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kozerog [31]
3 years ago
10

Describe the solutions of the system using an ordered triple in terms of x. 4x-4y-z=14, -4x+4y+3z=-10, 3x-3y+7z=26.

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0
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Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of
Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

h+10\%\text{ of }h=165

h+(\frac{10}{100}*h)=165

h+0.10*h=165

1.10*h=165

Let us divide both sides of our equation by 1.10.

\frac{1.10*h}{1.10}=\frac{165}{1.10}

h=150

Therefore, Cody was 150 cm tall on the first day of school last year.

5 0
4 years ago
Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, sh
andriy [413]

Answer:

Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.

Step-by-step explanation:

7 0
3 years ago
Taylor is 2/3 as old as her cousin. the sum of their ages is 45. how old are taylor and her cousin
kiruha [24]
Her cousin is 27 and Taylor is 18 years old
7 0
3 years ago
2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of
AleksAgata [21]

Answer:

y = \frac{5000r}{3} -50

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

(r_1,y_1) = (90\%,1450)

(r_2,y_2) = (69.6\%,1110)

Required

Determine the equation in slope intercept form

First, we calculate the slope

m =\frac{y_2 - y_1}{r_2 - r_1}

This gives:

m =\frac{1110 - 1450}{69.6\% - 90\%}

m =\frac{-340}{-20.4\%}

Convert percentage to decimal

m =\frac{-340}{-0.204}

m =\frac{340}{0.204}

Multiply by 1000/1000

m =\frac{340*1000}{0.204*1000}

m =\frac{340000}{204}

m = \frac{5000}{3}

The equation is then calculated as:

y - y_1 = m(r - r_1)

This gives:

y - 1450 = \frac{5000}{3}(r - 90\%)

Open Bracket

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%

Convert percentage to decimal

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90

y - 1450 = \frac{5000r}{3} - 5000*0.30

y - 1450 = \frac{5000r}{3} - 1500

Make y the subject

y = \frac{5000r}{3} - 1500+1450

y = \frac{5000r}{3} -50

3 0
3 years ago
Find the mean number of the points per game scored for the games shown in this graph. Round your answer 2 decimal places.
balu736 [363]

Answer:

9.07

Step-by-step explanation:

3+5+7(2)+9(3)+11(6)+12=3+5+14+27+66+12=127

127 divided by 14 is about 9.07

3 0
3 years ago
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