Answer:
B; 14 cents/1 ounce
Step-by-step explanation:
So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.
So you do 140/10
That equals out to 14/1
So it is 14 cents/1 ounce.
Hope this helps!!! :)
Helppp it’s due tomorrow
……..
By using a trigonometric relation we will see that FD = 32, the correct option is C.
How to find the length FD?We can see a right triangle, such that FD is the hypotenuse.
We also know one angle of this triangle, and the adjacent cathetus to that angle.
Now remember the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing the values we know we get:
cos(30°) = 28/hypotenuse
Solving the equation for the hypotenuse we get:
hypotenuse = 28/cos(30°) = 32.3
Rounding to the next whole number we get FD = 32
The correct option is C.
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Huilan is 11 years older than Thomas. The sum of their ages is 61. What is Thomas's age?
Answer:
25
Step-by-step explanation:
Let the age of Thomas be x.
Huilan is 11 years older than Thomas,
Huilan = x + 11
The sum of their ages is 61.
x + x + 11 = 61
2x + 11 = 61
2x = 61 - 11
2x = 50
x = 50/2
x = 25
Hence,
Thomas's age is 25.
Line x is the perpendicular bisector of segment ZY
what does b=
Based on the definition of perpendicular bisector, the value of b = 5.
What is a Perpendicular Bisector?A perpendicular bisector can be described as any line that bisects another line segment at right angles.
This means, the measure of the angles at the point of bisection are right angles (90 degrees).
Therefore:
12b + 30 = 90 [definition of perpendicular bisector]
Solve for b
12b + 30 - 30 = 90 - 30
12b = 60
Divide both sides by 12
12b/12 = 60/12
b = 5
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b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?
Based on the figures that we are provided, we can see that Kadisha has walked 10 miles already and is yet to walk 14 miles.
How can the total distance walked by Kadish be obtained?The total distance Kadisha has to walk is 24 miles
The distance she has walked is represented in the ratio as 5
The distance she has left to work is 7
5x + 7x = 24
12x = 24
x = 2
Therefore, the distance that Kadisha has walked is
5 × 2 = 10 miles
The distance she is yet to walk is
7 × 2 =14 miles
When represented as a ratio, 10/14 is the same as 5/7, so the answer is proven to be correct.
Complete Question:
A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail. a. The first rest area is located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail? b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?
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Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5, but y = 9. B) If x = 5, then 2x = 10. C) x = 5, and 2x ≠ 8. D) x = 5 if and only if y = 9.
The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.
What is equivalent value?An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.
From the question, the expression P--> Q means that P = Q.
The statement that shows that a value is equivalent to the other;
x = 5, then 2x = 10
That is, X = 5 can also be written as follows;
2x = 10.
This is because, when 2x = 10 is simplified, X = 10/2 =5
Therefore, P =Q because both shears the same value and can be said to be equivalents.
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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
The expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
What is Pascal's Triangle?The triangle-shaped array of integers known as Pascal's triangle has one at the top and one on each of its two sides. Every new number has a value equal to the sum of the two numbers above it and is located between two other numbers and underneath them. Pascal's triangle is a triangular array of binomial coefficients that appears in algebra, combinatorics, and probability theory.In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)ⁿ. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.So, the expression is:
(3x-4y)¹¹Now, use Pascal's Triangle to expand as follows:
(Refer table attached below for expansion)Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
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Which of the terms below correctly describe(s) the number 40?
A-irrational
B-real
C-inter
D-imaginary
E-rational
F-natural
For each ordered pair, determine whether it is a solution to the system of equations.
-3x+2y=5
y=8x-4
(x, y)
(0, -4)
(-3,5)
(1,4)
(-7, - 8)
Is it a solution?
Yes
O
O
O
No
O
X
Ś
An ordered pair which is a solution to the given system of linear equations is: (1, 4).
How to determine the solution?In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (0, -4), we have:
-3x + 2y = 5
-3(0) + 2(-4) = 5
0 - 8 = 5
-8 = 5 (No)
For ordered pair (-3, 5), we have:
-3x + 2y = 5
-3(-3) + 2(5) = 5
9 + 10 = 5
19 = 5 (No)
For ordered pair (1, 4), we have:
-3x + 2y = 5
-3(1) + 2(4) = 5
-3 + 8 = 5
5 = 5 (Yes)
For ordered pair (1, 4), we have:
y = 8x - 4
4 = 8(1) - 4
4 = 4 (Yes).
For ordered pair (-7, -8), we have:
-3x + 2y = 5
-3(-7) + 2(-8) = 5
21 - 16 = 5
5 = 5 (Yes)
For ordered pair (-7, -8), we have:
y = 8x - 4
-8 = 8(-7) - 4
-8 = -58 (No).
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A 2-column table with 9 rows. The first column is labeled year with entries 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013. The second column is labeled precipitation with entries 5.98, 6.05, 7.59, 5.27, 3.11, 7.18, 2.95, 7.22, 2.61. The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of precipitation during this time? Round to the nearest hundredth. 1.97 inches 2.61 inches 5.33 inches 5.98 inches
Answer:
5.33 inches
Step-by-step explanation:
Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):
[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]
[tex]47.96\div{9}\approx{5.33}[/tex]
write an expression using division that could be used to find the width of the rectangle
The expression used to find the width using division is:
W = A/L
Which expression can be used to find the width?We know that for a rectangle of width W and length L, we know that the area is given by the product between these two dimensions, then:
A = L*W
We want a expression using division that can be used to find the width, so, suppose we know the values of the area and the length, the we can divide both sides by L to get:
A/L = W
This expression gives the width.
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Keiko tracks the change in outside
one afternoon. She records
temperature
a temperature of 85.4°F at noon. The
temperature rises 3.85°F over the
next 4 hours. At 5:00 PM, Keiko records
a temperature of 89.25°F. How does the
temperature change between
4:00 PM
and 5:00 PM?
Answer:
no change
Step-by-step explanation:
Given a temperature rise of 3.85 °F over 4 hours after noon, when the temperature is 85.4 °F, you want to know the change between 4 pm and 5 pm if the temperature at 5 pm is 89.25 °F.
Temperature at 4The temperature at 4 pm is the sum of the noon temperature and the change in the 4 hours after noon:
85.4 °F + 3.85 °F = 89.25 °F
Change after 4The change from 4 pm to 5 pm is the difference between the 5 pm temperature and the 4 pm temperature:
82.25 °F -89.25 °F = 0 °F
There is no change in the temperature between 4 pm and 5 pm.
tenths hundreths thousands
1. 67.925
2. 182.0051
3. 39.1432
4. 85. 0267
5. 97.7352
Answer:
Step-by-step explanation:
1) sixty-seventh and nine hundred and twenty-five thousands
2)one-eighty two and fifty-one thousands
3)thirty-nine and thousand four thirty two thousands
4) eighty five and two sixty seven thousands
5) ninety seven and seven thousand and three-fifty two thousands
HELP WITH GEOMETRY PLEASE
It is angles please due in 12 minutes
The measure of angle ∠U = 73.5° in triangle UVW.
What is a triangle?A polygon having three vertices and three sides are called a triangle.
Triangles are closed, two-dimensional shapes with three sides, three angles, and three vertices. A triangle is a part of a polygon. In the picture above, Triangle ABC is visible. examples of triangles. Many commonplace items, including sandwiches, traffic signs, clothing hangers, and pool table racks, have triangles.
The line segment VW ≅ UV. That implies ∠U = ∠W.
Given that a triangle's angle measurements add up to 180,
∠U + ∠W + ∠V = 180°
∠U + ∠U + 159° = 180°
2 ∠U = 21°
∠U = 10.5°
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Amanda has 5 office assistants. If A is the event that at least 4 of them are men and B is the event that at least 4 of them are women, are A and B mutually exclusive?
Choose the correct answer below.
O No
Yes
A and B are mutually exclusive events
The correct answer is yes
What are mutually exclusive events?
Two events are mutually exclusive in statistics and probability theory if they cannot happen simultaneously. A coin toss is the most basic illustration of two events that cannot coexist. The result of tossing a coin can be either heads or tails, but neither outcome can happen at the same time.
We are given that Amanda has 5 office assistants.
Events A is the event that at least 4 of them are men. this means that there is at most 1 female assistant
Events B is the event that at least 4 of them are women. this means that there is at most 1 male assistant.
Now one of the conditions is possible but both at the same time is not possible
Hence the both events are mutually exclusive.
The correct answer is yes
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12. In APOR, it m/P is 14 less than five times.x, m/Q is five less than x, and mZR is nine less
than twice.x, findx and the measure of each angle.
x =
m/P =
m2Q=
m/R =
The value of x is 26.125°
The measures of each angle are as shown below:
∠P = 115.625°
∠Q =21.125°
∠R=43.25°
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
In ∆PQR
∠P is 14 less than five times x = 5x-15
∠Q is five less than x=x-5
∠R is nine less than twice x=2x-9
Angle sum property of triangle : The sum of all angles of triangle is 180°
So,5x-15+x-5+2x-9=180
8x-29=180
8x=180+29
x=( 180+29 )/8
x=26.125
So,∠P = 5x-15 =5(26.125)-15=115.625°
∠Q =x-5=26.125-5=21.125°
∠R=2x-9=2(26.125)-9=43.25°
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Jon can do 64 push-ups in 4 minutes. Paul can do 45 push-ups in 3 minutes. Whose rate is faster?
Answer:
John's rate is faster than Paul's Step-by-step explanation: John, 64 push-ups/4min = 16 push-ups per minute Paul,
:
matrix
urgent please fast
Answer:
-8, -5
Step-by-step explanation:
You want the second column of matrix B given matrices A and AB.
Matrix BMatrix B can be found by left-multiplying AB by A^-1, as shown in the attachment.
The second column of matrix B is ...
[tex]\left[\begin{array}{c}-8\\-5\end{array}\right][/tex]
Exponential test y =4
The function y = 4 is a straight line and not an exponential function.
Given, a function y = 4
now, we have to test the function is exponential or not
As, the function is a straight line graph i.e. y = 4.
Now, the function y = 4 is a straight line graph which is parallel to the x-axis.
So, the function y = 4 is not an exponential function
Hence, the function y = 4 is a straight line and not an exponential function.
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HELPPP PLEASE FOR BRIANLEST??
Answer:
[tex]-9,-18,-27,-36[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]-9[/tex] and the common difference is [tex]-9[/tex], then each successive term in the sequence is [tex]9[/tex] less than the previous term:
[tex]a_n=-9n[/tex]
Therefore, the first term is [tex]-9[/tex], followed by [tex]-18[/tex], [tex]-27[/tex], and [tex]-36[/tex].
Known that f(x)=2x-3. If the value of f(m) = 5 and f(-2) = n, then the value of m +n is...
Step-by-step explanation:
f(x) = 2x - 3
f(m) = 5
that means
5 = 2m - 3
8 = 2m
m = 4
f(-2) = n
that means
n = 2×-2 - 3 = -4 - 3 = -7
so,
m + n = 4 + -7 = -3
Y =-3x + b solve for b
Answer:
b=3x+y
Step-by-step explanation:
y=-3x+b
get b by itself on one side
y+3x=b
The rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.
Rearranging an equation involves manipulating the terms and variables in order to isolate a specific variable or simplify the equation. The goal is to rewrite the equation in a different form while maintaining equality.
In the context of solving the equation [tex]Y = -3x + b[/tex] for b, rearranging the equation means moving the terms around so that b is isolated on one side of the equation. This is done by performing inverse operations on the equation.
Starting with [tex]Y = -3x + b[/tex], we want to isolate b. To do this, we need to move the [tex]-3x[/tex] term to the other side of the equation.
By subtracting [tex]-3x[/tex] from both sides, we can eliminate the -3x term on the right-hand side. The equation becomes [tex]Y - (-3x) = b[/tex].
Simplifying further, [tex]Y + 3x = b[/tex]. Now, b is isolated on one side of the equation.
Therefore, the rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.
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7 1
The equation y--(x-4) is written in point-slope form. What is the y-intercept of the equation?
11
02
2
92
O
32
Mark this and return
Save and Exit
Next
Submit
The y-intercept of the equation y = (x - 4) is -4
How to determine the y-intercept of the equation?From the question, we have the following equation that can be used in our computation:
y --(x - 4)
Rewrite the equation properly
So, we have the following representation
y = (x - 4)
To calculate the y-intercept, we set x to 0
So, we have the following representation
y = 0 - 4
Evaluate the difference
y = -4
Hence, the y-intercept is -4
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Please help me! Much needed ASAP!
The correct option regarding whether the linear functions are parallel is given as follows:
C. The slope of f(x) is of 2 and of g(x) is of 5. Since they are different, the lines are not parallel.
What are parallel linear functions?First, we start with the definition of a linear function, in slope-intercept format, which is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope of the function.b is the y-intercept of the function.If two linear functions are parallel, they have the same slope.
The slope is given by the change in y when x is increased by one, hence the slopes of the functions are given as follows:
Slope of f(x) = 2, as when x increases by one, y increased by 2.Slope of g(x) = 5, as when x increases by one, y increased by 5.Due to the different slopes, the two lines are not parallel, hence option C is correct.
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Find a point on the line only.
Answer:
Step-by-step explanation:
this is very complicated and i suggest you to go to einstin
Pls help i need the answer!:(
Answer:
12*(1/4+1/3)(1/4+1/3)+2/3= 12*(1/16+1/12+1/12+1/9)+2/3=12*(9/144+12/144+12/144+16/144)+2/3= 12*(49/144)+2/3=12*49/144+2/3= 49/12+2/3=49/12+8/12=57/12= 4*9/12=4* 3/4
Step-by-step explanation:
Jarrod lives 2 3/4 miles from the swimming pool. He walked 7/8 mile to the library. Then he walked 7/8 mile to the museum. How many more miles does Jarrod need to walk to reach the swimming pool?
Jarrod needs to walk 1 mile to reach the swimming pool
How to calculate the miles he needs to walk to reach the swimming pool?
Given that: He lives 2 3/4 miles from the swimming pool
He walked 7/8 mile to the library
Then he walked 7/8 mile to the museum
The concept we need here is the addition or subtraction of fractions
To determine the miles left, we need to subtract the miles he walked from the miles 2 3/4 miles (since that is the distance from where he lives to the swimming pool)
Thus:
Miles left = 2 3/4 - 7/8 - 7/8
= 11/4 - 7/8 -7/8 (Note: 2 3/4 = 11/4)
= 8/8 = 1
Therefore, he needs to walk 1 mile to reach the swimming pool
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Jacob and Ryan are plumbers. Jacob charges $50 call-
out fee and $70 per hour. Ryan charges $40 call-out fee
and $75 per hour.
Write an expression for the total cost in dollars that
each electrician charges if they work for h hours.
Jacob
Ryan
Answer:
Lets do Jacob's equation first :)
50$ for fee
70$ per hour (h)
Dollars = 70h + 50
Now lets do Ryan's :)
40$ for fee
75 per hour (h)
Dollars = 75h + 40
Have an amazing day!!
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Adaim has a goal to reach 70 miles. If he hikes 8 miles per day, how long will it take him to hike all 70 miles?
Need help with question 2b please
Answer:
20 mph
Step-by-step explanation:
If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.
36/12=3
60/3=20
20 mph
Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.
4 cm
20 cm
9 cm
cm
5 cm
6 cm
The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
What do you mean by prism?
A prism is a three-dimensional solid object with identical ends. It is a result of the elements of flat faces, identical bases, and equal cross-sections. The prism's faces are either parallelograms or rectangles without bases.The base of the triangular prime is a right triangle with legs 5 cm, 4 cm
∴ b = 5 cm and h = 4 cm
∵ Its height is 9 cm
∴ H = 9 cm
→ Substitute them in the rule of the prism above
∵ V = 1/2 * (5)(4) × 9
∴ V = 90 cm³
∵ The dimensions of the base of the cuboid are 6 cm and 5 cm
∴ L = 6 cm and W = 5 cm
∵ Its height is 20 cm
∴ H = 20 cm
→ Substitute them in the rule of the cuboid above
∵ V = 6 × 5 × 20
∴ V = 600 cm³
→ Find the ratio between them
∵ V: V = 90: 600
→ Divide each term of the ratio by 30 to simplify them
∴ V: V = 3: 20
∴ The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
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