x - 8 = 40 solve in word form
Answer: 48
Step-by-step explanation:
add 8 to both sides
-8 and 8 both cancel out and 40 and 8 add to 48
To investigate water quality, the Columbus Dispatch took water specimens at 16 Ohio State Park swimming areas in central Ohio. Those specimens were taken to laboratories and tested for E. Coli, which are bacteria that can cause serious gastrointestinal problems. For reference, if a 100 100 -milliliter specimen (about 3.3 3.3 ounces) of water contains more than 130 130 E. Coli bacteria, it is considered unsafe. Here are the E. Coli levels per 100 100 milliliter found by the laboratories:
Answer:
mean=56.28ml
The mean is greater than most of the observations because of the two outliers
Step-by-step explanation:
mean=56.28ml
The mean is greater than most of the observations because of the two outliers.
Find the area, to the nearest hundredth, of the figure
Answer:
Step-by-step explanation:
hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi
area of triangle = 0.5×6×14.4 = 43.2 mi²
radius of semicircle = 15.6/2 = 7.8
area of semicircle = πr² = 60.84π mi²
total area = 43.2 + 60.84π ≅ 234.33 mi²
A bicycle has a listed price of $682.99 before tax. If the sales tax rate is 8.25%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
739.34
Step-by-step explanation:
A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths.
Answer:
3.7555555536321
Step-by-step explanation:
5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.
Yes, the triangles are similar to each other by AA rule and EF = 8.
What is similarity in triangles?When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.
Given are the triangles, Δ ABC and Δ DEF,
In Δ ABC,
∠A + ∠B + ∠C = 180°
∠B = 180°- (60°+20°)
∠B = 100°
In Δ DEF,
∠D + ∠E + ∠F = 180°
∠F = 180° - (60°+100°)
∠F = 20°
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
We see, all the corresponding angles are congruent.
Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,
And,
AB/DE = BC/EF = AC/DF = 3/4
BC/EF = 3/4
6/EF = 3/4
EF = 8
Hence, the triangles are similar to each other by AA rule and EF = 8.
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At a party, the amount of people who ate meatballs was 9 less than 3/5 of the total number of people. The number of people who ate meatballs was 24. How many people where at the party? Write an equation to help you solve the problem. Let x represent the number of people at the party.
Answer:
there were a total of 55 people at the party.
Step-by-step explanation:
In order to create the equation representing this scenario we first need to represent each step in a formula. Since the total number of people is represented by x we can multiply 3/5 by x and subtract 9 from that. This would then be equal to 24 like so...
3/5x - 9 = 24
Now that we have the formula we can perform opposite operations to isolate x and solve for it.
3/5x - 9 = 24 ... add 9 on both sides
3/5x = 33 ... divide both sides by 3/5
x = 55
Finally, we can see that there were a total of 55 people at the party.
A company packages pencil lead for mechanical pencils.
The pencil lead is packaged in lengths of 0.025 m. How
many of these shorter pieces can be cut from a strip of
pencil lead that is 2.4 m long?
Answer: 96
Step-by-step explanation:
From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:
= 2.4 / 0.025
= 96
Therefore, 96 shorter pencils can be gotten
Answer:
96
Step-by-step explanation:
(0v0) '
what is the value of x?
Step-by-step explanation:
A = midpoint so the left line = right line
3x = 5x - 6
5x - 6 = 3x
5x - 3x = 6
2x = 6
x = 3
help me for brainlist
Answer:
1. g. $0.10 per square inch
2. c. $0.08 per square inch
3. f. $10
4. m. $8
5. h. 79 in²
6. j. 113 in²
Step-by-step explanation:
1. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 78.53981
$8.00/25π = $0.10 per square inch
2. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113.0973355
$10.00/36π = 0.088419 = $0.08 per square inch
3. information/answer was provided
4. information/answer was provided
5. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 79 in²
6. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113 in²
Is (3,8) a solution to this system of equations? How do you know?
y=7x + 8
y=x + 1
Answer:
yes it is
Step-by-step explanation:
The point (3,8) is not a solution of system of equation. Explanation given below.
What is the system of equation?Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.
Given system of equation,
y=7x + 8
y=x + 1
To find that the point (3,8) is a solution of system of equation,
we substitute the point to both of these equation and verify if that point is satisfying the equation or not.
In the first equation, x=3 and y =8
we get, 8 = 29
which is contradiction.
In the second equation ;
we get, 8 = 4.
Which is also contradiction.
Therefore, the equations do not have the solution (3 , 8).
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Mara writes the expression x + 2(x – 4) – 4x. Which of these expressions are equivalent? Choose the
two correct answers.
1. -x-8
2. -3x-8
3. -2x-6
4. x-4+2x-8
5. x-4x+2x-8
Answer:
it is number 1. because the answer above is equivalent to number 1
Write a function representing the line that includes the points (3,3) and (-6,15)
A function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.
The given coordinate points are (3,3) and (-6,15).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Now, slope=(y2-y1)/(x2-x1)
= (15-3)/(-6-3)
= 12/(-9)
= -4/3
Substitute m=-4/3 and (x, y)=(3, 3) in y=mx+c, we get
3=-4/3 (3) +c
c=7
Put, m=-4/3 and c=7 in y=mx+c, we get
y=-4/3 x+7
3y=-4x+21
Therefore, a function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.
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Which expression represents "the product of a and b decreased by 9"?
Answer:
ab-9
Step-by-step explanation:
the product of a and b: a*b
decreased by 9: -9
Answer:
The person above be is correct
Step-by-step explanation:
I figured I would let everyone know so they can trust it anyway have a good day☺️
Can someone pls help me?
Answer: 24, 10, 68, 17
Step-by-step explanation:
An appliance store decreases the price of a 19-in. television set 16% to a sale price of $509.88. What was the original price?
Answer:
the original price 3186.75
You poured 4 kilograms of oats equally into 3 bags. What is the weight of each of his bags of oat
Please answer i’m confused lol i didn’t pay attention in math
Answer:
2 2/3
Step-by-step explanation:
we know that the kg in each bag is 2 2/3
Write the polynomial you created in factored form.
Answer:
Mr.poop was a very wise man he poop in the toilet and in the carpet he didn't know who he was but he was a very very wise man.
find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)
[tex]\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)[/tex]
Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Find the area of the figure.
Answer:
33 sq units
Step-by-step explanation:
if you section it off into a rectangle and two triangles, the large rectangle that makes up most of the shape is 6x4 units or 24 sq units. each triangle is 3x3 units, so together they would make one 3x3 square. the 3x3 square would have an area of 9, and the answer is 24+9, or 33 sq units
Hayley picked 2/3 of a pound of
berries. She divided them
evenly among 3 containers.
How many pounds of berries
did Hayley put in each
container?
hey! please help on this question i'll give brainliest <333 .
Answer:
go to photo math on your phone it will help you and please give me brainleist
Step-by-step explanation:
1) Walter opened a bank account with $0. He deposits $200 in the bank
each month. Write an expression that represents how much money
Walter has deposited after some number of months (m). Which
student below is correct? What mistake do the other students make?
Student A
200*10
Student B
2200
Student C
200m
Student D
m = 200
Answer:
Student C is correct.
Students A and B do not account for the variable in the equation. Student A assumes that it has already been 10 months when it has not been stated in the question. Student B has come to the conclusion that it has been 11 months. Neither have an equation to show for it. Student D is incorrect because the variable "m" equals the number of months, and the number of months would not equal the amount of money Walter would be receiving in total. Student C is correct because the variable "m", or months, is being multiplied by 200, or the amount of money.
For example, if 5 months were to pass, then you would receive 1000 dollars, because 5×200 is 1000. This would hold up, as in the original problem, you receive 200 dollars per month. another example is if you replace "m" with 0, then it will show that in 0 months, you will have 0 dollars, and it is stated at the beginning of the problem that Walter's bank account starts at $0.
Solve for − ∣ x − 2 ∣ + 4 ≤ 0
Answer:
x ≥ 6 or x ≤ -2
Step-by-step explanation:
- I x - 2 I + 4 ≤ 0
- I x - 2 I ≤ -4
I x - 2 I ≥ 4
x - 2 ≥ 4 or x - 2 ≤ -4
x ≥ 6 or x ≤ -2
is the function a^x increasing or decreasing?
is the function for a^-x increasing or decreasing?
Anyone please help asap for these both questions. thank you
Answer:
The function a^x is increasing, while a^-x is decreasing.
Step-by-step explanation:
The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.
I hope I helped:)
I would appreciate Brainliest ;)
PLEASE HELP WITH I WILL GIVE FREE HUGS AND BRAINLIEST
Answer:
Step-by-step explanation:
a=1
b=-2
c=1.5
d=-20
The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest tenth.
Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
Drag and drop each equation to match the type of solution.
Answer:
B, A, C
Step-by-step explanation:
At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.
Answer:
3
Step-by-step explanation:
17.35 * 3
How many three-digit numbers are divisible by 2,3 or 5?
Answer:
764 numbers
Step-by-step explanation:
Number of multiples of 2: is 2x50–2x499 which is 450 numbers.
Number of multiples of 3: 3x34–3x333 is 300 numbers
Multiples of 5: 5x20–5x199 is 180 numbers
Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.
Multiples of 3x5 or 15: 15x7–15x66 or 60
numbers.
Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.
Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.
450+300+180–46–60–90+30=
764 numbers.