Answer:
The robot can clean the room without recharging.
Step-by-step explanation:
Given:
After a robot vacuum is fully charged, it can run for [tex]15[/tex] minutes.
The robot cleans [tex]\frac{1}{2}[/tex] square foot every second.
To find: If the charged robot can clean a room that is [tex]400[/tex] square feet without recharging.
Solution:
Area cleaned by the robot in [tex]1[/tex] second [tex]=\frac{1}{2}[/tex] square foot.
We know that, [tex]1[/tex] minute [tex]=60[/tex] seconds.
So, [tex]15[/tex] minutes [tex]=15\times 60=900[/tex] seconds.
Now, area cleaned by the robot in [tex]900[/tex] seconds [tex]=\frac{1}{2} \times 900=450[/tex] square feet.
The area to be cleaned is [tex]400[/tex] square feet.
Hence, the robot can clean the room without recharging.
Jenny has a bag of jelly beans. Of all the jelly beans Jenny has there are a total of 20. If 13 of those jelly beans are green, what percent of the jelly beans are green?
Answer:
65% are green
Step-by-step explanation:
13 is 65% of 20
What is the surface area of this square based pyramid?
Answer:
The surface area of the pyramid is 340.2 cm²
Step-by-step explanation:
We can find the surface area of this pyramid by adding up the area of its square base and the four side triangles.
We're told that the base has a side length of 9.0 cm, so we know that its area is (9.0cm)², or 81cm²
We are told that the height of the side triangles is 14.4 cm. To find the area of a triangle, simply multiply its width times its height, and divide by two:
(14.4cm × 9cm) ÷ 2
= 129.6cm² ÷ 2
= 64.8 cm²
Now we can multiply that by 4, and add it to the base area to get the total surface area of the pyramid:
4 × 64.8cm² + 81cm²
= 259.2cm² + 81cm²
= 340.2cm²
Read the scenario and select the equations that model the situation.
Kim and Eduardo are selling fruit for a school fundraiser. Customers can buy small and large boxes of tangerines. Kim sold 12 small boxes of tangerines and 6 large boxes of tangerines for a total of $276. Eduardo sold 9 small boxes of tangerines and 11 large boxes of tangerines for a total of $337. Find the cost of one small box of tangerines and the cost of one large box of tangerines.
A) 9S + 11L = 276
B) S + L = 276
c)12S + 6L = 337
D) 12S + 6L = 276
F) 9S + 11L = 337
G) S - L = 337
Answer: D and F
Step-by-step explanation:
PLEASE please need help
Answer:
Question 3: 93 Question 4: -18
Step-by-step explanation:
Use Order of Operations (BEDMAS - Brackets Exponents Division Multiplication Addition and Subtraction).
Question 3:
Start with the numbers inside the brackets.
3^2 (4+6) + 3
= 3^2 (10) + 3
Then, solve the exponents.
= 9 (10) + 3
Multiply 9 and 10.
= 90 + 3
Add the numbers.
= 93
Question 4:
Again, start with the brackets.
3 (4+2) - 6^2
= 3 (6) - 6^2
Then, solve the exponent.
= 3 (6) - 36
Multiply 3 and 6.
= 18 - 36
Subtract the numbers.
= -18 (You can do 36 - 18 which is 18, then add the negative sign)
The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.
The radius of the sphere is 3x cm.
The volume of the cylinder is equal to the volume of the sphere.
Express h in terms of x. Give your answer in its simplest form.
Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is its base radius and h the height
volume of the given cylinder = [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x [tex](2x)^{2}[/tex] x h
= [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x 4[tex]x^{2}[/tex] x h
= [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius.
volume of the given sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x [tex](3x)^{3}[/tex]
= [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x 9 [tex]x^{3}[/tex]
= 12[tex]\pi[/tex][tex]x^{3}[/tex]
Since,
volume of the cylinder = volume of the sphere
Then we have;
[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h = 12[tex]\pi[/tex][tex]x^{3}[/tex]
4[tex]\pi[/tex][tex]x^{2}[/tex] h = 36[tex]\pi[/tex][tex]x^{3}[/tex]
subtract [tex]x^{2}[/tex] from both sides
4[tex]\pi[/tex]h = 36[tex]\pi[/tex]x
divide both sides by 4[tex]\pi[/tex]
h = [tex]\frac{36\pi x}{4\pi }[/tex]
= 9x
h = 9x
graph y=-1\2x please i need help with this
Answer:
Step-by-step explanation:
Slope is always rise over run.
"rise" up -1 or down in this situation because it is a negative
then 'run' or move to the right 2 places on the x-axis
Expand and simplify:
a(a + 5)
Answer:
a squared+ 5a
Step-by-step explanation:
a(a+5)
multiply everything inside the bracket
a times a is a squared
a times 5 is 5a
i hope i helped
please give me a brainliest!!<3
Solve for x: 3/5 (x+2) = x-4
1) 8
2) 13
3) 15
4) 23
Answer:
2), or 13
Step-by-step explanation:
x = 26/2 = 13
Answer:
13 is the the value of x.
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?
5 in
11 in
8 in
190 square inches
440 square inches
366 square inches
256 square inches
Answer:
Multiple 5 time 8 times 11 which is 440
Step-by-step explanation:
I took the same test
Answer:
440
Step-by-step explanation:
I took the test.
Nathan needed to get change for a dollar. Which coin amount is equal to 1.00
Answer:
4 Quarters. 10 dimes. 20 nickels. 100 pennies.
Step-by-step explanation:
I hope this helps! Please give me brainliest!
Danielle is playing a game. She started with 10 points. In the first round, she lost 20 points. In the second round, she won 45 points. Which of the following shows Danielle's score?
Answer:
30 points
Step-by-step explanation:
Seiko spent $98.34 on a pair of shoes and 3 pairs of fancy shoestrings. The shoes cost $45.99. How much was EACH pair of shoestrings?
Answer:
$17.45
Step-by-step explanation:
$17.45*3=52.35
$52.35+$45.99=$98.34
Solve the inequality:
16 < -2(x + 4)
Answer:
x < -12
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
16 < -2(x + 4)
Step 2: Solve for x
Distribute -2: 16 < -2x - 8Add 8 to both sides: 24 < -2xDivide -2 on both sides: -12 > xRewrite: x < -12Here we see that any number x smaller than -12 would work as a solution to the inequality.
Linear or nonlinear
Will mark brainliest hurry
Step-by-step explanation:
of course the answer is linear
cindy baught 1/4 amount of ribbon and jacob baught 7/8 amount of ribbon how much ribbon does jacob have
Answer:
0.875
Step-by-step explanation:
Which is the better buy, 6 ballpoint pens for $4.80 or 8 for $6.48? Explain how you got your answer.
Answer:
6 ballpoints pens is the better buy
Step-by-step explanation:
$4.80 x 6 = $28.80
$6.48 x 8 = $51.84
It's cheaper
17x2 + 7x - 14
This algebra 1
Answer:
x = 2.857 [rounded]
Step-by-step explanation:
17 x 2 = 34.
Next, we combine.
34 - 14 = 20.
Lastly, we divide 20 by 7.
20 / 7 = 2.857
[The answer is a decimal that doesn't end, but I rounded it for simplicity.]
help me this is worth all the points I have
Answer: the one is the middle is the d orrect answer i got this question last year too
Step-by-step explanation:
Answer:
A. The car has the fastest speed
Step-by-step explanation:
car=450/9=50
Bus= 510/12=42.5
Train=200/8=25
Therefore the car is the fastest
Find the length of D.
Answer:
root 50
Step-by-step explanation:
Pythagorean theorem d is the hypotenuse
Answer:
5/2
Step-by-step explanation:
/50 if you do a2+b2=c2 and c=d
Simplify each expression.
3x (1 – 3.0) + 3.2
Answer:
[tex]-6x+ 3.2[/tex]
Step-by-step explanation:
Given the expression
[tex]3x (1 -3) + 3.2[/tex]
step one: let us work on the terms inside the bracket
[tex]3x (-2) + 3.2[/tex]
Step two:
open the bracket
[tex]-6x+ 3.2[/tex]
Hence the simplified expression is
[tex]-6x+ 3.2[/tex]
a dilation with a scale factor O
Answer:
The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
Step-by-step explanation:
If you get £1 in exchange for £1.17 euros then how many euros would you get from £280.
Answer:
327.6 Euros
Step-by-step explanation:
£1 is got in for exchange for 1.17 Euros
£280 is got in exchange for 1.17×280 Euros =327.6 Euros
The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to travel 24 miles downstream, then what is the speed of the current? Brainly
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
Gloria pays her insurance in three installments each year. The first payment is 40% of the annual premium, and each of the next two payments is 30% of annual premium. If the annual premium is $924. Find the amounts of the three payments
Answer:
Amounts of first payment = $369.60
Amounts of Second and third payment = $277.20
Step-by-step explanation:
Given:
Annual premium = $924
First payment = 40%
Second payment = 30%
Third payment = 30%
Find:
Amounts of three payments
Computation:
Amounts of first payment = $924 x 40%
Amounts of first payment = $369.60
Amounts of Second payment = $924 x 30%
Amounts of Second payment = $277.20
Amounts of third payment = $924 x 30%
Amounts of third payment = $277.20
5. A clothing store had all their clearance items 50% off and then offered a 25% coupon to the first 50 customers that entered the store that day. If John Luke was one of the 50 customers, how much would he pay for a shirt that was originally $26.54?
Answer:
6.63
Step-by-step explanation:
This is the answer because 26.54 - 75 %
=6.63
Verified by FaZe DoDo
What is the true solution to 3 In 2+ In 8 = 2 In(4x)?
O X=1
O X= 2
O X=4
X= 8
Answer:
x=2
Step-by-step explanation:
Given: 3ln2 +ln8=2ln(4x)
⇒ln [tex]2^{3}[/tex]+ln8=2ln(4x) ( m ln (n)= ln([tex]n^{m}[/tex]))
⇒ ln8+ln8= 2ln(4x)
⇒ 2ln8= 2ln(4x)
comparing both sides, we get
8=4x
⇒x=2
- 4/25 into a decimal
Answer:
4/25 as a decimal is 0.16
Hope this helps!!!
The average of four numbers is 90. If three of the numbers are 70 .85, and 95. what is the fourth number?
Answer: 80
Step-by-step explanation: established
Thomas made 8700 ml of tomato soup.he packed 1.6L of the soup in his kids lunches .he then froze half of the remaining soup.
How many millimeters of soup did Thomas freeze
Answer: 3550
Step-by-step explanation:
1.6L equals 1600mL
8700-1600=7100 remaining
7100 divided by 2 = 3550
Boris currently has a savings account. He saves $25 per month.
He saves the same amount each month and does not take any
money out of the account. In how many months will Boris have
$250?
Answer:
Boris will have $250 in 10 months.
Step-by-step explanation:
$25 = one month.
$250= ?months
To find ?, the months we divide 250 by 25 to get this:
250 ÷ 25 = 10
10 months is the amount of time Boris will have to wait until he saves up $250.
Hope this helps you! Good luck with your quiz! :)