Answer: C
Step-by-step explanation:
a(b+c) = ab + ac
Let a = 3, b = 28, c = 19
So, 3(28+19) = 3(28) +3(19)
The solution to which inequality is graphed below?
Answer:
b > -3, so 6b > -18 is the correct answer.
PLEASE HELP 2 QUESTONS ALL MY POINTS RIGHT ANSWER GETS BRAINLY PLEASE HELP I NEED ANSWERS NOW
Answer:
set 1 is 40
Step-by-step explanation:
During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. What percentage of the dishes he delivered were:
A. desserts?
B. appetizers?
C. entrees?
Answer:
deserts are 32.5%
appetizers are 42.5%
deserts are 25%
Step-by-step explanation:
let me know if i helped
If 51x + 23y = 116 and 23x + 51y = 106, then find the value of (x – y).
Step-by-step explanation:
51x + 23y = 116 ……….. (i)
23x + 51y = 106 ………… (ii)
Subtracting (ii) from (i)
28x – 28y = 10
28(x – y) = 10
⇒ (x – y) = 10/28 = 5/14
The solution of the expression x- y is 5/14.
Given Equation:
Equation 1: 51x + 23y = 116
Equation 2: 23x + 51y = 106
Now, multiply 23 in equation 1 and 51 in equation 2 gives
Equation 3: 1173x + 529y = 2,668
Equation 4: 1173x + 2601 y = 5406
Solving the Equation 1 and (3) gives
2601y - 529y = 5406 - 2668
2072y= 2738
y = 37/28.
Substituting the value of y= 37/28 in Equation 1 gives
51x + 23(37/28)= 116
51 x= 2397/28
x= 47/28
So, the value of x-y
= 47/28 - 37/28
= 10/28
= 5/14
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Explain the process to solving for all possible integer values of a and b with the equation log3 (a) + log3 (b) = 4, without solving it!
Answer:
write factor pairs of 3^4
Step-by-step explanation:
Take the anti-log, then identify integer factor pairs of the number on the right side of the equal sign. One of the factors in each pair is the value of "a", the other is the value of "b".
_____
The solution you didn't want to see
Take the antilog:
ab = 3^4
Find factor pairs of 3^4:
3^4 = 1×81 = 3×27 = 9×9 = 27×3 = 81×1
Possible solutions are ...
(a, b) ∈ {(1, 81), (3, 27), (9, 9), (27, 3), (81, 1)}
The Simple interest on $160
for 6 month's at 5% per
annum
Answer:4$
Step-by-step explanation:
5.7% interest on $375 18 month loan
0.9=10^(-e)×0.001
find the value of e .
Answer:
blah blah blah blah blah blah blah blah blah
the mean of the prime factors of 24 is
Answer:
bad words
Step-by-step explanation:
it is your shet
Answer:
2.25
Step-by-step explanation:
Prime Factors of 24 is 2 x 2 x 2 x 3
2 + 2 + 2 + 3 = 9
9/4 = 2.25
Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to
her brother, then how much cake will remain with her?
Answer: \(\dfrac{3}{6}\)
Step-by-step explanation:
Given
Sharmila has \(\frac{5}{6}\) portion of cake
she gave \(\frac{2}{6}\) portion to her brother
The remaining cake is given by
\(\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}\)
i.e. \(\frac{3}{6}\) portion of cake will remain with her
How many multiples of 9 are between 100,000 and 100,185?
Answer:
20
Step-by-step explanation:
After 99,999 is 100,008 So start from there
100,008 1
100,017 2
Ten 9's later...
100,107 12
Eight 9's later...
100.179
Ther are 20
Find the slope of the line
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The slope of the line is (Type an integer or a simplified fraction)
OB. The slope of the line is undefined
Answer:
The slope of the line is zero because there is no change in y or x
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
The Game shop is having a sale and all games are reduced by 55%. if a game is now R69.99, what was the original prize? Round your answer to the nearset cent.
Answer:
R155,53
Step-by-step explanation:
55/100x + 69.99 = x
55x + 6999 = 100x
45x = 6999
x = R155,53
HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a
Answer:
a can be anything. There are infinite solutions.
Step-by-step explanation:
\(4(a+2)=8+4a\)
Expand:
\(4a+4\times\:2=8+4a\)
\(4a+8=8+4a\)
Subtract 8 from both sides:
\(4a+8-8=8+4a-8\)
\(4a=4a\)
Subtract 4a from both sides:
\(4a-4a=4a-4a\)
\(0=0\)
Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of \(0=0\) which is true.
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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jamie has 7 candles each a different color, how many ways can she arrange them in a candelebra that hold 3 canles
The area of a circular wave expands across a still pond such that its radius increases by 8cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins:
A=
Answer:
A(t) = π(8t)²
Step-by-step explanation:
Radius of a circular wave increases by 8 cm each second.
Every second radius of circular wave so the sequence of increase in radius will be,
8, 16, 24, 32.........(8t)
Here 't' = time
Since, area of a circle = πr²
Therefore, area of the circular wave after 't' seconds since the wave begins,
A(t) = π(8t)²
5/12x6/15=30/180
How do I simplify?
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
The pH level, P, of a liquid can be determined from the hydronium ion (H3O+) concentration, c, using the equation P = –log(c). If the pH level of grape juice is 3.3, what is the hydronium ion concentration
The equation \(P = -\log(c)\) is an illustration of logarithms. The hydronium ion concentration is approximately \(0.0005012\)
Given that:
\(P = -\log(c)\)
When the pH level is 3.3; it means that:
\(P = 3.3\)
So, we have:
\(3.3 = -\log(c)\)
Divide both sides by -1
\(-3.3 = \log(c)\)
Take antilog of both sides
\(10^{-3.3} = c\)
So, we have:
\(c = 10^{-3.3}\)
\(c = 0.00050118723\)
Approximate
\(c = 0.0005012\)
Hence, the hydronium ion concentration is approximately \(0.0005012\)
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Answer:
The correct answer would be 5.01 x 10^-4
Explanation:
Not only did I take the test and get it right, BUT, P = -log(c) aka 3.3 = -log(c), c is equal to 0.00050118, and the expanded form of 5.01 x 10^-4 is 0.000501...
(08.03|08.04 HC)
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
The total area from the graph is 2.737.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
First of all, lets calculate the points of intersection (P, Q, R)
x²+3=(x+2) +5
x²-2=√(x+2)
x⁴+4-4x²=x+2
x⁴-4x²-x+2=0
(x-2)(x³+2x²-1)=0
(x-2)(x+1)(x²+x-1)=0
x=2, -1, -1±√(1+4)/2
Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2
So the limit of integration will be
P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))
Q(-1, (-1)²+3)=Q(-1, 4)
Area A:
\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)
= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)
= 2.07
Area B:
\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)
= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)
= 0.667
Total area = 2.07+0.667
= 2.737
Therefore, the total area from the graph is 2.737.
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In triangle abc what is the value of cos b A 5/13 B 12/13 C 5/12 D 13/12
Answer:
\(\boxed{Option \ B}\)
Step-by-step explanation:
In the triangle,
Hypotenuse = 13
Opposite = Perpendicular = 5
Adjacent = Base = 12
Now,
Cos B = \(\frac{Adjacent}{Hypotenuse}\)
Cos B = 12/13
If the triangle is just like in the attached file!
Answer:
B) 12/13
Step-by-step explanation:
Which expression is equivalent to (2x^4y)^3?
Answer:
8x^{12}yx^{3}
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15
Step-by-step explanation:
Eight less than four times a number is less than 56 . The expression can be written below
let
the number = a
4a - 8 < 56
add 8 to both sides
4a - 8 + 8 < 56 + 8
4a < 64
divide both sides by 4
a < 64/4
a < 16
The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15
8x - 3 = 5 (2x + 1) solve for x
Answer:
x=−4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Given:
8x - 3 = 5 (2x + 1)Solving for x:
8x - 3 = 10x + 510x - 8x = -3 - 52x = - 8x = -8/2x = -4The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
Write the equation of a line in the slope-intercept form that has a slope of 4 and contains the point (4, 12).
Answer:
y=4x-4
Step-by-step explanation:
Hi there!
we are given that a line has a slope of 4 and it contains the point (4, 12)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope, we can immediately substitute it into the formula.
Replace m with 4 in y=mx+b:
y=4x+b
Now we need to find b
As the equation passes through the point (4, 12), we can use it to help solve for b
Substitute 4 as x and 12 as y:
12 = 4(4) + b
Multiply
12 = 16 + b
Subtract 16 from both sides
-4 = b
Substitute -4 as b
y = 4x - 4
Hope this helps!
Topic: Finding the equation of the line
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If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first
Answer:
Step-by-step explanation:
First divide 6 from the left size so it gets cancelled.
Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6
Which becomes (t + 12) = 19
Now, (t + 12) - 12 = 19
Therefore, t = 19 - 12
Answer: t = 7
(whatever you do to one side, most be done to the other side too).
To check,
6(t+12)=114
6(7+12)=114
Solve brackets first, 6(19)=114
114=114
The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
As per the given data:
To apply distributive property in 6 (t + 12) = 114
Distributive property: A (B + C) = A × B + A × C
Now for, 6 (t + 12) = 114
First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:
6 × t + 6 × 12 = 114
6t + 72 = 114
6t = 114 - 72
6t = 42
t = (42/6) = 7
Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
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