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storchak [24]
2 years ago
11

jack has x pence, jill has 6 pence less then jack, write down in terms of x, the number of pence that jill has

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
4 0

Answer:

x-6

Step-by-step explanation:

6 pencils less than x in terms of x it would be x-6

hope it helps

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In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
mrs_skeptik [129]

Answer:

50 Teachers

Step-by-step explanation:

To solve this problem, we first need to find the number of teachers <em>before </em>the new teachers were added. To do so, I created Model 1. On the bottom of the ratios, we have students. On the top, is teachers. The X is the number of teachers we are trying to find. Following the model, I multiplied 2,100 x 1 (2,100) and divided it by 14 to get 150 teachers. Then, I set up a similar model with the new student-teacher ratio (Model 2). From there, I multiplied 2,100 x 2 (4,200) and divided it by 21 to get 200 teachers. Now I have the original number of teachers and the new number of teachers. Subtract the new by the original to find the teachers added and you get the answer of 50 teachers added.

6 0
2 years ago
1. Which situation does NOT represent a functional relationship?
Alex

Answer:

  • 1. D
  • 2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

  • y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

  • y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

  • y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>
  • A = 62x -100
  • B = 2x - 3
<h3>To find </h3>
  • A/B
<h3>Solution</h3>
  • A/B =
  • (62x - 100)/(2x - 3) =
  • (31*2x - 31*3 - 7)/(2x - 3) =
  • (31(2x - 3) -7)/(2x - 3) =
  • 31 - 7/(2x - 3)

Correct option is C.

7 0
2 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

6 0
2 years ago
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number
brilliants [131]

Answer:

part A; B and Part B;  pencils

Step-by-step explanation:

you want to find out how many pens and pencils you cn buy with that 90$ so you want to do

.75y+.15x=90

pens=50

pencils=50

but you want to add .75+.15 which = .90

then you divide 90/.90

and that equals 100

then split it up and each gets 50

4 0
2 years ago
Read 2 more answers
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of
lisov135 [29]

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

7 0
2 years ago
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