Answers
Answer:
1) x = 62.2
2) x = 35.9
3) x = 61.9
4) x = 53.1
Related Questions
At a pizza restaurant the cook has 144 ounces of tomato sauce. The cook uses exactly 4
ounces of tomato sauce on every pizza. How many pizzas can the cook make? How many
ounces of tomato sauce will be left over?
Answers
Answer:
36 pizzas
no sauce left over
Step-by-step explanation:
Take the total amount and divide by 4
144/4 =36
The cook can make 36 pizzas
Ther is no sauce left over
144/4=36
No tomato sauce left over
12. Your friend evaluates the power (-3)^2Is your friend correct? Explain.
Answers
Answer:
no
Step-by-step explanation:
(- 3)² = - 3 × - 3 = 9 ≠ -9
Answer:
no , see below
Step-by-step explanation:
when you raise a number to a power, you multiply the number by itself the amount of times the power is. so if (-3) has a power of 2 , we multiply -3 by itself twice.
so we get -3 × -3
a negative times a negative is a positive
so -3 × -3 = 9 , not -9
A town has a population of 4.11 x 104 and shrinks at a rate of 9.6% every year.
Which equation represents the town's population after 4 years?
Answers
Answer:
59304
Step-by-step explanation:
4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096
x(n)−population after n years
x(n)=x(0)×1.096^n=41100x1.096^n
x(4)=41100×1.096⁴=59304.007
= 59304
An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]
Now,
[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]
⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]
⇒ [tex]x(4)=41100\times(1.096)^4[/tex]
⇒ x(n)=41100×1.443
⇒ x(n)=59307.3
Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
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A circle has an arc of length 36 with central angle 40°. Find the circumference of the circle.
Answers
Answer: 324.02
Step-by-step explanation:
Radius 51.57
add 3x^2-5+1 +2x^2+9x-6
Answers
Answer:
5x² + 9x - 10
Step-by-step explanation:
To completely simplify this equation, add all like terms.
3x² - 5 + 1 + 2x² + 9x - 6
= 5x² + 9x - 10
hope this helps :)
In trapezoid PQRS, PQ is parallel to SR. What is the area of PQRS in simplest radical form?
Answers
The area of the considered trapezoid PQRS in simplest radical form is given by: Option c: 256 + 128√3 (in sq. units)
How to find the area of a trapezoid?The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).
Thus, if we have:
Length of its parallel sides = 'a' and 'b' units respectively
Perpendicular distance between its parallel sides = 'h' units,
Then, we get:
[tex]A = \dfrac{1}{2}\times(a+b) \times h \: \rm unit^2[/tex]
Consider the figure attached below, which is a bit more labeled figure of the given trapezoid.
We constructed PA perpendicular to the level of SR, and therefore, as SR is parallel to PQ, we have PA perpendicular to PQ too.
Similarly, QB is constructed perpendicular to both PQ and SR.
Thus, for PQBA, all pair of adjacent sides are perpendicular to each other, therefore its a rectangle.
Sum of parallel sides = Length of PQ + Length of SR
= 24 + |SR| = 24 + |SB| + |BR| = 24 + |AS| - |AS| + |SB| |+ |BR|
= 24 + |AS| + |SB| + |BR| - |AS| = 24 + |AB| + |BR| - |AS|
Due to PABQ being a rectangle (its four sides are such that adjacent sides are perpendicular to each other), we have |PQ| = |AB| = 24 units.
Thus, we get:
Sum of parallel sides = 24 + |AB| + |BR| - |AS| = 48 + |BR| - |AS|
Perpendicular distance between its parallel sides = |PA| = |QB|
Thus, we need to find the values of 3 line segments, which are:
|BR|, |AS|, and |PA| (instead of |PA|, we can find |QB| too, since both are of same length).
Case 1: Finding the length of BR:From the perpective of angle R(interior) in right triangle RBQ, we know the side RQ's length (32 units), and want length of BR.
Thus, its hypotenuse and base from the perspective of angle R (interior).
Thus, we can use cosine ratio or secant ratio. Let we use cosine ratio.
Then, we get:
[tex]\cos(30^\circ) = \dfrac{|BR|}{|RQ|} \\\\|BR| = 32 \times \cos(30^\circ) = 32 \times \dfrac{\sqrt{3}}{2} = 16\sqrt{3}\: \rm units[/tex]
For the same triangle as in case 1 (ie RBQ), but now taking the sine ratio, we get:
[tex]\sin(30^\circ) = \dfrac{|BQ|}{|RQ|} \\\\|BQ| = 32 \times \sin(30^\circ) = 16 \: \rm units[/tex]
This is same as |PA| because of PQBA being a rectangle.
Case 3: Finding the length of AS:The angle PSA is supplement of angle PSR as both joined make a straight line ASR. Thus, we get:
[tex]m\angle PSA + m\angle PSR = 180^\circ\\m\angle PSA = 180^\circ-135^\circ = 45^\circ[/tex]
Thus, for the triangle PSA, similar to the first case or second case, but now using tangent ratio as we've got |PA| = |QB| = 16 units, we get:
[tex]\tan(m\angle PSA) = \dfrac{|PA|}{|AS|}\\\tan(45^\circ) = \dfrac{|PA|}{|AS|} \\\\|AS| = 1 \times 16 = 16 \: \rm units[/tex]
Thus, we get:
Sum of parallel sides = 48 + |BR| - |AS| = 48 + 16√3 - 16 = 32 + 16√3 units
Perpendicular distance between its parallel sides = |PA| = |QB| = 16 units.
Thus, Area of the trapezoid PQRS is evaluated as:
[tex]A = \dfrac{1}{2} \times \text{Sum of parallel sides} \times \text{Distance between those sides}\\A =\dfrac{1}{2} \times (32 + 16\sqrt{3}) \times 16 \\\\A = 256 + 128\sqrt{3} \: \rm unit^2[/tex]
Thus, the area of the considered trapezoid PQRS in simplest radical form is given by: Option c: 256 + 128√3 (in sq. units)
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Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.
Location Amount of Rainfall
Austin, Texas 0.8687 m
Beaumont, Texas 1.534 m
Galveston, Texas 109.5 cm
El Paso, Texas 246.4 mm
Del Rio, Texas 495.3 mm
South Padre, Texas 65.5 cm
a. Using complete sentences, identify the city with the greatest amount of rainfall and the city with the least amount of rainfall, and express the ratio of their respective rainfalls as a decimal number, rounded to the nearest hundredth.
b. Describe what this ratio tells you.
Answers
The location with the greatest amount of rainfall is Beaumont, while the location with the least amount is El Paso.
How to identify the place with the greatest and least amount of rainfall?The first step is to make sure to use the same units. Due to this, let's convert everything to meters.
Austin = 0.8687 mBeaumont = 1.534 mGalveston = 1.095 mEl Paso = 0.2464 mDel Rio = 0.4953 mSouth Padre= 0.655mBased on this, Beaumont has the greatest amount of rainfall and El Paso has the lowest amount of rainfall.
How are the two places related?The ratio for these places are 1.5 to 0.2 or 1.5/ 2 = 0.7. This ratio implies that there is a difference of 0.7 meters in the amount of rainfall in these places.
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The other person is right, I used this and it worked.
How many whole numbers are there from 25 to 38?
Answers
Answer:
there is 13 whole number between 25 and 38
if a six pack of soda cost 2.46 how much is one can
Answers
Answer:
one can would be about $0.41
Step-by-step explanation:
Take $2.46 and divide it by 6 because that is the number of cans in the pack, the answer is $0.41 per can.
Evelyn and her friends bought 35 grams of cinnamon. They used 3.1 grams of it to make some snickerdoodle cookies. How much cinnamon do they have left?
Answers
Answer:
31.9 grams
Step-by-step explanation:
35 - 3.1 = 31.9 grams
Hope this helped you!
how do i solve this equation
Answers
Answer:5.4
Step-by-step explanation:
so first you cross multiply and then you solve for x from there. You shold get 5.385164807. But you need to round that so I rounded to the nearest tenth, which would be 5.4
The area of a square with side length of 5 cm is ___________ cm.
Answers
Answer:
25cm
Step-by-step explanation:
5 x 5 its not that hard
Which of the following expressions would give the number of ways to choose a group of 7 from a group
of 15?
151!/7!8!
7!/15!8!
7!15!7!
Answers
Answer:
A) 15!/(7!8!)Step-by-step explanation:
We are looking for the combination of 7 out of 15.
This is written as
15C7This is calculated as
15!/(7!(15-7)! = 15!/(7!8!)Correct choice is A
HEEEEEELP
Solve for x. Leave your answer in simplest radical form.
Answers
Answer:
Here is the answer hope it helps:)
Use the method of completing the square to determine the exact values of x for the equation x2-8x+6=0.
Answers
Answer:
x=7.16 or0.84
Step-by-step explanation:
The solution is in the image
In Valentina’s piggy bank there are just as many nickels as pennies, three more dimes than nickels, and five fewer quarters than pennies. How many of each kind of coin are there if Valentina has $3.97 in her bank?
Answers
Answer: 15 dimes 12 nickels 12 pennies 7 quarters?
Step-by-step explanation:
GIVING BRAINLIESTT!!!!
Answers
Answer:
A
Step-by-step explanation:
Slope = +1
Y-int = 2
The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?
a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.
Answers
Answer:
c
Step-by-step explanation:
A sports store has a container of handballs: 4 blue, 5 red, 8 yellow 9 white and 11 green. If one ball is picked from the container at random,what is the probability that it will be yellow?
Answers
Answer:
8/37
Step-by-step explanation:
The total number of handballs in the container is
4+5+8+9+11 = 37
Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.
add the numbers 197,203 and 423 in two ways fast
Answers
Answer:
823
Method 1
Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)
197 = 1 hundred, 9 tens, 7 units
203 = 2 hundreds, 0 tens, 3 units
423 = 4 hundreds, 2 tens, 3 units
Units: 7 + 3 + 3 = 13
Tens: 9 + 2 = 11 tens = 110
Hundreds: 1 + 2 + 4 = 7 hundreds = 700
Add these together: 700 + 110 + 13 = 823
Method 2
First add 203 to 197:
Borrow the 3 from 203 and add it to 197: 197 + 3 = 200
Add the remaining 200: 200 + 200 = 400
Now add 423 to 400: 400 + 423 = 823
⇒ 203 + 197 + 423 = (203 + 197) + 423
= 400 + 423
= 823
197
203
423
——
823
Method two:
Add the hundreds first:
100+200+400=700
Then add the tens:
700+90+20=810
Then add the 1s:
810+7+3+3=823
HOPE I HELPED!
Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?
Answers
Answer:
17x-15
Step-by-step explanation:
I think.
Answer:
17x+19
Step-by-step explanation:
20x+17-(3x-2) (Set up the equation)
20x+17-3x+2 (Distribute the negative to both, double negative cancel out)
17x+19 (Combine Like terms)
Please give coordinates :)
Answers
The coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The first equation given in the problem is,
[tex]x+y=0[/tex]
Rearrange it,
[tex]y=-x[/tex] .....1
The second equation given as,
[tex]-3x+4y=14[/tex]
Rearrange it,
[tex]-3x+4y=14\\4y=14+3x\\y=\dfrac{14+3x}{4}[/tex] .....2
Plot the graph of both the line as shown below in the attached image. In this equation the solution is the point of intersection which is (-2,2).
Thus, the coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
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The distance between two cities on a map 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answers
Answer:
70 kilometers
Step-by-step explanation:
if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.
Help me
Circle describe and correct each error
2-4(-8+3x)=82
-2(-8+3x)=82
16-6x=82
-6x=66
X=-11
Answers
Answer:
First you have to multiply negative four in parentheses, then add minus two
-4×(-8+3x)=32-12x
2+32-12x=34-12x
34-12x=82
-12x=48
x=-4
Please answer the question
Answers
45/50
explanation:
If there are 50 numbers in a hat, and 5 of them are the number 10. 50 - 5 = 45 which means 45 of the numbers are not 10. Therefore the probability of not drawing 10 would be 45/50.
A linear model A. always predicts a straight line B. always predicts a curved line C. sometimes predicts a straight line and sometimes a curved line D. usually predicts a straight line
Answers
A linear model always represents a straight line which is x + y = c. Then the correct option is A.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A linear model is given as
x + y = c
In the linear model, the power of the variable is one and the equation represents on the graph as a line.
More about the linear system link is given below.
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Open the document theres my question plss help
Answers
Answer: 55°
Step-by-step explanation:
The angle is in between 50° and 60°
Answer:
55°
Step-by-step explanation:
One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°
PLEASE HELP I WILL MARK BRAINLIEST PLS IT IS URGENT
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed? Round to the nearest whole percent.
Answers
35 is 78% of 45
Sure hope this helps you
pls factorize
4(2x-3)(5x+2)=0
Answers
[tex]~~~~~~4(2x-3)(5x+2) = 0\\\\\implies (2x -3)(5x+2) = 0\\\\\implies 2x -3=0 ~~~~~~\text{or}~~~~~~ 5x +2 = 0\\\\\implies 2x =3 ~~~~~~~~~~~\text{or}~~~~~~ 5x = -2\\\\\implies x = \dfrac 32 ~~~~~~~~~~~~ \text{or}~~~~~~ x = -\dfrac 25\\\\\text{Hence,}~ x = \dfrac 32, ~ x = -\dfrac 25[/tex]
please i need someone to help me here
Answers
Answer:
See below ~
Step-by-step explanation:
No place where V has been marked∠EOF = 180° - 126° = 54°∠COE = ∠BOF = 126°∡CBF = 180°∡BCD = 54° + 63° = 117°∡BEF = 180° + 54° = 234°