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Sophie [7]
3 years ago
10

32 + (-2) -2 please help

Mathematics
2 answers:
ozzi3 years ago
8 0

Answer:

28.

 Simple math.

alex41 [277]3 years ago
4 0

Answer:

28

Step-by-step explanation:

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The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is th
MArishka [77]

Answer:

The height of the triangle is: H = (5x^2 + x +3)

Step-by-step explanation:

Here, the area the triangle  is given as: 15x^4 + 3x^3 + 4x^2 - x  - 3

Also, base of the triangle  = (6x^2 -2)

Let us assume the height of the triangle = H units

Now, AREA of TRIANGLE =  \frac{1}{2}  \times B  \times H

\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2}  \times ( 6x^2-2)  \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}

Solving by LONG DIVISION, we get:

H = (5x^2 + x +3)

Hence, the height of the triangle is: H = (5x^2 + x +3)

6 0
4 years ago
The sum of the consecutive numbers is 111. What is the smallest of the three numbers?
sammy [17]
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number

The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36

Therefore, the smallest number is 36 because other numbers are 37 and 38.
8 0
3 years ago
Read 2 more answers
I need to know how to solve this and need an explanation along with answer. Thanks!
kakasveta [241]
First you should write what you know since we don't know how many helmets we will use x

helmets - 5(x)
bats - 3(6x)

then write out the equation

5(x)+3(6x)=4600

then solve so first multiple 5 times x and multiply 3 and 6x

5x+18x=4600

then combine like terms which are 5x and 18x

23x=4600

then divide both sides by 23

x=200

200is the number of helmets and since there are six times the bats as helmets you multiply that by six and get

helmets=200
bats=1200
4 0
3 years ago
What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
4 years ago
Read 2 more answers
Leon wants to buy a belt that costs $22. He also wants to buy some shirts that are $10 each. He has $80 to spend. Write an inequ
liubo4ka [24]

Answer:

67

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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