When solving graphically ,which system of equations will have exactly one point of intersection

Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,

brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

$_nC_r = \dfrac{n!}{r! \cdot (n - r)!}$

Which gives;

$_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6$

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

The lost weight = 120 kg

Learn more here:

brainly.com/question/12974932

6 0

3 years ago

Read 2 more answers

Find the volume of this figure to the nearest whole number. Use 3.14 for pi.

sukhopar [10]

Answer:

≈ 1800 mm³

Step-by-step explanation:

Volume of the figure above will be given by the formula

Cross section area × length

In this case;

Cross section area will be;

Area of the square + area of the two semi circles

12× 12 + 2(3.14 × 6 ×6/2)

= 144 + 3.14 ×36

= 257.04 mm²

Volume = Cross section area × Length

= 257.04 × 7

= 1799.28 mm³

 ≈ 1800 mm³

3 0

3 years ago

12. What is the equation of the following parabola?

Vladimir79 [104]

Answer:

c

Step-by-step explanation:

6 0

3 years ago

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have

Sunny_sXe [5.5K]

Answer:

The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Step-by-step explanation:

Given : Equation 3x − 7 = 4 + 6 + 4x

We have to find the number of solutions of the given equation.

Consider the given equation 3x − 7 = 4 + 6 + 4x

Simplify, we have,

3x − 7 = 10 + 4x

Now subtract 3x both side, we hvae,

-7 = 10 + 4x - 3x

Simplify, we have,

- 7 = 10 + x

Subtract 10 both side, we have,

-7 - 10 = x

x = - 17

Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.

8 0

4 years ago

Read 2 more answers

A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part

victus00 [196]

Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm

8 0

3 years ago