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Flura [38]
3 years ago
12

A 4-pound bag of carrots costs $2.48. What is the unit price? *

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

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2x 2 + 10-12<br> X +6<br> Simplify
jenyasd209 [6]

Answer:

-72 X + 14

Step-by-step explanation:

6 0
2 years ago
I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
Using appropriate properties, find the value of 249² - 248²
Lady_Fox [76]

Answer:

\boxed{\bold{\huge{\boxed{497}}}}

Step-by-step explanation:

=> \sf 249^2 - 248^2

<u>Using Formula</u> \sf a^2 - b^2 = (a+b)(a-b)

<u><em>Where </em></u>

a = 249

b = 248

=> \sf (249+248)(249-248)

=> \sf (497)(1)

=> 497

3 0
3 years ago
HELP A line passes through two points with coordinates (6,-8) and (-3,7).
FromTheMoon [43]

Answer:

<em>3y+5x=6</em>

Step-by-step explanation:

<u>Equation of the Line</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the points (6,-8) and (-3,7), thus:

\displaystyle y+8=\frac{7+8}{-3-6}(x-6)

\displaystyle y+8=\frac{15}{-9}(x-6)

Simplifying:

\displaystyle y+8=-\frac{5}{3}(x-6)

Multiplying by 3:

3(y+8)=-5(x-6)

3y+24=-5x+30

Moving all the variables to the left side:

3y + 5x = 30 - 24

3y + 5x = 6

4 0
2 years ago
Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25
user100 [1]
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
8 0
3 years ago
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