Step-by-step explanation: When numbering the pages of a book, which has 1,150 pages, we need: 9 one-digit numbers (from 1 – 9);90 two-digit numbers (from 10 – 99);900 three-digit numbers (from 100 – 999);151 four-digit numbers (from 1,000 – 1,150).
The total amount of digits you need to number a book of 1150 pages will be 3493 digits.
What is an arithmetic operation?It is described as the process through which we add, subtract, multiply, and divide numerical values. It has the fundamental operators +, -, and.
There are pages for the digits totaling,
Single digits : (1 - 9) = 9 pages
Double digits : (10 - 99) = 90 pages
Triple digits : (100 - 999) = 900 pages
Four digits : (1000 - 1150) = 151 pages
By summing all digit counts such as, one may determine the total number of digits.
= (9 + 180 + 2700 + 604)
= 3493 digits.
Thus, the total amount of digits you need to number a book of 1150 pages will be 3493 digits.
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1. MATH CONNECTION: If a person were walking at the average speed of 2.5 mph from District 12 to District 13 and it takes a week to get there, how fast is the hovercraft traveling from District 12 to 13, which makes it there in 45 minutes?
Answer:
560 mph
Step-by-step explanation:
2.5(24 * 7) = 420 miles
420 miles = 45h
h = 420miles / ( 45 * 60)
420/0.75 = 560 mph
HELP
Rewrite the word problem as an expression that requires the order of operations:Quinn has 2 bags. Each bag has 4 apples and 5 oranges. He wants to split up all the fruits into 3 baskets.
Answer:
2×(4 +5)÷3 ..am I correct?
Three increased by twice a number is at least -7. Write the inequality and then try to solve it!
Answer:
Inequality: 3+2n≥-7
Solve for n: n≥-5
Step-by-step explanation:
3+2n≥-7
2n≥-10
n≥-5
Ceci can drive 225 miles in 3 hours. How many hours does it take her to drive 1125 miles?
Answer:
15 miles
Step-by-step explanation:
First we divide 1125 by 225 to get the ratio of the two distances. We can see that 1125 goes into 225 exactly 5 times. Then we do 5 times 3 to get 15.
find the product of 0.56x0.3=
Step-by-step explanation:
product : 0.56×0.3 = 0.168
hope this helps you.
I need it ASAP.
The sum of three numbers is 95. The second number is 7 more than the first. The third number is 4 times the second. What are the numbers?
Answer:
I think the answer is 2,660 i am not really sure but that's my answer sorry if i got it wrong
2/7 divided by 6
Plz I need help and fast
Write the slope intercept form of the equation of the line through the given point with the given slope.
(3,4) Slope=0
the water slide is 6 feet tall and the end of the slide is 9 feet from the base of the ladder about what slope does the slide have?
The slope of an object is the ratio of the rise to the run. It measures the degree of steepness of an object or a projection. Hence. The slope of the slide is 1.5
Height of water slide = 9 feetsHorizontal length = 6 feetsSlope = Rise / Run
From the question ;
Height of water slide = Rise Horizontal length = RunHence,
Slope = 9 / 6 = 3/2 = 1.5
Therefore, the slope of the water slope ls 1.5.
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solve the following equation
3z + 14 = 5z - 18
solve the following equation
3z + 14 = 5z - 18
Solution:-3z + 14 = 5z - 183z = 5z - 18 - 143z - 5z = - 18 - 14-2z = -32z = -32/-2z = 16Answer:-[tex] \\ \tt \: Thus, \: { \boxed{ \tt{z = 16}}}[/tex]
Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)
a. 30 in to 1 ft
b. 2 in to 2 ft
c. 20 days to 2 weeks
d. 10 ft to 20 yards
e. 5 hours to 10 min
f. 10 seconds to 5 min
PLEASE HELP THIS DUE TOMORROW
Answer:
a. 5:2
Step-by-step explanation:
1 ft = 12 in
30:12
Divide by 6
30÷6=5
12÷6=2
So, the answer is 5:2
Yesterday the children at Deion’s preschool chose to pursue various play with stuffed animals 15, read books 2, paint 1, play math game 1, Based on past data, if 24 preschoolers are at school today, how many should you expect to read books?
Based on past data, we can expect that 2 preschoolers will be reading books today out of the total of 24 preschoolers present. we can apply this ratio to the total number of preschoolers present today.
To determine the expected number of preschoolers who should be reading books today, we can use the ratio of the number of preschoolers who chose to read books yesterday to the total number of preschoolers present yesterday.
Yesterday, there were 24 preschoolers present, and 2 of them chose to read books. Therefore, the ratio of preschoolers reading books to the total number of preschoolers yesterday is:
2 / 24
To find the expected number of preschoolers reading books today, we can multiply this ratio by the total number of preschoolers present today (which is 24):
(2 / 24) * 24
Simplifying this expression, we find:
2
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1. What is the cost of 3 Bur Oak trees? Show your work.
Answer:
$96
Step-by-step explanation:
WHICH NUMBER LINE MODEL REPRESENTS THE EXPRESSION: 2.5 + 4.5?
A)
B)
C)
what is 3 to the power of -4 as a fraction?
For g(x) = −4x, find g(x) when x = −6 and when x = 2.
answer;
when x=-6
g=4
when x=2
g = 4
Step-by-step explanation
every where you see x put -6 there
g(-6)=4(-6)
-6g=-24
-6g/-6=-24/-6
g=4
when x= 2
anywhere you see x put 2 there
g(2)=4(2)
2g=8
2g/2=8/2
g=4
May I please receive help?
Hi there!
We know that:
m∠WXZ = 112°
Since m∠1 is 48° greater than m∠2, we can write an expression:
m∠2 = x°
m∠1 = (x + 48)°
Since both angles sum up to m∠WXZ, we can write this as:
112° = x° + (x + 48)°
Solve for x:
112 = 2x + 48
64 = 2x
x = 32°
what happens with the reflection about the y-axis
Answer:
the x-value becomes negated
Step-by-step explanation:
(x,y) -> (-x,y)
Mathematics of inequality
An
chọn A
Step-by-step explanation:
3x-5>= 4x-3
<=>x <= -2( -2;-3;-5)
Answer:
3x - 5 > 4x - 3
-1 is the answer (A)
Step-by-step explanation:
Solve for x.
7)
B) 7
Di 12
C) -2
Answer:
x = - 7
Step-by-step explanation:
Sum of interior angles is a triangle is 180,
70 + 55 + 62 + x = 180
187 + x = 180
x = 180 - 187
x = - 7
Answer:
C) -7
Step-by-step explanation:
1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.
2. (Solving equation above)
Step 1: Combine like terms.
[tex](x)+(62+70+55)=180[/tex] [tex]x+(132+55)=180[/tex] [tex]x + 187=180[/tex]Step 2: Subtract 187 from both sides.
[tex]x+187-187=180-187[/tex] [tex]x = -7[/tex]Step 3: Check if solution is correct.
[tex]-7+62+70+55=180[/tex] [tex]55+70+55=180[/tex] [tex]125+55=180[/tex] [tex]180=180[/tex]Therefore, the answer is C) -7.
which qoutients are equivalent to -2/3?
answer these two pls
1. Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.
2.Tim’s savings account pays a simple annual interest rate of 3.5%. Suppose he deposits $5,500 in the account and makes no additional deposits or withdrawals for 5 years. What will the total value of the account be after 5 years?
Answer:
1.) $12,800: 800÷0.0625=12,800
2.)$6,311.37: 5500×(0.035(5))
can you guys do 2 and 4 for me solve for x
Answer:
2) DE = 25
4) LN = 27
Solve for x:
[tex]x=17[/tex]
Step-by-step explanation:
2) [tex]41-16=25[/tex]
4) [tex]x+10 = 3x-24; x=17[/tex]; [tex](17)+1=18; 18+9 = LN; LN=27[/tex]
Tip:
DE + EF = DF
LM + MN = LN
Which of the following is equivalent to 2/5 x 3/8?
A. 3/8 / 2/5
B. 2/5 / 3/8
C. 2/5 / 8/3
D. 5/2 / 8/3
Sian invests £7000 for 3 years at 4% per annum compound interest. Find the compound interest earned in the 3 years.
Answer:
840.
Step-by-step explanation:
4%of £7000=£280
£280 x 3(years)=£840
Help how to do it because this is hard
Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function relating in inDara‘s height to the number of hours she mountain climbing
The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
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15. Matthew and some friends are going to a concert. They hire a car service for $60 to
drive them to a restaurant for dinner and then to the concert. They divide the $75 cost
of the dinner equally. However, since Matthew's dad provided concert tickets for the
group, the friends agree that Matthew doesn't have to help pay for the car service.
The friends divide this cost equally among themselves. If each friend spends a total of
$30, how many friends went to the concert with Matthew?
A4
B5
C6
D7
Answer:
7
Step-by-step explanation:
i got it correct on my test
someone help me please
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: [tex]a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }[/tex]
Hence, ∛27 = [tex]27^{(\frac{1}{3})}[/tex]
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
[tex]\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}[/tex]
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.
The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1.
Part A: Write a sentence to describe the number of cups of yellow paint that Greg mixed with each cup of blue paint. (4 points)
Part B: How many cups of blue paint should Greg add to each cup of yellow paint to make the shade of green? Explain your reasoning. (4 points)
Part C: If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint? (2 points)
(GIVING 15 points)
Answer:
Part A: A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.
-------------------------------------------------------------------------------------------------
Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:
2/1 = 1/x
x = (1*1) / 2
x = 1/2
For each cup of yellow paint, Greg should add 1/2 cup of blue paint.
-------------------------------------------------------------------------------------------------
Part C: 6 cups cost $54, then 1 cup cost:
54 / 6 = 9
The price per cup of yellow paint is $9.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is 9 dollars.
What is the ratio?The ratio compares similar quantities in simplest form.
Given that the ratio of the number of cups of yellow paint to the no. of cups of blue paint to make a green shade paint is 2:1.
This can also be written as
(yellow paint/blue paint) = (2/1).
∴ 1 cup of yellow paint and 2 cups of blue paint is required to make a green shade of paint.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is (54/6) = 9 dollars.
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