Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79 a pound, bananas are $0.36 each, and potatoes are $2.99 for a 3 lb. bag. If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys, which expression represents the amount of change she receives after her purchases?

30.00 – a – b
1.79a + 0.36b + 2.99
30.00 – (1.79a + 0.36b + 2.99)
30.00 + (1.79a + 0.36b + 2.99)

$1

because 2 months is 25. so 8 months divided by 2 is 4 so 4 times 25. is 1 dollar

Answer:

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The system of equations for each point are mentioned below.

Given is to find two systems of linear equations that have the given point as a solution.

For the point (- 2, 1), we can write the system of equations as -

1 = - 2m₁ + c₁

1 = - 2m₂ + c₂

For the point (3, - 2), we can write the system of equations as -

- 2 = 3m₁ + c₁

- 2 = 3m₂ + c₂

For the point (0.5, 1), we can write the system of equations as -

1 = (1/2)m₁ + c₁

1 = (1/2)m₂ + c₂

For the point (0, 4), we can write the system of equations as -

4 = c₁

4 = c₂

Therefore, the system of equations for each point are mentioned above.

To solve more questions on functions, expressions and polynomials, visit the link below -

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{Translation in english -

Find two systems of linear equations

that have the given point as a solution

Remember: for a point to belong to the

line, plug the coordinates into the equation

a) (-2.1)

b) 3,-2

c) 0.5; -1)

d) (0.4​)

}

Answer:

1. 17.59

2. 81.68

3. 8.99225

4. 12.00028

Step-by-step explanation:

for the first two you have to multiply the radii by 2 to find the diameter, then multiply your diameter by pi (3.14) to find the circumference

for the second two you have to work backwards so you have to divide the circumference by pi (3.14) which will give you the diameter, then you have to divide the diameter by 2 to get the radius.

Answer:

14.3

Step-by-step explanation:

Math

Answer:

14.3i think.

Step-by-step explanation:

Answer:

the precent discount is 20%

(27 / 135) x 100 = 20%

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

x ≥ 6 or x ≤ -2

Step-by-step explanation:

- I x - 2 I + 4 ≤ 0

- I x - 2 I ≤ -4

I x - 2 I ≥ 4

x - 2 ≥ 4  or  x - 2 ≤ -4

x ≥ 6  or x ≤ -2

Answer:

yes

Step-by-step explanation:

Answer:

b) x = 31

Step-by-step explanation:

It's an isosceles triangle, meaning the base angles are congruent as well.  

Answer:

40 in i think if i am wrong sorry

Step-by-step explanation:

5in + 5in = 10 10 * 4 = 40

246.49

All you have to do to find the Circumference is use this formula

pi (3.14) R (radius) squared.

-Ɽ3₮Ɽ0 Ⱬ3Ɽ0

Answer:

The function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Step-by-step explanation:

From the graph, it is clear that:

The vertex = (2, 3)

The y-intercept = (0, -1)

Let us check the equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Determining the y-intercept:

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in teh equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]

[tex]y=-2^2+3[/tex]

[tex]y=-4+3[/tex]

[tex]y=-1[/tex]

Thus,

The point representing the y-intercept is:  (0, -1)

Determining the vertex:

The vertex of an up-down facing parabola of the form ax² + bx + c is:

[tex]x_v=-\frac{b}{2a}[/tex]

As the equation is

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:

[tex]y=-x^2+4x-1[/tex]

The Parabola params are:

[tex]a=-1,\:b=4,\:c=-1[/tex]

Thus,

[tex]x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]

[tex]x_v=2[/tex]

Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]

[tex]y_v=-x^2+4x-1[/tex]

[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]

[tex]y_v=-4+8-1[/tex]

[tex]y_v=3[/tex]

Therefore, the vertex of the equation is:  (2, 3)

Hence, the function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Answer: x=73 y=73 z=107

Step-by-step explanation:

The angel of x is 73° because opposite angles are always the same.

The angle of y is also 73° because it is on a parallel line so angles on a parallel line would be the same.

Then the angle of z is 107° because the other side of z would be 73° so you need to deduct this from 180° (because a straight line always adds up to 180°).

62hshhsjshsjsjsjsjjsjsjs

Answer:

5x-4+-20+ -3=-23

Step-by-step explanation:

5x-3= -15 + -4 = 11

5x-5=-25+-3=22

5x-4=-20+-3=-23

5x-3= -15+ -5= -20

Answer:

The distance between -12 and -8 is 4.

Step-by-step explanation:

hope this helps

Answer:

the factor is x=1/2 or x=1

Step-by-step explanation:

hoped I helped:)

Answer:

0.57926

Step-by-step explanation:

Given that :

Mean, m = 6

Standard deviation, s = 1

P(x < 6.2)

Obtain the Zscore :

Zscore = (x - m) / s

Zscore = (6.2 - 6) / 1

Zscore = 0.2

P(Z < 0.2) = 0.57926 (Z probability calculator)

Probability of having head breadth less than 6.2 is 0.57926

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

Answer:

n < 8

Step-by-step explanation:

Let n represent the unknown number.  Then:

2n + 5 > 3n - 3

Collecting like terms:

8 > n or n < 8

Answer:

y = (-3/7)x + 2

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

all you need to do is plug the values into the equation! :)

since your slope is (-3/7), plug that in for m.

y = mx + b ⇒ y = (-3/7)x + b

and since your y-intercept is 2, plug that in for b.

y = (-3/7)x + b ⇒ y = (-3/7)x + 2

therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.

don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.

i hope this helps! have a lovely day <3

Answer:

I think the total number of combinations of 3 from 6 = 6C3 = 20

All possible combinations of 3 which have a product divisible by 3 must contain either a 3 or a 6.

So the number not divisible must be 3 combinations from the number 1, 2, 4, and 5.= which is 4

So the required probability is 20-4 ? 20 = 16/20 = 0.8 Answer

Hope this help you! :)

Answer:

Mean: 29.6

MAD: 10

Step-by-step explanation:

Answer:

Mean = 29.6

MAD = 10

Step-by-step explanation:

For the mean, just add all of the points together and divide it by 10 since there are 10 games.

For the MAD, use the mean and subtract is from each of the games. As an example, just do 23-29.6 and ignore if it is a negative sign. Do it for all and then add up the leftovers. Then divide it by the 10 games.

(6.6+1.4+1.6+8.4+10.6+8.4+15.4+4.6+26.6+16.4)/10

Check out a khan academy video about it if you're having trouble

Answer:

Step-by-step explanation:

no

展开时的公式:

+ + > +

- - > +

+ - > -

- + > -

Answer:

Integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be [tex]x,x+2[/tex] such that [tex]x<x+2[/tex]

Six times the lesser of the two consecutive even integers is 4 times the greater even integer.

So,

[tex]6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4[/tex]

Other integer [tex]=x+2=4+2=6[/tex]

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

I hope this helps!

Answer:

X

Step-by-step explanation:

because its the varible term

Answer:

D

Step-by-step explanation: