The price of an item has risen to $187 today. Yesterday it was $110 . Find the percentage increase.
well, its difference is 187 - 110 = 77.
now, if we take 110 as the 100%, what is 77 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 110 & 100\\ 77& x \end{array} \implies \cfrac{110}{77}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x=\cfrac{700}{10}\implies x=70[/tex]
What can you tell about the numbers?
Equations can be for example like: -1 ≤ x < 4
Answer:
Step-by-step explanation:
The numbers lies between 80 and 140
80 < x <140
Hollow dot at point 80 and 140 indicates that 80 and 140 are not included
What is 3 inches converted to feet?
Write your answer as a fraction in simplest form. 6
3 in=3 x 1 in
Answer:
1/4 feet
Explanation:
12 inches = 1 feet1 inches = (1/12) feet3 inches = (1/12)*3 feet3 inches = 1/4 feetSo
1in=1/12ftHence.
3in3(1/12)3/121/4ft0.25ftcan someone help me fast -2 1/3 - (-5
Answer:
your answer is positive 8/3
Step-by-step explanation:
When you are subtracting something by a negative number, it is the same as adding by a positive. For example, this equation would be solved like:
-2 1/3 + 5
Instead of -2 1/3 - (-5)
Hope that helps!
Jasmin rakes at two different houses. it takes her 2 1/3 hours to rake leaves at the first. it takes her 1/2 of that time to rake at the second house. how long does it take jasmin to rake at the second house?
Answer:
Jasmin rastrilla en dos casas diferentes. le toma 2 1/3 horas rastrillar las hojas al principio. le toma 1/2 de ese tiempo rastrillar en la segunda casa. ¿Cuánto tiempo tarda el jazmín en rastrillar en la segunda casa?
Step-by-step explanation:
What is the square of the sum of the first 5 Square numbers?
Answer:
3025
Step-by-step explanation: Add the first five square numbers together then square that.
1²+2²+3²+4²+5² = 55
55² = 3025
Solve this for 100 points
Answer:
you may check in your book this question is related with stastics
Answer:
(S)=0
Step-by-step explanation:
Find the derivative of 9x³ + 4x² + x + 3 at x = 3.
Answer:
268
Step-by-step explanation:
Derivative Rule
dy/dx (xⁿ) = nxⁿ⁻¹On deriving,
dy/dx = 9x³ + 4x² + x + 3dy/dx = 27x² + 8x + 1Substitute x = 3
dy/dx = 27(3)² + 8(3) + 1dy/dx = 243 + 24 + 1dy/dx = 268Solution:
268
=============================
[tex]\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3[/tex]
[tex]\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )[/tex]
[tex]| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |[/tex]
[tex]\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||[/tex]
solving step wise
[tex]\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )[/tex]
[tex]\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0[/tex]
[tex]\sf \rightarrow 27x^2+8x+1+0[/tex]
[tex]\sf \rightarrow 27x^2+8x+1[/tex]
when x = 3
[tex]\sf \hookrightarrow 27(3)^2+8(3)+1[/tex]
[tex]\sf \hookrightarrow 243+24+1[/tex]
[tex]\sf \hookrightarrow 268[/tex]
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5. 1% compounded quarterly. Round your answer to the nearest cent. A. $1,125. 69 c. $1,518. 85 b. $1,127. 86 d. $1,508. 31.
The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.
Principle P= $16,231
Rate of interest r= 5.1% compounded quarterly
Tenure n= 4 year =16 quarters
What is the formula for quarterly payment?The formula for quarterly payment is given as:
Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]
Where P=principle
r =quarterly rate of interest
n=tenure
Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]
Quarterly payment =$1508.31
Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.
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Debbie has 65 tubs of yogurt and 16 boxes of granola. All four kids continue to eat the same amount of food each morning. Which kind of food will get used up first?_________
show your calculations and explain how you figured it out.
The kind of food that will finish and get used up first is the boxes of granola.
What is word problem?Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.
From the parameters given:
Debbie has = 65 tubs of yogurtThe boxes of granola = 16The number of kids that consume the same quantity of both food types = 4The time at which the 65 tubs of yogurt will finish:
= 65/4
= 16th rounds with a remainder of 1 tub
The time at which 16 boxes of granola will finish:
= 16/4
= 4th round
A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.
Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.
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The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.
Answer:
17 stops on 1 ticket
Step-by-step explanation:
Answer:
17 stops on 1 ticket
Step-by-step explanation:
Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find your friend’s profit-maximizing price and level of output
A demand curve shows the quantity demanded of a product at each price.
What is a demand curve?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
A demand curve simply means a graphical representation of the relationship between price and quantity demanded.
In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.
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The profit-maximizing price is when the marginal cost equals marginal revenue.
An individual’s utility-maximizing choices can lead to a demand curve.
What is the demand curve?Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.
In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.
The marginal decision rule—generally produce downward-sloping demand curves.
This section shows how an individual’s utility-maximizing choices can lead to a demand curve.
Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.
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Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4
Answer:
1.62857142857
Step-by-step explanation:
Im sure you can round to 1.6 or 1.62.
1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find
(i) the probability that no orange discs are selected. [3]
(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]
(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]
(iv) the mean and variance of the number of pink discs selected. [8]
1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries
The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.
How to calculate probability?The probability that no orange discs are selected will be:
= 200C5 / 300C5
= 0.1295
The probability that exactly 2 discs with numbers ending in a 6 are selected will be:
= (30C2 × 270C3) / (300C5)
= 0.0721
The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:
= (100C2 × 290C3) / (300C5)
= 0.0092
The mean of the number of pink discs selected will be:
= np
= 5 × 1/3
= 5/3
The variance will be:
= 5 × 1/3 × 2/3
= 10/9 = 1.11
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Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?
Answer:
(0,4) (0,7) (-2,4)
Step-by-step explanation:
The line x=1 is a vertical line that passes through the point (1,0). So we then place the new triangle at equal distance from the line.
I hope this helps!
please mark brainliest!!
Answer:
i think you have to multiply
the answer is- 28.512
Step-by-step explanation:
i dont know if this is right im sorry but i think it is
American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.
Answer:
$143.88
Step-by-step explanation:
Look at image above...
I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.
zelma buys p pounds of bananas for 40 cents per pound. she pays the clerk with a $20 bills. The clerk Subtract The total cost of the banana from the $20 bill to determine the amount of change to give zelma. which expression represents the amount of change Zelma should received?
[tex]A.p-20
B.20-40p
C.20-0.40p
D.0.40p-20
Answer:
B
Step-by-step explanation:
The amount of change Zelma should receive is 20-0.40p, or 20 dollars minus the total amount of the bananas (each pound multiplied by 40 cents).
Answer: Simple the answer is c.
Step-by-step explanation:
First start out with 20 witch is a full number and subtract .40 p from 20
.40 is the cost of each banana and p is the amount of bananas that will be purchased.
Bananas cost $0.48 per pound. If you spent $1.84, how many pounds of bananas did you
purchase?
Answer:
3 pounds of bananas
Step-by-step explanation:
1.84 ÷ 0.48 = 3.8333etc
since you can't buy 4 pounds with the money you have its 3 pounds of bananas
Can someone help me with these questions
Answer:
Step-by-step explanation:
When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:
[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]
For the first expression, we can use this proprtery to get:
[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]
Using exponent rules, you can combine the exponents by simply multiplying them to get:
[tex]a^\frac{x}{5}[/tex]
Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:
[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]
The a^2 and b^10 can be taken out of the radical because they have perfect roots:
[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]
The square root of 81 has a perfect root of 9. We have:
[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]
You can divide 9 and the square root of 3 by breaking up 9 into a product:
[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]
Simply by cancelling the 'a' terms to get:
[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]
Hi ..
I really need help on this one
Answer:
LCM of 3 and 2 is 6
so, firstly we had to make the denominator same:-
[tex] \frac{2(2a + 1) + 3(3a - 1)} {6} [/tex]
[tex] \frac{4a + 2 + 9a - 3}{6} [/tex]
[tex] \frac{13a - 1}{6} [/tex]
Step-by-step explanation:
hope this helps you!!!
XxITSCHOCOLOVERxX
The simplified equation of [tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex] is [tex]\frac{13a-1}{6}[/tex]
How to simplify an equation?[tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex]
[tex]\frac{2a+1}{3}+\frac{3a-1}{2} = \frac{2(2a+1)+3(3a-1)}{6}[/tex]
open the bracket in the numerator
Therefore,
[tex]\frac{2(2a+1)+3(3a-1)}{6}=\frac{4a+2 + 9a-3}{6}[/tex]
combine like terms in the numerator
[tex]\frac{4a+2 + 9a-3}{6}=\frac{4a+9a+2-3}{6}[/tex]
Hence,
[tex]\frac{4a+9a+2-3}{6}=\frac{13a-1}{6}[/tex]
Therefore, the final equation is as follows
[tex]\frac{2a+1}{3}+\frac{3a-1}{2}=\frac{13a-1}{6}[/tex]
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need help with this pls
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
What is volume of a shape?Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
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help please and thank you!
Answer:
A (0,3)
Step-by-step explanation:
The Y-intercept is where X equals 0
When X equals zero, Y equals 3.
What is the measure of the
missing angle?
64°
97°
?
116°
O
o
78°
72°
80°
83°
Answer:
? = 83°
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360°
? + 116° + 97° + 64° = 360° , that is
? + 277° = 360° ( subtract 277° from both sides )
? = 83°
Answer:
it is an obtuse angle so that should get rid of some of the answer choices
Step-by-step explanation:
i really need
help on this work it is really difficult help plsss
Answer: 105 square feet
Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.
Using GEMDAS, what is the simplified form of this expression?
63 x 4 = 2x2=3 - 17
Flight Times (h)
.
.
Alrjet Express
2. The double dot plot shows the
times, in hours, for flights of two
different airlines flying out of the
same airport. Compare the shapes,
centers, and spreads of the two
populations. Which airline's flights
had shorter flight times? (Examples 3 and 4)
:
+
4 5 6 7 8 9
+ Cross Country Airlines
10
1 2 3
The dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express.
What is a dot plot?It should be noted that a dot plot simply means a plot that is used to display the data values.
In this case, the dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express. This was depicted in the data visualization.
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The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?
A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees
Answer:
a 9 degrees
Step-by-step explanation:
so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9
The Bayview community pool has a snack stand where Juan works part time he tracks his total sales during each shift last month this box plot shows the results what fraction of Juan’s shifts had a total sales of $225 or more
first that answers correct gets brainliest and an extra 5 points
25/100
Step-by-step explanation:
if he has a fraction of a bar graph it is 25% if that grah so in other words 25% as a fraction is 25/100
Solve each inequality.
X+5 < 6
Pls help
Answer:
x<1
Step-by-step explanation:
You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign. So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out. on the other side 6-5 is equal to 1.
Answer: x<1
Answer: x < 1
Step-by-step explanation: x + 5 < 6
Subtract 5 from both sides,
x < 1
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
the sum of all interior angles in a polygon is
180( n - 2), n = number of sideswe know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be
180( 5 - 2) = 540 degrees.
540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.
The final interior angle of the pentagon measures 102°.
What is the measure of the fifth interior angle?We know that for a figure of n sides, the sum of its interior angles is equal to:
S = (n - 2)*180°
Then for a pentagon, 5 sides, we have:
S = (5 - 2)*180° = 3*180° = 540°
Then if X is the missing interior angle, we must have:
88° + 118° + 132° + 100° + X = 540°
438° + X = 540°
X = 540° - 438° = 102°
So the measure of the last interior angle is 102°.
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