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Yuki888 [10]
3 years ago
9

(6a −? )5a =? a2 − 35a

Mathematics
2 answers:
Karolina [17]3 years ago
7 0
Answer:
5a(6a-7) = 30a² - 35a

Explanation:
Before we begin, remember the following:
a(b+c) = ab + bc

Now for the given:
Assume that the first question mark is x and that the second question mark is y.

The expression now becomes:
(6a-x) * 5a = ya² - 35a
Distribute the 5a over the bracket and equate it with the right-hand side as follows:
5a(6a) - 5a(x) = ya² - 35a
30a² - 5ax = ya² - 35a

By comparison:
30a² = ya² ..............> This means that y = 30
-5ax = -35a
-5x = -35
5x = 35
x = 35/5
x = 7

Based on the above, the expression is:
5a * (6a-7) = 30a² - 35a

Hope this helps :)
timofeeve [1]3 years ago
5 0
(6a - 7)5a = 30a^2 - 35a
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Please help! (Only answer if correct)
monitta

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

Learn more on system of equations here here: brainly.com/question/13729904

7 0
3 years ago
Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le
makkiz [27]

Answer: D = 134

Step-by-step explanation:

The parameters given are  

Mean = 68cm

Median = 84cm

Assuming the length of the ropes starting from the shortest to the longest are  a, b , c , 84, e, f, g

since the length of the shortest rope = a, the length of the longest rope from the question will be = 14 + 4a . therefore g now becomes 14 + 4a

Mean = (total sum of the rope length / number of ropes)

Therefore the total sum of the rope length = mean x number of ropes

= 84 x 7 = 476.

since we are to find the maximum possible length of the longest piece of rope, it is safe to assume that the ropes b and c are of the same length as the first rope since they would still be less than the length of the median rope which is 84cm in length. It is also safe to assume that ropes e and f are of the same length as the median rope since they would still be less than the length of the longest rope and we would still be having 84cm as the value of the median rope length.

With the assumptions above, the seven ropes would now have the lengths of  the ropes as a, a, a, 84, 84, 84,(14 +4a)

 summing up the values above we get 476cm which is the total length as calculated above

a + a + a +84 + 84 + 84 + 14 + 4a = 476

7a + 266 = 476

7a = 476 - 266

7a = 224

a = 30

since a = 30, we can substitute it into the equation of the longest rope (4a +14)

longest rope = (4x 30) + 14 = 134cm

8 0
3 years ago
tasha has 24 new pieces of art. 1/6 are photo's and 2/3 are paintings. how many more paintings are there than photos?
ella [17]
0.5 x 24 = 12
The answer is 12
3 0
3 years ago
basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. find the probability that he m
bogdanovich [222]

we are given

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time

so, probability of making shot is

=88%

so, p=0.88

To find the probability of missing first shot and making the second shot

so, we can use formula

probability = p(1-p)

now, we can plug values

we get

probability=0.88(1-0.88)

So, the probability that he misses his first shot and makes the second is 0.1056........Answer

5 0
3 years ago
Solve for each variable....pls answer
dolphi86 [110]

u + 2 =  - 8 \\  =  > u =  - 8 - 2 \\  =  > u =  - 10

<h3>The answer is -10.</h3>

5 0
3 years ago
Read 2 more answers
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