Answer:
91
Step-by-step explanation:
We can let the length of the field be l. Then, 2l + 2(55)=292. 2(55)=110, so 2l+110=292, and 2l = 182, so l = 91.
please help me asap plz
Unit rate is the conversion of one unit to another unit with its standard conversion.
The width of the gymnasium in the blueprint is 4.75 inches.
What is unit conversion?Unit rate is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 100 m
1 m = 100 cm
1 feet = 12 inches
We have,
Gymnasium:
Length = 88 feet
Width = 76 feet ____(1)
Blueprint:
Gymnasium:
Length = 5.5 inches
This means,
88 feet = 5.5 inches
Divide both sides by 88.
1 feet = 0.0625 inches ____(2
The width of the gymnasium on the blueprint.
From (1) and (2)
76 feet
= 76 x 1 feet
= 76 x 0.0625 inches
= 4.75 inches.
Thus,
The width of the gymnasium in the blueprint is 4.75 inches.
Learn more about unit conversion here:
https://brainly.com/question/13899873
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A smoothie calls for of a peach, 8. of a banana, and a kiwi. What is the total quantity of fruits used for the smoothie
No of banana and kiwi = 8
So,
= 8×8
=64
Which table of values is defined by the function y = 5x + 4?
if f (x)=x^2-x-1, then f(-5)=
[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.
The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.
Answer:
50h+25.5=154
Step-by-step explanation:
5) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
Suppose you were given this table. Select all of the true statements.
x y
6 3
12 6
18 9
24 12
The ratio of x to y is the slope.
The ratio of y to x is the slope.
The equation of the graph is y = 2x.
The equation of the graph is y = 12
1\2x
Answer:
The ratio of y to x is the slope
The equation of the graph is y = 1/2x
Step-by-step explanation:
In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.
The total amount Y (in dollars) in your savings account after buying x video games is represented by y=70−10x . You have $40 in your account after buying video games. How many video games did you buy?
Answer:
330
Step-by-step explanation:
substitute x for 40 because that is how much you have in your account.
y= 70 - 10(40)
y = 70 - 400
y = 330
Therefore you bought 330 video games!!
Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)
Which of the following is the correct ratio for Sine?
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Tell whether a triangle can have sides with lengths 17, 20, and 4.
true or faulse
Answer:
True
Step-by-step explanation:
This is my last question I need help please
Answer:
.11
Step-by-step explanation:
it is correct
Answer:
A) $.11
Step-by-step explanation:
A dozen = 12
To find unit cost you divide cost of items by # of items
In this case we have 12 eggs that cost 1.35
So unit cost = 1.35 / 12 = .11
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answer:
E no is the correct answer
In which of the following numbers does the digit 2 represent tens? *
2517
342
720
518.2
Answer:
720
Step-by-step explanation:
The digit 2 is the second digit left of the decimal point in the number ...
720
_____
2517 --- 2 is in the thousands place
342 --- 2 is in the ones place
720 --- 2 is in the tens place
518.2 --- 2 is in the tenths place
Hey! Please help me ASAP
Answer:
-d+3.5≥4
Step-by-step explanation:
Just ask.
Hope this helps! :)
NO LINK HELP ASAP
what is the slope of the line that contains the points in the table? A. -10 B. 2 C. -5 D. 5
Answer:
C -5
Step-by-step explanation:
y2 - y1 / x2 - x1 Pick any 2 points
6 - 1 / -1 - 0
5 / -1
-5
A car factory made 41 cars. 20 of the cars had a sunroof. What is the ratio of the number of cars without a sunroof to the number of cars with a sunroof?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer:
21:20
Step-by-step explanation:
Since there are 20 cars with sunroof
Subtract 20 from 41
and you get 21 which are the cars with no sunroof
making it 21:20
Answer: 21 : 20
Step-by-step explanation: Since the factory made 41 cars and 20 of them had a sunroof that means x = 41 -20. So 41 - 20 = 21 cars without sunroof. They ask to put the ratio with cars without sunroof first then cars with a sunroof so it would be 21 : 20.
(x = cars without sunroof)
One electrician charges his customers a $60 service fee plus $35 per hour.
Another electrician charges her customers $65 per hour. How many hours must the
electricians work in order for the total cost of an eelectrician to be the same? What is
the total cost?
Answer:
2 hours; $130
Step-by-step explanation:
We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:
65 * x = 60 + 35* x
30 * x = 60
x = 2 hours
The cost will be the same at two hours, and plugging it in, we can get 65*2=130.
HELP!!!
42 is the product of 6 and y
Answer:
7
Step-by-step explanation:
Divide the 42 by 6 to get your answer. 42/6=7
This also works in reverse. 6*7=42
The answer: 42 is the product of 6 and y=7
Ok done. Thank to me :>
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
please help me guys .if 5+5=10an 10+10=20 whats does 20+20 equal
Answer:
20 + 20 = 40
Choose the best response to the question below:
When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:
3x x 2x = 6x
^2 + ^3 = ^5
Answer is a. 6x^5
4(2x-5) = 5x + 4
What is the answer? Please include step by step method.
Answer:
x=8
Step-by-step explanation:
4(2x-5) = 5x + 4
First, use distributive property for the first part of the equation:
8x - 20 = 5x + 4
Then, move everything to the left of the equation:
Remember, when you move something over an equals sign, the sign in front of the number changes.
8x - 20 - 5x - 4 = 0
Then, combine the like terms:
3x - 24 = 0
Move the -24 to the other side of the equation:
3x = 24
Finally, divide both sides by 3 to isolate the x.
3x/3 = 24/3
3 cancels out on the first half.
x = 24/3
x = 8
Hope this helps! Have a great day!
Answer:
x=8
Step-by-step explanation:
Step 1.
4(2x-5)=5x+4
8x-20=5x+4
Step 2.
Add 20 to both sides
8x-20=5x+4
8x-20+20=5x+4+20
Step 3.
Simplify add the numbers
8x=5x+24
Step 4.
Subtract 5x from both sides of the equation
8x=5x+24
8x-5x=5x+24-5x
Step 5
Simplify
combine like terms
3x=24
Step 6
Divide both sides of the equation by the same term
3x=24 3x/3=24/3
Step 7
Simplify
Cancel terms that are in both the numerator and denominator
divide the numbers
x=8
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.
The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
For more details about Inequality refer to the link given below.
https://brainly.com/question/17177510
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
Answer:
-15-5Step-by-step explanation:
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
I answer for what I understand
-225 : 15 = - 15
30 : (- 6 ) = -5
Which expression is equal to 6 x (3 + 8)?
OA (6 + 3) < (6 + 8)
OB. (6 x 3) + (6 x 8)
O C. (
63) (6 x 8)
)
D. (6 + 3) + (6 + 8)
+
[tex]6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)[/tex]
Answer:
(6×3)+(6×8)
Hope you could get an idea from here.
Doubt clarification - use comment section.
please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Joe purchases a tray of 48 flowers to plant in his garden. He plants 3 flowers every minute. He can plant the entire tray in 16 minutes.
When setting up a graph to model how many flowers he plants over time, what would be an appropriate scale for the x-axis (horizontal axis)?
Question 10 options:
0 - 48
0 - 3
16 - 48
0 - 16
Answer:
B im very sorry if im wrong <3
Step-by-step explanation:
Answer:48
Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)
y - 36 = -12(x - 1)
y - 36 = -12x + 12
12x + y = 12 + 36
12x + y = 48
what 550 divided by 12 and then divide the answer by 4
Answer:
550 / 12 = 45.84
45.84 / 4 = approximately 11.46
Answer: 11 11/24
Step-by-step explanation: 550/12 275/6/4/1
(275/6)(1/4)
275/24
11 11/24
Help. Match each equation with its corresponding graph.
Answer:
y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C
2x + 6y = -6 ; Graph A
y = [tex]\frac{1}{2}[/tex]x + 2; Graph B
