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Reika [66]
4 years ago
15

Which expression can represent this numerical expression? 1/2+1/4

Mathematics
2 answers:
Ad libitum [116K]4 years ago
8 0

Answer:

3/4

Step-by-step explanation:

Novosadov [1.4K]4 years ago
8 0

For this case we have the following expression:

\frac {1} {2} + \frac {1} {4}

So, we have:

\frac {1} {2} + \frac {1} {4} = \frac {4 * 1 + 2 * 1} {2 * 4} = \frac {4 + 2} {8} = \frac {6 } {8}

Simplifying we have to finally:

\frac {6} {8} = \frac {3} {4}

ANswer:

\frac {3} {4}

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How many math books and English books did Nicole purchase?
Ksju [112]
Create a system if equations to solve this.

First equation:
25m + 24e = 220

Second equation:
m + e = 9

Then you must solve the second equation for a variable.

Change m + e = 9 to e = 9 - m.

Then substitute (9 - m) for e in the first equation.

So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.

Now you can solve the first equation because the only variable in it is m.

25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)

Now plug in 4 for m in the second equation.

m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)

m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
6 0
3 years ago
1. A single scoop ice cream cone is made up of a cone filled with ice cream and a half
tatiyna

Answer:

2.515

Step-by-step explanation:

1. First you add the equation for a cone and a half sphere

(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)

2. You replace h with 2*r2 because height is 2*Diameter

(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)

3. You make the equation equal 100

(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)=100

4. Solve for

r=2.515

8 0
4 years ago
The owner of a fish market has an assistant who has determined that the weights of catfish are normally​ distributed, with mean
LiRa [457]

Answer:

P(X\geq 3.4)=0.0228

Step-by-step explanation:

Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.

-We calculate the  probability of a mean of 3.4 as follows:

#First determine the z-value:

z=\frac{\bar X -\mu}{\sigma/\sqrt{n}}\\\\=\frac{3.4-3.2}{0.8/\sqrt{64}}\\\\=2.000

#We then determine the corresponding probability on the z tables:

Z(X\geq 3.4)=1-P(X

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228

8 0
3 years ago
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
poizon [28]

(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

centre = (\frac{1}{2}(3-7),\frac{1}{2}(8+2)) = (-2,5)

Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


8 0
3 years ago
Simplify this expression: 19 – (–8) – (–14) = ? <br> A. –7<br> B. –3<br> C. 41<br> D. 25
Mrac [35]
The answer is C. 41. 
6 0
4 years ago
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