Two sides of a triangle have lengths of 14 and 29.


The third side has to have a length, X, between what two numbers?


< X

Answer: 7<x<37

Step-by-step explanation:

The  expression without absolute value |120+x| if x<-120 is -120 - x

Given the absolute value expression |120 + x|

If x < -120, the resulting expression will be;

|120 + x| = -(120 + x)
|120 + x| = -120 - x

Hence the  expression without absolute value |120+x| if x<-120 is -120 - x

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Answer: 11 gems

Step-by-step explanation:

After Aaron gives 12 gems to his sister, he is left with 100-12 gems = 88 gems.

If he divides the gems evenly among the crowns, each one will have 88/8 gems = 11 gems.

Answer:

Step-by-step explanation:

We are told to model the number of students in the club. That is the dependent variable, so we will assign 'y' to that quantity. The number of students in the club is a function of the number of weeks since it was formed, so we can assign 'x' to that independent variable.

The initial value of y is 6, and it increases by 3x (that is, 3 students each week). The model of the number of homework club students can be ...

  y = 3x +6

Step-by-step explanation:

Suppose adult tickets are x ticket

Student tickets are 1216 - x ticket

x(5) + (1216 - x)(1) = 2596

5x + 1216 - x = 2596

4x = 2596 - 1216

4x = 1380

x = 345

Adult tickets have 345 tickets

and student tickets have 1216 - 345 = 871 tickets.

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Answer:

168.7

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Answer:

1$

Step-by-step explanation:

Her total amount is 40$

She then buys the tires(tires = 21$) so she bought that subtract 21$ from 40$ 40$ - 21$=19$

She next wanted to buy a bell so she did the bell was 5$ so subtract 5$ from 19$ 19$-5$=14$ left

So remember she has 14$ left and she is buying a basket which is 13$ so her buying the basket is remaining her with 1$ because basket is 13$ and she has 14$ so what is 14$-13$ it is 1$  and there's your answer.

         1$

__________

Hope this helps have a awesome afternoon:)

Answer:

$244.51

Step-by-step explanation:

Credit card payment =$5390

After paying $2300 from savings account,

Remaining payment left     = 5390-2300 = $3090

APR = 16.5% or 0.165

Time (t) = 14 months = 14/12 years

Using credit card payment calculator,

Monthly payment = $244.15

Hence, minimum monthly payment to be made to pay off the whole debt in 14 months = $244.15

Step-by-step explanation:

the line is

20x - 17y = 15

I am not sure what your teacher uses as "standard form".

the works is split between "point-slope" and "slope-intercept" form as "standard".

I usually pick "slope-intercept" :

y = ax + b

with a being the slope and b being the y-intercept.

in any case, we can find the x-intercept without bringing the line equation to one of these forms.

because x-intercept simply means that y = 0.

and for y=0 the original equation is then

20x - 17×0 = 15

20x = 15

x = 15/20 = 3/4

The perimeter of the face PQR is 84 cm.

The perimeter of an object is the sum of the lengths of the sides of the object.

Given that, there are two similar triangular prisms. Figure 2 is similar to figure 1 by a scale factor of 4.

We know that, the ratio of the perimeters of similar objects is equal to their scale factor.

Therefore,

P(ABC) / P(PQR) = 1/4

21 / P(PQR) = 1/4

P(PQR) = 84

Hence, the perimeter of the face PQR is 84 cm.

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Answer:

[tex]x=7, x=-3[/tex]

Step-by-step explanation:

Bring the 21 on the LHS:

[tex]x^2-4x-21=0[/tex]

At this point we need to find two numbers whose product is -21, and whose sum is -4.

From the product we can tell that one has to be positive, and one is negative.

From the sum, we can tell that the greater of the two is negative.

At this point we look at the factors of 21: 1,3,7,21.

In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as

[tex](x-7)(x+3)=0[/tex]

Considering that a product is zero if any of the factors is zero, it's:[tex]x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3[/tex]

Answer:

B

Step-by-step explanation:

answer is B, 4,375 ft^3

[tex]V= \frac{lwh}{3}=\frac{25 x 35 x 15}{3} = 4 ,375ft^3[/tex]

(x = multiplication symbol)

Answer:

Step-by-step explanation:

Hope this help

The larger of the triangle’s two acute angles is 65 degrees

Given the expression

sin(x+4) = cos(3x + 2)

Since sin theta = cos(90 - theta), hence;

cos(90 - (x+4)) = cos(3x +2)

cos(86 - x) = cos (3x+2)

Cancel out the cosine functions to have:

86 - x = 3x + 2

-4x = -84

x = 21

Substitute x = 21 into the expression

sin(x+4) = Sin25 =

Hence the larger of the triangle’s two acute angles is 65 degrees

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Answer:

the fourth choice.

Step-by-step explanation:

it has to be a parabola that crosses the x axis at positive 2 and negative 3

Answer:

3.5 miles per hour of speed

Step-by-step explanation:

Given:

To find:

0.875                      15

             x                           60

Answer: Lien walked 3.5 miles per hour of speed.

Step-by-step explanation:

Distance Lien walked = 7/8 of a mile = 0.875 miles

Time of walking = 1/4 of an hour = 15 minutes

Distance in miles     Time in minutes

          0.875                      15

             x                           60

Calculations:

15x = 0.875 * 60

15x = 52.5

x = 52.5/15

x = 3.5

Hope this wasn't too confusing and it helps you out!

Answer:

555.7 in²

Step-by-step explanation:

Lateral surface area of a cylinder is the "side" surface area only.  Lateral SA does not include the surface area of the 2 circular ends.

[tex]\textsf{lateral SA}=2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substituting these values into the formula:

[tex]\implies \textsf{lateral SA}=2\pi \cdot 4.4 \cdot 20.1[/tex]

[tex]\implies \textsf{lateral SA}=555.7 \textsf{ in}^2 \textsf{ (nearest tenth)}[/tex]

Answer:

No solution

Step-by-step explanation:

Im not 100% sure this is right, I looked it up????

Step-by-step explanation:

I don't really understand your question as in how many solutions.

Well if its to combine like terms the solution is below.

6-3x = 4-x-3-2x

combining like terms.

Note: Any sign to be taken across the sign (=) changes. e.g From + to - ...

6-4+3= 3x-x-2x

5 = 0

Answer:

  (c)  $1062.50

Step-by-step explanation:

The total of the rental and security deposits amounts to two and a half months' rent:

  2.5 × $425 = 1062.50

It will cost Blake $1062.50 to move in.

Answer:

you multiply 300 by 5 % and that gives you 15

Step-by-step explanation:

Answer:

15g

Step-by-step explanation:

Method A: Calculate the percent first

If you decrease an amount by 25%, you end up with 75% of the amount.

75% of 20g = 0.75 × 20g = 15g

Method B: Calculate the decrease first

We start with 20g. To decrease 20g by 25%, we calculate 25% of 20g.

25% of 20g = 0.25 × 20g = 5g

The decrease amount is 5g.

Now we subtract 5g from 20g.

20g - 5g = 15g

Answer:

3/17

Step-by-step explanation:

multicolored and 1 passenger (3) over total (17)

3/17 doesn't simplify

Answer:

Option D

Step-by-step explanation:

Standard equation of a linear function

Means the degree is 1

Let's observe

Option D is correct

Answer:

12

Step-by-step explanation:

Answer:

using your brain you have to find it on your own

Answer:

Answer:

I'm not so sure but it's 90°

How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .