Answer:
184 in²
Step-by-step explanation:
Given :
Width, w = 6 inches
Length, l = 10 inches
Height, h = 2 inches
To obtain how much wrapping paper is needed ; we take the surface area of the box
Surface area = 2(lw + lh + wh)
Surface area = 2((6*10) + (6*2) + (10*2))
Surface area = 2(60 + 12 + 20)
Surface area = 2(92)
Surface area = 184 in²
The amount of wrapping paper needed = 184 in²
Zack placed $900 into a savings account. What is the total value of the account in 6 months at 3.5% rate?
Step-by-step explanation:
Interest=P×R×T/100
= 900×3.5×6/100
= 9×3.5×6. cancelling 900 by 100
= $189 Answer
3. Audrey measures the distance around the lid of her aquarium. The picture shows the shape of the lid. If the perimeter of the lid is 56 inches, what is the missing side length? * Brainliest and 20 points
Answer:
18 in
Step-by-step explanation:
What is the percent of 0.875?
Answer:
87.5%
Step-by-step explanation:
Just move the decimal place twice to the right.
Answer:
87.5%
Step-by-step explanation:
0.875× 100= 87.5%
solve the following question
Answer:
g) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex], h) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]
Step-by-step explanation:
We proceed to solve each equation by algebraic means:
g) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex]
1) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex] Given
2) [tex]\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }[/tex] Definition of division
3) [tex]\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}[/tex] [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]
4) [tex]\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)[/tex] Associative property
5) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex] [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/Result
h) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex]
1) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex] Given
2) [tex]\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }[/tex] Definition of division
3) [tex]\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}[/tex] [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]
4) [tex]\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }[/tex] Factorization/Distributive property
5) [tex]\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right][/tex] Modulative and commutative properties/Associative property
6) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex] [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/Definition of division/Result
Last summer Olivia earned $3800 by selling cakes. She invested some of the money in a savings account that paid 4.5%/yr and the rest in a government bond that paid 5.5%/yr. After one year, she has earned $180 in interest. How much did she invest at each rate? [4]
Answer:
Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Step-by-step explanation:
With the information provided you can write the following equations:
x+y=3800 (1)
0.045x+0.055y=180 (2), where:
x is the amount invested in a savings account
y is the amount invested in a government bond
First, you can solve for x in (1):
x=3800-y (3)
Next, you can replace (3) in (2) and solve for y:
0.045(3800-y)+0.055y=180
171-0.045y+0.055y=180
0.01y=9
y=9/0.01
y=900
Finally, you can replace the value of y in (3) to find x:
x=3800-900
x=2900
According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to the third side of the triangle
Answer:
11 square units
Step-by-step explanation:
Find the diagram attached
First we need to find the side length of the square with known areas.
Area of a square = L²
L is the side length of the square
For the green square
44 = L²
Lg = √44
For the purple square
Ap = Lp²
33 = Lp²
Lp = √33
Get the length (L) of the unknown square using pythagoras theorem;
Lg² = L²+Lp²
(√44)² = L²+(√33)²
44 = L²+33
L² = 44-33
L² = 11
Since Al = L²
Hence the area of the square adjacent to the third side of the triangle is 11 square units
Azim wants to buy a tablet computer that is priced at $255 25. If the sales tax rate on the computer is 8%, how many dollars and cents will Azim spend on the sales tax only?
Factorise completely 12 t 2 − 6 t
^^^^^^^
Answer:
6t(2t - 1)
Step-by-step explanation:
12t² - 6t
Common factor: 6t
Factored:
6t(2t - 1)
Please help me with the first half
Answer:
a) 12:45 am
b) 7:30 pm
c) 20:15
d) 0:00
Step-by-step explanation:
a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.
The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.
So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."
b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."
But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:
19 - 12 = 7
So it's the 7th hour.
So it would be 7:30 pm.
c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.
8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).
12 + 8 = 20
This is our hours. We can attach it to the minutes: 20:15.
d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.
If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.
This means that no time has passed during Sunday yet—it just reset.
So it would be 0:00 because no time has passed officially on Sunday yet.
An electric frying pan was on sale for 20 percent off. The sale price was $36. What was the original price?
Answer: $45
Step-by-step explanation:
Let the original price be x.
Since there was a discount of 20%, it means the person bought the frying pan at (100% - 20%) = 80% of the original price. This can then be formed into an equation as:
80% × x = $36
0.8 × x = $36
0.8x = $36
x = $36/0.8
x = $45
The original price was $45
Help me with this please
Answer:
x = 138
Step-by-step explanation:
Exterior angle thm:
68 + 70 = x
x = 138
Please answer correctly! I will mark you Brainliest!
Answer:
d=18 feet
Step-by-step explanation:
The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],
[tex]972\pi =\frac{4}{3}\pi r[/tex]³
Divide [tex]\pi[/tex] from each side,
[tex]972=\frac{4}{3} r[/tex]³
Multiply each side by 3/4 to get rid of the fraction,
[tex]r[/tex]³[tex]=729[/tex]
Using the cube root, we find that 729 is actually a perfect cube.
[tex]r=9[/tex]
Now, the diameter is 2 times the radius, so
9×2=18
So, the measure of the diameter is 18 feet.
In 2015, Mrs. Jonos paid $630 in Medicare
taxes. This represents 1% of her salary. What
was Mrs. Jones's gross income in 2015?
A culture started with 1,000 bacteria. After 7 hours, it grew to 1.200 bacteria. Predict how many bacteria will be present after 14 hours. Round your answer to the nearest whole number.
P= Ae^kt
Answer:
8
Step-by-step explanation:
Because i wanted extra points.
.
Four different cellular phone plans are shown below.
• Plan 1 charges $0.35 per minute with no monthly fee.
Plan 2 charges a monthly fee of $10.00 plus $0.25 per minute.
• Plan 3 charges a monthly fee of $59.95 with 200 free minutes.
Plan 4 charges a monthly fee of $15.00 plus $0.20 per minute.
Which plan is the least expensive for 200 minutes of cellular phone use?
.
A. Plan 4
B. Plan 3
C. Plan 1
O
D. Plan 2
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
Answer:
A is correct. Hope it helps.
Please help me with the
Answer: i think its 10
Step-by-step explanation:
2
A = 4.86 yd
b=
h= 1.8 yd
b= 2.7 yd
The answer is: 2.7yd
On a map, 1 inch equals 5.2 miles. Two house are 3.5 inches apart on the map. What is the actual distance between the house?
Answer:
18.2 miles
Step-by-step explanation:
simple multiplication:
We know that 1 inch of distance on the map is equal to 5.2 miles.
Using this knowledge we can multiply the amount of inches by the miles per inch.
5.2*3.5=18.2 miles apart
Hope this helps!!
Manny invested $8,000 in an account that pays 6.5% simple
interest. Manny will not make any additional deposits or
withdrawals. How many years must the money stay invested for
before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!
Answer:
it is A
Step-by-step explanation:
i remember doing this in middle school.
EASY POINTS!! BRAINLIEST TO THE BEST DISC!!
Answer: I BELIVE it’s 60
Step-by-step explanation:
What does the best fit line estimate for the y value when x is 100
The best fit line estimate for the y value when x is 100 in this case is 205.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To determine what the best fit line estimate for the y value is when x is 100.
Assuming that you have a linear regression model with the equation y = mx + b, where "m" is the slope and "b" is the y-intercept, you would need to know the values of "m" and "b" to estimate the y value for a given x value.
If you have these values, you can substitute x = 100 into the equation and solve for y.
The resulting value will be the estimated y value for the given x value.
If the equation of the best fit line is y = 2x + 5, then the estimated y value when x is 100 would be:
y = 2(100) + 5
y = 200 + 5
y = 205
Hence, the best fit line estimate for the y value when x is 100 in this case is 205.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
please help I will mark 5 stars and worth 30 pts
Answer:
25
Step-by-step explanation:
I took the test 2021!!!
what is the volume of the following prisim? i will be so grateful
Answer:
i dont know this is to hard
Step-by-step explanation:
pay back for saying that on my question
Write the inequality that is represented by the number line below use x as your variable
Answer:
-4 < x < 2
Step-by-step explanation:
-4 is where the first point begins.-4
since the point is "open", aka not shaded, it should be "<"-4 <
we now have to insert the given variable, x-4 < x
the second, ending point, is also "open"-4 < x <
the ending point lands on 2-4 < x < 2
hopefully this answers your question. but a little fyi, this is simply the way i learned it, so it may/may not be what you exactly need :)
A math equation. :!!!!!
Answer:
1/7
Step-by-step explanation:
Find the lateral surface area.
Answer:
Step-by-step explanation:
There is a 20% sale on in Topshop. The bag I want is now £60. What was the original cost of my bag?
Answer:
£75
Step-by-step explanation:
Current value= 80
previous value= 100
current value 1
previous value = 100/80
current value- £60
previous value 100x60/80
=6000/80
= £75
plz mark me as brainliest.
Randomly select a painted rock from a bag containing 4 purple rocks, 3 green rocks, 3 orange rocks, and 2 blue rocks.
Answer:
i got a orange
Step-by-step explanation: