Mathematics High School

what is x in the equation
4(x+6)= 5(x+9)+4x?

Answers

Answer 1
Hello there!

4(x + 6) = 5( x + 9) + 4x

We wanna start with the distributive property

(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x

4x + 24 = 5x + 45 + 4x

4x + 24 = 9x + 45

Subtract 24 on both sides

4x + 24 - 24 = 9x + 45 - 24

4x = 9x + 21

Subtract 9x on both sides

4x - 9x = 9x + 21 - 9x

-5x = 21

Divide both sides by -5

-5x/-5 = 21/-5

x = -21/5

Related Questions

13. Explain how the line of best fit would change if one of the data points were moved up or down. Clearly mention how the x-value (time) of the point would influence this.

Answers

The line would move a small amount in each direction. Depending on how much the point moves.

Twelve times the number of days decreased by five

Answers

So you times 12/days5?decrease by -5 isn’t it 55?

4. The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.

A. 16

B. 28.5

C. 2.8

D. 12.7

Answers

The correct answer is ;
QR=9
QP=6
TU=19
TS=?
Okay so the triangles are kindred, now the equation can be made
9/16=6/x
So now we are going to cross multiply
9x=114
Now divide both sides by
912 2/3
Your answer is:
TS=12.6 the correct answer is D.12.7

Hope this helps u
Set up a proportion since the two triangles are proportional.

QP/TS= QR/TU
6/TS= 9/19
cross multiply
(6*19)= (9*TS)
114= 9TS
divide both sides by 9
12.666666= TS
round up to the tenths decimal place
12.7= TS

ANSWER: D) 12.7 is TS

Hope this helps! :)

plz help will mark BRAINLIEST algebra 2

Answers

You have to ask yourself the meaning of h(0)
That means that GS Hopper is at this starting position
h(0) = -0^2 + 4/3 * 0 + 1/4
GS is 1/4 of a unit above the ground. So you need to find out how to solve h(t) so that the value of h(t) = 0 There is a difference between h(t) = 0 and t = 0.

-t^2 + 4/3 t  + 1/4 = 0 I'd multiply through be 12. It might be easier to do.
-12 t^2 + 16t + 3 = 0 Remember all terms have to be multiplied by 12.
I know this seems laborious, but you should divide through by - 1
12t^1 - 16t - 3 = 0. That way you don't have to explain what to do with the minus 1. Negatives can be a real pain.

It does factor. 
(2x - 3)(6x + 1) = 0 This is just a guess that was lucky. You have to try combinations to get it right. Luckily 3 has only 1 and 3 as factors.
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5 This answer means that 1.5 s starts his jump, he's on the ground.

the other root is meaningless. You can't have minus time in these questions.
Answer t = 1.5 s <<<< answer

Please help me figure this out because everything I've tried doesn't work. I NEED TO FINISH THIS TO GRADUATE PLEASE PLEASE PLEASE HELP ME!
A perpendicular bisector, CD , is drawn through point C on AB.
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is ____ . Point ___ lies on CD.

Part 1 options
(3,0)
(18/5,0)
(9,0)
(45/2,0)

Part 2 options
(-52,141)
(-20,57)
(32,-71)
(54,-128)

Answers

1. (18/5,0)
First let us find the equation of AB. It should be in the form of y=mx + b
From the given coordinates, you can get m, x, and b.

m= y2-y1 divided by x2 - x1
m=(6-2)/(7- -3)= 4/10 or 2/5
m= 2/5

b is your y intercept
To get it, use 1 coordinate either from point A or B.
Let point A be the coordinates
y=mx + b
-3= 2/5(2) + b
b= - 3- 4/5
b= 16/5


Now we will find the equation of CD,
y=mx + b
y= (-5/2)x + b
Then get the coordinates of point C through midpoint equation,
(x1+x2) /2, (y1+y2) /2
(-3+7)/2, (2+6)/2
=C(2,4)
We will use this coordinates to find b,
y=mx+b
4=(-5/2)2+b
4+5=b
b=9
If we are finding the x intercept, y value should be 0.
0=(-5/2)x+9
0-9(2)/-5=x
x= 18/5
The x intercept of CD is (18/5,0)

2. The answer is (54,-128)

how many triangles can you make with 3cm, 4cm and 11cm

Answers

Can you be more specific? 

how much would 600 invested at 8% interest compounded continuously be worth after 3 years? round your answer to the nearest cent.

Answers

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=years\to &3 \end{cases} \\\\\\ A=600e^{0.08\cdot 3}\implies A=600e^{0.24}[/tex]

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.

The side opposite the 30° angle measures 41 feet.

A) find the length of the side of the lot opposite the 60° angle.(show how I know).

B) find the length of the hypotenuse of the triangular lot.(show how I know)

Answers

check the picture below.
A) You can find the length of the side of the lot opposite the 60° angle  (which we will call "x") as below:

 Tan(α)=Opposite/Adjacent

 α=60°
 Opposite=41 feet
 Adjacent=x

 When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

 Tan(60°)=x/41
 (41)Tan(60°)=x
 x=41√3
 x=71.01 feet

 B) Now, you can find the length of the hypotenuse:

 Cos(α)=Adjacent/Hypotenuse

 α=60°
 Adjacent=41 feet
 Hypotenuse=y

 When you substitute these values into Cos(α)=Adjacent/Hypotenuse, you obtain:

 Cos(60°)=41/y
 yCos(60°)=41
 y=41/Cos(60°)
 y=82 feet

Over 6 days, jim jogged 6.5 miles, 5miles, 3miles, 2miles,3.5 miles,and 4 miles.what is the mean distante that jim jogged

Answers

He jogged a mean of 6 miles. 

Explanation:
To find the mean, add all the values and divide the sum by the number of the values.

6.5 + 5 + 3 + 2 + 3.5 + 4 = 24
24 ÷ 6 = 4

Answer:

C edg 2020

Step-by-step explanation:

Choose as many answers as apply.
Which of the following are normal payroll deductions?
taxes
pension fund contributions
group health insurance premiums
Book of the Month Club

Answers

From your choices, these are the following that have normal payroll deductions:
taxes
pension
health insurance
 Common payroll deductions include different kinds of taxes, insurance payments, pension payments, union dues and donations to charities. 
Answer:

The payroll deductions among the given choices are Taxes, health insurance premiums and pension fund contributions.

Step-by-step explanation:

Payroll deductions are those amounts which are deducted from an employee's payroll amount. These amounts are usually withheld by the employer where the employee works. Payroll deductions include insurance pension contributions, wage assignments, child support payments, taxes, and union and uniform dues.

PLEASE HELP FAST!!!!
As a pendulum swings , the angle (theta) that it makes with the vertical changes through its swing. The force of gravity pulling on the bob is given by F=mg sin (theta), where g is equal to 9.8m/s^2. If the mass of the pendulum is 0.01 kg, what is the force pulling on the pendulum when it makes a 22.5 degree angle with the vertical?

Answers

The force of gravity pulling on the bob is given by F = mgsinθ
Where m is the mass of the pendulum, g is the gravity, while θ is the angle between the pendulum and the vertical.
Therefore, m = 0.01 kg, g = 9.8 m/s² and θ = 22.5
Force = 0.01 × 9.8× sin 22.5
          = 0.098 × sin 22.5
          = 0.0375 Newtons.

Answer:

Answer B

Step-by-step explanation:

The already given answer is correct, but if you need to know what answer it is without getting your calculator out, its B, or

0.049 (square)2 -(square) 2 N

0.049√2-√2 N

HURRRY QUICK!!!!!!

HELP ME ON THIS!!!!!!!!!!!!!!!!!!!!

Answers

It is exponential growth because it says 18.36% "more than" and it can be linear because it does not stay at a constant rate of change. Answer: Exponential growth
Hope this helps!

A rectangle has perimeter 68 meters, and its area is 280 sq-meters. find the dimensions of this rectangle. (for purposes of this problem only, the width is shorter than the length.)

Answers

let one side be x and the other be y

Perimeter is 68 meters
2(x + y) = 68
x + y = 34
x = 34 - y ------------------ (1)

Area = 280
xy = 280 ------------------- (2)

Sub (1) into (2):

(34 - y)y = 280
34y - y² = 280
y² - 34y + 280 = 0
(x - 14)(x - 20) = 0
x = 14 or x = 20

The dimension  of this rectangle is 14 meters by 20 meters


Final answer:

The rectangle's length to be 20 meters and the width to be 14 meters.

Explanation:

We are given that a rectangle has a perimeter of 68 meters and an area of 280 square meters, and we need to find its dimensions. Let's call the length of the rectangle L and the width W.

The perimeter (P) of a rectangle is given by the formula P = 2L + 2W. We know the perimeter is 68 meters, so we can write the equation:

1. 68 = 2L + 2W

The area (A) of a rectangle is given by the formula A = L × W. We know the area is 280 square meters, so we can write the equation:

2. 280 = L × W

To find L and W, we solve these two equations simultaneously.

Divide the perimeter equation by 2 to simplify:

34 = L + W

We can then express W in terms of L using this equation:

W = 34 - L

Substitute this into the area equation:

280 = L × (34 - L)

This gives us a quadratic equation:

L2 - 34L + 280 = 0

Solving this quadratic equation, we find that L = 20 and W = 14 or L = 14 and W = 20. Since the width is shorter than the length, the dimensions of the rectangle are length 20 meters and width 14 meters.

Please help ASAP!!! 14 points ):

Answers

y=-3 hopes that helps
y= -3
Since the line only stays on -3

What proportional segment lengths verify that QS¯¯¯¯¯∥MN¯¯¯¯¯¯¯ ?

Enter your answers in the boxes.

__    __
1.5=

Answers

Answer: The proportion that can be written is 9 over 1.5 equals 12 over 2.

If you look in the diagram, you will see that they 1.5 is right below the 9 and the 2 is right below the 12.

If you put those values in a proportion, you can cross multiply and divide to see that they are in proportion. Since they are in proportion, the two lines are also parallel.

the proportional segments for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

Given:

In the given diagram , QS is parallel to MN

when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion

From the given the sides are in proportion

[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]

so the answer for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

learn more :  brainly.com/question/14680007

HELP ASAP PLZ
what values of a, b, and c would you use in the quadratic formula for the following equation? 5x^2+9x=4

1. a=-4,b=9,c=5
2.a=5,b=9,c=-4
3.a=5,b=-4,c=9
4.a=5,b=9,c=4

Answers

2. 

a = 5, b = 9, c = -4

This is because the equation should be equal to zero before finding the terms. 

The standard form is given by :

[tex] ax^{2} +bx +c=0 [/tex]

So we have to convert given equation in this form by bringing all terms to one side and making 0 on the other side.

[tex] 5x^{2} +9x=4 [/tex]

Now we have to bring 4 to the left side,

subtracting 4 on the left,

[tex] 5x^{2} +9x-4=0 [/tex]

Comparing our equation with standard form,

Answer : a=5, b=9 and c=-4 ( second option is right )

Say you own 316 shares of Esti Transport stock, which offers an annual dividend of $8.16 per share. How much will you receive in quarterly dividends?

Answers

Answer:

$644.64

Step-by-step explanation:

Total shares=316

Annual Dividend on 1 share =$8.16

Annual Dividend on 316 shares=$8.16*316

=$2578.56

As there are four quarters in a year, the total annual dividend will be divided by 4 to get the quarterly dividend.  

Quarterly Dividend for 316 shares=  2578.56/4

=$644.64

Answer:

the answer is c

Step-by-step explanation:

word problems ANSWER ASAP

"In still water, Derek can paddle his canoe at 6.5 km/h. On a river, the canoe travels faster downstream than upstream because of the current. In the morning Derek travels upstream and takes 5 hours and then in the afternoon Derek travels downstream the same distance and takes 2 hours. What is the speed of the current? Answer to the nearest tenth."

P L E A S E H E L P

Answers

Let the speed of current be x km/ hr 
Upsetram  = ( 6.5 -x) km/ hr
Downstram = ( 6.5 + x) km/ hr 
Distance = Speed x Time 

5 ( 6.5-x) = 2 ( 6.5+x) 
32.5 -5x =13 +2x 
7x = 19.5 
x =2.7857142 km/ hr 
ANSWER: 2.79 km/ hr

Which statements are true about the number of employees?

Answers

Hey! The answers are B & C
The 2nd and 3rd choices are the only correct ones.

____
The rate of increase slows once there are more than 250 employees. (The nature of a "logistic function" such as this is that it is (approximately) exponentially increasing until half the "carrying capacity" of the resource, then is exponentially decreasing as it approaches the limit.)

When x=0, you have 500/(1 +19) = 25. The initial value is 25, not 20.

Please help asap. Means a lot <3

Answers

I suck horribly at math, but I really want to help you, and I think the answer is C or B, if im wrong please let me know, I hope very much im right for your sake :) :(

Math) The school principal wants to know whether the students in the entire school prefer football or basketball. The principal draws a random sample from the following groups: All school teachers All girls in each grade All students in each grade All students on the basketball team Which of the following groups best represents the population she should take a random sample from to get the best results for her survey? All school teachers All girls in each grade All students in each grade All students

Answers

All students in each grade

Solve for this equation for x round your number to the nearest hundredth 0.98=log x

Answers

Final answer:

To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.

Explanation:

To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.

To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:

x = 100.98

Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).

The result is that x is approximately 95.50 when rounded to the nearest hundredth.

Twenty-four students took a test. Fourteen students earned an A and 10 students earned a
b.A student will be randomly chosen.What is the probability that the student earned an A on the last test? Enter your answer as a fraction , in simplest form , in the box .

Answers

Total number of students who did a test was 24
Number of students who scored an A is 14
Number of students who scored a B is 10
Probability that when we randomly select a student, he/she will have an A is:
(Number of students that scored A)/(Total number of students)
=14/24
=7/12
Therefore our answer is 7/12

If 300 cubes can fit in the rectangular prism below what is the edge length of each cube

Answers

 your answer will be

answer: 1/4 in.

Answer:

Basic common sense just by looking at the dimensions

Step-by-step explanation:

...

A. 1/64in

B. 7/400in

C. 1/4in

D.4 11/16

PLZ HELP ME WITH THIS
ASAP

BLANK 1 : right, down, left , up
BLANK 2: up, right , left , down
BLANK 3: 2, 6, 9,-1
BLANK 4: -1, -8, 2, -5
Thx

Answers

It's shifted left 2 units and down 5 units.

To find the point on the graph of g, we use the horizontal shift for the x-coordinate 4 to get 4–2=2, and the vertical shift for the y-coordinate –3 to get –3–5=–8.


Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from A) 4
b) square Root of 18
C) 8
D) Square root of 68

Answers

we know that
the median is the segment that joins each vertex with the midpoint of the opposite side

using a graph tool
see the attached figure

Step 1
Find the midpoint segment BC
B(4, –1), and C(–2, –9)

Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)

the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units

the answer is 13.89 units


A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions of the piece of plastic? millimeters by millimeters

Answers

Final answer:

The dimensions of the rectangular piece of plastic are either 2mm by 5mm or 5mm by 2mm, based on the given area and perimeter.

Explanation:

We'll use the formula for the perimeter of a rectangle: 2(length + width) = perimeter and the formula for area: length x width = area. Given we have area of 10mm2 and perimeter of 22mm, we can set up two equations. Let's denote the length as 'L' and the width as 'W'.

Formula of perimeter of a rectangle: 2(L + W) = 22

Formula of area of a rectangle: L * W = 10.

We solve these two equations simultaneously. We get two possible solutions: Dimensions could be either {2mm, 5mm} or {5mm, 2mm}. Either the length is 5mm and the width is 2mm, or the length is 2mm and the width is 5mm.

Learn more about Rectangle Dimensions here:

https://brainly.com/question/31677552

#SPJ12

I Will make you the BRAINLIEST!!!!pls answer:a movie Angelo brought a medium popcorn for $4 and a small drink for $3 and a box of fruit snacks for $5 write and solve a subtraction equation to find how much money Angela gave the cashier if you received $3 in change.

Answers

T=4+5+3+3

T=15

Total cash given = $15
3= x-12.    

x=15 because all the money spent together equals 12 dollars and if he gets 3 dollars back you would add 12+3 to get x

What is measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

What is measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Both questions use the same pic

Answers

Given is a Right triangle PQR with angle Q = 90 degrees.

Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.

Side PR is the hypotenuse.

We can use formula for "sin" given as follows :-

[tex] sin(\theta)=\frac{Opposite}{Hypotenuse} [/tex]

For angle R, opposite side would be PQ.

[tex] sin(R)=\frac{PQ}{PR} \\\\
sin(R)=\frac{8}{17} \\\\
sin(R)=0.470588235 \\\\
R=sin^{-1}(0.470588235) \\\\
R = 28.07248694 \;\;degrees \approx 28.07 \;degrees [/tex]

For angle P, opposite side would be QR.

[tex] sin(P)=\frac{QR}{PR} \\\\
sin(P)=\frac{15}{17} \\\\
sin(P)=0.882352941 \\\\
P=sin^{-1}(0.882352941) \\\\
P = 61.92751306 \;\;degrees \approx 61.93 \;degrees [/tex]

Hence, R = 28.07 degrees and P = 61.93 degrees.

To solve the problem we must know about Trigonometric functions.

Trigonometric functions

[tex]\rm {Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\rm {Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\rm {tan\theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The value of the ∠R is 28.0724°.The value of the ∠P is 61.9275°.

Given to usPR = 17 cmQR = 15 cmPQ = 8 cm

1. For ∠R

For ∠R, the opposite side will be PR, therefore, PR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle R)=\dfrac{PQ}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle R)=\dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=Sin^{-1} \dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=28.0724^o [/tex]

Hence, the value of the ∠R is 28.0724°.

2. For ∠P

For ∠P, the opposite side will be QR, therefore, QR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle P)=\dfrac{QR}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle P)=\dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle P)=Sin^{-1} \dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle R)=61.9275^o [/tex]

Hence, the value of the ∠P is 61.9275°.

Learn more about Sine function:

https://brainly.com/question/6826226

I got no idea on this! Please help!! 20 points.

Answers

The perimeter is the sum of all sides. Start by listing out what the sides are given to be. Assign a variable to anything unknown.

1st side = x
2nd side = y
3rd side = z

Given: 1st side is 5 less than 2nd side.
x = y - 5

Given: 3rd side is 2 less that 1st side. But we want everything in only one variable to solve. So use the first given 1st side = y - 5
z = y - 5 - 2
z = y - 7


Sum of sides
(y - 5) + y + ( y - 7) = 42

3y - 12 = 42
3y = 42 + 12
3y = 54
y = 54/3
y = 18

Remember the sides, We have 
1st, x = y - 5
= 18 - 5
= 13

2nd, y = y
= 18

3rd, z = y - 7
= 18 - 7
= 11

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