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2 years ago

Help solve 34 = 28 - 2/5X

Mathematics

1 answer:

NARA [144]2 years ago

3 0

34 = 28 - 2/5X

Move +28 to the other side. Sign changes from +28 to -28

34-28=28-28-2/5x

34-28=-2/5x

6=-2/5x

Multiply both sides by -5/2

6(-5/2)=-2/5(-5/2)x

Cross out 6 and 2, divide by 2 and becomes :

3*-5=-15=X

Answer: X=-15

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John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to

vagabundo [1.1K]

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.

5 0

2 years ago

Find the distance between the points (-5, 0) and (-4, 1).

choli [55]

The formula of a distance between two points A and B is :

$AB=\sqrt{(x_{B}- x_{A})^2 +( y_{B}- y_{A})^2 }$

You should this formula by heart.

Then, you just have to apply it ! :D

Here :

$x_{A}=-5$
$y_{A} =0$

$x_{B} =-4$
$y_{B}= 1$

Therefore :

$\sqrt{(-4-(-5))^2+(1-0)^2}$
$= \sqrt{1^2+1^2}$
$= \sqrt{1+1}$
$= \sqrt{2}$

In short, the answer would be the first option : $\sqrt{2}$ .

Hope this helps !

Photon

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2 years ago

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Annie read 80 pages in 2 h. Express this rate as a unit rate in lowest terms.

Aleksandr [31]

It’s the second one(40 pages/ 1 hour)

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2 years ago

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What’s the slope of this line?

Oksanka [162]

Answer:

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Step-by-step explanation:

The formula for slope is: $\frac{y_1-y_2}{x_1-x_2}$ where $(x_1,y_1)$ and $(x_2,y_2)$ are points

Plug in (-5,3) and (-3,1) into the equation, and you get:

$\frac{-5-(-3)}{3-1} =\\\frac{-2}{2} =\\-1$

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2 years ago

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It's a staple of American school lunches: peanut butter sandwiches (usually with jelly, too). The average American child will ea

HACTEHA [7]

Answer:

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation is approximately 141,667 peanuts

Step-by-step explanation:

The number of peanut butter sandwiches that an average American child will eat by the time she graduates from high school = 1500 peanut butter sandwiches

The number of sandwich taken every four days = 1 sandwich

The number of peanuts required to make 18-oz jar of peanut butter = 850 peanuts

The amount of peanut butter in an average sandwich = Two ounces

Therefore, we have by the time of graduation;

Each American child will have taken 1500 sandwiches

The 1500 sandwiches will have = 1500 × 2 ounce = 3,000 ounces of peanut butter

The number of 18-oz jars of peanut butter that will contain up to 3000-oz of peanut butter = 3000-oz/(18-oz) = 166.67 Jars

The number of peanuts required to make the 166.67 Jars of peanut butter = 850 peanuts/jar × 166.67 Jars = 141666.67 ≈ 141,667 peanuts

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation ≈ 141,667 peanuts.

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2 years ago