Solution :
Given that the expression is :
[tex]$10^3 \times 0.006$[/tex]
This can be written as,
[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]
[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]
[tex]$\Rightarrow 10^0 \times 6$[/tex]
a). Therefore the exponent in the power of 10
= 0
b). Factors of 10 in [tex]$10^3$[/tex]
= 10 x 10 x 10
= 1000
= [tex]$10^3$[/tex]
So there are 3 factors of 10 in [tex]$10^3$[/tex]
c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.
But in part a), we are finding exponent in the power of 10 in the expression which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.
d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.
what does 58x9234=????
Answer:
535572
Step-by-step explanation:
Np just for a friend
Find the answer when you substitute the letters with k = 14 and d = 5 in the equation. -5d - 7k.
Answer:
-123
Step-by-step explanation:
Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).
-5*5=-25.
-7*14=-98.
-25-98=-123.
You can use this method to solve other problems in the future hope you find this helpful. : )
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
Answer:
5.1
Step-by-step explanation:
find the slope of the line that passes through (10,6) and (2,11).
Answer:
m=−5/8
Step-by-step explanation:
there are four children in Jana's family. She is less than 11 years old and is the oldest. there's a two-years age difference to twins, riya and seta, who come next. yuvi who is older than 5 is 2 years younger than the twins. how old are each of the children?
Answer:
Jana=10, twins=8, yuvi=6
Step-by-step explanation:
it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10
Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail
Write and equation with x as the number of hours it will take to reach the end.
How many hours will it take for Shelly to reach the end of the hiking trail?
Answer:
8+3x=20
4 hours
Step-by-step explanation:
8+3x=20
3x=12
x=4
Simplify
2x( x^3-3x^2+5x-8)
Answer: =2x^4−6x^3+10x^2−16x
Step-by-step explanation:
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
IIIII NEEEEEEED HELLLLLLP
Answer:
-6 > -x
Step-by-step explanation:
2 < -x/3
Multiply both sides by -3. Flip the sign because we are multiplying by a negative.
Solution:
-6 > -x
Is the function f(x)=
–
2
7
+
1
8x
linear or nonlinear?
Answer:
as long as the equation has no exponents or square roots it is linear
Step-by-step explanation:
Solve the given quadratic equation 2x2 + x + 1 = 0.
anyone over here who is a half Korean lol
have a great day
Answer:
2×2+x+1=0
4+x+1=0
5+x=0
x=-5
what are 3 decimals between 5.7 and 5.8
Answer:
5.75 , 5.76, 5.73
Step-by-step explanation:
Hope this helps!
Which is bigger 1 2/7 or 1 7/20?
Answer: 1/27 is greater than 1 7/20 I believe.
what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...
Answer:
C≈87.96
r Radius 14
Solve. x =
A
41°
B.
C
Plz help me fast
Answer:x= 49°
Step-by-step explanation:
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answer:
x=2
2 games.
Step-by-step explanation:
3 + 4.50x = A
6 + 3x = A
3 + 4.5(2) = 12
6 + 3(2) = 12
I need help on another question, it keeps saying 7x-7 is wrong.
Step-by-step explanation:
y = 7x + 1
Slope - Intercept Form
Amanda Sabino's taxable income is $20,900 . Use this table below to find out how much she'll pay in state tax
Answer:
is that a test huh
is that a test
Step-by-step explanation:
Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?
Answer:
a- $37.50
b- $39.75
Step-by-step explanation:
Hope this helped!
Answer:
a) 37.5
b) 39.75
Step-by-step explanation:
a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5
b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75
4x+1 = 13 what number x
would make the equation true
Answer:
3
Step-by-step explanation:
4/5 divided by 2/3 PLEASE HELP
Answer:
6/5
Step-by-step explanation:
4/5 x 3/2 = 12/10 = 6/5
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.
● The first customer paid $12 for 14 postcards and 5 large envelopes.
● The second customer paid $24.80 for 10 postcards and 15 large envelopes.
What was the cost in dollars of each large envelope?
1. $1.42
2. $1.15
3. $0.63
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal? Use the drop-down menus to show and explain your answer.
Choose...
is a better deal. Coupon 1 would result in a total cost of
Choose...
. Coupon 2 would result in a total cost of
Choose...
.
Answer:
Choose... Coupon 2
Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2
Coupon 2 would result in a total cost of $6.5
Choose Coupon 2
Step-by-step explanation:
Coupon 1: 18+(18x0.4) =
Coupon 2: 18+18=26 26x0.25=6.5
Answer:
Coupon 2
Step-by-step explanation:
4x-5y+30=0 in slope-intercept form
Answer:
y=4/5x+6
Step-by-step explanation:
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost
Answer:
Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.
On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98
Step-by-step explanation:
[tex]\frac{a}{5}[/tex] + 3=8
HElp wHat iS iT!?!?!??!
Answer:
a
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST, A THANK YOU, AND 5 STARS PLEASE ANSWER
Angelica took a math test and got 14 out of 15 problems correct. What percent of the problems did she get correct? (round to the nearest hundredth)