Step-by-step explanation:
We need to convert 1.5 × 10⁸ from scientific notation to standard form.
The scientific notation is 1.5 × 10⁸
Out of the given options, we need to choose the correct one.
10⁸ means 100000000
⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]
or
[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]
One of the zero from denominator and numerator will cancel down.
[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]
So, the correct option is b.
You drive 351.6 miles using 16.4 gallons of gasoline. At this rate, how many gallons of gasoline would you need to drive 1000 miles? Round your answer to the tenth place (one place after the decimal).
Answer:
46.6 gallons
Step-by-step explanation:
351.6 miles = 16.4 gallons
1000 miles = x gallons
simply cross multiply
351.6 × x = 1000× 16.4 gallons
351.6x = 16400 gallons
x = 16400÷ 351.6
x= 46.643913538
x = 46.6 gallons (rounded to the tenth place)
A vendor sells fifteen sweatshirts for $15 each, thirty t-shirts for $10 each, and forty hats for $8 each. What is the average price of an item sold that day?
I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.
f(x) = √x. and g(x)=8√x Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.
Answer:
vertical stretch
Step-by-step explanation:
the 8 is outside the sq. root function, meaning it causes a vert. stretch
Simply a3 • a4
And (2a) (5ab)
Answer:
a^3 (a^4) = a^7
(2a)(5ab) = 10a^2b
Step-by-step explanation:
which statement is correct
I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one
6x + 4x - 9 = 1 what does x equal
Answer:
x = 1.
Step-by-step explanation:
6 x 1 = 6.
4 x 1=4.
4+6= 10.
10 - 9 = 1.
What is the equation of the line passing through the points (4,8) and (-1,-12)
Answer:
y=4x-8 hope this helps:)
Step-by-step explanation:
Hey there!!
You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).
Here, the points are, (4,8) and (-1,-12).
Using two point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Keep all values,
[tex](y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)[/tex]
Now, simplify them.
[tex](y - 8) = 5(x - 4)[/tex]
y - 8 = 5x -20
5x -y -20+8 = 0
Therefore, 5x - y -12 = 0 is the required equation.
Hope it helps...
Help Me Pls Umm.... Yeah
Answer:
I think B, AC = 5
Step-by-step explanation:
You can see that the shape, DEF and ABC, both hav a number at the bottom. So We know that there is a scale factor of 2, because 6÷3 is 2. So, if we wanna know what AC is we can divide 10, from DEF, by two, we get 5. So, AC is equal to 5. :)
6+2= need help asap plzz
Answer:
8
Step-by-step explanation:
Answer:
6 + 2 = 8
Step-by-step explanation:
you could use a calculator or your fingers!
find the slope of the line going through the points (-5,-7) and (0,13)
Answer:
slope= 4
Step-by-step explanation:
rise=20 run= 5 divide =4
Jenna flipped a coin 375 times. It landed tails up 300 times. What is the experimental probability of a flip resulting in tails up? Pls show work I give brainliest
Answer:
375-300=75
Step-by-step explanation:
do y'all think high school is hard
Answer: hahaha. yes.
Question is in the picture help I’m desperate
Answer:
the measure of <BAC = 60° and
46) option D is not true
Question 45
The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem
2x+3x = 150
5x = 150
x = 150/5
x = 30
angle BAC = 2x = 2*30 = 60 degrees
Answer: 60 degrees===================================================
Question 46
Choice A is true because of what I mentioned in the previous problem.
Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.
Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.
Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).
Answer: Choice Da submarie is 671 feet below
Answer:
Uh I don't really know where the question was in that sentance, but if your trying to convert it to meters the answer is 204.521 meters.
Step-by-step explanation:
i need help because i do need help
Answer:
Step-by-step explanation:
the perimeter to ABCD is 13
the perimeter to WXYZ is 32.5
the scale factor enlargement is 2.5
on the number line shown above what number represents the point half the distance between points A and B
What is the distance between (9,-4) and (-22, 8)?
Answer:
≈ 33.2 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)
d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]
= [tex]\sqrt{(-31)^2+12^2}[/tex]
= [tex]\sqrt{961+144}[/tex]
= [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )
HELPPPOO ASAP please!
Answer:
y = -1
Explanation:
Because the line is horizontal (intersecting the y-axis), you can ensure that the equation will be y = (a number). You can find which part of the y-axis it intersects by looking at the graph, and it intersects -1.
Is 4.565656.... Rational or Irrational
Answer:
Rational
Step-by-step explanation:
4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.
4.5656565656... = [tex]4\frac{56}{99}[/tex]
Hope this helps.
What is the value of t, if the value of x is 4?
T - 6 = x - 6
Answer: T=4
Step-by-step explanation:
Answer:
T=4
Step-by-step explanation:
When you plug in x, or 6, you get that x-6= -2.
Keeping that in mind, you then have to think what minus 6 equals negative 2, and 4-6= 4
So I need to pull an all nighter and reset my sleep schedule. But the problem is I'm too stupid to solve some math, so I need your help.
I woke up this morning at 10:00 A.M.
Right now it is 12 A.M.
How long has it been?
And then what is that minus 36 hours?
Please help, I don't have that many points right now, but I will mark you Brainliest!
Answer:
14 hours, -22 hours
Step-by-step explanation:
10:00 AM to 12:00 PM = 2 hours
12:00 PM to 12:00 AM = 12 hours
12 hours + 2 hours = 14 hours
14 hours - 36 hours = -22 hours
Brian’s backyard is in the shape of a square. If the yard is 21 feet long, how much land does Brian’s backyard cover?
Pleaseee helppp
515x + 285y=11,080. X+Y=30
Answer:
work is shown and pictured
Answer:
x = 11, y = 19.
Step-by-step explanation:
515x + 285y=11,080
x + y = 30
Divide first equation by 5:
103x +57y = 2216
Now multiply the second equation by -57:
-57x - 57y = -1710
Adding the last 2 equations:
46x = 506
x = 506/46 = 11
Substituting for x in x + y = 30:
11 + y = 30
y = 19.
Jenna traveled to Mexico. Before returning home, she converted all her pesos back into dollars. How much did she receive if she exchanged 1047.5 pesos at a rate of 5 dollars = 115.21 pesos?
Answer:
Dollars= $45.46
Step-by-step explanation:
Giving the following information:
Pesos= 1,047.5
Exchange rate:
5 dollars= 115.21
First, we need to determine the exchange rate for 1 dollar:
1 dollar= 115.21/5
1 dollar= 23.042 pesos
Now, for 1,047.5 pesos:
Dollars= total pesos / exchange rate
Dollars= 1,047.5/23.042
Dollars= $45.46
Answer:
45.46 dollars
Step-by-step explanation:
The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Robusta beans is modeled by the equation below, where A = the pounds of Arabica and R = pounds of Robusta: (2 points) 700A + 1200R = 1,000,000 If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?
Answer:
If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.
Step-by-step explanation:
700A+1,200R=1,000,000
700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .
700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.
1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.
R=250 - This is your value for R, or the Robusta beans.
250 pounds of Robusta beans
Hope this helps!
A new Youth Sports Center is being built in Hadleyville, The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards
the width. What are the dimensions of the playing field?
The width is
yards
The length is
yards
Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
given data
length of the field = 5 yards
Perimeter of the rectangular field = 430 yards.
solution
we consider here length of the field = L
and width of the field = W
as we know length of the field 5yards less than quadruple the width
so here
L = 4W - 5 .....................................1
and
Perimeter (P) will be here
P = 2(L + W) ............................................2
put here equation 1 value
430 = 2(4W - 5 + W)
solve it we get
W = 44
so here put value in eq 1 we het
L = 4W - 5
L = 4(44) - 5
L = 171
so, length of the field is 171 yards
matthew opened a checking account with 150. On monday, he bought lunch for 9.30 and wrote a check for 25.75. He deposited 75 on wednesday, and 65.18 was deducted for his car insurance on thursday. How mch money was remaining in his account
Answer:
124.77
Step-by-step explanation:
Matthew opened a checking account with 150
On Monday he bought lunch for 9.30 and wrote a check for 25.75
He deposited 75 on Wednesday
On thursday 65.18 was deducted from the account for his car insurance
The total expenses incurred on Monday can be calculated as follows
=9.30+25.75
= 35.05
This means that 35.05 will be debited from his account
On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account
On thursday, 65.18 was removed from his account for car insurance
Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows
= 150-35.05+75-65.18
= 124.77
Hence the money remaining in Matthew's account is 124.77
Answer:
The answer is 124.77
Step-by-step explanation
PLEASE HELP ME!!!!!!!
Answer:
:))
Step-by-step explanation:
Collect like terms, keeping the integer rules in mind
5. 5a + 9b - 3a + 2b + 4a
5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)
6a + 11b
6. 7m + 3n - 8m + 2n + 10m
7m + 10m - 8m + 3n + 2n
9m + 5n
10. 10m²n + 5mn + 9m²n - 2mn
10m²n + 9m²n + 5mn - 2mn
19m²n + 3mn
Try to do the rest on your own :)
solve for x
-4(-x -1) + 2x + 3 = 43
Answer:
x=36
Step-by-step explanation:
-4(-x-1)+2x+3=43
or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)
or, 4x+2x+4+3=43( arranging the like terms)
or, 6x+7=43( adding both numbers)
or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)
or, 6x=36(substracting the numbers)
or, x=36/6(when there is multiply in one side there will be divide)
or, x=6
Hope it is helpful for you
Please help I have a test tomorrow
Answer:
The answer is 24
Step-by-step explanation: