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frez [133]
1 year ago
13

For melions birthday she wanted to make fruit punch that had 2 1/2 gallons of orange juice, 4 quarts of cranberry juice, and 3 q

uarts of apple juice. how much did she make in all?
Mathematics
1 answer:
goldenfox [79]1 year ago
4 0

Answer:

4.25 gallons of juice

Step-by-step explanation:

4 quarts = 1 gallon

3 quarts = 3/4 gallon

2 1/2 + 1 + 3/4 = 3 2/4 + 3/4 = 3 5/4 = 4 1/4

4 1/4 = 4.25

give brainliest please

hope this helps :)

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(r3 +6r2 −21r−18)÷(r−3) solve using synthetic division
alexandr402 [8]

Answer:

y = x^2 + 9x + 6    No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1    +     6    -    21    -   18 ||

                 3         27     + 18

================================

      1          9         6          0


The answser is x^2 + 9x + 6

5 0
3 years ago
As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple
zhenek [66]

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0
3 years ago
Given z1 = 1+i and z2 = 2+3i.
Margaret [11]

Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

4 0
3 years ago
Through point (0, 10) and PERPENDICULAR to the line through (-2, -9) and (-4, -17)?
inn [45]

Compute the slope of the line through (-2, -9) and (-4, -17):

\dfrac{-9-(-17)}{-2-(-4)}=\dfrac82=4

Any line perpendicular to this line will have slope -1/4. The one that passes through (0, 10) satisifes

y-10=-\dfrac14(x-0)\implies\boxed{y=10-\dfrac x4}

3 0
3 years ago
Zapisz w postaci jednej potęgi (zapisz obliczenia):
crimeas [40]

Answer:

1. 62,3

2. 0,000129230769

3. 53424

4. 257027760

5. 382,081081

6. ?

7. 261,6

8. ?

9. 45,15

5 0
3 years ago
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