Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
Find the volume of the solid. *
7)
Answer:
B
Step-by-step explanation:
The volume (V) is calculated as
V = area of triangular face × depth
Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 3 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²
Now depth = 2, thus
V = 6 × 2 = 12 Km³ → B
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400.
Write an inequality to determine the number, ttt, of tickets the committee could sell to have money left over after they pay for this year's dance.
Answer:
t > 82
Step-by-step explanation:
First write what we know.
Earned $72
$4 per ticket, t
Cost is $400
So let's write our equation:
The cost is $400 so we put that on the left side,
$400 =
Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.
So we write:
$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.
400 = 4t + 72 Subtract 72 from each side.
400 - 72 = 4t + 72 - 72
328 = 4t Divide each side by 4.
328/4 = 4t/4
328/4 = t
82 = t
If the committee wants money left over they need to sell more than 82 tickets!
Our inequality is:
t > 82
Kari makes headbands as gifts for her friends. In the past year, she has made 5 printed headbands for every 4 solid-colored headbands.
If Kari has made 20 solid-colored headbands in the past year, how many headbands has she made in all?
Answer:
45 headband
Step-by-step explanation:
20:25, so add 20+25 and get 45
"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Answer:
Awnser is C
Step-by-step explanation:
We just have to make the top bar seem bigger then it actually is
Eva bought 9 hanging baskets and 9 Petunias for her flower garden. Each hanging basket cost $5.48 and each Petunia cost $18.50. Eva has $250 to spend on items for her garden. How much money will Eva have left after her purchases?
Answer: Eva has left $ 34.18 after her purchases .
Step-by-step explanation:
Given: Each hanging basket cost $5.48
Cost of 9 hanging basket = 9 x $5.48 = $ 49.32
Each Petunia cost $18.50.
Cost of 9 Petunias = 9 x $18.50
= $ 166.5
Eva has $250 to spend on items for her garden.
Money left = $(250 -(49.32+166.5))
= $ (250 -215.82)
= $ 34.18
Hence, Eva has left $ 34.18 after her purchases .
Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15
How do I solve this equation and check the solutions?
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]
Plot four lines. Each line should pass through the point
on the y-axis and one of the other four points. One is
done for you.
Line
Equation
#1
y = -2+
#2
8
#3
-8
Check My Work
Answer: y= 3/4x +3
X/-4 + Y/3 = 1
Y-6=3/4 (x-4)
3x-4y=-12
Step-by-step explanation:
Just did it cus im cool
The required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4, 3) and (1, -4) respectively.
Given that,
To plot four lines. Each line should pass through the point on the y-axis and one of the other four points.
A line can be defined by the shortest distance between two points is called a line. The standard equation of the line is y = mx +c where c = intercept and m, = slope of the equation.
Here, (-3, -5) , (-4, 3) and (1, -4)
Three lines are to be plotted on the curve which passes through (-3, -5) , (-4, 3), and (1, -4) and at any point on the y-axis,
So the equation are,
y = 5/3x passes through (-3, -5 ) and 0 on y axis
y = -3/4x passes through (-4, 3) and 0 on y axis
y = -4x passes through (1, -4 ) and 0 on y axis
Thus, the required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4, 3) and (1, -4) respectively.
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
FIRST CORRECT ANSWER WILL GET BRAINLIEST
Write the equation in slope-intercept form for the line that has the given slope 5 and y intercept -6
A)y = -6x + 5
B)y + 6x = 5
C)y = -5x + 6
D)y = 5x - 6
Answer:
D
Step-by-step explanation:
D)y = 5x - 6
y=mx+b
where m = slope and b=y-intercept
Hope I helped!
~PumpkinSpice1
Show how you would simplify the following expressions. Show your work.
Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6
Step-by-step explanation:
x= -2,
(x - 5) / 2= -6
( (-2) - 5) / 2= -6
(-7) / 2 = -6
-3.5 = - 6
right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.
x=2,
(x - 5) / 2= -6
(2 - 5) / 2= -6
(-3) / 2= -6
-1.5 = - 6
right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.
x= -17
(x - 5) / 2= -6
( ( -17) - 5) / 2= -6
(- 22) / 2= -6
-11 = -6
right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.
x= -7,
(x - 5) / 2= -6
( ( -7) -5) / 2= -6
(-12) / 2= -6
-6= -6
right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.
There are 14 boys and 35 girls on a class. What is the ratio of boys to girls in the class?
Answer:
14:35
Step-by-step explanation:
Answer:
14:49 boys 35:49 girls
Step-by-step explanation:
35+14=49
Can someone check my work?
Answer:
you're correct! :)
Step-by-step explanation:
Yes it is correct dear.
Now you can make it on a graph by the solutions of the equation.
For the value of x,
[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]
And for value of y,
[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]
What is 2373.84 rounded to the nearest hundredth
Answer:
2400 ( if it the HundredTHS place Then it will just be 2373.84 because there is no thousandths place :P )
Step-by-step explanation:
Guys plz help me answer this!!!
Answer:
f=7
Step-by-step explanation:
1. distribute 4 too .5 and .25
2. subtract the f from each side
3.combine like terms
this leaves you with f=6+1 which is 7
Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Please show work and explain
Solution: (20,10) Tommy bought 20 apples and 10 oranges.
Step-by-step explanation:
x+y=30: y=30-x
3x+4y=100
3x+4(30-x)=100
3x+120-4x=100
-1x +120=100
-120 -120
-1x=-20
/-1 -1
x= 20
20+y= 30
-20 -20
y=10
20+10=30
You solve this equation using substitution
Calculate the value for each determinant:
Calculate the value for each determinant:
Can any of you help out!!!?
Answer:
Step-by-step explanation:
[tex]\begin{vmatrix}3 & -1\\ -3 & 4\end{vmatrix}=(3\times 4)-(-1)\times (-3)[/tex]
= 12 - 3
= 9
[tex]\begin{vmatrix}8 & -1\\ -4 & -1\end{vmatrix}=8\times(-1)-(-1)\times(-4)[/tex]
= -8 - 4
= -12
[tex]\begin{vmatrix}-12 & -1\\ 12 & 5\end{vmatrix}=(-12)\times(5)-(-1)\times(12)[/tex]
= -60 + 12
= -48
[tex]\begin{vmatrix}2 & -1\\ 2 & -1\end{vmatrix}=2\times(-1)-(2)\times(-1)[/tex]
= -2 + 2
= 0
[tex]\begin{vmatrix}0 & -1\\ 17 & 4\end{vmatrix}=0\times(4)-(-1)\times(17)[/tex]
= 17
[tex]\begin{vmatrix}1 & 0\\ 0 & 1\end{vmatrix}=1\times(1)-(0)\times(0)[/tex]
= 1
Answer:
credit to top guy
this is for visual help
Step-by-step explanation:
Fifty less than three times a number is -20. Find the number.
Answer:
10
Step-by-step explanation:
assigning variable x to the unknow number
3x - 50 = -20
3x = 30
x = 10
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
Multiply. Answer with a mixed number in simplest form.
5 x 2 1/4
Answer:
The correct answer should be 11[tex]\frac{1\\}{4}[/tex]
Step-by-step explanation:
Let me know if this is wrong and I will correct it if it is.
Solve the equation -4/x - 1 = 7/2 - x + 3/x + 1
Answer:
x=6.566084 or x=−1.066084
Step-by-step explanation:
Let's solve your equation step-by-step.
−4
x
−1=
7
2
−x+
3
x
+1
−4
x
+−1=
7
2
+−x+
3
x
+1
Multiply all terms by x and cancel:
−4+−1x=
7x
2
+(−x)(x)+3+1x
−x−4=−x2+
9
2
x+3(Simplify both sides of the equation)
−x−4−(−x2+
9
2
x+3)=−x2+
9
2
x+3−(−x2+
9
2
x+3)(Subtract -x^2+9/2x+3 from both sides)
x2+
−11
2
x−7=0
For this equation: a=1, b=-5.5, c=-7
1x2+−5.5x+−7=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-5.5, c=-7)
x=
−(−5.5)±√(−5.5)2−4(1)(−7)
2(1)
x=
5.5±√58.25
2
x=6.566084380618436,−1.0660843806184368
Check answers. (Plug them in to make sure they work.)
x=6.566084(Works in original equation)
x=−1.066084(Works in original equation)
Answer:
x=6.566084 or x=−1.066084
-5x + y = -3 and –x - 5y = - 11 by substitution
Answer:
x = 1, y = 2
Step-by-step explanation:
-5x + y = -3, we get y = 5x - 3.
Then plugs into the second equation, we get
-x - 5 (5x-3) = -11.
-x - 25x + 15 = -11,
-26x = -26
x = 1,
plugs x = 1 to y = 5x - 3, we get y = 2.
Answer:
Required Answer:--5x+y=-3---------------(1)-x-5y=-11----------------(2)From eq (1)
[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]
Substitute the value in eq (2)[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]
[tex]\therefore[/tex](x,y)=(1,2)
The measures of the angles of a triangle are shown in the figure below
Answer:
they very much are there
Step-by-step explanation:
Answer:
37.5 degrees
Step-by-step explanation:
All triangle angles must sum up to 180 degrees
63 + 90 = 153
153 = 4x + 3
150 = 4x
37.5 = x
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
Olivia is going to an amusement park. The price of admission into the park is $40, and once she is inside the park, she will have to pay $4 for every ride she rides on. How much money would Olivia have to pay in total if she goes on 13 rides? How much would she have to pay if she goes on r rides?
A study conducted by the Center for Disease Control that asked 15,000 students about
their sleep habits showed that about 73% of high school students did not get the
required 8 hours of sleep per night. Let p be the proportion of high school students who
do not get 8 hours of sleep daily.
What is the sampling distribution of p?
Answer:
The sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
The study was conducted using the data from 15,000 students.
Since the sample size is so large, i.e. n = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.
So, the sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].
A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators
Given the points A(-l , 2) an d B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3
Answer:
ethiopia
Step-by-step explanation:ethiopia ethiopia ethipoia
please tell me the answer
Answer:
-3, 1, 5
Step-by-step explanation:
BRAINLIEST AND 100 POINTS BRAINLIEST TO THE FIRST CORRECT ANSWER!
-4x6/7x-5/3 put your answer in simpliest form
Answer:
5 5/7
Step-by-step explanation:
-4*6/7*-5/3
We can multiply the numerators
-4 * 6*-5 = 120
We can multiply the denominators
7*3 =21
Put the numerator over the denominator
120/21
The top and bottom are both divisible by 3
120/3 = 40
21/3 =7
The new improper fraction is 40 /7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7