Answer: 9/15, 16/25, 3/4 and 5/6.
Step-by-step explanation:
From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:
3/4 = 3/4 × 100 = 75%
5/6 = 5/6 × 100 = 83.3%
16/25 = 16/25 × 100 = 64%
9/15 = 9/15 × 100 = 60%
From the above percentages, arranging the fractions from the smallest will be:
9/15, 16/25, 3/4 and 5/6.
x+x/7 + 1/11 (x + x/7) = 60
Answer:
X= 48.125
Step-by-step explanation:
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.
Answer:
Option A -- 0.46
Step-by-step explanation:
The answer is the x-coordinate of the point of intersection, which is 0.46
The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.
How to solve the equation?From the information given, the equation is given as log(6x + 10) = log 1/2x
In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.
By using graphing, it can be deduced that one will draw both graph on the same coordinate place.
From the graph, y1 and y2 simply intersect at point (0.46,1.12)
Therefore, the curve intersect at approximately x=0.46.
Learn more about equations on:
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Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
help can you also show how you do it too
Answer:
m the slope of function=-3
Step-by-step explanation:
to find the slope take two points from the graph:
(0,4), (1,1)
m= y2-y1/x2-x1
m=1-4/1-0
m=-3/1=-3
the equation : y=mx+b find b
when x=0, y=b=4
y=-3x+4
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
Factored completely, the expression 2y^2 + 12y-54 is equivalent to
a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, favorite sports of respondents are identified as 100 for basketball, 200 for baseball, 300 for football and 400 for anything else. The average (mean) is calculated for 740 respondents and the result is 256.1. The data are at the______level of measurement.
Answer:
The data are at the nominal level of measurement
Step-by-step explanation:
Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.
Nominal; level is used just for counting. Its cannot be used as a measure or for quantitative analysis.
Such data cannot give the mean of the sample. And the two means cannot be compared.
In the given question it only gives the number of likes nothing more. The average cannot be calculated for such data.
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
What is the answer to 15a + 9 =
Answer:
[tex]a=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]
Answer:
Step-by-step explanation:
Use distributive property
15a + 9 = 3*5*a + 3*3
= 3 (5a + 3)
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
Which number is a perfect cube?
O9
O 18
0 27
O 36
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Answer:
27
Step-by-step explanation:
We want a number time itself times itself
27 = 3*3*3
27 = 3^3
Write 3x 1/2 in radical form
Answer:
3x^1/2 in radical form is
[tex] \sqrt{3x} [/tex]
Hope this helps you
factor: (a+3)^2-a(a+3)
Answer:
Factor (a+3)2−a(a+3)
3a+9
=3(a+3)
Answer:
3(a+3)
I hope this help :)
Answer:
(a+3)(3)
Step-by-step explanation:
(a+3)^2-a(a+3)
(a+3)(a+3)-a(a+3)
Factor (a+3)
(a+3)(a+3-a)
(a+3)(3)
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
Learn more about the triangles;
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A machine lifts up containers of coal from the mine and lowers empty containers down. The machine uses an electric motor connected to a 600 V d.c. supply.The maximum current in the motor is 4000 A. *Calculate the maximum power available from the motor. Give your answer in MW* power = voltage x current i believe
Answer:
The maximum power available to the motor is 2.4 MW
Step-by-step explanation:
The power of a circuit that has a current, I, and a voltage, V, is given by the relation
Electrical power, P = I²R = I× I×R = I × V
Therefore given that the parameters are;
Voltage in the d.c. power supply = 600 V d.c.
Maximum current in the motor = 4000 A
Therefore, we can find the power as follows;
Maximum motor power = Voltage × Current
The maximum motor power, P available = 600 V × 4000 A = 2400000 W which on converting to MW becomes;
The maximum power available to the motor , P = 2.4 MW.
48/60 in its simplelest form
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{48}{60}[/tex]
To simplify find the highest common factor of 48 and 60, that is 12
Divide both values by 12
[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form
The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator
what is productivity?
a. quantity of input per unit of output
b. quantity of output per unit of input
c. quality of output per unit of input
d. quality of input per unit of output
Answer:
This is the quantity of output per unit of input.
Step-by-step explanation:
I'm very sure.
What the answer question
Answer:
Step-by-step explanation:
UV & UT are the sides
Need help with #11 please
Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1) and draw a straight line through them.
Step-by-step explanation:
The equation y= 5-x can be rewrite as y = -1x + 5 and it can be identify as a linear equation in slope intercept form. Now you could plot in any value of x and solve for y.
x y (x,y)
0 5 (0,5) If you put in 0 for x y will be 5
1 4 (1,4) if you put in 1 for x, y will be 4
2 3 (2,3) if you put in 2 for x, y will be 3
4 1 (4,1) if you put in 4 for x, y will be 1
5 0 (5,0) if you put in 5 for x y will be 0.
NEED MATH HELP NOW. Please solve for the x-intercept. Please show work.
Answer:
x = 1 and x = 3.
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 8x + 6
y = 2([tex]x^{2}[/tex] - 4x + 3)
y = 2(x - 3)(x - 1)
So, the x-intercepts would be at...
x-3 = 0
x = 3
and
x - 1 = 0
x = 1
Hope this helps!
Help im stuck on this question
Work out the area of the rectangle using a calculator and
giving your answer as a mixed number.
22 cm
5 cm
1
Note: To enter a mixed number in the answer boxes, please use the following method:
Type the fractional part of the mixed number first (e.g. for 6 first enter 5)
Then use the keyboard arrows to return to the front of the box and type the whole number (e.g. for 6
5 enter 6).
Answer:
11 17/21 cm²
Step-by-step explanation:
5 1/6 = (5*6 + 1)/6 = 31/6
2 2/7 = (2*7 + 2)/7 = 16/7
A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
Write [tex]3x^{2} -x-3+x^{3}[/tex] in standard form. Identify the leading coefficient.
Answer:
Standard form: [tex]x^3+3x^2-x-3[/tex]
Leading coefficient: 1
Step-by-step explanation:
[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]
The leading coefficient is 1 because the leading term is [tex]x^3[/tex].
Keith is the leading goal scorer for a team in an ice hockey league . Last season , he scored 42 goals in 82 games . Assuming he scores goals at at a constant rate , what is the slope of the line that represents this relashonships if the number of games is is along the x-axis and the number of goals is along the y-axis
Answer: The slope is 21/41.
Step-by-step explanation:
IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.
To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.
so 42/82 which reduces to 21/41 has to be the slope .
Answer:
it’s 21/41 or A (I got a 100% on the test)
If the slope of the line joining the points (2k, -2) and (1, - k) be (-2), find k
Answer:
k=4/5
Step-by-step explanation:
(-k+2)/(1-2k) = -2 ( using the slope formula (y2-y1)/(x2-x1) )
-k+2 = -2 (1-2k)
-k+2 = -2 + 4k
2= -2 +5k
4 = 5k
k=4/5
Answer:
k = 4/5Step-by-step explanation:
To find k use the formula for finding the slope of a line and equate it to the slope which is - 2
So we have
(2k, -2) and (1, - k)
[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]
Cross multiply
That's
- 2( 1 - 2k ) = - k + 2
Expand and simplify
- 2 + 4k = - k + 2
Group like terms
4k + k = 2 + 2
5k = 4
Divide both sides by 5
k = 4/5
Hope this helps you
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°Find the measures of ∠AOC, ∠COB, ∠BOD, ∠DOA.
Answer:
all are 90°
Step-by-step explanation:
Vertical angles are congruent, and linear angles are supplementary, so we have ...
∠AOC + ∠COB + ∠BOD = 270°
180° + ∠BOD = 270°
∠BOD = 90°
Since the lines cross at right angles, all of the angles are 90°.
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
Two cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the second card is a face card if it’s known that the first card was a face card.
Answer:
The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Step-by-step explanation:
Total number of face cards = 12
Total cards = 52
Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]
Remaining no. of face cards = 11
Remaining number of total cards = 51
Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]
The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]
Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818