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2 years ago

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Mathematics

2 answers:

Tanzania [10]2 years ago

5 0

Answer:

1 and 13 is the only 2 numbers that can be used

victus00 [196]2 years ago

3 0

Answer:

Lrge number is 8, Small number is 5

Step-by-step explanation:

Lets use two variables, g and t

$G-T=3\\G+T=13\\$

Lets find G and subsitute the equation

$G-T=3\\G=3+T$

SOlve

$(3+T)+T=13\\3+2T=13\\2T=10\\T=5\\G=8$

CHECK:

$8-5=3\\3=3\\8+5=13\\13=13$

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The expression πr² is used to determine the area of a circle, where r is the length of the radius. What does the expression π(5b

Monica [59]

The answer is c because all you are doing here is subbing the variable r for 5b.

8 0

3 years ago

Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r

GarryVolchara [31]

Answer:

The infant mortality rate in Korea based on equality provided is:

1.8

Step-by-step explanation:

Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:

7 (m + 3) - 2 = 8m + 17.2
7m + 21 - 2 = 8m + 17.2
7m + 19 = 8m + 17.2
19 - 17.2 = 8m - 7m
1.8 = m

As you can see, once the equality of the expressions is solved, a rate of 1.8 is obtained.

6 0

3 years ago

Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?

Phoenix [80]

Answer: (-6, 5)

Step-by-step explanation:

Use the Midpoint Formula: $\dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)$

Separate the x's and y's and solve them individually:

$\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5$

So, the k-coordinate is (-6, 5)

3 0

3 years ago

what is the greatest number of tables you could use to serve dinner to 55 guest so that each table has a different number of gue

Natali [406]

15 because it fits with the 55

5 0

3 years ago

If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children <-- We want to find this

a + c = 541 Equation for number of people

2.25a + 1.75c = 1041.25 Equation for money

Rearrange the equation for people. Isolate the variable you don't want to find.

a = 541 - c

Substitute "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25

2.25(541 - c) + 1.75c = 1041.25 Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25 Collect like terms

1217.25 - 0.5c = 1041.25 Simplified equation

Start isolating "c". Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25 Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25 Subtract 1217.25 on both sides

-0.5c = -176 Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5 Divide both sides by -0.5

c = 352 Number of children

Therefore, there were 352 children in the pool.

5 0

3 years ago