Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.
17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
x = 17/5
Step-by-step explanation:
17+2+6x = x-15 +5x
19+6x =16x -15
19+15 = 16x-6x
34 = 10x
34/10= 10x/10
17/5 = x
x = 17/5 or 3 2/3
Of the eighth graders at the Paxton School, 14 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer.
How many played one or more of the three sports?
6 kids played one or more of the 3 sports
Mofor had $21 to spend on two notebooks.
After buying them he had $13. How much
did each notebook cost?
Two-step equations
Step-by-step explanation:
21-13=8
8÷2=4
A note book costs 4$
Answer:
the unit price of the notebooks: $4
Step-by-step explanation:
Mo starts with $21 and finds himself left with $13 after buying the notebooks. Subtracting $13 from $21 results in $8, the amount he spent on two notebooks. Dividing $8 by 2 yields the unit price of the notebooks: $4
Is there anyone that can please help me out with this question as soon as possible?
Answer:
1. -3 × Equation [A1] --> Equation [B1]
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
Step-by-step explanation:
There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:
1. -3 × Equation [A1] --> Equation [B1]
6x × -3 = -18x
-7y × -3 = 21y
14 × -3 = -42
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
(4x × 7) + -18x = 28x - 18x = 10x
(-3y × 7) + 21y = -21y + 21y = 0y
(-4 × 7) + -42 = -28 - 42 = -70
I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.
when is a number divisible by 6?
6-4x=12+2x
Solve for x
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answer:
first 45-6=36 and 36×6=216 the answer is 216
Anyone that can answer it right gets 30!
Answer:
First
Step-by-step explanation:
1.
[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]
[tex]5 + 3^2 = 5 + 9 = 14[/tex]
2.
[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]
[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]
3.
[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]
[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]
4.
[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]
[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)
Answer:
a f
Step-by-step explanation:
(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the points lie on a line that passes through the origin with a slope of −2/5
The line passes through (0, 0) and (x, y) form a slope of -2/5
-2/5=y/x
So y is 2 and x is 5.
Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
help! giving brainliest!!!
Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).
Step-by-step explanation:
(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me
Answer:
Step-by-step explanation:
this equals 0.03
Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
Answer:
Percentage Calculator: 100. is what percent of 500.? = 20.
Step-by-step explanation:
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answer: it takes 1/5 revolutions per foot and the slope is 5
Step-by-step explanation:
Did I do 11,7 right ?
Answer:
Yes
Step-by-step explanation:
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice.
Answer:
45
Step-by-step explanation:
15+15+15=45
that would increase her practice time by 45 minutes
Evaluate the expression 8+-9
Answer:
8+-9=-1
Step-by-step explanation:
evaluated
Answer:
8+(-9)=8-9=-1
Step-by-step explanation:
to get -9 you multiply -×+ which is -
Calculate the length of the circumference inscribed in the ABCD trapezium using the data shown in the figure
i need help :(
From the given figure,
Subtracting AB and DC, so,
[tex]6 - 3 = 3 \: cm[/tex]
As we know that :-
[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]
[tex]→d = 4 π cm[/tex]
Since:-
[tex]c = πd[/tex]
[tex]c = 4πd[/tex]
So, Answer is 4 π d
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?
Answer:
yes 198
Step-by-step explanation:
PLEASE HELP ME!!
use the correct form of ser and use a pronoun
Gabriela _____ mi hermana
Answer:Gabriela es mi hermana
Step-by-step explanation:
The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.
Answer:
I think it's -28/-12
Step-by-step explanation:
y-y/x-x
How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?
Answer:
30x t 78
Step-by-step explanation:
The radius of a circle measures 10 yards what is the circumference of the circle
Answer:
62.8 yards
Step-by-step explanation:
The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.
Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one
Answer:
x=-1/7
Step-by-step explanation:
5x+15=-2x+14
5x+2x=14-15
7x=-1
x=-1/7
Step-by-step explanation:
5(x+3) = -2(x-7)
5x + 15 = -2x + 14
7x = -1
x = -1/7
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
What number should be subtracted to -2/3 to get -1/6
Pls answer thissss
Answer:
-1/2
Step-by-step explanation:
2/3 becomes 4/6
4/6 to go to 1/6 is -3/6 or -1/2 (simplified)
Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?
Answer:
Austin: [tex]25[/tex]
Dante: [tex]64[/tex]
Yoko: [tex]16[/tex]
Step-by-step explanation:
Total: [tex]105[/tex]
Austin: [tex]y+9[/tex]
Dante: [tex]4y[/tex]
Yoko: [tex]y[/tex]
Equation:
[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]
Invisible Steps:
Combine like terms: [tex]y+y+4y=6y[/tex]
Subtract 9 from each side: [tex]6y+9-9=6y[/tex]
[tex]105-9=96[/tex]
Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]
[tex]96[/tex] ÷ [tex]6 = 16[/tex]
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9
. She marks up the candles 85%
. How much does Jalisa charge per candle?
Answer:
$16.65
Step-by-step explanation:
To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65
PLease help middle school math 40 points
Answer:
b
Step-by-step explanation:
2/5 * 2x = 4/5
2/5 * 3 = 6/5 = 1 1/5
Answer:
B.
Step-by-step explanation:
Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.
I hope this helps :)