Answer:
Yew, he has enough money to buy the guitar in september.
Step-by-step explanation:
300*0.75=225 300+225=525
650*0.35=195 650-195=455
sales tax: 455*0.05=22.75 455+22.75=477.75
Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the guitar be = $ 650
Let the initial savings of Arnold be = $ 300
Now , Arnold saved 75 % more than what he actually had
And , the equation will be
So , the new savings of Arnold is = 300 + ( 75/100 ) x 300
The new savings of Arnold is = 300 + ( 300 x 0.75 )
The new savings of Arnold is = 300 + 225
The new savings of Arnold is = $ 525
Now , the price of the guitar is discounted by = 30 %
And , the equation will be
So , the new price of the guitar after discount is = 650 - ( 30/100 ) x 650
The new price of the guitar after discount is = 650 - ( 650 x 0.30 )
The new price of the guitar after discount is = 650 - 195
The new price of the guitar after discount is = $ 455
Now , A sales tax of 5 % is priced on the guitar
And , the equation will be
So , the sale price of the guitar is = 455 + ( 5/100 ) x 455
The sale price of the guitar is = 455 + 22.75
The sale price of the guitar is = $ 477.75
Now , the new savings of Arnold is greater than the sale price of the guitar
$ 525 > $ 477.75
Therefore , Arnold have enough savings to buy the guitar
Hence , Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
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solve for 2(x−3)<6 equation
Answer:
x < 6
Step-by-step explanation:
Distribute the 2 to the parentheses:
2(x − 3) < 6
2x - 6 < 6
Solve for x:
2x < 12
x < 6
So, x < 6 is the answer.
I REALLY NEED HELP!! PLEASE CAN SOMEONE HELP ME?
Answer:
The Super Sleuths did not find all 100 ounces of gold, they only found 92 2/3 ounces, so they have 7 1/3 more ounces of gold to find left.
Step-by-step explanation:
Pirate hid 100 ounces of gold.
1. 19 1/2 ounces of gold was found.
2. 26 2/3 more ounces of gold was found.
3. 5 1/6 more ounces of gold was found.
4. 48 1/3 more ounces of gold was found.
First, we need to add up all of the ounces of gold that was found.
12 1/2 + 26 2/3 = 39 1/6
5 1/6 + 48 1/3 = 53 1/2
53 1/2 + 39 1/6 = 92 2/3
100 - 92 2/3 = 7 1/3
Help me please !!!!!!
Answer:
z = -44
Step-by-step explanation:
3/4 (x - 8) = 4
3(x - 8) = 16
3x - 24 = 16
3x = 40
x = 40/3
4 - 2x = -5x - z
4 = -3x - z
z = -3x - 4
z = -3(40/3) - 4
z = -40 - 4
z = -44
Answer:
Z=-44
Step-by-step explanation:
To figure out z. we have to figure out x first
So
3/4(x-8)=4
x-8=4÷3/4
x-8=4×4/3
x-8=16/3
3x-24=16
3x=16+24
3x=40
x=40/3
Now
4-2(40/3)=-5(40/3)-z
4-80/3=-200/3-z
z-68/3=-200/3
z=-200/3+68/3
z=-44
can someone pls help me with this? i’d really appreciate it :)
Answer:
y = 2x - 12 or A
Step-by-step explanation:
6x - 3y = 36 Subtract 6x from both sides.
-3y = 36 - 6x Divide by - 3
-3y/-3 = 36/-3 - 6x/-3
y = -12 + 2x
The answer is A
data collected showes that the more you water the larger your plant will grow if you use the following equation y=1/2×+2 how tall will a plant be at 25 weeks if x is the number of weeks waterd andby represents rhe height of the plant
SOMEONE PLEASE HELP DONT SKIP NO ONE EVERY HELPS ME AND MY GRADE DEPENDS ON THIS PLSSSSS
Let u= (5, -12) and c= -3. What is || cu ||?
A- -39
B- 39
C- 21
D- 51
Answer:
Step-by-step explanation:
21 I think
Answer:
it's B-39
Step-by-step explanation:
I saw someone else with a gr at explanation and they were correct
Simplify the expression.
. [tex]$8x-5+2x$[/tex]
Answer:
[tex]10x - 5[/tex]
Step-by-step explanation:
Combine like terms
Jordan is makinga garden
with an area of x^2 2+13x+
30 square feet and a length
of x +3 feet. Find an
expression for the width of
Jordan's garden
Answer:
( x + 10 )
Step-by-step explanation:
→ Divide x² + 13x + 30 by x + 3
( x + 3 ) ( x + 10 )
Pls pick one option to help me out
option is c=2/3
2/3+ 1/7 = 17/21
Which of the following is a unit rate?
6:9
3:2
5:9
9:1
HURRY I ONLY HAVE 3 MINUTES
Answer:3rd one down
Step-by-step explanation
Answer:
The answer is the 2nd option [tex]h(x) = \sqrt[3]{x+2}[/tex]
Step-by-step explanation:
The parent cube root function intersects the origin (0,0). Putting a positive two with the x under the cube root moves the function 2 units to the left. So the second answer is correct.
Find the area and perimeter of the shape below. Show your work.
The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.
A) what is the length of the kitchen tile?
B) Find the perimeter
Answer:
L=6x^2-4x+5
P=12x^2-4x-2
Step-by-step explanation:
A=WL
So, we know the area is 6x^2-8x-30 and the width is 2x-6
Substitute
(6x^2-8x-30)=(2x-6)(L)
L=(6x^2-8x-30)/(2x-6
Divide
L=6x^2-4x+5
P=2L+2W
Substitute
P=2(6x^2-4x+5)+2(2x-6)
P=12×^2-8x+10+4x-12
Simplify
P=12x^2-4x-2
Please help me with the work! Thanks
Answer:
i cant see te pic that good
Step-by-step explanation:
In the first week of June, a restaurant sold 10,345 omelets. In the second week, 1,096 fewer omelets were sold than in the first week. In the third week, 2 thousand more omelets were sold than in the first week. In the fourth week, 2 thousand fewer omelets were sold than in the first week. How many omelets were sold in all in June? *
Answer:
40, 284 omelets
Step-by-step explanation:
Given that:
In the first week of June = 10345 omelets were sold
In the second week = 1096 fewer omelets are sold than in week one
i.e. 10345 - 1096 = 9249 omelets
In the third week = 2000 more were sold than week one.
i.e. 2000 + 10345 = 12345 omelets
In the fourth week = 2000 fewer omelets were sold than week one.
i.e. 10345 - 2000 = 8345 omelets
Thus, the total quantity of Omelet sold in the month of June is:
= (10345 + 9249 + 12345 + 8345) omelets
= 40, 284 omelets
In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery store. Use the survey to predict how many people in the store would prefer creamy peanut butter?
Answer: Around 96 people would prefer creamy peanut butter.
Step-by-step explanation:
In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.
Then the relative frequency is:
4/5 = 0.8 prefer creamy peanut butter.
And we can assume that:
1/5 = 0.2 prefer chunky peanut butter.
We also could multiply these numbers by 100% to obtain the percentage forms:
0.8*100% = 80%
0.2*100% = 20%
Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.
Then we can expect that the number of people that prefers creamy peanut butter is:
N = (80%/100%)*120 = 0.8*120 = 96
Around 96 people would prefer creamy peanut butter.
The equation of line h is y = -2x + 1. If line h is dilated with a scale factor of 4 with respect to the origin, what is the equation of the new line?
Answer:
y = -2x + 4Step-by-step explanation:
Given line h:
y = -2x + 1Dilated line is parallel to original, so will have same slope of -2
y-intercept will change by a scale factor of 4:
(0, 1) → (0*4, 1*4) = (0, 4)So the equation of the new line is:
y = -2x + 4A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallons per minuet. The second sink is full and is being drained at a rate of 2 gallons per minute. If both sinks hold 24 gallons of water, how many minutes will it take for the two sinks to have the same amount of water?
What is the length of segment BD?
Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
9514 1404 393
Answer:
see attached (7 dimes, 5 nickels)
Step-by-step explanation:
The inequalities are plotted in the attachment. The solution shown is ...
(x, y) = (7, 5)
7 dimes and 5 nickels are 12 coins worth $0.90. This is the maximum number of coins, worth more than $0.85.
A half is a third of what number?
Answer:
is one third of that other number, one sixth of the original number.
Step-by-step explanation:
Which of the following statements is TRUE about rectangle GHIJ.
Answer:
JK=KI
Step-by-step explanation:
Answer:
KJ=KI
Step-by-step explanation:
They're the same length
Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?
Answer:
Katherine will pay $55.24.
Step-by-step explanation:
32.78 + 27.24 + 5.22
= 65.24
65.24 - 10
= 55.24
Katherine will pay $55.24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
how can you remember slope? in a creative way
Answer:
Step-by-step explanation:
dont have a creative way but i just remember rise over run or [tex]\frac{rise}{run}[/tex]
hope this helps <3
Answer:
Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844) who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888) who wrote it as "y = mx + c".
Step-by-step explanation:
hope this helpes, i didn't really know how to answer.
Similar Figures and Scale Drawings Extension brainliest plus 40 points
I think it's a pattern, so x would be 3 and y would be 5 for the first one
x would be 20 for the second
and i dont even do word problems so...
help me please i will give brainliest
Answer:
The forth box for c will be 22
Step-by-step explanation:
If c = 10 , b = 5
If c = 14 , b = 7
If c = 18 , b = 9
If c = 22 , b = 11
If c = 26 , b = 13
Answer:
7
Step-by-step explanation:
What is the domain of y=sqrtx+7+5
Answer:
c on edge 2020
Step-by-step explanation:
Her house is at (−4, 10). Her school is at (−4, 3). The community center is at (2, 3). The grocery store is at (−4, −6). Part A: Use absolute values to calculate the distance in units from Nina's house to her school
Answer:
7 units
Step-by-step explanation:
Given that :
house is at (−4, 10). Her school is at (−4, 3)
House location = (-4, 10)
School location = (-4, 3)
Distance from house to school (d) :
Distance between two points :
x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3
d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]
d = sqrt[(-4 + 4)^2 + (-7)^2]
d = sqrt(0 + (-7)^2)
d = sqrt(49)
d = 7 units
Which of the following number(s) are rational? Select all that apply.
a 2.323232…
b 2.32222…
2.323148…
c -2.3
d Negative 2.ModifyingAbove 3 with bar
Answer:
A B DE on ed 2021
Step-by-step explanation:
The radius of a cone is decreasing at a constant rate of 5 centimeters per minute, and the volume is decreasing at a rate of 148 cubic centimeters per minute. At the instant when the radius of the cone is 222 centimeters and the volume is 21 cubic centimeters, what is the rate of change of the height? The volume of a cone can be found with the equation V=1/3πr^2h. Round your answer to three decimal places.
Answer:
The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.
Step-by-step explanation:
We derive an expression for the rate of change for the height of the cone by differentiating the volume formula given on statement:
[tex]\dot V = \frac{\pi}{3}\cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)[/tex] (1)
Where:
[tex]\dot V[/tex] - Rate of change for the volume of the cone, measured in cubic centimeters per minute.
[tex]r[/tex] - Radius of the cone, measured in centimeters.
[tex]h[/tex] - Height of the cone, measured in centimeters.
[tex]\dot r[/tex] - Rate of change for the radius of the cone, measured in centimeters per minute.
[tex]\dot h[/tex] - Rate of change for the height of the cone, measured in centimeters per minute.
If we know that [tex]\dot V = -148\,\frac{cm^{2}}{min}[/tex], [tex]r = 222\,cm[/tex], [tex]V = 21\,cm^{3}[/tex], [tex]\dot r = -5\,\frac{cm}{min}[/tex], then the rate of change for the height is:
[tex]h = \frac{3\cdot V}{\pi\cdot r^{2}}[/tex] (2)
Where [tex]V[/tex] is the volume of the cone, measured in cubic centimeters.
[tex]h = \frac{3\cdot (21\,cm^{3})}{\pi\cdot (222\,cm)^{2}}[/tex]
[tex]h \approx 4.069\times 10^{-4}\,cm[/tex]
From (1):
[tex]\frac{3\cdot \dot V}{\pi} = 2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h[/tex]
[tex]r^{2}\cdot \dot h = \frac{3\cdot \dot V}{\pi}-2\cdot r\cdot h\cdot \dot r[/tex]
[tex]\dot h = \frac{3\cdot \dot V}{\pi\cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}[/tex]
[tex]\dot h = \frac{3\cdot \left(-148\,\frac{cm^{3}}{min} \right)}{\pi\cdot (222\,cm)^{2}} -\frac{2\cdot (4.069\times 10^{-4}\,cm)\cdot \left(-5\,\frac{cm}{min} \right)}{222\,cm}[/tex]
[tex]\dot h = -2.849\times 10^{-3}\,\frac{cm}{min}[/tex]
The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.
