You own a comic book store. When you order comic books for your store to sell, you get 18 comic books per bundle. How many comic books would you have to sell if you ordered 7 bundles?

Answer:

(3, 4)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Just plug in the coordinates as variables to find your answer:

(2 + 4)/2 = 3

(4 + 4)/2 = 4

Answer:

Step-by-step explanation:

The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.

m = Δy/Δx = y₂-y₁/x₂-x₁

Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁  = -4 and y₂ = 6

m = 6-(-1)/1-(-1)

m = 7/2

To get  c, we will substoute the slope and any of the point given into the equation of a line as shown;

Using tyhe point (1, 6) and m = 7/2

6 = 7/2(1)+c

6 = 7/2 + c

c = 6-7/2

c = 5/2

The equation of the line will be y = 7/2 x + 5/2

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to  6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are  4/ 6 possible outcomes.

So the probability is 4/6 or 66%.

Answer:

1/3

Step-by-step explanation:

y=MX+b

y=-2/9x+1/3

b=y-intercept

Answer:

y = 4/5x

Step-by-step explanation:

We have a slope of 4/5 and a point of (0,0)

Using the slope intercept form of a line

y = mx+b

y = 4/5 x +b

Substituting the point into the equation

0 = -1/2(0) +b

0 = 0+b

0 = b

The equation of the line is

y = 4/5x+0

Hey there! :)

Answer:

2nd choice.

Step-by-step explanation:

Given:

630 = 42f.

Divide both sides by 42 to solve for f:

630/42 = 42f/42

f = $15.

This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:

The second choice is correct. The number line has a single point at f = 15.

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

[tex]\frac{17}{13}[/tex]

Step-by-step explanation:

Given

tan x = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

5 and 12 are the legs of a 5- 12- 13 right triangle with hypotenuse 13, thus

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{13}[/tex]

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]

Thus

sin x + cos x = [tex]\frac{5}{13}[/tex] + [tex]\frac{12}{13}[/tex] = [tex]\frac{17}{13}[/tex]

Answer:

Option (4)

Step-by-step explanation:

Given table in the picture is,

x              y              1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive numbers.

Therefore, this table represents a linear function.

Option (4) will be the answer.

The type of function represented in the table is linear.

Given the table in the picture is,

x              y             1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive number.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Therefore, this table represents a linear function.

Option (4) will be the answer.

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Answer:

The base salary is $1,400

Step-by-step explanation:

Here, we are interested in calculating the base salary.

Now let’s picture his earnings as this, a base salary of let’s say $x and a percentage of y% of total sales as commission.

So let’s move!

For the month of march, his earnings is calculated as follows;

x + (y/100 * 15,800) = 2427

so we have;

x + 158y = 2427 •••••••(i)

For the month of April, we have

x + (y/100 * 21,100) = 2771.5

x + 211y = 2771.5 ••••••(ii)

So we have two equations to solve simultaneously.

We can easily get y by subtracting equation i from ii

That would be ;

(211y-158y) = 2771.5-2427

53y = 344.5

y = 344.5/53

y = 6.5%

So we can now get the base salary by substituting the value of y in any of the equations. Let’s use the first

x + 158(6.5) = 2427

x + 1027 = 2427

x = 2427-1027

x = $1,400

Answer:

41.67hrs

Step-by-step explanation:

if the snail moves 0.12km in 1hr

the snail will move 5km in Xhrs

0.12 × X = 5 × 1

0.12X= 5

X= 5/0.12 = 41.67hrs

Answer:

41.76 hours

Step-by-step explanation:

I feel bad so i did the math. Good Luck! hope you get it right!

Answer:

$959.69 per oz

Step-by-step explanation:

A gold alloy is produced from pure gold and alloy.

10 oz of pure gold costs $1,288 per ounce

55 oz of alloy costs $900 per ounce

The first step is to add the cost of both the pure gold and alloy together

= (10 oz × $1288)+(55 oz × $900)

= $12,880+$49,500

= $62,380

Therefore the cost per ounce can be calculated as follows

= $62,380/10 oz + 55 oz

= $62,380/65 oz

= $959.69 per oz.

Hence the cost per ounce of the gold alloy is $959.69 per ounce

Answer:

290 m³

Step-by-step explanation:

Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.

Volume of rectangular prism = width (w) × height (h) × length (l)

==>The prism on top has:

l = 3m

w = 8-3 = 5m

h = 6m

Volume (V1) = 3*5*6 = 90m³

==>The prism beneath has:

l = 8m

w = 5m

h = 5m

Volume (V2) = 8*5*5 = 200m³

Volume of the composite figure = V1 + V2 = 90+200 = 290 m³

Answer:

Step-by-step explanation:

subtract 3 from each

8-3≤3-5z-3<12-3

or 5≤-5z<9

divide by 5

5/5 ≤ -5z/5<9/5

or 1≤-z<1.8

multiply by -1

-1 ≥z>-1.8

or -1.8≤z<-1

Answer:

  -1 ≥ z > -1.8

Step-by-step explanation:

Maybe you want to find the solution set.

__

Subtract 3 from the inequality:

  5 ≤ -5z < 9

Divide by -5:

  -1 ≥ z > -1.8

_____

Personally, I like to write these with the inequality symbols pointing to the left. That way, the elements of the expression are in number-line order.

  -1.8 < z ≤ -1

Answer:

(B) It has the same slope and a different y-intercept

Step-by-step explanation:

The table is presented below:

[tex]\left|\begin{array}{c|c}x&y\\----&---\\-\frac{2}{3} &-\frac{3}{4}\\\\-\frac{1}{6}&-\frac{9}{16}\\\\\frac{1}{3}&-\frac{3}{8}\\\\\frac{5}{6}&-\frac{3}{16}\end{array}\right|[/tex]

Gradient

[tex]m=\dfrac{-\frac{3}{8}-(-\frac{3}{4})}{\frac{1}{3}-(-\frac{2}{3})}\\=\dfrac{-\frac{3}{8}+\frac{3}{4}}{\frac{1}{3}+\frac{2}{3}}\\=\frac{3}{8}\div \frac{3}{3}\\m=\frac{3}{8}[/tex]

Next, we determine its y-intercept

Using the pair [tex](-\frac{2}{3},-\frac{3}{4})[/tex] in y=mx+b

[tex]-\frac{3}{4}=(\frac{3}{8})(-\frac{2}{3})+b\\-\frac{3}{4}+\frac{1}{4}=b\\b=-\frac{1}{2}[/tex]

Comparing with the linear function has an x-intercept of 12 and a slope of [tex]\frac{3}{8}[/tex], we find out that It has the same slope and a different y-intercept.

Option B is the correct option.

Answer:

B

It has the same slope and a different y-intercept

Step-by-step explanation:

please rate and ❤️❤️❤️

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

Answer:

salt & vinegar : ready salted : cheese and onion

2                               3                      2

Step-by-step explanation:

salt & vinegar : ready salted : cheese and onion

6                               9                      6

Divide each by 3

salt & vinegar : ready salted : cheese and onion

6 /3                           9/3                      6/3

2                                    3                         2

Answer:

2:3:2

Step-by-step explanation:

Salt and Vinegar:  6

Ready Salted:  9

Cheese and Onion: 6

Put numbers in for the corresponding type:

Salt and Vinegar : Ready Salted : Cheese and Onion

6:9:6

All numbers share a common factor of 3.

Divide all the numbers by 3 to find simplest form.

2:3:2

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

the answer is 2. see attached for step-by-step instructions. hope that helps!

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

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Answer:

Hey there!

Total marbles= 5+2+3=10

Green marbles= 3

3/10=30%

Hope this helps :)

Answer:

47.5

Step-by-step explanation:

just took the test

The measure of angle EFD is 47.5°

An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.

Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,

So,

we know that the arc formed by the central angle is equal to is measure.

∴ arc ED = ∠ECD

∠ECD = 95°

Now,

According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.

therefore,

∠ECD/2 = ∠EFD

∠EFD = 95/2

∠EFD = 47.5°

Hence the measure of angle EFD is 47.5°

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Step-by-step explanation:

2.(a) uniform speed = distance/ time

= ( 9×16) / 9

= 16 m/s

(b) 19-10 = 9s

(c) 16×9 = 144m

(d) rate of change of speed

= (v-u)/ t

= ( 7-16)/ 6

= -3/2 m/s²

3.(a) uniform speed = distance/ time

= ( 12×20 ) / 12

= 20 m/s

(b) 22-10 = 12s

(c) (12×20) + 1/2(20+60)(18)

= 240+720

= 960m

(d) acceleration

= (v-u)/ t

= ( 60-20 ) / 18

= 20/9 m/² or 2.22 m/s²

Answer: n=6

Step-by-step explanation:

To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.

[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]

[tex]3=\frac{1}2}n[/tex]                  [multiply both sides by 2]

[tex]n=6[/tex]

Answer:

A. I and II, only

Step-by-step explanation:

y = x

Switch variables.

x = y

y = 1/x

Switch variables.

x = 1/y

1/x = y

y = x²

Switch variables.

x = y²

±√x = y

y = x³

Switch variables.

x = y³

∛x = y

Answer:

-65536

Step-by-step explanation:

-1*4^8

Answer:

-65536

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

it it can be calculated by using simple quadratic formula

Answer:

A. A = (3w - 5) * w

B. 2 feet squared

Explanation:

A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:

A = (3w - 5) * w

——————————

B. Plug in 2 for w using the given rule.

A = (3[2] - 5) * (2)

Distribute

(6 - 5) * 2

Subtract 5 from 6

1 * 2 = 2

The answer is 2 feet squared since this is area.

Answer:

  no

Step-by-step explanation:

The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.