Answer:
$8,000
Step-by-step explanation:
Let the store earned $x in December.
Therefore,
Money spent to buy new inventory [tex] =\frac{1}{4} x[/tex]
Remaining money [tex] = x - \frac{1}{4} x =\frac{3}{4} x[/tex]
Money used to pay bills [tex] =\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x[/tex]
Money still left over = $3,000
Total money earned in December [tex]= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000[/tex]
[tex]\therefore x= \frac{5}{8} x+ 3,000[/tex]
[tex]\therefore x- \frac{5}{8} x=3,000[/tex]
[tex]\therefore \frac{8x-5x}{8} =3,000[/tex]
[tex]\therefore \frac{3x}{8} =3,000[/tex]
[tex]\therefore x =3,000\times \frac {8}{3}[/tex]
[tex]\therefore x =1,000\times 8[/tex]
[tex]\therefore x =\$8,000[/tex]
Thus, total money earned in December is $8,000.
Find the focus.
x2 = 6y
A. (0, 3/2)
B. (0,6)
C. (0, -3/2)
D. (3/2,0)
Answer:
The answer would be (0,3/2) or letter A.
Step-by-step explanation:
In conclusion the answer is letter A (0,3/2)
You welcome.
The co-ordinate of the focus of the given equation of the parabola x^2=6y is (0,3/2).
We have given the equation is
[tex]x^2 = 6y[/tex]
We know that the general equation of the parabola is,
[tex]x^2=4ay[/tex]
A line that passes through the focus and divides the parabola into two halves is known as the axis of symmetry.
What are the coordinates of the focus?
The coordinates of the focus [tex]f(0, a)[/tex]
We have to determine the value of
[tex]a4a=6a \implies 6/4a=3/2[/tex]
Therefore the coordinate of the focus is[tex](0,3/2)[/tex].
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Is the answer yes or no?
Answer:
yes
Step-by-step explanation:
because in order to create a right triangle all of its sides must be different
Answer:
Yes
Step-by-step explanation:
Using the Pathagerum theorm (C**2 = A**2 + B**2)
The hypotinuse as always the longest side except for an equal lateral triangle. So if it is a right angle triagle so if true then,
13**2 = 5**2 + 12**2
169 = 25 + 144
169 = 169
so it is true (YES).
Apen is being built that is 10 feet long and 20 feet wide. How much fencing material will be needed
Answer:
40 square feet of material
Step-by-step explanation:
How many students will be in each group...?
Mr. Hooper and Mr. Dale are playing a one-on-one basketball game in Madison Square Garden, 60 5th grade scholars from Beloved will attend the game.
They will travel to the game in groups with x teachers. Complete the table. How many scholars will be in each group if x = 3
X
30 x
1
30
3
6
4 students
6 students
10 students
90 students
9
10 11 12 13 14 15 16 17 18
Answer:
10 students
Step-by-step explanation:
Hope this helps!
Write the correct value for each letter in the synthetic division process
Answer:
A= -6 B=-4 C= 12 D= -4
Step-by-step explanation:
3 • -2= -6
2•-2= -4
4+8=12
20 + -24 = -4
fraction equivalent to 3/8 with denominator of 72
Answer:
27/72 IS MY best guest
Step-by-step explanation:
Need some help with this soon!
Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
Digger the Dog Logan's dog, Digger, was constantly digging his way under the fence, escaping from the back yard, and following Logan to school. Digger was also in big trouble with Logan's mom who enjoyed leisure time away from her law firm by taking care of her flower garden. They decided they would have to keep digger tied up while they were away during the day. After a long discussion about how much of the back yard Digger should be allowed to destroy, they agreed that at least two-thirds of the yard should be safe for planting flowers and other plants. Logan tied Digger to the corner of the shed, at point A, with a 25-foot rope. Will this satisfy his mom?
Answer:
Is there a picture attached to this or how big the whole yard is?
Step-by-step explanation:
Degree and Radian Measures
Convert the given radian measures to a degree measure.
2 /pi (π)
a. 360°
b. -360°
c. -180°
d. 180°
Pleases select the best answer from the choices provided
Answer:
A. 360°
Step-by-step explanation:
I calculated it logically
PlS help lots of points
Write the expression as a product of expressions.
(Factor this expression.)
`a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}`
PLEASE HELP THIS IS URGENT
Answer:
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
Step-by-step explanation:
Given
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Required
Factor
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Factor out [tex]a^2[/tex]
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
The expression cannot be further factored
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total cost
Answer:
The total cost was $182.91.
Step-by-step explanation:
Tax formula:
tax=tax percentage×amount
Tip formula:
tip=tip percentage×amount
solve
First find the tax. Write 14% as the decimal 0.14 before using it in the equation.
tax
= tax percentage×amount
= 0.14×136.50
= 19.11
The tax was $19.11.
Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.
tip
= tip percentage×amount
= 0.20×136.50
= 27.3
The tip was $27.30.
Finally, find the total cost.
total cost
= cost + tax+tip
= 136.50+19.11+27.30
= 182.91
Answer:
182.91
Step-by-step explanation:
help please thank you
Answer:
1.8cm²
Step-by-step explanation:
The shape shown is a rhombus with a height of 1.2 cm and a base length of 1.5 cm.
The area of a rhombus can simply be calculated by multiplying the base length by the height
So area = 1.2 * 1.5
1.2 * 1.5 = 1.8
Hence the area of the rhombus is 1.8cm²
Answer:
0.9 cm²
Step-by-step explanation:
A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.
Which equation can be used to solve for x, the side length of the original square?
x2 − 2x − 120 = 0
x2 + 2x − 120 = 0
x2 − 2x + 120 = 0
x2 + 2x + 120 = 0
Answer:
x² - 2x - 180 = 0
Step-by-step explanation:
A square piece of paper has an area of x² square units
w = x
l = x
A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.
this leaves
l = x
w = x - 2
x(x - 2) = 180
x² - 2x = 180
x² - 2x - 180 = 0
Answer:
x2 − 2x − 120 = 0
Step-by-step explanation:
Area of Square-A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.
Given data is-Let x the length side of the original square paper
we know that the area of the original square paper is equal to
[tex]A1=x*x=x^{2} units{2}[/tex]
the area of the remaining piece of paper is equal to
[tex]$A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$[/tex]
so
[tex]$x^{2}-2 x=120$$x^{2}-2 x-120=0$[/tex]
therefore, the side length of the original square is x2 − 2x − 120 = 0
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the graph of the square root parent function f(x)= [tex]\sqrt{x} \\[/tex] is horizontally compressed by a factor of 1/3, translated right by 3 units, and translated down 5 units to yield g(x). which function can be used to representg(x)?
Answer:
my brain exploded trying to answer it sorry
Step-by-step explanation:
dang
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
Please solve this question
Answer:
it would be y=0
Step-by-step explanation:
because y+6y+9y=0
you basically add 6y+y=7y because the y that's by its self counts as 1
then you 7y+9y=16y
then it would be 16y=0
hope this helps out believe it's right
Write two expressions that are equivalent to 4n -5.
-5+4n and 4n+(-5), that is the answer
A ________ is the collection of data from every member of the population.
A.
census
B.
placebo
C.
sample
D.
statistic
Answer:A census
Step-by-step explanation:
Census is the collection of data from every member of a population. Parameter: A numerical measurement describing some characteristic of a population.
2 + 2 its reallyhard
Answer:
I think the answer is 4
Step-by-step explanation:
If you do this thing called ADDITION, 2+2=4.
If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
20 POINTS PLEASE HELP
Which of the following expressions is true? A. 2^4 • 2^3 = 212 B. 3^3 • 3^6 > 3^8 C. 4^2 • 4^2 > 4^4 D. 5^5 • 5^2 = 5^10
Answer:
Step-by-step explanation:
Exponents of the same base add
A. 2^4 • 2^3 = 212
2^7 = 128 ≠ 212
B. 3^3 • 3^6 > 3^8
3^9 > 3^8
C. 4^2 • 4^2 > 4^4
4^4 = 4^4
D. 5^5 • 5^2 = 5^10
5^7 ≠ 5^10
if two lines do not intersect, they are parallel
Answer:
true
Step-by-step explanation:
I’m need the answer pls
Answer:
B. 16 students
Step-by-step explanation:
Just count all of the dots.
Hope this helps
Brainliest would be appreciated
Answer:b
Step-by-step explanation: well 7+5+3+1= 16
The first question
(Worth 10 points) please help
9514 1404 393
Answer:
C. 7
Step-by-step explanation:
To find the value of 2Ω3 using the definition of AΩB, we are replacing A with 2, and B with 3. This seems to give us ...
2Ω3 = 2² +3² -2·3 = 4 + 9 - 6 = 7
The value of 2Ω3 is 7.
Please answer the question correctly with factual information for brainliest.
Answer:
5 or D
Step-by-step explanation:
The volume of a cube is equal to a side length to the power of three. Hence the term "cubed". so x^3=125
x=cbrt(125)
x=5
Double check:
(5*5)*5=25*5=125
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Answer:
D. y = 2x² + 1
E. y = x²
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = ax + b[/tex]
In which a is the slope and b is the y-intercept. A constant function is linear, as it is the special case in which a = 0.
In this question:
In options D and E, the highest exponent of x is 2, which means that they are not linear functions, and so these options are the answer.
3. A palm free is 12m in height.
A coconut tree is 16m in height.
What is the combined height of the
trees?
Answer:
12+16= 28m
28m is the combined height of the trees .
Hope this helps !
need help really please
Answer:
8.2
Step-by-step explanation:
1. How many blocks does each pyramid have?
a. several thousand
b. several million
c. several billion
Answer:
B. Several Million
Step-by-step explanation:
Each of the estimated 2.3 million blocks of stone weighs about 2267.96 Kg (about 2.3 tons) each The Great Pyramid of Giza is located at the border of Cairo in Egypt. It is believed that the pyramid was built over a time period of between 10-60 years by Pharaoh Khufu at around 2550 B.C. together with his successors including Khafre and Menkaure.
