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Savatey [412]
4 years ago
8

Which graph shows the solution

Mathematics
1 answer:
kodGreya [7K]4 years ago
6 0
The given inequality is:

-5c + 2 ≤ 27

Subtracting 2 from both sides, we get:

-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25

Dividing by 5 on both sides we get: 

- x ≤ 5

Multiplying by -1 we get:

x ≥ 5

Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.

From the given options, the second graph correctly represents this solution.
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In New York State, the minimum wage has grownexponentially. In 1966, the minimum wage was$1.25 an hour and in 2015, it was $8.75
Alona [7]

The Solution.

In 1966, which is the initial year(t); t = 0, and minimum wage(y), y = $1.25

Similarly.

In 2015, t = 49 years , (that is, 1966 to 2015), and y = $8.75

The rate of growth to the nearest percent is

\text{Rate of growth =}\frac{y_2-y_1}{t_2-t_1}\times100\begin{gathered} \text{Where y}_2=8.75,t_2=49\text{ years} \\ y_1=\text{ \$1.25},t_1=0 \end{gathered}

Substituting into the formula above, we get

\text{Rate of growth =}\frac{8.75-1.25}{49-0}\times100\text{Rate of growth = }\frac{7.5}{49}\times100=15.31\approx15\text{ \%}

Hence, the correct answer is 15%

8 0
1 year ago
What is the probability of landing on green on the spinner?
Allisa [31]

Answer:

2/5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In this triangle, what is the value of x?
pochemuha
To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614

Final Answer: x is around 75 yards</span>
8 0
4 years ago
Read 2 more answers
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
Katen [24]

Answer:

  1. Elanor's standardized score is  1.19
  2. Gerald's standardized score is 0.72
  3. Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=\frac{X-M}{s} where

  • X is the student's score
  • M is the mean score of the exam
  • s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = \frac{680-554}{106} ≈ 1.19

Gerald's standardized score is:

z(g)= \frac{27-24.7}{3.2} ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0
3 years ago
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
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