The total mass of two cows is 96 kilograms. The mass of one of the cows is at least 20 kilograms more than the other. The mass of the lighter cow is more than 35 kilograms. What are the three possible masses of the heavier cow?
9514 1404 393
Answer:
{58, 59, 60} kg
Step-by-step explanation:
Let x represent the mass of the heavier cow. Then the mass of the lighter cow is 96 -x.
The inequalities regarding the relative masses are ...
x ≥ 96-x +20 . . . . . the heavy cow is at least 20 kg heavier
96 -x > 35 . . . . . . . the lighter cow is more than 35 kg
__
Adding x to the first inequality makes it ...
2x ≥ 116
x ≥ 58
Adding x-35 to the second inequality makes it ...
61 > x
So the mass of the heavier cow must be in the range ...
58 ≤ x < 61
Possible whole-number masses for the heavier cow are ...
58 kg, 59 kg, 60 kg
Which of the following is the correct vertex form of the quadratic
f(x)=x²+2x-5 ?
A fx) = (x+1)^2 + 6
B f(x)=(x-1)^2 -6
C f(x) = (x + 1)²-6
D f(x) = (x - 1)^2+6
Answer:
C
Step-by-step explanation:
What is the lateral surface area of this prism helpp plzzz
Answer:
surface area=2(1/2×12×5)+(8×5)+(13×8)+(12×8)
=60+40+104+96
=300inches squarred
Question in picture! will make BRAINLIEST to first correct response!!!
Answer:its B
Step-by-step explanation:
Will give brainliest and 20 points!
Evaluate 2-(-4)+3+(-6)-(-2)
Answer:
5
Step-by-step explanation:
2-(-4)+3=9
9+(-6)-(-2)=5
Answer:
5
Step-by-step explanation:
2-(-4)+3+(-6)-(-2) if a negative is next to a negative number then It'll be a positive
2+4+3+(-6)+2
6+3+(-6)+2
9+(-6)+2
11+(-6)
5
This graph represents wages per hour. What are the output values for working 3, 4, and 5 hours?
Answer:
dont listen to me jus tryna get points
find the product of (7m+8n)(7m−8n)
Answer:
7m-7m=8n+8n
m=16n
Step-by-step explanation: U must first link the like terms so in order to do so u must bring over the 7m, now before u brought over the 7m it was a positive 7m now that your bring it over it turns negeitive and the same goes for the term 8n when u carry that term over it turns positive now dont let the subtraction sign foul u it still negative as long as its beside the term it is going to be negative guys dont forget that, now on to the next step after u cross over and change signs u start to work out now that the like terms are equal u dont need to worry about them because its given u the go ahead to workout so your main focus is on the subtracting the 7's which is 0 and leaves u with m u dont have to put them but i dont recommend it the u start on the next side u and the 8's which is 16 and u put bk the n u have to put bk the terms its important and thats how u get m=16n.
8 people want to share a large pizza.Use a ratio to express how many pieces each person gets if the pizza is divided equally
Answer:
1/8
Step-by-step explanation:
X+4=10
Solve this question???
Answer:
x+4=10
10-4=6
x=6
Step-by-step explanation:
subtract 4 from both sides
Answer:
x = 6
Step-by-step explanation:
Inverse operations
10 - 4 = x
10 - 4 = 6
x = 6
ill give brainliest n a recent survey, 3 out of every 5 students said Math is their favorite class.If 200 students were surveyed, how many students can be expected to choose math as their favorite class?Answer options with 4 optionsA.75B.80C.120D.125
Answer: D. 120 students
Step-by-step explanation:
This is an easy solution
Take 300 and divide it by 5
300/5
This will result in 40
Now Multiply 40 by 3
Like so: 40x3
This will result in 120
Answer:
C) 120
Step-by-step explanation:
Ratio - 3:5
200 times 3/5 = 120
Easy word problem for ya'll :)) giving brainliest so i'd appreciate some help ty
Answer:
I believe the answer is D: 300 inches
Step-by-step explanation:
This might be incorrect, but here's how I see the answer:
First I found the perimeter of one square.
2 + 3 = 5^2= 10
10 inches is the perimeter of one square.
Then, since there is 30 rectangles, and each perimeter is 10 inches long, then you would simply need to multiply the two numbers.
30 * 10 = 300 inches of red thread will be needed.
Answer:
300 in
Step-by-step explanation:
2+2+3+3 = 10
Perimeter 10 for one rectangle.
Multiply 10 by 30 to find out the total perimeter for 30 rectangles.
10 x 30 = 300
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Kendra's Bakery recently spent a total of $134 on new equipment, and their average hourly operating costs are $20. Their average hourly receipts are $22. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
use the expression 8a+16c
PLEASE HELP MEEE
Answer:
Part A: 8(a+2c)
Part B: -56
What is 22.5 rounded to the nearest tenth?
Answer:
20
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
Have a great day :D
I need help with number 3 please I need to get my grade up.
Answer:
(correct) arccos47.3°20.57Step-by-step explanation:
1. The mnemonic SOH CAH TOA tells you the relationship between angle E and the given sides is ...
Cos = Adjacent/Hypotenuse
cos(E) = 19/28
E = arccos(19/28) . . . . the inverse cosine function is used
__
2. E = arccos(19/28) ≈ 47.3°
__
3. You can either use the Pythagorean theorem to find DF, or you can use the sine relation.
Sin = Opposite/Hypotenuse
sin(E) = DF/28
DF = 28·sin(E) = 28·sin(47.268°) . . . . original unrounded answer for E
DF ≈ 20.57
or ...
DF = √(DE² - EF²) = √(28² -19²) = √423 ≈ 20.56696...
DF ≈ 20.57
Help pleaseee..........
Answer:
The answer is the 2nd one
Step-by-step explanation:
the geometric mean of 2 numbers is 20. one of the numbers 50. what is the other
number?
Answer:
8
Step-by-step explanation:
Let x = the unknown no.
Then
[tex]\frac{50}{20} = \frac{20}{x}[/tex]
50x = 400
x = 8
If the geometric mean of two numbers is 20, one number is 50 then the other number is 8
What is geometric mean?"The geometric mean is the average rate of return of a set of values calculated using the products of the terms."
Formula to calculate geometric mean is
[tex]GM = \sqrt{x_{1}.x_{2} }[/tex]
Here,
GM = 20
[tex]x_{1}=50\\ x_{2} =?[/tex]
Substitute the values in the formula
[tex]20=\sqrt{50.x_{2} }[/tex]
Squaring on both sides
[tex]400=50(x_{2})\\ x_{2} =\frac{400}{50} \\x_{2}=8[/tex]
Hence, the other number is 8.
To learn more about Geometric Mean here
https://brainly.com/question/10668117
#SPJ2
Please helppppp
A. Yes;19
B. No
Answer:
Yes
Step-by-step explanation:
What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise?
Answer:
We will have a new angle [tex]\theta_{new}=143^{\circ}[/tex]
Step-by-step explanation:
If we rotate this angle 90 degrees counterclockwise we just need to add both angles, which means:
[tex]\theta_{new}=44^{\circ} + 99^{\circ}=143^{\circ}[/tex]
Therefore, we will have a new angle [tex]\theta_{new}=143^{\circ}[/tex]
I hope it helps you!
The weight of 4 toys is 600g . The weight of 6 such toys are
Answer:
900g
Step-by-step explanation:
This is a case of direct variation as the weight will increase with the number of toys.
hence, 4/600 = 6/x
4x = 3600 (cross multiplication)
x = 900
Hence the weight of 6 such toys is 900g.
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!! HELP ASAP !
Answer:
It would be:
6x+7y=21
In our hall, there are 10 fans, but only 60% of them are working. Write the number of fans that are out of order?! Pls answerr I need help instantly! Thxs if u answer :))
Answer:
6
Step-by-step explanation:
There's 10 fans, so each is worth 10%
If 60% of them are not working, that means that 6 fans are not working.
10 - 6 = 4
There are 6 not working fans
and there are 4 working fans
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
Answer$20
Step-by-step explanation:
The price of 1 pound is $2 so 2x10 would be 20.
[tex]20$[/tex]
Alica buys 10 pounds of hamburger and she pay 20$ for it.
Write the equation in y intercept form
Answer:
y=-2x+4
Explanation:
Subtract 6x from both sides of the equation.
3y=12−6x
Divide each term by 3 and simplify.
Divide each term in 3y=12−6x by 3.
Cancel the common factor of 3.
Simplify
What is the percent of decrease from 100 to 57?
Answer: %56 I think
Step-by-step explanation:
brainliest to whoever gets the correct answer
Answer:
375
Step-by-step explanation:
m= d * v
d= 3
v= 5 * 5 * 5= 125
125 * 3 = 375
PLEASE URGENT HELP!!!
Answer:
The equation is;
y = 1/3x
Step-by-step explanation:
The equation of a linear model is given as;
y = mx + b
m is the slope while b is the y intercept
As we can see, the y intercept is the origin and that means b is zero
To get the value of m, the slope, we have to use the slope equation
We simply select any two points on the line
We have the points as (6,2) and (15,5)
The equation of the slope is:
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,2)
(x2,y2) = (15,5)
m = (5-2)/(15-6) = 3/9 = 1/3
So the equation will be;
y = 1/3x
find the area of a square with side length 4/5 yard.
Answer:
side length = 0.8 yards
area = side length^2= 0.8^2 = 0.64 or 64/100
Step-by-step explanation:
hope that helped
Answer:
Step-by-step explanation:
The area of a square is the side squared.
A=s^2, if s=4/5 then
A=(4/5)^2
A=16/25
So the area is 16/25 yd^2 as a fraction or 0.64 yd^2 as a decimal.
John did an experiment pulling marbles out of a bag, without knowing the contents of the bag. After performing
20 trials, John had pulled 3 red marbles, 11 blue marbles, and 6 orange marbles. He knows that there are 10
marbles in the bag. How many orange marbles could he expect to pull if he performed a new trial with a total of
1,000 trials?
Answer:
300
Step-by-step explanation:
Please Answer Both Of the Questions : )
1.)The price of a cell phone is usually $250. Elena’s mom buys one of these cell phones for $150. What percentage of the usual price did she pay?
2.) Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?
Answer:
1.)= Elana's mom played 60%.
2.)= Elena's dad payed 187.5 precent :P
Step-by-step explanation: