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Cerrena [4.2K]
3 years ago
15

Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer: 1.2 cups

Step-by-step explanation:

The original ratio is 5/2, which is 2.5 in decimal form. Just plug in numbers for the 3/x ratio. 3/1.2 equals 2.5.

Hope this helps! Please make me brainliest! :)

Yakvenalex [24]3 years ago
4 0

Set up a ratio 3 cups of flour / 5 cups of flour = x cups of sugar/ 2 cups of sugar.

Cross multiply:

(3x2) / 5x = 6 = 5x

Divide both sides by 5

X = 6/5 cups of

B. Setting up a ratio calculates the proper amount of ingredients

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Answer:

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Step-by-step explanation:

3 0
3 years ago
How do I convert 2/5 to a decimal
Bond [772]
2÷5=0.4 so by dividing 2 by 5 you would get 0.4
4 0
3 years ago
Read 2 more answers
Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365
mamaluj [8]

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

  • To have a negative exponent value, move decimal to the right

  • To have a positive exponent value, move the decimal point to the left.

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

Read more:

brainly.com/question/10401258

4 0
2 years ago
Find each product mentally using the Distributive Property. Show the steps that you used. For 6x13 in distributive property​
aivan3 [116]

Using Distributive Property, the product of 6x13 is 78.

<h3>What is Distributive property?</h3>

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

To learn more about distributive property from given link

brainly.com/question/2807928

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3 0
1 year ago
Find the sum of the first 25 terms in this geometric series:<br> 8 + 6 + 4.5...
Ksivusya [100]

Step-by-step explanation:

Given the geometric sequence

8 + 6 + 4.5...

A geometric sequence has a constant ratio and is defined by

a_n=a_1\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

\frac{6}{8}=\frac{3}{4},\:\quad \frac{4.5}{6}=\frac{3}{4}

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=\frac{3}{4}

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

a_1=8

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

a_n=8\left(\frac{3}{4}\right)^{n-1}

\mathrm{Geometric\:sequence\:sum\:formula:}

a_1\frac{1-r^n}{1-r}

\mathrm{Plug\:in\:the\:values:}

n=25,\:\spacea_1=8,\:\spacer=\frac{3}{4}

=8\cdot \frac{1-\left(\frac{3}{4}\right)^{25}}{1-\frac{3}{4}}

\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{\left(1-\left(\frac{3}{4}\right)^{25}\right)\cdot \:8}{1-\frac{3}{4}}

=\frac{8\left(-\left(\frac{3}{4}\right)^{25}+1\right)}{\frac{1}{4}}

\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}

=\frac{8\left(-\frac{3^{25}}{4^{25}}+1\right)}{\frac{1}{4}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}

=\frac{\left(1-\frac{3^{25}}{4^{25}}\right)\cdot \:8\cdot \:4}{1}

\mathrm{Multiply\:the\:numbers:}\:8\cdot \:4=32

=\frac{32\left(-\frac{3^{25}}{4^{25}}+1\right)}{1}

=\frac{32\cdot \frac{4^{25}-3^{25}}{4^{25}}}{1}               ∵ \mathrm{Join}\:1-\frac{3^{25}}{4^{25}}:\quad \frac{4^{25}-3^{25}}{4^{25}}

=32\cdot \frac{4^{25}-3^{25}}{4^{25}}

=\frac{\left(4^{25}-3^{25}\right)\cdot \:32}{4^{25}}

=\frac{2^5\left(4^{25}-3^{25}\right)}{2^{50}}        ∵ \mathrm{Factor}\:32:\ 2^5,  \mathrm{Factor}\:4^{25}:\ 2^{50}

so

=\frac{4^{25}-3^{25}}{2^{45}}        ∵ \mathrm{Cancel\:}\frac{\left(4^{25}-3^{25}\right)\cdot \:2^5}{2^{50}}:\quad \frac{4^{25}-3^{25}}{2^{45}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a\pm \:b}{c}=\frac{a}{c}\pm \frac{b}{c}

=\frac{4^{25}}{2^{45}}-\frac{3^{25}}{2^{45}}      

=32-\frac{3^{25}}{2^{45}}            ∵  \frac{4^{25}}{2^{45}}=32

=32-0.024        ∵  \frac{3^{25}}{2^{45}}=0.024

=31.98            

Therefore, the sum of the first 25 terms in this geometric series: 31.98

3 0
3 years ago
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