Answer:
Yes, the bill is absolutely accurate
Step-by-step explanation:
Cost of materials= $ 678.12
Final bill amount(given)=$1206.12
Rate= $32 per hour for 16.5 hrs
Total amount for 32 hrs = time * rate = 16.5* 32=$528
Therefore, by the problem ,
Cost of materials+ Total amount for 32 hrs = Final bill amount
= 678.12+ 528
=1206.12
Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount
The sum of 2 consecutive whole numbers is 206. What are the 2 numbers
Answer:
102.5, 103.5
Step-by-step explanation:
a+a+1=206
2a+1=206
2a=205
a=102.5
103.5
I think there is a bug here. They can't be whole numbers.
Answer:
There are no two consecutive whole numbers that sum to 206 (See proof below)
Step-by-step explanation:
let the first number be x
since the numbers are whole and consecutive, the second number must be (x + 1)
we are given that the number sum to 206
hence,
x + (x+1) = 206
x + x + 1 = 206
2x + 1 = 206 (subtract 1 from both sides)
2x = 206 - 1
2x = 205 (divide both sides by 2)
x = 205/2 = 102.5 (NOT A WHOLE NUMBER)
if x = 102.5, then the second number must be
x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)
please show your work :)
-2x + 4 = 12
Answer:
[tex]\large\boxed{x = -4}[/tex]
Step-by-step explanation:
-2x + 4 = 12
Subtract 4 from both sides of the equation
-2x = 8
Divide both sides of the equation by 2
-x = 4
Transfer the minus (multiply both sides by -1)
[tex]\large\boxed{x = -4}[/tex]
Hope this helps :)
Answer:
x = -4
Step-by-step explanation:
-2x + 4 = 12
-2x = 8
x = -4
Set up an equation for the following scenario: A wedding reception needs 3 chairs for every 4 people.
How many chairs, y, would be needed for x people?
Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter.
Answer:
Orion reports a higher density than Guang.
Step-by-step explanation:
Khan said it was right.
Answer: Orion or number 2
Step-by-step explanation:
khan is always correct
72.4 as a fraction PLEASEEEE
Answer:181/250
Step-by-step explanation:
A coat originally cost $130. Now it is on sale for 60% of its original cost. What is the sale
price of the coat?
OA) $78
B) $70
OC) $52
OD) $40
Answer:
Step-by-step explanation:
b-78
whar is the LCM of 1/6 and 3/8
==========================================
There are 3 methods to find the lowest common multiple (LCM)
---------------------------
Method 1
List out the multiples of 6 and 8
multiples of 6 = {6, 12, 18, 24, 30, 36, 42, 48, ...}
multiples of 8 = {8, 16, 24, 32, 40, 48, ...}
We see that 24 is the smallest number in both sets at the same time. So this is the LCM.
---------------------------
Method 2
Write the prime factorization of 6 and 8
prime factorization of 6 = 2*3
prime factorization of 8 = 2*2*2
The unique prime factors here are 2 and 3. We have 2 show up at most three times meaning that 2*2*2 = 8 is a factor of the LCM. The number 3 is also a factor meaning that 8*3 = 24 is the LCM.
---------------------------
Method 3
Multiply the denominators 6 and 8 to get 6*8 = 48
48 is a common multiple, but its not the smallest
we can divide 48 over the GCF 2 to get 48/2 = 24, which is the actual LCM.
So when you have 2 different denominators, you can multiply their values and then divide by the GCF to get the LCM.
If x+3y=7 and x-3y=1 what's y
Subtract one equation from the other to eliminate x :
(x + 3y) - (x - 3y) = 7 - 1
6y = 6
y = 1
what is 7500×5643 ÷3
Answer:
14107500Step-by-step explanation:
[tex]7500 \times 5643 \\ = \frac{42322500}{3} \\ = 14107500[/tex]
Answer:
[tex]\Large \boxed{14107500}[/tex]
Step-by-step explanation:
There are different ways to do this;
1. ⇒ (7500×5643)÷3
⇒ 42322500÷3
⇒ = 14107500
2. ⇒ 7500*5643/3
⇒ 42322500/3
⇒ =14107500
^ Two ways you could have solved the Q.
Answer; 14107500
You purchase a $1,500 television. You have to pay 6% sales tax. How much will the tax be on your new television?
Answer:
90 dollars. The total will be $1,590.00.
Step-by-step explanation:
6% of 1500 is 90
We start by converting 6% to a fraction :
6% = 3/50
Then we have
6% of 1500 = 3/50 x 1500 = 3/50 x 1500/1 = 4500/50
Notice that 1500 was rewritten as the fraction 1500/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.
In order to find the simplest form of the fraction 4500/50 we cancel out the greatest common divisor of 4500 and 50, which is 50 :
4500/50=90/1
So the final answer is
6% of 1500=90
What is the slope of the line that passes through the points (-7, - 7) and (-7,1)?
Write your answer in simplest form.
Answer:
Undefined
Step-by-step explanation:
Slope of the line
[tex] = \frac{1 - ( - 7)}{ - 7 - ( - 7)} = \frac{1 + 7}{ - 7 + 7} = \frac{8}{0} = \infty \\ = undefined [/tex]
Find an equation in standard form of the line containing the point (-3, -2) and having slope 14.
Hint: You are given a point and a slope, so start with point-slope form. Then, convert the point-
slope form to standard form by moving all the x and y terms to the left side of the equation.
Answer:
y - 14(x) = 40 (Hopefully)
Step-by-step explanation:
-2 = 14(-3) +40
y = 14(x) + 40
y - 14(x) = 40
Rita is 8 years older than Fati. If Fati is 15 years now, how old was Rita 3 years ago
Answer:
Rita is 20 years old
Step-by-step explanation:
If you add 8 years to Fati's age, (15+8), you get 23. That is Rita's age right now. Now subtract 3 from 23. You get 20. So Rita is 20 years old.
Pls help, I cannot do this and it is due 8-28-20
Answer:
20. J, 21. B
Step-by-step explanation:
20. P = 15 (2) + 8 (2)
P = 36 ft.
21. 15 - 6 = 9 ft.
Answer:
[tex]\Large \boxed{\mathrm{20. \ 46 \ feet}} \\ \\ \\ \Large \boxed{\mathrm{21. \ 9 \ feet}}[/tex]
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides.
[tex]\Rightarrow 15+8+15+8[/tex]
[tex]\Rightarrow 46[/tex]
The distance between the window and the foot of the bed is:
length of the room - length of the bed
[tex]\Rightarrow 15 - 6[/tex]
[tex]\Rightarrow 9[/tex]
What is the formula for the following geometric sequence?
3, 12, 48, 192, ...
Answer:
Step-by-step explanation:
a n = a 1 r n − 1
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to
draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the
basket, keep that, and then draw a third piece of fruit from the same basket. What
is the probability of selecting one banana, then one apple, then one orange, in
that order, from the basket if you are blindfolded?
Hi
draw 1 : 4/12 = 1/3
draw2 : 3/11
draw 3 : 5/10 = 1/2
so probability to have : 1 banana then 1 apple then 1 orange is : 1/3*3/11*1/2 = 3/66 = 3*1 / 2*3*11 = 1/22
Answer:
1/22
Step-by-step explanation:
Work out the probability of selecting each fruit then times them together so
there are 12 fruits in total and 4 bananas so the chance of selecting a banana is 4/12 simplified 1/3
then as you dont put the banana back there is only 11 fruits left in the basket and 3 are apples so the chance of selecting an apple is 3/11
then as you dont put the apple back there is only 10 fruit left in the basket and 5 are oranges so the chance of selecting an orange is 5/10 simplified 1/2
then we multiply them all together 1/3 x 3/11 x 1/2 3/66 to get which simplifies to 1/22
a) A number became 95 when reduced by 5%. What is the number?
Answer:
100
Step-by-step explanation:
5% of 100 is 95 so it becomes 95 when it is reduced by 5%
Answer:
0.9
Step-by-step explanation:
the answer is 95-5/100
=0.9 so the answer is 0.9
I hope this was helpful
it's from Khan Academy and there are answer choices it's called interpet negative number addition and subtraction expression
Answer: Hi!
Answers B and D are correct.
For B, since negative numbers are on the left side of the number line, a positive number would have to be to the right of a negative number. Since we are adding a negative and a positive number of the same absolute value (9), they would cancel out to 0, which makes D true.
Hope this helps!
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answers: D, B.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Explanation for D: -9 + 9 = 0.
Explanation for B: Negative numbers are on the LEFT side of the number line.
And positive numbers are on the right.
Therefore, 9 is to the RIGHT of -9 on the numberline.
8(-b+4)=
idk what the answer is please help
Answer:
-8b+36 is the answer.
Step-by-step explanation:
=8(-b+4)
Opening brackets to simplify
=8✖️(-b)+8✖️4
=-8b+36 is the answer.
Hope this will help you :)
When planning the new town hall, the architect planned for 50 offices. only 5 will be on the 1st floor. what percentages of offices will be on floors above the first floor?
A)5%
B)90%
C)50%
D)10%
Answer:
5 upon 50
5/50 X 100%
1/10 X 100%
10 %
is your answer
plz brainlist me please
In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game?
Answer:
its 26. Just take my word for it
Step-by-step explanation:
14-12=2
26-14=12
40-26=14
You see the pattern. Alexi will score 26 pts. btw, this goes against the laws of probability, but whatever.
If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?
Answer:
The length r can be found using the Law of sines.
Length r = 14.8
Step-by-step explanation:
The length r can be found using the Law of sines.
The formula for the Law of Sines states that:
a/Sin A = b/ Sin B
In the above question,
∠P = 27°
∠R = 135°
p = 9.5
r = ????
The formula =
p/Sin P = r/Sin R
9.5/Sin 27° = r/Sin 135°
Cross Multiply
r × Sin 27° = 9.5 × Sin 135°
r = 9.5 × Sin 135°/Sin 27°
r = 14.7966
Approximately Length r = 14.8
1. Find (-9) +7 –(-3)
(-9)+7-(-3)
-9+7+3
-9+10
1
Answer:
1
Step-by-step explanation:
(-9) +7 is -2 because the brackets here don't change anything
so we have -2 - (-3) two negatives make a positive so - (-3) is basically +3 leaving -2+3 so the answer is 1
Hope this helps!
Which of the following is an example of the associative property of multiplication?
7 · (3 · 5) = (7 · 3) · 5
7 · (3 + 5) = 21 + 35
7 · (3 · 5) = 7 · (5 · 3)
7 · 1/7 = 1
Answer:
Option A
Step-by-step explanation:
7 * (3 * 5) = (7*3) * 5
Associative Property:
When three or more numbers are multiplied, the product is always same regardless of the regrouping
Answer:
a is correct cause foot
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change of 100m). Which of the following expressions will calculate the angle between the path and horizontal?
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = [tex]\frac{2}{100}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{2}{100})[/tex]
Option (A) will be the answer.
-3/4 x (-10/9)
A. 27/40
B. 5/6
C. -27/40
D. -5/6
Answer: B
Step-by-step explanation:
1. Multiplying two negatives equals a positive.
2. Reduce the numbers with the GCF, 3.
3. Reduce the numbers with the greatest common factor, 2.
4. Multiply the fractions which would give you: 5/6
Answer:
B. 5/6
Step-by-step explanation:
1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30
2.Then multiply 4 by 9 = 36.
3.u will get 30/36, divide both the numerator and denominator by 6.
4. it will give you 5/6 as an answer.
What type of graph would you use to compare the number of books at each price? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Answer:
I would use a bar graph so the bottom of the graph could be the number of books, and the left could be the price. the higher the bar is, the higher the price. It is easy to compare heights of the bars from just looking at the graph.
Answer:
Does anyone know if this is correct please help
Step-by-step explanation:
What is the range in mathss
Answer:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Step-by-step explanation:
I hope it help you
Answer:
Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range
Step-by-step explanation:
hose fills a hot tub at a rate of 4.09 gallons per minute. How many hours will it take to fill a 250-gallon hot tub?
Answer:
Step-by-step explanation:
250 gals divided by 4.09
answer:61.12
Use the distributive property to solve 2(3x+4p-8)
Answer:
6x + 8p - 16
Step-by-step explanation:
Given
2(3x + 4p - 8) ← multiply each term in the parenthesis by 2
= 6x + 8p - 16
Answer:
Step-by-step explanation:
2(3x + 4p - 8)= 2*3x + 2* 4p + 2*(-8)
= 6x + 8p - 16