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2 years ago

Which is the most likely first step needed to solve this equation?

Mathematics

2 answers:

Vanyuwa [196]2 years ago

5 0

Answer:

C. Add 15 to both sides

Step-by-step explanation:

Given equation:

99x – 15 = 45

To solve:

<u>Step 1</u>: Add 15 to both sides:

⇒ 99x – 15 + 15 = 45 + 15

⇒ 99x = 60

<u>Step 2</u>: Divide both sides by 99:

⇒ 99x ÷ 99 = 60 ÷ 99

⇒ x = 60/99

⇒ x = 20/33

erastovalidia [21]2 years ago

4 0

Answer:

Choice C: Add 15 to both sides.

Step-by-step explanation:

Given:

99x – 15 = 45

Aim:

To Find the first step.

Solution:

99x – 15 = 45

The first step will be Add 15 to both sides:

99x-15+15 = 45+15
99x + 0 = 65
99x = 60

Choice C is accurate.

$\rule{225pt}2pt$

EXTRA:

Let's solve the equation further.

Then transpose 99 to the RHS:

x = 60/99
x = 20/33

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Write your answer in scientific notation (2.5•10^8)•(2•10^3)

ICE Princess25 [194]

Answer:

$5\times10^{11}$

Step-by-step explanation:

In order to get the answer to this question you will have to put the scientific notations into their number form then multiply, then change back into scientific notation form.

$(2.5\times10^8)\times(2\times10^3)$

Turn the notations into their number form:

$2.5\times10^8$

The exponent is positive so move the decimal point to the right:

$2.5\times10^8=250000000$

Do the same with the second notation:

$2\times10^3$

Since the exponent is positive move the decimal point to the right:

$2\times10^3=2000$

Now multiply:

$250000000 \times 2000 = 500000000000$

Now turn the number into scientific notation:

$500000000000 = 5.0\times10^{11}$

$=5\times10^{11}$

Hope this helps.

3 0

4 years ago

write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4).

jolli1 [7]

Answer:

2x +3y = -10

Step-by-step explanation:

The given line equation is in standard form, so the one we write will match that form. A parallel line will have the same x- and y-coefficients, but a different constant on the right.

Put the point values in the left-side expression to find the required right-side constant: (x, y) = (1, -4)

2(1) +3(-4) = constant = 2-12 = -10

Your line is ...

2x +3y = -10

7 0

3 years ago

HELP PLEASE I WILL MARK BRAINLIEST!

yarga [219]

Answer:

x = 35

y = 100

Step-by-step explanation:

∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:

∠AEB = ∠DEC

50° = x° + 15°

x = 35

∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°

∠AEB + ∠AED = 180°

50° + y + 30° = 180°

y + 80° = 180°

y = 100

7 0

3 years ago

25 POINTS I WILL GIVE BRAINLIEST Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The

Deffense [45]

Answer:

a) From the chart crated with Microsoft Excel, we have that the correlation coefficient, r = √0.8581 ≈ 0.93 to the nearest hundredth

The steps used includes

1) Inputting the given data into the cells on a Microsoft Excel spread sheet

2) Highlighting and sorting the data in the cells in order of increasing Rainfall

3) Generating a dot plot using the sorted data from above

4) Adding the trend line, Square of the linear regression, and the trend line equation

5) Adding the axis labels

(b) The correlation coefficient states that there is a strong positive correlation between the monthly rainfall and and Umbrella sales

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

100 students are interviewed to see which of biology, chemistry or physics they prefer. 52 of the students are girls. 29 of the

Ket [755]

Answer:

$45$ % of the students prefer biology.

Step-by-step explanation:

Let's read and write all the data from the question.

100 students are interviewed to see which of biology, chemistry and physics they prefer.

Therefore, we have three categories to classify the students :

A student that prefers biology

A student that prefers chemistry

And a student that prefers physics

52 of the students are girls. Therefore,

$100-52=48$ students are boys.

29 of the girls like biology best. In order to answer the question, we will only need the amount of boys that prefer biology and sum them to the amount of girls that like biology best.

24 of the boys prefer physics. Therefore,

$48-24=24$ is the sum of the boys that prefer chemistry and biology.

13 out of the 21 who prefer chemistry are girls. Therefore,

$21-13=8$ are boys that prefer chemistry.

If 24 is the sum of the boys that prefer chemistry and biology ⇒

$24-8=16$ are boys that prefer biology.

If we sum $29+16=45$ is the number of students that prefer biology.

If we want to calculate the percentage we need to divide the amount of students that prefer biology by the total of students interviewed and then multiply that number by 100 :

$(\frac{45}{100}).(100)=45$ %

45 % of the students prefer biology.

5 0

3 years ago