Answer:
y < -5
Step-by-step explanation:
The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!
-2y > 10
y < -5
Sara can finish 5 laps around the track in 6 minutes. What is her average speed in miles per hour, if it takes 12 laps around the track to run a mile?
9514 1404 393
Answer:
4 1/6 miles per hour
Step-by-step explanation:
6 minutes is 1/10 hour, so Sara's speed is ...
speed = distance/time
speed = (5/12 mi)/(1/10 h) = 50/12 mi/h
speed = 4 1/6 mi/h
Sara's speed is 4 1/6 miles per hour.
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
19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.
Answer:
The ratio of the number of quarters to the number of dimes in the box is 9:10
Step-by-step explanation:
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
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.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
if the radius of the base is 2 cm and the height is 24cm what is the volume?
Find Y
Special right triangles
Please last question of the day!! Due very soon please help!!!
Answer:
[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]
Answer:
y= √2
Step-by-step explanation:
sin 30°= y/2√2
1/2= y/2√2
y=√2
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
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ1
What is the value of sin(7pi/4)? See attached.
Answer:
-sqrt(2)/2 , the last option of your document.
Step-by-step explanation:
sin(7pi/4) = -sin(7pi/4 - pi)
= -sin(7pi/4 - 4pi/4)
= - sin(3pi/4)
sin(3pi/4) is a special angle , which is sqrt(2)/2
Hence, sin(7pi/4) = -sin(3pi/4)
= -sqrt(2)/2
Answer:
-sqrt(2)/2
Step-by-step explanation:
did the test
6) This weekend, Eric makes sandwiches for 5 hours and delivers orders for
4 hours. How much money does he save?
6) Eric saves $
this weekend.
Answer:
$53
Step-by-step explanation:
You can just substitute the values in the equation
The amount Eric saves this weekend is $53.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
Sandwiches= $10
Order delivery= %14
Now,
To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:
1/2(10s + 14d)
= 1/2(10(5) + 14(4))
= 1/2(50 + 56)
= 1/2(106)
= 53
Therefore, by the expression the answer will be $53.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
PLEASE help test due !!!!
Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
If you are happy with my answers, please give brainliest :)
Can anyone help me fill in the other blanks
On solving the problem we got that, 17yds and 11yds are its length and width
What does perimeter mean?The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.
length =L
width = W
length is 6 yd longer than its width,
L = 6 + W
perimeter is 56yds:
[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]
To know more about perimeter visit:
brainly.com/question/6465134
#SPJ1
8. Each day, Amy walks to school. She leaves her home
and walks south 7 blocks to her friend's house. They then
turn to the west and walk 12 blocks to the school. At the
end of the day, Amy walks directly from the school to
her home.
a) To the nearest tenth (one decimal place), how many
blocks does Amy walk on her way home?
<+
-10
-10
Home s
-5
Friend's house
-5
-10
5
10
School
S
b) How many blocks does Amy walk in one day for her round trip to the school and back
home? Round to the nearest tenth.
Answer:
(a) 13.9 blocks (nearest tenth)
(b) 32.9 blocks (nearest tenth)
Step-by-step explanation:
The given scenario can be modeled as a right triangle.
If Amy walks south 7 blocks, one leg of the triangle is 7.
If Amy then walks west 12 blocks, the other leg of the triangle is 12.
Part (a)To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$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.
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
Learn more about trigonometric identities here:
https://brainly.com/question/7331447
#SPJ1
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
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.
Only answer question 2
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:
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
Show instructions
Question 1 (1 point)
The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area of
the rectangular prism?
15 cm
28 cm
34 cm
A 1,904 cm
B 1,860 cm?
C 3,764 cm?
D 14,280 cm?
shdudbdhxbdhxbsbdyshs
Answer:
C 3674cm²
Step-by-step explanation:
1) (34×15)×2= 510×2= 1020cm²
2) (28×15)×2= 420×2= 840cm²
3) (34×28)×2= 952×2= 1904cm²
4) Total of all areas (surface area): 1020+840+1904= 3764cm²
Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140
On solving the provided question, we can say that on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
so, on matching the expressions are
100X 14 = 1400
14(10) = 140
361 . 100 = 36100
100(361) = 36100
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
what does a duck say
Answer:
theres three possible answers, they either QUACK, HONK, or hum
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%
I don’t under this pls help thank you
Answer: 8%
Step-by-step explanation:
the instructions are on the image please help me and please hurry!
The elements in matrix X is attached below
What is MatrixMatrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.
In this problem, we can easily find x by reversing the variables and solve.
A - X = B
X = A - B
The elements in the matrix can be solved easily using an online calculator.
The value of x is attached below
Learn on matrix here;
https://brainly.com/question/1279486
#SPJ1
please help with geometry proof
Answer:
a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too
Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8
Answer:
The question is not detailed enough
Answer:
In step 2, Nathan did not simplify 5x - 3x correctly.
Step-by-step explanation:
In step 2, Nathan was one number off the correct simplification.
Write the ratio for Tan M.
Answer:
Step-by-step explanation: