(100 points) Select the correct answer.

Danny's 7 friends contributed an equal amount of money to buy him a birthday present. The present cost $84. How much money did each friend contribute?

A. 12

B. 36

C. 48

D. 84

Answer:

The answer is C

Step-by-step explanation:

y=-5x-3

Hope this helped

Answer:

I believe the answer is y = -5x -3  

Step-by-step explanation:

The formula is y=mx+b

m= rise over run

b= starting point

and seeing how the dot is on -3 I assume that the answer is y= -5x -3

also m should be in fraction form and if it isn't, you automatically put a 1 as the denominator.

Answer:

2x+3y

Step-by-step explanation:

4x + 3y - 2x

Combine like terms

4x-2x    +3y

2x     +3y

Answer:

B

Step-by-step explanation:

184*88=16,192

The remainder when dividing 119 by 4 is 3.

We have,

To find the remainder when dividing 119 by 4, we perform the division and observe the remainder.

When we divide 119 by 4, we get:

119 ÷ 4 = 29 remainder 3

The quotient is 29, which means that 4 goes into 119 twenty-nine times without any remainder.

However, there is a remainder of 3.

Therefore,

The remainder when dividing 119 by 4 is 3.

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Answer:

33

a2+b2 =c2

a2+ 33 squared = 55 squared

a + 1936 = 3025

3025-1936=1089

square root of 1089 is 33

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Answer:

f(t) = -16t²+64t

The x-coordinate(t) of the vertex can be found using formula [tex]\frac{-b}{2a}[/tex], where:

Therefore the t-value of the vertex is:

[tex]\frac{-64}{2(-16)} =\frac{-64}{-32} =2[/tex]

The baseball will reach its maximum height after two seconds.

Answer:

4

Step-by-step explanation:

complex roots always occur in pairs.

so roots are -3+2i,-3-2i ,-2,-2

number of roots=4

Answer:

B

Step-by-step explanation:

i did the test and it was correct, ur welcome

Answer:

a

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

in B the ratio of x/y = 1 for all pairs.

in D the ratio of x/y = 4 for all pairs.

in all other sets there are different ratios inside the set.

Answer:

The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

Step-by-step explanation:

Step 1; In order to pair up the pairs with equivalent rations, we first need to calculate the ratios for all the pairs by dividing the first value with the second value. The same procedure must be followed throughout to be able to pair them up.

Step 2; By dividing the values, the ratios are;

For (1, 2), the ratio is  = 0.5,

For (2, 3), the ratio is  = 0.6666,

For (4, 7), the ratio is  = 0.5714,

For (2, 2), the ratio is  = 1,

For (4, 4), the ratio is  = 1,

For (6, 6), the ratio is  = 1,

For (3, 1), the ratio is  = 3,

For (4, 1), the ratio is  = 4,

For (5, 1), the ratio is  = 5,

For (4, 1), the ratio is  = 4,

For (8, 2), the ratio is  = 4,

For (12, 3), the ratio is  = 4,

For (2, 1), the ratio is  = 2,

For (4, 3), the ratio is  = 1.333,

For (5, 4), the ratio is  = 1.25.

Step 3; Now we pair up the sets with the same ratios, out of these 15 pairs. The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

I hope this is right and it helps you !!!!!!!!!!

Work Shown:

[tex]7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\[/tex]

So that's why the answer is choice C

The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.

Answer:

C.

Step-by-step explanation:

7x²×sqrt(2x⁴)×6×sqrt(2x¹²)

we see right away that as constant multiplication factor we have 7×6 = 42.

and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.

the only answer option with 84 is C.

now, to be completely sure, and to get some practice, let's look at the other parts :

sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²

sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶

=>

7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰

perfect. C is confirmed.

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

Answer:

Their daily consumption of milk is of 0.93 liters.

Step-by-step explanation:

Weekly consumption:

6.5 liters.

Daily consumption:

A week has 7 days.

Each day the amount consumed is the same, so the daily consumption is:

6.5/7 = 0.93

Their daily consumption of milk is of 0.93 liters.

Answer:  D. No, because the line doesn't pass through the origin, point (0,0)

Explanation:

A direct proportional graph is always a straight line through the origin.

Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.

We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.

Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's not a direct proportion.

Answer:

It is decreased by 9%

Step-by-step explanation:

First, find out how much money is decreased. To do this, subtract 13,000-11,830=1170. Finally, figure out how much percent 1170 is of the original price of $13,000.

The answer is 7%.

Hope this helps :)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A rotation 270° CCW is the same as a rotation 90° CW. To see what the figure looks like in its new location, make a copy on a semi-transparent medium, then align the +x axis on the copy with the -y axis on the original graph, keeping the origin in the same place.*

Algebraically, the transformation is ...

  (x, y) ⇒ (y, -x)

For example, ...

  S(7, -6) ⇒ S'(-6, -7)

In the attachment, the rotated figure is in red.

_____

* The exercise of physically doing this on paper or with transparencies can give you the insight you need to learn to do it mentally.

⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

THAT IS THE RIGHT ANSWER

9514 1404 393

Answer:

  24.1

Step-by-step explanation:

The third angle is C = 180° -55° -19° = 106°. The law of sines can be used to find the other two sides:

  a/sin(A) = c/sin(C)   ⇒   a = c(sin(A)/sin(C))

  b/sin(B) = c/sin(C)   ⇒   b = c(sin(B)/sin(C))

Then the sum of the lengths of the sides is ...

  P = a + b + c = c(sin(A)/sin(C)) +c(sin(B)/sin(C)) +c

  = c(1 +(sin(A) +sin(B))/sin(C)) = 11(1 +(0.8192 +0.3256)/0.9613)

  ≈ 11(1 +1.1909) ≈ 24.0994

The perimeter of the triangle is about 24.1 units.

Answer:

x = 15

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

(4[tex]\sqrt{2}[/tex] )²

= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]

= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 16 × 2

= 32

Answer:

no solution

Step-by-step explanation:

25y² +36 = 24

(5y + 6) (5y + 6)

roots -6/5, -6/5

solution is always a positive root

Answer:

There don't seem to be any limits/asymptotes to the function.

The graph would look something similar to this:

9514 1404 393

Answer:

  54.8 km

Step-by-step explanation:

The sketch and the applicable trig laws cannot be completed until we understand what the question is.

Given:

  two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°

Find:

  the distance between the boats after 3 hours, to the nearest 10th km

Solution:

A diagram of the scenario is attached. The number next to each line is the distance it represents in km.

The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...

  c² = a² +b² -2ab·cos(C)

where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.

The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.

  c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558

  c ≈ √3000.2558 ≈ 54.77

The boats are about 54.8 km apart after 3 hours.

Step-by-step explanation:

|a+b|=✓(a²+b²)

|a|+|b|=a+b

||a+b|| ≤ ||a||+|b||

9514 1404 393

Explanation:

a) see the attachment for a graph (red curve)

__

b) The piecewise defined function can be ...

  [tex]\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1<x\le 3\\2x-1&3<x\le12\end{cases}[/tex]

__

c) The new cost function is ...

  [tex]\displaystyle C(x)=\begin{cases}10&0\le x\le5\\x+5&5<x\end{cases}[/tex]

The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.

_____

Additional comment

Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.

Answer: the difference between the max is 3,200.

Step-by-step explanation:

20,000-16,800= 3,200

Answer:

the difference between the max is 3,200.

Step-by-step explanation:

20,000-16,800= 3,200

Answer:

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

Step-by-step explanation:

A function exhibiting direct variation MUST pass through the origin, (0, 0), and the graph must be a straight line.  The answer that satisfies these requirements is

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

Hello!

-41 - 2x + 6 = -24 <=>

<=> -35 - 2x = -24 <=>

<=> -2x = -24 + 35 <=>

<=> -2x = 11 <=>

<=> x = -11/2 or -5.5

Good luck! :)

The solution of the equation is only one solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

-41 - 2x + 6 = -24

Now, solving for x we get

-41 + 6 -2x = -24

-35 - 2x = -24

-2x = -24 + 35

-2x = 11

x = -11/2

x= -5.5

As, the equation of linear and have x= -5.5.

Thus, the equation have only one solution.

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