What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390
6A + 4B + 5.75C = 405​

Answers

Answer 1

Answer:

C = 20

Step-by-step explanation:

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390

6A + 4B + 5.75C = 405​

Step 1

We solve for C first

6A + 4B + 5C = 390....Equation 1

6A + 4B + 5.75C = 405​... Equation 2

We substract Equation 1 from Equation 2

0.75C = 15

C = 15/0.75

C = 20


Related Questions

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.

Answers

Answer:

17/9

Step-by-step explanation:

The scaled figure in the right is larger, thus the scale factor is greater than 1.

17/9 is the answer hope this helps

Not super urgent but need this simplified..

Answers

Answer:

bottom ans , because a⁶+a¹ = a⁷

also (•) this symbols related to x (times/multiply) and x is consider as +

Liz and erin are different ages but eat from the same size of bowl. Liz ate 4 servings of cereal. Each serving was 1/3 of a bowl. Erin ate 3 servings of cereal. Each serving was 2/3 ​of a bowl. Who ate more bowls of cereal?

Answers

Erin ate more because
1/3+1/3+1/3+1/3= 1and1/3 which is Liz’s amount of cereal and Erin ate 2/3+2/3+2/3=2
So Erin ate 2 bowels of cereal

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60

Whats the Inequality

Answers

Answer:

7.50 + 14x < 60

x < 3.75

Step-by-step explanation:

Let

x = number of pizzas ordered

Delivery fee = $7.50

Cost per pizza = $14

Total cost should be less than $60

The inequality

7.50 + 14x < 60

14x < 60 - 7.50

14x < 52.5

x < 52.5/14

x < 3.75

Which expression is equivalent to 27 Σ 8n? N=0 hurry please my life depends on it

Answers

Given:

The expression is:

[tex]\sum\limits_{n=0}^{27}8n[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

According to the property of summation:

[tex]\sum\limits_{n=0}^{k}Cn=C\sum\limits_{n=0}^{k}n[/tex]

Where, C is a constant.

We have,

[tex]\sum\limits_{n=0}^{27}8n[/tex]

Using the above mentioned property of summation, we get

[tex]\sum\limits_{n=0}^{27}8n=8\sum\limits_{n=0}^{27}n[/tex]

The expression [tex]8\sum\limits_{n=0}^{27}n[/tex] is equivalent to the given expression.

Therefore, the correct option is C.

help me complete it fast pls

Answers

Answer:

AC < AB

Step-by-step explanation:

We can see just by looking at it, they are not the same length.

A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?

Answers

Answer:60%

Step-by-step explanation:

3. Which of the following is equivalent to
3-3

Answers

Step-by-step explanation:

must be _1/27 in my opinion it's that

Consider the functiony = 3x^5 - 25x^3 + 60x+ 1. Use the first derivative test to decide whether this function has a maximum at x = 1. Which of the following describes what you found?

A. The derivative is positive to the left of x = 1 and positive to the right of x = 1, so the function has neither a relative maximum nor a minimum at x = 1.

B. None of these apply

C. The derivative is negative to the left of x = 1 and positive to the right of x = 1, so the function has a relative minimum at x = 1.

D. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative maximum at x = 1.

E. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative minimum at x = 1.

Answers

Answer:

Option A

Step-by-step explanation:

Expression for the given function is,

y = 3x⁵ - 25x³ + 60x + 1

First derivative of the given function will be,

y' = 15x⁴ - 75x² + 60

For the critical points of the function,

y' = 0

15x⁴ - 75x²+ 60 = 0

x = 1

On the left side of x = 1,

Let x = 0

y' = 15(0)⁴ - 75(0)²+ 60

y = 60 [Positive]

On the right side of x = 1,

Let x = 3

y' = 15x⁴ - 75x²+ 60

y' = 15(3)⁴ - 75(3)² + 60

y' = 1215 - 675 + 60

y' = 600 [Positive]

Since, the derivative is positive on both the sides of x = 1,

Function will have neither maximum neither minimum at x = 1.

Option A is the answer.

sin(A+B-C) find the equation​

Answers

Answer:

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Step-by-step explanation:

Given:

Sin (A + B - C)

Find;

Expansion of given expression

Computation:

Sin (A + B - C)

Sin [(A + B) - C]

Sin(A + B)CosC - Cos(A + B)SinC

[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC

SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

A flower shop has 8 bouquets of red lilies, 5 bouquets of pink lies and 7 bouquets of violet lilies. Raymond who is colorblind buys his gf a bouquet of lilies. What is the probability of raymond not picking red lilies

Answers

Answer:

12/20, or 3/5

Step-by-step explanation:

To find the probability of Raymond not picking red lillies, we first must establish the total amount Raymond can choose from as well as the amount of non-red lillies.

The total amount Raymond can choose from is the amount of bouqets. There are 8 red ones, 5 pink ones, and 7 violet ones. This means that there are 8+5+7=20 total bouquets.

The amount of non-red lillies is determined because we are asked to find the probability of selecting a non-red bouquet. We find the number of non-red bouquets by subtracting the total (20) by the number of red bouquets (8) to get 12.

Therefore, the total amount is 20 and the number of non-red bouquets is 12. Thus, if Raymond picks one bouquet, the probability of him selecting a non-red one is 12/20, or 3/5. The probability of him picking up a red bouquet, similarly, would be 8/20, as there are 8 options of red bouquets out of 20 total

Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)


15a) Set the equation equal to 0 by inverse operations.




15b) Place the equation in factored form.




15c) Set each factor equal to 0 and solve for x.


I need help asap will give brainlist if answered and work is showed!

Answers

Step-by-step explanation:

15a)

[tex]x^2+4x=21[/tex]               Subtract both sides by 21

[tex]x^2+4x-21 =0[/tex]

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7  

x-3=0

x=3              

Use similar triangles to find the value of x and y​

Answers

Answer:

x = 12

y = 9.6

Step-by-step explanation:

Using ratios

5        10

---  = -----

6         x

Using cross products

5x = 6*10

5x = 60

Divide by 5

5x/5 = 60/5

x = 12

5        8

---  = -----

6         y

Using cross products

5y = 6*8

5y = 48

Divide by 5

5y/5 = 48/5

y = 9.6

Answer:

the other guy/ girl is correct!

Step-by-step explanation:

i'm doing practice problems by solving unsolved similarity math problems on brainly. his/her answers is correct!

Which expression is equivalent to

Answers

Answer:

The second one from the top

Step-by-step explanation:

x^(5/3) y^1/3)

Answer:

you can rewrite expressions, for example

[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]

so yeah, option b is correct

Name the marked angle in 2 different ways.

Answers

1) Angle EGF

2) Angle FGE

On Saturdays, Jorge coaches soccer for 1/12 of the day. He also coaches tennis and swimming, each for the same amount of time as soccer. What fraction of the day does Jorge spend coaching on Saturdays.

Answers

Answer:

3/12 or SIMPLIFIED = 1/4

Step-by-step explanation:

If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4

30 Yuri has two plum trees, A and B. in his garden
А
B
Tree A produces 20kg of plums.
Tree B produces 10% more than tree A.
How many kilograms of plums in total does Yuri get from the trees?
Show your working​

Answers

Answer:

42kg

Step-by-step explanation:

We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.

Step 1:

Tree B produces 10% more than Tree A, which produces 20kg of plums:

[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]

Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.

Step 2:

[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]

Yuri gets 42 kg of plums from the trees.

I hope this helps! Let me know if you have any questions :)

50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.

One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.

The prism said to have an equilateral triangle base has the measurements shown.



Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.



Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?



Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.



The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?



Part D
Some of the measurements of the triangular prism with a right triangle base are shown.



What is the length of the hypotenuse of the base?



Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?

Answers

Answer:

A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:

13² = 12² + 5²

169 = 144 + 25

169 = 169

D:4*sqrt(2)

E: LSA of a cube = 100 in²

Step-by-step explanation:

Hope this helps

which of the following numbers must be added to complete the square in the equation below x^2+16x=5​

Answers

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick

Answers

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

Find the value of x if necessary you may learn what the marking on a figure indicate

Answers

Answer:

Step-by-step explanation:

You are baking a cake. The recipe asks for \frac{3}{5} 5 3 ​ cup of butter and you want to make \frac{1}{5} 5 1 ​ of the original recipe. How many cups of butter will you need?

Answers

Answer:

3/25 cup of butter

Step-by-step explanation:

You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.

The calculation for the above question is given below:

1 recipe = 3/5 cup of butter

1/5 recipe = x

Cross Multiply

x × 1 recipe = 1/5 recipe × 3/5 cup of butter

x = 1/5 recipe × 3/5 cup of butter /1 recipe

x = 3/25 cup of butter

Therefore, you will need 3/25 cup of butter

A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.

The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.

Answers

Answer:

sqrt(3/8) = t

.61237 = t

Step-by-step explanation:

h(t)=−16t^2+10

Let h(t) = 4

4 =−16t^2+10

Subtract 10 from each side

4-10 =−16t^2+10-10

-6 = -16 t^2

Divide by -16

-6/-16 = t^2

3/8 = t^2

Take the square root of each side

sqrt(3/8) = sqrt(t^2)

sqrt(3/8) = t

.61237 = t

We only take the positive since time is not negative

Which function is represented by this graph

Answers

Answer:

B. f(x)= 2x-1

Step-by-step explanation:

The -1 is the y-intercept; 2x is the slope.

Answers all questions correctly and show all work

1 . J + -2 = -22

2 . b - 19 = -11

3 . Y/7 = - 7

4 . -10 = -2y

Answers

Answer:

J = - 20

b = 8

Y = - 49

y = 5

Step-by-step explanation:

j + - 2 = - 22

j - 2 + 2 = - 22 + 2

j = - 20

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

b - 19 = - 11

b - 19 + 19 = - 11 + 19

b = 8

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

y ÷ 7 = - 7

y ÷ 7 × 7 = - 7 × 7

y = - 49

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

- 10 = - 2y

- 2y = - 10

- 2y ÷ - 2 = - 10 ÷ - 2

y = 5

so L x W=A so I have a problem where one side is 9cm on the other sides there's nothing​

Answers

Answer:

The other sides equal 9cm also because a square has four equal sides.

L=9cm * W=9cm =A

A=81 cm

solve for x, show work please! 25 points.

Answers

Answer:

C

Step-by-step explanation:

8x + 2 = 7x + 8

<=> 8x - 7x = -2 + 8

<=> x = 6

Answer:

Option C

Step-by-step explanation:

Here,

8x + 2 = 7x +8 [Since Alternate interior angle]

=> 8x - 7x = 8 - 2

=> x = 6 (Ans) (Option C)

Find the cube root of 512​

Answers

Answer:

[tex]\sqrt[3]{512} = 8[/tex]

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]

      [tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]

Answer quickly please

Answers

Answer:

56

Step-by-step explanation:

please I'm not sure about the answer above but I'll try to solve it and help you later

The potential solutions to the radical equation are a = −4 and a = −1. Which statement is true about these solutions? The solution a = −4 is an extraneous solution. The solution a = −1 is an extraneous solution. Both a = −4 and a = −1 are true solutions. Neither a = −4 nor a = −1 are true solutions.

Answers

Answer:

Both a = −4 and a = −1 are true solutions

Step-by-step explanation:

Given

[tex]\sqrt{a + 5} = a + 3[/tex]

[tex]a = -4; a = -1[/tex]

Required

The true statement about the solutions

We have:

[tex]\sqrt{a + 5} = a + 3[/tex]

Square both sides

[tex]a + 5 = (a + 3)^2[/tex]

[tex]a + 5 =a^2 + 6a + 9[/tex]

Collect like terms

[tex]a^2 + 6a - a + 9 - 5 = 0[/tex]

[tex]a^2 + 5a + 4 = 0[/tex]

Expand

[tex]a^2 + 4a + a + 4 = 0[/tex]

Factorize

[tex]a(a + 4) + 1(a + 4) = 0[/tex]

Factor out a + 4

[tex](a + 1)(a + 4) = 0[/tex]

Split:

[tex]a + 1 = 0; a + 4 = 0[/tex]

Solve:

[tex]a =-1; a = -4[/tex]

Answer:

C on 3dge

Step-by-step explanation:

Both a = −4 and a = −1 are true solutions

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Airline F leases all its aircraft under finance leases. Airline O leases all its aircraft under operating leases. Assuming that the two airlines report under US GAAP and are otherwise identical except for the mentioned lease classifications, which of the following comments is true?a. Airline O has lower rent expense reported on its income statement b. Airline F has a lower EBITDA margin c. None of the listed answers d. Airline O has more lease liabilities e. Airline O has less lease assets at the inception of the lease How many teaspoons of salt can be added in a glass of water? Question 1 (Essay Worth 10 points)(02.01;02.02 MC)The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. 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Use the equation h = 16t2 + 64t + 4.Answer options: 2 plus or minus square root of 17 end root over 2quantity of 2 plus or minus square root of 17 all over 22 plus or minus 4 square root of 17quantity of 16 plus or minus square root of 17 all over 2 If someone can pls give the answer with steps that would be greatly appreciated :) cual es la capital de cuba What are redcoats advantages? which conclusion does brutus' argument best support 25x power square - 36 y power square How did the institution of slavery impact the economy of Mississippi? 0 It reduced the state's reliance on the triangular trade. O It led to the rise of textile production in the state. O It helped make cotton the foundation of the state's economy. It sped up the development of the state's manufacturing industries. using appropriate properties find the value of 3/5(-3)/10+1/15-3/51/5 please help me out Maxwell Washington's weekly gross earnings for the week ending March 9 were $2,620, and her federal income tax withholding was $550.20. Assuming the social security tax rate is 6% and Medicare tax is 1.5% of all earnings, what is Washington's net pay? 5. How are populations, ecosystems, and communities related? (1 point)O A community consists of an ecosystem and its physical environment, and an ecosystem is made up ofmany different populations of organisms.O A population consists of a community of organisms and its physical environment, and a community ismade up of many different ecosystems.O An ecosystem consists of a community of organisms and its physical environment, and a community ismade up of many different populations of organisms.O An ecosystem consists of a population of organisms and its physical environment, and a population ismade up of many different communities of organisms. The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway Scientist have cloned sheep but have not yet cloned a human.the best explanation for this situation is that Which of these is an example of someone using the process of evaluation?A. 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