( 100 / 88 ) * 924 = original price
( 100 / 88 ) * 924 = $1050
A potter sells small and large ceramic bowls at a craft fair on Saturday. The potter sells a total of 32 ceramic bowls at the craft fair and earns a total of $ 916 . If the small ceramic bowls cost $ 18 each, and the large ceramic bowls cost $ 35 each, exactly how many large ceramic bowls does the potter sell at the craft fair on Saturday?
The numbers of large bowl sold at the fair is 20
Data;
Total bowl sold = 32Total amount made = $916Cost of small ceramic bowl = $18Cost large bowl = $35System of EquationTo solve this problem, we need to write system of equations for this.
Let x represent the numbers of small ceramic bowl
let y represent the numbers of large ceramic bowl
[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]
From equation (i), let's make x the subject of formula
[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]
Let's substitute equation (iii) into equation (ii)
[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]
The numbers of large bowl sold at the fair is 20
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Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3
Answer:
1. -2/1
2. -1.5
3. 25
4. -0.025
Step-by-step explanation:
divide by the coefficient on both sides of then equation.
Solve the simultaneous equations by substitution 3 x + 4 y = 8 x + y = 4
Answer:
x=
29
12
≈0.413793103
y=
29
20
≈0.689655172
A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90
Z-score of given data comes to be 4.84.
It is given that:
Mean price of a prom dress μ= $195
Standard deviation σ= 12
Mean of price spent on prom dress out of 20 people X= $208
Sample size n= 20
What is a z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (208-195)/(12/√20)
Z-score = 4.84
Therefore, the Z-score of the given data comes to be 4.84.
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Answer:
B
Step-by-step explanation:
on edge
Please, please please please help me
Answer:
Triangle C
Triangle D
Triangle B
Triangle A
Answer:
its B hope that helps have a great day
Which expression represents the surface are of the prism?
4
8
7
Answer:
C
Step-by-step explanation:
One side;
7 x 8 = 56, the side parallel to it is also 56 as well, so 56(2).
Second(bottom) side;
8 x 4 = 32, the side parallel to it(the side above) is also 32 as well, so 32(2).
Third(front) side;
4 x 7 = 28, the side parallel to it(backside) is also 28 as well, so 28(2).
You add all those products to get the surface area:
56(2) + 32(2) + 28(2)
Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the nearest tenths, What is the percent increase in distance?
Answer:
24.6%
Step-by-step explanation:
243-195=48
48/195=x/100
48 × 100
4800/195= 24.6%
What is the square root of 100.
Answer:
10 is the answer
Step-by-step explanation:
thank me layer
Answer:
10
Step-by-step explanation:
The square root is the opposite of squared. 10²=10x10=100. There is no method of squarooting something. The only method would be calculator or memorizing perfect squares.
Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction? sine StartFraction pi Over 6 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 11 pi Over 6 EndFraction.
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
help please!!! 18 pts + brainliest ASAP
Answer:
2.5 inches / B (edited)
Step-by-step explanation:
1.25 inches is the radius, so 2.5 inches is the diameter, because:
The diameter's formula is [tex]2r[/tex]. :) emjoy
help me please! i need to turn in this assignment
Answer:
90
40
45%
Step-by-step explanation:
the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one
and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage
here i need help for this please
What would be the answer to this question
Step-by-step explanation:
[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]
-( 28 - 6x ) = x² - 12x + 36
x² - 18x + 64 = 0
√∆ = √( 324 -256)= √68 = 2√17
x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓
9-√17 is not acceptable because the radical answer can not be negative.
What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =
The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
What is pH value?The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.
Hydronium ions concentration of the solution with a pH value of 4.65.
[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]
[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]
Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,
[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]
[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]
Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
Learn more about pH value:
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Answer:
first one is 2.24 then -5
2nd one is 2.24 then -5
i just did it
What is the standard equation of a circle with center (0, 2) that
passes through (5,-2)?
Answer:
x² + (y - 2)² = 41
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
The distance from the centre to a point on the circle is the radius r
calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )
r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{5^2+(-4)^2}[/tex]
= [tex]\sqrt{25+16}[/tex]
= [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41
then
(x - 0)² + (y - 2)² = 41 , that is
x² + (y - 2)² = 41 ← equation of circle
What is the solution to 4(y minus 3) + 19 = 8(2y+ 3) + 7?
Answer: the value of y is - 2
Step-by-step explanation:
Determine the first expression to evaluate 8+7-9+42÷6 ?
Answer:
The answer is 13!
Step-by-step explanation:
Have a great day!
Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph below shows her pay(in dollars) versus the number of hours worked.
How much does her pay increase for each hour?
Answer:
her pay increases by 30$ each hour she work
Step-by-step explanation:
hope it helps
NEED HELP:
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to
find the radius (7) if you know that C = 271?
Answer:
The radius is approx. 7.5
Let me know if it helps or if I got anything wrong!
Step-by-step explanation:
To find the circumference, you need to multiply the diameter by pi (3.14)
And for vice versa, just divide.
Since we don't know the diameter nor radius, we need to divide the Circumference (C) by pi (3.14)
47/3.14=14.968
Which is rounded up to 15.
We have now found the diameter.
We also know that the radius is half of the diameter
15/2=7.5
Which point is a solution to the inequality y > − 5 x + 3 ?
Are the ratios equivalent? 2/5 and 20/55
Step-by-step explanation:
Simplify 20/55;
[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]
[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]
In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.
Assuming 2:5 and 22:55 are equivalent. Then;
[tex]\implies 2:5 = 20:55[/tex]
This can be checked by using two methods. Listed below!
Method 1 (As stated above):This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.
Obtained ratio:
[tex]2:5 = 20:55[/tex]
We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.
[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]
[tex]2:5 = (4):(11)[/tex]
Therefore, the given ratios are NOT equivalent.
Method 2:To determine if the ratios are equivalent (or not);
Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.Therefore,
[tex]\implies 2:5 = 20:55[/tex]
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
Now, let's simplify both sides of the equation.
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]
Therefore, the given ratios are NOT equivalent, as stated in method 1.
Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"Learn more about equivalent ratios: https://brainly.com/question/18835388
How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.
The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
What number of tiles is needed to make the equation perfect square?Given equation is [tex]x^{2} +4x+3[/tex]
Now by adding 1 to the equation [tex]x^{2} +4x+3[/tex] we get
[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]
[tex]x^{2} +2x+2x+4[/tex]
Now by splitting the equation
[tex]x(x+2)+2(x+2)[/tex]
[tex](x+2)(x+2)[/tex]
[tex](x+2)^{2}[/tex]
Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
To know more about Trinomial follow
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A - 1
Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks
The graphs below have the same shape. What is the equation of the blue
graph?
Please help me, because I am struggling on this picture.
Answer:
see attached
Step-by-step explanation:
Each grid is divided into units by the dark vertical lines, and into fractions of the last unit by the lighter vertical lines. The left-side figure, for example, shows 3 units, the last of which is divided into fourths (1/4s).
The lighter horizontal lines divide the vertical space into fractions. The left side figure has horizontal lines dividing the vertical space into tenths (1/10s).
Overall, each grid represents multiplication of a mixed number by a fraction.
__
The left-side figure has coloring horizontally covering two full units and 3/4 of the last unit. The coloring vertically occupies 3 of the 10 spaces, Overall, the figure represents multiplication of 2 3/4 by 3/10. That matches the solution required for the question about July rainfall (bottom word problem).
__
The top right figure has coloring horizontally that covers two full units and 2/3 of the last unit. The coloring vertically occupies 2 of the 3 spaces. Overall, the figure represents multiplication of 2 2/3 by 2/3. That matches the solution required for the question about mat area (top word problem).
__
The bottom right figure has coloring horizontally that covers three full units and 1/5 of the last unit. The coloring vertically occupies 1 of the 4 spaces. Overall, the figure represents multiplication of 3 1/5 by 1/4. That matches the solution required for the question about the weight of carrots (middle word problem).
_____
Additional comment
Perhaps the confusing part is that the answer to the question, as represented by the shaded area, is not easy to determine from the figure.
The left-side figure, for example, has a blue shaded area that totals 6/10, and an orange shaded area that totals 9/40. The answer to the question posed is then 6/10 +9/40. The diagram offers no help in figuring the value of that sum, hence the answer to the question.
only the evaluate question. please answer quickly
Answer:
2m²-6m
Step-by-step explanation:
First simplify the numerator.
Then cancel the common factor of m+3 and use distributive property.
Multiply m by m and lastly multiply -3 by 2.
What is the length of side b round to the nearest hundredth
Answer:
= 8.06
Step-by-step explanation:
4^2 + 7^2
16 + 49
= ∫65
= 8.06
The dimensions of this screen are 8 inches by 15 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen
Answer:17
Step-by-step explanation:
I just did it and got it write 15/8=17
Answer:
B
Step-by-step explanation:
At the beginning of a month, the number of people rock climbing increases and then decreases by the end of the month. The number of people zip-lining steadily increases throughout the same month. The models show the number of people y for each type of activity based on the number of days x since the beginning of the month.
a. Write a system of equations that represents this situation.
b. On what day or days were the same number of people rock climbing and zip-lining?
c. How many people were participating in each activity on that day or days?
Answer:
a)
[tex]y=-\dfrac17x^2+2x+10[/tex]
[tex]y=2x+3[/tex]
b) Equate the equations and solve for x:
[tex]-\dfrac17x^2+2x+10=2x+3[/tex]
[tex]\implies -\dfrac17x^2+2x-2x=3-10[/tex]
[tex]\implies -\dfrac17x^2=-7[/tex]
[tex]\implies x^2=49[/tex]
[tex]\implies x=\pm\sqrt{49}[/tex]
[tex]\implies x=7[/tex] (as time is positive)
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute [tex]x = 7[/tex] into [tex]y = 2x + 3[/tex] and solve for y:
[tex]\implies 2(7)+3=17[/tex]
Therefore, 17 people were participating in each activity on day 7.
Answer:
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute into and solve for y:
Therefore, 17 people were participating in each activity on day 7.
Step-by-step explanation:
A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.
Answer :
8 meters .⠀
Explanation :
The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.⠀
To Find :
The height of the cylinder.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]
⠀
Where,
r is the radius of the cylinder.h is the height of the cylinder.⠀
Now, Substituting the values :
[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]
⠀
Cancelling π from both sides :
[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]
[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]
[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]
⠀
Therefore,
The height of the cylinder is 8 meters .6. Izabella and
Lani go to breakfast
and spend $34, plus
they give a 20%
tip. How much do
they pay total ?