Pencils cost 25p each. Mr smith spends £15 on pencils. Work out the number of pencils he gets.

Answer:

  (d)  remains the same as production increases

Step-by-step explanation:

All of the numbers in the Marginal Revenue column are the same. That means we can conclude marginal revenue ...

  remains the same as production increases.

Answer:

 (d)  remains the same as production increases

Step-by-step explanation:

Answer:

2.74

Step-by-step explanation:

The height of the apple when it hits the ground is zero

Equate to zero and solve for t

- 16t² + 120 = 0 ( subtract 120 from both sides )

- 16t² = - 120 ( divide both sides by - 16 )

t² = 7.5 ( take the square root of both sides )

t = [tex]\sqrt{7.5}[/tex] ≈ 2.74

Answer 8%, 1/8, 18%, 8/18, 0.8

Step-by-step explanation:

0.8 = 80%

1/8 = 12.5%

8/18 = 44.4%

8% < 12.5% < 18% < 44.4% < 80%

Answer:

4 Small, 6 Large

Step-by-step explanation:

We can start by finding values that would help add our two prices together.

We know that each large umbrella is $25, so if we keep adding until we can add up the umbrellas to 10, then we'll get our answer.

1 Large: $25

2 Larges: $50

3 Larges: $75

4 Larges: $100

5 Larges: $125

6 Larges: $150

Now don't forget, we need 10 umbrellas in total, and we know that we need 4 more umbrellas to get to 10, and we need 40 more dollars to get to 190.

40/10 = 4

6 Larges, 1 Small = $160

6 Larges, 2 Small = $170

6 Larges, 3 Small = $180

6 Larges, 4 Small = $190

Answer:

x= 15/8

Step-by-step explanation:

we need to solve the equation to find the value of x by adding like terms and then finding the value of x.

[tex](\frac{1}{2})x+(\frac{3}{2})(x+1)-(\frac{1}{4})=5\\(\frac{1}{2})x + (\frac{3}{2})x + (\frac{3}{2}) - (\frac{1}{4}) = 5\\Adding\,\,like\,\,terms\,\\(\frac{(1+3)x}{2}) + (\frac{6-1}{4})=5\\(\frac{4x}{2}) + (\frac{5}{4})=5\\2x= 5- \frac{5}{4}\\2x = \frac{20-5}{4}\\2x= \frac{15}{4}\\x= \frac{15}{4*2}\\x= \frac{15}{8}[/tex]

The value of X is ratio of fifteen to eight. That is, x = 15/8

Algebraic equation comprises of unknown variables with equality sign.

To evaluate 1/2x+3/2(x+1)-1/4 = 5, Find the LCM in the left hand side.

[tex]\frac{x}{2}[/tex] + [tex]\frac{3(x+1)}{2}[/tex] - [tex]\frac{1}{4}[/tex] = 5

At the Left hand side, the L.C.M is 4

[tex]\frac{2x+6(x+1)-1 }{4} = 5[/tex]

Cross multiply

2x + 6x + 6 - 1 = 20

8x + 5 = 20

Collect the like terms

8x = 20 - 5

8x = 15

Make x the subject of the formula

x = 15/8

Therefore, x = 15/8 in the given algebraic equation.

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Answer:

A

Step-by-step explanation:

You need to distribute the 8 to everything in the equation. You need to keep the sign in the middle. So in the end you would get 8x+8y.

Final answer:

Option a), 8x + 8y, accurately represents the total number of erasers Shawn bought since it's obtained by distributing the number of boxes, 8, to both x and y inside the parentheses.

Explanation:

The expression 8(x + y) represents the total number of erasers Shawn bought, where x is the number of pink erasers in each box and y is the number of blue erasers in each box. Since Shawn bought 8 boxes, and each box contains x pink erasers and y blue erasers, we need to multiply the sum of pink and blue erasers in one box by the number of boxes to get the total. Hence, the correct expression that also represents the total number of erasers Shawn bought is option a), 8x + 8y which is obtained by distributing the 8 to both x and y inside the parentheses.

Answer:

30 in, 0.5 m, 1.25 ft, 17 cm

30in, 0.5m, 1.25, 17cm

Answer:

conduction

Step-by-step explanation:

the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

the answer to this question would be c- 15.6

Answer:

Missing number is 3.

Step-by-step explanation:

20+(?)x14)-12=50

8+14?=50

14?=50-8

14?=42

?=3

Answer:

The missing number is 3

Step-by-step explanation:

Let the missing number be y

20 + (y × 14) - 12 = 50

Opening the brackets;

20 + 14y - 12 = 50

14y = 50 + 12 - 20

14y = 42

y = [tex]\frac{42}{14}[/tex] = 3

Answer:

120 degrees aka answer D

Step-by-step explanation:

Answer:

D. 120°.

Step-by-step explanation:

Since the angle is obtuse (greater than 90), it cannot be 30°, since 30° is an acute angle.

The angle cannot be 90° since the angle is obtuse, and red curved line is not a square.

The line would be straight if the angle was 180°, so the most reasonable answer would be D. 120°.

Answer:

Kevin-$42, Henry-$32,Jenny -$28,  Liz -$22, Sean -$20, Paul -$10, Kelly -$3

Answer:

kevin, henry,  jenny, liz, sean, paul, kelly

Step-by-step explanation:

i did the pretest and got it right!

Answer:

B. 6.5 ≤ x

Step-by-step explanation:

Nathan's pay for the week, including x extra hours, will be ...

250.25 +9.50x

We want that to be at least 312, so the inequality is ...

250.25 +9.50x ≥ 312

9.50x ≥ 61.75 . . . . . . . . subtract 250.25

x ≥ 6.5 . . . . . . . . . . . . . . divide by 9.5

The graph showing a solid dot at x=6.5 and an arrow extending to the right will be the correct graph of this solution.

Answer:

1 minute and 40 seconds or 1 2/3 minute

Step-by-step explanation:

If it took Scott 2 miles for 5 minutes, than it took him 2.5 minutes to do 1 mile. For 3 times as fast, we need to divide by 3. 2.5/3= 5/2*1/3=5/6. It is 2 miles, so 5/6*2=10/6=5/3=1 2/3 minute. 2/3 minute=40 seconds. So, the answer is 1 minute and 40 seconds or 1 2/3 minute.

Answer:

1 minute and 40 seconds or 1 2/3 minute(s)

Step-by-step explanation:

ANSWER

The swimming pool can hold 1,000,000 cubic feet of water.

EXPLANATION

The capacity of water the pool holds is the volume of water in the swimming pool.

The swimming pool is rectangular, therefore its volume can be calculated using the formula,

[tex]V = l \times w \times h[/tex]

where l=1000ft is the length, w=100ft is the width and h=10ft is the height of the pool.

We substitute all these values into the formula to get:

[tex]V = 1000 \times 100 \times 10 = 1000000 {ft}^{3} [/tex]

The swimming pool can hold 1,000,000 cubic feet of water.

The amount of water the pool can hold is  1,000,000 ft³.

In order to determine the amount of water the pool can hold, we have to determine the volume of the rectangular swimming pool. Since the swimming pool has the shape of a cuboid, the formula for the volume of a cuboid would be used.

Volume = length x width x height

1000 x 100 x 10 = 1,000,000 ft³

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Line AC and Line BD are perpendicular to each other.

In this scenario, we have Line AB parallel to Line CD, and both Line AC and Line BD are perpendicular to Line AB and Line CD. Since two perpendicular lines intersect at a 90-degree angle, we can say that Line AC and Line BD are also perpendicular to each other. This means that Line AC forms a 90-degree angle with Line BD.

Answer:

The largest angle is 6x,and 6x=90

So, the measure of the largest angle is 90

Step-by-step explanation:

First, you create an equation by adding the three angles together and equal to 180,because a triangle has 180 degrees.

The result will be 15.If x=15 ,you need to plug it in.

the largest angle is 6x,So, 6.15=90

90 degrees

The problem states the measures of three angles of a triangle as 4x-1, 2x+1, and 6x. According to the basic theorem that the sum of the angles in a triangle is 180 degrees, if we add these angles together, and equate them to 180, we get the equation 4x - 1 + 2x + 1 + 6x = 180. Adding like terms simplifies this to 12x = 180, and dividing each side by 12 gives us x = 15. Therefore, the largest angle is 6x, which would be 6 * 15 = 90 degrees.

Let's assume the unknown number is x and as another one is 5 times the number then second number is 5x

》x × 5x = 245

》5x square =245

》x square =245÷5

》x square =49

》x=7

So 5x = 5×7=35

Answer:

3.3

Step-by-step explanation:

3 3/10 = 3 + 3/10 = 3 + 0.3 = 3.3

Answer:

3.52 × 10⁸

Step-by-step explanation:

Scientific notation is written in: Number that is in the ones place × 10^power.

Here, the number is 3.52, since 3 has the largest placement.

The power on the 10 should be the number of 0's on 352,000,000/3.52. That is 100,000,000. That number has 8 0's, so the power is to the 8th.

Putting that together, this number in scientific notation in 3.52 × 10⁸.

Answer:

150 CASH

Step-by-step explanation:

if you do 25 down and 12 dollar for 11 month you pay 7 more dollars

Final answer:

The cost of financing the smartphone with a down payment and monthly payments would be $157.00, compared to a one-time cash payment of $150.00.

Explanation:

The question posed involves comparing the cost of purchasing a smartphone either with a one-time cash payment or financing it with a down payment followed by monthly payments. To calculate the total cost of the financing option, you add the down payment to the product of the monthly payment amount and the number of months for repayment. In this case, we use the following calculation: $25.00 down payment + ($12.00 per month × 11 months) = $25.00 + $132.00 = $157.00. The total cost when financing the smartphone would be $157.00, which is $7.00 more than the upfront cash payment of $150.00.

Answer:

11 degrees.

Step-by-step explanation:

"Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?"

We know that a linear pair MUST add up to 180 degrees, therefore (9x+6)+(6x+9)= 180

Now for some algebra-

(9x+6)+(6x+9)= 180

6 and nine can both be divided by 3, so we will do that for simplicity:

((9x+6)+(6x+9)= 180)/3=

(3x+2)+(2x+3)=60

We will now separate the parenthesis, as they serve no purpose anymore.

(3x+2)+(2x+3)=60

3x+2+2x+3=60

Combine terms

5x+5=60

Take away the 5 to isolate the variables

5x+5=60

-5

5x=55

Divide by 5

5x=55

/5

x=11

The value of x is 11 degrees.

Answer:

a 2 and b -20

Step-by-step explanation:

Answer:

a = 2 and b = -20

Step-by-step explanation:

4(ax^2 -5x+3)=8x^2 +bx+12 should be multiplied out.  Next, we equate the coefficients of the several powers of x:

4ax² - 20x + 12 = 8x² + bx + 12

Then 4a = 8, so a = 2

and   -20 = b

A. Any horizontal transformations or reflections you make to y = x^4 must be contained within the parentheses.

Answer:

the answer would be 13

Step-by-step explanation:

The dot plot showed that 13 substances had their mass recorded during the experiment

A graph is used to provide a pictorial representation or diagram so as to represents data in an orderly way. Examples of graphs are histogram, box plot, pie chart, dot plot.

A Dot Plot is used to provide a graphical display of data using dots.

From the dot plot:

Number of substances = 4 + 1 + 2 + 2 + 4 = 13

The dot plot showed that 13 substances had their mass recorded during the experiment

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Answer: $10.40

Explanation:

First, find the cost of 1 box of pasta. 13/5 = 2.6, so $2.60 a box.

Next, find how many boxes there are. 48/12 = 4, so 4 boxes of pasta.

Finally, multiply 4*2.6 to get the final cost.

Answer:

9%

Step-by-step explanation:

89.38/82 = 1.09

.09% increase

or 9%

The answer is 9% I think

During the weekend sale, a total of 360 T-shirts were sold from the initial stock of 800 T-shirts in packs of 4. This resulted in 440 T-shirts leftover in stock after the sale.

In the context of the store scenario, we have an initial stock of 800 T-shirts, which are sold in packs of 4 each. On Saturday, 20 packs are sold, resulting in a reduction of 20 packs times 4 shirts per pack, which equals 80 shirts. On Sunday, 70 more packs are sold, which corresponds to 70 packs times 4 shirts per pack, totaling 280 shirts sold on Sunday. Adding up the shirts sold on both days, we get 80 + 280, which equals 360 shirts sold in total during the weekend. To find the remaining stock, we subtract the total shirts sold from the initial stock: 800 shirts - 360 shirts = 440 shirts remaining after the sale.

Answer:

37 units

Step-by-step explanation:

The horizontal distance between these two points is 35 and the vertical is 12.

Treat these distances as the lengths of the legs of a right triangle whose hypotenuse we want to determine:

d^2 = 35^2 + 12^2 = 1369, so d  = the distance between these two points = d = sqrt(1369) = 37 units

The difference between the points (15,-17) and (-20,-5) is calculated by subtracting the coordinates, resulting in a difference of (35, -12).

To find the difference between the two points (15,-17) and (-20,-5), we need to subtract the coordinates of the second point from the coordinates of the first point.

For the x-coordinates: 15 - (-20) = 15 + 20 = 35

For the y-coordinates: -17 - (-5) = -17 + 5 = -12

Therefore, the difference between the two points is (35, -12).

Answer:

C. 58°

Step-by-step explanation:

m∠ACB=(180-138)°

m∠B + m∠A +∠mACB =180

80+ m∠A + (180 -138) =180

80 + m∠A - 138 = 0

m∠A = 58

Answer:

C

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ACD is an exterior angle of the triangle and

∠A and ∠B are the 2 opposite interior angles, hence

∠A + ∠B = 138, that is

∠A + 80 = 138 ( subtract 80 from both sides )

∠A = 58° → C