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3 years ago

An equation is shown below:

Mathematics

2 answers:

likoan [24]3 years ago

4 0

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

Kisachek [45]3 years ago

4 0

Answer:

Distribute -2 into (4x-1) to get rid of the parenthesis.

Step-by-step explanation:

The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.

$-2(4x-1)-7=5\\\\-8x-2-7=5$

Of course, you would also combine like terms to completely simplify the equation to solve for x.

$-8x-9=5$

Hope this helps.

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Evaluate the numerical expression. − 1 3 − (− 4 9 )

notka56 [123]

Two negatives make a positive so, -13 - (-49) equals -13 + 49, or 49-13, they are all the same thing, all equal to 36.

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3 years ago

How many pennies are in one-dollar??

OleMash [197]

Answer:

There are 100 pennies in one dollar.

Step-by-step explanation:

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3 years ago

The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The rati

Ahat [919]

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

7 0

3 years ago

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.Find the probability that he did not hit a bounda

Margarita [4]

Answer:

The probability of NOT hitting a boundary is (4/5).

Step-by-step explanation:

Let E: Be the event of hitting a boundary

now, Probability of any event E = $\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}$

Here, number of favorable outcomes = 6

So, P(E) = $\frac{6}{30} = \frac{1}{5}$

⇒Probability of hitting a six is 1/5

Now, P(E) + P(not E) = 1

So, P(not hitting a boundary ) = 1 - P(hitting a boundary)

= 1 - (1/5) = 4/5

Hence, the probability of NOT hitting a boundary is (4/5).

4 0

3 years ago

A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.

PtichkaEL [24]

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

5 0

2 years ago