I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
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hope it helps
The square of a number is 3 less than four times the number. Which values could be the number? 0 0 -3 O 1
Answer:
3 and/or 1.
Step-by-step explanation:
Answer:
1, 3
Step-by-step explanation:
1^2 = 1
1 x 4 = 4
4-1 = 3
3^2 = 9
3 x 4 = 12
12-9 = 3
The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 52,500 GB of memory and at least 12,700 TB of disk space. If both the Pomegranate and the iZac cost $2,200 each, how many of each should the school buy to keep the cost as low as possible?
Answer:
90 Pomegranate and 55 iZac
Step-by-step explanation:
Represent Pomegranate with p and iZac with i
The data can be represented in the following table.
[tex]\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}[/tex]
The table can be represented as follows:
[tex]400p + 300i = 52500[/tex] --- (1)
[tex]80p + 100i = 12700[/tex] ---- (2)
Multiply equation (2) by 3
[tex]3 *\ ([/tex][tex]80p + 100i = 12700[/tex][tex])[/tex]
[tex]240p + 300i = 38100[/tex] ---- (3)
Subtract (3) from (1)
[tex]400p - 240p + 300i - 300i = 52500 - 38100[/tex]
[tex]160p = 14400[/tex]
Divide both sides by 160
[tex]p = 90[/tex]
Substitute [tex]p = 90[/tex] in (2)
[tex]80p + 100i = 12700[/tex]
[tex]80 * 90 + 100i = 12700[/tex]
[tex]7200 + 100i = 12700[/tex]
Collect like terms
[tex]100i = 12700 - 7200[/tex]
[tex]100i = 5500[/tex]
Divide by 100
[tex]i = 55[/tex]
So;
[tex]p = 90[/tex] and [tex]i = 55[/tex]
what is this math question answer 48=a+20
Answer:
a=28
Step-by-step explanation:
a+20=48
a=48-20
a=28
Help me with both questions please please help!
Answer:
we need to know whats given above can you show us a picture of the table above?
Step-by-step explanation:
A company sells an insurance policy against losses incurred during travel for $15. 40,000 customers buy the insurance policy. The policy pays the full amount claimed up till $5,000. Most policy holders claim nothing, the rest either $500 or $5,000. Each customer has the following probabilities of claiming a certain amount for damages, independent of the other customers.
Claim $0 $500 $5,000
Probability 99% 0.8% 0.2%
Estimate the probability that the company makes a positive net profit across the 40,000 contracts.
Help please!!!!!!!!!!
Answer:
6/9
Step-by-step explanation:
Answer:
6/9
Step-by-step explanation:
i took the test
Solve this using substitution method. Many many thanks
Answer:
y=2 and x=1
Step-by-step explanation:
sub 2 into 1
3(15-7y) + 4y= 11
45 - 21y +4y =11
-21y+4y= 11-45
-17y= - 34
y=2
Therefore sub y into x equation
x=15-7(2)
x= 1
Answer:
3x + 4y = 11
x = 15 -7 y
3 (15-7y) = 11
45 - 21y + 4y = 11
45 - 17 y = 11
-17 y =11 -45
-17y ÷ -17 = -34 ÷ -17
y = 2
x = 15 - 7y
x = 15 - 7(2)
x = 15 - 14
x = 1
there for y = 2 and x = 1 is the solution
HELP ASAP I AM DOING IREADY
Answer:
-11 / 4
11 / -4
-11/4
11/-4
Thats it. (A, B, D, E)
Can anyone plz help me
Answer:
a. 12(Nm)
b. anticlockwise
Step-by-step explanation:
Moment = force applied * distance
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100
Which number is a reasonable estimate for 39x24?
Answer:
800
Step-by-step explanation:
I rounded 39 to 40 and 24 to 20 to get numbers that are eadult multiplied
then we can do 40*20 which is 800 using mental math
hope this helps <3
Answer:
1000
Step-by-step explanation:
4*2 = 8
40 * 20 = 800
4*5 = 20
40* 5 = 200
40 * 20 + 40 * 5 = 800 + 200 = 1000
40 * 25 = 1000
I need help please help
Answer:
137
Step-by-step explanation:
If a cookie recipe calls for ¾ cup of sugar and you have 9 ½ cups of sugar, how many whole batches of cookies can you make?
Answer:
c
Step-by-step explanation:
i just did t
Answer:
12
Step-by-step explanation
The lengths of the sides of a triangle are 12,6 V3 and 6. Classify this triangle,
A)
right, scalene triangle
B)
acute, scalene triangle
o
obtuse, scalene triangle
D)
right, isosceles triangle
Answer:
right,scalene triangle
Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.
Answer:
Step-by-step explanation:
a 30-60-90 right triangle is a right triangle because of the 90
the 30 and the 60 have to make 90 too since traingles make 180
30 + 60 + 90 = 180
so 30-60-90 is a right triangle.
Right triangles also can use pythagoran theorem, so the angle ratio is
30-60-90
but the side ratio is
a² + b² = c²
−
1
+
−81
−
16
−
−1
Answer: it is -97
Step-by-step explanation:
because you break it down
-1-81-16+1 ( and the -- turns into a + )
( get rid of the + )
Vince bought 6 boxes of worms to use as bait while fishing with friends. if each person uses exactly 3/8 of a box of worms, how many people can share the worms?
We are given the following information:
each person uses 3/8 a box
there are 6 boxes
Because each box is , and there are 6 boxes, we know that 1 person is , or .
In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):
48 / 3 = 16
Therefore, 16 people can share the worms.
Write the recurring decimal 0.67
as a fraction
2/3 I hope this helps!! :3
Help! See the picture below
Answer:
12=12, so I believe your answer would be yes. I hope this helps.
Step-by-step explanation:
(4,10)
y = 3x - 2
10 = 3(4) - 2
10 = 12 - 2
+2 +2
12 = 12
What is the first step to solve this equation: 11 - 3x = 44
Answer:
take 11 to rhs
-3x = 44 - 11
-x = 33/3
-x = 11
x = -11
Answer: Subtract 11 on both sides
Step-by-step explanation:
11 - 3x = 44
-11 -11
-3x = 33
Divide by -3 on each side
x=-11
There's all of the steps, I know you didn't ask. I hope I helped!
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
Learn more about set operations here
https://brainly.com/question/17469840
#SPJ2
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of Jelly beans. How much did she spend on Jelly Beans? (please don´t guess)
Answer:
$8.35
Step-by-step explanation:
6 pounds is $8.35
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
ben positions his ladder against a wall so that the top of the ladder is 15 feet above the ground. about how long is his ladder?
A. 16.2 feet
B. 18.6 feet
C. 10.5 feet
D. 21 feet
Answer: 16.2 ft
Step-by-step explanation:
Using the Pythagorean theorem, if we let the length of the ladder be x,
[tex]6^{2}+15^{2}=x^{2}\\\\261=x^{2}\\\\x=\sqrt{261} \approx \boxed{16.2 \text{ ft}}[/tex]
The TMV (total market value) of a new car with zero miles decreases by 9% the first minute after it leaves the car lot. Determine the TMV of a new car that was purchased for $29,500 the first minute after it leaves the car lot.
Answer:2
Step-by-step explanation:
The radius of the clock is 6.5 inches. What is the circumference?
A.
40.82 in
B.
132.67 in
C.
84.5 in
D.
20.41 in
Answer:
circumference=2πr=2×22/7×6.5=40.8571428571
option
A.
A.40.82 in
is your answer.
Step-by-step explanation:
the formula for the circumference of a circle for just the radius is
2r(pie)
so just insert 6.5 for r
2(6.5)(pie)
40.82
Hope that helps :)
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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hope it helps