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ikadub [295]
3 years ago
13

There is $100 it goes up 10% how much is it

Mathematics
2 answers:
Nitella [24]3 years ago
8 0
To find this is asking what is 10% of 100. Remember that in word problems of always means *(multiply). So that means that we need to multiply 100 times 10%, or
.10. So 100 times .10 is 10. If 10 is 10% of 100, then you need to add the extra 10% to the original number. So add 10 + 100. Now the answer would be $110. Hope this helps
Umnica [9.8K]3 years ago
5 0
Its 110 cuz it goes up 10% if it was 20% it would be 120
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What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and wi
nlexa [21]

Answer:

<em>Option D: 159 3/8 cm^3 </em>

Step-by-step explanation:

1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3

2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>

3. Substitute and compute the volume through algebra:

5 cm * 8 1/2 cm * 3 3/4 cm =

5 cm * 17/2 cm * 15/4 cm =

85/2 cm^2 * 15/4 cm =

1275/8 cm^3 =

<em>159 3/8 cm^3</em>

4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>

3 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?
amm1812
1. Find the equation of a line passing through the point (4, –7) parallel to the line 4x + 6y = 9. 2. Find the equation of a line passing through the point (–3, 8) perpendicular to the line 2x – 7y = –11. 3. Find the equation of a line passing through the point (5, 4) perpendicular to the line –4x – 3y = 6. 4. Find the equation of a line passing through the point (–2, –1) perpendicular to the line 5x + 6y = –6. 5. Find the equation of a line passing through the point (–7, 2) parallel to the line –4x + 10y = –5. 6. Find the equation of a line passing through the point (8, –9) perpendicular to the line 3x + 8y = 4. 
6 0
3 years ago
laura has a mass of 60kg and is sitiing 265cm from the fulcrum of a seesaw. bill has a mass of 50kg. how far from the fulcrum mu
pickupchik [31]

Answer:

318 cm.

Step-by-step explanation:

Let x represent the distance between Bill and fulcrum.

We have been given that Laura has a mass of 60 kg and is sitting 265 cm from the fulcrum of a seesaw. Bill has a mass of 50 kg.

To balance the seesaw, the product of Laura's weight and her distance from fulcrum of seesaw should be equal to the product of Bill's weight and his distance from fulcrum of seesaw as:

50\text{ kg}\cdot x=60\text{ kg}\cdot 265\text{ cm}

\frac{50\text{ kg}\cdot x}{50\text{ kg}}=\frac{60\text{ kg}\cdot 265\text{ cm}}{50\text{ kg}}

x=\frac{6\cdot 265\text{ cm}}{5}

x=\frac{6\cdot 53\text{ cm}}{1}

x=318\text{ cm}

Therefore, Billy should be 318 cm far from the fulcrum to balance the seesaw.

4 0
3 years ago
Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region
Ganezh [65]

Answer:

first exercise

V = 16 π

second exercise

V= 68π/15

Step-by-step explanation:

Initially, we have to plot the graph x = (y − 5)2 rotating around y = 3 and the limitation x = 4

<em>vide</em> picture 1

The rotation of x = (y − 5)2 intersecting the plane xy results in two graphs, which are represented by the graphs red and blue. The blue is function x = (y − 5)2. The red is the rotated cross section around y=3 of the previous graph. Naturally, the distance of "y" values of the rotated equation is the diameter of the rotation around y=3 and, by consequence,  this new red equation is defined by x = (y − 1)2.

Now, we have two equations.

x = (y − 5)2

xm = (y − 1)2 (Rotated graph in red on the figure)

The volume limited by the two functions in the 1 → 5 interval on y axis represents a volume which has to be excluded from the volume of the 5 → 7 on y axis interval integration.

Having said that, we have two volumes to calculate, the volume to be excluded (Ve) and the volume of the interval 5 → 7 called as V. The difference of V - Ve is equal to the total volume Vt.

(1) Vt = V - Ve

Before start the calculation, we have to take in consideration that the volume of a cylindrical shell is defined by:

(2) V=\int\limits^{y_{1} }_{y_{2}}{2*pi*y*f(y)} \, dy

f(y) represents the radius of the infinitesimal cylinder.

Replacing (2) in (1), we have

V= \int\limits^{5 }_{{3}}{2*pi*y*(y-5)^{2} } \, dy - \int\limits^{7 }_{{5}}{2*pi*y*(y-5)^{2} } \, dy

V = 16 π

----

Second part

Initially, we have to plot the graph y = x2 and x = y2, the area intersected by both is rotated around y = −7. On the second image you can find the representation.

<em>vide</em> picture 2

As the previous exercise, the exclusion zone volume and the volume to be considered will be defined by the interval from x=0 and y=0, to the intersection of this two equations, when x=1 and y = 1.

The interval integration of equation y = x2 will define the exclusion zone. By the other hand, the same interval on the equation x=y2 will be considered.

Before start the calculation, we have to take in consideration that the volume of a cylindrical shell is defined by:

(3) V=\int\limits^{x_{1} }_{x_{2}}{2*pi*x*f(x)} \, dx

Notice that in the equation above, x and y are switched to facilitate the calculation. f(x) is the radius of the infinitesimal cylinder

Having this in mind, the infinitesimal radius of equation (3) is defined by f(x) + radius of the revolution, which is 7. The volume seeked is the volume defined by the y = x2 minus the volume defined by x=y2. As follows:

V= \int\limits^{1 }_{{0}}{2*pi*x*(\sqrt{x} + 7) } \, dy - \int\limits^{1 }_{{0}}{2*pi*x*(x^{2}+7) } \, dy

V= 68π/15

6 0
3 years ago
0.45 x 10 to the 2nd PLEASE DO A EXPLAINTION HOW YOU GET THE ANSWER 5TH GRADE MATH ​
vekshin1

Answer: 45

Step-by-step explanation:

When multiplying by 10^2 you first multiply 10 by itself twice like 10x10=100 and then multiply .45x100=45 because multiplying by 100 simply moves the decimal place over twice to the right

7 0
3 years ago
Read 2 more answers
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