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.
A rectangular barn door needs to be painted. The door is 81 inches high and
50 inches wide. What is the area of the front of the door?
А
8,100 square inches
B
1,620 square inches
524 square inches
D 4,050 square inches
y=-9x^2+571x-3884 find x
Answer:
I'm pretty sure it's either 3.1 or 4.1
Step-by-step explanation:
Answer:
x = (571 ± √186217) / 18
x ≈ 7.74840677368558702303.. or 55.69603767075885742140..
x ≈ 7.75 or 55.70
Step-by-step explanation:
y = -9x² + 571x – 3884.
x = (-b ± √b² – 4ac) / 2a
x =
(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →
(-571 ± √(326041 – 4(34956))) / -18) →
(-571 ± √(326041 – 139824)) / -18) →
(-571 ± √(186217)) / -18 →
(571 ± √186217) / 18 →
PLEASE HELP I DONT KNOW
Answer:
8ft
Step-by-step explanation:
Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.
MARK ME BRAINLIEST :)))
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8ft.Because,
r = 1 d
ㅤ 2
r = 1 × 16
ㅤ 2
r = 8 ft.
Thanks Hope it helps.A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides
measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?
Answer:
[tex]Area = 90.03cm^2[/tex]
Step-by-step explanation:
Given
[tex]s_1 = 14.9[/tex]
[tex]s_2 = 14.7[/tex]
[tex]\theta = 124[/tex] --- angle in between
Required
The area of the plate
Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]
The area is:
[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]
[tex]Area = 90.03cm^2[/tex]
When factoring the difference of two squares, what will the signs in the parenthesis be
Answer:
The signs will be + and -
Step-by-step explanation:
Required
The signs in the parenthesis of difference of two squares
Let the expression be:
[tex](x^2 - a^2)[/tex]
Expand
[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]
Factorize
[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]
Factor out x - a
[tex]x^2 - a^2 = (x +a)(x - a)[/tex]
See that the sign in front of a is + and - in the parentheses
After 6 months what would be the simple interest earned on an investment of $5,000 be at 6%.
Answer:
$150
Step-by-step explanation:
I = prt
I = 5000(.06)(.5)
I = 150
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
Quadrilateral RUST has a vertex at R(4,2).
What are the coordinates of R'after the translation (x, y) + (x - 1, y - 1).
followed by a dilation by a scale factor of 2, centered at the origin?
O A. (6,1)
O B. (7,3)
C. (6,2)
O D. (8,2)
Answer: it is C
Step-by-step explanation:
Translation: (4,2) -> (3,1)
Dilation: (3,1) -> (6,2)
The solution is, the coordinates of point R' are (7, 3) and the correct option is B.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given:
The coordinate of point R in quadrilateral RUST are (4,2).
R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 2, centered at the origin, then
(x, y) ⇒ ( 2x, 2y )
We value R(4,2).
R(4,2) ⇒ R_1( 8,4)
The rule of translation is:
(x, y) + (x - 1, y - 1).
Using this rule, we get
R_1( 8,4) ⇒ R' ( 7,3)
Therefore, the coordinates of point R' are (7, 3) and the correct option is B.
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In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
In the triangle below, we can solve to find GH = 16. Explain each
step you would do to solve for GH, and how you knew you could do
each step.
E
2x
Н.
F
3x - 8
G
Edit View Insert Format Tools Table
12pt v Paragraph B IVA e Tv
Answer:
see explanation
Step-by-step explanation:
HF is a perpendicular bisector of Δ EGH
Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so
GH = EH
3x - 8 = 2x ( subtract 2x from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Then
GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16
Answer:
From diagram, FG = EF
Solving fo HF and FG by Pythagorean Theorem
HF² = (3x -8)² -FG²
HF² = (2x)² -FG²
We can eliminate HF² and FG² from BOTH equations because they cancel out.
The 2 equations become (3x -8)² = (2x)²
9x² -48x +64 = 4x²
5x² -48x +64 = 0
Using Quadratic Formula
X1 = 8
X2 = 1.6
********************************************
2x = 16 AND 2x = 3.2
F is 90°
3x -8 = 16 AND 3x -8 = 2.8
Step-by-step explanation:
The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.
Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Anyone know how to do this?
Answer:
1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]
2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]
3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...
1^2 = 1
2^2 = 4
[tex]2^{\frac{5}{3} }[/tex] is between 1 and 2 to the power of 2
help me plz god bless
Answer:
d.
Step-by-step explanation:
The gradient is -5 meaning that it's going downwards as x increases
The y-intercept is 3
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A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart. The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=[tex]\frac{100.48}{72.22}=\frac{32}{23}[/tex]
ratio is 32:23.
how do you change a fraction to a unit rate
Answer:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
Practice:
Complete the table:
a. 1
b. -1
c. 2
d. 0
Please select the best answer from choices provided
Answer:
D. 0
Step-by-step explanation:
I calculated logically
Solve for x 6x + 7 = 19x = 28
Help and I will give brainiest use the photo to answer. Please provide step by step answer explanation
The value of x to satisfy the given case is 2.
What is mid point theorem?The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.
As per the given figure the data is as follows,
The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.
Apply mid point theorem to obtain,
6x + 7 = 1/2(19x - 28)
=> 19x/2 - 6x = 14 - 7
=> 7x/2 = 7
=> x = 2
Hence, the value of x for the given triangle is 2.
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The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
evaluate the expression when a =3 and y=2.
y-5a
Answer:
y-5a2-5×32-15-13hope it helps
stay safe healthy and happy.Answer:
Step-by-step explanation:
1. replace variables with the integers they represent. 2-5(3)
2. multiply 5 * 3 = 15
3. Subtract 2-15
Answer - 13
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2).
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
speak english plz
Step-by-step explanation:
What is an example of a variable expense?
Grocery bill
Loan payment
Rent
Car payment
Answer:
Rent
Step-by-step explanation:
I think
Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Find P(White)'.
A. 16/43
B. 11/18
C. 23/77
D. 3/7
Answer:
Step-by-step explanation:
..........................Pls help math
Answer:
x=65
Step-by-step explanation:
that is all. It is isoceles triangle so if p is 65, l is also 65
Answer:
65 degrees
Step-by-step explanation:
The two sides of the angle is equal which means it is an isosceles triangle, the value will be 65 degrees
Find the value of x and the value of y
Answer:
look at the picture i have sent
Answer for branliest
Answer:
1/3
Step-by-step explanation:
P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3
hi pls help me lovelies
Answer:
53.8%
Step-by-step explanation:
Answer:
u already got ur awnser so hi
Step-by-step explanation:
ui
5/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
What is the volume??????
Answer:
[tex]36\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}[/tex]
The height is marked as [tex]6[/tex] inches. Thus, the volume of the prism is:
[tex]\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}[/tex]
Select all numbers that are solutions to the inequality k > 5 a 4
b 5
c 6
d 5.01
e 5.2
f 0.5
Answer: C D E
Step-by-step explanation:
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17