bob has some 10 lb weights and 3 lb weights. together, all his weights add up to 50 lb. if x represents the number of 10 lb weights, which equation can be used to find the number of each type of weight bob has ?

The midpoint of a line divides the line into equal segments.

See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

The given parameters are:

[tex]\mathbf{A = (-5,-4)}[/tex]

[tex]\mathbf{B = (3,-2)}[/tex]

[tex]\mathbf{C = (-1,6)}[/tex]

The coordinates of M (midpoint of AB) are calculated as follows:

[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]

[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]

[tex]\mathbf{M = (-1, -3)}[/tex]

The coordinates of N (midpoint of BC) are calculated as follows:

[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]

[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]

[tex]\mathbf{N = (1, 2)}[/tex]

Distance MN is:

[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]

[tex]\mathbf{MN = \sqrt{29}}[/tex]

Distance AC is calculated as follows:

[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]

[tex]\mathbf{AC= \sqrt{116}}[/tex]

Split

[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]

Take positive square root of 4

[tex]\mathbf{AC= 2\sqrt{29}}[/tex]

To prove that:

[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

We have:

[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]

[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]

The above equation is true.

Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

Read more about midpoints and distance at:

https://brainly.com/question/11231122

Ans wer

i dont know hmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

cba

Step-by-step explanation:

yes correct answer x yimes h yomes z

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

BRAINLIEST PLEASE

Answer:

.

Step-by-step explanation:

sorry i can't help

Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

Learn more : https://brainly.com/question/18112348

Answer:

19.66

Step-by-step explanation:

9.83 / 0.5

19.66

Sorry if it is not correct but I think that this is the corrcet answer.

Answer:

B. 1 1/7

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

Third graph in the photo

Step-by-step explanation:

x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.

Answer:

28, trust me

Step-by-step explanation:

Answer:

The angle mPQO is 86°

Step-by-step explanation:

123°-37°

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation

Answer:

b.d-6 that's the correct answer

Answer:

it is a

Step-by-step explanation:

Answer:

x = 114°

Step-by-step explanation:

x + (x - 48) = 180

2x = 228

x = 114

114 - 48 = 66

Answer:

She'd have $45

Step-by-step explanation:

4% of 75 is 3 dollars.

So 3 dollars per year and after 10 years the account lost $30 to the simple interest.

3*10(AmountOfYears)=30

So 75-30=45

$45 would be left in the savings account.

which triangles?

i see no triangles

try again bro

Answer: m=1/2, b=-7

Step-by-step explanation:

(0,-7) is the y-intercept on the line...

Answer:

y = (-zvx)/w

........

Answer:

4y²

Step-by-step explanation:

(2y)² = 2²*y² = 2*2*y² = 4y²

Answer:

a

Step-by-step explanation:

Answer:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function. If more than one intersection point exists, then the intersections correspond to multiple values of y for a single value of x (one-to-many).

Step-by-step explanation:

Answer:

I graphed the answer above in the image

Answer: no

Step-by-step explanation: no

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

The answer is -9

I dont know the step-by-step used a calculator

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

Answer:

r + 15 = 61

Step-by-step explanation:

Answer:

15 months and 8 days  

Step-by-step explanation:

31,250 / 12 = 2604.16667  8,500/ 2604.16667 =  3.264 months of second year   12 + 3.264 = 15.264 months  days 30 * 0.264= 7.92  add the together = 15 months and 8 days  

Answer:

Step-by-step explanation: