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?

Answers

Answer 1

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


Related Questions

Side of a square = 10 m; Perimeter=_____



CAN SOMEONE PLS TELL ME THE ANSWER WITH AN EXPLANATION?!

Answers

ANSWER: 40 m

EXPLANATION: a square has four equal sides, and perimeter is the sum of these sides

since one side is 10 m, we can multiply this by four:

10 m x 4 = 40 m

Find the value of x.

Answers

Answer:

x = 30.74

Step-by-step explanation:

39 - 15 = 24

y^2 + 24^2= 36^2

y^2 + 576= 1296

y^2= 720

y= [tex]12\sqrt{5}[/tex]

15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2

225 + 720 = x^2

x^2= 945

x = 30.74

the value of x=30.74

Please help thank you so much

Answers

Answer:

x=90

inscribed angle from the diameter is complement

Answer:

x = 90.

Step-by-step explanation:

Diameter formed the angle with circumeference is 90.

heeeeeeeelllllpppp
why isnt anyone helping me :(
find MK​

Answers

Answer:

MK=32.5

Step-by-step explanation:

Hey There!

I believe that these triangles are similar

So to find MK we want to find the scale factor

To do this we divide

66/30=2.2

Now we want to divide 72.5 by 2.2

72.5/2.2=32.5

therefore MK=32.5

hope this helps!

Please help! Will give Brainliest. (Photo below)

Answers

Hi! So I got :
-3 —>20
-2 —>13
-1 —>8
0 —>5
1 —>4
2 —>5
3 —>8
I’m sorry if any of these are wrong but In order to find the answers I used the “graphing quadratics” one (don’t know the name so sorry) but yeah first I found the axis of symmetry which was 1 and from there I built a chart and substituted. Again, I didn’t see some answer choices above in the image so sorry if there wrong, but yeah I hope this helped! (This is from algebra 1 by the way)

True or false? In a two-column proof, the left column contains a series of deductions. A. True B. False

Answers

Answer:

True

Step-by-step explanation:

How many buckets are filled with one quart of water

Answers

Answer:

only one because one quart is one fourth

please help due soon

Answers

A = 29.745

you can use the law of sine

Ali and Tyler are 50 when you add up their ages. Ali is 8 years younger
than Tyler. How old is Tyler? *

Answers

Answer:

33

Step-by-step explanation:

while Tyler is 33 ali will be 17

33 Tyler is 33 while Ali is 17

Can someone please help me fill this out?

Answers

Answer:

1. 2.2

2. 3.8

3. 9

Step-by-step explanation:

1. Plug in -1.6 for y in the equation.

[tex]3.8+0+-1.6=2.2[/tex]

2. Plug in 0 for y in the equation.

[tex]3.8+0+0=3.8[/tex]

3. Plug in 5.2 for y in the equation

[tex]3.8+0+5.2=9[/tex]

Hope this helped C:

there are 2 pictures and 2 questions there is 1 more question on my profile can you please do

Answers

Answer:

Area of the circle = 616[tex]cm^{2}[/tex]

Volume of the rectangular prism = 416[tex]mm^{3}[/tex]

Step-by-step explanation:

Area of a circle = [tex]\frac{22}{7}r^{2}[/tex] where, r is the radius.

To find the radius, take the half of diameter

[tex]\frac{28}{2} =[/tex] 14

= [tex]\frac{22}{7}[/tex][tex]14^{2}[/tex]

= [tex]\frac{22}{7}[/tex] × 196

= 22 × 28

= 616[tex]cm^{2}[/tex]

Volume of a rectangular prism = length × breadth × height

= 10.4 × 5 × 8

= 416[tex]mm^{3}[/tex]

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

One day 197 Eagle Ridge students went on a field trip. Five busses were filled with the same number of students, and two students traveled separately by car. How many students were on each bus?

Answers

Answer: 39 students

Step-by-step explanation:

First, remove the number of students who traveled by car from the total number so we can see the number of students who traveled by bus:

= 197 - 2

= 195 students by bus.

These 195 students traveled in 5 buses. The number of students on each bus is therefore:

= No. of students traveling by bus / No. of buses

= 195 / 5

= 39 students

I need an answer now!!​

Answers

Pic is kinda blurry so I can’t really answer sorry

SAS, SSS, ASA, or AAS?

Answers

Answer:

SAS

Step-by-step explanation:

Side ST = Side Gp

angle p = angle t

and side PM = side MT

Therefore the congruency statement shows

Side

Angle

Side

aka SAS

In ΔIJK, k = 64 inches, j = 17 inches and ∠J=68°. Find all possible values of ∠K, to the nearest 10th of a degree.

Answers

Answer:

N/A  (if on delta math leave blank)

Step-by-step explanation:

(3.4905745)=ERROR

Sine cannot be greater than 1.

The given conditions cannot form a triangle, there is no possible value of K.

What is sine law?

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

Given that, in a triangle Δ IJK, k = 64 inches, j = 17 inches and ∠J = 68°.

We need to find value of ∠K,

So, using the sine law,

Sin K / k = Sin J / j = Sin I /i

So,

Sin K / k = Sin J / j

Sin K / 64 = Sin 68° / 17

Sin K = 3.5

K = Sin⁻¹(3.5)

K = ERROR

Hence, the given conditions cannot form a triangle, there is no possible value of K.

Learn more about sine law, click;

https://brainly.com/question/17289163

#SPJ2

15/17 = x/147. find the unknown number and round to the nearest hundredth

Answers

Answer:

x=129.70588235294

Step-by-step explanation:

..........

Which expression is equivalent to? Use the image given to find your answer

A.

B.

C.

D.

Answers

Exponents in parenthesis are just multiplied

So 8*4 = 32
a^32

Write an equation in slope-intercept form from the given information.



The slope is 3 and the line passes through the point (5, 16).

Answers

Y=3x+1 should be the answer can I get a crown?

A set of silverware originally cost 350.00. It now cost 450.00. What is the percent change and it need to be showed how to be done

Answers

Answer:

100.00 difference

Step-by-step explanation:

450.00-350.00=100.00

The percent should be 100

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//

Answers

Answer:

20

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

f(x)= (-1)(2) +3 (-1)= -2+-3= -5

g(x)= 2 (-1)2= -4

(f ∘ g)= -5 x -4= 20

Lin runs 5 laps around a track in 6 minutes.

How many minutes per lap is that? Show work

Answers

6/5=1.2 one minute and twenty seconds per lap

Jane drives 80 miles in
2 hours. How many miles
could she expect to drive
in 5 hours?

Answers

Answer:

200 miles I think

Step-by-step explanation:

80÷2=40

meaning 40 miles per hour, so 40×5=200

pls helpppppppppppp!

Answers

Answer: g= -1/12

Step-by-step explanation:

I just solved it hope I helped

When we multiply the second equation by two, what is the resulting equation?

2(5x−2y=8)

Answers

Answer:

10x - 4y = 16

Step-by-step explanation:

2(5x - 2y = 8)

10x - 4y = 16

Answer:

the equation would be 10x-4y=16

What is the Vertex?

y = x² - 8x-1

Answers

Answer:

The vertex is (4,-17)

Step-by-step explanation:

Vertex is (4,-17) hope this helps!

convert 3684 to standard form ​

Answers

Answer:

3.684 × 103

Step-by-step explanation:

Converting Normal Numbers to Standard Form. To convert large normal numbers to standard form you have to put a decimal point after the first digit and ignore the zeros at the end (if there is another number that is not 0 after the zero(s), don't ignore them). In the example on the right you should end up with 3.844.

3 x 1000 + 6 x 100 + 8 x 10 + 4 x 1

A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.

Answers

Answer:

The answer is 5:2 5 to 2 5/2.

can someone help me with these 3 questions I'll mark u brainly :')​

Answers

Answer:

1 is. $3.84

2 is. $20

3 is. $270

I hope this helps

so can you help me people are not helping plezzz

Answers

Answer:

13 is x= 100 degrees

Step-by-step explanation:

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