Complete question :
The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
Answer:
b = k/d ; 40
Step-by-step explanation:
From the table:
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
The number of birds(b) in a park increases when the number of dogs (d) decreases.
Hence we can infer that an inverse relationship exists between them.
Number of birds(b) ∝ 1 / number of birds
b ∝ 1 / d
b = k/d
k = (b × d)
Where k is the proportionality constant
When d = 40, b = 10
Solve for k
k = (40 * 10)
k = 400
Therefore, number of birds(b), when there are 10 dogs;
b = k/d
k = 400, d = 10
b = 400 / 10
b = 40
40 birds when dogs = 10
Aaron and Betty went bowling. Betty scores twice the difference of Aaron's score and 5 . The sum of their scores is 320. Find each students bowling score.
Answer:
Aaron=110
Betty=210
Step-by-step explanation:
the photo contains the needed working out
An object in geometry with no width, length or height is an:
A. Point
B. Line
C. Ray
D. Angle
Answer:
A. Point
Step-by-step explanation:
It has no size. It tells about the location only.
Answer:
A. Point
Step-by-step explanation:
A point is a zero- dimensional object as it has no length, width, or height. It also has no size and tells about location only.
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh to
pick up 7 more people and drop off 5, and then at Cleveland to pick up 4 more people
and drop off 8, and arrive at Philadelphia 20 hours later. How old is the bus driver?
If I'm correct im sure I'd be 41
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.
To pick up 7 more people and drop off 5,
So, 43 + 7
= 50 -5
= 45
then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.
= 45 + 4
= 49 - 8
= 41
Therefore, the bus driver is 41 old.
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Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Answer:
[tex]\Huge \boxed{3a+4}[/tex]
Step-by-step explanation:
The function is given.
[tex]f(x)=3x+1[/tex]
To find : [tex]f(a+1)[/tex]
The input for the function f(x) is (a + 1).
Replace x with (a + 1).
[tex]f(a+1)=3(a+1)+1[/tex]
Expand brackets.
[tex]f(a+1)=3a+3+1[/tex]
Simplifying.
[tex]f(a+1)=3a+4[/tex]
Calculate the slope of a line that passes through the points (2, 6) and (4, 2) *
Answer:
-2
Step-by-step explanation:
Given:
Points (2, 6) and (4, 2)Slope formula:
m = (y2-y1)/(x2-x1)Using the given points:
m = (2- 6)/(4 - 2) = -4/2 = -2Write 1/64 as an expression with a negative exponent other than -1.
Answer:
[tex]8^{-2}[/tex]
Step-by-step explanation:
Remember, if there is a negative within the power sign, you must put the power and base under 1:
8^-2 = 1/(8^2).
Simplify:
1/(8^2) = 1/(8 * 8) = 1/(64)
1/64 = 1/64, ∴ [tex]8^{-2} = 1/64[/tex]
mona started making oatmeal cookies at 11:40 A.M. It took her 1 hour and 10 minutes to make the dough and 1 hour and 50 minutes to bake all of the cookies. What time was it when mona finished making cookies.
Answer:
14:40 P.M or 2:40 P.M
Step-by-step explanation:
Mona started making oatmeal cookies at 11:40 A.M. What time did she finish:
Making the dough = 1 hour and 10 minutes (1:10)
Baking all the cookies = 1 hour and 50 minutes (1:50
11:40 + 1:10 = 12:50 P.M
12:50 + 1:50 = 14:40 P.M
She finished making cookies at 14:40 P.M or 2:40 P.M
Three Bears
In the land of Plentiful Honey, lived three bears: Papa
Bear, Mama Bear and Baby Bear. They had three pots
of honey: one large, one medium, and one small. One
day they found themselves carrying the pots of honey
down a path. Papa was carrying the medium pot, while
Mama was carrying the small pot, and Baby was
carrying the large pot. This was clearly inequitable and they decided to trade pots, so that
each was proportional to the size of the bear. It may seem there is a simple solution to their
dilemma, however, the rules for transferring pots in the land of Plentiful Honey are quite
complicated. They are:
a) Only one pot of honey can be passed at a time.
b) fa bear is holding two pots of honey, only the smaller pot may be transferred.
• A honey pot may not be transferred to a bear that is holding a smaller pot.
d) Pots may not be set on anything, such as the ground or a stump.
Diagram or explain the sequence of the transferring of honey pots, so that Papa Bear has the
large pot, Mama Bear the medium pot, and Baby Bear the small pot.
Answer:
m→B, s→P, m→M, s→M, l→P, s→B
Step-by-step explanation:
The initial state is ...
(Baby, Mama, Papa) = (Large, Small, Medium)
The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.
Transfer the medium pot to Baby.
(B, M, P) = ({L, M}, S, –)
Transfer the small pot to Papa.
(B, M, P} = ({L, M} –, S)
Transfer the medium pot to Mama.
(B, M, P) = (L, M, S)
Transfer the small pot to Mama.
(B, M, P) = (L, {M, S}, –)
Transfer the large pot to Papa.
(B, M, P) = (–, {M, S}, L)
Transfer the small pot to Baby.
(B, M, P) = (S, M, L) . . . . . . desired end condition
What word also means to put or replace a variable with a number?
Answer:
Hey there!
Substitute would be your answer.
Let me know if this helps :)
THE SEVEN APPLEWOMEN
Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140
apples, went to market and sold all their apples at the same price, and each
received the same sum of money. What was the price?
Answer:
zero
Step-by-step explanation:
If the same sum is received for the sale of 20 apples at price p as is received for the sale of 140 apples at price p, then we must have ...
20p = 140p
120p = 0 . . . . . . subtract 20p
p = 0 . . . . . . . . . divide by 120
The price was zero.
Answer:
Price was 1 unit of money per each 7 apples and 3 units of money per each extra appleEach woman received 20 unit of moneyStep-by-step explanation:
This is the tricky one
I think 'The Seven Apple' is the hint. Let's see what the numbers have to do with 7:
20 = 7*2 + 640 = 7*5 + 560 = 7*8 + 480 = 7*11 + 3100 = 7*14 + 2120 = 7*17 + 1140 = 7*20 + 0Assume each '7 apples' sold for a fixed price x and each 'extra' apple sold for a different price y. Since all add up to make same amount, we get:
2x + 6y = 5x + 5y = ... = 20xLet x = 1, then we get y = 3
So we get the sold price:
20 apples cost: 2*1 + 6*3 = 2040 apples cost: 5*1 + 5*3 = 20...140 apples cost: 20*1 = 20So each apple woman got 20 units of money for their apples.
Price was 1 unit of money per each 7 and 3 units of money per each extra apple
Type the correct answer in each box. Use numerals instead of words. Consider the equation below. x/h+1=-2 The value of x in terms of h is ___. The value of x when h=4 is ___.
Answer:
x = -3h
x = -12
Step-by-step explanation:
Given equation is [tex]\frac{x}{h}+1=-2[/tex]
To find the value of x in terms of h we will solve the expression to isolate x on one side of the equation.
by subtracting 1 from both the sides of the equation,
[tex]\frac{x}{h}+1-1=-2-1[/tex]
[tex]\frac{x}{h}=-3[/tex]
Multiplying 'h' on both the sides of the equation,
[tex](\frac{x}{h})\times h = (-3)h[/tex]
x = -3h
If h = 4,
x = (-3)(4)
x = -12
Answer:
x = -3h
Given equation is
To find the value of x in terms of h we will solve the expression to isolate x on one side of the equation.
by subtracting 1 from both the sides of the equation,
Multiplying 'h' on both the sides of the equation,
x = -3h
If h = 4,
x = (-3)(4)
x = -12
Step-by-step explanation:
SOMEONE PLZ HELP ME ASAP!!!!
Answer:
hyp=12.76
Step-by-step explanation:
sin36=opp/hyp
hyp=opp/sin36
hyp=7.5/sin36
hyp=12.76 rounded to the nearest hundredth
Evaluate 5/8-(1/4)2=
Answer:
0.125
Step-by-step explanation:
(5 divided by 8) - ((1 divided by 4) x 2) = 0.125
Answer:
1/8
Step-by-step explanation:
Because of BEDMAS, we first multiply, then subtract.
We multiply 1/4 and 2, getting 2/4, or 1/2.
Then, our expression becomes 5/8 - 1/2.
We can evaluate:
5/8 - 1/2 = 5/8 - 4/8 and simplify, getting 1/8.
Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.
Answer:
The errors are;
a. negative 4 to negative 6
b. negative 2 to negative 4
Step-by-step explanation:
The number line is the mathematical representation of numbers in the horizontal line or the x-axis.
The result of the multiplication of a positive 2 and a negative 3 is;
2 x -3 = -6 , gives a negative 6.
So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.
Answer:
the answer is a and c :)
Step-by-step explanation:
Jimmy has 2 times as many twenty-five paisa coin as fifty-paisa coins . If he has total of Rs. 3.00, how many coins of each kind does he have ? Please answer will mark you the brainest!
Answer:
x = 6
y = 3
6 twenty-five paisa coin
3 fifty-paisa coins
Step-by-step explanation:
x -----> twenty-five paisa coin
y -----> fifty-paisa coins
0.25x + 0.5y = 3.00 per 100
x = 2y
25x + 50y = 300
x = 2y
25(2y) + 50y = 300
50y + 50y = 300
100y = 300
y = 300/100
y = 3
x = 2y
x = 2(3)
x = 6
there are 8 knives and 12 forks in a package of plastic utensils. Which ratio is equivelent to 8/12?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If you divide [tex]\frac{8}{12}[/tex] by 4 (both numerator and denominator)
You get [tex]\frac{2}{3}[/tex] which is equivalent to the given ration
( solving proportions ) solve for x .
Answer:
Your would need too add and subtract and find the least common multipule
X= 72/5 =14.400
Answer:
14.4
Step-by-step explanation:
By multiplying each side by 9x, you cancel out the denominators on each side. On the left what you have left is 9 x 8. On the right you have 5x. You can figure out the rest of the work for yourself. :)
Graph x≥−1, plz amswer. from khan
Draw a number line. Plot -1 on the number line and make this a filled in circle. Shade to the right of the filled in circle to indicate the set of values x such that [tex]x \ge -1[/tex]
So x could be -1 or it could be larger. The fact that x = -1 is possible is why we have a closed or filled in circle (instead of an open hole) at this endpoint.
Find the value of an exterior angle of a polygon with 12 sides
Answer:
[tex]\huge \boxed{30\°}[/tex]
Step-by-step explanation:
To find the value of an exterior angle of a regular polygon, we can apply a formula.
[tex]\displaystyle \frac{360}{n}[/tex]
[tex]n = \sf number \ of \ sides[/tex]
[tex]\displaystyle \frac{360}{12}=30[/tex]
Answer:
30°
Step-by-step explanation:
For a regular n -gon, the measure of an exterior angle is 360 ˚ / n
Since the sides give has 12 sides, (dodecagon)
the exterior angles is 360° / 12 = 30°
Jayden is a waiter at a restaurant. Each day he works, Jayden will make a guaranteed wage of $30, however the additional amount that Jayden earns from tips depends on the number of tables he waits on that day. From past experience, Jayden noticed that he will get about $14 in tips for each table he waits on. How much would Jayden expect to earn in a day on which he waits on 16 tables? How much would Jayden expect to make in a day when waiting on
Answer:
$254
$30 + $14x
Step-by-step explanation:
Jayden:
Guaranteed wage= $30
Tips per table = $14
Number of tables = 16
Total revenue = fixed revenue + variable revenue
Fixed revenue= $30
Variable revenue change with quantity= $14 × number of tables Jayden waits on
Total earnings of Jayden for the day = $30 + $14(16)
= $30 + $224
= $254
When Jayden waits on x number of tables
Total earnings of Jayden for the day = $30 + $14(x)
= $30 + $14x
Where x = number of tables Jayden waits on
Answer:
$254
30 + 14t
Step-by-step explanation:
what's the square root of 57?
Answer:
the square root of 57 is 7.549834435
=7.5
Step-by-step explanation:
press square root followed by 57 on your calculatorhelp me plz and ty....
Answer: c
Step-by-step explanation:
The two angles combine to form a straight angle which is 180 degrees. Therefore, the two angles are supplementary.
Find the midpoint of the line segment joining the points R(3,2) and S(-5,5).
The x coordinates are 3 and -5. They add to 3+(-5) = -2
Cut this in half to get -2/2 = -1
The x coordinate of the midpoint is x = -1
-------------------
The y coordinates are 2 and 5. They add to 2+5 = 7.
Then we cut this in half to get 7/2 = 3.5
The y coordinate of the midpoint is y = 3.5
-------------------
Overall, the midpoint is (-1, 3.5)
Answer: (-1, 3.5) which is the same as (-1, 7/2)Evaluate -1 -3- (-9) + (-5).
Answer:
The evaluated answer to the given expression is 0.
Step-by-step explanation:
-1 - 3 - (-9) + (-5)
Subtract -1 from 3.
-4 - (-9) + (-5)
Distribute the negative to -4.
-4 + 9 + (-5)
Add 9 to -4.
5 + (-5)
Add 5 to -5.
0
One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , black circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Answer:
red one = 1/26
black three = 1/26
six of hearts = 1/52
Question 4
20 pts
Graph the points X(-4,5) and Y(1,-1) on the coordinate plane. What type of
slope would the segment XY have?
O positive slope
O undefined slope
O negative slope
O zero slope
Answer:
Negative slope Hopefully
Step-by-step explanation:
Slope formula : (5 - (-1)) / (-4 - 1)
6/-5 = a negative slope
e Ann, Claire, and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire. If they collect a total of 157 stickers, how many stickers did each collect?
Answer: Ann = 67 Josh = 60 Claire = 30
Step-by-step explanation: You get the equation 5x+7 = 157. You get the equation because for example, Claire = x then josh = 2x and Ann = 2x + 7. You do all the math and boom! You get the answer :)
The number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
Given,
Ann, Claire, and Josh collect stickers.
One week, Ann collects 7 more stickers than Josh.
Josh collects twice as many stickers as Claire.
Total tickets collected = 157 stickers.
We need to find out how many stickers each collected.
Let the tickets collected by Ann, Claire, and Josh be A, C, and J.
We can write the following equation:
Ann collects 7 more stickers than Josh.
A = 7 + J _______(1)
Josh collects twice as many stickers as Claire.
J = 2C_______(2)
Total tickets collected = 157 stickers.
A + C + J = 157 ______(3)
Solve the equation (1), (2), and (3).
A = 7 + J _____(1)
J = 2C _______(2)
A + C + J = 157 ______(3)
Put J = 2C in A = 7 + J
A = 7 + 2C ______(4)
Put (2), (4) in (3)
7 + 2C + C + 2C = 157
7 + 5C = 157
Subtracting 7 on both sides.
7 + 5C - 7 = 157 - 7
5C = 150
Dividing both sides by 5.
C = 30
Putting C = 30 in J = 2C
J = 2x30 = 60
J = 60
Putting J = 60 in A = 7 + J
A = 7 + 60
A = 67
Thus the number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
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Show all work to factor x^4-10x^2+9 completely
Answer:
[tex](x^{2}-9)(x^{2} -1)[/tex]
Step-by-step explanation:
Step 1: Find what adds to _ and multiples to_
It needs to multiple to the 'c' term or 9
It needs to add to the 'b' term or -10
Step 2: Find the numbers
We know -9 and -1 make 10 and multiple to 9
-9 x -1 = 9
-9 + (-1) + -10
Step 3: Write equation in form a(x-r)(x-s)
a = 1
r = -9
s = -1
Plug in the equation to get the factored form of the equation:
[tex](x^{2}-9)(x^{2} -1)[/tex]
Therefore the factored form of the equation is [tex](x^{2}-9)(x^{2} -1)[/tex]
Quadratic equations are also a type of algebraic fractions that have factors.
The factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]
In order to completely factor [tex]x^{4} - 10x^{2} + 9[/tex] we would apply the formula:
a(x-r)(x-s)
To find the variables a, x, r and s, we have to love at the coefficients of [tex]x^{2}[/tex] which is -10 and the term 9 and find out what can we multiply together to give us 9 and add together to give us -10
That would be , -9 and - 1 because:
-9 x -1 = 9
-9 + (-1) = -10
Hence: the value for a = 1
, r = -9 and s = -1
Putting this into the equation:
1(x -(-9)(x - (-1))
Hence, we have:
[tex](x^2-9)( x^{2} - 1)[/tex]
Factorizing the above expression further, we have
[tex](x - 3)(x + 3)(x - 1)(x + 1)[/tex]
Therefore, the factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]
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The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter. How much did Trevor's family pay per minute on shower water?
Using proportions, we find that: Trevor's family paid $0.03 per minute on shower water.
---------------------------------
This question is solved using proportions.
There are 6 people in the house.There are 3 bathrooms in the house.Each person used an average of 72 liters of shower.Thus, the total amount of liters used is:
[tex]L = 72 \times 6 = 432[/tex]
---------------------------------
432 liters used.Each liter costs $0.2.Thus, the total amount paid was of:
[tex]A = 432 \times 0.2 = 86.4[/tex]
---------------------------------
Total of 86.4 dollars.Total of 6x480 = 2880 minutes.The amount of dollars per minute is:
[tex]D = \frac{86.4}{2880} = 0.03[/tex]
Trevor's family paid $0.03 per minute on shower water.
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Trevor's family paid $ 1.33 per minute on shower water.
Since the house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms, and in the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month), and water costs 0.20 dollars per liter, to determine how much did Trevor's family pay per minute on shower water, the following calculation must be performed:
You must multiply the number of liters by its value, and divide that result by the number of minutes that each person consumed, in order to obtain the value per minute on shower water.
((480 x 6) x 0.2) / (6 x 72) = X(2880 x 0.2) / 432 = X576/432 = X1.333 = XTherefore, Trevor's family paid $ 1.33 per minute on shower water.
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Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?
Answer:
its 5 cm
Step-by-step explanation:
its what I got off of Khan
The radius of a filled balloon is approximately 5.22 cm.
What is the volume of a sphere?The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.
Let's first find the volume of a filled balloon.
Since Terry can fill a balloon in 6 seconds and the faucet puts out 100 cm³ of water per second, the volume of a filled balloon is:
V = 6 × 100 = 600 cm³
Now we can use the formula for the volume of a sphere to find the radius.
Rearranging the formula, we get:
[tex]r = [\dfrac{3V}{4\pi}]^{(1/3)}[/tex]
Substituting V = 600 cm³, we get:
[tex]r = [\dfrac{3\times600}{4\pi}]^{(1/3)}[/tex]
r ≈ 5.22 cm
Therefore, the radius of a filled balloon is approximately 5.22 cm.
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