Answer:
first we find out how much is three dozens?
3 x 12 =36
now we multiply 26 and 36 to find out the number of cookies
26 x 36 = 936
936 cookies is your answer
What is the linear speed in miles per hour of the tip of a lawnmower blade spinning at 2800 revolutions per minute in a lawnmower that cuts a path that is 26 inches wide?
What is the angular speed in degrees per hour?
The linear speed in miles per hour of the tip of a lawnmower blade spinning is 0.0601509076 miles per hour and angular velocity is 293.276 rad/hr.
What is linear speed?The measurement of a moving object's actual distance traveled is called linear speed. Linear speed is the rate of motion of an item along a straight line. It is the distance traveled along a linear path in the allotted amount of time.
2800 rotations per minute on a lawnmower blade.
Specifically, the frequency of the blade is 2800 revolutions per hour,
f = 2800 / 60, or 46.66.
The angular velocity is
ω = 2πf
where f = frequency
ω = 2 × 3.14 × 46.7
ω = 293.276 rad/hr
The diameter of the circle centered at the blade's middle determines the path's breadth.
26 inches in diameter
radius = 26 / 2 = 13
13 inch = 0.0002051 miles
Velocity is given by -
V = ωR
V = 293.276 × 0.0002051
Velocity = 0.0601509076 miles per hour
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The larger room is twice as wide as the smaller room which is 29 3/4’. How wide is the
larger room?
Based on the fact that the larger room is twice as wide as the smaller room, the width of the larger room is 59¹/₂ inches.
How wide is the larger room?The larger room is twice the width of the smaller room.
If the smaller room is 29³/₄ inches therefore, the width of the larger room will be:
= Width of smaller room x 2
Solving for the width of the larger room gives:
= 29³/₄ x 2
= 29.75 x 2
= 59.50
= 59¹/₂ inches
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Write the improper fraction 30/7 as a mixed number
Answer:
Step-by-step explanation:
30/7 = 4 2/7
Because 7 only goes into 30, four times (7 x 4 = 28) anything else would be too big.
7 goes into 30 four times, and you get left with a remainder of 2
So you write 4 wholes, then 2/7 because 2 is the remainder it goes on top, and 7 stays in the denominator (bottom)
Which of the expressions are equivalent to the one below? Check all that
apply.
(6.1)-8
A. 6-(1-8)
B. (1-8) (6-8)
C. 8- (1.6)
D. (1.6)-8
Answer:
C. & D.
Step-by-step explanation:
I believe it is C & D because, They both are in the same order just switched around, combine like like terms on both sides of the equation then if they are identical then they're equivalent.
refer to the image pls!! Will give brainliest
Step-by-step explanation:
hmmm, it is all there, you only need to write it up.
so, please, let me know what you don't understand about such equations and variables.
(a)
2x + 5y = 45
8x + 3y = 44
(b)
to solve this we try to use either one equation to express one variable by the other. and solve for that remaining variable (and then drive the second one from that), or to combine both equations directly to eliminate one variable and solve.
I think the second option is best here.
so, we multiply the 1st equation by -4, and then we add both equations :
-8x - 20y = -180
8x + 3y = 44
-------------------------
0 - 17y = -136
-17y = -136
17y = 136
y = 8
2x + 5y = 45
2x + 5×8 = 45
2x + 40 = 45
2x = 5
x = 2.5
to rent a chair costs $2.50.
to rent a table costs $8.00.
In Exercises 1–10, determine whether each relation is a function.
Give the domain and range for each relation.
7 . {(-3, -3), (-2, -2), (-1, -1), (0, 0)}
9. {(1, 4), (1, 5), (1, 6)}
The relation 7 is a function and the relation 9 is not function.
How to determine whether each relation is a function?Relation 7
The relation is given as
{(-3, -3), (-2, -2), (-1, -1), (0, 0)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is a function.
This is so because each domain value {-3, -2, -1, 0} point to different range value {-3, -2, -1, 0}
Function 9
The relation is given as
{(1, 4), (1, 5), (1, 6)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is not function.
This is so because each domain value {1} point to the same range value {4, 5, 6}
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when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to congestion on the highway if the total traveling time for the round-trip is 50 minutes 5/6 of an hour find the distance between Dallas‘s workplace and home
The required distance is 16.40 km.
This problem can be solved if we know the concept of speed, time and distance.
We know the speed=[tex]\frac{distance}{time}[/tex]
To solve the problem let us assume that the total distance between the workplace and home is x km.
Given that his speed while going from home to work is 45 mph and while returning is 35 mph.
Time for the complete journey is [tex]\frac{5}{6}hr[/tex].
Now according to question;
[tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]
⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]
⇒[tex]16x=\frac{5*315}{6}[/tex]
⇒ [tex]x=\frac{5*315}{6*16}[/tex]
∴ [tex]x=16.40\ km[/tex]
So, the required distance is 16.40 km.
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Solve the formula of the indicated variable C=xw+x, for w
Evaluate the left hand side to find the value of a in the equation in simplest form.
The value of a in the equation in the simplest form will be 17 / 6.
We are given an equation:
x³ / x^(1/6) = x^(a)
We need to evaluate the left hand side to find the value of a in the equation in simplest form.
We know that:
x^ (a) / x^ (b) = x^ ( a - b)
Using this, we get that:
x^ (3 - 1/6) = x^ (a)
x^ (17/6) = x^ (a)
By comparing the bases, we get the value of a as:
a = 17 / 6.
Therefore, the value of a in the equation in the simplest form will be 17 / 6.
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Are these a function or not? Will give BRAINLEIST
Answer:
D:function, E:not a function
Step-by-step explanation:
We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.
:D
please help asap and explain how you got it so i can understand.
Answer:
q = 6
Step-by-step explanation:
|q - 8| = 14
The negatives within an absolute value turn positive so it's really:
q + 8 = 14
q = 6
There are 100 marbles in a bag. 16 are green, 32 are blue, 17 are red, 29 are yellow, and 6 are orange. True or False: 68% of the
marbles are blue
Answer:
False
Step-by-step explanation:
32 marbles are blue
32/100 = 32%, not 68%
What is 51 rounded to the nearest tenth subtracted by 20?
Point B is between points A and C. AC-10x+6, AB=5x, and BC-4x+12, Find AB.
The value of AB that is 5x is equal to 30.
It is given that the points A, B and C are collinear. Collinear points may be defined as three or more points which lie on a straight line.
Here B lies between A and C and the three points A, B and C are collinear. Thus, according to property of collinear points:
AB+BC=AC
Now, according to question AB=5x, BC= 4x+12 and AC= 10x+6.
So, 5x+4x+12=10x+6
Taking the like terms on one side;
12-6 = 10x+9x
=> x=6
Now, AB=5x, thus AB= 5×5=30
Therefore, the value of AB is 30.
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Complete question:
Three points A, B and C are collinear. Point B is between points A and C. AC=10x+6, AB=5x, and BC=4x+12, Find AB.
Solve for m
m + k ÷ h = w
Literal Equations
Answer:
m+k=hw
m=hw-m
always conside BODMAS rule and subject
The length of a rectangle is 4yd longer than its width.
If the perimeter of the rectangle is 68yd, find its length and width.
Answer:
Length= 19 yd
Width= 15 yd
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Mathematically, it can be represented as below:
[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]
Define variables used:
Let the length and width of the rectangle be L and W yards respectively.
Form an equation:
Given that the length of the rectangle is 4 yards longer that the width,
L= W +4 -----(1)
Next, form another equation using information on the perimeter.
68= 2(L +W) -----(2)
Substitute equation (1) into (2):
68= 2(W +4 +W)
68= 2(2W +4)
Divide both sides by 2:
34= 2W +4
Subtract both sides by 4:
2W= 34 -4
2W= 30
Divide both sides by 2:
W= 30 ÷2
W= 15
Substitute W= 15 into (1):
L= 15 +4
L= 19
Therefore, the length and width of the rectangle is 19 and 15 yards respectively.
Additional:
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Watch help video
Given g(x) = 2x + 3, find g(0).
Answer:
g(0) = 3
Step-by-step explanation:
Hello!
Substitute 0 for x in the equation.
Evaluateg(x) = 2x + 3g(0) = 2(0) + 3g(0) = 0 + 3g(0) = 3g(0) is 3.
A square that is 6 m on a side is placed inside a rectangle that has a width of 11 m and a length of 18 m. What is the area of the region inside the rectangle that surrounds the square?
The area of the region inside the rectangle that surrounds the square is; 162 square meters
How to find the area of regular shapes?
We are given that;
Side length of square = 6 m
Width of rectangle = 11 m
Length of rectangle = 18m
Thus;
Area of rectangle = width * length = 11 * 18 = 198 square meters
Area of square = side * side = 6 * 6 = 36 square meters
Area of region inside rectangle not inside square = (area of rectangle) - (area of square) = 198 - 36 = 162 square meters
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Over the last baseball season, Billy averaged 28 hits per 100 turns to bat, while Carl averaged one hit for every 2.5 turns. At these rates, which player would have more hits in 500 turns to bat, and how many more?
Using proportions, it is found that Carl would have 60 more hits in 500 turns.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Billy's proportion is of 28/100, hence his amount of hits in 500 turns is:
500 x 28/100 = 140 hits.
Carl's proportion is of 1/2.5, hence his amount of hits in 500 turns is:
500 x 1/2.5 = 200 hits.
The difference is:
200 - 140 = 60 hits.
Carl would have 60 more hits in 500 turns.
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b) Express 8.423 hours in hours, minutes, and seconds.
Hello!
[tex]8.423 \texttt{ hours in hours, minutes, seconds}[/tex]
[tex]8.423=08:25:22[/tex]
Hope this helps!
taylor has 85 cents in imes and nickels in her pocket. the number of dimes is four more than the number of nickels. How many of each coin does she have?
Answer:
3 nickels and 7 dimes.
Step-by-step explanation:
Let +n+ = number of nickels
Let +d+ = number of dimes
-----------------------------
(1) +5n+%2B+10d+=+85+
(2) +d+=+n+%2B+4+
----------------------------
Substitute (2) into (1)
(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+
(1) +5n+%2B+10n+%2B+40+=+85+
(1) +15n+=+45+
(1) +n+=+3+
and
(2) +d+=+n+%2B+4+
(2) +d+=+3+%2B+4+
(2) +d+=+7+
---------------------
There are 3 nickels and 7 dimes
-------------------------------
check:
(1) +5n+%2B+10d+=+85+
(1) +5%2A3+%2B+10%2A7+=+85+
(1) +15+%2B+70+=+85+
(1) +85+%2B+85+
OK
!!!100 POINTS!!! Correct answer gets brainliest.
The total payroll for a baseball team is 2.37 x 109 dollars, and the total payroll for a football team is 2.8 x 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
4.3 x 1011 dollars
2.7763 x 1011 dollars
2.7763 x 109 dollars
0.43 x 109 dollars
Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹
What is the difference in payroll?The total payroll of the baseball team is:
= 2.37 x 10⁹
= $2,370,000,000
The total payroll of the football team is:
= 2.8 x 10¹¹
= $280,000,000,000
The difference is:
= 280,000,000,000 - 2,370,000,000
= $277,630,000,000
In scientific notation this is:
= 2.7763 x 10¹¹
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Answer:
b 2.7763 x 1011
Step-by-step explanation:
Which of the following phrases could be translated to an expression y + 5
Answer:five more than y
Step-by-step explanation:
Robert spends $30.45, before tax, at the bookstore. If the sales Tax rate in his city is 7.25%, and Robert started with $40, how much does Robert have left?
The amount of money Robert has left given the amount he started with and after deducting tax is approximately $7.34
How much does Robert have left after deducting tax?Tax can be defined as the compulsory levy paid by citizens of a particular country on their income, goods and be services.
Amount Robert started with = $40Amount Robert spent before tax = $30.45Tax rate = 7.25%Amount of tax = Tax rate × Amount Robert spent before tax
= 7.25% × $30.45
= 7.25/100 × 30.45
= 0.0725 × 30.45
= $2.207625
Total amount Robert spent = Amount Robert spent before tax + Amount of tax
= $30.45 + $2.207625
= $32.657625
Amount Robert has left = Amount Robert started with - Total amount Robert spent
= $40 - $32.657625
= $7.342375
Approximately,
$7.34
Therefore, the amount Robert has left after deducting tax is $7.34
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carla wrote this number:815,247 travis wrote this number: 638.571 the digit 8 in carlas number represents how many times what the digit 8 represents in travis number?(55 points)
The 8 in Carla's number is 100 times the 8 in Travis' number.
How many times what the digit 8 represents in Travis number?Here you need to understand the concept of place value. For any number, each digit is always a order of magnitude of 10 larger than the digit in the left.
For example, in 88
The first 8 is 10 times larger than the second one.
There comes the concept of place value, the first digit at the left of the decimal point represents the units, the second represents the tens, the third one the hundresd, and so on.
So, in the two given numbers:
815,247 Here the 8 represents the hundreds of thousands.
638,571 Here the 8 is in the thousands place value.
Then the relation between the first 8 and the second one is:
100,000/1,000 = 100
The 8 in Carla's number is 100 times the 8 in Travis' number.
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can someone help me with this
Step-by-step explanation:
so it starts with
182 = 182 × 3 / p
as the price is inversely related to D.
(a)
so, in general
D = 182 × 3/p = 546/p
(b)
D = 546/3.25 = 168 bags
if the price increases to $3.25, then they will sell only 168 bags.
I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...
rita had 300$. she spent 1/3 of her money on notebook and 1/4 on stationary items how much money is left with her?
with statement and explanation pls.
Rita is left with $25
How to calculate the amount of money left ?Rita has $300
She spent 1/3 of the money on notebook
= 1/3 × 300
= 100
Rita also spent 1/4 of the money on stationary item
1/4 × 100
= 25
Hence Rita is left with $25
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i need an answer!! (marking as brainliest)
Answer: I hope this helps.
Step-by-step explanation:
What is the relationship between the volume and surface area of the sphere shown?
V>SA
OV
OV=SA
Answer: mark as brainliest please
Step-by-step explanation:
V=4/3 x 3.14 x 3^3
V= 113.04
SA= 4 x 3.14 x 3^2
SA= 113.04
solve for u.
(u-7) (u - 13)=0
Answer:
u = 7 OR u = 13
Step-by-step explanation:
Using the zero property of multiplication, you know you have to make either u-7 or u-13 equal to zero. You get the two solutions from these two cases, where you make either of the equations equal to 0:
u - 7 = 0
Add 7 to both sides
u = 7
u - 13 = 0
Add 13 to both sides
u = 13
FINAL ANSWER: u = 7 OR u = 13
