Answer:
b = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
8b - 12 = 5b
Step 2: Solve for b
Subtract 5b on both sides: 3b - 12 = 0Add 12 on both sides: 3b = 12Divide 3 on both sides: b = 4Step 3: Check
Plug in b to verify it's a solution.
Substitute: 8(4) - 12 = 5(4)Multiply: 32 - 12 = 20Subtract: 20 = 20And we have our final answer!
Convert the following equation to standard form: y= - 3/4x + 2
Answer:
3x + 4y = 8
Step-by-step explanation:
Slope intercept form: Standard form:
y = mx + b Ax + By = C
y = -3/4x + 2 y = -3/4x + 2 add 3/4x to both sides
3/4x + y = 2 multiply by 4
3x + 4y = 8
PLEASE HELP FAST
Which model represents the product Three-fourths times one-third ?
Answer:
the last one yw :)
Step-by-step explanation:
Write the decimal expansion for 4/9
Answer:
0.44444444
Step-by-step explanation:
Answer:
the decimal expansion of 4/9 = 0
Step-by-step explanation:
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP!!!!!)
Solve seven times three and one fifth.
A) twenty two and one fifths
B) twenty two and two fifths
C) twenty two and three fifths
D) twenty two and four fifths
Answer:
B
Step-by-step explanation:
3 1/5 x 7/1
(3 x 5) + 1 = 16/5
16/5 x 7/1 = 112/5.
112 ÷ 5 = 22 2/5
so its B.
Answer:
22 2/5, twenty two and two fifths, B.
Step-by-step explanation:
7 * 3 1/5
To make it simpler, convert 3 1/5 into a mixed number.
3 1/5 = 15/5 + 1/5 = 16/5
Now, it's 7 * 16/5
Next, to prevent confusion, convert 7 to a mixed fraction as well.
7 = 7/1 (also known as a rational number.)
now it's 7/1 * 16/5
Simply multiply 7 * 16 and 1 * 5, which results in
112/5
The answer is a mixed number, and you want to simplify it as much as possible,
112/5 is 5 going into 112 with it's highest factor.
5*22 is 110, which is the highest factor that can go into 112.
now 22 can be the whole number, and the remaining numbers in the part over whole fraction stays put. Basically, you subtract the numerator of the mixed number with the highest factor that the denominator can fit into the numerator. (112-110 = 2)
So, the answer is 22 2/5, B. (cannot be further simplified.)
Jeff walks 3 1/2 miles in 3/4 hour. in 1 1/4 hours, Loralee walks 6 3/4 miles. who walks faster. Jeff
3 1/2 ÷ 3/4 =7/2÷___ Loralee. 6 3/4 ÷ 1 1/4= 27/4
Answer:
wait so it wants to know who walked faster?
Step-by-step explanation:
Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water can the aquarium hold?
Answer:
[tex]Volume = 2000\ in^3[/tex]
Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.
[tex]Volume = Length * Width * Height[/tex]
Substitute values for the dimensions
[tex]Volume = 10 * 20 * 10[/tex]
[tex]Volume = 2000\ in^3[/tex]
Hence, the volume of the aquarium is 2000 cubic inches
A civic group is selling bumper stickers as a fundraiser. During the first week, they sold 500 bumper stickers. During the second week, they sold 50% more bumper stickers than the first week. During the third week, they sold 50% fewer bumper stickers than the second week.
Explain how you can use proportions to find the percent decrease from the first weeks' sales to the third weeks' sales. Your explanation must include the math you did to determine this. If you do not include the math and it make sense you will not get credit for this question.
Answer:
The third week they sold $375 in bumper stickers
Step-by-step explanation:
Proportions and Percentages
During the first week, the civic group sold 500 bumper stickers as a fundraiser.
During the second week. they sold 50% more bumper stickers than the first week. First, we calculate the increment of 50% of 500:
50% 500 = 50 * 500 / 100 = 250
Thus the second week they sold:
500 + 250 = 750 bumper stickers
Now we know the third week they sold 50% fewer than the second week.
Again, we calculate the 50%, but this time on the basis of 750, and not 500 bumper stickers:
50% 750 = 50 * 750 / 100 = 375
Thus the third week they sold:
$750 - $375 = $375
The third week they sold $375 in bumper stickers
Answer:
Step-by-step explanation:
hehehehdhdnenwne
simply 3pq+5pr-2qr+qp-6rp
Answer:
The answer is 4pq−pr−2qr
130 divided by 2.5 equals show work
Answer: 52
Step-by-step explanation: use the calculator lol
Answer:
52
Step-by-step explanation:
In tryouts for the olympics a speed skater had times of 44,64,43,45,42,79 and 4,228 seconds find the average time add numbers
Answer:
[tex]Average = 43.29[/tex]
Step-by-step explanation:
Given
Time: 44.64,43.45,42.79 and 42.28
Required
Determine the average time
Average or mean is calculated as thus;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where
[tex]\sum x[/tex] = sum of observation
n = number of observation = 4
[tex]Average = \frac{44.64 + 43.45 + 42.79 + 42.28}{4}[/tex]
[tex]Average = \frac{173.16}{4}[/tex]
[tex]Average = 43.29[/tex]
Hence, the average time is 43.29
A blueprint of a house has a scale of 1 in ; 6ft. The living room has a dimension of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room.
Answer:
3 in by 4 in
Step-by-step explanation:
The blueprint scale is 1 in : 6 ft
This means
1 in : 72 in
1 : 72
For the living room
18 ft by 24 ft can be written as : 18/6 by 24/6
3 in by 4 in -------- units in inches where 1 in : 6 ft
Answer:
The answer is 18 x 24
Step-by-step explanation:
What is the solution to 8x-3(2x-4)= 3(x-6
)
Answer:
x = 30
Step-by-step explanation:
8x - 3(2x - 4) = 3(x - 6)
Distribute te -3 on the left, and the 3 on the right
8x - 3(2x - 4) = 3(x - 6)
8x - 6x + 12 = 3x - 18
Simplify
8x - 6x + 12 = 3x - 18
2x + 12 = 3x - 18
Inverse operations
2x + 12 = 3x - 18
-2x -2x
12 = x - 18
+18 +18
30 = x
Find the vector that has the same direction as 3, 2, −6 but has length 2.
Answer:
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
Step-by-step explanation:
We can determine the equivalent vector ([tex]\vec r[/tex]), dimensionless, by means of the following formula:
[tex]\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\|[/tex] (1)
Where:
[tex]\vec u[/tex] - Original vector, dimensionless.
[tex]\|\vec u\|[/tex] - Norm of the original vector, dimensionless.
[tex]\|\vec r\|[/tex] - Norm of the new vector, dimensionless.
The norm of the original vector is determined by the following definition:
[tex]\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u}[/tex] (2)
If we know that [tex]\vec u = (3, 2, -6)[/tex], then the norm of the original vector is:
[tex]\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}[/tex]
[tex]\|\vec u\| = 7[/tex]
If we know that [tex]\|\vec r\| = 2[/tex], then the new vector is:
[tex]\vec r = \frac{2}{7}\cdot (3,2,-6)[/tex]
[tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex]
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
true or false: when you dilate a figure, the coordinates are multiplied by the scale factor
Answer:
True
Step-by-step explanation:
If 3x−y=12, what is the value of
8x/2y?
A) 212
B) 44
C) 82
Answer:
[tex]\frac{8^x}{2^y} 2y=2x^{12}[/tex]
Step-by-step explanation:
Since the numerator and denominator have a common base, this expression can be rewritten as 2(3x−y).
substitute 12 for the exponent, 3x−y and you will get A
Answer:
The answer is A [tex]2^{12}[/tex]
Step-by-step explanation:
Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of
[tex]\frac{8x}{2y}[/tex]
gives you
[tex]\frac{8x}{2y} 2y=2x^{12}[/tex]
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A , B , and C be subsets of S , where: Set A = { 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20 } Set B = { 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 } Set C = { 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 } Find the number of elements in the set ( A ∪ B ∪ C ) n ( A ∪ B ∪ C ) = Find the number of elements in the set ( A ∩ B ∩ C ) n ( A ∩ B ∩ C ) =
Answer:
A B C=(6,10,11)2.A B C =(1,3,4,5,7,8,9,12,13,14......20)
The answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]
Before giving the solution let discuss what is the universal set, Union, and intersection:
A universal set (typically represented by U) is a collection that has items from all the sets, with no elements being repeated.It specifies in general as a set of all items to be considered.It describes all the elements or objects, including the elements, of other collections.The union of two sets is a collection with all A or B components (possibly both).The intersection denotes the resulting set between such two sets, which contains all the common items.Following are the solution to the question:
Given:
Universal set [tex]\bold{ S = \{ 1 , 2 , 3 , ... , 18 , 19 , 20 \} }[/tex]
Let
[tex]\bold{A, B, C \subset S}[/tex] i.e.
[tex]\bold{A\subset S}\\\\\bold{B\subset S}\\\\\bold{C\subset S}\\\\[/tex]
Set [tex]\bold{A = \{ 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20\}}[/tex]
Set [tex]\bold{B = \{ 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 \}}[/tex]
Set [tex]\bold{C = \{ 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 \}}[/tex]
Find:
[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) =?}\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=?}[/tex]
Solution:
In [tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}:[/tex]
Calculating:
[tex]\bold{(A \cup B\cup C) }= \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]
In this question, the "[tex](A \cup B\cup C)[/tex]" value is equal to "[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" that is 18 elements.
When we intersecting both sets that is[tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}[/tex] so, its value will be the same that is:
"[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" .
In [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex]
Calculating:
[tex]\bold{(A \cap B\cap C) }= \bold{\{6, 10, 11, \} }[/tex]
In this question, the "[tex]\bold{(A \cap B\cap C) }[/tex]" value is equal to "[tex]\bold{\{6, 10, 11 \} }[/tex]" that is 3 elements.
When we intersecting both sets that are [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex] so, its value will be the same that is:
"[tex]\bold{\{6, 10, 11 \} }[/tex]".
So, the final answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]Learn more:
brainly.com/question/24156307
The current of Cache Creek has speed 2 mph. It takes a small boat a total of 4 hours to travel 12 miles upstream and 12 miles back. Find the speed of the boat in still water. If your answer is not an integer, round it off to two decimal places.
Answer:
6.61 mph
Step-by-step explanation:
Speed of current; c = 2 mph
Total time to travel upstream and back; t = t1 + t2 = 4 hours
Let x represent speed of the boat in still water
Then the actual speed of the boat when going upstream is x - 2, and the actual speed when going downstream downstream is x + 2.
We know that; distance = speed x time, Thus;
For the upstream trip;
12 = (x - 2)t1
t1 = 12/(x - 2)
For the downstream trip;
12 = (x + 2)t2
t2 = 12/(x +2)
Adding both equations, we have;
t1 + t2 = (12/(x - 2)) + (12/(x +2))
4 = (12/(x - 2)) + (12/(x +2))
Multiply through by (x - 2)(x + 2)
4(x - 2)(x + 2) = 12(x + 2) + 12(x - 2)
4x²- 16 = 12x + 24 + 12x - 24
4x² - 16 = 24x
4x² - 24x - 16 = 0
Using quadratic formula, we have;
x ≈ 6.61 mph
Hi please help me the pic is up there
Answer:
4p^3 (4p + 1)
Step-by-step explanation:
All we can do with this equation is factor it.
16p^4 + 4p^3
When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.
4p^3 (4p + 1)
An ant travels at a constant rate of 30 cm every 2 minutes.
At what pace does the ant travel per centimeter?
Answer:
0.07
Step-by-step explanation:
Find the equivalent to this fraction with the denominator 100
Answer:
No
Step-by-step explanat
In 2004, an art collector paid $ for a particular painting. The same painting sold for $ in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950.
Answer:
The value of k is 0.149.
Step-by-step explanation:
The complete question is:
In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting’s value, in dollars, t years after 1950.
Solution:
The exponential growth function can be expressed as follows:
[tex]y=a\cdot e^{kt}[/tex]
y = Final value after t years
a = initial value
It is provided that:
y = $84,275,000
a = $27,000
The value of t from 1950 to 2004 is, t = 54
Compute the value of k as follows:
[tex]y=a\cdot e^{kt}[/tex]
[tex]84,275,000=27,000\times e^{54k}\\\\e^{54k}=\frac{84275000}{27000}\\\\54k=\ln (\frac{84275}{27})\\\\k=\frac{1}{54}\times \ln (\frac{84275}{27})\\\\k=0.149[/tex]
Thus, the value of k is 0.149.
Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.
does the data represent a negative, positive, or no correlation
Answer:
Positive
Step-by-step explanation:
A quadrilateral has two angles that measure 110° and 140°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?
12 / 0.96 please answer this i need it
Answer:
12.5
Step-by-step explanation:
Write 12 and 50099 thousandths in standard form?
Answer:
Twelve fifty thousand ninety nine
Step-by-step explanation:
:))))))
What is the measure of the angle x?
Answer:
30 degrees
Step-by-step explanation:
Brainliest me
Answer:
40
AB=AOB÷2
and AB=ACB
so AB= 80÷2
AB=40
Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!
Answer:
[tex]d=\sqrt{149}\approx12.21[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the two points (-1, 7) and (-8, -3).
Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-8-(-1))^2+(-3-7)^2}[/tex]
Evaluate:
[tex]d=\sqrt{(-8+1)^2+(-10)^2}[/tex]
Evaluate:
[tex]d=\sqrt{(-7)^2+(-10)^2}[/tex]
Square:
[tex]d=\sqrt{49+100}[/tex]
Add:
[tex]d=\sqrt{149}\approx12.21[/tex]
This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.
The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current price of the jeans?
Answer:
5.25
Step-by-step explanation:
15% × 35 =
(15 ÷ 100) × 35 =
(15 × 35) ÷ 100 =
525 ÷ 100 =
5.25
Mia, Jan, and Eva are sisters. Their combined ages are 44. Mia is 4 years older than Jan. Eva is 5 years younger than Jan. Which system of equations could be used to find Mia’s age?
Let x = Mia’s age, y=Jan’s age, and z=Eva’s age