Answer:
a= b+m/2
Step-by-step explanation:
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
Solve for x:
(X+5)^1/2 = (5-2x)^1/4
Answer:
X = Negative 2 (-2)
(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.
Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math
Answer:
Company B
Step-by-step explanation:
Given. That :
Company A:
Initial charge = $215
Charge per square foot = 0.50
Company B:
Initial charge = $100
Charge per square foot = 0.75
Which company if installing 400 square feet of carpet :
Company A:
Total bill:
$215 + 0.50(400) =$415
Company B:
Total bill:
$100 + 0.75(400) = $400
Hence, Company B will be a better option as the total cost is cheaper than company As cost.
Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?
The total cost of 245 pounds of squash and 3110 pounds of zucchini is $4965.4.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The unit rate for squash and zucchini is $1.48 per pound.
In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,
The cost for 245 pounds of squash is 245 × 1.48 = $362.6
And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.
Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.
Hence, the total cost of vegetables at the given rate is $4965.4.
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write 38/11 as a decimal. use a bar to indicate which digit or group of digits repeat
Answer:
3.454545... put the bar over the first 45 after the decimal to show that it repeats
Step-by-step explanation:
Have a good day:)
A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,
[tex]\dfrac{38}{11} = 3.45454545.....[/tex]
The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.
Hence, the fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
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Below are two parallel line intersecting them
Answer:
x = 53°
Step-by-step explanation:
alternate exterior angles are equal
Answer:
Step-by-step explanation:
Two lines are parallel.
x = 53
Alternate exterior angles are equal
An equilateral triangle has a side length of 16 cm work out the area of the triangle.
Give your answer rounded to 1 DP.
Answer:
110.9 cm²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )
Here s = 16, thus
A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]
= [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
Find the mistake made in the steps to solve the equation below
Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8
y=-7x+6 in standard form. I’ll give brainliest. Hurry pls
Answer:
7x+y=6
Step-by-step explanation:
trust
Which equation shows the relationship between the
number of poles ordered, n, and the total cost, c?
A. c = 3n + 120
B. c = 4n + 180
C. c = 20n + 60
D. c = 40n
(NEED HELP ITS DUE TODAY)
Anyone know the answer ?
Answer:
b
Step-by-step explanation:
hope this helps
Factor out the greatest common factor. 21x2 - 6x 21x2 - 6x =
Answer:
21x²-6x=x(21x-6)...
(Help!!!!!!!!) Elena is building a fence for a garden. Using the drawing of her fence below, how many feet of fencing does she need to purchase? Each square unit on the graph represents a square foot. Round to the nearest tenth if necessary.
(sorry for the qualtiy)
A.20.7 feet
B.19.7 feet
C.28.5 feet
D.30.7 feet
E.36.5 feet
Answer:it is d because on the chart it is 5 and 2 and your round
Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong
Simplify 6.9y+2.4y please help me
Answer:
6.9y+2.4y
= 9.3y
Hope it helps u,
pls put thanks and pls mark as the brainliest
If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135
Answer:
D. 135
here are some extra words for fun (and to fill the necessary 20 characters)
A. Corresponding angles
B.Same side interior angles
C. Alternate exterior angles
D. alternate interior angles
Answer:
Alternate exterior angles
The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)
Answer:
15°
Step-by-step explanation:
5x°+4x°+3x°=180°
12x°=180°
X=(180/12)°
X=15°
A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?
The rate of descent was ____ feet per minute.
Please help ASAP my assignment is due in less then an hour.
Answer
The rate of descent was 59.5 feet per minute
Step-by-step explanation:
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
If a = 5x + 8 and d = 62, find the value of x.
Answer:
first if a=d that 62=5x+8
62-8=5x+8-8 ...substract by same number
54=5x ....simplifying
54/5=5x/5 ....divided by two equal part
10.8=x
Arrange the numbers in increasing order.
b.
14.204
14.200
14.240
14.210
Answer:14.200,14.204,14.210,14.240
Step-by-step explanation:
MM can someone answer this riddle
Animal riddle
In reply to an inquiry about the animals on his farm, the farmer says: “I only ever keep sheep, goats, and horses. In fact, at the moment they are all sheep bar three, all goats bar four, and all horses bar five.” How many does he have of each animal?
Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)
I know the page is a bit blurry so here’s what question 2 says:
Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?
the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9
Answer: 2:D 3: 1/3 of the fruit, or 80 oranges
Step-by-step explanation:
Answer:
Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1
Solve for x and y, will mark brainliest please help!
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
solve the equation below for x
cx - 4 = 7
A. x = 11/c
B. x = c/11
C. x = c/e
D. x = 3/c
Answer:
x = 11/c
Step-by-step explanation:
cx - 4 = 7
Add 4 to each side
cx - 4+4 = 7+4
cx = 11
Divide each side by c
cx/c = 11/c
x = 11/c
10) Choose the correct answer.
Simple Inequalities:
please help
Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black
Step-by-step explanation:
Answer: 3 ≤ x ≤ 7
Step-by-step explanation:
The number line will have a filled in circle at 3 and a filled in circle at 7.
A filled in circle indicates that the number IS a solution.
An open circle indicates that the number is NOT a solution.
Hope this helps!
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
what is 5 groups of 3
Answer:
That is like 3x5 which is 15
Step-by-step explanation: