarts

Therefore number of cases from a 25 drum of oil = 17 cases of oil

Hence the correct answer is Option B

Answer:

the answer is behind the head and eyes closed pass

S

Answer:

The given function is:

f(x) = 1/(x - 2), x ≠ 2

0, x = 2

To find the inverse of the function, we need to solve for x in terms of f(x).

Let y = f(x)

Case 1: When y = 0

If y = 0, then x = 2 as per the definition of the function.

Case 2: When y ≠ 0

y = 1/(x - 2)

1/y = x - 2

x = 1/y + 2

So, the inverse function is:

f-¹(x) = 2, x = 0

1/(x - 2), x ≠ 0 and x ≠ 2

Step-by-step explanation:

The total cost of producing the additional units is $767.50.

In order to determine the total cost of producing 10 additional units assuming 2 units are currently being produced, we would have to integrate the marginal cost function for this handbag manufacturer with respect to x, and over the interval [10, 2].

Based on the information provided above, the marginal cost function for this handbag manufacturer is given by this function;

C'(x) = 0.046875x² − x + 100

₂∫¹⁰C'(x)dx = ₂∫¹⁰(0.046875x² − x + 100)dx

₂∫¹⁰C'(x)dx = ₂∫¹⁰(0.046875x²)dx − ₂∫¹⁰(x)dx + ₂∫¹⁰(100)dx

₂∫¹⁰C'(x)dx = 0.046875x³/3|¹⁰₂ - x²/2|¹⁰₂ + 100x|¹⁰₂

₂∫¹⁰C'(x)dx = 0.015625(10³ - 2³) - 1/2(10² - 2²) + 100(10 - 2)

₂∫¹⁰C'(x)dx = 0.015625(1000 - 8) - 0.5(100 - 4) + 100(8)

₂∫¹⁰C'(x)dx = 0.015625(992) - 0.5(96) + 800

₂∫¹⁰C'(x)dx = 15.5 - 48 + 800

₂∫¹⁰C'(x)dx = $767.50

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Answer:

i think this might be it? but most likely :) <3

Step-by-step explanation:

Answer:

x = 1 and x = 3

Step-by-step explanation:

Move 8x over to get the equation 2x² - 8x +6 = 0

Then factor to get (2x - 2)(x - 3)

Set both factors equal to zero and solve

2x - 2 = 0

2x = 2

x = 1

x - 3 = 0

x = 3

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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d=√((x2-x1)²+(y2-y1)²)

using above formula,

AB= 4.47

BC= 5

CD = 4.47

DA = 5

Area = L×B = 5 × 4.47 = 22.35 sq unit.

See alternative y coordinates are equal so this is rectangle

AD

BC

AB

CD

Area

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer:

960 calories for the 64 oz jug

Step-by-step explanation:

6 oz for 90 calories.

64 oz for ??? calories.

It's a ratio, 6:90

and            64:???

so  6 * 10 2/3 is 64.

so 90 * 10 2/3 is ???

960 is ???

Answer:

I believe that would look like this

64 x 90 / 6 = 960 calories

Answer:

gracias por lo 20 puntos

Step-by-step explanation:

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

43.75

Step-by-step explanation:

25 divided by 100=.25

.25*35=8.75

8.75+35=43.75

The store paid a price of $28 for the item.

Mark up percentage is the percentage of profit on a certain service or commodity.

We know the formula to calculate mark up percentage.

Mark up Percentage = [(Selling price - Cost) / cost] × 100

Here, given that,

Mark up percentage = 25%

Selling price = $35

We have to find the cost.

Let x be the price that the store paid for the item.

Substitute the given values in the formula for mark up percentage.

25 = [(35 - x) / x] × 100

Dividing both sides of the equation by 100,

25/100 = (35 - x) / x

0.25 = (35 - x) / x

Multiplying both sides with x,

0.25x = 35 - x

Adding both sides with x,

0.25x + x = 35

1.25x = 35

Dividing both sides by 1.25,

x = 35 / 1.25

x = 28

Hence the price of the item that the store paid is $28.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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Step-by-step explanation:

can't c please type the question..

Answer:

d

Step-by-step explanation:

Answer:

I think the answer is 4.00

The parts of the given expression are constant term is -2 and the other term is 4.2m.

The given expression is 4.2m+(8 divided 2)-6.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

4.2m+(8 divided 2)-6

= 4.2m+8/2 -6

= 4.2m+4-6

= 4.2m-2

Here, the constant term =-2 and the other term is 4.2m

Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.

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Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.

Given that,

Mass of the sculpture of the earth = 829 kg

We know that,

Mass of an hydrogen atom = 2 × 10⁻²⁷ kg

Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom

                                              = 829 / 2 × 10⁻²⁷

                                              = 414.5 × 10²⁷

                                              = 4.145 × 10²⁹

Hence the required number of atoms is 4.145 × 10²⁹.

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