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3 years ago

7

Alonzo and Miguel scored a total of 54 points in a basketball game. Miguel scored 4 more points than Alonzo. How would I graph t

his as a system of equations??

1 answer:

Liono4ka [1.6K]3 years ago

4 0

A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,

Combine the equations: 2m = 58

Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24

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A small class has 10 students, 3 are girls and 7 are boys. The teacher is going to choose two students at random. What is the pr

Andreas93 [3]

Answer: The boy would be chosen

Step-by-step explanation:

the fraction for the probability for girls is 3/10

the fraction for the probability for boys is 7/10

8 0

2 years ago

In Angle FGH, the measures of angles F, G, and

matrenka [14]

Answer:

40 40 100°

Step-by-step explanation:

Is that TRIANGLE FGH?

the angles add to 180

180 / ( 4 + 4 + 10 ) = 10

then each angle is 4 x10 4 x 10 and 10 x10

6 0

2 years ago

What is the solution to this equation?

Tanzania [10]

Answer:

Option (D)

Step-by-step explanation:

Given equation is,

$8e^{2x+1}=4$

Taking natural log on both the sides of the equation,

$\text{ln}(8e^{2x+1})=\text{ln}(4)$

$\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)$

3ln(2) + (2x + 1)[ln(e)] = 2ln(2)

2n(2) - 3ln(2) = (2x + 1)

2x = -ln(2) - 1

$2x=\text{ln}(\frac{1}{2})-1$ [Since, -ln(2) = ln(1) - ln(2) = $\text{ln}(\frac{1}{2})$ ]

$2x=\text{ln(0.5)}-1$

$x=\frac{\text{ln(0.5)-1}}{2}$

Therefore, Option (D) will be the correct option.

3 0

3 years ago

G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles

kiruha [24]

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

7 0

2 years ago

Tony and Cleo are donating some of their books to a hospital. If Tony contributes half of his books and Cleo gives one third of

liraira [26]

Short Answer: Tony 40 Cleo 30
Givens
T = Tony
C = Cleo

Equations
1/2 T + 1/3 C = 30 (1)
2/5 T + 1/2 C = 31 (2)

Adjustments
Multiply (1) by 3
Multiply (2) by 2

New Equations
3/2 T + C = 90 (1a)
<u>4/5 T + C = 62</u> (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28 the common multiple of 2 and 5 = 10.
(15/10 - 8/10)T = 28
7/10 T = 28 Multiply by 10
7T = 28*10
7T = 280 Divide by 7
T = 280/7 = 40

Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30 Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10 Multiply through by 3
C = 10 * 3
C = 30

Answer:
Cleo has 30 books.
Tony has 40 books.

Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.

4 0

3 years ago