Answer:
Step 3 contains error.
Step-by-step explanation:
The given equation is :
[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]
Step 1.
Cross multiplying,
[tex](\dfrac{1}{3}k+9)=24[/tex]
Step 2.
Subtract 9 from both sides
[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]
Step 3.
Cross multiplying
[tex]k=15\times 3\\\\k=45[/tex]
So, there is an error in step 3. The correct answer should be 45.
mrs. Kenny teaches a ceramics class. She finds that she has 7/8 of a pound clay project. The project requires 1/6 of a pound. how many projects can Mrs. Kenny complete without running out of clay?
Answer:
5 1/4
Step-by-step explanation:
Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:
= (7/8) ÷ (1/6)
To divide fractions, we need to invert the second fraction and multiply:
= (7/8) × (6/1)
Simplifying the fractions, we get:
(7 × 6)/(8 × 1) = 42/8 = 5 1/4
Thus,
Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ3
the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners
Answer:
35 different groups of 3 runners can be selected
Step-by-step explanation:
Here, we want to simply calculate the number of 3 runners that can advance in a race from a total of 7
What we want to do here is to simply get different groups of 3
So, we have it that we simply want to know the number of different ways we can select 3 from a total of 7
We can simply use combination for this;
We have the general combinatorial as;
nCr = n!/(n-r)!r!
With respect to this particular question, n = 7 and r = 3
So we have;
7C3 = 7!(7-3)!3! = 7!/(4)!3! = 35
worth 14 points please help I need a expert
Write an equation to represent the angle?
What is the value of x?
Answer:
x=13
Step-by-step explanation:
we can guess that the three angles are a linear pair and equal 180
in this case we can start writing a equation
x+105+62=180
now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.
x+167=180
now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer
180-167=13
so... x=13
Classify the triangle as acute, right, or obtuse.
48°
72°
60°
A acute
Bright
C obtuse
A local fast-food restaurant can serve
150 people in an hour. At this rate, bow
long would it take to serve 600 people?
(1) 1 hr
(2) 2 hr
(3) 3 hr
(4) 4hr
Answer:
4 hours, 150 x 4 = 600 pls give brainliest
Can pls someone help me with my home work pls
(27.26604445073)
Step-by-step explanation:
This answer it's simple
A triangle has sides with lengths of 100 inches, 56 inches, and 80 inches. Is it a right triangle?
Answer:
No.
Step-by-step explanation:
If these sides come out true in the Pythagorean Theorem, then it is a right triangle.
a² + b² = c²
56² + 80² = 100²
3136 + 6400 = 10000
9536 ≠ 10000
Since these values do not come out true in the Pythagorean Theorem, it is not a right triangle.
Answer:
Possibly, A right triangle has a really long side that is "c" in the picture. If the 100 length is c then the 80 one could be "b" while the 56 is "a"
I know it doesnt make much sense but I hope it helps
I see people looking at mine because its simple but you should look at the other guys awnser. He has information and details that explain their awnser. I didn't really do much to get the awnser. Look at theirs Please.
Please help FASTTTT!!!!!!
Answer:
Step-by-step explanation:
if its only 1 base i chose to do the 8x20 (bh)
so 160 km squared
Answer:
going with the side that's facing towards you 8 × 20 = 160
Step-by-step explanation:
A triangle has congruent angles. Two of the angles measure 68° and 56°. How many degrees are in the third angle?
A. 68
B. 18
C. 56
D. not enough information
Answer:
C. 56
Step-by-step explanation:
So if the total amount of degrees in a triangle is 180
(degrees = 180(n-2), d = 180(3-2), d = 180), then 180 = 68 + 56 + x
solve the equation for x
180 = 68 + 56 + x
180 - 68 - 56 = x
x = 56
“What kind of exponent does this graph have “ will give brainliest!
Answer:
Can i put down no clue lol
But the answer should be EVEN
Step-by-step explanation:
Answer:
even
Step-by-step explanation: lol i was about to pick no clue
For every 1000 hits a channel gets it makes £2 from ad revenue.
How many hits are required to make £25? Please help ASAP will mark brainliest.
Answer:
12500
Step-by-step explanation:
$2 are received for 1000 hits
So, $1 received for 1000/2 = 500 hits
Number of hits required to make $25
= 25*500
=12500
PLZ HURRY
Name 3 statistics a box and whisker plot does not tell you about the data
HELP WHICH ARE CORRECT ??
Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?
Given,
Side = 7 cm
We know that,
Volume of a cube = side³
So, volume of Harry's cube
= (7 cm)³
= 343 cm³
Hi, here's a quick explanation;
if the given length is 7, and your object is a cube,
you'd cube 7,
which is = 7³
aka: 7 × 7 × 7
therefore,
the answer is 343.Hope this helps you out!! :D
Can you please help me THANK YOU
Answer:
For thursday the mean is 9.5
Step-by-step explanation:
Add up all the numbers together and you will get 57, count the amount of numbers which are 6.. Divide 57 by 6 and get 9.5
1/2h - 12 = -5 How can you isolate the term 1/2h
(?) (?) on both sides...
Thank you for responding and looking have a nice day ;)
Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in
Answer:
90 in²
Step-by-step explanation:
The diagram isn't attached :
However, taking the base of the parallelogram, b as 15 in
The height as 6 in
And the Slant height as 8 in
The Area of a parallelogram is given as :
Area, A = Base, b multiplied by height, h
A = b * h
Hence, Area of the above parallelogram is:
A = 15 in * 6 in
A = 90 in²
helpppppppppppppppppppppppp
Answer:
[tex]3 < x \leqslant 4[/tex]
Answer:
D)
Step-by-step explanation:
Find the area. Simplify your answer.
Answer:
10x + 9
Step-by-step explanation:
What is the average rate of change for this function for the interval x=2 to x=4?
Answer:
12
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 2, 4 ]
f(b) = f)4) = 32 ← from table
f(a) = f(2) = 8 ← from table
Then average rate of change is
[tex]\frac{32-8}{4-2}[/tex] = [tex]\frac{24}{2}[/tex] = 12
3954*54534-64563/5435
Hey There!
[tex]3954 \times 54534 - (64563 \div 5435) \\ = 215627436 - 11.88 \\ = 215627424.120[/tex]
Hope it helps
HELPP MEEE PLease it's do today at 11:30
Nick ran a race in 14.56 seconds. Casey ran the race in 14.58 seconds. At which place value are nick's and Casey's race times different
Answer:
The hundredths place is where its at
Answer:
Hundredths place.
Step-by-step explanation:
Hi so their race times are the same up to that fourth number.
In a number with a decimal anything after the dot goes: tenths, hundredths, thousandths and so on.
In both number we just go two more places so it would be hundredths.
Hope this helps! Have a great day/night <3
classify the polynomial 11x^2-10x+7
1/5, 0.25, 20.5%, 4/25, 0.22
Answer 22%
Step-by-step explanation:
Answer:
so I guess I have to put those numbers in a order.
smallest to largest:
4/25, 1/5, 20.5%, 0.22, 0.25
largest to smallest:
0.25, 0.22, 20.5%, 1/5, 4/25
Step-by-step explanation:
1/5 = 0.2
20.5% = 0.205
4/25 = 0.16
Have a nice day!
???Anyone knows answer??
Answer:
30feet
Step-by-step explanation:
I don't know the requirement to get full mark but can work through the equation but:
The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,
let x be the height of the tree
6/4=x/20
6/4*20=x
x=30 feet
3. On Wednesday, a sudden snowfall delayed school busses and caused
12 of Ms. Jackson's 25 students to arrive late to class. What percent of
students made it on time? *
HELP PLEASE and show work
Answer:
[tex] \boxed{\stackrel{\Large\frown}{PQS}\:= 222°} [/tex]
Explanation:
Since [tex] \overline{PR} [/tex] is a diameter, arc [tex] \stackrel{\Large\frown}{PQR}\:= 180°. [/tex]
Given that [tex] \angle{SUR} = 42°[/tex] is a subtended central angle by two diameters,
[tex] \stackrel{\large\frown}{RS} \:= 42° [/tex].
Using the rule of arcs, [tex] \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} [/tex] →
[tex] 180° + \: 42° = \: \stackrel{\Large\frown}{PQS} [/tex]
[tex] 222° = \: \stackrel{\Large\frown}{PQS} [/tex]
[tex] \stackrel{\Large\frown}{PQS} \: = \: 222° [/tex]
25 x10^6 in standard form
Answer:
25x10^6 in standard form is 2.5×10^7
Step-by-step explanation:
Hope this helped!
1/2x + 3/5 as the product of a constant and sum of terms
Answer:
Step-by-step explanation:
Do you mean that you want to create a distributive statement with 1/2 on the outside and a sum of 2 terms on the inside of a set of brackets? That's pretty wordy, but I mean something like
1/2 (x + a)
1/2*a = 3/5 Multiply both sides by 2.
a = 2 * 3/5
a = 6/5
Answer
1/2 ( x + 6/5)