A pair of basketball shoes's normal price is $120. Jordan bought it at a discount of 10%. He had to pay 8% tax on the discounted price. If jordan put 15% of the final cost (including tax) as a down payment, how much money did he have to pay for the down payment?
Answer:
$17.50
Step-by-step explanation:
If the shoes are discounted at 10%, the price would be 90% of the original price
Discounted price = 0.9 x 120 = 108
Tax increases the price of the good. so, the discounted price would increase by 8%
1.08 x 108 =116.64
If Jordan pays 15% as a down payment, he would pay :
0.15 x 116.64 = 17.496
Which systems of equations intersect at point A in this graph?
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Step-by-step explanation:
Given the point
A (-2, 1)Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Arrange equation variable for elimination
[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]
so
[tex]y+3x=-5[/tex]
[tex]-[/tex]
[tex]\underline{y-4x=9}[/tex]
[tex]7x=-14[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]
Solve 7x = -14 for x
[tex]7x=-14[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]
Simplify
[tex]x = -2[/tex]
For y - 4x = 9 plug in x = 2
[tex]y-4\left(-2\right)=9[/tex]
[tex]y+4\cdot \:2=9[/tex]
[tex]y+8=9[/tex]
Subtract 8 from both sides
[tex]y+8-8=9-8[/tex]
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
How many groups of 1/4 are in 3?”
Answer: 12
Step-by-step explanation:
7 more than a number w is -2
Answer:
w+7=-2
Step-by-step explanation:
Question 7(Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x
Answer:
[tex]y = -3x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the graph equation
To do this, we pick any 3 corresponding points of x and y
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (2,-6)[/tex]
[tex](x_3,y_3) = (-4,12)[/tex]
The equation can then be solved using linear interpolation as follows:
[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]
This gives:
[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]
[tex]\frac{y-12}{x+4} = -3[/tex]
Multiply both sides by x + 4
[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]
[tex]y - 12 = -3 *(x + 4)[/tex]
Open bracket
[tex]y - 12 = -3x -12[/tex]
Add 12 to both sides
[tex]y - 12+12 = -3x -12+12[/tex]
[tex]y = -3x[/tex]
These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False
Answer:
False
Step-by-step explanation:
to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear
between (-2, -9) and (0, -4):
m=(y2-y1)/(x2-x1)
=(-4-(-9))/(0-(-2))
=5/2
between (0, -4) and (3,6):
m=(y2-y1)/(x2-x1)
=(6-(-4))/(3-0)
=10/3
because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)
Determine the domain of the following graph:
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:
Interval Notation: (-7, 4]
Inequality Notation: -7 < x ≤ 4
Susan has just earned her allowance of $10.00. She puts $5.00 in her savings account
at the bank. With the rest of the money, Susan spends $1.75 on candy and buys a toy
for her baby brother for $2.50. How much money does Susan have left?
Answer:
Susan should have 75¢ left.
Step-by-step explanation:
Taking away $5.00 from $10.00 makes $5.00. 5.00-2.50=2.50 and 2.50-1.75=.75
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?
Answer:
140
Step-by-step explanation:
7- Cranberry
2:Grape = 40 so 40/2 = 1
3:Pineapple
1= 20 juices
7+2+3 is 12
20 x 12 is 140
Juan made $115 for 5 hours of work how many hours would he have to work to make $414
Answer:
He would need to work for 18 hours.
Step-by-step explanation:
115÷5=23 (dollars)
414÷23=18 (hours)
Answer:
18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414
Step-by-step explanation:
What is a power function and what restrictions does it have?
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
Step-by-step explanation:
Gary had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 6 4 5 dollars on gift B. How much money did he have left for gift C?
Answer:
$13.95
Step-by-step explanation:
Total Amount to spend on gifts = $30
Number of gifts to purchase = 3
Amount spent on gift A = $9 1/4
Amount spent on gift B = $6 4/5
Amount left to spend on gift C:
Total amount - (gift A + gift B)
$30 - ($9 1/4 + 6 4/5)
$30 - (37/4 + 34/5)
$30 - (185 - 136) / 20
$30 - 321 / 20
30 - 16.05
$13.95
MARKING BRAINLIEST!!!!
Answer:
12
Step-by-step explanation
Pls help i dont understand
3x-2y = 8
solve for y
Answer:
-4+3x/2
Step-by-step explanation:
What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.
I’ll give brainliest to whoever answers 1st! :)
Answer:
1432.57cm²
Step-by-step explanation:
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT
Pls help
Answer:
9.42
Step-by-step explanation:
QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING
Answer:
One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea. The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5. Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."
Step-by-step explanation:
May I have brainiest pls I'm trying to level up!
</3 PureBeauty
Identify the correct Triangle Congruence Theorem statement that describes the figure below.
Ο BAC & FED
O ABC & DEF
O ABC & DFE
О АСВ & DEF
Please help hawjwjrjshfhsjsjsjakskdkskdkdid
9514 1404 393
Answer:
3 1/4
Step-by-step explanation:
[tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]
What is the slope of the line that passes through the points (-3, 4) and (5, -2)?
Answer:
m = 0 , this is a horizontal line, y = 5
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-3,5),
(-4,5) m = 0/1 = 0
m=y2-y1/x2-x1
m = 0 , this is a horizontal line, y = 5
Hopefully that helps!!!!!
Please help! ASAP Its about fractions from the picture below there is some instructions!
Answer:2/10, 3/15, 4/20,
Step-by-step explanation:
Answer:
2/10,3/15,4/20
Step-by-step explanation:
i hope it was helpful
2 triangles are shown. They have one congruent side. The first triangles has angle measures of 98 degrees and 35 degrees. The second triangle has angle measures of 35 degrees and 47 degrees. Are the triangles congruent? If so, how do you know?
Answer: Yes.
Step-by-step explanation:
Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.
In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:
= 180° - (98° + 35°)
= 180° - 133°
= 47°
Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:
= 180° - (35° + 47°)
= 180° - 82°
= 98°
The triangle is congruent as they all have same angles
Answer:
yes because of ASA or AAS
Step-by-step explanation
got it right
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?
Answer:
[tex](g\circ f)(-1)=36[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]
And we want to find:
[tex](g\circ f)(-1)[/tex]
This is equivalent to:
[tex]=g(f(-1))[/tex]
So, evaluating f(-1) first, we acquire:
[tex]f(-1)=-(-1)+5=6[/tex]
Then by substitution:
[tex]=g(6)[/tex]
So:
[tex]=(6)^2=36[/tex]
Therefore:
[tex](g\circ f)(-1)=36[/tex]
Your answer is indeed correct.
Answer:
please refer to the above attachment.
36 is the right answer.I NEED HELP PLEASE!! Does anyone understand this??
Answer: 44.4
Step-by-step explanation:
We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.
First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]
then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4
OMG WILL SOMEONE PLEASE HELP I NEED THIS!!!!!!!!!!! I WILL GIVE A LOAD OF POINTS!!! The price for X pounds of almonds at the Snack Shack is represented by y = 6.5x. Which store sell almonds at a lower unit rate cost? How much lower?
c
Step-by-step explanation:
because th x value of 9 will determine rhe shape of s
A student needs 3/4 pounds of modeling clay for a project. If each package has 1/8 pounds of clay how many packages of clay does the student need for his project
Answer:
6 packages
Step-by-step explanation:
Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.
8 * 0.75 = 6
This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.
please help me please will give brainliest to anyone
Answer:
[tex]x^4+x^2-12[/tex]
Step-by-step explanation:
We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:
[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]
Expanding this, we get:
[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].
3h+5 when h =4 23 points
Answer:
3*4= 12 12+5=17
Step-by-step explanation:
hav a great day :P
Answer:
17
Step-by-step explanation:
3h + 5 h=4
plug in 4 for h
3(4) + 5
12 + 5
17
Hope this Helps!!!
