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3 years ago

how do I solve 7v-(2v-16)=5(v+4) please explain if it is a one solution, no solution or infinite solution

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

Do the indicated mult. first:

7v - 2v + 16 = 5v + 20
5v + = 5v +20. This is never true. NO solution.

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If a recipe says 1/4 for 4 servings then how many cups will 8 serving be for?

ehidna [41]

$\dfrac{1}{4}\dots4 \\x\dots8 \\\dfrac{\frac{1}{4}}{x}=\dfrac{4}{8} \\\dfrac{1}{4x}=\dfrac{1}{2} \\1=2x \\x=\boxed{\dfrac{1}{2}}$

Hope this helps.

5 0

3 years ago

Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder

vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be $x$ and $y$ the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) She found that 4 cylinders and 5 prisms weigh 32 ounces:

$4\cdot x +5\cdot y = 32\,oz$ (Eq. 1)

ii) And that 1 cylinder and 8 prisms weigh 35 ounces:

$x + 8\cdot y = 35\,oz$ (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

$x = 35 - 8\cdot y$

(Eq. 2) is (Eq. 1):

$4\cdot (35-8\cdot y) + 5\cdot y = 32$

$140-32\cdot y +5\cdot y = 32$

$32\cdot y - 5\cdot y = 140-32$

$27\cdot y = 108$

$y = 4\,oz$

From (Eq. 2):

$x = 35 - 8\cdot (4)$

$x = 35 - 32$

$x = 3\,oz$

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

4 0

3 years ago

A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to

Archy [21]

Answer:

Step-by-step explanation:

Ok so if u are shipping boxes in a right rectangular prism u will need to either divide or multiply. if he wants to make each box to be exactly 98 cubic feet then he will need to divide so when u do the u will need to find the first part of the answer then u will divide it by 98 cubic feet :> hope u get what i meant

6 0

3 years ago

How do I solve The sum of a number and 3 is subtracted from 10 the result is 5

meriva

State the given in the question

Given that the sum of a number and 3 is subtracted from, the result is 5

State what is to be found in the question

We are to find the number. In other to achieve this, we would follow the steps below:

Step 1: Represent the number with an unknown

Let x represent the number

Step 2: Interpret the given statement mathematically

If x is the number, then the sum of the number and 3 would be

$x+3$

Then the sum of a number and 3 subtracted from 10 would be

$10-(x+3)$

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

$10-(x+3)=5$

Step 3: Solve for x in the mathematical interpretation of the given statement

The value of x is as calculated as shown below:

$\begin{gathered} 10-(x+3)=5 \\ \text{Open the bracket or the parenthesis} \\ 10-x-3=5 \\ \text{collect like terms} \\ 10-3-5=x \\ 7-5=x \\ 2=x \\ \text{Therefore:} \\ x=2 \end{gathered}$

Hence, the number is 5

4 0

1 year ago

-4/5, -1/2, 0.25, -0.2 least to greatest

galina1969 [7]

Answer:

-4/5,-1/2,-0.2,0.25

Step-by-step explanation:

To order these, it would be best to convert them into decimals.

-4/5 is equal to -0.8

-1/2 is equal to -0.5

-0.8 is the least, because the further left on a number line, the less the number is.

-0.5 is next and then -0.2

Finally, 0.2 is the greatest

-4/5,-1/2,-0.2,0.25

Hope this helps :-)

3 0

3 years ago