=>10³
5 × 10³ × 10³ = 5 × 10⁶
The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b) in the form of (ac+bc).
We have an expression:
= 5×10³
We have to make the above expression equivalent to the [tex]5\times 10^6[/tex]
Let's suppose the number is x.
Now according to the question:
[tex]\rm (5\times10^3)\times x = 5\times 10^6[/tex]
[tex]\rm x = \frac{5\times 10^6}{(5\times10^3)}[/tex] (divide by 5×10³ on both sides)
x = 10³ (after simplification)
x = 1000
Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
Learn more about the distributive property here:
brainly.com/question/5637942
Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chris ordered four small boxes and one large boxes for a total of $30. What is the price of each type of box?
Answer: The price of each small box is $4.8 and the price of each large box is $10.8.
Step-by-step explanation:
Let x = Price of each small box, y= price of each large box.
As per given,
3x+2y= 36 ...(i)
4x+y= 30 ...(ii)
Multiplying 2 to (ii), we get
8x+2y =60...(iii)
Subtract (i) from (iii), we get
5x= 24
x= 4.8
From (ii)
4(4.8)+y= 30
19.2+y=30
y= 10.8
Hence, the price of each small box is $4.8 and the price of each large box is $10.8.
Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas
Answer:
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
Step-by-step explanation:
Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:
[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]
Para sumar fracciones mixtas, en primer lugar sumas la parte entera:
2+1= 3
Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.
Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:
[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]
Entonces el resultado de la suma es:
[tex]3\frac{23}{20}[/tex]
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
24 is a common multiple so ill just use that as a denominator:
3/8 = 9/24
1/3 = 8/24
1/4 = 6/24
so then adding those up:
[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]
then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
Let x be the part of the book he read on fourth day.
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]
[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]
for a smoothie Isaac needs 3 quarts of strawberry puree which is sold in bottles of 1 pint and bottles of 1 cup he already had 1.75 quarts of puree if he wants to buy exactly three bottles in total how many of each bottle should he buy pleasee help its really important
Answer:
There are 2 bottle of 1 pint and 1 bottle of 1 cup.
Step-by-step explanation:
Okay, so first let's look at the conversion factors of these units:
1 quart=2 pints & 1 quart= 4 cups.
Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all
we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts
we need to buy 2 pints and 1 cup to give us our three quarts.
Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.
Hope this answer helps you :)
Have a great day
Mark brainliest
Rewrite [tex]f(x)=(x+7)^2-9[/tex] in standard form
Quick pls
Answer: f(x)=x^(2)+14x+40
If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder
Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
[tex]R = 15mm[/tex]
[tex]H = 45mm[/tex]
Cylinder 2
[tex]r = 10mm[/tex]
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
[tex]R : H = r : h[/tex]
This gives:
[tex]15 : 45 = 10 : h[/tex]
Express as fraction
[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]
Simplify
[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]
Cross multiply
[tex]h *1 = 3 * 10[/tex]
[tex]h = 30[/tex]
Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest
Answer:
13.80 there you go buddy
HURRY PLEASE!!!!!! Boden's account has a principal of $300 and a simple interest rate of 4.4%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 130 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandth?
Answer:
0.460
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 129 calls
μ is the population mean = 130 calls
σ is the population standard deviation = 10 calls
Hence:
Z score = x - μ/σ
=129 - 130/10
=-0.1
Probability value from Z-Table:
For x less than 129 calls = x < 129
P(x<129) = 0.46017
Approximately to the nearest thousandth = 0.460
Therefore, the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandths is 0.460
Question : find the measure of angles x and y
show your work and write a sentence staring the answer
Answer:
x = 53°, y = 42°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180° for x
x = 180° - (37 + 90)° = 180° - 127° = 53°
48° + y = 90° ( subtract 48° from both sides )
y = 42°
I need help on this please
Answer:
12√3
Step-by-step explanation:
sin 60° = 18/h
h = 18/sin 60°
h = 12√3
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
The graph on the right. y= 5, 6, 7, 8
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
help me plzz pllz help now im on a time line
Answer:
Oki, mizuki here to help!
Hi there user, looks like you need help!
Anyways, option B is the correct answer!
Step-by-step explanation:
How to find average speed: distance/time
Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!
Hope this helped!
Step-by-step explanation:
we know that
Speed = Distance/ Time
so the correct answer is B
Factor completely 2n + 13n + 15
Hey there!
“Factor completely 2n + 13n + 15”
2n + 13n + 15
COMBINE your LIKE TERMS
(2n + 13n) + (15)
2n + 13n = 15n
15 = 15
Answer: 15n + 15
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
15(n + 1)
Step-by-step explanation:
Given
2n + 13n + 15 ← collect like terms
= 15n + 15 ← factor out 15 from each term
= 15(n + 1) ← in factored form
What is the equation of the line that passes through the point (−7,4) and has a slope of 0?
Answer:
Step-by-step explanation:
equation of a line
y=mx+b
y=0*x+b
y=0+b
y-0=b
since the line passes through the point (-7,4) it satisfies the equation
4-0=b
4=b
substituting the value of b in
y-0=b
y-0=4 is the required equation.
An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas
Answer: 42
Step-by-step explanation:
Given
An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]
One case will hold [tex]38[/tex] Umbrellas
Number of cases required to hold all the Umbrellas are
[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]
Thus, 42 packs are required to hold all the Umbrellas
does anyone have flvs geometry?
Answer:
Step-by-step explanation: I don't
Answer:
yes
Step-by-step explanation:
I do
list power power set of a:{1,2}
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!
Step-by-step explanation:
what is the value of x,if x=3²
Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
Find two numbers that multiply to be -18 and add up to be -7
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10
1. What is the MEAN age of the children in your neighborhood playschool?
Answer:
Hi there, the correct answer should be...
The mean age of the children is 5.
Step-by-step explanation:
mean:average
1 + 5 + 4 + 8 + 2 + 5 + 10 = 35
35 ÷ 7 = 5
PLEASE HELP what is the area of this?
B. 5 in
5 in
14 in
3 in 1 3 in
14 in
5 in
5 in
The planet Neptune orbits the Sun. Its orbital radius is 30.1 30.130, point, 1 astronomical units ( AU ) (AU)left parenthesis, start text, A, U, end text, right parenthesis. Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of π
adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.
Answer:
60.20 pi
Step-by-step explanation:
to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance
30.1*2 = 60.20
then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi
so the answer is 60.20 pi
-Hope this helps
plz mark brainlyest, rate and thank me
7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
2−|x|=8
|8−x|=2
|2−x|=8
8−|x|=2
Answer:
|8−x|=2
Step-by-step explanation:
because you have to subtract them together to see how far apart they are
Find the surface area of the rectangular prism
2km
4km
6km
Answer:
88km is your answer
Step-by-step explanation:
brainlest pls
the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
Convert the decimal, 2.55, into an improper fraction
Answer:2.55 in fraction form is 51/20.
Step-by-step explanation: