How many solutions does this equation have?
a + 3 + 2a = -1+ 3a + 4

Answer:

first you subtract 5 from both sides

your left with 3x=11

divide by 3 on both sides

x=3.666 repeating

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:

|4.1 -(-4.7)|

|4.1 + 4.7|

|8.8|

8.8

Answer:

3 quarts and 14 ounces of honey remain in the beehive.

Step-by-step explanation:

Pint = 16 ounces

Gallon = 128 ounces

Quart = 32 ounces

So, we start with a total of 640 ounces of honey. The beekeeper removes 530 ounces, leaving 110 behind. 32 ounces in a quart means that there are 3 full quarts in the hive as well as 14 ounces.

Answer:

A is your answer

Step-by-step explanation:

Answer:

8²+16²=x²

Step-by-step explanation:

because h²=base²+perpendicular ²

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

The figure that illustrates a reflection in line k is figure C.

We have given that the figure.

We have to determine the correct option a reflection in line k.

A reflecting line is a perpendicular bisector.

When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.

Therefore option c is correct.

Therefore, the figure that illustrates a reflection in line k is figure C.

To learn more on Reflection click:

https://brainly.com/question/31873964

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Answer:

$1.20

Step-by-step explanation:

Just divide $3.60 by 3. If that's the price of 3 boxes, dividing it by 3 will estimate it to how much 1 box will cost.

Answer:

$1.20 per box

Step-by-step explanation:

Hope this helps :)

Answer:

12 meters

Step-by-step explanation:

hdhwhehhehhdhshheheheheueueje

Answer:

Answer:

Step-by-step explanation:

The coordinates for the enlargement would be (-5,4) (-5,-2) (-2,-2)

Domain: all the real numbers  

Range: y ≤ 9/5

i hope u can see the attached graph! :)

Answer:

a)

Step-by-step explanation:

vertex is at (-0.4, 1.8) so range must be less than or equal to 1.8

Answer:

D

Step-by-step explanation:

Answer: You're correct

Step-by-step explanation:

All values on the dice are < 7, so 6/6 are less.

6/6 simplifies to 1, so that is also correct.

6/6 = 1 = 100%

0/6 is incorrect.

Answer:

You are 100% correct so dw abt it!

Step-by-step explanation:

I'm sorry

Answer:

White

Step-by-step explanation:

20 divided by 4 = 5

White was spun 5 times.

The question is incomplete. The complete question is :

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?

Offer 1                                           Offer 2                                      

Rate: 7%                                         Rate: 6%                                                      

Time(years): 30                            Time (years): 25

Loan Amount: $200,000             Loan Amount: $200,000  

Monthly Payment: $1,330.60       Monthly Payment: $1,288.60

Total Financed:$479,017.80         Total Financed: $386,580.84

Offer 3

Rate: 5%

Time (years): 15

Loan Amount: $200,000

Monthly Payment: $1581.59

Total Financed: $284,685.71

Solution :

It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.

So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.

Therefore, they should choose Offer 3.

Answer:

4 so you dont have the read that stuff

Step-by-step explanation:

Answer:

Quadrant IV (Quadrant 4)

Step-by-step explanation:

with the positive x value, it tells that the point will either be in Quadrant I or Quadrant IV

with the negative y value, we can find that it is in Quadrant IV, because all points in Quadrant IV are (+, -)

Answer:

[tex]speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour[/tex]

Answer:

Total cost =3over8 x 48 x0. 55=9.9

Answer:

$9.90

Step-by-step explanation:

First, we need to find the number of vanilla cupcakes.

The question tell us that 3/8 of the 48 cupcakes are Vanilla flavored, so we can start by dividing 48 by 8 to find what 1/8 of 48 is:

48/8 = 6

1/8 of 48 = 6

Now to find 3/8, we just need to multiply that number by 3:

6 x 3 = 18

3/8 of 48 = 18

So now we know that she bought 18 vanilla cupcakes.

Finally to find the price, we just need to multiply the price per cupcake by the number of cupcakes:

$0.55 per cupcake x 18 cupcakes = 0.55 x 18 = $9.90

The total cost of the vanilla cupcakes was $9.90

Hope this helped!

Step-by-step explanation:

there is nothing its just a dark screen?

Answer:

21

Step-by-step explanation:

Answer:

No, it is AAS.

Step-by-step explanation:

By vertical angle theorem ∠KLJ≅∠MLN.

And the given congruent sides are not between the two congruent angles, therefore it cannot be ASA.

Triangle KLJ ≅ Triangle MLN

Answer:

B

Step-by-step explanation:

[tex]1)\cos\ Q = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]2)\ PQ = 2XY, PQR\ and\ XYZ\ - similar\ =>\ RQ = 2YZ\ and\ PR = 2XZ[/tex]

[tex]3)\ Sin\ Z = \frac{XY}{YZ} = \frac{\frac{PQ}{2}}{\frac{QR}{2}} = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]Answer: \ \frac{\sqrt{7}}{5}[/tex]

Answer:

The answer is x=-6, x=8

Step-by-step explanation:

I recommend using the quadratic formula to solve this problem.

x^2=a

-2x=b

-48=c

Plug it into the quadratic formula.

New equation:[tex]\frac{2+-\sqrt{(-2)^2-4(1)(-48)}}{2(1)}[/tex]

Simplify

Equation: [tex]\frac{2+-\sqrt{4+192}}{2}[/tex]

Add 4 and 192.

Equation: [tex]\frac{2+-\sqrt{196}}{2}[/tex]

Do the square root of 196.

Equation: [tex]\frac{2+-14}{2}[/tex]

Make into two different equations.

Equation 1: [tex]\frac{2+14}{2}[/tex]

Equation 2: [tex]\frac{2-14}{2}[/tex]

Solve the two equations and you will get -6 and 8.  Hope this helps!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}[/tex]

[tex] \sf \: x ^ { 2 } - 2 x - 48 = 0[/tex]

All equations of the form ax² + bx + c = 0 can be solved using the quadratic formula: [tex]\sf \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

[tex] \sf \: x^{2}-2x-48=0 [/tex]

This equation is in standard form: ax² + bx + c = 0 Substitute 1 for a, -2 for b and -48 for c in the quadratic formula.

[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-48\right)}}{2} \\ [/tex]

Square -2.

[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4-4\left(-48\right)}}{2} \\ [/tex]

Multiply -4 times -48.

[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4+192}}{2} \\ [/tex]

Add 4 to 192.

[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{196}}{2} \\ [/tex]

Take the square root of 196.

[tex] \sf \: x=\frac{-\left(-2\right)±14}{2} \\ [/tex]

The opposite of -2 is 2.

[tex] \sf \: x=\frac{2±14}{2} \\ [/tex]

Now solve the equation [tex]\sf\:x=\frac{2±14}{2}[/tex] when ± is plus. Add 2 to 14.

[tex] \sf \: x=\frac{16}{2} \\ [/tex]

Divide 16 by 2.

[tex] \boxed{ \boxed{ \bf \: x=8 }}[/tex]

Now solve the equation [tex]\sf\:x=\frac{2±14}{2} [/tex] when ± is minus. Subtract 14 from 2.

[tex] \sf \: x=\frac{-12}{2} \\ [/tex]

Divide -12 by 2.

[tex] \boxed{\boxed{ \bf \: x=-6 }}[/tex]

The equation is now solved.

[tex] \underline{ \bf \: x=8 }\\ \underline{ \bf \: x=-6 }[/tex]

Answer:

298.24 mph at an angle of 89 degrees

Step-by-step explanation:

[tex]v_p[/tex] = Velocity of plane = 300 mph at 50 degrees

[tex]v_j[/tex] = Velocity of jet stream = 200 mph at 160 degrees

The velocity of the plane in component form is

[tex]v_p=300\cos50^{\circ}\hat{i}+300\sin50^{\circ}\hat{j}[/tex]

The velocity of the jet stream in component form is

[tex]v_j=200\cos160^{\circ}\hat{i}+200\sin160^{\circ}\hat{j}[/tex]

Resultant velocity is given by

[tex]v=(300\cos50^{\circ}+200\cos160^{\circ})\hat{i}+(300\sin50^{\circ}+200\sin160^{\circ})\hat{j}\\\Rightarrow v=4.9\hat{i}+298.2\hat{j}[/tex]

Magnitude is given by

[tex]|v|=\sqrt{4.9^2+298.2^2}\\\Rightarrow |v|=298.24\ \text{mph}[/tex]

Angle is given by

[tex]\theta=\tan^{-1}\dfrac{298.2}{4.9}=89^{\circ}[/tex]

The velocity of the plane is 298.24 mph at an angle of 89 degrees.

Answer:

13x-39=39

13x=78

 the answer is x=6

Answer:

424x - 136

Step-by-step explanation:

16x + 34 ( 12x - 4 )

= 16x + 408x - 136

= 424x - 136