Based on the given conditions, formulate:
34÷1 1/3
Find common denominator and write the numerators above common denominator:
34/3/3+1/3
Write the numerators over common denominator:
34/3+1/3
Calculate the sum or difference:
34/4/3
Divide a fraction by multiplying its reciprocal:34×3/4
Cross out the common factor:
17×3/2
Calculate the product or quotient:
51/2
get the result:
25.5 or 25 1/2
=25.5 or 25 1/2
Three moons are in the same circular orbit around a planet. The moons are each 98,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 12,000 kilometers in diameter and m∠ABC=90°. How far is point A from point C?
Answer:
The distance between points A and C is 275000 kilometers
Last year a company spent a total of £2400 on advertising. This year they spent £2796 What was the percentage increase in their spending on advertising?
Answer:
16.5%
Step-by-step explanation:
[tex] \frac{396}{2400 } \times 100[/tex]The percentage increase in their spending on advertising will be 16.5%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Last year an organization spent a sum of £2400 on publicizing. This year they burned through £2796.
Then the percentage increase in their spending on advertising will be given as,
P = [(2796 - 2400) / (2400)] x 100
P = (396 / 2400) x 100
P = 0.165 x 100
P = 16.5%
The percentage increase in their spending on advertising will be 16.5%.
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A washer and dryer cost a total of $964 . The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer:
A washer and dryer cost a total of $964 . The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer: 96$
Answer:
The washer costs $723 and the dryer $241.
Step-by-step explanation:
Represent the cost of the washer by w and that of the dryer as d.
Then w = 3d.
Since w + d + $964, we get 3d + d = $964, or 4d = $964, or d = $241.
Three times that is $723.
The washer costs $723 and the dryer $241.
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
7.235 cm
Step-by-step explanation:
Pythagorean theory
A^2 + B^2 = C^2
A = 4.7
B = 5.5
4.7^2 + 5.5^2 = C^2
22.09 + 30.25 = C^2
√52.34 = √C^2
7.235 cm ≈ C
A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the field
Answer:
5000 square meters
Step-by-step explanation:
Create a rectangle and use any variable to lable it.
I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.
Count the number of c's up and you will get 6.
Divide 300/6 to get the value for c.
You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).
Now that you have the length and width of the triangle, use length times width to find the area.
100x50=5000
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
3w(x+y) - 4z(x+y)
Step-by-step explanation:
Hope it helps......
3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B
How to solve thisTo factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.
The given expression is 3wx + 3wy - 4zx - 4zy
First, put the terms into pairs.
The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.
Next, separate and remove the terms that are the same from each group.
The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).
This is a summary:
In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.
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Someone Plss Help!!!! The dot plots compare the number of raffle tickets sold by students for a school fundraiser.
Answer:
That's just the way of the world
Somewhere in the world, they think they're working for themselves
They get up everyday to go to work for someone else
And somebody works for them and, so, they think they got it made
But they're all just working to get paid the very same
And so, they keep on twiddlin' them thumbs.
You can rewrite the trajectory equation as y = -16(x-1)^2 + 19
I believe the answer is -16x+35
The sum of two consecutive odd numbers is 28. Find their product
We will see that the first odd number is 13 and the second odd number is 15, the product is:
P = 13*15 = 195
How to find the two consecutive odd numbers?
Let's say that the first number is x, the next odd number will be x + 2.
The sum of these two odd numbers must be 2, then we need to solve the linear equation:
x + (x + 2) = 28
We can solve that for x:
2x + 2 = 28
2x = 28 - 2 = 26
x = 26/2 = 13
Then the first number is x = 13 and the second number is x + 2 = 13 + 2 = 15.
The product of these two numbers is:
13*15 = 195
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Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Answer:
29 i
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
what is this
please help
Answer:
The answers are the 2nd box, 4th box, and 5th box.
A department store buys 300 shirts at a cost of $8,100 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
11.11%
Step-by-step explanation:
C.P = $8,100
S.P =$30 ×300
=$9,000
Markup = $9000-$8100
=$900
% markup = 900/8100 × 100
=11.11%
HELP!
The function f(x) = ax^2 + bx +c has an axis of symmetry of x = -3. The graph opens downwards and passes through the point (0,5). Write a possible equation for f(x).
Find the volumn of prism given figures
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of surface areas and volumes.
To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.
Here we divide it into two separate parts. so we get as,
after solving, we get total volume as 1140 cm^3
Find the median, first quartile, third quartile, and interquartile range of the data.
84,75,90,87,99,91,85,88,76,92,94
median:
first quartile:
third quartile:
interquartile range:
am confused :/
Answer:
Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8
Step-by-step explanation:
1. Sort the numbers in numerical order (like 1, 2, 3, etc.)
2. Find the number that is in the middle
3. Find all the quartiles by finding the median of the lower and upper halves of the list
4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR
What is the distance between points (8,3) and (53,31) on a coordinate plane?
Answer:
53 units
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]
Thus, the distance between the two points is 53 units
83250/?=74*25
options are:
a) 50
b) 45
c) 40
d) 55
e) none of these
Answer:
B. 45
Step-by-step explanation:
Simplyfy 74*25
1850
Now blug in all the values for the "?".
83250/45=1850
This is the only value that staifies this equaton so therefore, B 45
Answer:
45.
Step-by-step explanation:
83250/x=74*25
83250/x=1850
1850 * x = 83250
x = 83250 /1850
= 45
PLS HELP ITS ONLY 2 QUESTIONS
For number 6, Cylinder formula 3.14r^2*h (h=height)
For 5, pyramid formula 1/3b*h
5) base=33
Length=34
Height=21
6) pi=3.14
Radius=20
Height=31
Answer:
Cylinder: 3.14(20)^2*31
3.14(400)*31
1,256*31
becomes the answer 38,936!
Pyramid: 1/3(33)^2*21
1/3(1,089)*21
363*21
7,623!!!
Which of the following isatangent
Answer:
can you re word this i dont understand
What is the value of the expression (2^4)^2?
Answer:
256Explanation:
[tex]\dashrightarrow \sf \left(2^4\right)^2[/tex]
apply exponent rule: [tex]\bold{\left(a^b\right)^c=a^{bc}}[/tex]
[tex]\dashrightarrow \sf 2^{4*2}[/tex]
[tex]\dashrightarrow \sf 2^{8}[/tex]
[tex]\dashrightarrow \sf 256[/tex]
[tex]\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}[/tex]
PLEASE SOLVE. I NEED IT TO BE CORRECT!
Answer:-4,000/ -20
Step-by-step explanation:
hopefully this is right, so you have multiple choice and if so is this up their?
Answer:
198
Step-by-step explanation:
Can anybody help with Simple interests
Answer:
1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19
Step-by-step explanation:
1.) You need to know the exponential growth and decay formula.
The formula: y=ab^x
**For no.1**
Your initial amount is 300 which is the a
You need to do 100%+8% which is 108%
-This needs to be in decimal form: 1.08
4 years is the number of times the interests shall go up
Now do the equation:
y=300(1.08)^4 --> Multiply everything but do exponents first!!
y= $408.146688
$408.15 - This is the answer for no.1 it shall be rounded
**For no.2**
Same thing as last:
y=1500(1.75)^3
y= $8,039.0625
$8,039.06
**For no.3**
y=900(1.12)^60
y= 807,837.24
This had to be approximate
**For no.4**
y=820(1.06)^6
y= 1,163.1856
$1,163.19
cany anybody give me the awnser to this?
Have a look at the attached image.
Please answer number 2. I don’t understand I’m very stressed right now I need help please.
Answer:
Smaller
Step-by-step explanation:
Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller
:thumbsup:
Pls help me !! Pls help me !!
Answer:
x= -2
Step-by-step explanation:
Make denominator same
3*(x+10)/12 - 2*(x-10)/12 = 6*(x+10)/12
denominators are same so numerators has to same as well
3*(x+10)-2*(x-10)=6*(x+10)
expand brackets
3x+30-2x+20 = 6x+60
x+50=6x+60
x-6x=60-50
-5x=10
x= -2
how do you recognize an exponential equation
if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.
Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3
A. -2/7
B. -8/15
hope it helps...!!!
Find the value of f(5) for the function.
f(x) = 6+3x
Answer: 21
Step-by-step explanation:
This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.
What resolution should images for a nature magazine have?
neutral
high
low
Write an expression equivalent to the expressions 12x+16y using the gcf
pls help
Answer:4(3x+4y)
Step-by-step explanation: the gcf of 12x+16y is 4. we factor out 4 by dividing both terms by 4.
Answer:
[tex]4(3x+4y)[/tex]
Step-by-step explanation:
Hey there!
This would be the correct answer because the GCF of 12 and 16 is 4.
Now that we know that it is 4 we can divide the eqiasion by 4 and then you get
[tex]4(3x+4y)[/tex]
If you need to ckeck if this answer is corret then you will need to use the distributive property to distribute 4 to 3y and 4y.
The equasion would then look like this
[tex](4(3x)) (4(4y))[/tex]
Next you would need to solve the equasion to get the origional equasion
[tex]12x+16y[/tex]