Ravi has 214 meters of rope. He gives 93 centimeters of the rope to his brother. How much rope does he have left?

A. 112
B. 125
C. 132
D. 148

Answer:

B. infinitely many solutions

Step-by-step explanation:

–2(–x + 9) = 2(x – 9)

Distribute the -2 on the left side. Distribute the 2 on the right side.

2x - 18 = 2x - 18

Add 18 to both sides.

2x = 2x

The equation means two times a number x is equal to two times the same number x. This is true for all numbers x. Every number is a solution of this equation.

Answer: B. infinitely many solutions

The answer is B.

Hope this helps :)

Answer:

C

Step-by-step explanation:

g(x) - f(x)

= x - 3 - (3x + 2)

= x - 3 - 3x - 2 ← collect like terms

= - 2x - 5

This is defined for all real numbers → C

Answer:

[tex]g(x)=0.8x+1.6[/tex]

Step-by-step explanation:

we have

[tex]-4x-6=-5y+2[/tex]

Solve for y

That means-----> isolate the variable y

Subtract both sides -2

[tex]-4x-6-2=-5y+2-2[/tex]

[tex]-4x-8=-5y[/tex]

Divide by -5 both sides

[tex](-4x-8)/(-5)=y[/tex]

Rewrite

[tex]y=(-4x-8)/(-5)[/tex]

[tex]y=\frac{4}{5}x+\frac{8}{5}[/tex]

[tex]y=0.8x+1.6[/tex]

Convert to function notation

Let

g(x)=y

[tex]g(x)=0.8x+1.6[/tex]

Answer: OPTION B.

Step-by-step explanation:

Given the equation [tex]48=-8(\frac{3b}{4}+2)[/tex] you can find an equivalent equation by simplifying it.

You need to remember the multiplication of signs:

[tex](-)(-)=+\\(+)(+)=+\\(+)(-)=-[/tex]

Now you can apply the Distributive property:

[tex]48=\frac{(-8)(3b)}{4}+(-8)(2)\\\\48=\frac{-24b}{4}-16[/tex]

Simplifying the equation, you get:

[tex]48=-6b-16[/tex]

You can observe that this equivalent equation matches with the equation provided in option B.

Answer:

D

Step-by-step explanation:

10x - 5 and 7x + 4 are vertical angles and congruent, hence

10x - 5 = 7x + 4 ( subtract 7x from both sides )

3x - 5 = 4 ( add 5 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

7x + 4 and y are same side interior angles and are supplementary, thus

y + 7x + 4 = 180 ← substitute x = 3

y + 21 + 4 = 180

y + 25 = 180 ( subtract 25 from both sides )

y = 155 → D

Based on my calculations the answer is B

Answer:

D

Step-by-step explanation:

Answer:

A measures 72 and B measures 108

Step-by-step explanation:

If the angles are supplementary, that means that they add up to equal 180.  3x + 12 + 4x + 28 = 180.  Doing some algebra there gives you that 7x = 140 and x = 20.  Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108.  And of course, 108 + 72 = 180.

In 1 pack there is 6 pencils cause you need to divide 36 by 6. In 3 packs there are 18 pencils because 6 pencils times 3 packs is 18 pencils!

Hope this helped!

Answer with step-by-step explanation:

We are given that there are 36 pencils in 6 packs and we are to find out how many pencils are there in one pack and three packs.

To find the number of pencils in one pack, we need to divide the number of pencils by the number of packs.

Number of pencils on 1 pack = 36/6 = 6 pencils

To find the number of pencils in 3 packs, we will multiply the number of pencils in one pack by 3.

Number of pencils in 3 packs = 6 * 3 = 18 pencils

There are three 1/3's in 1 hour: 1/3 +1/3 +1/3 = 3/3 = 1

Multiple the distance he rode by 3:

His speed is: 6 3/4 x 3 = 20 1/4 miles per hour

ANSWER

B.

[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = {3}^{x} + 10[/tex]

and

[tex]g(x) = 2x - 4[/tex]

We want to find (f+g)(x).

[tex](f+g)(x) = f(x) + g(x)[/tex]

[tex](f+g)(x) ={3}^{x} + 10 + 2x - 4[/tex]

Combine similar terms,

[tex](f+g)(x) ={3}^{x} + 2x + 10- 4[/tex]

Simplify:

[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]

The correct answer is B

The answer is B. Hope this helped

k should be 1, Check by calculating the x values for f(x) and confronting them with g(x)

The graph of g(x) is a vertical shift of the graph of f(x) by 1 unit up. Thus, the value of k is 1.

The graph of g(x) = f(x) + k is a vertical shift of the graph of f(x) by k units. We can see from the graph that the graph of g(x) is shifted up by 1 unit relative to the graph of f(x).

Therefore, the value of k is 1.

To confirm this, we can plug in a point on the graph of g(x) into the equation for g(x) and solve for k.

For example, we can see that the point (-1, 2) is on the graph of g(x). Plugging this point into the equation for g(x), we get:

2 = -2(-1) - 2 + k

2 = 0 - 2 + k

k = 2 + 2

k = 4

However, we know that this cannot be the correct answer, because the graph of g(x) is shifted up by 1 unit relative to the graph of f(x). Therefore, the only possible value of k is 1.

For similar question on vertical shift.

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Answer:

sw=t

Step-by-step explanation:

300 times the number of weeks,equals the total income

Answer:

21

Step-by-step explanation:

207-18=189..then divide by 9

The problem involves subtracting Sara's remaining money from her initial amount to find the total spent on books, then dividing by the number of books, giving us that each book cost 21 dollars.

This is a basic algebra problem where we need to find the cost of each book. Sara initially has 207 dollars and after buying 9 books, she has 18 dollars left. Therefore, we can calculate the total spent on books by subtracting the final amount from the initial.

The calculation is: 207 dollars - 18 dollars = 189 dollars.

Now, to find the cost of each book, divide the total spent by the number of books. So, 189 dollars divided by 9 books results in 21 dollars per book.

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Answer:

[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Step-by-step explanation:

4C implies that we multiply each element in C by the constant 4.

12*4 = 48

0*4 = 0

(3/2)*4 = 6

This will be the new elements on top

1*4 = 4

-6 * 4 = -24

7 * 4 = 28

This will be the new elements at the bottom. The required matrix 4C is thus;

[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Answer:

The required matrix is:

[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Step-by-step explanation:

The matrix given is:

[tex]C=\left[\begin{array}{ccc}12&0&3/2\\1&-6&7\end{array}\right][/tex]

We need to find 4C which means we need to multiply the matrix C with 4. Every entry of matrix will be multiplied by 4.

[tex]4C=\left[\begin{array}{ccc}4*12&4*0&4*3/2\\4*1&4*-6&4*7\end{array}\right][/tex]

Solving:

[tex]4C=\left[\begin{array}{ccc}48&0&12/2\\4&-24&28\end{array}\right]\\4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

SO, the required matrix is:

[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Answer:

you can see the solution in the photo i have uploaded

Answer:

Step-by-step explanation:

If all we need to do is to evaluate this expression, a calculator is one way to go.

Here's what I'd type in for the first expression:

(2*4^(2/3))^1/3 = 1.7145

... and for the second expression:

128^(1/3) = 5.0397

Therefore, the first expression, divided by the second, is 0.3402.

35 out of 200 = 35/200 = 0.175 = 17.5% of the people surveyed are attending their first concert.

Now multiply all the people at the concert by 17.5%

3000 x 0.175 = 525

There are about 525 people total attending their first concert.

Musiclover is right give it to them it’s 525

Answer:

The y-intercept changes from (0, 3) to (0, -3)

Step-by-step explanation:

The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.

Substitute x = 0 in both equations to determine how the y-intercept changes;

The original equation is given as y = 4x + 3,

when x = 0; y = 4(0) + 3 = 3

The y-intercept is thus (0, 3)

The new equation is given as y = 4x - 3

when x = 0; y = 4(0) - 3 = -3

The y-intercept is thus (0, -3)

Therefore, the y-intercept changes from (0, 3) to (0, -3)

Answer:

6 in.

Step-by-step explanation:

So first you do 4 divided by 2 to find how much is 1 in the ratio.

4/2 = 2

Then you times 3 by 2

3 x 2 = 6 in.

Answer:

6

Step-by-step explanation:

I did it on plato :))

Step-by-step explanation:

They are not equivalent because :

2/8=1/4 decimal: 0.25

3/4 decimal:0.75

3/4 is greater than 2/8 when they are decimals.

Answer: They are not equivalent.

The other person spelled the word equivalent wrong.

Answer: THEY ARE NOT EQUIVILENT

2/8= .25

3/4=.75

.75≠.25

MAKE ME BRAINLIEST

Answer:

9

Step-by-step explanation:

5x + (-2x)

Combine like terms

5x -2x

3x

Let x =3

3(3)

9

question no 39 isnot correct. they should be in i j k form

35. c)parallelogram, 36.a) straight line, 37.d) none, 38.d) None, 39.d)None

Question 35

Any four vertices of a regular pentagon will form a parallelogram. This is because the internal angles and lengths are such that selecting any four vertices will always result in the formation of a closed, opposite sides being equal, and opposite angles being equal shape, which is a parallelogram.

Question 36

If two circles touch, the point of contact lies on a straight line. Hence, the correct answer is a straight line.

Question 37

The domain of the relation R where R = {(x,y): y = x + x ; x ≥ 0 and x < 9} will be as follows: we are given that y = x + x^2 and x ranges from 0 (inclusive) to 9 (exclusive). Thus, the possible values for x within these constraints are all integers from 0 to 8. Therefore, the correct domain is

{0, 1, 2, 3, 4, 5, 6, 7, 8} and correct option is d. None

Question 38

If Mary's share is Rs. 225 and it is divided between Mary and David in the ratio 3:2, we first find the portion that represents Mary’s share. Here, Mary’s share is 3 parts and David’s is 2 parts. Together, their shares add up to 5 parts. If 3 parts equate to Rs. 225, then 1 part is Rs. 75. The total amount of money, which is 5 parts, will be 5 * 75 = Rs. 375. Hence, the correct total is Rs. 375.

Question 39

The angle between the vectors 2î + 3ĵ + k and 2î - 3ĵ - k can be found using the dot product formula.

The dot product of A and B, A.B = |A| |B| cos θ. First, compute A.B:

Next, find |A| and |B|:

Therefore,

Taking the inverse cosine:

The approximate answer to the angle is around 116 degrees. However, because most multiple-choice sets would give their answers in radians, you would need to adjust accordingly. None of the provided answers exactly match this calculated result, therefore correct option is d. None

I believe 5 marbles on the 6th line.

Line 1: 10

2: 10-1=9

3: 9-1=8

4; 8-1=7

5: 7-1=6

6: 6-1=5

For the pattern given, the number of marbles in the sixth line is 5.

Given that:

"Starting with 10, every consecutive line has a number one less than the previous line."

This is the pattern of the positions of the marbles.

The first line has 10 marbles.

The second line has 10 - 1 = 9 marbles.

The third line has 9 - 1 = 8 marbles.

The fourth line has 8 - 1 = 7 marbles

The fifth line has 7 - 1 = 6 marbles

The sixth line has 6 - 1 = 5 marbles.

The number of marbles in any line will be 10 - (n - 1) marbles for any nth line.

Hence the number of marbles is 5.

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Answer:4

Step-by-step explanation:

21=3x+9

12=3x

X=4

Final answer:

To find Henry's age, use the equation 21 = 3x + 9, where x represents Henry's age which is 4.

Explanation:

The question asks to find the equation to determine Henry's age. Given that Mary is 21 years old and her age is 9 years more than 3 times Henry's age, we set up the equation as follows: Let x represent Henry's age. The equation then becomes 21 = 3x + 9. This equation can be used to solve for x, Henry's age which is 12 = 3x; x = 4.

Answer:

[tex]\large\boxed{C=5.2\pi\ in\approx16.328\ in}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 2.6 in. Substitute:

[tex]C=2\pi(2.6)=5.2\pi\ in[/tex]

[tex]\pi\approx3.14\to C\approx(5.2)(3.14)=16.328\ in[/tex]

Answer:

Step-by-step explanation:

√(x)

Shifted 3 units down:

√(x) - 3

Shifted 2 units to the right:

√(x-2) - 3

It's the last one.

ANSWER

[tex]y = \sqrt{x - 2} - 3[/tex]

EXPLANATION

The given equation is

[tex]y = \sqrt{x} [/tex]

This is the parent square root function.

If we apply the transformation;

[tex]y = \sqrt{x - k} - c[/tex]

Then the parent function will shift c units down and k units to the right.

When we the given function 3 units down and 2 units right the equation becomes:

[tex]y = \sqrt{x - 2} - 3[/tex]

Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class ([tex]\frac{A's}{B's}[/tex])

[tex]\frac{2}{5} = \frac{A}{40}[/tex]

Cross multiply

2 * 40 = 5 * A

80 = 5A

Isolate A by dividing 5 to both sides

80/5 = 5A/5

16 = A

If 40 people in the class got B's then 16 people got A's

Hope this helped!

~Just a girl in love with Shawn Mendes

16 people got A's if there were 40 people who got B's

The ratio of the number of A's in the class to B's in the class is given as:

Ratio = 2 : 5

This can be rewritten as:

A :  B = 2 : 5

When there are 40 B's, we have:

A :  40 = 2 : 5

Multiply the second ratio by 8

A :  40 = 16 : 40

By comparison, we have:

A = 16

Hence, 16 people got A's if there were 40 people who got B's

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Answer: it should be 25.

Step-by-step explanation: this is because the slope of the line is 25. you can see that because, when finding the slope, you see that it goes up 50 and over 2. 50/2 (rise/run) is 25.

Answer:

25

Step-by-step explanation:

On the graph, you can see the train has traveled from 0 to 150 miles (the Y-axis), and it did that in 6 hours (X-axis).

That means that it traveled 150 miles in 6 hours.

A speed is a distance divided by a time (like miles/hour). So, to get the speed, we need to divide the distance traveled by the time it took to do it:

S = 150 miles / 6 hours = 25 miles per hour

Answer:

4 = GCF

Step-by-step explanation:

52/12 = 4.333

52/11 = 4.7272727

52/10 = 5.2

52/9 = 5.77777778

52/8 = 6.5

52/7 = 7.42

52/6 = 8.6666667

52/5 = 10.4

52/4 = 13 --> 4 works but does it work with 12

**check it.

12/4 = 3

**YES** So 4 is the GCF

Hello There!

The Greatest Common Factor Between "12" And "52" Is 4

-Hello There-

B Correct

The area of the original shape will be

multiplied by 9 to get the area of the

image under a dilation with scale

factor 3.

15 × 9 = 135 cm2

The perimeter of the original shape

will be multiplied by 3 to get the

perimeter of the image.

20 × 3 = 60 cm

See attachment for solution steps and answer.