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Tom [10]
3 years ago
8

I need some help plz!!!

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
1.04 kilograms

1 gram = .001 kilogram
2x520= 1040
1040 x .001 = 1.04 kilograms
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The product of two integers is 96. One of them is-12, find the other numbers​
miss Akunina [59]

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

4 0
2 years ago
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Renee is playing a game online. If she gets a total of 25 points, she will have a new
Mashutka [201]

Answer:

20 points

Step-by-step explanation:

key words: difference

Take the amount of points she has and subtract what she has

25-5

4 0
3 years ago
The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers
sergejj [24]
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as \frac{1}{x} and \frac{1}{x+2} respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}

Taking LCM on left hand side:

\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\  \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}

Cross Multiplying the denominators:

24(2x+2)=7({ x^{2} +2x}) \\  \\ 
48x+48=7 x^{2} +14x \\  \\ 
7 x^{2} +14x-48x-48=0 \\  \\ 
7 x^{2} -34x-48=0 \\  \\ 



Using the quadratic formula to solve the above equation:
7 x^{2} -34x-48=0 \\  \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\  \\ 
x= \frac{34+- \sqrt{2500} }{14} \\  \\ 
x=\frac{34+-50 }{14} \\  \\ 
x=6 \\ x=- \frac{8}{7} 


Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

5 0
3 years ago
In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
3 years ago
2. What is the measure of angle A? ​
Gemiola [76]

Answer:

80 degrees

Step-by-step explanation:

100 + angle A = 180

180-100= 80

So, the measure of angle A is 80 degrees

8 0
2 years ago
Read 2 more answers
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