Answer:
Barney can make 3 costumes
Step-by-step explanation:
T = 16 1/5 = 81/5 yards
O = 5 2/2 = 27/5 yards/costume.
We have the total fabric (T) and the unitari costume requirement (O). Now, if we want to know the amount of costumes that Barney can make, we can divide total fabric (T) by the unitari costume requirement (O), the result will be the amount of costumes (A).
[tex]A = \frac{T}{O}=\frac{\frac{81}{5}}{\frac{27}{5}} =\frac{81*5}{5*27} =\frac{81}{27}\\A = \frac{81}{27} =\frac{9}{3} = 3 costumes[/tex]
Finally, we can conclude that Barney can make 3 costumes.
Laura is trying to find the volume of a cone. So far she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do next.
Laura will need to subtract the volume from this shape in order to reveal a cone.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
Since Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of base.
Here, Laura has found the volume of a cylinder. which means, she will need to subtract volume from this shape in order to reveal a cone.
Then proceed to find the area of half the base multiplied by the height and then multiply this quantity,
where r is length of half the base. She will take this quantity and subract it from her previous quantity.
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A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?
Set up an equation for the perimeter, P, of the rectangle below. Solve for L.
I have no clue what to do here:
Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?
she is 10 miles slower than twice the speed of Brandon
62 +10 = 72
72/2 = 36
Brandon is driving 36 miles per hour
Sherman hopes to get at least a 90 average on his science test. He has one more test before the end of the year. His past test scores are 79, 94, 91, and 92.Write and solve an inequality that represents the situation. What is the lowest score Sherman can get on his final test and reach his? show your work
Answer:
94 points
Step-by-step explanation:
The mean is defined by the sum of the numbers divided by how many numbers there are, so:
[tex]\frac{(79+94+91+92+x)}{5}>=90\\\\\frac{(356+x)}{5}>=90[/tex]
Multiplying both sides by 5
[tex](356+x)>=450[/tex]
Subtracting 356 on both sides:
[tex]x>=94[/tex]
So Sherman has to obtain at least 94 points on his final test in order to get an average of at least 90.
<5 and <6 are vertical angles and m<5=33° find m<6
The measure of the angle 6 is 33°.
Given that, ∠5 and ∠6 are vertical angles and m∠5=33°.
What are vertical angles?Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
As we know, the vertical angles are congruent.
So, ∠5 = ∠6
⇒ ∠6 = 33°
Therefore, the measure of the angle 6 is 33°.
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What is 45.261 in expanded form
Mary Sue bought two dolls priced at 7.40 each. The tax was 0.98.She paid the clerk with a 20.00 bill. How much change should she get back
Harry has 3 bamboo poles of different lengths. The total combined length of the three poles when placed end to end is 47 1/2 inches long. Pole B is 1 3/4 times as long as pole A and pole C is 2 1/2 inches longer than pole A. Find the length of Pole C
To find the length of pole C, we can set up a system of equations using the given information. Solving the system of equations will give us the values of the lengths of poles A, B, and C. The length of pole C is found to be 14.5 inches.
Explanation:We can solve this problem by setting up a system of equations. Let's represent the length of pole A as 'a', the length of pole B as 'b', and the length of pole C as 'c'. We are given that pole B is 1 3/4 times as long as pole A, so we can write the equation b = 1.75a. We are also given that pole C is 2 1/2 inches longer than pole A, so we can write the equation c = a + 2.5.
Since the total combined length of the three poles is 47 1/2 inches long, we can write the equation a + b + c = 47.5. Now we have a system of three equations:
We can solve this system of equations to find the length of pole C. Substituting equation 1 and equation 2 into equation 3, we get:
a + 1.75a + (a + 2.5) = 47.5
Combining like terms, we get:
3.75a + 2.5 = 47.5
Subtracting 2.5 from both sides, we get:
3.75a = 45
Dividing both sides by 3.75, we get:
a = 12
Now that we know the length of pole A, we can substitute it into equation 1 to find the length of pole B:
b = 1.75 * 12 = 21
Finally, we can substitute the length of pole A and pole B into equation 2 to find the length of pole C:
c = 12 + 2.5 = 14.5
Therefore, the length of pole C is 14.5 inches.
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the segments below shown below could form a triangle
AC= 8
CB=7
BA=15
True or false?
Answer:
The answer is FALSE
Step-by-step explanation:
APEX
On a adventure trail, you biked 12 mi, walked 4 mi, ran 6 mi, and swam 2 mi. What fraction of the total distance did you bike? Write this number as a decimal.
You biked 1/2, or 0.5, of the total distance on the adventure trail. The total distance covered was 24 miles.
To calculate the fraction of the total distance that you biked, we first need to determine the total distance covered in the adventure trail.
Biking: 12 milesWalking: 4 milesRunning: 6 milesSwimming: 2 milesAdding these distances together gives us a total distance of:
Total Distance = 12 + 4 + 6 + 2 = 24 miles
The fraction of the distance biked is then given by the biking distance over the total distance:
Fraction Biked = 12 miles / 24 miles = 1/2
To express this fraction as a decimal, we perform the division:
Decimal Form = 1 ÷ 2 = 0.5
Therefore, you biked 1/2 (or 0.5) of the total distance.
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Match each point with one of the following rational number:
A=-5/16,B=-9/16,C=-0.7,D=-0.4
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A=9/16,B=-5/16,C=-0.4,D=-0.7
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Answer:
The coefficient is -4. Hope this helps!!
Step-by-step explanation:
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