Answer:
7.21 × 10⁻⁷
Step-by-step explanation:
(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
Find the mean, median, mode, range.
Answer:
1. mean: 5
2. median: 6
3. mode: 80% or 8
4. range: 7
Step-by-step explanation:
Answer:
mean = 5
median = 6
mode = 80%(aka 8)
range = 7
Step-by-step explanation:
The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK
There for the diameter is 2(4.8 )= 9.6 ft
Given: Volume of the cone is 83.7 m³
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]
where r is the radius of the cone and h is the height of the cone
Given: Height of the cone = 5m
Substituting the values in the formula, we get:
[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]
[tex]\sf{\implies \pi r^2 = 50.22}[/tex]
[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]
[tex]\sf{\implies r^2 = 16}[/tex]
[tex]\sf{\implies r = 4}[/tex]
We know that : Diameter is two times the radius
⇒ Diameter of the Cone is 8 meters
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?
Answer:
Area of four walls is 3960 square feet.
Step-by-step explanation:
length, L = 30 ft
Width, W = 50 ft
height, H = 6 ft
The area of walls is
= 2 (L W + W H + H L)
= 2 (30 x 50 + 50 x 6 + 6 x 30)
= 2 (1500 + 300 + 180)
= 3960 square feet
Answer/Step-by-step explanation:
How much tile would he need to cover the floor?
Answer: 1500 Ft^2
If the height of the basement is 6 ft, how much wall area is there to paint?
Answer: 960 Ft^2
Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25
solve the inequality 2-x<7
Answer:
x>-5
Step-by-step explanation:
2-x<7
Subtract 2 from each side
2-x-2<7-2
-x<5
Multiply each side by -1, remembering to flip the inequality
x>-5
A guitar is originally priced at $80. The online retailer gives a discount and the guitar is now priced at $44. Enter the percentage discount for the cost of the guitar. (PLEASE ANSWER THIS I NEED THE ANSWER BY TODAY RIGHT NOW!!!)
Answer:
The percentage discount for the cost of the guitar is 45%.
Step-by-step explanation:
First let's find the difference between the original price and the new price.
80 - 44 = 36
So the actual discount got the price down by $36.
To find the percentage discount we need to ask ourselves the question
36 is what percent of 80?
36 = X percent of 80
In math, of means multiply.
36 = X percent * 80
So to get the "X percent" part alone we divide by 80 on both sides.
36 divided by 80 = 0.45
36 is 45 percent of 80.
The percentage discount for the cost of the guitar is 45%.
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
Which of the following is an equivalent trig ratio for tan 28
Cos 62
1/ tan 62
1/ tan152
Cos 28
Answer:
B
Step-by-step explanation:
tan28=tan (90-62)=cot 62=1/tan 62
The sum of a number and its square is 12 . Find the number
Answer:
Two solutions
3
-4
Step-by-step explanation:
3 + 3²
3 + 9 = 12
-------------------
-4 + (-4)²
-4 + 16 = 12
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
7th grade girl!
*(urgent, please help! )*
For all the angles, you will have to solve for x
A: 162 = 3x
162/3 = x
54 = x
M: 120 + 2x = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30
W: 150 = 30x
150/30 = x
5 = x
S: 20 + 2x = 90
2x = 90 - 20
x = 70/2
x = 35
Q : 45 + 5x = 90
5x = 90 - 45
x = 45/5
x = 9
P: not too sure if its 150,
150 + (x+5) = 180
x+5 = 180- 150
x = 30 - 5
x = 25
now you will put all the x values in order. ( i think thats what you supposed to do)
it will be: 5, 9, 25, 30, 35, 54
hope this helps♡♡♡
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Answer:
1 /24
Step-by-step explanation:
Given the 3 spinners :
Probability = required outcome / Total possible outcomes
Probability that Spinner 1 lands on A :
P(spinner 1 lands on A) = 1/2
Probability that spinner 2 lands on 4 :
P(lands on 4) = 1 / 4
Probability that spinner 3 lands on green :
P(lands on green) = 1/3
Combined probability = 1/2 * 1/4 * 1/3 = 1 /24
the dishes have been cleaned by us into active voice
Answer:
the dishes sparkled after we washed them.
Step-by-step explanation:
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
What does it mean buy “Determine the total volume of the doghouse.”
I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answer:
512
Step-by-step explanation:
when q = 2, w = 3
4q(q + 3w)^2
= 4(2) ((2)+3(3))^2
= 512
The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
Diameter, D = 2.65 cm
Step-by-step explanation:
Given the following data;
Circumference of circle = 8.34 cm
To find the length of its diameter;
Mathematically, circumference of a circle is equal to;
C = πD
Where;
C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142Substituting into the formula, we have;
8.34 = 3.142 * D
[tex] D = \frac {8.34}{3.142} [/tex]
Diameter, D = 2.65 cm
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
PLEASE HELPP MEEE ASAPPPPP
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10
What is the length of bc in the right triangle below?
The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?
Answer:
the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79
Step-by-step explanation:
i think im 100 percent correct i took the test on flvs if I'm wrong just let me know
Which inverse of the difference of 1/3 - 1/4?
Answer:
0/1
Step-by-step explanation: