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Setler79 [48]
3 years ago
9

This week, Jackson drank 10 fruit smoothies,

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

5

Step-by-step explanation:

Let x = number of smoothies Jackson drank last week.

200\% x = 10

x=10\div 200\%

=10\div 2

=5

∴ Jackson drank 5 smoothies last week, 10 is 200% of 5.

Hope this helps :)

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1/5 divided 3=1/15 because
Keith_Richards [23]
A number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.

Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)

Example:
5/6 / 1/6
= 5/6*6/1
=30/6
=5

We can apply the same to the question 1/5 / 3.

1/5 / 3
=1/5*1/3
=1/15

I hope this helps! Please comment if you have any questions.
3 0
3 years ago
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit
MAXImum [283]

Given:

The vertices of a right triangle are:

(-3,4),(3,4),(3,-4)

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are A(-3,4),B(3,4),C(3,-4).

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(3-(-3))^2+(4-4)^2}

AB=\sqrt{(3+3)^2+(0)^2}

AB=\sqrt{(6)^2+0}

AB=\sqrt{36}

AB=6

Similarly,

BC=\sqrt{(3-3)^2+(-4-4)^2}

BC=\sqrt{(0)^2+(-8)^2}

BC=\sqrt{64}

BC=8

And,

AC=\sqrt{(3-(-3))^2+(-4-4)^2}

AC=\sqrt{(6)^2+(-8)^2}

AC=\sqrt{36+64}

AC=\sqrt{100}

AC=10

Now, taking sum of squares of two smaller sides, we get

AB^2+BC^2=6^2+8^2

AB^2+BC^2=36+64

AB^2+BC^2=100

AB^2+BC^2=AC^2

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0
3 years ago
Factor x^3 – 3x^2 – 4x + 12 completely using long division if (x – 2) is a factor.
GaryK [48]

Answer: B. (x-2) (x+2) (x+3)

   

8 0
4 years ago
Is there more than one pair that could be congruent?
Alexeev081 [22]

Answer:

C and X , B and L , A and W , D and G are congruent

6 0
3 years ago
What is the smallest whole number that is a multiple of 5, 9, and 12?
Marianna [84]

Answer:180

Step-by-step explanation:

you start by finding the prime factorization of the number

5=1*5

9=3*3

12=2*2*3

the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together

4*9*5=180 and that's the answer

7 0
3 years ago
Read 2 more answers
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