Answer:
equation: y = 12x
Dr. Betz worked for 8 hours.
Step-by-step explanation:
To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:
y = 12x
Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:
y = 12(40)
Now solve:
y = 480
Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:
480/60 = 8
Dr. Betz worked for 8 hours.
Why might you solve this system of equations by adding or subtracting? Explain fully.
2x + 3y = 4
2x - 3y = 8
x to the tenth power divided by x to the seventh power
Answer:
[tex]x^3[/tex]
Step-by-step explanation:
Division for exponents with the same base is just subtracting the exponents.
10 - 7 = 3
You'll get x to the third power because 10 minus 7 is 3.
12). *
A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet from
the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
a.159.6 ft
c. 154.3 ft
b. 424.0 ft
d. 438.6 ft
Option b is correct, the length of the guy wire should be 424.0 feet.
Let us denote the length of the guy wire as "x."
We can form a right triangle using the height of the tower, the distance from the top to where the guy wire is attached (5 feet), and the length of the guy wire (x).
In the right triangle, the sine of the angle is defined as the ratio of the opposite side (height of the tower - 5 feet) to the hypotenuse (length of the guy wire).
sin(20°) = (height of the tower - 5 feet) / x
To find x, we can rearrange the equation as follows:
x = (height of the tower - 5 feet) / sin(20°)
Substituting the given values:
x = (150 feet - 5 feet) / sin(20°)
x = 145 feet / 0.3420
x = 424.2 feet
Hence, the length of the guy wire should be approximately 424.0 feet.
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Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)
Answer:
Adam's container
Step-by-step explanation:
Adam's: 8.75/ 3.5 = 2.5
Marco's: 9.75/ 3.75 = 2.6
= 2.5
Is this true if yes why/if not why not, give reason.
Z^2+z+z=3z^2
Answer:
i am not sure
Step-by-step explanation:
The cost of a new math textbook and a study guide together is $58. Three of the math textbooks and two study guides cost $165. How much does one textbook alone cost?
Answer:
Cost of one textbook = $49
Step-by-step explanation:
Given:
Cost of 1 textbook and 1 study guide = $58
Cost of 3 textbook and 2 study guide = $165
Find:
Cost of one textbook
Computation:
Assume,
Cost of one textbook = a
Cost of one study guide = b
So,
a + b = 58
b = 58 - a
3a + 2b = 165
3a + 2(58-a) = 165
3a - 2a + 116 = 165
a = 49
Cost of one textbook = $49
fast I have 5 mins last question has 2 parts
Answer:
x = 1
Step-by-step explanation:
3(2) = [tex]\sqrt{4^{2} + 20 x }[/tex]
6=[tex]\sqrt{16+20 x}[/tex]
square both side
36 = 16 +20x
20 = 20x
x= 1
Consider the system of equations. y = –x + 3 y = –x – 3 The graph of the first equation is shown by the orange line. On a coordinate plane, an orange line goes through points (0, 3) and (3, 0). What is the slope of the orange line? If the second equation was drawn on the same graph, what would be its slope? If the lines of both equations were shown on the same graph, they would . The system of equations has .
Answer:
Step-by-step explanation:
Answer: The answers are -1, -1, be parallel, and no solution.
Step-by-step explanation: I got it correct on Edge, hope this helps!
PLS HELP! 30 POINTS AND BRAINLIEST!!!
Answer:
C. m<1 + m<5 = 180 (reason: they are consecutive angles, and should be congruent)
Answer:
C. m<1 + m<5 = 180
Step-by-step explanation:
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answer:
ok it has to be c baceau it loooks like it
Step-by-step explanation:
PLEASE HELP ME!!!
A roller coaster climbs to a height of 248m before it goes into an underground tunnel that is 16m below ground. What is the height difference between the highest point and the lowest?
A) -232
B) -264
C) 264
D) 232
===========================================================
Explanation:
Draw a vertical number line. Mark the values 248, 0, and -16 on the number line. The negative value is to indicate it is below 0, while the positive number is above 0.
The distance from 248 to 0 is 248 units. Let A = 248.
The distance from 0 to -16 is 16 units. Let B = 16
The total distance mentioned so far is A+B = 248+16 = 264
So basically if we start at the highest point (248) and go to the ground level, we traveled 248 meters. Then we travel another 16 meters to go from ground level to the lowest point (-16) leading to a total of 248+16=264 meters in total distance from highest to lowest point.
What is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
A. The percent change is approximately 17%.
B. The percent change is approximately 20%.
C. The percent change is approximately 80%.
D. The percent change is approximately 120%.
Answer: you answer is A hope that helped
Step-by-step explanation:
please help:( i’m not sure....
Answer:
B. 2 ÷ 11
I hope this helps!
original price of a pen:$1.50
tax:4%
Answer:
$1.56
Step-by-step explanation:
1.50 times 0.04 is 0.06
1.50+0.06
$1.56
Answer:
ANswer is $2.10.
Step-by-step explanation:
The tax is $.60 and you add that to $1.50.
Seth grew 12 flowers with 2 seed packets. How many seed packets does Seth need to have a total of 18 flowers in his garden? Solve using unit rates. plzz help me
A recipe for cooking turkey states to cook the turkey 15 minutes per pound. Add an additional 5 minutes per pound if the Turkey is stuffed. Our turkey is 16 pounds and will be stuffed. We plan to eat at 1:00 PM. Allow 30 minutes for cooling and carving. What time does the turkey have to be put in the oven?
Answer:
The turkey has to be put in the oven at 7:10 AM.
Step-by-step explanation:
We have:
Turkey stuffed with 16 pounds
Since the time of cooking is 15 minutes per pound with an addition of 5 minutes per pound when the turkey is stuffed, hence we have:
[tex]T = 16 pounds*15 \frac{min}{pound} + 5 \frac{min}{pound}*16 pounds = 320 min = 5 h + 20 min[/tex]
Therefore, the total time of cooking is 320 minutes or 5 hours plus 20 minutes.
If they plan to eat at 1:00 PM with 30 minutes for cooling and carving, then:
[tex]t_{o} = 13 h - 5.33 h - \frac{1}{2} h = 7 h + 10 min[/tex]
Hence, the turkey has to be put in the oven at 7:10 AM.
I hope it helps you!
(7x-49x^2)/(7x) can smeone solve this? Thank you! I hope you have a great day!
Answer:
x = 1/7
Step-by-step explanation:
[tex]\frac{(7x-49x^2)}{7x}\\\\\frac{7x(1-7x)}{7x} \\\\1-7x=0\\\\1=7x\\\\[/tex]
x = 1/7
PLEASE HELP ME I DONT KNOW THE ANSWERR
How much force is needed to accelerate a 90 kg skier 2 m/s2?
options
92 N
180 kg/ms2
180N
45 kg/ms2
subject-science
Answer:third one
Step-by-step explanation:
The amount of force needed to accelerate 90 kg skier to 2 meters will be 180 N.
What is a force?A force is defined as the external agent applied to the objects to displace them from one position to another position or to stop the motion of the object. The unit of measurement of the force is the newton.
Given that the weight of the object is 90 kg and the distance to be displaced is 2 meters. The amount of the force will be calculated as below:-
Force = Mass x Acceleration
Force = 90 x 2
Force = 180 Newton
Therefore, the amount of force needed to accelerate 90 kg of skier to 2 meters will be 180 N.
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If the red square has an area of 200 square centimeters and the green square has an area of 60 square centimeters, then was is the area of the yellow square?
Answer:
140
Step-by-step explanation:
You want the area. You do not have to take the square root. First of all you have to assume this is a right angle triangle.
c^2 = b^2 + a^2
c^2 = 200
b^2 = 60
a^2 = ?
200 = 60 + a^2
200 - 60 = a^2
a^2 = 140
Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18
Select one:
a. Choice A
b. Choice B
c. The unit rates are equal
d. The unit rates cannot be determined
NEED ANSWERS ASAP!!! TODAY.
Look at the equation below. It is incomplete. What number should go in the space? Give your answer as a decimal, not a fraction.
Answer:
as always o.5
Step-by-step explanation:
Which of the following correctly demonstrates a verb tense shift? a. Kurtis is moving to a new city to start the job he was hired for. b. Kurtis moved to a new city and is started the new job he was hired for. c. Kurtis moved to a new city to starting the job he was hired for. d. Kurtis will be moving to a new city to started the job he was hired for. D is wrong
Answer: a. Kurtis is moving to a new city to start the job he was hired for.
Step-by-step explanation: "is moving" is present progressive tense.
"was hired" is passive past tense.
"to start" is an infinitive.
These are correct verb forms.
b is almost correct. Kurtis "moved" is OK in the past tense. *is started* should be "has started"
c is partly correct. *to starting* is ungrammatical here.
d is wrong because *to started* is always ungrammatical.
Given f(x) = 4 - 3x, what is the value of f(-5)?
Answer:
Step-by-step explanation:
If f= 4 and x=3 then you times 4 times 5 equals 20
A twelve pack of Orange Crush is priced at $3.00. What is the unit rate or the price per soda?
Divide price by quantity:
3.00 / 12 = $0.25 per can.
PLEASE HELP ME IM DESPERATE!
Answer:
Slope = 3
Step-by-step explanation: If Wyatt is at (0,0), and the kite is at (24,72), then you use the slope formula:
(72-0) / (24-0)
72/24
3
convert unit rate 12yd/min = ft/s
Answer:
12 yards per second = 36 feet per second
Formula: multiply the value in yards per second by the conversion factor '3'.
So, 12 yards per second = 12 × 3 = 36 feet per second.
Step-by-step explanation:
To calculate a yard per second value to the corresponding value in ft/s, just multiply the quantity in yd/s by 3 (the conversion factor).
Here is the formula:
Value in ft/s = value in yd/s × 3
Suppose you want to convert 12 yd/s into ft/s. Using the conversion formula above, you will get:
Value in ft/s = 12 × 3 = 36 ft/s
what is the meaning of divisor
Answer:
Were a number is divided by another.
Answer:
look it up but I learned this. A divisor - I forgot but here, the Web told me:
divisor
[dəˈvīzər]
NOUN
mathematics
a number by which another number is to be divided.
a number that divides into another without a remainder.
"the greatest common divisor"
HOPE I HELPED!
write 50 cm as a fraction of 2 m
give your answers in its simplest form
Answer:
25c
Step-by-step explanation:
Write the equation of the line represented by the table below. Thank you anyone for helping!
Answer:
A. y = -3x + 5
Step-by-step explanation:
Use any two points to find slope, let's use (-2, 11) and (4, -7):
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-7 - 11) / (4 - (-2))
= -18 / 6
m = -3
Use above slope and any one point to find y-intercept, let's use (10, -25):
y = mx + b
-25 = -3(10) + b
-25 = -30 + b
b = 5
Use m and b above to form equation of line:
y = mx + b
y = -3x + 5