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erica [24]
2 years ago
9

Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January.

Then lost another 3.7 kilograms in February. Jon wants to know the total change in his weight was over these three months. Which of the following equations matches the situation above
Mathematics
2 answers:
dezoksy [38]2 years ago
6 0

Answer:

2.2+(-1.5)+(-3.7)=?

Step-by-step explanation:

gogolik [260]2 years ago
5 0

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

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Jose spent 20% of his allowance on baseball cards. His allowance is $10. How much did he spend on baseball cards?
JulijaS [17]

Answer:

Jose spent $2 on baseball cards.

4 0
3 years ago
An algebra class has 21 students who all participate in a welcome activity introducing themselves to each other in pairs. One st
Nuetrik [128]

The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively

<h3>How to determine the values of n and r?</h3>

The number of students in the class is 21.

This represents the value of n

i.e. n = 21

Each student shakes hand with another student (i.e. 2 students per handshake)

This represents the value of r

i.e. r = 2

Hence, the values of n and r are 21 and 2, respectively

Read more about combination at:

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3 0
2 years ago
5.01 *10^-7-30*10^-9
777dan777 [17]

Answer:

\large\boxed{4.71\times10^{-7}}

Step-by-step explanation:

5.01\times10^{-7}-30\times10^{-9}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=5.01\times10^{-9+2}-30\times10^{-9}\\\\=5.01\times10^{-9}\cdot10^2-30\times10^{-9}\\\\=(5.01\cdot10^2)\times10^{-9}-30\times10^{-9}\\\\=(5.01\cdot100)\times10^{-9}-30\times10^{-9}\\\\=501\times10^{-9}-30\times10^{-9}\qquad\text{distribute}\\\\=(501-30)\times10^{-9}\\\\=471\times10^{-9}\\\\=4.71\cdot10^2\times10^{-9}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=4.71\times10^{2+(-9)}\\\\=4.71\times10^{-7}

or

5.01\times10^{-7}-30\times10^{-9}\\\\=5.01\times10^{-7}-30\times10^{-7+(-2)}\\\\=5.01\times10^{-7}-30\times10^{-7}\cdot10^{-2}\\\\=5.01\times10^{-7}-(30\cdot10^{-2})\times10^{-7}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=5.01\times10^{-7}-\left(30\cdot\dfrac{1}{10^2}\right)\times10^{-7}\\\\=5.01\times10^{-7}-\left(30\cdot\dfrac{1}{100}\right)\times10^{-7}\\\\=5.01\times10^{-7}-(30\cdot0.01)\times10^{-7}\\\\=5.01\times10^{-7}-0.3\times10^{-7}\qquad\text{distribute}\\\\=(5.01-0.3)\times10^{-7}\\\\=4.71\times10^{-7}

4 0
2 years ago
Quadrilateral EFGH is on a coordinate plane.Segment GH is on the line 2x+y=2, and segment FE is on the line 2x+y=4. Which statem
avanturin [10]

Answer: OPTION D.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

You know that the segment GH is on this line:

2x+y=2

Solving for "y", you get:

y=-2x+2

So you can identify that:

m=-2\\b=2

The segment FE is on this line:

2x+y=4

Solving for "y", you get:

y=-2x+4

Then you can identify that:

m=-2\\b=4

As you can notice, the lines have the same slope of -2. This means that they are parallel.

4 0
2 years ago
Read 2 more answers
A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions s
Bad White [126]

Answer:

P(3,0)

Step-by-step explanation:

We want to find the coordinates of P(x,y), that partitions \overline{AB} in the ration m:n=2:1.

where (x_1,y_1)=A(-3,-2) and (x_2,y_2)=B(6,1).

This is given by:

x=\frac{mx_2+nx_1}{m+n}

y=\frac{my_2+ny_1}{m+n}

We substitute the values to get:

x=\frac{2*6+1*-3}{2+1}

x=\frac{9}{3}=3

y=\frac{2*1+1*-2}{2+1}

y=\frac{2-2}{2+1}

y=\frac{0}{3}=0

The coordinates are (3,0)

3 0
2 years ago
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