MATHEMATICS MIDDLE SCHOOL

Найдите корни уравнений 4 5/9-1/6х=5(1+0,1х)

Answers

Answer 1

Answer:

Answer:

Hence, the root of the equation is $(-2)/(3)$

Step-by-step explanation:

We are given a linear equation as:

$4(5)/(9)-(1)/(6)x=5(1+0.1x)$

This equation could also be written as:

$(41)/(9)-(1)/(6)x=5(1+0.1x)\n\n(41*2-x*3)/(18)=5(1+0.1x)$

Taking 18 as lcm on left hand side.

$82-3x=90(1+0.1x)$

$82-3x=90+9x\n\n9x+3x=82-90\n\n12x=-8\n\nx=(-2)/(3)$

Hence, the root of the equation is $(-2)/(3)$

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Which numbers in the set of numbers make the inequality 13x+2<4 true? {0, 2, 3, 6, 8, 12} Select each correct answer. 0 2 3 6 8 12

Answers

We can solve the inequality first:
13x+2<4
13x<2 (subtract 2 from both sides)
x<2/13 or 0.15

So the only answer that falls in that range is 0

Hope this helps

1/2r + 2(3/4r - 1) = 1/4r + 6

Answers

$(1)/(2)r+2((3)/(4)r-1)=(1)/(4)r+6\n\n(1)/(2)r+2*(3)/(4)r-2\cdot1=(1)/(4)r+6\n\n(1)/(2)r+(3)/(2)r-2=(1)/(4)r+6\n\n(1+3)/(2)r-2=(1)/(4)r+6\n\n(4)/(2)r-2=(1)/(4)r+6\n\n2r-2=(1)/(4)r+6\ \ \ \ \ \ |add\ 2\ to\ both\ sides\n\n2r=(1)/(4)r+8\ \ \ \ |subtract\ (1)/(4)r\ from\ both\ sides$

$1(3)/(4)r=8\n\n(1\cdot4+3)/(4)r=8\n\n(7)/(4)r=8\ \ \ \ \ |divide\ both\ sides\ by\ (7)/(4)\ (multiply\ both\ sides\ by\ (4)/(7))\n\nr=8\cdot(4)/(7)\n\nr=(8\cdot4)/(7)\n\nr=(32)/(7)\n\n\boxed{r=4(4)/(7)}$

A distance of 50 miles on a map is represented by a 2-inch line. If the map is enlarged to 4 times its size, what will be the scale of the enlarged map? Show your work.

Answers

Answer:

Step-by-step explanation:

50X2=100X4=400

2in = 50mi
X4
8in will represent 50mi

Kiara is stacking wood. Kiara stacks sixty-five pieces of wood. There are only seven more pieces of wood for kiara to put on the stacks. When kiara is done, she looks at the stacks of wood. How many pieces of wood does kiara see in her stack of wood? Show all your mathematical thinking.

Answers

The answer is 72

You would have to add sixty-five plus seven

the correct answer is 72
hope i helped you out in some type of way

Three boxes of cereal weigh 379.4 grams, 424.25 grams and 379.37 grams.What is the difference between the lightest and the heaviest box?(A) 44.15 grams

(B) 44.85 grams

(C) 44.88 grams

(D) 45.12 grams

Cambria chose (D) as the correct answers.How did she get that answer?

Answers

The difference between the lightest and the heaviest box is 44.88 grams. The correct option is C.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that represents a mathematical relationship or computation.

The difference between the lightest and heaviest box can be found by subtracting the weight of the lightest box from the weight of the heaviest box. So, we need to find the lightest and heaviest box among the given weights.

The lightest box weighs 379.37 grams, and the heaviest box weighs 424.25 grams. Therefore, the difference between the lightest and heaviest boxes is:

Difference = 424.25 grams - 379.37 grams

Difference = 44.88 grams

So, the answer is (C) 44.88 grams.

To know more about an expression follow

brainly.com/question/14472483

#SPJ2

You subtract the heaviest amount which is 424.25 grams in this case from the smallest, 379.37 grams.Your answer should be C.

A light rail service claims to be on time 98% of the time.Jeanette takes the light rail 40 times in one month how many times can she predict she will be on time is the light rails claim accurate if she is late 6 times

Answers

Answer:

Jeanette would be on time on 85% of her trips.

Step-by-step explanation:

If the light rail service claims to be on time 98% of the time, it should arrive on time at least 39 of 40 times, as 40 x 98 / 100 is equal to 39.2. In consequence, as Jeanette's service arrived late in 6 of over 40 times, we can affirm that what the light rail stated was incorrect. A delayed service in 6 of 40 times has a punctuality rate of 85%, since 6 is the 15% of 40 (40 x 15 / 100 = 40).

If the claim is accurate she should be on time

98% x 40 =
.98 x 40 = 39.2 times out of 40

If she is late 6 times, the claim is inaccurate.

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