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3 years ago

Two numbers have a sum of fourteen. The larger number is twice the smaller number plus two. What are the two numbers?

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

Answer:

the numbers are 4 and 10!

Step-by-step explanation:

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A recipe calls for 3 1/2 cups of sugar. If you want to make only 1/3 of the recipe, how much sugar should you use?

Sav [38]

Answer: 1 1/6 cups of sugar

Step-by-step explanation:

First let’s convert 3 1/2 into an improper fraction: 7/2

Then we multiply 7/2 by 1/3: 7/2*1/3=7/6

Then finally we convert 7/6 into a mixed number, so your answer will be 1 1/6

3 0

3 years ago

Solve for x. Please look at the picture and answer it. Thank you.

SVEN [57.7K]

Answer:

$\tt x=21$

Step-by-step explanation:

$\tt 45+63+4x-12=180$

$\tt \cfrac{4x}{4} =\cfrac{180-96}{4}$

$\tt x=21$

7 0

2 years ago

Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a

agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$3.25\%=\frac{3.25}{100}=0.0325$

$A=6500(1+\frac{0.0325}{1})^{1\cdot 8}$

$A=6500(1+0.0325)^{8}$

$A=6500(1.0325)^{8}$

$A=6500(1.2915775352963673)$

$A=8395.253979$

Now we will subtract principal amount from final amount to find amount of interest as:

$\text{interest}=8395.253979-6500$

$\text{interest}=1895.253979\approx 1895.25$

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0

3 years ago

Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies. How much sugar does Ginny need to make 36 of the

Delicious77 [7]

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Step-by-step explanation:

Given,

Sugar cups required for 24 cookies = $1\frac{1}{2}=\frac{3}{2}\ cups$

Ratio of sugar cups to cookies = $\frac{3}{2}:24$

Let,

x be the number of cups needed for 36 cookies.

Ratio of sugar cups to cookies = $x:36\\$

Using proportion;

Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

$\frac{3}{2}:24::x:36$

Product of mean = Product of extreme

$24*x=\frac{3}{2}*36\\24x=54$

Dividing both sides by 24

$\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}$

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Keywords: fraction, proportion

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago

Help on this math question ‍♀️

noname [10]

Answer:

the 2nd 3rd and 4th answers are the correct ones

Step-by-step explanation:

hope this helps you

4 0

3 years ago