Answer: The answer for 9 is 50 miles per hour and the one who drove farthest is is ben because at 5 hours he drove already 250 miles. And for number 9 according to the table she is driving 15 miles per hour because on the bottom it always adds up by 15 miles.
Step-by-step explanation: So first to figure out 9 I used y2-y1/x2-x1 to figure out the rate of change and got 50 miles per hour and the point I used were (5,100) and (5,250). Then According to Ben's graph it shows that he drove 250 miles at 5 hours while sally was at 100 miles for 5 hours. So Ben drove the farthest. Then finally for number 9 I concluded that sally is driving 15 miles per hour because distance always adds up by 15 miles.
Hope this Helps :D
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left
Answer: Stefan can feed Coco for 5 days.
Explanation: After making the granola bars for the camping trip, he has [tex]1\frac{1}{4}[/tex] cups of oats left over.
Coco, the parrot, needs [tex]\frac{1}{4}th[/tex] of a cup of oats for eating each day.
After figuring out the math, Stefan can feed Coco for 5 days.
To double check that 5 days is correct, take 5 times [tex]\frac{1}{4}[/tex] and you will get [tex]1\frac{1}{4}[/tex].
[tex]1\frac{1}{4}[/tex] is what Stefan had left after making the bars, meaning the answer is correct.
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Hope this helps!
Have a great day and God bless! :)
Which value of d would make the
expression 9 1/3 divide d/6 equivalent to a
whole number?
Answer: 5
Step-by-step explanation:
(9 × 3 + 1)× 6 over 3d (Cancel out 3 in both numerator and denominator)
2(1 + 3 × 9 ) over d (Multiply 3 and 9 to get 27)
2(1 + 27) over d (Add 1 and 27 to get 28)
2×28 over d (Multiply 2 and 28 to get 56)
An apple orchard has honey crisp trees and mnintosh trees. The orchard has 1603 honey crisp trees. It has 327 more McIntosh trees than honeycrisp trees. About how many apple trees does the orchard have?
The number of apple trees the orchard have is 3533.
How to find the the number of apple trees in the orchard?The apple orchard has honey crisp trees and McIntosh trees.
The orchard has 1603 honey crisp trees.
It has 327 more McIntosh trees than honey crisp trees.
Therefore,
number of honey crisp trees = 1603
number of McIntosh trees = 327 + 1603
number of McIntosh trees = 1930
Therefore, the number of apples trees the orchard have can be calculated as follows:
number of apples trees = number of McIntosh trees + number of honey crisp trees
number of honey crisp trees = 1603
number of McIntosh trees = 1930
number of apples trees = 1930 + 1603
number of apples trees = 3533
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a farmer buys 1000 pounds of hay which he thinks will last 31 days if his cow eats about 25 pounds of hay per day for how many days more than 31 will the farmers hay
feed the cow
The farmer can 9 days more than 31 days.
given,
farmer buy 1000 pounds of hay
if cow eats 25 pounds of hay per day .
here, 25 x 31 =775
which is less than 1000 ,so that the farmer can feed the cow more than 31 days
1000-775=225
225/25=9
therefore the farmer can 9 days more than 31 days.
There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these.
distributive property ;
According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.
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What is the decimal fraction of I) ¹½m is 60cm turn to decimal
Answer:
11.02
Step-by-step explanation:
Shae and John drive trucks for a produce company. One day Shae drove 102 miles in 112
1
1
2
hours. John drove 54 miles in 34
3
4
hour. Who drove at a faster rate?
when you add 102+112 you know that shae drove the fastest
Jane decides that he is spending too much money at his favorite coffee place. He finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home. It takes 2 tablespoons of ground coffee to make one cup of coffee. How much will each cup of coffee cost you? Note 2 tablespoons equals 1 ounce. Use the dimensional analysis method (use units in your calculations)
The amount that each cup of coffee cost you will be $0.5 per cup.
How to illustrate the information?It should be noted that the information illustrated that Jane decides that he is spending too much money at his favorite coffee place and she finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home.
It should be noted that since 2 tablespoons equals 1 ounce, the number of teaspoons will be:
= 24 × 2
= 48 teaspoons
Therefore, the amount that each cup of coffee cost you will be:
= Cost / Number of cups
= $12 / (48 / 2)
= $12 / 24.
= $0.5
Therefore, the amount that each cup of coffee cost you will be $0.5 per cup.
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Please help meee I don’t know the answer and I need it done
Answer:
1) 1/8
Step-by-step explanation:
2[tex]2^{-2}[/tex]= 1/2^2 = 1/4
2^-1 = 1/2^1 = 1/2
1/4x1/2=1/8
hope this helps
write a word problem that equals a negative number
Answer:
A submarine submerged at a depth of 40.21 feet dives 57.35 more feet down. What is the new depth of the submarine?
Step-by-step explanation:
Solving:
Rewrite the equation:
It first dived 40.21 feet so our equation is -40.21 + ? so far.
Next it dives another 57.35 feet so the final equation becomes -40.21 + (57.35)
To answer:
-40.21 + (57.35)= -97.56
Hence, the answer would be -97.56
10. During the hockey season, Elena
averaged 5.625 assists per game. What is
5.625 written in expanded form? How is
it written with number names?
Answer:
5 + 6*10^-1 +
Step-by-step explanation:
I got you started... If you still need extra help, let me know.
3. A question on a course evaluation survey for an introductory statistics course asked, "How
do you rate the class textbook on a scale from 1 to 10, where 1 = Not Helpful and 10 =
Very Helpful?" The distribution below summarizes the students' responses to this
question. (3 pts)
Frequency
8
"
H▬▬▬▬▬▬▬▬▬▬▬o
2 0
9
1
2
3 4
6 7 8 9 10
5
Rating
If you estimate the median and the mean, which statement is the appropriate statement for
the mean and the median?
a. Median=2 and mean = 5
b. Median=3 and mean = 3.5
c. Median = 3.5 and mean = 3
IMAGE ABOVE
The correct statements regarding the mean and the median of the distribution are given as follows:
b. Median = 3 and Mean = 3.5.
What are the mean and the median of a distribution?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The median of a data-set is given by the middle value of the data-set, which is the value for which 50% of the data-set is less than and 50% of the data-set is greater than.From the frequency table, we have that:
5 observations have a value of 1.7 observations have a value of 2.8 observations have a value of 3.6 observations have a value of 4.5 observations have a value of 5.3 observations have a value of 6.1 observations have a value of 7.1 observations have a value of 10.The number of values in the data-set is:
5 + 7 + 8 + 6 + 5 + 3 + 1 + 1 = 36.
Hence the mean is given by:
M = (5 x 1 + 7 x 2 + 8 x 3 + 6 x 4 + 5 x 5 + 3 x 6 + 1 x 7 + 1 x 10)/36 = 3.5.
The median will be the 36/2 = 18th value, which is of 3.
Hence the correct statement is:
b. Median = 3 and Mean = 3.5.
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NEED HELP PLEASE ASAP 9. Evaluate the limit for f (x) = x2 – 4x + 1.
lim
AX-10
f(x + 4x) - f(x)
Δε
The elementary playground is a 1:6 scale representation of the high school activity field.
If the activity field is 21,600 square feet, what is the area of the playground?
Based on the scale factor of 1:6, if the area of the activity field is 21,600 square feet, the area of the playground is equal to 3,600 square feet.
Given the following data:
Scale factor = 1:6
Area of the activity field = 21,600 square feet.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides, area, or diameter in two similar geometric figures such as equilateral triangles, river, planets in our solar system, etc.
Let E represent the area of the elementary playground.
Let H represent the area of the high school activity field.
Therefore, a mathematical expression which relates the area of the elementary playground to the area of the high school activity field is given by:
E : H 1:6 = x : 21,600
Evaluating, we have:
1/6 = x/21,600
Cross-multiplying, we have:
6x = 21,600
x = 21,600/6
x = 3,600 square feet.
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How would you classify √11?
Whole Number
Rational Number
Irrational Number
Integer
A zoo is thinking of adding a dome exhibit a showcase desert animals. The zoo sent out a survey to their current members to see their current members to see if they would be interested in adding this kind of the the zoo. Of 2,000 responses 7/10 indicated that yes they would like dome add it to the zoo how many members want a dome add it to the zoo
Based on the fact that out of 2,000 responses, 7/10 indicated that they would like the zoo to add a dome, the number of members who want a dome to be added to the zoo are 1,400 members.
How many members want the dome added?To find the number of members of the zoo who want the dome to be added to the zoo, the following formula would help:
= Number of members that were surveyed by the zoo x Fraction of members who indicated yes to the dome being added
Solving for the number of members who want the dome added gives;
= 2,000 x 7/10
= 14,000 / 10
= 1,400 members
In conclusion, 1,400 members indicated yes to the dome.
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a price was discounted by 20%.and the discounted price is 200€.how many euros are the discount?
Answer:
40€
Step-by-step explanation:
the amount discounted is200€
the 200€ is the amount
hence 100%=200€
what about. 20%
20×200€ ÷100%
= 40€
The discount is applied on 1000 euros.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100. The percent value of one quantity to the other can be calculated by multiplying their ratio by 100.
The discount percent and the discounted price is 20% and €200 respectively.
Suppose the original price be x.
Then, the following equation can be written as,
20% × x = 200
⇒ 20x/100 = 200
⇒ x = 1000
Hence, the original price is obtained as €1000.
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A blimp can be seen flying at an altitude of 7200 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the start-finish line is d feet. Express the horizontal distance h as a function of d.
The horizontal distance as a function of d can be given as h = √(d + 7200) (d - 7200).
It is given in the question that:
Height at which blimp is flying (AB)= 7200 feet
The slanted distance to the pagoda (BC) = d feet
The horizontal distance (AC) = h
Let the angle made between slanted distance and horizontal distance be θ.
So, cosθ = AC/BC
cosθ = h/d
and also, sinθ = AB/BC
sinθ = 7200/d
Now, we know from the first trigonometric identity that cos²θ = 1 - sin²θ.
=> (h/d)² = 1 - (7200/d)²
=> (h/d)² = (d² - 7200)/d²
=> h² = d² - 7200
=> h = √(d² - 7200)
=> h = √(d + 7200) (d - 7200)
Thus, the horizontal distance as a function of d can be given as h = √(d + 7200) (d - 7200).
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Beverly is buying hot dogs and hot dog buns for a picnic. She wants to buy 1 hot dog for each bun with none leftover. The hot dogs come packed 12 in a package. The buns come packed 8 in a package. what is the least amount of each Beverly needs to buy? How many packages of each item would Beverly have to buy?
The least amount of each hot dogs and hot dog buns Beverly needs to buy is 24
The least amount of each hot dogs and hot dog buns Beverly needs to buyHot dog = 12 in a packageHot dog buns = 8 in a packageFind the least common multiple (LCM) of 12 and 8
12 = 12, 24, 36, 48, 60, 72, 84, 96, 1208 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80The least common multiple (LCM) of 12 and 8 is 24
Number packages of each item would Beverly have to buy?
Hot dog = 12 in a package
= 24 /12
= 2 packages
Hot dog buns = 8 in a package
= 24/8
= 3 packages
Therefore, the number of packages of each hot dogs and hot dog buns would Beverly have to buy us 2 packages and 3 packages respectively.
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It is estimated that one honeybee can make about 1/12 teaspoon of honey in its lifetime. How many honeybees will it take to make 2 tablespoons of honey?
One tablespoon is equivalent to
3 teaspoons.
The number of honeybees which it will take to make the required 2 tablespoons of honey as required in the task content is; 72.
How many honeybees will it take to make 2 tablespoons of honey?It follows from the conversion factor given in the task content that;
3 teaspoons is equivalent to 1 tablespoon.
Hence, 1/12 teaspoons is equivalent to;
= (1/12 ×1) ÷ 3
= 1/36 tablespoons.
On this note, one honeybee can make 1/36 tablespoons of honey in its lifetime.
Hence, if 2 tablespoons of honey is needed, the number of honeybees required is; 2/(1/36)
= 2 ÷ 1/36
= 2 × 36
= 72 honeybees.
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How do you do
2х² + 3у²
Step-by-step explanation:
so 2 • 2 = 4x then 3•3=9y since they aren't like terms so u have to leave it like that hope this helps
Write an equation with a constant and a coefficient and variable where the variable will be equal to four after solving it
Answer:
hi I jgkjglhlih
Step-by-step explanation:
I've ok h l
2. a and b are both positive integers, therefore -a and- b are negative
integers. Using this, simplify the expression (-a)(- b) and explain.
Answer:
Here both a & b are positive integers that are obtained from the expression (-a)(-b).
Step-by-step explanation:
It is given that a and b are both positive integers, therefore -a and- b are negative integers.
Now, using this we need to simplify the expression (-a)(-b);
Firstly, let us understand what are integers and types of integers;
The collection of whole numbers and negative numbers is known as an integer in mathematics.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
The inverse additives of the equivalent positive numbers are the negative numbers.
Now, let us understand what are positive and negative integers;
In fact, positive integers are a subset of the wider class of numbers known as integers.
Integers with a negative value are those that are less than zero. They exclude decimals and fractions.
Furthermore, the expression given is (-a)(-b) which is the product of two negative integers.
=> (-a)(-b)
=> ab
Therefore, here both a & b are positive integers that are obtained from the expression (-a)(-b).
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can you help me to solve this
Answer:
RDASFD
Step-by-step explanation:
A line passes through the point (2,−4) and has a slope of 1/2. What is the y-coordinate of the point on the line when x = 8?
A. −1
B. 7
C. −2
D. 8
E. 5
The y-coordinate of the point on the line when x = 8 is -1
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
What is the y-coordinate of the point on the line when x = 8?The given parameters are
Slope, m = 1/2
Point, (x1, y1) = (2, -4)
The linear equation is calculated as
y = m(x - x1) + y1
So, we have
y = 1/2(x - 2) - 4
When x = 8, we have
y = 1/2(8 - 2) - 4
Evaluate
y = -1
Hence, the y-coordinate of the point on the line when x = 8 is -1
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Find the cost of 1 can of soda if 12 cans cost $5.75. Round to the nearest cent
$0.48 or 48₵
Divide $5.75 by 12 cans
[tex]5.75/12[/tex]
Equaling = 0.479...
⬆️
Round to the nearest cent
[tex]0.48[/tex] ✅
Hope this was helpful! (✿◠‿◠)
Without solving state the property or properties that justify why the two equations must have the same solution set.
5(v - 4) = 100 and (v - 4)5 =100
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
What is the Commutative Property of Multiplication?The Commutative Property of Multiplication essentially states that constants and variables can be multiplied in any order and the product will not change.
For example, the multiplication of 5 x 4 = 20 and 4 x 5 = 20 are equivalent. No matter what, you will get the same product.
How This AppliesBoth equations utilize the distributive property, which states that an expression a(b ± c) can be multiplied to create ab ± ac. As such, we can rearrange the a to either the front or end of the expression and retrieve the same results.
Your answer is the Commutative Property of Multiplication.
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Solve for x hrlpppppppppppppppppppppppppp
Answer:
x = 4
Step-by-step explanation:
The two angles labeled on the diagram are alternate exterior angles and by the Alternate Exterior Angles Theorem, they are congruent. So we can set up an equation like this to solve for x.
2x + 19 = x + 23
x = 4
21. A room has a rectangular floor plan as laid out below. Answer the following questions. What is the perimeter of the room in feet?
Answer:
[tex]50ft[/tex]
Step-by-step explanation:
you have to find the missing side by subtract
[tex]14.8 - 7 = 7.8[/tex]
and
[tex]10.2 - 4.5 = 5.7[/tex]
then you add all these to find the perimeter
[tex]p = 14.8 + 4.5 + 7.8 + 5.7 + 7 + 10.2 [/tex]
[tex]p = 50ft[/tex]
do not leave out your signs
Whats 36/12 as a improper fraction
What is 4.5E-11 written in standard form
Answer: 4 * 10^(-11) + 5 * 10^(-12)
Step-by-step explanation:
4.5E-11=
4.5 * 10^(-11)=
(4+.5) * 10^(-11)=
4 * 10^(-11) + 0.5 * 10^(-11) =
4 * 10^(-11) + 5/10 * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1) * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1+(-11)) =
4 * 10^(-11) + 5 * 10^(-1-11) = 4 * 10^(-11) + 5 * 10^(-12)