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Alexxandr [17]
3 years ago
10

The sum of eleven less than a number and three more than four times that number is 37.

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0
10- x + 3 * 4 = 37


trust me :)
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Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students atten
Gekata [30.6K]

9514 1404 393

Answer:

  558

Step-by-step explanation:

Let p represent the student population at Edison Jr High. Then we know ...

  (4/9)p = 248 . . . . . 248 students is 4/9 of the student population

  p = 248(9/4) = 558 . . . multiply the equation by 9/4

558 students attend Edison Jr. High.

7 0
3 years ago
Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression
erastovalidia [21]

Answer:

45 + (30*6)

Step-by-step explanation:

3 0
2 years ago
Step by step plz <br> 2x^2 + x - 3
Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0
3 years ago
Determine whether a figure with the given vertices is a rectangle using the Distance Formula.
Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

A(4, -7), B(4, -2), C(0, -2), D(0, -7)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the length of the sides

<u><em>Find the distance AB</em></u>

substitute the values

d=\sqrt{(-2+7)^{2}+(4-4)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

AB=5\ units

<u><em>Find the distance BC</em></u>

substitute the values

d=\sqrt{(-2+2)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

BC=4\ units

<u><em>Find the distance CD</em></u>

substitute the values

d=\sqrt{(-7+2)^{2}+(0-0)^{2}}

d=\sqrt{(-5)^{2}+(0)^{2}}

CD=5\ units

<u><em>Find the distance AD</em></u>

substitute the values

d=\sqrt{(-7+7)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

AD=4\ units

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

<u><em>Find the distance AC</em></u>

substitute the values

d=\sqrt{(-2+7)^{2}+(0-4)^{2}}

d=\sqrt{(5)^{2}+(-4)^{2}}

AC=\sqrt{41}\ units

<u><em>Find the distance BD</em></u>

substitute the values

d=\sqrt{(-7+2)^{2}+(0-4)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

BD=\sqrt{41}\ units

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0
3 years ago
Read 2 more answers
ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8
Leto [7]

Answer:

\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in {10 \choose 8} ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is 2^8

And so the total number of ways in which we could choose 8 gloves from different colors is

{10 \choose 8 }2^8

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply {20 \choose 8}

So the probability of picking no mathing pair is

\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091

4 0
2 years ago
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