Answer:
The greatest length she can cut to have equal length in all the cables, without a left over is 3 feet each
Step-by-step explanation:
in order to solve this, we treat the length of each cable as separate numbers for which we find the highest common factor, since we are told that they must all be of the same length. The highest common factor of two whole numbers, is the highest number which completely divides both number without a remainder. The highest common factor is found as follows:
Factors of 12 are : 1, 2, 3, 4, 6, and 12
factors of 15 are : 1, 3, 5, and 15
from the above, the highest factor that is common to both numbers is 3.
Therefore, if both cables are cut into 3 feet each, , a total of 9 pieces of cables (4 from the 12 feet cable and 5 from the 15 feet cable) of equal length will be obtained without any remainder.
Answer:
3 feet
Step-by-step explanation:
To solve this problem the heed to find the factors of 15 and 12
Factors of both numbers
12 : 1,2,3,4,6,12
15: :1.3,5,15
Then we find the highest common factor between them which is 3, 3 is a factor of both 12 and 15
remainder. The highest common factor is found as follows:
So, if both cables are cut into 3 feet each, you should have a total of 9 piecesa total of 9 pieces of cables.
From the 12 feet long cable you should have 3 feet x 4 meaning 4 pieces
From the 15 fert long cable you should have 3 feet x5 meaning 5 pieces
4+5 makes it 9 pieces without any remainder
A cone has a base that is a shape of a circle. The length across is 16 feet. The height is 8 feet and the slant height is 10 feet. What is the lateral area of the cone using 3 for pi
Answer:
The answer to your question is Surface area = 432 ft²
Step-by-step explanation:
Data
diameter = 16 ft
height = 8 ft
slant height = 10 ft
pi = 3
Process
1.- Write the formula to calculate the surface area
Surface area = pi x radius x slant height + pi x radius²
2.- Substitution
Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)
-Simplification
Surface area = 240 + 192
-Result
Surface area = 432 ft²
Solve the system using substitution.
y = 4x − 5
y = 2x + 1
A. (−2, −3)
B. (1, 3)
C. (−2, −13)
D. (3, 7)
Answer:its D (3,7)
Step-by-step explanation:
Izzy's dog is 10 1/2 years old. Paige's dog is 18 months old. How many years older is Izzy's dog?
Answer:
9 Years
Step-by-step explanation:
Paige's dog is 1 1/2 years old, so subtract 10 1/2 by 1 1/2 to get an answer of 9 years.
An aquarium holds 3D 3.75 gallons of water it has a length of 2 feet and a height of 1.5 ft what is the volume of the aquarium what is the width of the aquarium explain
The width of the aquarium is 0.1625 ft.
Step-by-step explanation:
Given,
The length (l) of the aquarium = 2 ft
Height (h) = 1.5 ft
The capacity of water it holds = 3.75 gallons
That means the volume (V) = 3.75 gallon
To find the width(b) of the aquarium.
Formula
The volume of a cuboid with l as length, b as width and h as height = lbh1 gallon = 0.13 cube ftSo,
V = 3.75×0.13 cube ft
According to the problem,
2×1.5×b = 3.75×0.13
or, b = (3.75×0.13)÷(2×1.5)
or, b = 0.1625 ft
Hence,
The width of the aquarium is 0.1625 ft.
Find the midpoint of the line segment joining the points A=(-6,-4) and B=(-2,6)
Answer:
The midpoint is (-4,1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-6+-2)/2 = -8/2 = -4
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(-4+6)/2 = 2/2 =1
The midpoint is (-4,1)
Answer:
The midpoint of the segment is at (-4,1)
Step-by-step explanation:
Since the midpoint of an line segment is the middle of the two x and y coordinates:
x-coords:
-6+-2 = -8
-8/2 = -4
y-coords
-4+6 = 2
2/2 = 1
The midpoint of the segment is at (-4,1)
Factor completely 16x^2-81
Answer:
(4x-9) times (4x+9)
Step-by-step explanation:
If 2+2=44 and 3+3= 96 and 4+4=168 and 5+5=2510 then what is 6+6=?
Answer:
3612
Step-by-step explanation:
boom
La persona A compra 12 barras de granola y 7 tazas de yogurt por $ 15.50. La persona B compra 6 barras de granola y 11 tazas de yogurt por $ 11.50. Encuentra el costo de cada artículo.
La última por favor
Answer:
12,89
Step-by-step explanation:
Answer:
$11.50
Step-by-step explanation:
(English) Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.
(Espanol)Las barras de granola cuestan $1 cada una y el yogur es de $.50 por taza. Si conectamos esto a cada ecuación, verás que 12 barras de granola equivalen a $12, y 7 tazas de yogur equivalen a $3.50, para un total de $15.50. La segunda declaración produciría $6 + $5.50, lo que equivale a $11.50.
Hope this is correct :)
espero que esto sea correcto :)
derek wants to determine the height of the top of the backboard on the basketball goal at the playground. he places a standard 12 inch ruler next to the goal post and measures the shadow of the ruler and the background. if the ruler had a shadow of 10 inches and the backboard has a shadow of 7.25 feet, then how high is the top of the backboard
Answer:
7.91
Step-by-step explanaton:
Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 11 inches and the backboard has a shadow of 7.25 feet, then about how high is the top of the backboard?
A.
6.14 feet
B.
8.92 feet
C.
7.91 feet
D.
9.17 feet
i was looking for the answer and jess couldn't find it and so i answered it and it told me the answer was 7.91.
it also told me that the reason for this was:
Since the backboard and the ruler are both vertical and the sun is at the same position in the sky, the triangle made by the backboard and its shadow is similar to the triangle made by the ruler and its shadow.
The ratio of the corresponding sides of the triangles are equal and the height of the backboard can be determined by solving the following proportion.
Therefore, the top of the backboard is 7.91 feet high.
I'VE TRIED EVERY METHOD POSSIBLE TO ANSWER THESE QUESTIONS AND KEEP HITTING DEAD ENDS SO PLS IF YOU CAN HELP PLS DO BECAUSE I'M STUCK
A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?
A. 3
B. 4
C. 9
D. 10
The circumference of an orange is approximately 37.68 centimeters. What is the approximate volume of the orange? Use 3.14 for π.
A. 226.08 cubic meters
B. 678.24 cubic meters
C. 904.32 cubic meters
D. 7234.56 cubic meters
Which of the following statements about the volume of a sphere and the volume of a cone are true? Select two answers.
A. You can find the volume of a sphere with only the diameter.
B. You can find the volume of a sphere with only the radius.
C. You can find the volume of a cone with only the height.
D. You can find the volume of a cone with only the diameter.
Answer:
D.
C.
A,B
Step-by-step explanation:
Given:
Diameter of a cone-shaped kitchen funnel = 6 inches
Height of a cone-shaped kitchen funnel = 7 inches
Radius of a cylindrical funnel = 4 inches
Height of a cylindrical funnel = 13 inches
To find: Number of cylindrical funnels required to fill a cone-shaped kitchen funnel
Solution:
Radius of a cone-shaped kitchen funnel (R) = 6/2 = 3 inches
Height of a cone-shaped kitchen funnel (H) = 7 inches
Volume of a cone-shaped kitchen funnel = [tex]\frac{1}{3}\pi R^2H=\frac{1}{3}\pi(3)^2(7)=21\pi[/tex] cubic inches
Radius of a cylindrical funnel (r) = 4 inches
Height of a cylindrical funnel (h) = 13 inches
Volume of a cylindrical kitchen funnel = [tex]\pi r^2h=\pi(4)^2(13)=208\pi[/tex] cubic inches
Number of cylindrical funnels required to fill a cone-shaped kitchen funnel = 9.9≈ 10
Option D. is correct
Given:
Circumference of an orange = 37.68 centimeters
To find: volume of the orange
Solution:
Let r be the radius of the orange
Circumference of an orange = 37.68 centimeters
[tex]2\pi r=37.68\\r=\frac{37.68}{2\pi}[/tex]
Volume of the sphere = [tex]\frac{4}{3}\pi r^3[/tex]
[tex]=\frac{4}{3}\pi \left ( \frac{37.68}{2\pi} \right )^3[/tex]
[tex]=\frac{4}{3}\frac{\left ( 37.68 \right )^3}{8(3.14)^2}=904.32[/tex] cubic metres
Volume of sphere can be computed using only the radius or using only the diameter.
Option A and B are correct.
For volume of cone, both radius and height are required
What is the length of a diagonal of a rectangular picture whose sides are 15 inches by 17 inches? Round to the nearest tenth of a inch.
Answer:
First, 32 rounded to the nearest ten is:
30
Step-by-step explanation:
When rounding to the nearest ten, like we did with 32 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
5x + 6 = 2(2x – 3)
( 30 pts 4 answering right)
Answer:
x =-12
Step-by-step explanation:
5x + 6 = 2(2x – 3)
Distribute
5x+6 = 4x -6
Subtract 4x from each side
5x-4x +6 = 4x-4x-6
x +6 = -6
Subtract 6 from each side
x+6-6 = -6-6
x = -12
Answer:
x = -12
Step-by-step explanation:
5x + 6 = 2(2x – 3)
5x + 6 = 4x - 6
x = -12
The population of Atlanta is 5,949,951. It is said to be growing at a rate of 1.3% yearly. What will the population be in 10 years? *
Answer:
6770299
Step-by-step explanation:
To work this out you would first divide 1.3 by 100, which gives you 0.013. Then you would add 0.013 to 1, which gives you 1.013. This is because you are finding a percentage increase and so you would convert the percentage to a decimal and add it to 1. Then you would multiply 5949951 by 1.013 to the power of 10. This is because you are finding the percentage increase over a span of 10 years.
1) Divide 1.3 by 100.
[tex]1.3/100=0.013[/tex]
2) Add 0.013 to 1.
[tex]0.013+1=1.013[/tex]
3) Multiply 5949951 by 1.013 to the power of 10.
[tex]5949951*1.013^{10} =6770298.9019004[/tex]
4) Round to the nearest whole number.
6770299
Which functions have a horizontal asymptote? Y = f(x) y = h(x) y = g(x) y = k(x) On a coordinate plane, 4 exponential functions are shown. Y = f (x) approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. It goes through (0, 1) and (negative 4, 5). Y = g (x) approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. It goes through (0, 1) and (negative 1, 3). Y = h (x) approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1. It goes through (0, 1) and (1, 3). Y = k (x) approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1. It goes through (0, 1) and (4, 5).
Answer:
Is all of them !!
Step-by-step explanation:
Because they all have asymptote
Answer:
all of them
Step-by-step explanation:
all have asymptote
Points D, E, and F are on circle C and EF ≅ DF. Circle C is shown. Line segments D C and E C are radii. Point F is on the opposite side. Lines are drawn from points D and E to point F. Tangents D G and E G intersect at point G. Angle D G E is 76 degrees and angles G D C and G E C are 90 degrees. D F and E F are congruent. What is the measure of ∠CDF? 14° 19° 26° 38°
Answer:
Letter C: 26
Step-by-step explanation:
Just took the test e2020
Answer:
c
Step-by-step explanation:
Is 29.99 the same as 30
Answer:
No
Step-by-step explanation:
What is the constant of proportionality of 3y = 27x
Answer:
9
Step-by-step explanation:
3y = 27x
We want to find k when y = kx
Divide each side by 3
3y/3 = 27x/3
y = 9x
The constant of proportionality is 9
Does a rectangle have four congruent sides?
Answer:
NO.
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. So, in other words, 2 shapes or figures in geometry are congruent if they have the exact same size and shape.
A rectangle has 2 pairs of parallel sides. One pair is longer than the other pair. Therefore, to be congruent, all sides have to be equal, which is a square, not a rectangle. So the answer is NO.
No a rectangle does not have four congruent sides instead it has two pairs of congruent sides.
A rectangle has two pairs of congruent sides that are opposite each other. Therefore, a rectangle does not have four congruent sides, but rather two pairs of congruent sides.
London inherited $823,000. If she wants to donate a tenth of her inheritance to charities, how much should she donate?
$
Answer:
She donated 82,300
Step-by-step explanation:
She donated a tenth of 823,000. A tenth is 10% or .10. A tenth of 832,000 is just 832,000 * .10. Or if it's a tenth, you can take off a zero
Answer:
$82,300
Step-by-step explanation:
823,000 times 0.10
= 82,300
B -17 =-2 is what I cant
Answer:
Please make your question more clear
Step-by-step explanation:
We can not read your question.
please explain your question better
Answer:
15
Step-by-step explanation:
PLEASE HELP
Why were some economists unsure of how to fight stagflation?
It only needs to be about a sentence.
Answer:
Stagflation is the combination of stagnation and inflation. Its simply mean continues increase in inflation while consumer demand for product is stagnant and there is relatively high unemployment
Reason;
Some economist hold that inflation is caused when demand for goods are high and demand for a product can not be controlled where there is no price regulation.
Answer: The reason was because Economists at that time believed that inflation only occurred when the demand for goods was high.
Step-by-step explanation:
Stagflation occurred in the 1970's in the United States under the rule of President Gerald R. Ford. Stagflation is a term used to describe a situation of both stagnation and inflation in the economy. The period was a tough time in the history of America. It occurred just after the tenure of President Johnson who contributed to the crisis through his policy of pumping money into the economy to increase spending without increasing taxes. The resultant effect of this was inflation.
America was also dependent on oil at that time, even though the price of oil was rapidly increasing. The period saw them importing more goods than exporting. Also, jobs were lost. Economists tried to solve the issue but it was difficult because they believed that inflation could only occur when the demand for goods was high.
For similar light intensity, compact fluorescent bulbs use about 25% of the energy of incandescent bulbs. Let's say you replaced a bulb of 100 W with a fluorescent bulb and that your utility charges $0.15/kW-hour. How many dollars would you save in electricity in the 10,000−hour lifetime of the bulb?
Answer:
$112.50¢
Step-by-step explanation:
please kindly check the attached file for explanation
$112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.
Given that compact fluorescent bulbs use about 25% of the energy of incandescent bulbs.
Hence, For a 100W bulb, the corresponding energy is:
Fluorescent bulb = 25% of 100W = 0.25 * 100 = 25W
Since the charges is $0.15/kW-hour, hence, for 10000 hour lifetime:
Total charges for Incandescent = 100W * 10000 hour * $0.15/kW-hour = $37500
Total charges for Fluorescent = 25W * 10000 hour * $0.15/kW-hour = $150000
Therefore the money saved in electricity = $150000 - $37500 = $112500
Hence $112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.
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$83 giraffe; 17% markup
Answer:
$97.11
Step-by-step explanation:
17% of $83 = $14.11
$83 + $14.11 = $97.11
Which equation is written in slope-intercept form?
y = 3 x minus 2
x = one-half y + 8
2 x + 5 y = 12
3 y = 8 x minus 5
Answer:
A) y = 3x - 2
Step-by-step explanation:
slope-intercept form is represented by y=mx+b
your answer choices look like this
A) y = 3x -2
B) x = 1/2y + 8
C) 2x + 5y = 12
D) 3y = 8x - 5
right away, you can eliminate B & C, since they just don't represent the formula correctly.
D is your trick answer choice. at first glance, it looks right, however, the 'y' is not isolated, which is a key interpretation of the formula.
therefore, from process of elimination, A is right because is correctly represents the formula of slope-intercept form.
i hope this helps!
stay safe!
:)
The equation written in slope-intercept form is y = 3x - 2. The correct option is A.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The equation of a line is given as:_
y = mx + c
The slope-intercept form is represented by y=mx+b. Right away, you can eliminate B & C, since they just don't represent the formula correctly.
D is your trick answer choice. at first glance, it looks right, however, the 'y' is not isolated, which is a key interpretation of the formula.
Therefore, from the process of elimination, A is right because is correctly represents the formula of slope-intercept form.
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A rectangular prism has a volume of 577.2 cubic feet. The prism is 5.2 feet long and 7.4 feet wide. What is the height of the prism?
~can someone help?
Answer:
The height is 15 feet
Step-by-step explanation:
The height is 15 feet
Answer:538.72
Step-by-step explanation:5.2×7.4=38.48
Soo..577.2-38.48=538.72
The diameter of a circle is 20 kilometers. What is the angle measure of an arc bounding a sector with an area 10 pi square kilometers. (Simplify fractions)
PLEASE ANSWER
Answer: I’m not sure
Step-by-step explanation: Good luck some one will answer soon i hope
Answer: The answer is 9.
Step-by-step explanation:
I didn't get a fraction. I plugged in the information. I got 10pi/400pi =x/360. After doing the calculations I then got 9 and it was correct when I plugged it into my assignment. Hope this helped.
X2 + y2 = 1 x = 1 Hina's work: substitute: (1)2 + y2 = 1 simplify: 12 + y2 = 1 isolate the variable: y2 = 0 solve for y: y = 0 Complete Hina's work to determine which statements are true for the system of equations. Check all that apply. The system of equations has no solutions. The system of equations has one solution. The system of equations has two real-number solutions. A solution to the system is (0, 0). A solution to the system is (1, 0).
Answer:
the correct answer is B.
Step-by-step explanation:
The system of equations has one solution. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x² + y² = 1
Now,
Put x = 1
1 + y² = 1
y² = 0
y = 0
Since for the given expression more than one solution can be possible but for the given condition a x = 1 only one solution is possible.
Thus, the system of equations has one solution. Option B is correct.
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Makayla charges 20 cents per square inch for her frame. How much will she charge for a frame that measures 18 inches on each side and has a width of 3 inches ?
Answer:
The answer is $10.8 (1,080 cents)
Step-by-step explanation:
First of all, let us calculate the area of the frame:
Area = Length × width = 18 × 3 = 54 in²
We are told that she charges 20 cents per square inch, therefore:
1 in² = 20 cents
∴ 54 in² = 20 × 54 = 1,080 cents.
We know that 100 cents = $1
∴ 1,080 cents = 1/100 × 1,080 = $10.8
Liz flips a coin 70 times. The coin lands heads up 21 times and tails up 49 times. Complete each statement. The theoretical probability of the coin landing heads up is what%.
The theoretical probability of the coin landing heads up is 30%.
Explanation:The theoretical probability of the coin landing heads up is 30%.
The number of times the coin lands heads up out of the total number of coin flips is called the experimental probability. In this case, the experimental probability is 21/70 = 0.3, or 30%.
The theoretical probability of getting heads on a fair coin is always 50%, but in this specific experiment, the experimental probability varied due to chance. As the number of coin flips increases, the experimental probability should approach the theoretical probability of 50%.
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Naomi works at a doctor's office. She surveyed a random sample of 100 patients and found that 70% of the patients surveyed take a daily vitamin. Naomi wanted to know if it is plausible that 75% of the entire population of the doctor's patients take a daily vitamin.
Naomi performed 360 trials of a simulation. Each trial simulated a sample of 100 patients under the assumption that 75% of the population takes a daily vitamin. The dot plot shows the results of the simulations.
What is the best conclusion for Naomi to make based on the data?
Answer:
"It is plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is fairly likely."
Step-by-step explanation:
I took the test!
Based on the dot plot, the majority of the simulated proportions fall between 0.65 and 0.85, which includes the value of 0.75 that Naomi is testing.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.
Naomi can draw the conclusion from the facts that it is implausible that 75% of the doctor's patients take a daily vitamin.
The dot plot reveals that most simulated proportions are below 75% and only a few are above it.
Further evidence that the sample percentage of 70% is unlikely to have originated from a population with an actual proportion of 75% is provided by the fact that the range of the simulated proportions is rather narrow.
The simulation performed by Naomi shows that the statistic that 75% of people take a vitamin every day is not plausible.
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