-4x - 20
Step-by-step explanation:
-1/2 (32x - 40) + ( 20x - 40)
open the bracket
-1/2 × 32x = -16x
-1/2 × -40 = 20
.
. . -16x + 20 +20x - 40
collect like term
-16x + 20x + 20 - 40
4x - 20
simplify = 4(x-5)
Gwen is bicycling down a path at a constant speed of 15 miles per hour.
How long does it take her to travel 40 miles?
Answer:
Step-by-step explanation:
156 minutes
2 hours 36 minutes is how long it take Gwen!
A married couple buys 280 shares of stock for a total investment of $8,722. They decide to sell all of their shares in the fund at the listing value shown below. Name of Fund Offer Price NAV $31.05 CEH Mid-Cap $31.20 Determine if the couple makes a profit or loss, and how much per share. a. loss of $0.05 per share b. loss of $0.10 per share c. profit of $0.05 per share d. profit of $0.10 per share
The couple will make a loss of $0.10 per share.
What is the loss per share?
In order to determine the loss per share, the average total investment would be subtracted from the NAV. If the NAV is greater than the average total investment, the couple make a profit, if this is not the case, the couple would make a loss.
Average total investment = $8722 / 280 = $31.15
Loss = $31.05 - $31.15 = $-0.10
To learn more about profit, please check: https://brainly.com/question/1494270
Answer:
loss of $0.10 per share
Step-by-step explanation:
EDGE 2020
What is the rational number equivalent to 3 point 12 with a bar over 12?
Answer:
3 4/33
Step-by-step explanation:
(2x + 3)(x – 5) + 7 = ax² + bx + c What is the value of a, b, and c?
Answer:
a = 2 , b = - 7 , c = - 8
Step-by-step explanation:
expand and simplify the left side then compare the coefficients of like terms on both sides.
(2x + 3)(x - 5) + 7 ← expand factors using FOIL
= 2x² - 10x + 3x - 15 + 7 ← collect like terms
= 2x² - 7x - 8
compare to ax² + bx + c , then
a = 2, b = - 7 , c = - 8
The sum of the measures of the angles below is 180*
Answer:
x = 45
(2x-10) = 80
x+10 = 55
Step-by-step explanation:
so, make an equation to find x:
x+2x-10+x+10 = 180
collect like terms
4x = 180 (divide both sides by 4)
x = 45
sub into the formulas:
x- 10 = 45+10 = 55
2 × 45 - 10 = 80
add them together to see if it is correct:
45 + 55 + 80 = 180
Hi is this C, D or other? Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The pair having like terms is ' A '
It has both terms of x, I.e 20x and 0.8x
7. How many solutions are there to this equation?
7x - 3(x - 1) = 2(2x + 3)
A
no solution
B
exactly one solution
C
at least two solutions
D
infinitely many solutions
Answer: A) no solution
Step-by-step explanation:
1) 7x-3x+3=4x+6
2) 4x+3=4x+6
3) 3 is not equal to 6, so no solution
There is no solution of the given equation.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation is;
7x - 3 (x - 1) = 2(2x + 3)
Now, Solve the equation for x as;
7x - 3(x - 1) = 2(2x + 3)
7x - 3x + 3 = 4x + 6
4x + 3 = 4x + 6
Subtract 4x both side;
3 = 6
Clearly, 3 is not equal to 6.
So, There is no solution of the equation.
Learn more about the equation visit:
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Kara found two websites that she could use to download songs.
The first website charges a one-time membership fee of $5 and $0.99 per song.
The second website has a one-time membership fee of $10. In addition, the second website charges $0.89 per song.
Which equation could be used to determine how many downloaded songs, d, must be purchased for the cost at the two websites to be the same?
A. 5d + 0.99 = 10d + 0.89
A. , 5d + 0.99 = 10d + 0.89
B. 5+ 0.89d = 10 + 0.99d
B. , 5+ 0.89d = 10 + 0.99d
C. 5 + 0.99d = 10 + 0.89d
C. , 5 + 0.99d = 10 + 0.89d
D. 5d + 0.89 = 10d + 0.99
Answer:
c
Step-by-step explanation:
Maria is 19 years old. Her age is 4 more than 3 times some number, x.
Answer: x = 5
Step-by-step explanation:
We can set up an equation to solve for x:
3x + 4 = 19
We can subtract 4 from both sides:
3x = 15
We can divide both sides by 3:
x = 5
Please help!!!!!!!!!
How many ounces are in 14 pounds
Answer: 224 ounces are in 14 pounds
Step-by-step explanation:
1 pound = 16 ounces
*14 *14
14 pounds = 224 ounces
a cylinder has a height of 16 feet and a diameter of 22 feet. what is its volume?
Question :-
A Cylinder has a Height of 16 Feet and a Diameter of 22 Feet . What is its Volume ?Answer :-
Volume of Cylinder is 6084.5 Feet ³.Explanation :-
As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .
For calculating the Volume , first we need to find Radius of Cylinder .
Here, we will find the Radius :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Radius \: = \: \dfrac{Diameter}{2} \: }} [/tex]
[tex] \longmapsto \: \: \sf { Radius \: = \: \dfrac{ \: 22 \: }{2} \: } [/tex]
[tex] \longmapsto \: \: \bf { Radius \: = \: 11 \: Feet } [/tex]
Now, we will find Volume of Cylinder :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: ({11})^{2} \: \times \: 16 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 121 \: \times \: 16 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 1936 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22 \: \times \: 1936}{7}} \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{ \: 42592 \:}{7}} \\ [/tex]
[tex] \longmapsto \: \: \bf {Volume \: _{Cylinder} \: = \: 6084.5 \: Feet^{3}} [/tex]
[tex] \underline {\rule {180pt} {4pt}} [/tex]
Formula Used :-
[tex] \Longrightarrow \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]
Where ,
R denotes to the RadiusH denotes to the HeightThe volume of the given cylinder.
Solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {11}^{2} \times 16[/tex]
[tex]v = 6082.12338 \: {ft}^{3} [/tex]
[tex]v = 6082.12 \: {ft}^{3} (2 \: dp)[/tex]
Therefore, the volume of the given cylinder is 6082.12 cubic feets.
Can someone help me find the volume of this shape?
Answer:
18
Step-by-step explanation:
To find volume you have to use the formula (length x width x height.)
So by looking at it you can see that it's 3 units long, 3 units in wide, and 2 units tall. Knowing that, you then plug in those numbers to the formula. That would be 3x3x2. Any calculator will work.
HELPPP 50pts!!!
the next model of a sports car will cost 11.2% less than the current model. the current model costs $48,000. how much will the price decrease in dollars? what will be the price of the next model?
Decrease in price: $?
Price of model: $?
Answer:
final price $42,624
price decrease $5376
Step-by-step explanation:
multiply 11.2 percent by 48000 and then get the answer from that and subtract from total
Decrease:-
[tex]\\ \rm\Rrightarrow 0.112(48000)[/tex]
[tex]\\ \rm\Rrightarrow 5376\$[/tex]
New price:-
[tex]\\ \rm\Rrightarrow 48000-5376[/tex]
[tex]\\ \rm\Rrightarrow 42624\$[/tex]
I’ll mark brainlest if you help with this question please!
Answer:
[tex]solve for x\\\\x=\frac{5}{11}[/tex]
[tex]factor\\(x-5)x(x-7)[/tex]
Step-by-step explanation:
[tex]solve for x\\15=\frac{5}{x}+4\\ -\frac{5}{x}=4-15\\-\frac{5}{x} =-11\\\frac{11x}{11} =\frac{5}{11} \\x=\frac{5}{11}[/tex]
[tex]factor\\x^{2} -12x+35\\x^{2} -5x-7x+35\\x(x-5)-7(5-x) \\ (x-5)*(x-7)[/tex]
#14. Using the information from question #14, if you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.)
#15 Using the information from question #14, if you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.)
To save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.
What is an emergency fund?An emergency fund is a safety net used specifically to cover basic living expenses for at least 6 months in case future mishaps or unexpected expenses arise.
Financial experts generally recommend six months of basic living (fixed) expenses to put away in an emergency fund.
Data and Calculations:The amount to save in the emergency fund = $3,753.79 ($2,085.44 x 30% x 6)
50% of discretionary monies = $729.90 ($2,085.44 x 1 - 30%) x 50%
Months to save $3,753.79 saving $729.90 = 5 months ($3,753.79/$729.90)
Question Completion:Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund.
How many months will it take to fully fund it, excluding interest accrual?
Thus, o save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.
Learn more about discretionary expenses and emergency funds at https://brainly.com/question/422550
Answer:
To calculate this, we first need to find the amount of discretionary money left after paying fixed expenses:
Discretionary money = Realized income - (Fixed expenses as a percentage of realized income)
Discretionary money = $2,085.44 - (30% x $2,085.44)
Discretionary money = $2,085.44 - $625.63
Discretionary money = $1,459.81
We want to put 50% of this toward the emergency fund each month, so:
Emergency fund contribution per month = 50% x $1,459.81
Emergency fund contribution per month = $729.91
To find out how many months it will take to fully fund the emergency fund, we divide the total amount needed by the monthly contribution:
Number of months = (Total amount needed) / (Emergency fund contribution per month)
Number of months = $18,292.65 / $729.91
Number of months = 25.06
Rounded up to the nearest whole month, it will take 26 months to fully fund the emergency fund.
Therefore, the answer is:
26 months
3
Create a linear equation in the slope-intercept fo
form that contains points (2,-8) and (6,-4).
Answer:
y = x - 10
Step-by-step explanation:
slope - intercept form: y = mx + b
y2 - y1 -4 - ( -8 ) 4
--------- = ------------- = -------- = 1
x2 - x1 6 - 2 4
---------------------------------------------------------
y = mx + b
y = 1x + b
pick whichever point you want to use, for this I'll use (2, -8)
-8 = 1( 2) + b
-8 = 2 + b
-2 -2
-10 = b
y = 1x - 10 or y = x - 10
I hope this helps!
Review the table of values for function f(x).
Which number is the value of f1(-2)?
Answer:
D) 1
Step-by-step explanation:
took on edge
Answer:
D-1
Step-by-step explanation:
Ed2021
GUYS ANSWER THIS PLSSS
The earth is approximately 8.0 times 10^3 miles in diameter, from pole to pole. What number is the distance equivalent to?
Answer:
8,000
Step-by-step explanation:
8 x 10 x 10 x 10
8 x 1,000
8,000
Hope that helps!
Please can I have help with these questions
The lateral edge of a square prism is 30 cm long and it is inclined at an
angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,
1. what is the base edge?
2. What is the lateral area of the prism?
3. What is the total area of the square prism?
Answer:
1
[tex]B = 7.07 \ cm[/tex]
2
[tex]A =848.4 cm^2 [/tex]
3
[tex]A_T = 948.37 \ cm^2 [/tex]
Step-by-step explanation:
From the question we are told that
The lateral edge of a square prism is [tex]d = 30 \ cm = 0.3 \ m[/tex]
The angle of inclination is [tex]\theta = 70^o[/tex]
The volume of the prism is [tex]V = 1500\ cm^3[/tex]
Generally the base of the prism is mathematically represented as
[tex]B = \sqrt{\frac{V}{ d} }[/tex]
=> [tex]B = \sqrt{\frac{1500}{ 30} }[/tex]
=> [tex]B = 7.07 \ cm[/tex]
Generally the lateral area of the prism is mathematically represented as
[tex]A = 4 * B * d[/tex]
=> [tex]A = 4 * 7.07 * 30 [/tex]
=> [tex]A =848.4 cm^2 [/tex]
Generally the total area of the prism is mathematically represented as
[tex]A_T = 2 * B + A[/tex]
=> [tex]A_T = 2 * (7.07) + 848.4[/tex]
=> [tex]A_T = 948.37 \ cm^2 [/tex]
2x^4-5x^3+x^2+3x+2 for: x=-5
Answer:
If you look it up it should be there
Step-by-step explanation:
google :\
I WILL GIVE BRAINLISTTTT
Answer: C
Step-by-step explanation:
What’s is the fraction in simplest form ? Of 9/12
Answer:
3/4
Step-by-step explanation:
The smallest number that makes 9 is three the smallest number that makes 12 is 4 because it cant go below 3
Answer:
3/4
Step-by-step explanation:
Both numbers can be divided by three.
9 divided by 3 is 3 and since the 9 was the numerator the three becomes your new numerator.
12 divided by 3 is 4 and since 12 was the denominator the four becomes your new denominator.
Hope this helps! Good Luck!
5
the square root of 55
7
the square root of 32
Answer:
the square root of 55, or 7.42
Step-by-step explanation:
Use the Pythagorean Theorem, or a²+b²=c², where a and b are the sides or "legs" of the triangle and c is the hypotenuse.
a is 3, b is x, and c is 9
If you plug that into the equation, you get 3²+x²=8²
We can make this 9+x=64 by squaring the 3 and 8.
Then we can subtract 9 from each side to get x=55.
Finally, take the square root of 55 to get √55 or 7.42.
I hope this helped!
what is the greatest common factor of 30 and 48
Answer:
6
Step-by-step explanation:
Answer:
The answer is 6.
Step-by-step explanation:
5x6=30, and 8x6=48. Hope this helps!
Bailey Checks her time records to see how fast she runs each day. On Tuesday, She Ran 3 3/4 Miles. On Friday, she ran 7 2/8 miles. How many more Miles did she run on Friday than Tuesday?
Step-by-step explanation:
I guess, she is checking how FAR she runs each day (and not how fast ...).
how many more miles did she run on Friday ?
we get this by calculating the difference between the 2 values. that is what subtraction is for.
7 2/8 - 3 3/4
as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.
7 2/8 - 3 3/4 = 4 2/8 - 3/4
now we convert both numbers to full fractions :
4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4
and then we bring both fractions to the same denominator, in this case 1/8 :
34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8
now we can simplify
28/8 = 7/2 = 3 1/2
so, she ran 3 1/2 miles more in Friday than on Tuesday.
FYI
I just wanted to show you the full formal flow of such a calculation.
but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :
7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2
The length of a square is 4y + 7. What is the perimeter of the square?
Answer:
Step-by-step explanation:
Perimeter of a square = 4 * Length of the square
Given
Length of a square = 4y + 7
Perimeter of the square = 4(4y+7)
Open the parenthesis
Perimeter of the square = 4(4y)+4(7)
Perimeter of the square = 16y + 28
Hence the perimeter of the square is 16y+28
h(x)=-5x+3 , find h(5)
Answer:
-22
Step-by-step explanation:
h(5)=-5•5+3
h(5)=-25+3
h(5)=-22
Answer:
-22
Step-by-step explanation:
Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22
-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination
-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!