The solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
How to solve for in the equation?The equation is given as
g = 4a +4/5
Multiply through the equation by 5
So, we have
5 * (g = 4a +4/5)
Evaluate the products
So, we have
5g = 20a + 4
Subtract 4 from both sides of the equation
So, we have
20a = 5g - 4
Divide through the equation by 20
So, we have
a = 1/20(5g - 4)
Hence, the solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
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A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation.
The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.
How to compute the value?From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= (3.6 × 10⁴ + 4.1 × 10⁴)/2
= 7.7 × 10⁴/2
= 3.85 × 10⁴
Therefore, the average is 3.85 × 10⁴
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please help this is my last attempt
Answer:
see explanation
Step-by-step explanation:
525 divided by 1500 may be expressed in the following ways
525 ÷ 1500
[tex]\frac{525}{1500}[/tex]
1500 | |525
Answer:
See attached image
Step-by-step explanation:
I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.
-12 - ([tex]\frac{2}{3} \[/tex]=
Answer:
[tex]-\frac{38}{3}[/tex]
Step-by-step explanation:
[tex]-12-\frac{2}{3}\\-12 = \frac{-36}{3} = \left(-36\right) \div 3\\\frac{-36}{3}-\frac{2}{3}\\=\frac{-36-2}{3}\\=\frac{-38}{3}[/tex]
Hope this helps!
Solve 5kx + 6 = 7 kx for x.
a match box has length x cm, width x +1 cm and height 3 cm. express its surface area as a function of x
Answer:
2x² + 14x + 6
Step-by-step explanation:
A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid
A=2(wl+hl+hw)
where l = length, w=width and h = height
Substituting l = x, w = x+1 and height = 3 we get
wl = x(x + 1) = x² + x
hl = 3x
hw = 3(x + 1) = 3x + 3
So A = 2( x² + x + 3x + 3x + 3)
A = 2(x² + 7x + 3)
A = 2x² + 14x + 6
Which is an example of the associative property?
–5 + 7 = 7 + (–5)
–(18 + 3) = –18 + (–3)
(–8 + 10) + 4 = –8 + (10 + 4)
–17 + 0 = –17
–5 + 7 = 7 + (–5) is an example of the associative property. Option A
This is further explained below.
What is associative property?Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.
In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).
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Use synthetic division to divide.
(6x³ +3x + 9) \ (x + 2)
Answer:
Step-by-step explanation:
Help me pleaseeeee!!!!!!!
Answer:
domain ( - ∞, ∞ )
Step-by-step explanation:
there is no endpoint at either end of the line and it continues forever in both directions, then
domain is ( - ∞, ∞ )
Answer:
(-infinity, +infinity)
Step-by-step explanation:
(-infinity,+infinity) because at quadrant III, the line is extending forever into negative infinity, and in quadrant IV, the line is extending forever into positive infinity
What is 75 Of 625 percent
Answer:
75 * (625 percent) = 468.75
Step-by-step explanation:
.
Which of the following shows a graph of the equation above?
Can you provide more information?
how to write and solve; two times the quantity of 7x plus 5 equals -32?
Answer: x = -3
Step-by-step explanation:
First, we will write an equation.
two times ➜ 2 *
7x plus 5 ➜ 7x + 5
equals -32 ➜ -32
2(7x+5) = -32
Next, we will solve by isolating the x variable.
2(7x+5) = -32
14x + 10 = -32
14x = -42
x = -3
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.
What is a polygon?A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonHow to determine the perimeter of this regular polygon?Since this polygon is a regular polygon with each of its sides being equal, we have:
3(x - 1) = 5x - 6
3x - 3 = 5x - 6
5x - 3x = 6 - 3
2x = 3
x = 3/2
x = 1.5.
The measure of each of its sides is given by:
3x - 3 = 5x - 6
3(1.5) - 3 = 5(1.5) - 6
4.5 - 3 = 7.5 - 6
1.5 = 1.5
Each side, a = 1.5 units.
Now, we can determine the perimeter of this regular polygon:
Perimeter of pentagon = 5a
Perimeter of pentagon = 5 × 1.5
Perimeter of pentagon = 7.5 units.
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An artist is selling children's crafts necklaces cost 2.25 each, and brackets cost 1.50 per each select all the combinations of necklaces and braclets that the artist could sell for exactly 12.00
Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets
Step-by-step explanation:
Bob's Gift Shop sold 300 cards for Mother's Day. One salesman, Kaj, sold 4% of the
cards sold for Mother's Day. How many cards did Kaj sell?
Divide/scale down to solve for the missing percent.
cards
4
percent
300
100
Answer:12
Step-by-step explanation: 300 times 0.04 (4%) is 12
I need help. Please
which pair of numbers have a greatest common factor of 3? select each correct answer. 3 and 9 3 and 9 18 and 15 18 and 15 15 and 20 15 and 20 6 and 9
The pair of numbers that have the greatest common factor of 3 are:
6 and 9
18 and 15
3 and 9
What is greatest common factor?The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.
The factors of 6 and 9 are:
6 ⇒ 1, 2, 3 and 6
9 ⇒ 1, 3, 9
The greatest common factor here is therefore 3.
The factors of 18 and 15 are:
18 ⇒ 1, 2, 3, 6, 9 and 18
15 ⇒ 1, 3, 5, and 15
Greatest common factor is also 3
The factors of 3 and 9 are:
3 ⇒ 1 and 3
9 ⇒ 1, 3, 9
Greatest common factor here is also 3.
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HELP PLS FAST ITS EZZ ALEBRA
And the correct graph is the one in option b.
What is the correct graph of the function?
We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.
Then the linear function:
c(f) = 24*f
Relates the number of cookies that we can make using f cups of flour.
Then the possible domain of this function (the possible values of f) is given by:
0 ≤ f ≤ 8
The maximum number of cookies that can be made is:
24*8 = 192
And the range is:
0 ≤ c ≤ 192
With that in mind, we can see that the correct graph is the one in option b.
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what is the 15th term of the general term
n(n+1)
______
2
Answer:
a₁₅ = 240
Step-by-step explanation:
to find the 15 th term substitute n = 15 into the general term
a₁₅ = 15(15 + 1) = 15(16) = 15 × 16 = 240
what is the equation of the line that passes through the points (-8,1) and (7,1)
Answer:
y = 1
Step-by-step explanation:
the equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
the line passes through (- 8, 1 ) and (7, 1 )
both with y- coordinates of 1 , then
y = 1 ← is the equation of the line
Write the expression as a number in scientific notation.
quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
4.2 x 1010
3.4 x 1010
4.2 x 105
3.4 x 105
The expression as a number in scientific notation is 4.2 * 10^5
How to write the expression as a number in scientific notation?The expression is given as:
quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
Rewrite properly as:
[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]
Evaluate the product of 7 and 5.4
So, we have:
[37.8* 10^3 * 10^4]/[9 * 10^2]
Evaluate the product of 10^3 and 10^4
So, we have:
[37.8* 10^7]/[9 * 10^2]
Evaluate the quotient of 37.8 and 9
So, we have:
[4.2 * 10^7]/[10^2]
Evaluate the quotient of 10^7 and 10^2
So, we have:
4.2 * 10^5
Hence, the expression as a number in scientific notation is 4.2 * 10^5
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HELPPPPP ASAPPPP PLS
Answer:
-1/6
Step-by-step explanation:
Emmett made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Emmett make?
The number of bottles will be 24 bottles.
How to calculate the value?It should be noted that 1 pound = 16 ounces.
Since he bought 1 pound of each color, the total pounds will be:
= 1 × 9 = 9 pounds.
The number of sand art will be:
= 9 pounds / 6 ounce
= (9 × 16) / 6
= 24 bottles
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A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda. Based on the results ,how many of the 275 customers can be expected to prefer soda?
198 of the 275 customers can be expected to prefer soda
A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda.
Based on the results , we have to find how many of the 275 customers can be expected to prefer soda?
total customers x = 275
customers chose soda y= 36
customers chose tea z= 14
therefore out of 275 customer who prefer soda = (x * y)/(y+z)
Based on the given conditions, formulate: [tex]: \frac{275 * 36}{14+36} \\\\[/tex]
Calculate the product or quotient:[tex]\frac{9900}{14+36}[/tex]
Calculate the sum or difference:[tex]\frac{9900}{50}[/tex]
Cross out the common factor: [tex]198[/tex]
Hence ,198 of the 275 customers can be expected to prefer soda
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Mia is making smoothies. Each smoothie uses 1/2 cup of yogurt. How much yogurt
does she need to make 7 smoothies?
To solve, we'll need to _______
because we know the SIZE of the groups and the _______
but we don't know the ______
Answer: 3.5 cups
To solve, we'll need to multiply because we know the SIZE of the groups and the amount of groups but we don't know the total amount.
if you are riding on a ferris wheel that is 60 feet tall and it takes you 5 minutes
Answer:
0.62 feet per second
Step-by-step explanation:
Homework Task 3: Item C
< Back to task
Bookwork code: K90
Calculator
not allowed
Give your answer as an integer or as a fraction in its simplest form.
o
-6-5
-3-2
~ 34
6
5-
4-
27
-4
W
2345
Watch video
6
120 XP
x
Carley
Answer
Answer:
Step-by-step explanation:
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Evaluate the expression when x = 5:
10|7−x|
A. -120
B. -20
C. 20
D. 120
Answer:
C. 20
Step-by-step explanation:
10|7−x| here we are asked to find the absolute value.
x is given as 5 so if we just rewrite the expression:
10|7-5| = 20 because absolute value cannot be negative.
Sandra's bicycle is old and rusty. Her parents won't buy her a new one unless she does more chores around the house. Sandra's dad said he will buy a new bicycle if Sandra mows the lawn, rakes the leaves, and washes the windows every weekend for 16 weeks in a row. Sandra is very motivated and does her chores for 3 weeks straight.
Which equation can Sandra use to find how many more weeks w she needs to do her chores before her parents will buy her a new bicycle?
Answer:W=16-3
Step-by-step explanation:
W is how many more weeks she has to work
she needs to work a total of 16 weeks and she has worked for 3 so far to find the total number of weeks she still needs to work she would take 16-3=13 13=W
What two numbers are missing from this factor tree for the prime factorization of 252
Answer:
the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.
The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
Definitions
Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.
Prime Factorization: Prime numbers that multiply together to make the original number.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, ...
To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:
⇒ 252 ÷ 2 = 126
As 126 is not a prime number, we need to divide again.
⇒ 126 ÷ 2 = 63
As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:
⇒ 63 ÷ 3 = 21
As 63 is not a prime number, divide again.
⇒ 21 ÷ 3 = 7
As 7 is a prime number, we can stop.
Therefore, 252 is the product of:
⇒ 252 = 2 × 2 × 3 × 3 × 7
As 2 and 3 appear twice, we can write these using exponents:
⇒ 252 = 2² × 3² × 7
I WILL GIVE BRAINLIEST SND 59 POINTS PLS ANSWER ALL OF THE QUESTIONS At a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but each was $1.75 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences