Engineering=120+22x; Business=105-4x;Biology=98+6x; how many years will it be before Engineering has twice as many students as Business; how many years will it be before Engineering has twice as many students as Biology.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

Engineering=120+22x;

Business=105-4x;

Biology=98+6x;

If Engineering has twice as many student as biology then,;

120+22x = 2(98+6x)

Expand

120+22x = 196+12x

Collect like terms

120-196 = 12x-22x

-76 = -10x

x = -76/-10

x = 7.6

Hence it will take like 7 and a half years before engineering has twice as many student as biology


Related Questions

The last option is :
The slope is 4, and the y-intercept is 12.

Answers

Answer:

the last option

Step-by-step explanation:

slope: 4/1

y-intercept: 12

hopefully this helps :)

which steps show how to use the distributive property to evaluate. 7•32

Answers

Answer:

7(32)=7(30+2)=7*2=210+14=224

Step-by-step explanation:

nd the star is the multiplacations sign bcz i dont have the dot mk.

Amanda is spreading new grass seed on her yard. The area of her yard is 4,995 square feet. The instructions on the bags of grass seed say that one bag of seed should be used for every 100 square yards. How many bags of grass seed should Amanda use?

Answers

Answer:

499500

Step-by-step explanation:

Hope this helps. :)

Answer:

Calculate Grass Seed Quantity

From the table above, Sun & Shade Mix requires 6 lbs. of seed per thousand sq. ft. for a new planting.

Step-by-step explanation:

Are the expressions 8a2 - 4b + 7a2 and 5(3a2 - 2b) + 6b equivalent? Explain your reasoning.

Answers

Answer:

Yes, The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent

Step-by-step explanation:

To answer the question you must simplify each expression, then compare them to find if they are equivalent or not  

∵ The 1st expression = 8a² - 4b + 7a²  

→ Add the like terms

∴ The 1st expression = (8a² + 7a²) - 4b

The 1st expression = 15a² - 4b

∵ The 2nd expression = 5(3a² - 2b) + 6b

→ Multiply the bracket by 5

∴ The 2nd expression = 5(3a²) - 5(2b) + 6b

∴ The 2nd expression = 15a² - 10b + 6b

→ Add the like terms

∵ The 2nd expression = 15a² + (-10b + 6b)

∴ The 2nd expression = 15a² + -4b

→ Remember (+)(-) = (-)

The 2nd expression = 15a² - 4b

∵ The 1st expression = The 2nd expression

∴ The two expressions are equivalent

The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent

Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.

Answers

Answer:

Let p= the number of phones sold

Let a= the number of accessories sold

Step-by-step explanation:

10p+4a=126

a=p+7

The system of equation should be 10p+4a=126 and a=p+7

Given that,

Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones.

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

Here we assume  p= the number of phones sold

And,  a= the number of accessories sold

So, the equations are 10p+4a=126 and a=p+7

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-3/4 - 1/4 to tired and I'm struggling with this

Answers

Answer:

-1

Step-by-step explanation:

[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - \dfrac{3}{4} - \dfrac{1}{4} \\ \\ \rm - \dfrac{3}{4} - \dfrac{1}{4} = \dfrac{ - 3 - 1}{4} : \\ \rm \longrightarrow \dfrac{ - 3 - 1}{4} \\ \\ \rm - 3 - 1 = - (3 + 1) : \\ \rm \longrightarrow \dfrac{ - (3 + 1)}{4} \\ \\ \rm 3 + 1 = 4 : \\ \rm \longrightarrow \dfrac{ - 4}{4} \\ \\ \rm \dfrac{ - 4}{4} = \dfrac{4}{4} \times ( - 1) = - 1 : \\ \rm \longrightarrow - 1[/tex]

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *

Answers

Answer:

               [tex]\bold{\dfrac8{15}}[/tex]  of the cake      

Step-by-step explanation:

[tex]\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}[/tex]

There was 3/3 of the cake left

The Jones family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget?​

Answers

Answer:

hi whats up

Step-by-step explanation:

Answer:

$4000

Step-by-step explanation:

$600 = .15x where x is the total monthly budget

x = $600/.15

x = $4000

Can someone please explain how to do this problem for me?

Three people eat 2 pizzas altogether. Both pizzas are the same size. One person eats 2/3 of a pizza. A second person eats 1/2 of a pizza. How much pizza does the third person eat?

Answers

Answer:

i think it would be the whole pizza i think that is correct

Step-by-step explanation:

Answer: the third person did not eat anything.

Step-by-step explanation: because there would be no more pizzas left

School supplies cost $27 but after tax the total was $29.96 what is the percentage of tax payed?

Answers

Answer:

Step-by-step explanation:

50 sum i think

Increase £2193.67 by 18.5% Give your answer rounded to 2 DP.

Answers

Work out 10% then 1% x 8
Then 0.1% x 5
Then times by 2193.67

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece meters long. Then she cuts a piece meters long from the remaining ribbon. How much ribbon does Leah have left? A. 10 meters B. 25 meters C. 5 meters D. 12 meters

Answers

This question is incomplete

Complete Question

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

A.) -12 meters

B.) -5 meters

C.) 5 meters

D.) 12 meters

Answer:

C.) 5 meters

Step-by-step explanation:

From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon.

Step 1

3 4/9 meters + 6 5/9 meters

Least Common Denominator = 9

(3+ 6) + [ 4/9 + 5/9)

9 + [4 + 5/9]

9 + [9/9]

9 + 1

= 10 meters

This means, the total number of ribbons cut is 10 meters

The amount of ribbon Leah has left =

Initial length of ribbon - Amount of ribbon cut

= 15 meters - 10 meters

= 5 meters

Hence, Leah has 5 meters long of ribbon left

Answer:

the answer is 5 meters left

Step-by-step explanation:

A large box is packed with 6 rows of 8 boxes of dried cranberries in the bottom layer. The box is about 4 layers high. Estimate the volume of the large box if each box of dried cranberries has a volume of 16 cubic inches.

Answers

Answer:

Step-by-step explanation:

The estemit will be 0

What’s your philosophy in life?

Answers

Answer:

The philosophy of life would include things like how you decide what is “good” and “bad”, what “success” means, what your “purpose” in life is (including if you don't think there is a purpose), whether there is a God, how we should treat each other, etc

Step-by-step explanation:

Please help 20 POINTS

Answers

Answer:

LGK=90

Step-by-step explanation:

BRAINLIEST

Simplify.
24x2/
23x6

Answers

Answer:

16/23

Step-by-step explanation:

well,

24 x 4 = 96

23 x 6 = 138

96/138 = 16/23

24×2/23×6

48/138

=0.3380

Evaluate the function y = 20 + 5m when m = 13.

Answers

Y=85
I substitute the M in the five with the 13 Then you normally solve

Your answer is:

y = 85

Hope this helped! -Perplxxd

Use the data in the table. Which equation shows the number of trees planted per week.

A: y= 13x
B: y= 65x
C: y= 130x
D:y= 325x

Answers

Since each one week 65 trees are planted. The answer is B

Answer:

the picture is blocked but i say b

Step-by-step explanation:

What is the slope of this line select 1 answer

Answers

Answer:

Undefined

General Formulas and Concepts:

Algebra I

Vertical Line Test - Shows if a graph is a function

Step-by-step explanation:

We see from the graph that we have a vertical line. Any vertical line will have an undefined slope.

An SUV costs $26,425 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $33,195 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?

Answers

Answer:

135,400 miles

Step-by-step explanation:

SUV cost = $26,425 + $0.18m

= 26,425 + 0.18m

Hybrid SUV cost = $33,195 + $0.13m

= 33,195 + 0.13m

Where,

m = number of miles

Equate the cost of the two SUVs

33,195 + 0.13m = 26,425 + 0.18m

33,195 - 26,425 = 0.18m - 0.13m

6,770 = 0.05m

divide both sides by 0.05

m = 6,770 / 0.05

= 135,400

m = 135,400 miles

The gas-only SUV exceed the cost of the hybrid after 135,400 miles

What is the coefficient on x in the product of (3x+2)(x+4)?

Answers

Answer:

3

Step-by-step explanation:

Answer: i guess 3

Step-by-step explanation:

If the measure of <5 = 102° then the measure of <8 = what

Answers

Answer: 163.2°

Step-by-step explanation:

What is the constant of variation for a function that is a direct variation and whose graph passes through the point (5,82)?

Answers

Answer:

For a direct variation equation passing through

(

x

,

y

)

=

(

5

,

6

)

we have

6

=

m

(

5

)

m

=

6

5

and the direct variation equation is

y

=

(

6

5

)

x

which you might re-write as

5

y

=

6

x

The constant of variation for a function that is a direct variation and whose graph passes through the point (5,82) is 16.4

For a graph with x and y-axis, we can say that y is directly proportional to "x" since it is a direct variation.

If y is directly proportional to x, this is expressed as:

y = kx

k is the required constant of variation.

Since the graph passes through the point (5,82), this shows that x = 5 and y = 82

Substituting into the formula:

82 = 5k

k = 82/5

k = 16.4

Hence the constant of variation for a function that is a direct variation and whose graph passes through the point (5,82) is 16.4

learn more here: https://brainly.com/question/10726916

2. Which coordinate is not on the graph of the equation t = 3
A (-5, -25)
B. (2, -19)
C. (3, -11)
D. (6,-3)

Answers

Answer:

Definir : que son las lineas imaginarias? ¿Que me permiten realizar?

Step-by-step explanation:

perdonon

Builders and architects use scale models to help them design and build new buildings. An architecture
student builds a model of an office building in which the height of the model is times the height of
400
the actual building, while the width and length of the model are each times the corresponding
200
dimensions of the actual building. The model includes several triangles. Could a triangle in the model be
similar to a corresponding triangle in the actual building? Could a triangle in the model not be similar to a
triangle in the actual building? Complete the explanation.
A triangle that has vertices at one height only, meaning it is parallel to the ground, will have side lengths
1
that are each times the side lengths of the corresponding triangle in the actual building. The two
200
triangles are similar by the ? Triangle Similarity Theorem. A triangle that has vertices at several
heights will? have side lengths that form a constant ratio with the side lengths of the
corresponding triangle in the actual building. These triangles will ? be similar

Answers

Answer:

sss,not,not

Step-by-step explanation:

input those answers in the correct order. brainliest plz


I’m thinking it’s 3-3=0 but that will leave me to no answer help me pls

Answers

Answer:

2 1/4

Step-by-step explanation:

answer: 1 1/4 or 5/4




step by step:
3-1 3/4
3-7/4=5/4
5/4=1 1/4

what did you mean by thinking it was 3-3=0 ?

please help will mark brainlyist if right

Answers

Use your brain. This should work.

The domain of a function is given by {-4,2,8}. If the function is defined by y= x +1 /3 ,then which of the following values is a member of the range?

Answers

Answer:

{-1, 1, 3}

Step-by-step explanation:

Given the function

y = (x + 1)/3

The domain are the input value x while the range are the output values given the input value x;

Given the domain {-4, 2, 8}

when x = -4;

y = (-4+1)/3

y = -3/3

y = -1

when x = 2;

y = (2+1)/3

y = 3/3

y = 1

when x = 8;

y = (8+1)/3

y = 9/3

y = 3

Hence the member of the range are {-1, 1, 3}

A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese. How many combined ounces of meat and cheese are used on each sandwich?

Answers

Answer:

Step-by-step explanation:

Given : For each sandwich:

Quantity of meat used = 4 ounces

Quantity of cheese used = 3 ounces

The combined ounces of meat and cheese are used on each sandwich =

Quantity of meat used + Quantity of cheese used

= 4 ounces + 3 ounces

= 7 ounces

Hence, The combined ounces of meat and cheese are used on each sandwich =  7 ounces

If 3x - 9y = 21 and 6x + 3y = 21, which of these could be a value of x or y? Select all that apply.

Answers

Answer:

x = 4

y = -1

Step-by-step explanation:

3x-9y = 21

6x+3y =21

-2* (3x-9y) = -2*(21)

6x+3y = 21

-6x+18y = -42

6x+ 3y =   21

-6x+6x+18y+3y = -21

21y = -21

y --21/21

y = -1

3x-9y =21

3x - 9*(-1) = 21

3x + 9 =21

3x = 21-9

3x = 12

x = 12/3

x = 4

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