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2 years ago

The ratio of peanuts to almonds in a snack mix is 24 to 15. Simplify the ratio.

Mathematics

2 answers:

adoni [48]2 years ago

8 0

The simplified ratio of peanuts to almonds in a snack mix is 8 to 5

<h3>What is ratio?</h3>

Ratio is used to compare a quantity to another quantity of different measurements

The ratio is given as:

$Ratio = 24 : 15$

Divide the ratio by 3

$Ratio = 24/3 : 15/3$

Simplify each quotient

$Ratio = 8 : 5$

Hence, the simplified ratio is 8:5

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What is the recursive formula for this geometric sequence 4,-12,36,-108...

Natalka [10]

$a_{n+1}$ = - 3 $a_{n}$ with $a_{1}$ = 4

To find the next term in the sequence multiply the previous term by - 3

the common ratio r = $\frac{-108}{36}$ = $\frac{36}{-12}$ = - 3

$a_{n+1}$ = $a_{n}$ × r ← recursive formula

7 0

3 years ago

Read 2 more answers

Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

(PLEASE HELP) Chloe has 40 lollipops of these lollipops 15 of them are blue and the rest are red what is the ratio of the number

statuscvo [17]

Answer:

25:15

Step-by-step explanation:

red:blue

4 0

3 years ago

Read 2 more answers

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro

nikklg [1K]

The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4

6 0

3 years ago

-10=-15+5x heeeeeeeeeeeeeeeeeeeeeeelp me

Allisa [31]

The answer is -10=-15+5x x = 1

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3 years ago