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3 years ago

Point Y (2, 1) is the midpoint of line segment XZ. Point X is located at (1, 4). Find

Mathematics

1 answer:

kolezko [41]3 years ago

3 0

Answer: (3, -2) i believe

Step-by-step explanation:

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Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans

Valentin [98]

Answer:

1. $2r+1.6b=10$

2. $r=5-0.8b$

3. $b=6.25-1.25r$

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

$2r$

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

$1.6b$

Knowing that she spends $10, you can write the following equation:

$2r+1.6b=10$

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

$2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b$

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

$2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r$

7 0

3 years ago

What is an equation in point slope form of the line that passes through the point (6,-2) and had a slope of 3

ch4aika [34]

Answer:

y - 6 = 3(x + 2)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m(slope) = 3, (6, -2)

(x1, y1) = (6, -2)

Input the given values of the slope and the point into the equation for point-slope form:

y - (-2) = 3(x - 6)

y + 2 = 3(x - 6)

The equation written in point-slope form is: y + 2 = 3(x - 6)

7 0

3 years ago

Twice the sum of the number and 10 is 60 what is the number?

n200080 [17]

Let the number be n

$\\ \sf\longmapsto 2(n+10)=60$

$\\ \sf\longmapsto n+10=60/2$

$\\ \sf\longmapsto n+10=30$

$\\ \sf\longmapsto n=30-10$

$\\ \sf\longmapsto n=20$

5 0

3 years ago

Suppose John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is

Fed [463]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad \right.\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1$

4 0

3 years ago

BOTH ANSWERS PLEASEEEEEE

elixir [45]

Answer:

a) 3/4

b) 75%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers