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Olin [163]
3 years ago
13

Decrease 140g by 12.5%

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

122.5g

Step-by-step explanation:

You would multiply 140 by 12.5% to get 17.5, and then you subtract 140-17.5 to get your answer of 122.5g.

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The base of a triangle is seven less than twice its height. If the area of the triangle is 100cm^2 find the length of the base
Alexeev081 [22]
2x-7 * x
----------- =. 100^2= 10000 
     2


2x^2-7/2= x^2-7/2

x^2-7/2=10000

x^2 = 20007/7
7 0
4 years ago
Read 2 more answers
3×0.7= <br> And could you please do the model
otez555 [7]

Answer: 2.1, I don't really know how to show a model for this, its just that when you multiply 3 and 7 you get 21, when you do 0.7 and 3, you just put the decimal place between the 2 and 1.

7 0
3 years ago
Please help me ive gotten 2 wrong pelase help me please
Tju [1.3M]
The blue one with four corners!!!
3 0
3 years ago
Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x.
Mice21 [21]

Answer:

smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

 largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = c

dy +e = f

Then the values of x and y are ...

 x = (c +b)/a

 y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

Smallest sum

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4   ⇒   x = 7/8

1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

Largest sum

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8  ⇒   x = 17

2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
inn [45]
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
7 0
3 years ago
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