Mathematics Middle School

to figure out how many hours it will take to drive from his home to his's cousin's house,a student divides 289 by 60 and estimates that it will take about 4.5 hours.explain whether you think this a reasonable estimate

Answers

Answer 1
This would be considered a reasonable estimate because if you were to use estimation, you can round 289 to the nearest hundred (300), which is divisible by 60.  When dividing 300 / 60, you will get 5 hours, which is 0.5 greater than 4.5 therefore making it a reasonable estimate.  In addition, when actually dividing 289 / 60, you will get approximately 4.8 hours, which is close to the estimate, 4.5 hours.

Related Questions

Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.

Answers

you can know that it is wrong because by multiplying 6, which is the rounded version of 6.27, by 7 that you will get 42, which is the approximate answer. 438.9 is not even close to thatanswer
it is wrong because 6 x 7 = 42
julies answer is way too far off for it to be correct.
the correct answer is 43.89

hope this helps you

A particular amusement park ride will make 156 revolution in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?

Answers

106 per minute or 60 seconds

2.5 to the nearest tenth

Answers

3 would be ure answer sir 
2.5 is already to the nearest tenth. 3 is the the nearest whole number.
Here's an example:
2.478382
The 4 is in the tenth spot, so you look at the next unit over, which in this example is the 7.
To round, the key is 4 and below, don't change, 5 and above, round up.
2.478382 would round to 2.5.
Here's another example just so it's clear:
For 3.7913, the 9 would make the 7 round up and the answer would be 3.8.
One unit after the decimal is the tenth place. Two units is the hundredth, three is the thousandth, and so on.
I hope that makes sense. You're good to go on getting 2.5 to the nearest tenth— it's already there.

I need to draw a picture to show 26 divided by3

Answers

Well...26 doesn't really go into 3 evenly. 26 divided by 3 is 8.66666666667. So therefore , you have to round it. It'll be 8.7 You could Have three squares or whatever shape. than .7 of a shape. 
Here first draw a rectangle now put 26 inside and 3 beside it. Now divide it you answer ( if you are in forth grade is 8R2

rewrite the interval 11-20 using inequalities

Answers

Written like in the picture

The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.

A)
1.325 x 10 to the -6th power


B)
1.325 x 10 to the 6th power

C)
13.25 x 10 to the 5th power


D)
132.5 x 10 to the 4th power

Answers

The answer is B) 1.325 x 10^6
1.325 x 10^6. B is the correct option.

a gazelle can jump over a hundred five feet in a single jump how many yards is that

Answers

the answer is 4 yards
You would do 500 ÷ 3 because 3 ft = 1 yard. So, 500 ÷ 3 = 166.6666... Btw, if u have a repeating decimal, just put a line over the first 2 numbers after the decimal. Hoped this helped you!

Solve for n.

25n−3=5n+8
the n-3 and n+8 are powers

Answers

Final answer:

The equation 25n⁻³ = 5n⁺⁸ suggests an incorrect use of exponents, as no solution exists if we assume the bases should be the same. However, if the bases are 25 and 5, after simplifying, we find that the solution is n = 14.

Explanation:

To solve the equation 25n⁻³ = 5n⁺⁸, we need to use properties of exponents and logarithms. Here are the steps:

Assuming the bases are the same and only the exponents are different, equate the exponents: n - 3 = n + 8.This implies that no solution exists because once the bases are the same, the exponents on both sides must be equal for the equation to hold true, but here they are not.

Alternatively, if 25 and 5 are the bases, we can rewrite the equation as (52)n-3 = 5n+8, then applying properties of exponents gives us 52n-6 = 5n+8. Equating the exponents yields 2n - 6 = n + 8, which we can solve for n.

Subtract n from both sides: n - 6 = 8.Add 6 to both sides to isolate n: n = 14.

A fruit drink company tested a new flavor.In a test 22% of the people taking part liked the new flavor. If 33 people liked the new flavor, how many people took the test

Answers

33 people divided by .22
150 people took the test

the Marriott rivercenter in San Antonio Texas has a main roof height of 441 feet. with the additional height of antennas the structure is 546 feet tall. What is the height of the antennas

Answers

The height of the antennas is 105 feet.

The height of the antennas on the Marriott River center is 105 feet, which is calculated by subtracting the main roof height (441 feet) from the total structure height (546 feet).

To calculate the height of the antennas on the Marriott River center in San Antonio, Texas, we need to subtract the main roof height from the total structure height. The main roof height is reported as 441 feet, while the overall structure height, including antennas, is 546 feet.

Here's the step-by-step calculation:

Write down the total structure height: 546 feet.Write down the main roof height: 441 feet.Subtract the main roof height from the total structure height to get the antenna height: 546 feet - 441 feet = 105 feet.

Thus, the height of the antennas is 105 feet.

A sticker costs 15 cents and a packet of 8 similar stickers cost $1. Clement buys 37 stickers. What is the least amount of money that Clement spends on stickers

URGENT PLZ HELP

Answers

8 x 4 = 32 stickers (you still need 5) 4 packs x 1.00 = 4.00
plus
.15 x 5 = .75
total $4.75

Clement should buy 4 packets of 8 stickers and 5 individual stickers to minimize cost, spending a total of $4.75.

The student asked how much money Clement will spend on 37 stickers given the individual sticker price and the packet price. We can calculate the least amount of money Clement can spend by determining the number of packets and individual stickers he should buy.

The price of one sticker is $0.15, and a packet of 8 stickers costs $1.00. To get the best value, Clement should buy as many packets as possible. Since 37 is not divisible by 8, the closest multiple of 8 is 32 (which is 8 stickers in 4 packets), so he will buy 4 packets and then 5 additional individual stickers.

The cost of 4 packets is 4 packets times $1.00/packet = $4.00.

The cost of 5 individual stickers is 5 stickers times $0.15/sticker = $0.75.

The least amount Clement will spend on 37 stickers is the total cost of packets plus individual stickers, which is $4.00 + $0.75 = $4.75.

Lea walked 1/2 miles in 1/3 hours. How long will it take Lea to walk 21/4 miles?

Answers

1/3÷1/2=2/3
2/3×21/4=7/2
it will take her 3.5 hours
21/4 * 1/3  /  1/2
= 21/12  / 1/2
= 21/12 * 2
= 21/6
= 3 3/6
= 3 1/2

If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?

Answers

3/4=1/3 of all
times 3 both sides
9/4=3/3 of all
9/4=all

need 9/4 gallons or 2 and 1/4 gallons

The paint needed for the entire wall is 9/4 gallons.

Given:

The 3/4 gallons of paint are required to cover 1/3 portion of the wall.

To find:

The paint needed for the entire wall.

Solution:

The volume of the paint required to cover 1/3 portion of wall = 3/4

The volume of paint required to cover the entire wall:

[tex]=\frac{3}{4}\times \frac{3}{1}\\\\=\frac{9}{4} gallon[/tex]

The paint needed for the entire wall is 9/4 gallons.

Learn more about the unitary method here:

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what is y x 6 for y =2/3

Answers

2/3×6= 4 just use substitution
your answer is 4
Why? well because
you just multiply the numerator and that equals 12/3
then you divide 12 by 3 and that equals 4.
Hope I had helped.

find the area and perimeter of the shape below. Help plzzz.

Answers

Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle  which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²

What pattern do you notice in the fractions that are equivalent to 1? Following this pattern how would you represent ninths as one whole

Answers

the numerator is always the same as the denominator
The numerator and denominator are the same

Examine the graph.

Select EACH interval where the graph is decreasing.

A) -4 < x < -2

B) 2 < x < 3

C) -1 < x < 1

D) 3 < x < 4


Answers

A) -4 < x < -2
B) 2 < x < 3
D) 3 < x < 4

They, all are the answers except C.
Here, we can see the graph is decreasing at that instances. so, that is your answer!

Hope this helps!

According to the graph, the function is decreasing on these following intervals:

A) -4 < x < -2  B) 2 < x < 3D) 3 < x < 4

On a graph:

On intervals in which the function points upwards, it is increasing.On intervals in which the function points downwards, it is decreasing.

In this problem, for options A, B and D, the function points downwards over the entire intervals, hence it is decreasing, and these options are correct.

A similar problem is given at https://brainly.com/question/24294701

How much longer is 3 meters than 3 yards?

Answers

three yards = 9feet
three meters=9.84 feet
Well, 3 meters is equivalent to 3.279 yd so your answer should be 0.279 yd longer

What is the highest unit price per kazoo if 25 are $10, 50 are $18.50 and 80 are $27.20

Answers

Answer:

$0.34

Step-by-step explanation:

Solve the quadratic equation
3x2 - 14x - 5 = 0
(the 2 is meant to be squared)
A) x = -3, and x = 5
B) x = 3, and x = -5
Eliminate
C) x = -
1
3
, and x = 5
D) x =
1
3
, and x = -5


(and the spaces between the numbers at the bottom of the choices r numbers)
PLS HELP
PLS!!

Answers

3x^2-14x-5=0
3x^2-15x+x-5=0
3x(x-5)+1(x-5)
x= -1/3, 5
ans is C

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate? Enter your answer in the box.

Answers

Question: Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate?                                                                                                                      Solution: I=Prt. First, we have to find the interest / I. In the question is asked: '' he had earned $2975 in interest" so we know that the Interest/ I is $2,975.      $2,975= $17,500/P*r*2/t in years   (Substitute)                                                    $2,975= 35,000r                             (Multiply)                                               $2,975/35,000= $35,000r/$35,000 (Divide each side by $35,000)                          $2,975/$35,000=0.085                                                                                           Covert the decimal 0.085 to a percent. To do so multiply the decimal by 100  0.085*100= 8.5, add the percent sign and you got the answer 8.5%                           Li's annual interest rate is 8.5% (we were finding the rate/r)

Answer:

8.5%✅

Step-by-step explanation:

I took a K12 2.08 Quiz: Simple Interest, so these are confirmed correct answers on my side, it could be different for other platforms.

An account with an initial balance of $5000 earns 5% interest for 3.5 years. What is the ending balance?

Enter your answer in the box

$5875

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. No money was deposited into or withdrawn from the account. What was the annual interest rate?

Enter your answer in the box.

8.5%✅

Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account. No money was deposited into or withdrawn from the account.

How many years was the money in the account?

Round your answer to the nearest whole year.

Enter your answer in the box.

4 years✅

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after ​3​ years?

Round your answer to the nearest cent. Enter your answer in the box.

$329.18✅

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After  312 years, she had earned $36.40 in interest on the account. No other money was deposited into or withdrawn from the account. How much was her initial deposit?

Enter your answer in the box.

$160✅

Have a wonderful day, and hope it helped.

What is the pattern for n times 3 plus 1

Answers

Given the way the problem is written in your worksheet (attachment):
___________________
"n x 3 +1 " ; you would write:
__________________________
"nine times three plus 1"  as:
___________________________
(n*3) + 1 ; (Using the order of operations: BE MD AS; which stands for:
                                                                 "Be excused, my dear Aunt Sally";
                                                                    or other variant phrase);
__________________________________________
Using this "order of operations" rules; we know that "multiplication" comes BEFORE "addition"; as such:
_________________
Given: "n * 3 + 1"; we can write: 
________________________
(n*3) + 1 ; with the parentheses as an emphasis that this                                                   "multiplication" component comes first.
___________________________________________
By convention, when a variable has a coefficient other than "1", we usually write the term with the coefficient coming before the variable.
___________________________________________
So, we can rewrite:
__________________
(n*3) + 1  ;  as:
__________________
(3*n) + 1 .
__________________
By convention; if we have a coefficient multiplied by a variable (symbolized with an "alphabet letter"), we simply write that coefficent, followed by the [variable symbolized with an "alphabet letter"]. By convention, the implication is that multiplication is inherent in these circumstances.

So, "(3*n)" can be rewritten as "3n"; 
__________________________________________________
And the term for the "pattern" (which is not an 'equation'); is:
____________________
3n + 1

Fin each unit rate. Determine which is lower.
Ingredient C: 1/4 cup for 2/3 serving
Ingredient D: 1/3 cup for 3/4 serving

Answers

(1/4) / (2/3) = 
1/4 * 3/2 =
3/8 (or 0.375) cups per serving

(1/3) / (3/4) = 
1/3 * 4/3 =
4/9 (or 0.444) cups per serving

the lower one is : 1/4 cup for 2/3 serving

The rate of each ingredient is required.

Rate of ingredient C is lower.

The number of cups is [tex]\dfrac{1}{4}[/tex]

The number of servings is [tex]\dfrac{2}{3}[/tex]

The rate for ingredient C is

[tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\\ =\dfrac{1}{4}\times \dfrac{3}{2}\\ =\dfrac{3}{8}=0.375\ \text{cups per serving}[/tex]

The number of cups is [tex]\dfrac{1}{3}[/tex]

The number of servings is [tex]\dfrac{3}{4}[/tex]

The rate for ingredient D is

[tex]\dfrac{\dfrac{1}{3}}{\dfrac{3}{4}}\\ =\dfrac{1}{3}\times \dfrac{4}{3}\\ =\dfrac{4}{9}=0.44\ \text{cups per serving}[/tex]

Rate of ingredient C is lower.

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what time what equal 27

Answers

1 times 27 equals 27

3 times 9 equals 27

9 times 3 equals 27

27 times 1 equals 27
these are some that  can equal 27

Answer:

boi do you know your multiplication tables!?

Step-by-step explanation:

1 times 27

3 times 9

that's it

how many 1/4 teaspoon doses are in 7/8 teaspoon of medicine

Answers

It is about 3.5 doses

Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes, and a watermelon that weighed 6.78 pounds. What is the total weight, in pounds, of the fruit that Shawn bought last week?

Answers

2.26 + 1.5+ 6.78= 10.54 lb.

Total weight, in pounds Shawn bought is 10.54 pounds

Given that;

Amount of banana bought by Shawn = 2.26 pound

Amount of grapes bought by Shawn = 1.5 pound

Amount of watermelon bought by Shawn = 6.78 pound

Find:

Total weight, in pounds Shawn bought

Computation:

Total weight, in pounds Shawn bought = Weight of banana + Weight of grapes + Weight of watermelon

Total weight, in pounds Shawn bought = 2.26 + 1.5 + 6.78

Total weight, in pounds Shawn bought = 10.54 pounds

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John says that if one side of an inequality is 0, you don't have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Find an inequality that you can use to disprove John's statement. Explain your thinking.

Answers

x >0
so x <0 if and only if x is -x
therefore u had to reverse the sign when multiplying by -1
mic drop
brainliest?

A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up. plz explain how to solve.

Answers

I hope this helps you
24.8 decagrams have been used,each decagram is 1/10 of a gram so if there's two decagrams left,24.8 grams have been used so far.

john and george raked 7/8 of the yard john raked 3/4 of the amount what part of the yard did george rake

Answers

This is a subtraction problem so subtract 3/4 from 7/8 (7/8 - 3/4). First you have to make them both have the least common denominator. That is 8. So multiply both the numerator and denominator or 3/4 by 2. 3 x 2= 6 and 4 x 2= 8. New fraction is 6/8. Now solve problem again with new fraction. 7/8 - 6/8= 1/8. Your answer is 1/8

Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?

Answers

we know that


The simple interest formula is equal to


[tex]I=Prt[/tex]


where


P is the Principal amount of money to be invested


I is the amount of money in interest

r is the rate of interest  

t is Number of Time Periods


in this problem we have


[tex]t=2\ years\\ I=\$14.65\\r=0.025[/tex]


substitute in the formula above  and solve for P

[tex]14.65=P(0.025)(2)[/tex]

[tex]P=14.65/[(0.025)(2)][/tex]

[tex]P=\$293[/tex]


therefore

the answer is

[tex]\$293[/tex]




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