All categories

2 years ago

A cook has 4 cups of raisins to make oatmeal cookies. The recipe requires 3 cup of raisins for each

Mathematics

1 answer:

Ierofanga [76]2 years ago

7 0

Answer: 1⅓ batch of cookies

Step-by-step explanation:

From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.

Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:

= 4/3

= 1⅓ batch of cookies

You might be interested in

In a race, 41 out of the 50 bicyclists finished in less than 38 minutes. What percent of bicyclists finished the race in less th

storchak [24]

For left put 2 on each
On the box over 100 put 82, and put 82 in the box on the right

5 0

3 years ago

Read 2 more answers

Find the value of x such that 365 based seven + 43 based x = 217 based 10.

Pepsi [2]

We need to find the base x in the following equation:

$365_7+43_x=217_{10}$

First, lets convert 365 from base 7 to base 10. This is given by

$365_7=3\times7^2+6\times7^1+5\times7^0$

where the upperindex denotes the position of eah number. This gives

$\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}$

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

$43_x=4\times x^1+3\times x^0$

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

$43_x=(4x+3)_{10}$

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

$194_{10}+(4x+3)_{10}=217_{10}$

For simplicity, we can omit the 10 and get

$194+4x+3=217$

so, we can solve this equation for x. By combining similar terms. we have

$197+4x=217$

and by moving 197 to the right hand side, we obtain

$\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}$

Finally, we get

$\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}$

Therefore, the solution is x=5

8 0

1 year ago

There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. if

love history [14]

Answer:

v = 5.6m

Step-by-step explanation:

Proportional relationship equation:

y = kx, where k- constant of proportionality

Use the given point to work out the value of k:

28 = 5k
k = 28/5
k = 5.6

In our case the equation is:

v = 5.6m, where v- volume, m- mass

6 0

2 years ago

Help please if m1 = 72 then find the value of m3

Dima020 [189]

m<3 =72°

This is because m<1 and m<3 are vertically opposite.

8 0

2 years ago

Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity

aleksklad [387]

$\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)$

7 0

2 years ago