The original price of the racket is $30
Markup and discount priceLet the original price be x
If there is 30% off the original price, then the new price will be 0.7x
If the price of tennis racquet is now $21, hence;
0.7x = 21
Divide both sides by 0.7
0.7x/0.7 = 21/0.7
x = 21/0.7
x = $30
Hence the original price of the racket is $30
Learn more on discount here: https://brainly.com/question/19104371
1/7 x 7/8 + 3/4
HELP ME EXPLAIN!
Answer:
7 over 8
Step-by-step explanation:
Answer:
fraction: 7/8
decimal: 0.875
Step-by-step explanation:
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
840÷69=14
14×100=1400
Can a chord be a diameter?
Answer:
yes
Step-by-step explanation:
ΔABC ~ ΔEFD
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.Hope this is fine for youCan anyone help me with this question
I’ll mark you as a brainliest
Answer:
x=50°, x=70°
Step-by-step explanation:
for the first one, we will find the interior angle by using the exterior angle given
180-120=60°
to find x,
60°+ x + x+20=180°
80°+2x=180°
2x=100°
x=50°
for the second one, we will also find the interior angle by using the exterior angle given
180-200=20°
to find x,
20°+ x + x+20=180°
40°+2x=180°
2x=180°-40°
2x=140°
x=70°
Solve for "x." Show your work!
5x - 7 = 3
Answer:
answer x =2
Step-by-step explanation:
answer x=2
5.2-7=3
×=2
Step-by-step explanation:
5x-7=3
add 7 in both sides to cancel out the 7 in the left
5x=10
you ant x by itself so you divide 5 in both sides
5x/5 = 10/5
x=2
The diameter of a plant cell measures about 0.00012 m.
What is this number in scientific notation?
A
0.12 x 10-3
B 1.2 x 10-4
1.2 x 10-5
12.0 x 10-5
I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.
Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41
HERES THE QUESTIONS BELOW
Answer:
the first one
Step-by-step explanation:
Please help me with thisss
Answer:
(x, y) = (-2, -3)
WORK:
2x + 4y = -16 =
-2x + 2y = -2 =
(^ the two’s cancel out) =
6y = -18 =
(^ you need to divide 6 on both sides to get just y) =
6y/6 = -18/6 =
(^ the six’s cancel out) =
y = -3 =
(^ now you have to plug this in to get x) =
2x + 4(-3) = -16 =
2x - 12 = -16 =
(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =
2x = -4 =
2x/2 = -4/2 =
(^ now you divide 2 on both sides again to get just y, and they will cancel out) =
x = -2 =
THEREFORE YOU GET (-2, -3)
Which of the measures represent the sides of a right triangle A. B. C. D. 10, 12, 14 8, 11, 19 6, 7, 8 5, 12, 13
Answer:
A. 7
b. 14
c. 16
Step-by-step explanation:
The population of a city is 150,000 and the annual growth rate is 6.9%. Write an equation to model
the population y after x year
Answer:
Step-by-step explanation:
[tex]y=150000(1.069)^x[/tex]
Which statements are true about Aimee's and Theo's
work? Check all that apply
Aimee simplified before she multiplied.
Theo's product is correct.
Aimee divided out the factors 4 and 2 from 875 and
2012
Theo multiplied the numerators correctly but did not
multiply the denominators correctly.
Multiplying rational expressions in different ways
always results in different products.
Answer:
a c d
Step-by-step explanation:
Trapezoid K prime is the image of trapezoid K after a series of transformations.
On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7).
Bella and Marco described the sequence of transformations in different ways.
Bella’s Sequence
Marco’s Sequence
1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation
2. a rotation of 180 degrees about the origin
3. a translation of 1 unit down
1. a reflection of trapezoid K across the x-axis
2. a dilation by a scale factor of Three-halves with the origin as the center of dilation
3. a translation of 1 unit down
Which sequence or sequences are correct and why?
Only Bella is correct.
Only Marco is correct.
Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used.
Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Mark this and return
Answer:
Only Bella is correct
Step-by-step explanation:
I’m right
Answer:
OnLy BeLlA
Step-by-step explanation:
HELP ALSO EXPLAIN 15 POINTS !Chef Porter is making spaghetti sauce for his restaurant. He uses 5 pounds 12 ounces of tomatoes and 3 pounds 9 ounces of onions.
How many total ounces of tomatoes and onions does Chef Porter use?
1) Write the coordinates of the vertices after a translation 1 unit left and 5 units up.
R(1, 4)
S(1,4)
T(5, 4)
U(5,-4)
Answer:
0,9
0,9
4,9
4,1
Step-by-step explanation:
imagine the coordinates on a graph
help i hate math pls
Answer:
31.5
cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3
What are the solutions to the equations below? answer in simpliest form
3(2w+6)-2=2(6w-8)+2w
4(x-1)=1/2(x-8)
4(x+3)-4=8(1/2x+1)
2(2x-5)+2x=7x-1
3x+7x+1=2(5x+1)
Step-by-step explanation:
6w+18-2=12w-16+2w
32=8w
-8w=-32
w=4
4x-4=1/2x-4
3 1/2x=0
x=0
4x+12-4=4x+8
0=0
4x-10+2x=7x-1
-3x=9
x=-3
3x+7x+1=10x+2
0=1 (undefined)
7 * 0.04 = 7 * 4 *
7 times 0.04 equal 7 times 4 times ?
Answer:
Solution
1 Cancel 77 on both sides
x\times 0.04=x\times 4xx×0.04=x×4x
2 Regroup terms
0.04x=x\times 4x0.04x=x×4x
3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
0.04x={x}^{2}\times 40.04x=x
2
×4
4 Regroup terms
0.04x=4{x}^{2}0.04x=4x
2
5 Move all terms to one side
0.04x-4{x}^{2}=00.04x−4x
2
=0
6) Factor out the common term x
x(0.04-4x)=0
7 Solve for x
x=0,0.01
Done!
Step-by-step explanation:
A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.
Answer:
Each box contains 1424 pencils;
There would be 2848 total pencils in two boxes.
Step-by-step explanation:
1424 x 2 = 2848 pencils
Find the reference angle for a rotation of 320°.
Answer:
40°
Step-by-step explanation:
A carpenter has several boards of equal length. He cuts 3/5 of each broads.After cutting the boards the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original board. How many boards did the carpenter star with?
Answer:
10
Step-by-step explanation:
Length of boards are the same :
Let number of boards = x
Fraction cut from each board = 3/5
Total fraction cut = 3/5 * x
Fraction left = 1 - 3/5 = 2/5
Total fraction left = 2/5 * x
Total pieces left = 2/5 * x = 4 times length of original board
Note ; original fraction = 1
Hence,
2/5 * x = 4 * 1
2x / 5 = 4
2x = 4 * 5
2x = 20
x = 20 / 2
x = 10
Number of boards = 10
what fraction of this shape is needed?
Answer:
14/30=7/15
........................
What is the value of the power a if 5a = 1/125
Answer:
x = -3
There is a base f 5 on the left side, so write the denominator on the right as a base of
5 as well.
5
x
=
1
125
5
x
=
1
5
3
Move the base to the numerator.
5
x
=
5
−
3
If the bases are equal, the indices are equal:
x
=
−
3
Answer:
The answer is 1/625
Step-by-step explanation:
The reason is because 5a = 1/125
Therefore, to find the value of "a" we need to divide!
So, a = 1/125 / 5
⇒ 1/125 × 1/5 ( Reciprocal when we divide )
⇒ 1/125 × 5
→ 1/625
I hope this answer helps!
At a manufacturing company, the percent of defective items produced on the assembly line is 2%. The company is testing a new assembly line designed to reduce the percent of defective parts. The
null and alternative hypotheses of the test are described as follows.
H : The percent of defective parts is at least 2%.
H : The percent of defective parts is less than 2%.
Which of the following describes a Type II error that could result from the test?
A) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 3%.
Submit
B
The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 2%
C) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%.
D
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 2%
E
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 1%.
Answer: C. the test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%
Step-by-step explanation:
A Type II error occurs if a false null hypothesis is not rejected. In this case, the new assembly line does reduce the percent of defective items, but the test fails to detect it.
You can use the definition of type II error to identify what option describes a Type II error.
The option that describes a type II error that could result from the test is:
Option C) The test does not provide convincing evidence that the percent is less than 2% (ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1% (ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
What is Type I and Type II error?Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.
The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).The negative is just like the doctor's test getting negative means no disease. Similarly, if we conclude null hypothesis negative means it is accepted. If it is accepted wrongly means the negative test result was false, thus called false negative. This error is called type II error.
What is type II error in given context?Since the specified null hypothesis is [tex]H_0[/tex] = The percent of defective parts is at least 2%.
Thus, according to the aforesaid definition of type II error, we get:
Acceptance of null hypothesis since the test doesn't provide enough evidence for alternate hypothesis to be true or that the test doesn't provide enough evidence that the percent is less than 2% but the actual percent is less than 2%
Thus, Option C) The test does not provide convincing evidence that the percent is less than 2%(ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1%(ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
Learn more about type I and type II error here:
https://brainly.com/question/26067196
Inequality for x: -25x +7 <107
Answer:
x>-4
Step-by-step explanation:
im pretty sure but i dont know
Frankie wants to build a garden with a central walkway. The walkway measures 2 feet by 8 feet and he wants the garden to have the same width all around the walkway. Because of the size of the backyard, Frankie wants the total area of the garden with its walk way to be greater than 100 square feet.
Which inequality represents the combined area of the garden and walkway?
A: (2w+2) (w+8) < 100
B: (w+2) (w+8) < 100
C: (2w+2) (w+8) > 100
D: (w+2) (2w+8) < 100
PLEASE HELP ME!!
3x-(2x+4)+5 what is the answer
Answer:
I LOVE ALGEBRA anyways
the ans is in the picture with the steps on how i got it
(hope that helped can i plz have brainlist it will make my day)
Step-by-step explanation:
Answer: x + 1
I did it in my head so i dont know the steps
You have 12 CDs and choose 4 of them to play one evening. How many
orders of CDs are possible for playing the 4 CDs?
Answer:
3 orders of CDs
Step-by-step explanation:
So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?
Please help with math it’s trigonometry and laws of sine I’m being timed
Step-by-step explanation:
x² = 50²+ 55² - 2 • 50 • 55 • cos61°
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700