Step-by-step explanation:
c = 12m - 17
m = 2
c = 12×2 - 17 = 24 - 17 = 7
m = 4
c = 12×4 - 17 = 48 - 17 = 31
m = 8
c = 12×8 - 17 = 96 - 17 = 79
what is 3 1/2 x 2 1/3
Answer:
8 1/6
Step-by-step explanation:
The product of fractions 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
To multiply mixed fractions like 3 1/2 and 2 1/3, follow these steps:
Step 1: Convert the mixed fractions into improper fractions.
3 1/2 = (3 × 2 + 1) / 2 = 7/2
2 1/3 = (2 × 3 + 1) / 3 = 7/3
Step 2: Multiply the numerators and denominators of the fractions.
(7/2) × (7/3) = (7 × 7) / (2 × 3) = 49/6
Step 3: Simplify the resulting fraction, if possible.
49/6 cannot be simplified further.
Therefore, 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
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Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
NEED HELP!!!!!!! ASAP!!!!!!
Answer:
5
Step-by-step explanation:
base length = 2a/h -b
find x
y=\frac{1}{4} x+3
Work Shown:
[tex]\text{y} = \frac{1}{4}\text{x}+3\\\\\text{y}-3 = \frac{1}{4}\text{x}\\\\\frac{1}{4}\text{x}=\text{y}-3\\\\\text{x}=4(\text{y}-3)\\\\\text{x}=4\text{y}-12\\\\[/tex]
Exam Questions
James finds a hotel to book for 6 nights in Cape Town.
The hotel has an offer for the time they will be staying,
Special Offer
4 nights for the price of 3
Double room
2170 South African Rand per night
James books one double room for 6 nights.
At the time of booking he pays a deposit of 15% of the total cost
He will pay the rest of the total cost when they arrive at the hotel.
(a) How much will James have to pay when they arrive at the hotel?
Answer:chciken
Step-by-step explanation:
There are three modes of transporting material from New York to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway, 5% by rail, 6% by sea, and 2% by air. (a) What percentage of all cargos may be expected to be damaged
Answer:
5.7%
Step-by-step explanation:
% Prob (Land) = Half ie 50% ; % Prob (Sea) = 30%
% Prob (Air) = Remaining ie 100% - 50% - 30% = 20%
Prob (Land highway) = 40% of land = 40% of 50% = 20%
Prob (Land rail) = remaining ie 60% of land = 60% of 50% = 30%
Pr (Damage by Land) = 10% of rail + 5% of rail = 10% of 20% + 5% of 30% = 2% + 1.5% = 3.5%
Prob (Damage by Sea) = 6% of sea = 6% of 30% = 1.8%
Prob (Damage by Air) = 2% of air = 2% of 20% = 0.4%
Total Prob (Damage) = 3.5% + 1.8% + 0.4%
= 5.7%
What is the greatest common factor of 20 and 65
Answer:
5
Step-by-step explanation:
Answer:I believe it would be 5
Step-by-step explanation:
because if you do it on a table chart you reach five first as the same number
jakie pole ma prostokąt o wymiarach 50cm x 16dm?
Solution
16 dm=160 cm
50 cm* 160 cm= 8000 cm²= 0,8 m²
odp C
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer:
The three statements that are always true regarding this diagram are:
m∠3 + m∠4 + m∠5 = 180°
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠3 = m∠6
Here's why:
The sum of the measures of the interior angles of a triangle is always 180°. Therefore, m∠2 + m∠3 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠4 = m∠2 + m∠5, and m∠3 + m∠4 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠6 = m∠2 + m∠3.
The other two statements are not always true. For example, if m∠5 = 100° and m∠3 = 80°, then m∠5 + m∠3 = 180°, but m∠4 ≠ 0°. Similarly, if m∠5 = 100° and m∠6 = 80°, then m∠5 + m∠6 ≠ 180°.
Step-by-step explanation:
The vertex form of the equation of a parabola is y = 7(x-3)2 + 4. What is the standard form of the equation?
A. y = 7x2 - 42x+67
B. y = 7x2 - 6x + 22
C. y = 14x2 - 6x + 22
D. y = 14x2 - 12x + 44
Answer:
the standard form of the equation is: a. y=7x^2-42x+67
A spinner at the fair has 5 sections. The sections are numbered 10, 20, 30, 40, and 50. During the first hour, players spun the spinner 200 times. The results are shown in the table below. Results for the First Hour Spinner Number Number of Times Spun 50 10 40 20 30 40 20 50 10 80 During the last hour of the fair, the arrow on the spinner was spun 50 times. Based on information from the table, what number is the most reasonable prediction of the number of times the arrow stopped on 30?
Answer:
im guessing 30 or 40
Step-by-step explanation:
The value of a brand new car is \$25,000$25,000 and the value depreciates 17% every year. Write a function to represent the value of the car after tt years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.
Answer:
25,000 - .17t
Step-by-step explanation:
I don’t under this pls help thank you
Answer: 8%
Step-by-step explanation:
100 points please answer
The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C
What are trigonometric identities?Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.
These involve certain functions of one, two or more angles.
They also are different from triangle identities, which involves angles and side lengths of a triangle.
To verify a trigonometric identity, we take the following steps;
Convert the equalities to terms of sine and cosine.Solve the identities at possible timesThen, simplify the left-hand side of the equation, before simplifying the right-hand side.Hence, the best option is C
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HELPPPPPPPPPPPPPPPPPPPPPPP
30
I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP
Step-by-step explanation:
Is it +30 or - 30
If it was -ve under root it will be complex or imaginary number but it is a easy question
value of y please help me
round to the nearest ten
Answer:
A
Step-by-step explanation:
The given dimensions:
Height = 12 in
Radius = 9 in
Recall the cylinder volume formula: [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Using the dimensions stated above, plug in the values into the formula
[tex]V=\pi 9^212\\9^2=81\\81\pi =254.4690049\\254.4690049*12=3053.628059\\V=3053.628059[/tex]
Finally, round answer to the nearest tenth
Your answer would be A.3053.6
Need emergency help and want correct answers with explanation
Answer:
250 degrees
Step-by-step explanation:
The arc intercepted by the angle formed by a secant and a tangent is twice the measure of the angle. See the attached image. The intercepted arc measures 110 degrees.
x is the measure of the rest of the circle, so it is 360 - 110 = 250 degrees.
what is the greatest common factor of 30b^2, 80b^, 20b^3?
Answer:
10b^2
Step-by-step explanation:
30b^2: 5 * 2 * 3 * b^2
80b^2: 5 * 2 * 2 * 2 *2 * b^2
20b^3: 5 * 2 * 2 * b^2 * b
The highest common factor is in bold script. It is 10b^2
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
75
Step-by-step explanation:
Answer:
75 km
Step-by-step explanation:
Use the Pythagorean Theorem
c² = a² + b²
c² = = 72² + 21²
c² = 5,184 + 441
c² = 5,625
Take the square root of both sides
c = 75 km
Write the ratio for Tan M.
Answer:
Step-by-step explanation:
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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Two piggy banks have a sum of $36.50. The first piggy bank has $13.75. How much does the second piggy bank have in it?
Answer:
22.75
Step-by-step explanation:
ur welcome hOWdAy
Part A
Open the angle translation application. The right angle is a translation 7 units right of the left angle. Drag the left angle and try to move it onto the right angle. Are the angles the same? What does this mean about how angles change when you translate them?
Part B
Open the angle rotation application. The right angle is a 90° clockwise rotation of the left angle. Click the 90° clockwise button. Are the angles the same? What does this mean about how angles change when you rotate them?
Part C
Open the angle reflection application. The top angle is a reflection across the x-axis of the bottom angle. Click the reflection over x-axis button. Are the angles the same? What does this mean about how angles change when you reflect them?
Part D
Open the parallel lines translation application. The right set of parallel lines is a translation right 10 units of the left set of parallel lines. Drag the left set of parallel lines and try to move them onto the right set. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you translate them?
Part E
Open the parallel lines rotation application. The right set of parallel lines is a 90° rotation counterclockwise of the left set of parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you rotate them?
The following question is about the Translation of Angles and Parallel lines. See a detailed answer below.
What is Angle Translation?In geometry, when you translate an object, it means that you have turned that object in a different direction. Hence a translated angle is an angle that has been turned in a different direction.
From the first option in part A, it is clear from the image that the angle didn't change. It moves 7 units from the positive to the negative part of the x-axis. From Part B, the angles also do not change. Note that when an angle is rotated or translated, it does not modify the angles.From Part C, what we have is the reflection of the angles. This means that both angles are equal because they are a reflection of each other.From Part D, the two sets of parallel lines will remain parallel to each other also long as they are both translated as the same time.From part E, although in each set of parallel lines, the two sets of lines remain equidistant to each other, the parallel line that is at an angle to the Y-axis will not intersect that which is at an angle to the x-axis if they are extended infinitely.Learn more about Angle Translation at:
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calculate the surface area
help plsss
Only answer question 2
75 yd
40 yd
What is the length of the hypotenuse.
Help
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2
what is probability ?Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.
given
In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.
The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.
Orange marble selection has a 0.33 experimental probability.
12 over 60 is the experimental probability of landing on a number smaller than 2.
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8. Each day, Amy walks to school. She leaves her home
and walks south 7 blocks to her friend's house. They then
turn to the west and walk 12 blocks to the school. At the
end of the day, Amy walks directly from the school to
her home.
a) To the nearest tenth (one decimal place), how many
blocks does Amy walk on her way home?
<+
-10
-10
Home s
-5
Friend's house
-5
-10
5
10
School
S
b) How many blocks does Amy walk in one day for her round trip to the school and back
home? Round to the nearest tenth.
Answer:
(a) 13.9 blocks (nearest tenth)
(b) 32.9 blocks (nearest tenth)
Step-by-step explanation:
The given scenario can be modeled as a right triangle.
If Amy walks south 7 blocks, one leg of the triangle is 7.
If Amy then walks west 12 blocks, the other leg of the triangle is 12.
Part (a)To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):
[tex]\implies 7^2+12^2=c^2[/tex]
[tex]\implies 49+144=c^2[/tex]
[tex]\implies 193=c^2[/tex]
[tex]\implies c=\sqrt{193}[/tex]
[tex]\implies c=13.8924439894...[/tex]
Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.
Part (b)To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:
[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]
Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.
what does a duck say
Answer:
theres three possible answers, they either QUACK, HONK, or hum
Step-by-step explanation: