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Ymorist [56]
3 years ago
10

Martha combined different amounts of oramge juice, pineapple juice, and strawberry juice to make 1 850ml of fruit punch. The amo

unt of orange juice was x ml.The amount of pineapple juice was 100 ml more tjan the amount of orange juice annd the amount of strawberry juice was half the amount of orange juice. This is represented in the equation : x+(×+100)+1/2×=1850. What was the difference in the amounts of pineapple juice and strawberry juice martin combined?
Mathematics
1 answer:
allsm [11]3 years ago
8 0
We have the following variable:
 x = The amount of orange juice
 We have the following equation:
 x + (× + 100) + 1/2 × = 1850
 We clear x:
 (5/2) x + 100 = 1850
 (5/2) x = 1850 - 100
 (5/2) x = 1750
 x = 1750 / ((5/2))
 x = 700 ml
 pineapple juice = × + 100 = 700 + 100 = 800 mL
 strawberry juice = 1/2 × = (1/2) 700 = 350 mL
 The difference is:
 800 - 350 = 450 mL
 Answer:
 
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
 
450 mL
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Answer:

P(x,y) = (0,\frac{11}{5})

Step-by-step explanation:

Given

A = (-2,1)

B = (3,4)

m:n = 2:3

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Where

(x_1,y_1) = (-2,1)

(x_2,y_2) = (3,4)

m:n = 2:3

This gives:

P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})

P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})

P(x,y) = (\frac{0}{5},\frac{11}{5})

P(x,y) = (0,\frac{11}{5})

5 0
3 years ago
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jonny [76]

Answer:

The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.

Step-by-step explanation:

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Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

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f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

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5 0
3 years ago
What is the probability of rolling a four then a three
spayn [35]

Answer:

\frac{1}{36}

Step-by-step explanation:

Total possibilities when we a roll a die at a time are 6

given we should have four for first time and then three

let us assume we rolled the dice we may get 1,2,3,4,5,6(any of these) the probability to get 4 is

PROBABILITY=\frac{\textrm{FAVOURABLE CHANCES}}{\textrm{TOTAL CHANCES}}

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Total chances=6

Probability=\frac{1}{6}

the prabability to get 4 in first roll is \frac{1}{6}.

let us assume we rolled the dice for second time again we may get 1,2,3,4,5,6(any of these) the probability to get 3 is

Favourable chances=1

total chances=6

probability=\frac{1}{6}

the probability to get 3 in second roll irrespective of first one is \frac{1}{6}

the probability to get 4 in first time and then 3 is

The probability to occur both events at a time is multiplication of individual probabilities

So,

probablility to get 4 in first roll=\frac{1}{6}

probability to get 3 in second roll=\frac{1}{6}

probability to occur both at a same time is =\frac{1}{6} \times\frac{1}{6}=\frac{1}{36}

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3 years ago
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