Answer:x=-5/11
Step-by-step explanation:
2x+2+20x=−8
Step 1: Simplify both sides of the equation.
2x+2+20x=−8
(2x+20x)+(2)=−8(Combine Like Terms)
22x+2=−8
22x+2=−8
Step 2: Subtract 2 from both sides.
22x+2−2=−8−2
22x=−10
Step 3: Divide both sides by 22.
22x/22=-10/22
It has been estimated that a certain stream can support 85,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1700 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x.
Answer:
[tex]p = 85000 - 1700x[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fish = 85000[/tex]
[tex]Rate = 1700[/tex]
Required
Determine the equation
For 1 ton, there is a reduction of 1700 fishes
This implies that:
For x tons, there will be a reduction of 1700x fishes
So, the function is:
[tex]p = Initial\ Fishes - Rate * x[/tex]
We used minus because the number of fishes reduced.
So, we have:
[tex]p = 85000 - 1700*x[/tex]
[tex]p = 85000 - 1700x[/tex]
Hence, the function is: [tex]p = 85000 - 1700x[/tex]
Mrs. Hanson has a potato salad recipe that calls for 2 3/8 pounds of potatoes, but she wants to make 1 1/2 times as much as the recipe calls for. The diagram represents the number of pounds of potatoes that Mrs. Hanson needs. How many pounds of potatoes does Mrs. Hanson need? Enter your answer as a mixed number in simplest form by filling in the boxes. Need an answer fast!!!
The pounds of potatoes that Mrs. Hanson needs is 3 9/16 pounds.
How many pounds of potatoes does Mrs. Hanson need?A mixed number is number that consists of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 2 3/8.
In order to determine the pounds of potatoes that Mrs. Hanson needs, multiply 2 3/8 by 1 1/2. Multiplication is the mathematical process that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.
Pounds of potatoes that Mrs Hanson needs = 2 3/8 x 1 1/2
Pounds of potatoes that Mrs Hanson needs = 19/8 x 3/2
Pounds of potatoes that Mrs Hanson needs = 57 / 16 = 3 9/16 pounds
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A system of equations where both X and Y cancel and you are left with just a number is called
1. Lily wants to buy 4 pounds of cereal for her camping trip. The boxes are each 18 ounces. According to the number line, how many boxes will she need to buy to have at least 4 pounds? 18 36 72 +++ 26 32 48 80
1: 2 boxes
2: 5 boxes
3: 3 boxes
4: 4 boxes
Answer: 4 boxes.
Step-by-step explanation:
We know that each box has 18 ounces of cereal.
We know that:
1 lb = 16 oz
Then:
1 = (1lb/16oz)
Then we can write:
18 oz = 18oz*(1lb/16oz) = (18/16) lb
This means that each box has (18/16) pounds of cereal.
Now, how many boxes we need to buy if we want to have at least 4 pounds of cereal?
If we buy N boxes, we will have N*(18/16) lb boxes of cereal.
Let's find N such that:
N*(18/16) lb = 4lb
N = 4*(16/18) = 3.56
But you can not have a 0.56 of a box, so we should round our number up to the next whole number, then we get:
N = 4.
She should buy 4 boxes.
Answer:
4
Step-by-step explanation:
Good Luck
What is the volume of the cone below?
O A. 132pi units3
O B. 264pi units3
O C. 396pi units3
O D. 792pi units3
Answer:
B. 264π units³
Step-by-step explanation:
Volume of the cone = ⅓πr²h
Where,
r = 6
h = 22
Plug in the values
Volume = ⅓×π×6²×22
Volume = ⅓×π×36×22
Volume = 264π units³
At a deli, Joe bought 2.2 pounds of coleslaw for $7.15. What was the unit price?
Answer:
$3.25 for 1 pound of coleslaw
Step-by-step explanation:
i think,.
Pls help
Solve the equation —3x —12 = —39 for x, and show all steps.
Answer:
x=9
Step-by-step explanation:
-3x-12=-39 Add the like terms (if you add 12 to negative 12 it cancels out)
+12 +12
-3x=-27 Now divide
/-3 /-3
x=9
Jared bought a 15-pound bag of turkey for Thanksgiving. His family ate 6 ⅗ pounds of the food on the morning of Thanksgiving and 4 ⅘ for dinner. Jared decided to use ½ of the remaining turkey to make sandwiches for lunch. How much turkey, in pounds, did Jared use to make sandwiches?
Answer:
1 4/5 pounds
Step-by-step explanation:
15-6= 9
9-4=5
3/5+4/5=7/5 or 1 2/5
5-1=4
4-2/5=3 3/5
half of 3 is 1.5 or 1 5/10
3/5=6/10 half of 6/10 is 3/10
3/10+5/10= 8/10
simplify 1 8/10= 1 4/5
Lcm of 20, 3 quick math
Answer:
least common multiple of 20 and 3? it would be 60.
which of the following is a quadratic equation in one variable. a.7x^2-15=32x b.x^2+y+9=0 c.3x+2y=8. d. 5x -15=0
Answer:
a. 7x^2-15=32x
Step-by-step explanation:
a standard form quadratic equation is written as ax^2+bx+c=0
7x^2-15=32x can be rewritten into 7x^2-32x-15=0 by subtracting 32x on both sides.
options b and c don't work because they include another variable, y
option d is a linear equation, not a quadratic
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 76 hours over the last two weeks and had a total of $1,942 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks? PLEASE HELP DUE AT 12!
per hour Sandy earns (together with commission):
8 + 0.15*8 = 1.15*8 = $9.2 per hour
for the 74 hours worked she will earn total of:
74*9.2 = $680.8
A $592 is the closest.
A large pizza costs $17.99. A second large pizza is 14 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
Answer:
$22
Step-by-step explanation:
17.99 round up so 18
a second large pizza is 14 dollars off of the original price of 18 so 4
18+4 is 22
so 2 large pizzas would cost $22
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and peach pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
t ≤ 40
p ≤ 184
t ≤ 40
8p ≤ 184
t ≤ 40
p + 8t ≤ 184
t ≤ 40
8p + t ≤ 184
the answer is D is the answer
Answer:
i think 8p+tLess equal to 184
The inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We need to define variables initially in this situation. Thus, we have the number of tarts and the number of pies, which are p and t respectively.
Apples are needed for each tart, abbreviated t, and for each pie, abbreviated p.
It is given that every day, a supply of 184 apples is sent to the baker
8p + t ≤ 184
The baker only produces up to 40 tarts every day as a result
t ≤ 40
Thus, the inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
Learn more about inequality here:
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There are only red counters and blue counters in a bag
in the bag
the number of red counters: the number of blue counters = 5.7
What fraction of the counters in the bag are red?
Answer:
[tex]Red\ Fraction = \frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]Red:Blue = 5 : 7[/tex]
Required
Determine the fraction of red
To do this, we make use of:
[tex]Red\ Fraction = \frac{Red}{Red + Blue}[/tex]
This gives:
[tex]Red\ Fraction = \frac{5}{5+7}[/tex]
[tex]Red\ Fraction = \frac{5}{12}[/tex]
[tex]\frac{11}{4} =\frac{13}{4} k+\frac{1}{2} k[/tex]
Answer:
k = ¹¹⁄₁₅ Or 0.73333333333Explanation:
Find The Least Common Multiple Of 4 And 2: 4
Multiply By LCM (4)¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4
Simplify
15k = 11
Divide Both Sides By 15
15k / 15 = 11 / 15
k = ¹¹⁄₁₅ Or 0.73333333333PLEASE HELP!!!
I need help with this math homework
9514 1404 393
Answer:
x = 14√2y = 14z = 14√3Step-by-step explanation:
These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.
Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.
Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.
__
The side marked x has the same length as the side marked 14√2.
x = 14√2
The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.
The side marked y is half the length of the hypotenuse of that triangles so is ...
y = 28/2
y = 14
And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...
z = 14√3
_____
Alternate solution
The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...
Tan = Opposite/Adjacent
tan(45°) = 14√2/x
x = 14√2/tan(45°) = 14√2
__
To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:
Sin = Opposite/Hypotenuse
hypotenuse = 14√2/sin(45°) = 28
Now, we can find y and z:
sin(30°) = y/hypotenuse
y = (28)sin(30°) = 14
cos(30°) = z/hypotenuse
z = (28)cos(30°) = 14√3
Simplify the following:
(3i-3)(3i+3) and (4i+7)(-6i+20)
Find the midpoint of the segment with the following endpoints
(9.9) and (1.-1)
Answer:
(5,4)
Step-by-step explanation:
To find midpoint you just find out how far apart the points are and divide it by half. For example our x values are 9 and 1. 9 and 1 are 8 points away. Half of 8 is four so 9-4 is 5. Remember midpoint is the MIDDLE.
Example 2: Identify the reference angle.
A)
135°
B)
260°
C)
310
Answer:
A) 45
B) 80
C) 50
Step-by-step explanation:
When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.
When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.
3. What is the probability that Austin will spin a number less than 3?
A 40%
B 45%
C 60%
D 2
1. Given the following relation, determine the inverse relation.
a. {(-1,0), (- 4,5), (3,2), (-3,5)}
b. f(x) =x + 3
2. Represent the inverse of the following relation algebraically and graphically.
f(x) = 2x - 4
Answer:
1. a
2. [tex]f^{-1} (x)=\frac{x}{2} +2[/tex]
Step-by-step explanation:
1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.
2. To find the inverse, interchange the variables and solve for y.
[tex]f^{-1} (x)=\frac{x}{2} +2[/tex]
Help pre- algebra
:DD
Answer:
Calzones are $ 8 and an Empanada costs $12
Step-by-step explanation:
2x+3y=52
4x+3y=68
Multiply by -1
-2x-3y=-52
4x+3y=68
combine
2x=16
x=8
plug in 8
4(8)+3y=68
32+3y=68
3y=36
y=12
Step-by-step explanation:
step 1. 2c + 3e = 52, 4c + 3e = 68.
step 2. this is a system of equations. solve the system.
step 3. subtract the 1st equation from the 2nd.
step 4. 2c = 16, therefore c = 8.
step 5. 2(8) + 3e = 52. 3e = 36. e = 12.
step 6. calzones = 8, empanadas = 12.
Bill drove his car at a constant speed while on a trip. Kevin drove his car at a different constant speed while on the same trip. The graph and the table show information about the trips Bill and Kevin took.
Which sentence correctly compares the rates Bill and Kevin drove on their trips
Pls help i will mark please dont answer if you don’t know please
Answer:
35.84
Step-by-step explanation:
32x1.12=35.84
Answer:
$35.84
Step-by-step explanation:
Hi! Ace here.
The easiest way to do this is to use benchmark fractions.
10% of 32 = 3.2
1% of 32 = .32
1% of 32 = .32
Add up all the numbers:
3.2 + .32 + .32 = 3.2 + 64 = 3.84
Since it's a mark up, we do:
32 + 3.84 = $35.84
You can also use percent proportions which would look like this. I'm not going to explain it that much because I think that's what the other person did.
[tex]\frac{x}{112} =\frac{32}{100}[/tex]
[tex]x=\frac{112*32}{100} \\\\x=\frac{3584}{100} \\\\x=35.84[/tex]
Please let me know if you have any questions.
8. What is the value of x?
82
(4x + 4)
(2x + 4)
Answer:
x = 12 and 1/3
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION CORRECTLY AND ILL MARK BRAINLY
You forgot the image attached to the question. I will edit my answer after you edit the question
Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?
Answer:
Step-by-step explanation:
$120
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation:
If the graph of a line goes from the upper left corner of the graph to the lower right corner what can you say about its slope ?
Answer: You can say that the slope is negative since the graph is decreasing.
Step-by-step explanation:
What is the solution for the equation -5/2 equals 3/4+ n
Answer:
3/4+n=-5/2
n=-10/4-3/4
n=-13/4
Step-by-step explanation:
Answer:
n = -13/4
Step-by-step explanation:
-5/2 equals 3/4+ n => -5/2 = 3/4+ n
Recognize that the LCD here is 4. Multiply all three terms by 4, obtaining:
-10 = 3 + 4n
Combining the constants results in
-13 = 4n, so that n = -13/4