Answer:
[tex]7.96 *10^8kg[/tex]
Step-by-step explanation:
Given
[tex]Eiffel = 9.16 * 10^6\ kg[/tex]
[tex]Golden\ Gate =8.05 * 10^8kg[/tex]
Required
Determine the difference in mass
This is calculated by subtracting the mass of Eiffel tower from the mass of Golden gate bridge
[tex]Difference = Golden\ Gate - Eiffel[/tex]
[tex]Difference = 8.05 * 10^8 - 9.16 * 10^6[/tex]
Express [tex]10^8[/tex] as [tex]10^6 * 10^2[/tex]
[tex]Difference = 8.05 * 10^2*10^6 - 9.16 * 10^6[/tex]
Express [tex]10^2[/tex] as [tex]100[/tex]
[tex]Difference = 8.05 * 100*10^6 - 9.16 * 10^6[/tex]
[tex]Difference = 805 *10^6 - 9.16 * 10^6[/tex]
Factorize:
[tex]Difference = (805- 9.16) * 10^6[/tex]
[tex]Difference = 795.84 * 10^6[/tex]
Factorize the decimal number
[tex]Difference = 7.9584 *10^2 * 10^6[/tex]
[tex]Difference = 7.9584 *10^8[/tex]
Approximate:
[tex]Difference = 7.96 *10^8[/tex]
Answer:
7.96*10^8kg
Step-by-step explanation:
A store sold a case of candles for $17.85 that had been marked up 10%. what was the original price?
Step-by-step explanation:
The original price was $16.23
Explanation:
We can rewrite this problem as:
110% of what is $17.85.
"Percent" or "%" means "out of 100" or "per 100", Therefore 110% can be written as
110 x/100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number we are looking for "n".
Putting this altogether we can write this equation and solve for
n
while keeping the equation balanced:
110/100 × n = $17.85
110/100 × n = $17.85
110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85
110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85
100/110 <¬ cross out × 110/100 <¬ cross out × n = $ 1785/110
× n = $ 1785/110
n = $16.23n rounded to the nearest penny.
What is the least common multiple of 5 & 6?
Answer:
30
Step-by-step explanation:
5=5,10,15,20,25,(30),35
6=6,12,18,24,(30),36
30 is the first number that can be used to divide both numbers
Answer:
30
Step-by-step explanation:
5* 6 =30 and no number less than 30 works :)
PLEASE HELP thank youuu!!
Answer:
None of them...
I think so I might have done it wrong
Step-by-step explanation:
6x-5=2x+7
6x-2x=7+5
4x=2
x=2/4
james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved. If they both save 30 more, james will have saved 3/4 as much as her sister. What equation could you use to find how much james has saved
Answer:
money saved by james = 30/2 = 15
equation used
money with James = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
Step-by-step explanation:
Let money saved by sister be x
given
James has saved half the amount of money as his sister has saved.
Money saved by James = x/2
Total money saved by both of them = x + x/2
If they both save 30 more
Then
money with sister = x + 30
money with james = x/2 + 30
given that If they both save 30 more, james will have saved 3/4 as much as her sister
thus,
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
Thus,
money saved by james = 30/2 = 15
equation used
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
HHelpppp Quickk !!!! ITS DUE RIGHT NOW HElpppp
A vehicle weighs 18,000 pounds. How many tons does the vehicle weigh?
Answer:
The vehicle weighs 9 tons.
Step-by-step explanation:
1 ton = 2,000 pounds
18,000 ÷ 2,000 = 9
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
I will give the brainliest Answer :D
Answer:
the lengths are the same with the given, 5 cm for the bottom one,and 4 cm for the right one.
then since the first give angle is 56 which is the same to the right below. 56+56=112
360-112=248 (it is 360 because the shape is a quadrilateral
and then, since the other angles left are congruent the you divide the 248 to 2, and the answer will be 124
so, 56+56+124+124=360
(I'm sorry for the explanation, I'm not really good at explaining hehe)
30 points will mark brainlyist
Write the equation of line that is perpendicular to x = 6 and passes through the point (2.8) (do not put spaces in your answer)
Answer:
y=18x+16
Step-by-step explanation:
ty
4x^2-15x-4
factorise please
______________________________
1.) Change the equation using factored transformation: [tex]4x^2-15x-4=0[/tex]- Quadratic polynomial can be factored using the transformation [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2})[/tex], where [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the solutions of the quadratic equation [tex]ax^2+bx+c=0[/tex].
- This steps basically means change you current equation using the formula [tex]ax^2+bx+c=0[/tex].
2.) Turn the factored form into the quadratic equation form:[tex]x=\frac{-(-15)\frac{+}{}\sqrt{(-15)^2-4\bold{x}4(-4)}}{2\bold{x}4}[/tex]- All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]\sqrt{\frac{-b\frac{+}{}\sqrt{b^2-4ac}}{2a} }[/tex].
- The quadratic equation formula gives two solutions, one when [tex]\frac{+}{}[/tex] is addition and one when it is subtraction.
3.) Square -15:[tex]-15^2=225[/tex]
Equation at the end of Step 3:
[tex]x=\frac{-(-15)\frac{+}{}\sqrt{225-4\bold{x}4(-4)}}{2\bold{x}4}[/tex]4.) Multiply −4 times 4:[tex]-4[/tex] × [tex]4=-16[/tex]Equation at the end of Step 4:
[tex]x=\frac{-(-15)\frac{+}{}\sqrt{225-16(-4)}}{2\bold{x}4}[/tex]5.) Multiply −16 times −4:[tex]-16[/tex] × [tex]-4=64[/tex]Equation at the end of Step 5:
[tex]x=\frac{-(-15)\frac{+}{}\sqrt{225+64}}{2\bold{x}4}[/tex]6.) Add 225 to 64:[tex]225+64=289[/tex]Equation at the end of Step 6:
[tex]x=\frac{-(-15)\frac{+}{}\sqrt{289}}{2\bold{x}4}[/tex]7.) Take the square root of 289:[tex]\sqrt{289}=17[/tex]Equation at the end of Step 7:
[tex]x=\frac{-(-15)\frac{+}{}17}{2\bold{x}4}[/tex]8.) Change -15 to positive 15:[tex]-15=15[/tex]Equation at the end of Step 8:
[tex]x=\frac{15\frac{+}{}17}{2\bold{x}4}[/tex]9.) Multiply 2 by 4:[tex]2[/tex] × [tex]4=8[/tex]Equation at the end of Step 9:
[tex]x=\frac{15\frac{+}{}17}8}[/tex] 10.) Now Solve:Now solve the equation [tex]x=\frac{15\frac{+}{}17}8}[/tex] when [tex]\frac{+}{}[/tex] is plus.
Add 15 to 17:
[tex]15+17=32[/tex][tex]x=\frac{32}{8}[/tex]Divide 32 by 8:
[tex]32[/tex] ÷ [tex]8=4[/tex][tex]x=4[/tex]Now solve the equation [tex]x=\frac{15\frac{+}{}17}8}[/tex] when [tex]\frac{+}{}[/tex] is minus.
Subtract 15 by 17:
[tex]15-17=-2[/tex][tex]x=\frac{-2}{8}[/tex]Reduce the fraction to lowest terms by extracting and canceling out 2:
[tex]-2[/tex] ÷ [tex]-2=-1[/tex] [tex]8[/tex] ÷ [tex]-2=-4[/tex][tex]x=-\frac{1}{4}[/tex]11.) Factor the expression:Factor the original expression using [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2})[/tex]. Substitute 4 for [tex]x_{1}[/tex] and [tex]-\frac{1}{4}[/tex] for [tex]x_{2}[/tex]:
[tex]4x^2-15x-4=4(x-4)(x-(-\frac{1}{4}))[/tex]Simplify all the expressions of the form [tex]p-(-q)[/tex] to [tex]p+q[/tex]:
[tex]4x^2-15x-4=4(x-4)(x+\frac{1}{4})[/tex]Add [tex]\frac{1}{4}[/tex] to x by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible:
[tex]4x^2-15x-4=4(x-4)\bold{x}(\frac{4x+1}{4})[/tex]Cancel out 4, the greatest common factor in 4 and 4:
[tex]4x^2-15x-4=(x-4)(4x+1)[/tex]______________________________
what is the domain
what is the range
what is the increasing and the decreasing
Answer:
678
Step-by-step explanation:
hope this HELPED
Stacey had 3 cakes for her party, She had 1/8 of a cake left after the party. How much cake was eaten at her party?
Answer: 3=24/8 24/8 - 1/8 = 23/8 or 2 7/8
Step-by-step explanation:
Exchange 3 into 24/8 which is still 3 but in 8th’s. Then subtract 1/8 from 24/8 which is 23/8 or 2 7/8
Answer:
23/8 or 2 7/8
Step-by-step explanation:
3 cakes means there is 8/8 in each cake.
So
8/8 + 8/8 + 8/8 = 24/8
Then Stacey is saying that she had 1/8 of 1 cake left, so if we subract 1/8 from 24/8 we will have our answer to be 23/8 or 2 7/8
If it took 8 hours to clean houses how many houses could be cleaned in 13 hours?
Answer:
About 2 and a half houses
does someone know these answers??? PLEASE HELPPP ASAPPP
Answer:
it's false
Step-by-step explanation:
Hope this helps you.
Which section of the function is constant? (4 points)
A
B
C
D
plz help meeeeeeeeeeeeeeeeeeee!!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i got it right on the quiz lol
What is the y intercept of the equation y= 3x- 12
Answer:
-12
Step-by-step explanation:
The equation for most graphs is y = mx + b
b is the y intercept, or the point where the graph crosses the y line.
Hope this helps, and feel free to comment if you need further explanation!
Answer:
4
Step-by-step explanation:
Last year a pair of sneakers cost $145. This year, when the new style came out, the price increased 15%. What is the new price?
Answer:
145.15
Step-by-step explanation:
this is the answer I got i dont know if this is an option or if its how you do it
Please help me I’m gonna be sad if you don’t
Answer:
C
Step-by-step explanation:
The first line goes to the right so it is an negative. The second line is also going to the right so it is also a negative. Two negatives make a positive!
Alejandra wants to buy some hot dogs at the store. Each hot dog costs $0.75. If she has $15 to spend, how many hot dogs can she buy?
Answer:___hot dogs
Answer:
20 hot dog
Step-by-step explanation:
Divided by 15 by .75
I need help please it’s an easy question that I forgot
not completely sure but i think b
Answer:
c
Step-by-step explanation:
add 2 to both sides then multiply 8 to both sides
what's the value of x?
Step-by-step explanation:
180-77=103
11x+11=103
-11 on both sides
11x=92
divide by 11 on both sides
77-11=66180
x=13
180-77-90=13 plug that in and you get it
11(13)+11=154
-90
im not sure if im correct but i hope this helps
hiking at a constant rate, Fred covers 5 miles in 1 hour. predict how far fred can hike in 10 hours.
Answer:
I would say 50
Step-by-step explanation: 5 miles per hour, 5x10=50
Answer:
50
Step-by-step explanation:
For every hour, Fred hikes 5 hours.
If he hikes 10 hours, you would multiply 5 by 10 to find out how dar Fred hiked.
5×10=50
The temperature in a town was 0 °F at 7 a.m. Over the next 312 hours, the temperature rose at a steady rate to 20.3 °F.
What was the temperature at 8 a.m.?
Enter your answer as a decimal in the box.
°F.
Answer:
5.8
Step-by-step explanation:
First, convert 312 to a decimal:
12=1÷2=0.5
312=3.5
Divide.
20.3÷3.5=5.8
The temperature changed by 5.8 °F every hour. That means the temperature rose from 0 °F to 5.8 °F between 7 a.m. and 8 a.m.
Answer:-3.6
Step-by-step explanation:
The length of segment EF is 8 units, the length of segment ED is 10 units, and the length of segment EA is 13.33 units. Find the length of FA Explain or show your reasoning,
Answer:
5.33 unit
Step-by-step explanation:
logically FA = EA - EF = 13.33-8 = 5.33 units
Since, E, F and A all lie on the same line EA . The information ED= units is redundant. Therefore we can say that FA= 5.33 unit
The length of FA is 5.33 units
The given parameters are:
[tex]\mathbf{EF = 8}[/tex]
[tex]\mathbf{ED = 10}[/tex]
[tex]\mathbf{EA = 13.33}[/tex]
EF and EA implies that point E is between line FA
So, the length of FA is calculated using:
[tex]\mathbf{FA = EA - EF}[/tex]
Substitute known values
[tex]\mathbf{FA = 13.33 - 8}[/tex]
Subtract
[tex]\mathbf{FA = 5.33}[/tex]
Hence, the length of FA is 5.33 units
Read more about lengths at:
https://brainly.com/question/18983323
What is the rate of change of the line that passes through the points (-3,-4) and (5,10)?
Answer:
m=7/4
Step-by-step explanation:
20 points if you answer
Answer:
The second stove had a higher temperature when the stoves were turned off.
The first stove cooled down at a faster rate.
Step-by-step explanation:
first stove: T(t) = 180 - 2.55t can also be written as T(t) = -2.55t + 180
(180 is the y-intercept; -2.55 is the slope)
second stove = T(t) = mt + 200
(0,200) (40,130)
[tex]\frac{200 - 130}{0 - 40}[/tex] = [tex]\frac{60}{-40}[/tex] = [tex]\frac{3}{-2}[/tex] = -1.5
T(t) = -1.5t + 200
Answer:
he is correct
Step-by-step explanation:
Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Answer:
The book is 270 pages long.
For each equation, find y when x=-3. Then find x when y = 2
a. y = 6x + 8
b. y= 3x
C. y=-x+5
d. y=2x-2
e. y = 1.5x + 11
Step-by-step explanation:
a)y=-10 x=-1
b)y=-9 x=2/3
c) y=8 x=3
d)y=-8 x=2
e)y=15.5 x=-6
hope this helps bro
The correct values are;
a) y = - 10, x = - 1
b) y = - 9, x = 2/3
c) y = 2, x = 3
d) y = - 8, x = 2
e) y = 6.5 , x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are some expressions.
Now,
Find all the values after substitute the values as;
a. y = 6x + 8
When x = - 3;
y = 6 × - 3 + 8
y = - 18 + 8
y = - 10
When y = 2,
y = 6x + 8
2 = 6x + 8
2 - 8 = 6x
- 6 = 6x
x = - 1
b. y = 3x
When x = - 3;
y = 3 × - 3
y = - 9
When y = 2,
y = 3x
2 = 3x
x = 2/3
c. y = - x + 5
When x = - 3;
y = - 3 + 5
y = 2
When y = 2,
y = - x + 5
2 = - x + 5
x = 5 - 2
x = 3
d. y = 2x - 2
When x = - 3;
y = 2 × - 3 - 2
y = - 6 - 2
y = - 8
When y = 2,
y = 2x - 2
2 = 2x - 2
2x = 2 + 2
2x = 4
x = 2
e. y = 1.5x + 11
When x = - 3;
y = 1.5 × - 3 + 11
y = - 4.5 + 11
y = 6.5
When y = 2,
y = 1.5x + 11
2 = 1.5x + 11
1.5x = 2 - 11
1.5x = - 9
x = 6
Thus, The correct values are;
a) y = - 10, x = - 1
b) y = - 9, x = 2/3
c) y = 2, x = 3
d) y = - 8, x = 2
e) y = 6.5 , x = 6
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Can someone plz help me on this and Happy Holidays!
Answer:
The solution is 20. and simplified it is
2 x 10^7/10^6
Step-by-step explanation:
Please HELP ASAP!!!!!!!
Answer:
Step-by-step explanation:
58
In Amy’s garden, the ratio of herbs to vegetable plants is 5:2. If there are 40 herb plants, how many vegetable plants are in Amy’s garden? Answer without units.
Answer: 16
Step-by-step explanation: 40/5 is 8 and 2 times 8 is 16. 5:2=40:16
