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Mrac [35]
3 years ago
14

What is the remainder of, 96 divided by 7?

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

remainder of 5

Step-by-step explanation:

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What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

y=\dfrac{3}{4}x+b

Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
3 years ago
Will give brainliest please help ASAP
Aleksandr [31]

Answer:

x-coordinate is 3; ordered pair in Quadrant 1;

Step-by-step explanation:


8 0
3 years ago
What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6
Komok [63]

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

8 0
2 years ago
Read 2 more answers
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7
cricket20 [7]

Answer:

The price of a pint of veggies is $1.75

Step-by-step explanation:

* Lets change the story problem to equations and solve them to find

 the answer

- Chen is bringing fruit and veggies to serve at an afternoon meeting

- He spends a total of $28.70 on 5 pints of cut veggies and 7 pints

 of cut fruit

- The food cost is modeled by the equation 5 v + 7 f = 28.70, where

  v represents the cost of one pint of cut veggies and f represents

  the cost of one pint of cut fruit

∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)

- The cost of each pint of fruit is $2.85

∵ f represents the cost of one pint of cut fruit

∴ f = 2.85

- Substitute the value of f in equation (1) to find the value of v

∵ 5 v + 7 f = 28.70 ⇒ (1)

∵ f = 2.85

∴ 5 v + 7 (2.85) = 28.70

∴ 5 v + 19.95 = 28.70

- Subtract 19.95 from each side

∴ 5 v = 8.75

- Divide both sides by 5

∴ v = 1.75

∵  v represents the cost of one pint of cut veggies

∴ The price of a pint of veggies is $1.75

7 0
3 years ago
Please help me with this problem!
san4es73 [151]

Answer:

The choice A ;

\frac{1}{ {7}^{8} }

Step-by-step explanation:

\frac{ {7}^{ - 6} }{ {7}^{2} }  =  \frac{ {7}^{ - 6 - 2} }{1}  =  {7}^{ - 8}  =  \frac{1}{  {7}^{8} }  \\  \\  \\ or. \:  \frac{ {7}^{ - 6} }{ {7}^{2} }  =  \frac{1}{ {7}^{ 2 + 6} }  =  \frac{1}{ {7}^{8} }

8 0
2 years ago
Read 2 more answers
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