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3 years ago

Lynne used 3/8 cup of flour and 1/3 cup of sugar in a recipe. what number is a common denominator for 3/8 and 1/3?

Mathematics

2 answers:

Aleks04 [339]3 years ago

6 0

The common denominator is 24 (8 times 3 is 24)

Dmitrij [34]3 years ago

5 0

Common denominator is 24 it would be 8 times 3 which equals 24

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Need help with this

kicyunya [14]

The answer is 70%. 28(number of all the sports besides soccer) divided by 40(number of all sports) is 0.7. Multiply 0.7 by 100 and you will get 70%.

8 0

4 years ago

A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

sineoko [7]

Answer:

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

6 0

3 years ago

Find the solution to the differential equation dz/dt = 7te^4z that passes through the origin.

andreev551 [17]

Answer:

$z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

Step-by-step explanation:

from the equation, $\frac{dz}{dt}=7te^{4z}\\$ .

we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e

$\frac{dz}{e^{4z}}=7tdt\\e^{-4z} dz=7tdt$ .

if we integrate both side,

$\int\limits^a_b{e^{-4z} } \,dz =\int\limits^a_b {7t} \,dt$

$-1/4e^{-4z} +c_{1}=7/2t^{2} +c_{2}\\-1/4e^{-4z}= 7/2t^{2} +c_{2}-c_{1}\\let c_{2}-c_{1}=c \\-1/4e^{-4z}= 7/2t^{2} +c$

since the equation passes through the origin, and at the origin z=0 and t=0

we substitute this values and solve for the constant c

$e^{-4*0}= 7/2*0 +c\\c=1$ .

If we substitute the value of c into the equation we arrive at

$(-1/4)e^{-4z}= (7/2)t^{2}+1\\ e^{-4z}=1-14t^{2} \\$

if we the the natural logarithm of both sides, we arrive at

$-4z=ln|1-14t^{2}|\\z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

3 0

3 years ago

What is the answer to 4n + 12 = 4

maw [93]

Answer:

$\Large\boxed{\mathsf{N=-2}}}$

Step-by-step explanation:

$\Large\boxed{\mathsf{SUBJECT: MATH }}}$

Isolate n on one side of the equation.

First, subtract 12 from both sides.

4n+12-12=4-12

Solve.

4-12=-8

4n=-8

Then, divide by 4 from both sides.

4n/4=-8/4

Solve.

Divide the numbers from left to right.

-8/4=-2

n=-2

$\Rightarrow \displaystyle \mathsf{\boxed{\mathsf{N=-2}}}}}}}$

So, the final answer is n=-2.

4 0

3 years ago

Read 2 more answers

Math problem time lol

Digiron [165]

The answer is 62.8
Use the formula C=(3.14)d
C=(3.14)(20)
C= 62.8

3 0

3 years ago

Read 2 more answers