John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to meet the deadline. Which compatible numbers provide a better estimate for the number of question he should write each week, 2,000 ÷ 50 or 2,000 ÷ 40? Why?

Answers

Answer 1

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.


Related Questions

PLEASE I NEED HELP!! what are two ways that you can tell that two ratios form a proportion? i really need to pass this test to get my grades up, I'm not trying to cry my whole winter break.​

Answers

Answer:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

Answer:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fraction in it’s simplest form. Another way is to see if the numbers in the ratios are factors or multiples of each other. For example, 10:5 and 30:15. 10:15= 10/5 and 30:15= 30/15. Then you put it in simple form. 10/5 = 2 and

30/15 = 2. Therefore 10:5 and 30:15 are proportional.

Hope this helps :)

Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;

Answers

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

What is quadratic equation of graph?

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

To learn more about the quadratic function visit:

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please help ! I just wanna gts lol

Answers

Answer:

15y + 12

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] (10y + 8) = [tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8

Expand the brackets.

[tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8 = 15y + 12

I know the answer it is 5y+12

Which function best represents this graph?

Answers

Answer:

Y=3x-2

Step-by-step explanation

Answer:

the frist one have a good day

Step-by-step explanation:

I know it bless good bye

You typed a 36-word paragraph in 2/3 minute. What is his typing speed,in words per minute? SHOW WORK!!!

Answers

Answer:

52

Step-by-step explanation:

36/2=16

16=1/3

16x3=52

52 words= 1 minute

whats the inverse if 2 5/8

Answers

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

Given:

[tex]2\frac{5}{8}=\frac{8*2+5}{8}[/tex]

Mutliply :

[tex]2\frac{5}{8} =\frac{16+5}{8}[/tex]

Add:

[tex]2\frac{5}{8} =\frac{21}{8}[/tex]

Multiplicative inverse:

[tex]2\frac{5}{8} =\frac{8}{21}[/tex]

If the percent is 37.5% what's the fraction & decimal?​

Answers

It is .375 as a decimal and 375/1000 as a unsimplified fraction

Answer:

as a fraction it is 3/8 and as a decimal it is 0.375

Step-by-step explanation:

is 9.22222 a irrational number

Answers

Answer:

No

Step-by-step explanation:

9.222222 is not a irrational number.

Hope this helps plz hit the crown :D

Answer:

yes it is

Step-by-step explanation:

Help please !!!! I’ll give u brainliest

Answers

Answer:

they all have 3 points seeeee

A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.

Answers

Answer:

80%

Step-by-step explanation:

because 7200 / 300 equals 24 and 24 / 30 equals .8 so its 80% and if you want to check the answer you take 30 * .8 OR 80% and it gives you 24

The percent markup is 25%.

What is percent markup?

Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus it's cost to make or purchase for resale) by the cost of that unit.

Given that, A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each.

Cost of one shirt = 7200 / 300 = $24

And they sold at $30 each,

Percent markup = 30-24 / 24 × 100

= 25%

Hence, the percent markup is 25%.

Learn more about Markup percentage, click;

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A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.

Therefore:

Since there is a total of 40 acre farm, hence:

x + y = 40        (1)

The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:

15x + 50y ≤ 900   (2)

Her profit is given as:

Profit = 50x + 110y

From the geogebra plot, the point that maximizes the profit is at (60, 0)

Therefore the maximum profit = 50(60) + 110(0) = $3000

Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2​

Answers

Solution:-J (1,5)K (1,9)

[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]

[tex]\LARGE\leadsto\sf JK=4units [/tex]

What is the area of the room represented in the scale drawing?

Answers

Answer:

You have to do length times width

Step-by-step explanation:

Area= leingth time width ( 3D shapes = leinght times width times height)

pls help
b ⋅ (-3) = -12 b=?

Answers

Answer:

b=4

Step-by-step explanation:

Answer:

b=-3\13

Step-by-step explanation:

b

Use the functions
f(x) or g(x) to
answer the
following:
Function f(x) has the equation f(x) = 3x – 4.
Function g(x) has the table of values shown
below.
Which y-intercept
is smaller and how
do you know?
x|g(x)
0] 4
3 5
6 6
9 7
14

Answers

Answer:

3 5

Step-by-step explanation:

It just is trust

Help i will give brainliest to the first one to have a REAL answer

Answers

Answer:

y = -32

Step-by-step explanation:

-6 (y+15) = -3y + 6

-6y - 90 = -3y + 6

-3y - 90 = 6 + 90

= -3 = 96

y = -32

Answer:

Y=28

Step-by-step explanation:

Distribute-6(y+15) > -6y-90

-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6

-3y=-84

Then just divide -84 by -3

solving systems equations: substitution
y=6x+5
y=4x+5

Answers

6x + 5 = 4x + 5
2x + 5 = 5
2x = 0, x = 0
Y = 6(0) + 5, y = 5
Solution: x = 0, y = 5

Answer:

y=6x+5  →equation 1

y=4x+5 → equation 2

you can either substitute equation 1 in 2 or equation 2 in 1

substituting equation 1 in 2,

y = 4x + 5

6x + 5 = 4x + 5

6x - 4x = 5 - 5

2x = 0

x = 0/2

x = 0

substituting x = 0 in equation 1, (to get y)

y = 6x + 5

y = 6(0) + 5

y = 0 + 5

y = 5

hope it helps you!!

Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?

(need help kinda quick, pls and thank you!)

Answers

Answer: C(x)=-2.5x+13


Explanation: Since she is using gas, the function will be negative and decreasing. Also the initial amount was 13 gallons, this would be the y-intercept.

MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations

Answers

90-42=48
48/6 = 8
The 6 student each handed out 8 invitation

Ronnie wants to write an equation to represent portional relationship that has a constant personality equal to 7 25th St. Reds equation Y equals X +7/25 what area is Ronnie making

Answers

Answer:

hi i have a question please chat me ok

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!

Answers

Answer:

to be entirely honest i do not know

Step-by-step explanation:

In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the

90% confidence interval for the population proportion, p?

Answers

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

Dillon pays x dollars to get a haircut. He gives the stylist a
25% tip. The expression representing his total cost is
x + 0.25x

Which expression is equivalent and why?

A. 1.025x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.025.

B. 1.25x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.25.

C. 1.25x because adding $25 to the haircut is the same as
multiplying the cost by 1.25.

D. x(0.25) because the cost of the haircut can be factored out.

Answers

Answer:

B

Step-by-step explanation:

the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction

The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x

Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.

=x + 0.25x

=1.25x

Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

Learn more about the expression here:

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PLS HELP ME 5.7 + (3z + 0.3)

Answers

Answer:

3z + 6

Step-by-step explanation:

5.7 + (3z + 0.3) =

= 5.7 + 3z + 0.3

= 3z + 6

Mrs. Villa bought 2 packages of buttons. Each package had a different number of buttons. The table lists the number of buttons of each color in each package.​

Answers

Answer:

B

Step-by-step explanation:

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True

What is probability ?

Probability means chances of  an event to occur .

Probability = favourable outcome /the total number of possible outcomes.

Total button in package L= 50

Total button in package M= 30

(a)

Probability of selecting green or black button from package L= (8+7)/50

=15/50=3/10

Probability of selecting red  button from package M=9/30 = 3/10

Hence statement is true

(b)

Probability of selecting black button from package L= 7/50

Probability of selecting black button from package L=8/50

Hence statement is false

(c)

Probability of selecting red button from package L=12/50=6/25

Probability of selecting green button from package M=6/30=1/5

Hence statement is false

(d) Probability of selecting yellow button from package L=10/50=1/5

Probability of selecting yellow or green button from package M=9/30=3/10

Hence statement is false .

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .

To learn more about probability visit : brainly.com/question/24756209

Simplify the following problem.
| -48 – (-5) |

Answers

Answer:

the answer is -43 it is right

Answer:

-43

Step-by-step explanation:

Please answer this is homework i need help with

Answers

Look at the attachment

Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)

Answers

A (-5, -9)

B (3, -1)

C (10, 10)

Can someone help me with this question

Answers

Answer:

Step-by-step explanation:

All real numbers

Please help me on number (15) Will mark brainliest

Answers

Answer:

that will be 12

Step-by-step explanation:

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