The table that shows the distribution of q to r illustrates a direct variation
The proportionality constant from q to r is 1/8
How to determine the proportionality constant?From the table, we have the following points
When q = 48, r = 6
The proportionality constant is then calculated as:
k = r/q
Substitute known values
k = 6/48
Divide
k = 1/8
Hence, the proportionality constant from q to r is 1/8
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Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18
B.x + y = 25
2 + y = 7
C. x - y = 25
2 - y = 7
D. x+y= 25
x - y = 7
Answer: x = 16, y = 9
D. x + y = 25
x - y = 7
Step-by-step explanation:
Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.
The sum of two numbers is 25
x + y = 25
Their difference is 7
x - y = 7
D. x + y = 25
x - y = 7
If the number of bacteria in a colony doubles every 336 hours and there is currently a
population of 9,000 bacteria, what will the population be 672 hours from now?
bacteria
The population of bacteria after 672 hours is 36000.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given question we have
The number of bacteria double is 336 hours.
And, the current population of bacteria is 9,000.
Therefore,
The population of bacteria after 336 hours = 9,000×2 = 18,000
⇒ the population of bacteria after 672 hours = 18000 × 2 = 36000
Hence, the population of bacteria after 672 hours is 36000.
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A box of macaroni is 5 inches long, ½ inch wide and 2 ¼ inches tall. What is the volume of the box?
Answer:
5.625 cubic inches
Step-by-step explanation:
marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms of n.
Answer:
9c=2n
Step-by-step explanation:
6n-9c=4n.
9c=2n
n = 9/2c, my bad for the wrong answer at first.
Help please thanks!!
Answer:
Firstly, we would have to find out how much is 25% of 32.
So we do this:
32 x 0.25 = 8
Now that we know that 8 is 25 % of 32
We simply add 8 to 32
and get the final answer which is 40
Which is smaller? 439.5 million or 484 million
Answer:
439.5 million
Step-by-step explanation:
Expand the numbers:
439.5 million = 439500000
484 million = 484000000
439.5 million is smaller because 3 < 8 in the tens of millions place.
Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?
Answer:
75 seconds to run 180 meters
Step-by-step explanation:
(180m) / (2.4m/s) = 75 seconds
75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.
The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.
ANSWER PLS! Dont just respond for the points pls
Answer:
18
Step-by-step explanation:
Intersecting Secant-Tangent Theorem
The square of the tangent is equal to the product of the external secant segment and the secant.
Given:
tangent = AE = 12external secant segment = EC = 8secant = ED = 18 + xAE² = EC · ED
⇒ 12² = 8(18 + x)
⇒ 144 = 144 + 8x
⇒ 0 = 8x
⇒ x = 0
ED = 18 + x
= 18 + 0
= 18
What is the volume of a cylinder with a height of 2.9 ft and a base with a radius of 4.5 ft, to the nearest tenth of a cubic foot?
Step-by-step explanation:
could not find the formula ?
the volume is a cylinder is
ground area × height
the ground area is a circle, so we get
pi×r²×h
where r is the radius, h is the height.
therefore
pi×4.5²×2.9 = 184.4900286... ft³ ≈ 184.5 ft³
find the value of a and b in parallelogram WXYZ
opposit side of parallelogram are equal and opposit angles are also equal
Which of the following expressions is equal to =
Answer:
4th option
Step-by-step explanation:
Remember the Quotient Rule:
[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]
6-2 = 4
So it is the last option
help pleaseee omggggggggg
Answer:
Only iris is correct in equation sq. z = 9/25
What is the area of this figure?
Answer:
through lengthy mafs, your answer should be 307 mi (wrong somehow)
Step-by-step explanation:
if you want an explanation, please, dont be afraid to comment ;)
(to other people who look this up the answer is actually 318 i dont know, but i got it wrong
lines l and m are parallel. Measure def is three times abc. Measure bcd=25%, measure cde=55%. Find measure abc.
Answer:
<ABC= 45 degrees
Angles on a straight line add up to 180
3x+ x= 180
4x=180
x=180÷4
x=45
Answer:
Measure of ABC = 15 degrees.
Step-by-step explanation:
We draw 2 lines parallel to l and m , one passing through pont C ( n) and the other passing through point D (p).
If < abc = x degrees then the angle below line n = 25 - x. As the one above = x degrees ( alternate to < ABC).
The angle below line p = < DEF 3x degrees (alternate angles)
So as < CDE = 55:
25 - x + 3x = 55
2x = 30
x = 15.
So < ABC = 15 degrees.
Answer number 3 please
Answer:
100 cm square?
Step-by-step explanation:
1 meter square = 100 cm square
Answer:
10,000 cm²
Step-by-step explanation:
m² to cm² conversion
1 m x 1 m = 1 m²But we know : [1 m = 100 cm]100 cm x 100 cm = 10,000 cm²Therefore, 1 m² = 10,000 cm²So, the surface area of the prism in cm² is 10,000 cm²
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14/10 or 1 2/5
Step-by-step explanation:
Hey there!
In order to simplify this expression, we need to add the numerators and not the denominator since they are the same
14/10 is what you will get or this is also 1 2/5
Answer:
A.
[tex]1 \frac{2}{5} [/tex]
Explanation:
6/10 + 8/ 10 = 7/5
[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]
hope this helps.
Substitution method please
Answer:
x = 3, y = -2
Step-by-step explanation:
Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.
4x - 3(4 -2x) = 18
4x - 12 + 6x = 18
10x - 12 = 18
10x = 30
x = 3
From this, we have y = 4 - 2(3) = 4 - 6 = -2
Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?
Answer: 90
Step-by-step explanation:
add all numbers up:
82+85+89+94+100=450
divide by amount of numbers
450/5=90
Ill give you a cookie if you answer the question correct
Answer:
$7.20
Step-by-step explanation:
convert 1 1/4 to decimal form.
0.25+1=1.25
9/1.25 =7.20
3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?
Answer:
Answer given in the image below
I hope my answers helps you.
7.3 reteaching with practice 415-420
Answer:
Eu não entendi, porque se for pergunta de matemática, 415-420 dá um numero negativo que seria -5
Step-by-step explanation:
pense em 420 e tire 415 , simples
Answer:
He is right
Step-by-step explanation:
Sorry i might post a lot of these butttt help please!
80 points!!
Answer:
Step-by-step explanation:
Area of figure I = length * width
= 8 *16
= 128 cm²
Area of figure II = length * width
= 4 * 3
= 12 cm²
Trianlge:
base = b = 7 cm
height = 4 + 4 + 6 = 14 cm
[tex]\text{area of triangle =$\dfrac{1}{2}*b*h$}[/tex]
[tex]= \dfrac{1}{2} * 7 * 14[/tex]
= 7 * 7
= 49 cm²
Area of the figure = area of figure I + area of figure II + area of figure II
= 128 + 12 + 49
= 189 cm²[tex]\text{area of figure III = \dfrac{1}{2}*b*h}[/tex]
Answer:
189 cm²
area of triangle:
1/2 * base * height
1/2 * 7 * (6+4+4)
49 cm²
area of rectangle:
Length * Width
8 * 10
80 cm²
area of rectangle 2:
Length * Width
6 * 8
48 cm²
area of small rectangle:
Length * Width
4 * 3
12 cm²
total area:
49 + 48 + 12 + 80
189 cm²
i need help please hellp me
Answer:
Step-by-step explanation:
3
Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)
You purchased 7 3/4 lb of candy for your party. You're expecting to have 10 guests attend your party. How much candy will each guests get?
Answer: .775 lbs
Step-by-step explanation:
7 3/4 _> 7.75
7.75 / 10 = .775
On a piece of paper, graph f(x) = (3x if x< 3) (f(x) = 2x if x > 3) Then determine which answer
choice matches the graph you drew.
[tex]if\ \alpha < 3[/tex]
[tex]f(\alpha )=3\alpha[/tex]
[tex]if\ x\ \geqslant 3[/tex]
[tex]f(x)=2x[/tex]
[tex]Sin\ you\ get\ the[/tex]
[tex]yoiclure\ on\ the[/tex]
[tex]right.[/tex]
I hope this helps you
:)
The choice that matches the graph of the function as is defined to us is: Graph A.
What is a function?A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).
We are given a function f(x) as:
f(x)= 2x if x < 3 and 4 if x ≥ 3
This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.
Hence, the graph of this function is: Graph A.
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A robot can complete 7 tasks in 2/3
hour. What is the unit rate for hours per task
Answer:
2/21 hours per task.
Step-by-step explanation:
2/3 / 7 hours per task
= 2/21.
What is the gradient of the blue line
Answer:
4
Step-by-step explanation:
gradient = diffrence in y / diffrence in x
= 4-0/5-4
4
Solve for x show work
2x=-6
Answer:
-3
Step-by-step explanation:
2x=-6
transpose 2 to LHS
[tex]x = \frac{ - 6}{2 } \\ =x = - 3[/tex]
Answer:
x = - 3
Step-by-step explanation:
2x = - 6 ( divide both sides by 2 )
x = - 3
pls helpppp i dont understand at all !!
Answer:
increasing
increasing
decreasing
increasing
decreasing
neither
Step-by-step explanation:
"increasing" just means the graph is going up from left to right.
"decreasing" means going down from left to right.
"neither increasing nor decreasing" means flat, horizontal, not going up or down.
Imagine you are walking on the x-axis, starting on the left, the numbers on the axis are like house addresses as you walk down the street. The column that says "interval" is saying where you are looking at along the axis.
-7 < x < -3 means from -7 to -3 on the x-axis. That piece of the curve IS going up from left to right. From -3 to -1 is also going up, so its increasing. From -1 to 1 the graph goes down, that's decreasing. Then it goes up again, then down, then flat. (incr, decr, neither)
Any slanted line or curve can be seen as going up or going down, depending on which direction you are going. But in this case only consider left to right ONLY. Then you can tell if its increasing or decreasing.