Sara has 86 packets of crisps. She must share these equally between her
14 friends. How many crisp packets will each friend get? How many will
Sarah have remaining?

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

Answer:

23.5

Step-by-step explanation:

(23.76-25.58)/(48-34) = -0.13

-0.13 * 2 = -0.26

23.76 - 0.26 = 23.5

Answer:

not sure about this question

Step-by-step explanation:

not sure about this question

Answer:

5

Step-by-step explanation:

Kindly, your question is not compete and clear

Answer:

Step-by-step explanation:

First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4

4 ÷ 4 = number of miles

4 ÷ 4 = 1 mile

28 ÷ 4 = number of minutes for one mile

28 ÷ 4 = 7 minutes for one mile

Next, you need to divide 5.5 by 5.5 and 32 by 5.5

5.5 ÷ 5.5 = number of miles

5.5 ÷ 5.5 = 1 mile

32 ÷ 5.5 = number of minutes for one mile

32 ÷ 5.5 = 5.81818181818

So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.

All in all, Corrine ran faster today than yesterday.

Hope this helps!

Answer:

1 pound of gummy bears = $3.20

1 pound of jelly beans = $7.50

Step-by-step explanation:

1.8 pounds of gummy bears + 0.6 pounds of jelly beans

= $10.26

1.2 pounds of gummy bears + 1.5 pounds of jelly beans

= $15.09

2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26

--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65

(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears

3.3 pounds of gummy bears

= $25.65 - $15.09

= $10.56

1 pound of gummy bears

= $10.56 ÷ 3.3

= $3.20

1 pound of jelly beans

= [$10.26 - ($3.20 × 1.8)] ÷ 0.6

= $4.50 ÷ 0.6

= $7.50

Answer:

x=11

y=118

Step-by-step explanation:

pls can i have brainliest if im right

Answer:

x = 34°

y = 118°

Step-by-step explanation:

As ∠y and 62° are on the same line but lines P and Q are parallel to each other, they both add up to 180:

y + 62 = 180

y = 180 - 62

y = 118°

As this angle and 4x - 18 are corresponding angles, they both equal the same so:

4x - 18 = 118

4x - 18 + 18 = 118 + 18

4x = 136

[tex]\frac{4x}{4} = \frac{136}{4}[/tex]

x = 34°

Hope this helps!

Answer:

The answer is E.

[tex]\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}[/tex]

#2

Put x=4

[tex]\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}[/tex]

[tex]\\ \sf\longmapsto 2x^2+4x+2=k[/tex]

[tex]\\ \sf\longmapsto 2(x^2+2x+1)=k[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=k[/tex]

[tex]\\ \sf\longmapsto 16+8+1=k[/tex]

[tex]\\ \sf\longmapsto k=25[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}[/tex]

#3

y=4

[tex]\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4[/tex]

[tex]\\ \sf\longmapsto x(x+2)=21/4[/tex]

[tex]\\ \sf\longmapsto x=21/4\:or 13/4[/tex]

Answer:

Inequality

[tex]-22<m<12[/tex]

Interval Notation

[tex](-22,12)[/tex]

Reasoning:

First of all, subtract nine on both sides.

[tex]| m + 5|<17[/tex]

Now make two equations

[tex]|m+5|=-17[/tex]

[tex]m=-22[/tex]

[tex]|m+5|=17[/tex]

[tex]m=12[/tex]

Now you can make an inequality for m:

[tex]-22<m<12[/tex]

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

Answer: exact form: 7/5

Decimal form: 1.4

Mixed form: 1 2/5

Step-by-step explanation:

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Answer:

9x(3x-2) (3x+2)

Step-by-step explanation:

[tex]81x^{3}-36x[/tex]

9(9x³ - 4x)

9x(9x² - 4)

Since both terms are perfect squares factor using the difference of squares formula,  a² - b² = (a + b) (a - b)

Therefore, 9x(3x-2) (3x+2)

Answer:

81z^3-36z = 9z(3z-2)(3z+2)

Step-by-step explanation:

(81z^3-36z)=9z(9z^2-4)

9z(9z^2-4)=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

Answer:

The 71st term is 428.

Step-by-step explanation:

Use Arithmetic Explicit formula:

f(n) = f(1) + (n - 1) d

Solve:

f(71) = 8 + (71 - 1) 6

f(71) = 8 + (70) 6

f(71) = 8 + 420

f(71) = 428

Step-by-step explanation:

but then you did already the most work.

because just think : when is the expression

(x+3)(x+2) equal to 0 ?

only, if at least one factor of the multiplication is equal to 0.

you know, for example, 5×0 = 0, or 0×3 = 0.

that means either (x+3) or (x+2) must be 0.

x + 3 = 0

x = -3

and

x + 2 = 0

x = -2

and there you have it.

a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.

and this one here has the 2 solutions

x = -3 and

x = -2

again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !

Answer:

see below

Step-by-step explanation:

1) 4, -3, -10, -17,...

d = -3 - 4 = -7 or -10 - (-3) = -7

Arithmetic , d = -7

2) 4, 8, 16, 32,...

d = 8 - 4 = 4, 16 - 8 = 8,

d is not same

so Not Arithmetic

3) 7, 12, 17, 22,....

d = 12 - 7 = 5 or 17 - 12 = 5 or 22 - 17 = 5

so Arithmetic, d = 5

Answer:

dream is better

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t

Answer:

D. 16          i took the quiz trust me ok? ily stay safe queen

Step-by-step explanation:

Answer:

y=2x+7

Step-by-step explanation:

you would substitute so x=-2 and y=3

All lines parralel always have the same x so

y=2x-c (c means crossing point of y)

then substitute

3=(2x-2)-c

3=-4-c

c= +7

so just put in the equation and the answer is:

y=2x+7

Hope this helps!!

Answer:

13/15

Step-by-step explanation:

"Or" in probability means to add. Therefore, we would do 2/3 + 1/5:

First, we need a common denominator: 2/3 + 1/5 → 10/15 + 3/15 (I multiplied the first fraction by 5/5 and the second fraction by 3/3).

Now, we can add the numerators: 10/15 + 3/15 = 13/15.

Hope this helps!

Answer:

p = 2a + 2b

Step-by-step explanation:

The perimeter p is the sum of the 4 sides , then

p = a + a + b + b = 2a + 2b

Answer:

Up up up up up up up up up up

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Answer:

x = -5

y = -6

Step-by-step explanation:

5x - 6y = 11

-7x + 5y = 5

We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:

5(5x - 6y) = 11(5)     → 25x - 30 y = 55

6(-7x + 5y) = 5(6)    → -42x + 30y = 30

Now we can add the two equations to get:

-17x = 85

x = -85/17 which is x = -5

Now we can plug in -5 into the first equation to solve for 'y':

5(-5) - 6y = 11

-25 - 6y = 11

-6y = 36

y = -6

CHECK:

-7(-5) + 5(-6) should equal 5

35 + (-30) = 5

5 = 5

Answer:

-5/2 & -10/3

Step-by-step explanation:

For -2 1/2

as a decimal : -3.3

mixed number:-3 1/3

exact form: -5/2

for -3 1/3

as a decimal :-3.3

mixed number:-3 1/3

exact form:-10/3

Answer:

6/7/8.9

Step-by-step explanation: