To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
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a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
51 divided by 3 is k.
Solve for k.
k
=
Answer:
k=17
Step-by-step explanation:
k=51/3
Answer: k=17
Step-by-step explanation: 51 divided by 3=17, so k has to be 17
Find two integers whose sum is -9 and product is -10
the cost of a ticket will be no more than $26
Answer:
what is the question exactly??
can you please elaborate...
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
Pls consider marking my answer as Brainliest! It would mean a lot!
22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwithout any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]
The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
help!! im not good at simplifying.
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided. Use a forward slash (i.e. "/") to enter in fractions (e.g. -1/2 is the same as −12).
(2)(−5/6)=
Answer:
5/3 or 1 2/3 there you go
7x - 3x + 2 = 8x - 6
Answer:
x=2
Step-by-step explanation:
15x minus 8 is less than 32
Answer:
If you want this in an equation, it would be [tex]15x <32[/tex]
If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]
Step-by-step explanation:
Hope this helps:)
Help me pleaseeeeeeeeeeeee
Answer:
b
Step-by-step explanation:
Answer: B
Explanation there is nothing for me to explain
slope line in simplest form
Answer:
y=-2/3x
I think that's the simplest form
(10 Points) Question In Picture:
Answer:
10. you're welcome, good Luckk!
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
If the measure of angle ACB is 65 degrees, find the measure of angle BCD
Answer:
the answer is 25
Step-by-step explanation:
you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer: The answer would be 25
Step-by-step explanation:
Hope this helps!
A cannery processed 785 pounds of strawberries in 5.5 hours. The cannery processed 1550 pounds in 10 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 8 hours?
The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
A cannery processed 785 pounds of strawberries in 5.5 hours.
and, The cannery processed 1550 pounds in 10 hours.
let S be weight of strawberries and T be the Time.
So,
slope = (1550 - 785) / (10 - 5.5)
= 170
Using slope- intercept form
y = mx + b
1550 = 170 (10) + b
b= -150
Then, y = 170 x - 150
and the equation is s = 170 t - 150
At t= 8 hour
s= 170x 8 - 150
s = 1210 pound.
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Giving this if someone can help me with this problem. After Becca's half-marathon, her pedometer showed 23,580 steps, while Alex recorded 2.42 x 10⁴ steps after the same race. What is the combined amount of the steps?
Answer: 47,780 steps
Step-by-step explanation: For Alex's steps, we'll need to move the decimal four places to the right, and once you do that you should get 24,200. Add 24,200 and 23,580 together and you should get 47,780 steps.
9% of 828 I will give Brainliest to the first to answer right
Answer:
74.52
Step-by-step explanation:
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. The equation 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.
Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is
[tex]29.95 + 0.79d = 91.57[/tex]
To find:
Whether the statement are true or false.
Solution:
We have,
[tex]29.95 + 0.79d = 91.57[/tex]
Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
What is the measure of 1?
Answer:
93
Step-by-step explanation:
Solve: 3(g − 2) = 8
Answer:
g=4⅔
Step-by-step explanation:
3(g - 2)=8
3g -6 = 8
3g= 8+6
3g= 14
[tex] \frac{3g}{3} = \frac{14}{3} [/tex]
g=4⅔
hope this helps
Step-by-step explanation:
3(g - 2) = 8
3(g - 2) = 8
+ 2 +2
3g = 8
3÷3= 0 8÷3 = 4.6
so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY
Answer:
(-0,1)
Really sorry if it's wrong! Have a good day!!
Determine the x- and y-intercepts of the graph of y =
graph of Y = 1x – 2
Answer:
x is 8 and y is -2
Step-by-step explanation:
HELP GIVING OUT BRAINLIEST WHOEVER'S FIRST!!!!
Answer:
30
Step-by-step explanation:
2x^3+3y-4
2(2)^3+3(6)-4
2(8)+18-4
16+18-4
30
2(8)+3(6)-4
16+18-4
30
1. Find the Least Common Multiple of these two monomials:
See picture
Answer:
The last choice is correct
[tex]LCM=120a^4b^7c^5[/tex]
Step-by-step explanation:
Least Common Multiple (LCM)
To find the LCM we can follow this procedure:
List the prime factors of each monomial.
Multiply each factor the greatest number of times it occurs in either factor.
We have two monomials:
[tex]12a^4b^2c^5[/tex]
[tex]40a^3b^7c^1[/tex]
The prime factors of the first monomial are:
[tex]2^2,3,a^4,b^2,c^5[/tex]
The prime factors of the second monomial are:
[tex]2^3,5,a^3b^7c^1[/tex]
LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]
These are all the factors the greatest number of times they occur.
Operating:
[tex]LCM=8*15*a^4*b^7*c^5[/tex]
[tex]\boxed{LCM=120a^4b^7c^5}[/tex]
The last choice is correct
Two-Step Equations 2/5x−3=−17
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
Solve for g. C = d/g
Answer:
I believe that g=dc
Step-by-step explanation:
You swap positions with g and c along with their sign of operation.
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
Find a equation of the line for which (5,10) is a point on the line
Answer:
you go to the right 5 and go up 10
Step-by-step explanation: