Answer:
7
Step-by-step explanation:
15+6=21/3=7
Sue wants to increase 160 by 4%
She writes down
160 x 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4, write down
what she should have multiplied by
Bill wants to decrease 160 by 6%
b) Complete the statement below to show how Bill can decrease 160 by 6%
Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
So, firstly, Sue wanted to increase 160 by 4%
Increased value = 160 + 4% of 160
Now, 4% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]
Thus, we get:
[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04
Now, Bill wants to decrease 160 by 6%
Decreased value = 160 - 6% of 160
Now, 6% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]
Thus, we get:
[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]
Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
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The correct multiplier Sue should have used is 1.04 to increase 160 by 4%. To decrease 160 by 6%, Bill should use the multiplier 0.94.
a)She incorrectly multiplied 160 by 1.4. The correct multiplier should be 1.04.
To increase a number by a percentage, you first find the decimal equivalent of the percentage.
For 4%, it is 0.04.
Add this decimal to 1.
(1 + 0.04 = 1.04).
Now, multiply the original number (160) by 1.04.
Therefore, 160 x 1.04
= 166.4.
b) Bill wants to decrease 160 by 6%. To find the correct multiplier,
First, find the decimal equivalent of 6%, which is 0.06.
To decrease a number by this percentage, subtract the decimal from 1.
(1 - 0.06 = 0.94).
Now, multiply the original number (160) by 0.94.
Therefore, 160 x 0.94
= 150.4.
Can someone please help? I need help ASAP
Answer:
A) x + y = - .7
B) -3x + y = 11.7
We'll multiply A) by 3
A) 3x + 3y = -2.1 the add it to B)
B) -3x + y = 11.7
4 Y = 9.6
Y = 9.6 / 4 = 2.4
-3x + (9.6 / 4) = 11.7
-3x = 9.3
x = -3.1
Step-by-step explanation:
What is the volume of the following rectangular prism?
4 units
Volume =
I units
Answer:
sorry i dont quite understand, were you given more information
Step-by-step explanation:
The required volume of the rectangular prism is unknown and cannot be determined based on the given information.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
In this case, we are given that the length and width of the rectangular prism are 4 units, but we don't have any information about the height. So, we cannot determine the volume of the rectangular prism without knowing its height.
Therefore, the volume of the rectangular prism is unknown and cannot be determined based on the given information.
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Factor completely.
28 - 7x^2
Answer:
7 (2 + x ) ( 2 − x )
Lucy needs to hire a host. Host A is offering his services for an initial $45 in addition to $16.25 per hour.
Hostess B is offering her services for an initial $51 in addition to $13.50 per hour. When will the two hosts
charge the same amount of money? If necessary, round your answer to the nearest tenth.
At approximately
hours, both hosts will charge about the same amount.
Alright!
To start this problem, we need to come up with equations that represent both of the Hosts' services
Key equation:
y = mx + b
x = the # of hours
Host A:
An initial $45 means this will be our constant
$16.25 per hour means it needs the variable x
Host A equation: y = 16.25x + 45
Host B:
An initial $51 means this will be our constant
$13.50 per hourmeans it needs the varible x
Host B equation : y = 13.50x + 51
To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.
16.25x + 45 = 13.50x + 51
Now, Solve!
16.25x = 13.50x + 51 - 45
16.25x = 13.50x + 6
16.25x - 13.50x = 6
2..75x = 6
now divide to find x!
x = 6 ÷ 2.75
x = 2.18
but we must round to the nearest tenth, so your final answer is
x = 2.2 hours!
Hope I helped! Comment if you have any questions about my solution :)
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed. A sphere with height h and radius r. A cylinder with height h and radius r. Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi) PLEASE HELLLLP
Answer:
C
Step-by-step explanation:
its not A for sure B and D dont make sense
Answer:
C
Step-by-step explanation:
Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from
Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip
from Los Angeles to El Paso was $1136.79, and they expect that the trip back
to will cost the same. How much will Kevin have to pay for the round-trip?
©
__
A. $505.21
B. $757.86
c. $82452
D. $623.54
O
Kevin has to pay $757.86 for the round trip.
A cost function is a mathematical formula used to chart how production expenses will change at different output levels.
How find how much will Kevin have to pay for the round-trip?
Given Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip from Los Angeles to El Paso was $1136.79, and they expect that the trip back will cost the same.
It’s B because 1136.79 x 2 is 2273.58.
2273.58/3 because there are three people splitting the ticket is 757.86.
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Find the measures of the numbered angles in the kite? (image below please help)
answer
1, 2, 3, 4 = 90 degrees
5 = 41 degrees
6 = 39 degrees
7, 9 = 51 degrees
8, 10 = 49 degrees
step-by-step explanation
since this is a kite, the lengths p and q (the diagonals of the kite) are perpendicular to each other, so angles 1, 2, 3, and 4 are all 90 degrees
to find angle 5, we know that the kite is symmetric across the horizontal diagonal, so angle 5 would be the same as 41 degrees
to find angle 6, we also look at symmetry, so angle 6 is the same of 39 degrees
to find angle 7, all three angles in a triangle, bottom left, must add up to 180. since we know angle 3 = 90 and angle 6 = 39, angle 7 = 180 - 90 - 39 = 51 degrees
because of symmetry, angle 9 would be equal to angle 7 = 51 degrees
to find angle 8, all three angles in a triangle, bottom right, must add up to 180. since we know angle 4 = 90 and angle 5 = 41, angle 8 = 180 - 90 - 41 = 49
because of symmetry, angle 10 would be equal to angle 8 = 49
in polar coordinates, the axis determined by theta =0 is called the ____ axis.
Answer:
The answer is polar.
Step-by-step explanation:
I just finished the quiz
Examine the diagram. It is not drawn to scale. A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees. Choose the statements that are true based on the diagram. ∠A is supplementary to the exterior angle. ∠A and the 80° angle are remote interior angles. 80° + m∠B + 150° = 360°. ∠B measures 70°. ∠A measures 40°.
Answer:
∠A is supplementary to the exterior angle and ∠B measures 70°
Step-by-step explanation:I just answered this question and got it right.
The answer is A and D.
- got it right on edge
- have a good day :)
Vanessa measured 1 2/3 quarts of cherries and 1/3 quart of peaches. How many pints of fruit did Vanessa measure altogether?
Answer:
4 pints
Step-by-step explanation:
All we need to do is convert the amount of each fruit from quarts to pints and then add them up.
For Cherries:
She measured [tex]1\frac{2}{3}[/tex] quarts.
1 quart = 2 pints
=> [tex]1\frac{2}{3}[/tex] quarts = [tex]1 \frac{2}{3} * 2 = \frac{5}{3} * 2 = \frac{10}{3}[/tex] pints
For Peaches:
She measured [tex]\frac{1}{3}[/tex] quarts.
=> [tex]\frac{1}{3}[/tex] quarts = [tex]\frac{1}{3} * 2 = \frac{2}{3}[/tex] pints
Hence, the amount of fruits she measures altogether, in pints, is:
[tex]\frac{10}{3} + \frac{2}{3} = \frac{12}{3} = 4[/tex]
She measured 4 pints of fruit altogether.
A female dust mite is 0.42 millimeter long. How do u write this measurement in scientific notation
Final answer:
The length of the female dust mite, 0.42 millimeters, is written in scientific notation as 4.2 × 10[tex]10^{-1}[/tex]millimeters.
Explanation:
To write the measurement of a female dust mite, which is 0.42 millimeter long, in scientific notation, we first identify the most significant digit and the decimal point. In scientific notation, numbers are typically written in the form of a single digit from 1 to 9, followed by a decimal point and the remaining significant digits, and then multiplied by 10 raised to the appropriate exponent.
The number 0.42 can be written as 4.2 times 10 to the power of negative one (because the decimal point has been moved one place to the right to place it after the first non-zero digit, 4).
So, in scientific notation, the length of a female dust mite is 4.2 × [tex]10^{-1}[/tex] millimeters.
what is the correct method to label a line with point U and W on it
Answer:
The answer is B.
Step-by-step explanation:
Madison wants to buy a new lunch box. One measure 20cm x 18cm x 9cm. Another one measures 18cm x 18cm x 10cm. Which would hold more?
Answer:
Neither, they both carry the same amount.
Step-by-step explanation:
We can solve this from just comparing the volumes of both boxes.
20 x 18 x 9 = 3240
18 x 18 x 10 = 3240
Both have the same volume, so they could carry the same amount.
Hope this helped! :)
What is 17n when n = 0
Answer:
0
Step-by-step explanation:
anything multiplied by zero is zero
Answer:
0
Step-by-step explanation:
17n
= 17(0)
= 0
When you multiply a number by zero, your answer is always going to be zero.
Hope this helps:)
solve the system of equations
12x-5y=-20
y=x+4
x=_______
y=_______
Answer:
x = 0
y = 4
Step-by-step explanation:
Given
12x - 5y = -20
y = x + 4
Substitute x + 4 for y in the first equation
12x - 5(x + 4) = -20
Expand the bracket
12x -5 X x - 5 x 4 = -20
12x - 5x - 20 = -20
7x - 20 = -20
Add 20 to both sides to eliminate -20 on the left side
7x - 20 + 20 = -20 + 20
7x = 0
Divide both sides by 7 to isolate x
7x/7 = 0/7
x = 0
Substitute 0 for x in either equation to get y
Using equation 2, we have
y = x + 4
= 0 + 4
= 4
x = 0
y = 4
8+24 divide (2x6) - 4
Final answer:
Using the order of operations, first calculate the value within the parentheses, perform the division, then proceed with the addition, and finally subtract to find that the solution to the expression 8+24 ÷ (2×6) - 4 is 6.
Explanation:
To address the problem 8+24 ÷ (2×6) - 4, the correct application of the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is required.
First, handle the expressions inside the parentheses:
Calculate the value within the parentheses: (2×6) equals 12.Perform the division: 24 ÷ 12 equals 2.Proceed with the addition: 8 + 2 equals 10.Finally, subtract 4 from the result: 10 - 4 equals 6.Therefore, the final answer to the expression is 6.
Hazel's town voted on a new speed limit. 10% of the 70 voted were in favor of the new speed limit. How many votes were not in favor?
Answer:
63 votes
Step-by-step explanation:
10% of 70 is 7
70-7=63
Answer:
6 or 7 votes
Step-by-step explanation:
Which dot plot is symmetric? Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 3 dots, 1 has 6 dots, 2 has 8 dots, 3 has 8 dots, 4 has 6 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 8 dots, 3 has 8 dots, 4 has 2 dots, 5 has 4 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 8 dots, 1 has 7 dots, 2 has 6 dots, 3 has 5 dots, 4 has 4 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 1 dot, 1 has 3 dots, 2 has 4 dots, 3 has 7 dots, 4 has 8 dots, 5 has 5 dots.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Simplify the following polynomial and write the answer in standard form.
(-2x^2 +5x² - 4x+8) - (-2x^2 + 2x - 3)
A. 5x^2 - 6x +11
B. –2x+5+5x^2
C. 4x^3 + 5x^2 - 6x - 11
D. 5x^2 - 6x – 11+4x^3
Alvin has a prism-like water tank whose base area is 0.90 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most?
Answer:
2 fish
Step-by-step explanation:
From 2010 to 2015, a group of researchers conducted an experiment using two types of pain medication: pill A and pill B. The researchers gave the doctors the pills in unidentified packages so they would not know which package was pill A and which package was pill B. The patients participating did not know which pill they received either. What is this an example of?
a Group of answer choices
b The effect of a treatment unit
c The placebo effect
d A control group study
e A double-blind study
f Voluntary response bias
Answer:
My best choice would be e
Step-by-step explanation:
The given example is of double blind study.
The correct option is (e).
What is double blind study?A type of clinical trial in which neither the participants nor the researcher knows which treatment or intervention participants are receiving until the clinical trial is over. This makes results of the study less likely to be biased. This means that the results are less likely to be affected by factors that are not related to the treatment or intervention being tested.
Given,
Two medicines A and B.
Both are without label, neither the doctor knows nor the patient can identify the pills.
As per definition above, It is an example of double blind study .
Hence, option (e) is correct.
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Factor: −22d³+33d²+33
Answer:
-2d^3 +3d^2 +3
Step-by-step explanation:
The biggest number you can take out of each term would be 11, so you divide each term individually by 11.
-22/11= -2
33/11=3
33/11=3
Then you keep the variables the same because you don't have a d in every term, therefore you cannot remove a d.
How much would $200 invested at 4% interest compounded continuously be worth after 8 years
Answer: 264
Step-by-step explanation:
Which pyramid has a greater volume and how much greater is its volume?
The volume of the pyramid on the left is greater by 8in 3
The volume of the pyramid on the left is greater by 24 in.
The volume of the pyramid on the right is greater by 8 in 3.
The volume of the pyramid on the right is greater by 24 in.
Answer:
The volume of the pyramid on the left is greater by 8 inches.
The volume of the pyramid on the left is greater by 8 inches.
The answer is option A.
What is a pyramid called in math?If the base of the pyramid is in the shape of a pentagon (base with 5 sides), then it is called a pentagonal pyramid. As the pentagon has 5 sides, then the pentagonal pyramid has the following properties: No. of Faces: (5+1)=6. No.of Vertices: (5+1)=6.
What is the example of a pyramid?The pyramids of Giza, Egypt form the most common example of the three-dimensional pyramid geometric shape in real life. The Great Pyramid of Giza is one of the oldest and largest pyramids present in the world.
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PLEASE HELP IM CRYING RN PLEASE ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST AND 100 POINTS
which is a rule that describes the translation of a point from (-5,4) to (-1,2)
A. (x,y)->(x-4,y-2)
B. (x,y)->(x+4,y-2)
C. (x,y)->(x+4,y+2
D. (x,y)->(x-4,y+2)
Answer: B (x,y) --> (x + 4, y - 2)
Step-by-step explanation: When you add -5+4=-1, and when you subtract 2 from 4 it equals to 2, which gives you the second coordinates, this means that x+4 and y-2 is the answer.
a rubber ball is dropped on a hard surface takes a sequence of bounces, each one 3/5 as high as the preceeding one. If this ball is dropped at 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for the fifth time?
Answer:
StepThe answer is 36 14/125 feet
-by-step explanation:
Final answer:
The total vertical distance the ball has traveled when it hits the surface for the fifth time is 38 feet.
Explanation:
To find the total vertical distance the ball has traveled when it hits the surface for the fifth time, we need to analyze the sequence of bounces. Each bounce is 3/5 as high as the preceding one, meaning the height decreases by a factor of 3/5 each time.
If the starting height is 10 feet, the first bounce will reach a height of 10 * (3/5) = 6 feet. The second bounce will reach a height of 6 * (3/5) = 3.6 feet, and so on.
To find the total distance, we need to sum up the heights of all the bounces. This can be calculated using the formula for the sum of a geometric series:
Sum = a * (1 - r^n) / (1 - r), where a is the initial term, r is the common ratio, and n is the number of terms.
In this case, a = 10, r = 3/5, and n = 5. Plugging in the values into the formula, we get:
Sum = 10 * (1 - (3/5)^5) / (1 - 3/5) = 10 * (1 - 243/625) / (2/5) = 10 * (382/625) / (2/5) = 10 * (382/625) * (5/2) = 191 * 5 / 25 = 38 feet.
66 hundreds divided by 10 =
Answer:
660
Step-by-step explanation:
66x100=6600
Divide 6600 by 10
=660
You paid $600 for a new guitar. Your guitar costs $40 more than twice the cost of your friend's guitar. How much did your friend's guitar cost?
Cost of your guitar = $ 600
Let your friend's guitar's cost be = n
According to the question =
Your guitar costs $ 40 more than twice the cost of your friend's guitar which is n ,but your guitar's cost is $ 600.
So ,the linear equation for this will be =
= 2n+$40 = $600
= 2n = $600-$40
= 2n = $ 560
= n = $ 560/2
= n = $ 280
Thus ,the cost of your friend's guitar is $ 280.The cost of your friend's guitar is $280 by creating an equation based on the cost comparison to your own guitar, and then solving for the variable representing your friend's guitar's cost.
You paid $600 for a new guitar, which costs $40 more than twice the cost of your friend's guitar. To find the cost of your friend's guitar, let's denote the cost of your friend's guitar as x. According to the information given, your guitar's cost can be represented by the equation 2x + $40 = $600. Solving for x will give us the following steps:
Subtract $40 from both sides of the equation: 2x = $600 - $40.
This simplifies to 2x = $560.
Divide both sides by 2: x = $560 / 2.
Therefore, x equals $280.
The cost of your friend's guitar is $280.
x − 7 = 46 − 9(x + 7)
x =
Answer:
x=-1
Step-by-step explanation:
x − 7 = 46 − 9(x + 7)
distribute
x-7 = 46 - 9x -63
Combine like terms
x-7 = -9x-17
Add 9x to each sid
x-7+9x = -9x+9x -17
10x-7 = -17
Add 7 to each side
10x -7+7 = -17+7
10x = -10
10x/10 = -10/10
x = -1
Answer:
x = -1
Step-by-step explanation:
x − 7 = 46 − 9(x + 7)
x - 53 = -9x - 63
10x = -10
x = -1