Answer:
We know that:
y = -5.797
x = 4.0
and:
k/y = p/x + 1
We can rewrite this as:
k = (p/x + 1)*y = p*(y/x) + y
Replacing the values of x and y, we get:
k = p*(-5.797/4.0) + (-5.797)
We could simplify this to get:
k = p*(-1.44925) - 5.797
So we ended with a linear equation, so for a given value of p, we know the k.
Now, we could solve this if we add the restriction that k and p must be integers.
Then we can return to:
k = (p/x + 1)*y = (p + x)*(y/x)
replacing the values we get:
k = (p + 4.0)*(-5.797/4.0)
if p = 3996, then p + 4 = 4000
and 4000*(-5.797/4.0) = 1000*(-5.797) = -5797
Then if we take p = 3996, k will also be an integer:
k = (3996 + 4.0)*(-5.797/4.0) = -5797
Then:
p = 3996
k = -5797
is a possible solution of the problem.
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the pyramid is 13.4\text{ ft}13.4 ft. Round your answer to the nearest tenth of a cubic foot. Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
28.5 ft^3
58.3 m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
Perimeter of a pyramid = 4 x length
10.1 = 4 x length
length = 10.1 / 4 = 2.525
1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
ILL GIVE BRAINLIEST. plsss help asap
Answer:
first one
Step-by-step explanation:
Answer:
It will be the first answer, Both balls will at the same rate
Evaluate -33.
-27
-9
9
27
Answer:
- 27
Step-by-step explanation:
(- 3)³
= - 3 * - 3 * - 3
= - 27
Hope it will help :)❤
Answer:
[tex] - {3}^{3} \\ = - 27[/tex]
At her track practice, Marcella can run at 2.4 meters per second. She writes the equation y=2.4.0 to
represent how many meters she runs after a certain number of seconds.
Which statement is true regarding the variables in the equation y = 2.4x?
[tex]\huge\mathcal{\fcolorbox{cyan}{black}{\pink{Answer࿐}}}[/tex]
★Option 3rd is correct
Hope it helps dear✧══════•❁❀❁•══════✧
hello please help i’ll give brainliest
Answer:
9
Step-by-step explanation:
8,8,9,10,10
the median is 9 and adding any other number tht isnt 9 would shift that median.
Suppose you choose four books
to read from a summer reading
list of 12 books. How many
different combinations of books
are possible?
n!
Note: „C, = 77(n-1)!
Enter
red rock city got 8 inches of snow. this is 4 times as much snow has Millstown got on the same day.
Answer:
what's the question
Step-by-step explanation:
I don't understand it
Which expression has a value of 2/3?
A. 8 + 24 divided by 12 x 4
B. 8 + 24 divided by (12 x 4)
C. (8 + 24) divided by (12 x 4)
D. 8 + (24 divided by 12) x 4
Answer:
C)
Step-by-step explanation:
A) 8 + 24 ÷ 12 x 4 = 8 + 2 x 4 = 8 + 8 = 16
B) 8 + 24 ÷ (12 x 4) = 8 + 24 ÷ 48 = 8 + 1/2
C) 32 ÷ 48 = 2/3
D) 8 + 2(4) = 16
"The product of four and a
number is more than ten."
Answer:
x>5/2
Step-by-step explanation:
4x>10
x>10/4
x>5/2
help meh please!!!!!!!!!!
The radius of a circle is 6 kilometers. What is the length of a 75° arc?
Answer:
7.85km
Step-by-step explanation:
Given data
Radius= 6km
θ= 75°
Arc length = 2πr (θ/360)
substitute
Arc length = 2*3.142*6 (75/360)
Arc length = 2*3.142*6*0.2083
Arc length = 7.85 km
Hence the length of the arc is 7.85km
-2x + 6 greater than or equal to -4
Answer:
C
Step-by-step explanation:
-2x+6 [tex]\geq[/tex]-4
-6 -6
-2x [tex]\geq[/tex]-10
divide both sides by -2
-2/2=-1
-10/2=-5
-5*-1=5
x[tex]\geq[/tex]5
x is greater than 5 so the number should be larger than 5 or equal to 5.
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in right triangle BPO
with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )
OP² + 4² = 5²
OP² + 16 = 25 ( subtract 16 from both sides )
OP² = 9 ( take the square root of both sides )
OP = [tex]\sqrt{9}[/tex] = 3
PLEASE HELP ME ASAP
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answer:
28 cm
Step-by-step explanation:
side opposite of 30° = x = shorter leg / opposite.
side opposite of 60° = x√3 = adjacent.
side opposite of 90° = 2x = hypotenuse.
There are 1030 books in the library we bought 67 more books for the library how many books are there in the library now?
Answer:
1097
Step-by-step explanation:
1,030+ 67= 1097
Answer:
1097 Books
Step-by-step explanation:
1030+67=1097
1000 + 874 + 53528 - 1026 =
Answer:
54376
is the answer .......
a right triangle has a leg length of 25 and a hypotenuse of length 44 yards what is the length of the other leg
Answer:
[tex]\sqrt{1311[/tex] or 36.2
Step-by-step explanation:
By using the Pythagorean theorem, you can find the length of the missing leg.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
narr
Step-by-step explanation:
weet is the least common multiple of the two denominators?
4
832
12
32
8
what is the decimal that is equivalent to the fraction 9/10
Answer:
0.9
Step-by-step explanation:
To convert a fraction to a decimal, divide the numerator by the denominator.
In this case, divide 9 by 10, which is 0.9.
Answer:
0.9
Step-by-step explanation:
9/10 is equal to 0.9
0.9 is equal to 9/10
1 / 10 x 9 = 9 x 0.1
Deborah bought 3 identical bindersand received $1.15 change from $10.00. Use algebra to find out how much each binder cost. Show your work.
Answer:
$2.95
Step-by-step explanation:
math
The cost of each binder is $2.95.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Deborah bought 3 identical binders.
He received $1.15 change from $10.00.
Cost for 3 binders = $10.00 - $1.15
= $8.85
Since the 3 binders are identical, each costs the same.
Cost of each binder = $8.85 / 3
= $2.95
Hence the cost of each binder is $2.95.
To learn more about Division, click on the link :
https://brainly.com/question/13393738
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a rectangular prism has a base 3 cm by 4 cm and is 5 cm in height
In the figure below, m /3=73*
Answer:
∠1 = 73
∠2 = 107
∠4 = 107
Step-by-step explanation:
∠1 and ∠3 are vertical angles
Vertical angles are congruent
Which means that because ∠3 = 73°, ∠1 also equals 73°
∠2 and ∠3 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠2 + ∠3 = 180
If ∠3 = 73° then ∠2 + 73 = 180
180 - 73 = 107
Hence, ∠2 = 107
∠2 and ∠4 are vertical angles
Like stated previously vertical angles are congruent
Which means that because ∠2 = 107°, ∠4 also equals 107°
Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long
Answer:
Let the triangle be ABC
Let AB = 14 and BC = 8
By Pythagoras theorem ,
[tex]AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = \sqrt{260}\ inches[/tex]
Answer:
6 < x < 22
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
14 - 8 < x < 14 + 8
6 < x < 22
Two vehicles are traveling at constant speeds. The distance traveled over a period of
time by the first vehicle is shown in the graph below. The distance traveled over a
period of time by the second vehicle is shown in the table below. Which vehicle is traveling
at a greater speed?
Vehicle 1
Vehicle 2
Distance (miles)
(3,120)
(2,80)
Time Distance
(hours) (miles)
5 150
8 240
Time (hours)
T
Answer:
Step-by-step explanation:
vehicle one is traveling at a greater speed. from the graphs we can see that in one hour the care would travel 40 miles.
the table shows the 2nd vehicle traveling 30 miles in one hour
So car 1 is going faster :)
Answer:
Vehicle 1 is Moving Faster.
Step-by-step explanation:
For vehicle 1.
(2,80) (3,120)
∆Distance= 120-80 = 40miles
∆time = 3-2=1hr
So V=Distance/time = 40miles/1hr
V1 = 40miles per hour.
For car 2.
∆Distance=240-150 =90miles
∆time=8-5 = 3hrs
V=90/3
V=30Miles per hour.
So Car1 is Moving faster and at a velocity of 40Miles per hour.
I wanna know if any of you guys could possibly help me with my foods work? It’s not hard it’s just a lot of once and I really have to get it done. plz don’t comment to be a moron.
draw the graph of 4x-3y=0
Answer:
[tex] slope = \frac{4}{3} [/tex]
Step-by-step explanation:
Hope it is helpful....
34
Select the correct answer from each drop-down menu.
4 units
4 units
6 units
6 units
4 unitst
The total area of the three triangles is
square units.
The area of the figure is
square units.
Reset
Nextk
Answer:
The total are of the three triangles is 36 square units.
The area of the figure is 60 square units.
Answer:
first box 36 second box 60
Step-by-step explanation:
P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)
The probability of a freshman being a boy is 3/37.
What is probability?
Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.
The total number of students is:
3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37
The number of freshman boys is 3. Therefore,
P(Freshman Boy) = number of freshman boys / total number of students
P(Freshman Boy) = 3/37
Hence, the probability of a freshman being a boy is 3/37.
To know more about probability visit :
https://brainly.com/question/13604758
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A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of each kind must he use to make 50 pounds of tea that will sell for $7.40 per pound?
Answer in _____ pounds of $8.00 tea and _____ pounds of $6.00 tea
ASAP-WILL MARK BRANLIEST!
Answer:
35 pounds of $8.00 tea and 15 pounds of $6.00 tea
Step-by-step explanation:
Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,
8x + 6(50 -x) = 50 * 7.4
simplify,
8x + 300 - 6x = 370
2x + 300 = 370
and solve.
2x = 70
x = 35
This means there is 35 pounds of the $8 kind.
We can subtract that from 50 to find,
50 - 35 = 15,
15 pounds is the amount of the $6 kind.