Answer:
The town received approximately 44.29 inches of rain during a 31−day month.
Step-by-step explanation:
Given;
The amount of rain for two weeks = 20 inches.
For finding amount of rain for 31 days, we use the unitary method.
∵ Amount of rain for 14 days = [tex]20\ inches[/tex]
∴ Amount of rain for 1 day = [tex]\frac{20\ inches}{14}[/tex]
∴ Amount of rain for 31 day = [tex]\frac{20\ inches}{14}\times31=\frac{620}{14}\ in=44.285\approx 44.29\ in[/tex]
Hence the amount of rain the town received is 44.29 inches approximately.
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Which scenario could be represented by this graph?
O
A. Jane lights a candle. The x-axis represents time; the y-axis
represents the height of the candle.
O
B. Jane lights a candle. After 15 minutes, she puts it out. Half an
hour later, she lights it again. The x-axis represents time; the yaxis
represents the height of the candle.
O
C. Jane steadily fills a cup of water, stopping when it is almost full.
The x-axis represents time; the yaxis represents the amount of
water.
O
D. Jane steadily fills a cup of water. After 15 minutes, she dumps it
out. The x-axis represents time; the yaxis represents the amount
of water.
Without the actual graph, it's difficult to precisely match it to the given scenarios. If the graph shows a continuous increase or decrease, it could correspond to options A or C. If the graph displays changes with distinct intervals, it might match with options B or D.
Explanation:To answer your question about which scenario could be represented by the graph, we need more specific information about the graph. Without the visual graph and only with the given information, it's somewhat complicated to identify an exact match. However, some general presumptions can be made.
If the graph shows a continuous decrease or increase, it could be option A or C. These scenarios talk about a steady decrease (candle-burning) or increase (filling a cup), suggested by the x-axis representing time and y-axis representing a value that changes consistently (height of the candle or amount of water).
However, if the graph shows changes with significant intervals, it could be option B or D. These scenarios show an event that takes place, stops for a while (represented by a straight line on the graph), and then resumes or has an opposite effect ( candle being lighted again, or water being dumped). In all scenarios, the x-axis represents time, while the y-axis represents the scenario's varying condition, whether it's the height of a candle or amount of water.
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A conviniénce store sells two brands of orange juice .brand a contains 11 fluid ounces and costs 2.31 brand b contains 15 fluid ounces and costs 2.70
Answer:
Brand has less mass or fluids than b does and since b has greater fluid it will cost more then the smaller brand
Answer:
Brand has less mass
Step-by-step explanation:
use inverse operations to solve equation 15=x/6-1
Answer:
x=90.
Step by step explanation:
To solve the expression [tex]15=\frac{x}{6}-1[/tex], and obtaining a value for x we can do the following:
Add 1 both sides of the equation. This will result in [tex]15+1=\frac{x}{6}-1+1[/tex]⇒[tex]16=\frac{x}{6}[/tex].Multiply both sides by 6, which yields [tex]15\times6=\frac{x}{6}\times6[/tex]. This results in [tex]90=x[/tex].simplify: (5x+3y)-(2x-7y)+8x
Answer:
11x + 10y
Step-by-step explanation:
(5x + 3y) - (2x - 7y) + 8x
• Remove the parentheses:
5x + 3y - 2x + 7y + 8x
• Collect like terms:
(5x - 2x + 8x) + (3y + 7y)
• Simplify:
11x + 10y
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There are 12 girls and 8 boys in a class.
What is the ratio of girls to the total students
in the class?
a. 2:3
b. 3:2
C. 2:5
d. 3:5
Students, drew anywhere on this sider
I am pretty positive that it is b...
how do i put this in slope-intercept form. passes through 2,-2 and 4,-1
Answer:
[tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (2, -2) and (4, -1).
Substitute:
[tex]m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}[/tex]
Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:
[tex]-2=\dfrac{1}{2}(2)+b[/tex]
[tex]-2=1+b[/tex] subtract 1 from both sides
[tex]-3=b\to b=-3[/tex]
Finally:
[tex]y=\dfrac{1}{2}x-3[/tex]
Can you find the solution to the following system of linear equations. −4x+14y=−16 x−7/2y=4
Answer:
Infinitely many solutions.
Step-by-step explanation:
-4x+14y=-16
x-7/2y=4
------------------
-4x+14y=-16
4(x-7/2y)=4(4)
----------------------
-4x+14y=-16
4x-14y=16
---------------------
Infinitely many solutions
Solve x=4 (.34x + 1.4)
on a number line, what is x-4<-3?
Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
Last year, Ariq made a 6-1 cup servings of soup for a party this year he will make 8 times the amount of soup that he made last year how many gallons of soup will he make this year?
Answer:
3 gallons
Step-by-step explanation:
Last year, Ariq made a 6 1-cup servings of soup for a party.
This year he will make 8 times the amount of soup that he made last year, so he will make
[tex]8\cdot 6=48[/tex] 1-cup servings of soup.
In total, 48 cups of soup.
Note that
1 gallon = 16 cups,
then
48 cups is equal to
[tex]48 :16=3[/tex] gallons
Answer:
The number of gallons of soup will he make this year is 3 gallons
Explanation:
No of 1 cup servings made by Ariq last year = 6
Suppose last year he made x 1 cup servings
Hence this year he will make 8x, 1 cup servings
Since last year he made 6, 1 cup serving
Therefore
This year 8x, 1 cup servings
= 8×6
=48, 1 cup servings
Now
1 gallon of soup=16 cups
Therefore
48 cup servings will be
=[tex]\frac{48}{16}[/tex]= 3 gallons
The number of gallons of soup will he make this year is 3 gallons
7 5/6 ÷ 2 2/3=
Need to know steps to get answer.
Answer:
47/16
Step-by-step explanation:
7 5/6=47/6
2 2/3=8/3
-----------------
(47/6)/(8/3)=(47/6)(3/8)=(47/2)(1/8)=47/16
Gail bought 80 buttons to put on the shirts she makes. She uses 5 buttons for each shirt. How many shirts can Gail make with the buttons she bought?
Jared is taking diving lessons and starts 20 feet below sea level. He then dives down another 10 feet. From there, he goes up 15 feet. Which equation shows Jared’s a current level?
Answer:
-20 + (-10) + 15 = -15
Step-by-step explanation:
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume 5 lbs.
a.
C = 9.7w + 0.46
c.
C = 0.46w + 9.7
b.
C = 0.46w + 12
d.
C = 0.46(w - 5) + 9.7
Answer is D
Answer:
Option(d)
C = 0.46(w - 5) + 9.7
Explanation:
We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.
The equation for total cost C for given total weight w can be written by
sum of fixed value and every 5 extra lbs
which can be represented by the equation
C= 0.46(w-5) + 97.
Hence, this represents a linear model for the given data.
Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Alexander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made
Answer:
2 three points shots and 4 two points shots
Step-by-step explanation:
Let x be the number of three points shots.
Alexander made twice as many two points shots as three points shots, so the number of two points shots is 2x.
Amount earned in three points shots [tex]=3\cdot x[/tex]
Amount earned in two points shots [tex]=2\cdot (2x)=4x[/tex]
Total score [tex]=3x+4x=7x[/tex]
Alexander scores a total of 14 points, then
[tex]7x=14\\ \\x=2\\ \\2x=2\cdot 2=4[/tex]
Evaluate 252.7 - 19.
Answer: 233.7
Step-by-step explanation:
The equation of the line with slope – 4 that goes through the point (6,-4) can be written in
the form y = mx + b where m is:
and b is:
Answer:
m is= -4
and b is also -4 bc it croses through -4 at at the y axis and -4 is the slope
Step-by-step explanation:
put the numbers in order from least to greatest -1/4,6/10".625,-.5
Answer:
-0.5, -0.25, 0.6, 0.625
Step-by-step explanation:
-1/4=-0.25
6/10=3/5=0.6
--------------------
The vertex form of f(x)=x^2-6x+5 is f(x)=a(x-h)^2+k. What are the values of a,h, and k?
Answer:
a = 1
h = 3
k = -4
Step-by-step explanation:
To convert this standard form equation to vertex form, use complete the square.
f(x) = x² - 6x + 5
f(x) = (x² - 6x) + 5 <=group ax² and bx, factor out if needed, not in this case.
add and subtract (middle term/2)²
f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5 <=adding and subtracting the same number is like adding 0
f(x) = (x² - 6x + 9 - 9) + 5 <=simplify
f(x) = (x² - 6x + 9) -9 + 5 <=take out the negative constant
f(x) = (x - 3)² - 4 <=perfect square rule in brackets, simplify outside
a = 1 <= Nothing needed to be factored out from ax² and bx.
h = 3 <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".
k = -4
Angel buys 6pumpkins for thanksgiving. He wants to make roasted pumpkin seeds. He realize that each pumpkin has about 756 seeds inside of its cavity. Each member of his family will eat one pumpkin. About how many roasted pumpkin seeds will he have in all?
What do I need to find?
What information do I need to use?
What information do you NOT need to use?
How will I use the information?
Answer:
There are pumpkin 756 seeds in all.
Step-by-step explanation:
Given:
Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.
Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:
There are total 6 pumpkins.
In 1 pumpkin it has 756 seeds.
So, in 6 pumpkins there are = [tex]756\times 6[/tex]
= [tex]4536[/tex].
Therefore, there are pumpkin 756 seeds in all.
The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.
Angel has 6 pumpkins, and each pumpkin has about 756 seeds.
Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.
Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.
10) 5x – 8y= 1
y=-2
What are the answer
Answer:
x=-3
Step-by-step explanation:
5x-8y=1
5x-8(-2)=1
5x+16=1
5x=1-16
5x=-15
x=-15/5
x=-3
The temperature in Greenland is -8.3°C. The temperature in Jamaica is 30°C. What is the difference between the temperatures in the two countries?
A.21.7°C
C.25°C
B.-21°C
D.38.3°C
Answer:
The difference between the temperatures in the two countries is 38.3°C.
Step-by-step explanation:
Given:
Temperature in Greenland = - 8.3°C
Temperature in Jamaica = 30°C
To find :
The difference between the temperature in the two countries = ?
[tex]\textrm{difference between the temperature in the two countries} =\textrm{temperature in Jamaica} - \textrm{temperature in Greenland}\\= 30 - (-8.3)\\= 30 +8.3\\= 38.3\°C[/tex]
Therefore,the difference between the temperatures in the two countries is 38.3°C
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −5x2 − 9x + 12 = 0
A: a = −9, b = 12, c = 0
B: a = −5, b = −9, c = 12
C:a = 5, b = 9, c = 12
D:a = 9, b = 12, c = 0
Answer:
So, the answer is option B: a = −5, b = −9, c = 12
Step-by-step explanation:
The general form of the quadratic Formula is ax² + bx + c = 0
We need to compare the given quadratic equation to the general form
ax² + bx + c = 0
−5x² − 9x + 12 = 0
So, we can deduce that
a = -5 , b = -9 and c = 12
So, the answer is option B: a = −5, b = −9, c = 12
✨Answer✨
B) a = −5, b = −9, c = 12~✨Keep dreaming! ✨~
How to I solve this by graphing?5x2 + 8x – 13 = 0
To solve the equation by graphing, plot the quadratic function on a graph and determine the x-values where it intersects the x-axis.
Explanation:To solve the equation 5x² + 8x - 13 = 0 by graphing, you can plot the quadratic function on a graph and determine where it intersects the x-axis. The x-values at the points of intersection will be the solutions to the equation.
Write the equation in the form y = 5x² + 8x - 13.Plot the graph of the equation by selecting different values of x and calculating corresponding y-values.Find the x-values where the graph intersects the x-axis. These are the solutions to the equation.The solutions to the equation 5x² + 8x - 13 = 0 can be found by graphing.
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Brass costs $0.90 per pound, copper costs $2.15 per pound, and aluminium costs $0.75 per pound. Which medal would you recommend be for, for use as a heat sink in the tablet?
I have 7/8 of a gallon of juice and i give 1/2 away how much would i have left please show the work
If (-1, y) lies on the graph of y = 22x, then y =
Answer:
y=-22
Step-by-step explanation:
y=22x at (-1, y)
y=22(-1)=-22
Answer:
y=-4
Step-by-step explanation:
I really need help with this answer
Answer:
The given two triangles are not congruent.
Step-by-step explanation:
See the diagram of the two triangles attached to this question.
The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}
Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.
Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.
So, the given two triangles are not congruent. (Answer)
what is the volume of a brick that is 20.3 cm long, 8.9 cm wide, and 5.7 cm high?
Answer:
1029.819
Step-by-step explanation:
20.3 * 8.9 * 5.7 = 1029.819
Answer: 1,029.819 cm³
Step-by-step explanation: In this problem, we're asked to find the volume of a brick. To find the volume of a brick, we use the formula for the volume of a rectangular prism.
To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.
Volume = length × width × height
Since the brick has a length of 20.3 centimeters, a width of 8.9 centimeters, and a height of 5.7 centimeters, we can plug this information into the formula.
Volume = (20.3 cm) (8.9 cm) (5.7 cm)
Volume = 1,029.819
Therefore, the volume of the brick is 1,029.819 cm³.
Also, it's important to understand that we can plug any number in for the length width or height as long as it's one of the numbers given and it's not used more than once.
This is because the commutative property of multiplication tells us that changing the order of the factors doesn't change the product.
rita finished her chemistry assignment in 7/8 hours. Then she completed her math assignment in 1/4 hours. How much more time did rita spend on her chemistry assignment
Answer:
Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.
Step-by-step explanation:
Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]
Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]
∴ Fraction of hour Rita spent more on her chemistry assignment than math assignment
⇒ [tex]\frac{7}{8}-\frac{1}{4}[/tex]
To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8
To make the denominators same we need to multiply numerator and denominator of second fraction with 2.
⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]
⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]
After making the denominators common, we simply subtract numerators.
⇒ [tex]\frac{7-2}{8}[/tex]
⇒ [tex]\frac{5}{8}[/tex]
Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.