Answer:
(i) 8.5 × 10^-12
(ii) 9.42 × 10^-12
(iii) 602 × 10^15
(iv) 8.37 × 10^-9
(v) 3.186 × 10^10
Step-by-step explanation:
(i) 0.0000000000085
= 0.0000000000085 × 10^12/10^12
= 8.5/10^12
= 8.5 × 10^-12
(ii) 0.00000000000942
= 0.00000000000942 × 10^12/10^12
= 9.42/10^12
= 9.42 × 10^-12
(iii) 6020000000000000
= 602 × 10^15
(iv) 0.00000000837
= 0.00000000837 × 10^9/10^9
= 8.37/10^9
= 8.37 × 10^-9
(v) 31860000000
= 3.186 × 10^10
-TheUnknownScientist
What is the equation of a line that passes through the points (3,6) and (8, 4)?
Answer:
y=-2/5x+36/5
Step-by-step explanation:
Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sell a tray with 48 servings of pasta for $60. Cookin' Catering sells a tray with 30 servings of pasta for $72. Which company has the better deal?
Answer: Banquet Brothers has better deal.
Step-by-step explanation:
Given: Banquet Brothers sell a tray with 48 servings of pasta for $60.
Cost per serving = [tex]\$\dfrac{60}{48}=\$\dfrac{5}{4}=\$\ 1.25[/tex]
Cookin' Catering sells a tray with 30 servings of pasta for $72.
Cost per serving = [tex]\$\dfrac{72}{30}=\$\ 2.4[/tex]
Since, Cost per serving in Banquet Brothers < Cost per serving in Cookin' Catering
So, Banquet Brothers has better deal.
The cost of 24 bottles of water is $6?witch expression shows to find the cost of 10 bottles of water
Answer:
so 24 bottles = 6 so you need to find out what 1 bottle cost so you do 6/24 = 0.25$ so then to find 10 you just easily multiple 10x0.25 = 2.5$
Step-by-step explanation:
Here you go, Hope this helped :)
PLEASE ANSWER QUICKLY!!!!
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
(x3x²+2) (3x² 42x-4)
Answer:
3x242x-4
2(363x-2)
726x-4 the answer
Step-by-step explanation:
because this is the answer
sana nakatulong
Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.
Answer:
40 minutes
Step-by-step explanation:
30 minutes ÷ 12 laps = 2.5 minutes per lap
2.5 minutes per lap * 16 laps = 40 minutes
please help! thank you
Solve for x.
Here is the set up:
11x - 2 = 75
Take it from here.
Answer:
7
Step-by-step explanation:
11x-2=75
11x=77
x=7
explanation:
The given information lets us know that 11x-2 is equal to 75 because it is corresponding with the top left exterior angle.
Tess sang 2 fewer songs today than she did yesterday. Yesterday, Tess
sang 9 songs. Which number sentence can be used to find the number
of songs Tess sang today?
9 + 2 =
9- 2 =
9-9 =
Answer:9-2 is the right one
Step-by-step explanation:
What is the area or the front side of the house
Answer two questions about Systems A and B:
System A System B
−4x−6y=9 −4x−6y=9
3x+y=−4 −x−5y=5
1) How can we get System B from System A? Choose 1 answer:
A. Replace only the right-hand side of one equation with the sum/difference of the right-hand sides of both equations.
B. Replace one equation with the sum/difference of both equations.
C. Swap only the left-hand sides of both equations.
D. Swap the order of the equations.
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution? Choose 1 answer:
(Choice A)
Yes
(Choice B)
No
please actually answer and ill give brainly thank you :) !
Answer: In khan academy, the answer is Replace one equation with sum/difference of both equations.
Someone Plzzzz Help!?!
Answer:
A)74.1%
B)20.83%
C)62.5%
D)5%
Find the slope of the line described by 28x −12y + 50 = 0.
Step-by-step explanation:
Move 12y to the other side
12y=28x + 50
Divide both sides by 12
y=7x/3 + 25/6
Slope is 7/3
HELP PLEASEEEEEEEEEEEEEEEEEREEEE
Step-by-step explanation:
so you go game 1 up 14
then go right 5 up 82
right 10 up 129
then you connect them
Answer:
so you go game 1 up 14
then go right 5 up 82
right 10 up 129
then you connect them
Step-by-step explanation:
How would I do this?
Answer:
the 2nd one (slope) circle or highlight -17 cus the one with the exponent being (x) so keep that in mind. plus the y on the 2nd one is the one without the exponent (x) being 12.
Answer to the question, please
Answer:
12 hours
Step-by-step explanation:
2 1/2=5/2=2.5
3 1/2=7/2=3.5
2.5+3.5+3+4=12 hours
Fabric is sold by the yard. You are buying fabric to make a blanket and the first yard is $10 and each additional yard is $8. Write an expression to model this situation
Answer:
8x + 10
Step-by-step explanation:
Its 8x + 10 because its saying that the first yard is $10, and each additional yard is $8. To represent that, its already giving us the cost for the first yard, which is $10. And to represent each additional yard, we will use a variable combined with 8 which is 8x.
Hope this helped :)
Which phrase describes the algebraic expression 6x?
Answer:
Six times a number
Step-by-step explanation:
X can be referred to as a number and the expression is multiplying it by six so you can say six times a number.
Answer:
The product of 6 and a number, or also C
Step-by-step explanation:
✨ E d g e n u i t y✨
The result of a multiplication operation is called a product. The multiplication of whole numbers may be thought of as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier.
Stephen can type 70 words a minute.
How many words can be typed in 1.5 minutes?
Answer:
105 words
Step-by-step explanation:
1/2 of 70 = 35
70+35=105
Answer:
105
Step-by-step explanation:
I think 105 bc I just multiply it
Please help with these questions a b and c pls tyyyyyyy
Answer:
23, 5, 3
Step-by-step explanation:
Following the order of operations as stated in PEMDAS , then
(a)
5 + 2 × 3² ← evaluate exponent
= 5 + 2 × 9 ← perform multiplication
= 5 + 18 ← perform addition
= 23
---------------------------------------
(b)
[tex]\frac{7+8}{5-2}[/tex] ← perform calculations on numerator/denominator
= [tex]\frac{15}{3}[/tex] ← perform division
= 5
-------------------------------------------
(c)
[tex]\frac{18-3(2)}{5-1^2}[/tex] ← evaluate numerator/denominator using PEMDAS
= [tex]\frac{18-6}{5-1}[/tex]
= [tex]\frac{12}{4}[/tex]
= 3
. Katie withdrew a total of $300 from her bank account over the last 5 weeks. How much money did she withdraw each week? Write a division problem and then find the answer.
Answer:
300/5=60
Step-by-step explanation:
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
Write an expression for each statement
1. The sum of four x and twenty
2. The difference between 2n and thirty
3. The sum of 5d and seventeen
4. Three substracted from 4p
5. Twenty-five added to 17g
1. s = 4x + 20
2. d = 2n - 30
3. s = 5d - 17
4. 4p - 3
5. 17g + 25
Answer:
4x + 20
2n - 30
5d + 17
4p - 3
17g + 25
Step-by-step explanation:
I'm not sure if this is what you are looking for but hope this helps
Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Answer:
100+50t
Step-by-step explanation:
Answer:
P = 100+50t
The y-intercept of the function is 100 which represents the initial fee of using the studio.
Please choose all that apply!
-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5
A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5
I assume it's D, but I'm not fully sure.
Answer:
D You got it right. 65% 5/8 3/5 0.5
Gas costs $2.07 a gallon.
Write an equation to model
this math situation.
How much will it cost for 15 gallons?
a
y=15x; $31.05
b
x=2.07y; $7.24
c
y=2.07x; $31.05
d
y=15x; $7.24
Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
