Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.

Answer:

[tex]-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y[/tex]

Step-by-step explanation:

Given the expression

[tex]-\left(5.3x-7y\right)\times \left(-9.6\right)[/tex]

[tex]=-\left(-9.6\right)\left(5.3x-7y\right)[/tex]

Apply distributive law

[tex]a\left(b-c\right)=ab-ac[/tex]

[tex]a=-\left(-9.6\right),\:b=5.3x,\:c=7y[/tex]

so the expression becomes

[tex]=-\left(-9.6\right)\times \:5.3x-\left(-\left(-9.6\right)\right)\times \:7y[/tex]

[tex]=-\left(-9.6\right)\times \:5.3x+7\left(-9.6\right)y[/tex]    ∵ [tex]-\left(-a\right)=a[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a[/tex]

[tex]=9.6\times \:5.3x-7\times \:9.6y[/tex]

[tex]=50.88x-7\times \:9.6y[/tex]

[tex]=50.88x-67.2y[/tex]

Therefore,

[tex]-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y[/tex]

Answer:

y=-2x+4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The magnitude and direction angle of c is 12.8 and 128.7° respectively.

"A vector contains two types of information: a magnitude and a direction. The magnitude is the length of the vector while the direction tells us which way the vector points.

Vector direction can be given in various forms, but is most commonly denoted in degrees. Acceleration and velocity are examples of vectors."

Given: a = (5, –9) and b = (–3, 1) and c = b – a.

Therefore, c = (5+3, -9-1) = (8, -10)

Now, magnitude of c is [tex]\sqrt{8^{2}+(-10)^{2}}[/tex] = 12.8

The direction of c is Ф = tan⁻¹(-10/8) = -51.3°

Therefore, the direction of c is 180° - 51.3° = 128.7°  (tanФ = tan(π+Ф))

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Answer: $1004.4

Step-by-step explanation:

Simple math

The total commission of the employee will be $1004.4 for the given sale.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

4.5% of commission on sales.

Total selling = 36 x 620 = $22320

4.5% of $22320 = (4.5/100)22320 = $1004.4

Hence "The total commission of the employee will be $1004.4 for the given sale".

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Answer:

a+11b/3

Step-by-step explanation:

Answer:

3 and 2/3b + 1a

Step-by-step explanation:

Simplifying b:

4b - 1/3b = 11/3b = 3 and 2/3b

Simplifying a:

-5a + 6a = 1a

Answer:

(-2.-8) is the answer to the question

The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.

The equation is satisfied by the point (-2,– 8). Then we have

     7x - 4y = 18

7(-2) - 4(-8) = 18

    -14 + 32 = 18

              18 = 18

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Answer:

For Question 3, all you have to do is subtract 5 from both sides of the equation, then divide by -3, which will leave you with 5 as the answer.

-3x + 5 = -10

-3x = -15x

x = 5

Answer:

C. 4

Step-by-step explanation:

The formula of slopes is: y2 - y1/x2 - x1

m = y2 - y1/x2 - x1

m = 15 - 7/5 - 3

m = 8/2

m = 4/1

m = 4

The slope of the line through the points (3,7) and (5,15) is  4 .

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Δy =  change in y coordinate  = y2 - y1

Δx = change in x coordinate = x2 - x1

m = Δy/Δx

where,

m is the slope  

According to the question

Points (3,7) and (5,15)

therefore,

(x1,y1) =  (3,7)

(x2,y2) =  (5,15)

Now ,

The slope of the line  

Using slope formula

m = Δy/Δx

Δy = y2 - y1  

Δy = 15 - 7

Δy = 8

Δx =  = x2 - x1

Δx = 5 - 3  

Δx = 2

Therefore,

m = [tex]\frac{8}{2}[/tex]

m = 4

Hence, the slope of the line through the points (3,7) and (5,15) is  4 .

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Answer:

Let x be the price of the groceries:

x × 0.25 = 1.60

           x = 1.60/0.25

           x = $6.40

$6.40 - $1.60 = $4.80

Step-by-step explanation:

Hhaah! My name is Caleb lolll :)

Mark as brainliest please! :)

Answer: linear function is 25x + 20

After 8 weeks he has saved 25(8)+20 which is 200, so he saved $200 after 8 weeks.

Step-by-step explanation:

Ok so we say 25x because x is any amount of weeks he has saved for and because he had a head start of $20, we add 20 when calculating after any amount of weeks( because even if we know he saved 25x after x weeks we have to add the 20 dollars he also started with)

I hope this helps:)

Answer:

a. 20 + 25x

where x is the no. of weeks

b. The amount saved after 8 weeks = 20 + 25 (8)

= 20 + 200

= 220

Therefore, $220 will be saved after 8 weeks.

Answer:

-3 1/4

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

There is no square root for 2

Answer:

The square root of 2

Step-by-step explanation:

This is because it is a single number. Its an integer AND IRRATIONAL NUMBERS ARE SIGLE NUMBERS OR INTEGERS AND THESE NUMBERS CANNOT BE WRITTEN AS FRACTIONS AND CANNOT BE WRITTEN AS RATIOS.

HOPE THIS HELPED

Answer:

equation: y = 2x - 7

Step-by-step explanation:

Let equation be y = mx + c

m = (1-(-1))/(4-3) = 2

sub (4, 1):

1 = 2(4) + c

c = -7

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

1110

Step-by-step explanation:

888*(1+25%)

=1110

PLS GIVE BRAINLEST

Answer:10

Step-by-step explanation:

9514 1404 393

Answer:

  16 seconds

Step-by-step explanation:

You want to find t such that h(t) = 0

  h(t) = -16t^2 +4096 . . . equation for height

  0 = -16t^2 +4096 . . . . .equation for height = 0

  16t^2 = 4096 . . . . add 16t^2

  t^2 = 256 . . . . . . . divide by 16

  t = 16 . . . . . . . . . . . take the positive square root

It will take 16 seconds for the camera to hit the ground.

Answer: the answer is 16

Step-by-step explanation:

Just did it on acellus

Answer:

x=2

Step-by-step explanation:

1/2x+3=5/2x-1

1/2-5/2x=-1-3

-4/2x=-4

-2x=-4

x=-4/-2

x=2

Answer:

11.31

Step-by-step explanation:

Answer:

B 11.31

Step-by-step explanation:

Answer:

d I think

Step-by-step explanation:

blablablablabal

Answer:

-13/6 or -2 and 1/6 or -2.16

Step-by-step explanation:

The solution of expression in mixed fraction form is,

⇒ 2 1/6

We have to simplify the expression,

⇒ 5 1/6 - 7 1/3

Firstly we can change it into improper fraction,

⇒ 5 1/6 - 7 1/3

⇒ 31/6 - 22/3

Make denominator same by taking LCM of 6 and 3 which is 6,

⇒ 31/6 - 44/6

⇒ (31 - 44) / 6

⇒ 13/6

⇒ 2 1/6

Therefore, The solution of expression in mixed fraction form is,

⇒ 2 1/6

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Answer:

6

Step-by-step explanation:

6 is the most common lol

Answer:

I'll say 5

Step-by-step explanation:

Hoped this helped!

Answer:

$288 dollars

Step-by-step explanation:

12 x 24 = 288

Answer:

its 85 feet :)

Answer:

The recursive rule for the sequence is a[tex]_{1}[/tex] = 75; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + 25

Step-by-step explanation:

the recursive rule of an arithmetic function is a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex]= a[tex]_{n-1}[/tex] + d, where

∵ The given is 75, 100, 125, 150, .......

∵ 100 - 75 = 25

∵ 125 - 100 = 25

∵ 150 - 125 = 25

∴ The common difference is 25

∴ d = 25

∵ The first term is 75

∴ a[tex]_{1}[/tex] = 75

→ Substutute the values of a1 and d in the formula above

∴ The recursive rule for the sequence is a[tex]_{1}[/tex] = 75; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + 25

Answer:

from least to greatest or what? ill do lest to greatest tho

-7/8, -13/16, -1 4/5, 7/4

Step-by-step explanation:

all of these can be converted into a fraction with a denominator of 16 so you can compare easier except for -1 4/5 but that is the highest negative number so that would be the last one you put down because it has a whole number so it is greater than one therefor being greater than the rest of the negative fractions that are less than one, but for the rest, it is just simple least to greatest *(if it is greatest to least just reverse it)*

Answer:

From least to greatest: -1 4/5, -7/8, -13/16, 7/4

Greatest to least: 7/4, -13/16, -7/8, -1 4/5

Step-by-step explanation: Start with the greatest number. This would be 7/4 since it is the only positive number in the set of numbers. Then, find a common denominator for the rest of the numbers/fractions. To save time, a common denominator of -7/8, -1 4/5 and -13/16 is 80. Then, make all the equations equivalent. To do this, I’ll just use -13/16. So, just multiply 5 by 16 and -13 by 5 to get the right fraction. The answer would be -65/80 and you would do this process for the rest of the numbers. Once your done with this explanation, just remember that a lower negative number has a higher value on the number line making it greater in a set of numbers.

Answer:

B

Step-by-step explanation:

Answer:

good handwritting the first is 87

Step-by-step explanation:

Answer:

15 Soft Tissues

Step-by-step explanation:

24 soft tissues ÷ £7.57 = £3.17 per tissue

20 soft tissues ÷ £6.60 = £3.03 per tissue

15 soft tissues ÷ £5.24 = £2.86 per tissue

Hence 15 soft tissues has the best value.