Select the correct answer.
What is the justification for step 1 in the solution process?

8x + 15 = 11x + 2
Step 1: 8x = 11x − 13
A.
the addition property of equality
B.
the subtraction property of equality
C.
the multiplication property of equality
D.
the division property of equality

Answer:

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Step-by-step explanation:

Answer:

Hcf of this will 4y I m sure because 4y divide that totally and it is greatest

Answer:

it is b

Step-by-step explanation:

Answer:

d) [tex]105.7\ \text{gallons}[/tex]

Step-by-step explanation:

[tex]150\ \text{miles}[/tex] requires [tex]45.3\ \text{gallons of fuel}[/tex]

[tex]1\ \text{mile}[/tex] requires [tex]\dfrac{45.3}{150}\ \text{gallons of fuel}[/tex]

[tex]200\ \text{miles}[/tex] requires [tex]200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}[/tex]

So, total amount of gasoline required for the trip is [tex]60.4+45.3=105.7\ \text{gallons}[/tex].

Answer:

The answer to the first question is 7.15

The answer to the second question is 1.73

Answer:

7.15; 1.73

Step-by-step explanation:

6.2 is the same as 6.20, so:

  6.20

+ 0.95

= 7.15

0.8 is the same as 0.80, so:

 2.53

- 0.80

= 1.73

Answer:

2) A.[tex]\frac{14+x}{5}[/tex]

3) B. [tex]4(\frac{11}{x} )[/tex]

Step-by-step explanation:

Step-by-step explanation:

49

only the positive 49

hope this helps bro!!

Answer: are you ignoring me

Step-by-step explanation:

Answer:

9e+97

Step-by-step explanation:

Answer:

C. A straight line that goes through the origin.

Step-by-step explanation:

A graph representing a proportional relationship between variable x and variable y will have a straight line. This straight line must also cut across or pass through the point of origin (0, 0).

Therefore, the answer is: "A straight line that goes through the origin."

Answer:

Srry I can't help

Step-by-step explanation:

i cant reallly see so yh

Step-by-step explanation:

Answer: The height of the tree is 21 feet.

Step-by-step explanation:

Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.

Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.

Then we will have a relationship like:

Tg(angle) = shadow/height

height = shadow/Tg(angle)

Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K

Tg(angle) = K

Then we have the equation:

Height = Shadow/K

We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:

6ft = 2ft/K

K = 2ft/6ft = (1/3)

Now we know that the shadow of the tree is 7ft long, then the height will be:

height = 7ft/(1/3) = 7ft*3 = 21ft

The tree is 21 ft tall.

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]

At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.

p = 0.35

Then the probability is given as,

P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³

P = 0.3845

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

More about the binomial distribution link is given below.

https://brainly.com/question/14565246

#SPJ2

Answer

3/10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i got C & D to both be -27 but I think I made a mistake in C w the negatives so I believe it is C.

I hope this helps, have a great day/ night :)

Answer:

D

Step-by-step explanation:

1 and 5 are almost completely across from each other.

Answer:

[tex]35[/tex]

Step-by-step explanation:

The constraints are

The red line represents the function

[tex]y\leq \dfrac{1}{3}x+1[/tex]

At [tex]y=0[/tex]

[tex]0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3[/tex]

At [tex]x=0[/tex]

[tex]y=0+1\\\Rightarrow y=1[/tex]

Two points are [tex](-3,0),(0,1)[/tex]

The blue line represents the function

[tex]5\geq y+x[/tex]

at [tex]y=0[/tex]

[tex]5=x[/tex]

at [tex]x=0[/tex]

[tex]y=5[/tex]

Two points are [tex](5,0),(0,5)[/tex]

The other two constraints are [tex]x\geq 0[/tex], [tex]y\geq 0[/tex]. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

[tex](3,2)[/tex]

[tex]7x-2y=7\times 3-2\times 2=17[/tex]

[tex](5,0)[/tex]

[tex]7x-2y=7\times 5-2\times 0=35[/tex]

So, the maximum value of the function is [tex]35[/tex].

Answer:

yes

Step-by-step explanation:

x=3-y

2(3-y)+7y=16

6-2y+7y=16

5y=10

y=2

x=3-2=1

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

Answer:

The expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Step-by-step explanation:

Like term:

We know that like terms are those terms with:

For example,

2x and 4x are the like terms. Both have the same variables and the same power of the variable.

Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.

Please note that the like terms may have different coefficients of the variables.

NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS

Given the expression

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]

Here in the parentheses:

as

Combining like terms in the parentheses

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Therefore, the expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Answer:

12.5 ft

Step-by-step explanation:

To solve this, we would be applying Pythagoras theorem to it.

Assuming that our given angle is the hypotenuse. Since it says it's closer to the elevated angle. Then, we're looking for a side, A, which is on the opposite side of the angle in the question.

Using sine rule, we know that

Sin 30 = x/25

x = 25 sin 30

x = 25 * 0.5

x = 12.5 ft

Therefore the answer is 12.5 ft

Answer:

Improper fraction: 23/4

Mixed number: 5 3/4

Answer:

5 3/4

Step-by-step explanation:

how many times does 4 go into 23? well 4×5=20, which seems like too little, so we'll try 4×6=24,

but that's too much so were sticking with the 5. So 5 is the first number

then since 4 times 5 is 20. but you have 23, there are 3 extra numbers

So you make them into a fraction: 3/4

So the answer is 5 3/4

also 23/4 is the improper fraction, 5 3/4 is the mixed number

Answer:

Time Efficient; no need to search for mate, requires less energy

Step-by-step explanation:

Hope This Helped if it did can i plz have brainliest

Answer:

I think it b

Step-by-step explanation:Because D it requires significant energy on the part of the organism to find a mate.C no they do not become extinct.A it takes a long time.

Answer:

552.98

Step-by-step explanation:

using a calculator

Answer:

It equals 552.98

Step-by-step explanation:

Answer:

80,000,000

Step-by-step explanation:

Answer:

1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.

2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!

Step-by-step explanation:

Answer:

We conclude that the function remains constant over the interval [0, 2].

Step-by-step explanation:

We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.

From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.

In other words, the value of y remains constant from x = 0 to x = 2.

i.e.

at x = 0, y = 5

at x = 1, y = 5

at x = 2, y = 5

Therefore, we conclude that the function remains constant over the interval [0, 2].

Answer:

Monday

Step-by-step explanation:

Given

[tex]Wendy = 3[/tex]

[tex]Xue = 4[/tex]

[tex]Today = Wednesday[/tex]

Required

Determine when next they will jog together

First, we calculate the L.C.M of the days they jog:

[tex]3 = 1 * 3[/tex] --- Wendy

[tex]4 = 1 * 2 * 2[/tex] ---- Xue

[tex]LCM = 1 * 3 * 2 * 2[/tex]

[tex]LCM = 12[/tex]

This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.

Hence, they will meet on a Monday

Answer:

0.2 million

Step-by-step explanation: