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3 years ago

This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.

Mathematics

1 answer:

inna [77]3 years ago

3 0

To find the answer for one cup of flour, divide the cups of sugar by the cups of flour. Here’s how it works.

Since we want the proportion for 1 cup of flour, we divide it by itself to get 1.

Thus, we need to have equal sides, so we divide the number of cups of sugar by the amount the cups of flour divided by.

So: 2.5/7.5=1/3

1 cup of flour is proportional to 1/3 cups of sugar.

Hope this helps!

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The explicit rule for a sequence is given. an=4n−1 What is the recursive rule for the sequence?

Gnom [1K]

Answer:

$a_{n+1}=a_n+4$

Step-by-step explanation:

Have in mind the definition of the term $a_n=4\,n-1$ , and now work on what the term $a_{n+1}$ is based on the previous definition:

$a_{n+1} = 4\,(n+1)-1\\a_{n+1}=4\,n+4-1$

In the next step do NOT combine the numerical values, but try to identify the $a_n$ term ( $4\,n-1$ ) in the expression (notice the use of square brackets to group the relevant terms):

$a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4$

So now we have the term " $a_{n+1}$ " defined in a recursive manner based on the previous term " $a_n$ "

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2 years ago

Identify the equivalent expression for (m^1/3 m^1/5)^0

Lostsunrise [7]

Answer:

Step-by-step explanation:

The thing is, x^0 is always 1. So even if you simplify, it will still be 1.

$(m^\frac{1}{3}*m^\frac{1}{5})^0\\(m^\frac{8}{15})^0\\\text{But when put to the power of 0,}\\1.$

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2 years ago

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What is 8 3/4 ÷ 2 7/8 (show ur work)

xxMikexx [17]

Answer:

see below:-

Step-by-step explanation:

$\displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }$

Convert the mixed fractions into improper fractions.

$\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }$

$\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }$

$\displaystyle{ \frac{35}{4} \div \frac{23}{8} }$

$\displaystyle{ \frac{35}{4} \times \frac{8}{23} }$

$\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }$

$\displaystyle{ \frac{35 \times 2}{23} }$

$\displaystyle{ \frac{70}{23} }$

$\displaystyle{3 \frac{1}{23} }$

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2 years ago

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A particular brand of dishwasher soap is sold in three sizes: 25 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a

ss7ja [257]

Answer:

Please find solution in the picture attached

Step-by-step explanation:

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3 years ago

What Ratio can you write that compares days with games two days without them right this ratio three ways to

Ira Lisetskai [31]

Answer:

As a fraction: $\mathbf{\dfrac{363}{2}}$

As a colon, 363:2

By using the word to; we have: 363 to 2

Step-by-step explanation:

A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.

A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.

We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.

The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.

Suppose there are 365 days in a year and it appears that two days in that year exist without a game.

i.e.

365 - 2(days without game) = 363 days with a game

Then:

As a fraction: $\mathbf{\dfrac{363}{2}}$

As a colon, 363:2

By using the word to; we have: 363 to 2

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2 years ago

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