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grandymaker [24]
3 years ago
14

What is the simplified form of the expression(x + 6)(7x − 1)?

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:c

Step-by-step explanation:

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When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods
Oxana [17]

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>

<u>Then we have:</u>

  • 3r - 2b = 2
  • 3b - 4r = 2

<u>Multiply the first equation by 3 and the second one by 2:</u>

  • 9r - 6b = 6
  • 6b - 8r = 4

<u>Add the equations to eliminate one of variables:</u>

  • 9r - 8r = 6 + 4
  • r = 10 cm

<u>Find the value of b:</u>

  • 3*10 -2b = 2
  • 30 - 2 = 2b
  • 2b = 28
  • b = 14 cm

5 0
3 years ago
A student is applying to Harvard and Dartmouth. If the student is accepted at Dartmouth, the probability of being accepted at Ha
adell [148]
I made a probability tree. Pls. see attachment. 

Based on the probability tree I made, below are the probabilities

Probability of a student accepted at both Dartmouth and Harvard is:
50% x 40% = 20%

Probability of a student accepted at Dartmouth but not Harvard is:
50% x 60% = 30%

Probability of a student not accepted at Dartmouth but accepted in Harvard is:
50% x 20% = 10%

Probability of a student not accepted in both schools is:
50% x 80% = 40%

As you can see, these probabilities total 100%

6 0
3 years ago
9. On Johnny math test, he was asked to re-write the expression –3(x + 10) by using the distributive
kirill [66]

Answer:

No, he is incorrect because he forgot to multiple the negative by the x, and only multiplied 3 by x instead of -3 by x.

Step-by-step explanation:

The correct re-write of this expression is:

-3x - 30

5 0
3 years ago
(-9,5); m=4 right and equation in point slope form of the line that passes through the given point and with the given slope M
NikAS [45]

Answer:

Slope form of line  y = 4x +41

Step-by-step explanation:

m= 4

The y-intercept of the line that passes through the given point  (-9,5) is

5 = 4(-9) + b

b= 5 +36

b=41

The equation of the line that passes through the given point  (-9,5) is

y =mx +b

 y = 4x +41

6 0
2 years ago
Bill draws a regular octagon with the perimeter of 32 units.He picks a vertex of the octagon and draws two line segments through
Vanyuwa [196]

The quadrilaterals are two congruent isosceles trap ezoids and a kite.

3 0
3 years ago
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