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NARA [144]
3 years ago
14

-4-{11-[4-(9)]} Solve

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

51


Step-by-step explanation:


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Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

46 > 20 --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

4 0
2 years ago
Write an inequality that represents the following scenario: a number divided by 10 increased by 8 is greater than 15.
Sonbull [250]
\frac{x}{10} + 8 > 15
4 0
3 years ago
Mrs. Fields has a bag of marbles. One-fourth of the marbles are red. How many marbles can there be in the bag?
makvit [3.9K]

Answer:

she can have 4 marbles in the bag.

Step-by-step explanation:

Because if one out of four is read then there is four marbles.

4 0
3 years ago
Jen invested $3500 into a continuously compounded account with an interest rate of 3.1%. After 9 years, how much money is in the
GarryVolchara [31]

Answer:

≈$4607

Step-by-step explanation:

I will assume it's compounded yearly.

Apply the compound interest formula.

A=P(1+\frac{r}{n})^{nt}

A = Total

P = Initial Principle

r = Interest Rate

n = number of interest in every t period

t = number of periods

In the case,

P = 3500

r = 3.1% = 0.031

n = 1

t = 9

Hence,

A=3500(1+\frac{0.031}{1})^{1*9}

A = 4606.764717......

A ≈ 4607 (nearest whole number)

7 0
2 years ago
An integer is 8 more than 5 times another. If the product of the two integers is 36, then find the integers
Harman [31]

Answer:

see below

Step-by-step explanation:

1st:  x

2nd:  5x + 8

x(5x + 8) = 36

5x² + 8x = 36

5x² + 8x - 36 = 0

(x - 2)(5x + 18) = 0

(x - 2) = 0

x - 2 = 0

x = 2

1st:  x = 2

2nd:  5x + 8 = 5(2) + 8 = 18

(5x + 18) = 0

5x + 18 = 0

5x = -18

x = -3.6

1st:  x = -3.6

2nd:  5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10

7 0
3 years ago
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