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allsm [11]
3 years ago
9

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete

5 paintings?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0
1. you have to figure out what 3/4 of Ella's time is.
1 \frac{3}{5}  =  \frac{8}{5}
(You find that out by multiplying 5x1. Then add 3.)
2. Convert the fractions into decimals. (This will help make it easier when dividing.)
\frac{8}{5}  = 8 \div 5 = 1.6
\frac{3}{4}  = 3 \div 4 = .75
3. Next you are going to divide 1.6 by .75
1.6 \div .75 = 2.13
4. Now multiple 2.13 by 5.
2.13 \times 5 = 10.65
Answer is 10

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Use the graph to find the slope. What is the runners speed?
Murrr4er [49]

The formula for the slope is m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{20-10}{2-1}

m=\frac{10}{1}

m=10

Hope this helps.

頑張って!

3 0
3 years ago
Enter the ratio as a fraction in lowest terms <br><br> 5ft to 58 in.
MrMuchimi

Answer:

30/29

Step-by-step explanation:

5 feet is 5*12 = 60 inches

Fraction is (60 in)/(58 in)

(60 in)/(58 in) = 30/29

8 0
2 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
What is the solution to the system of equations graphed below?<br><br> y=x+3<br> y=3x+1
Mademuasel [1]

Answer:

(1, 4)

Step-by-step explanation:

y=x+3

y=3x+1

y=x+3

x+3=3x+1

x=3x-2

-2x=-2

x=1

y=1+3

y=4

8 0
3 years ago
PLEASE HELP ME! NO LINKSSSSSS!!!
Andrews [41]

In 4 days your family drive 5/7 of a trip. Your rate of travel is the same throughout the trip. The total trip is 1250 miles. How many more days until you reach your destination?

Find the amount traveled in one day by dividing

(5/7)/4 = 5/28 of the trip

How many days would it take to add up to 1

1/(5/28) = 5.6 days total

since we already traveled for 4 days, we have 1.6 more days to go

7 0
3 years ago
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