If price of gas went up by 0.5% last month. Suppose gas currently costs $2.44 a gallon. If the price of gas continues to increase at this rate then 2.5864 cost on year from now
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
0.5% convert to decimal
0.5/100=0.005
We need to calculate what is 0.5 percentage of 2.44.
0.005×2.44=0.0122
The cost increases after one year i.e is twelve months.
0.0122×12=0.1464
Now add 0.1464 with 0.0122
2.44+0.1464
Two point five eight six four.
=2.5864
Hence 2.5864 is the price of gas after one year.
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Which shows the expression below simplified? (4.9 x 108) ÷ (7 x 105)
Hoping it helps...
Have a nice day!
1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)
Step-by-step explanation:
or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)
or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)
or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)
or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)
or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)
or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156
or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41
or,-7x^2+58x=115
or,-7x^2+58x-115=0
or,-(7x^2-58x+115)=0
or,7x^2-58x+115=0
or,7x^2-(35+23)x+115=0
or,7x^2-35x-23x+115=0
or,7x (x-5)-23 (x-5)=0
or, (x-5)(7x-23)=0
Either, Or,
(x-5)=0 (7x-23)=0
or,x=0+5 or,7x=23
:x=5 :x=23/7
Hence,x=5 or 23/7
use the pythagorean Theorem to find the missing length of the hypotenuse
C=
Answer:
300
Step-by-step explanation:
do 15 times 20 and that should make 300.
hope this helps
PLEASE SOMEONE HELP ME!!!
A box containing oranges weighs 60kg. The empty box weighs 7.5kg. If the average weight of an
orange is 75g, how many oranges are there in the box?
Answer: 700 oranges
Step-by-step explanation: mass of box is reduced first.
Mass of oranges is 60 kg -7.5 kg = 52.5 kg
Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.
52.5 kg/0.075 kg= 700
Graph the quadratic inequality of y>x^2+6x+6
Answer:
Step-by-step explanation:
Calculate the perimeter of the triangle shown.
Answer:36
Step-by-step explanation:15+5+16=36
What is the answer to my question
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.
2.5 ft
3.9 ft
5 ft
7.85 ft
Answer: 3.9 ft
Step-by-step explanation:
From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:
= 2.5 / 2
= 1.25 ft
Then, we calculate the circumference of the circle which will be:
= 2πr
= 2 × 3.14 × 1.25
= 7.85 ft
Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:
= 7.85/2
= 3.9 feet
Answer:
b
Step-by-step explanation:
An aquarium holds 11.39 cubic feet of water, and is 2.3 feet long and 1.8 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2.75feet
Step-by-step explanation:
Given data
Volume= 11.39 cubic feet
Length= 2.3 feet
Width= 1.8 feet
Depth= ???
The expression for the volume is
Volume= Length*Width*depth
11.39=2.3*1.8*d
11.39=4.14d
d= 11.39/4.14
d= 2.75
Hence the depth is 2.75feet
Belinda is a wedding planner who wants to help couples determine how many people to invite to their wedding. She collects data on hundreds of weddings and finds that you can predict the number of guests based on the total number of immediate family members (parents, siblings, children) of the couple. The equation for doing so is: (Guests)-hat = 38.28 + 15.47 (Family Members)
What is the best prediction for the number of guests a couple with a total of 12 family members? (Do not round your answer)
Answer:
53.75.. I didn't round it either
Step-by-step explanation:
Have nice day/night :)
Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4
Answer:
13×1/4
Step-by-step explanation:
turn into improper fraction
Shannon is planning a surprise birthday party. She has to rent tables and chairs, and each table costs $35.00 and each chair costs $6.00. The other costs of the party are $315.00. Which of the following expressions represent the total cost of the party?
Answer:
A. 35t + 6c +315
Step-by-step explanation:
The correct expression to represent the total cost of the party is,
⇒ 35t + 6c + 315
Where, 't' is number of table and 'c' is number of chairs.
Option A is correct.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Shannon has to rent tables and chairs for party.
Price of each table = $35.00
Price of each chair = $6.00
The other cost of the party = $315.00
Now,
Let total number of table = t
Then, Total cost of the table= $35t
Let total number of chairs = c
Then, Total cost of chairs = $6c
And, The other cost of the party = $315.00
So, Total cost of the party = 35t + 6c + 315
Thus, The correct expression to represent the total cost of the party is,
⇒ 35t + 6c + 315
Where, 't' is number of table and 'c' is number of chairs.
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what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
How many faces does this figure have?
O two
O three
O four
O five
Answer:
Three
Step-by-step explanation:
So to count the number of faces, you look for how many flat sides the the figure has. Looking at the shape, you see that it has a face on top, on the bottom, to the left and to the right, on the front and at the back.
The given figure has five faces, option D is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a triangular prism
A triangular prism is a three-dimensional geometric shape that has two congruent triangular bases and three rectangular faces connecting them. Since each triangular base has one face, there are two faces that are triangular.
Additionally, there are three rectangular faces that connect the triangular bases.
Therefore, a triangular prism has five faces in total.
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In the accompanying diagram, parallelogram ABCD has
vertices A(2, 1), B(8,1), C(11,5), and D(5,5). What is the
area of parallelogram ABCD?
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
[tex]A = b\cdot h[/tex] (1)
Where:
[tex]A[/tex] - Area.
[tex]b[/tex] - Base.
[tex]h[/tex] - Height.
The base and height of the parallelogram are, respectively:
Base
[tex]b = 8-2[/tex]
[tex]b = 6[/tex]
Height
[tex]h = 5-1[/tex]
[tex]h = 4[/tex]
Then, the area of the parallelogram is:
[tex]A = (6)\cdot (4)[/tex]
[tex]A = 24[/tex]
The area of the paralellogram is 24 square units.
A man places a 20 foot ladder against a 16 foot What is the measure of the angle formed by the ladder and the ground?
Answer:
is there any more context?
Step-by-step explanation:
Answer:
53.130°
Step-by-step explanation:
tan(x)=16/12
x is used in replacement of theta symbol
solve for the length of KM.
Answer:
KM = 29Step-by-step explanation:
Use Intersecting chords theorem and find x:
JU * LU = MU * KU10*2x = 9(2x + 2)20x = 18x + 182x = 18x = 9Find KM:
KM = 2*9 + 2 + 9 = 29Step-by-step explanation:
➡JU×LU=MU×KU
➡10×2x=9(2x+2)
➡20x=18x+18
➡20x-18x=18
➡2x=18
➡x=18/2
➡x=9
KM=KU+UM
➡KM=9+2(9)+2
➡KM=9+18+2
➡KM=29
Ellen had 380 legos, but she lost 57 of them, how many legos does she have now?
Answer:
323 legos
Step-by-step explanation:
Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the radius is 5
both triangles are congruent because of the SAS theorem.
x = 2 because corresponding parts of congruent tringles are congruent.
Select the correct answer from the drop-down menu.
The square root of 125 is between
Answer:
[tex] \sqrt{125 } \\ = 11.18[/tex]
It is in between 0 to 12.
Answer:
√125 must be between 11 and 12.
Step-by-step explanation:
Identify perfect squares in the neighborhood of 125:
121 = 11^2 or √121 = 11
144 = 12^2 √144 = 12
√125 must therefore be between 11 and 12.
Determine the area under the standard normal curve that lies to the left of
(a) Z= -1.05, (b) Z= -0.36, (c) Z= - 1.07, and (d) Z = 1.35.
Answer:
A
Step-by-step explanation:
You must show all the steps for this problem. That means you must set-up the problem correctly step-by-step. Do not just write the answer only. You will not receive any credit for writing the answer only. Be sure to round the answer to the nearest degree. Find the measure of x in the right triangle.
Answer:
Below in bold.
Step-by-step explanation:
cos x = adjacent side / hypotenuse
= 8/21
= 0.380952
So m < x = arccos 0.380952
= 67.607
= 68 degrees to nearest degree.
40% of the fruits in a bag are mangoes and the remainder is orange. If there are 120 fruits in the bag and 10% of the mangoes are ripe, how many ripe mangoes are in the bag?
Answer:
15 mangoes are ripe understand ok
6 in.
9 in.
What is the area of Mona's tablet screen? Enter the answer in the box.
Can someone tell me the answers I need help
Answer:
Step-by-step explanation:
Renata and ben each have 32 feet of wood for framing their rectangular murals. Renata makes her frame 18 ft high. Ben makes his frame 5 ft high. Whose mural has the greater area? How much greater?
Answer: Renata, [tex]416\ ft^2[/tex]
Step-by-step explanation:
Given
The base of rectangular wood is [tex]b=32\ ft[/tex]
The height of Renata frame is [tex]h_r=18\ ft[/tex]
The height of the ben frame is [tex]h_b=5\ ft[/tex]
The area of the rectangular frame is [tex]A=b\times h[/tex]
The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]
The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]
Clearly, the area of Renata is more by [tex]576-160=416\ ft^2[/tex]
What is the correct value of x
Answer:
45°Step-by-step explanation:
The triangle is right isosceles.
It is right as the side is the diameter of the circle.
It is isosceles as two sides marked as equal.
Acute angles are same and equal to:
90°/2 = 45°Correct option is 45°
Answer:
<M=90°[inscribed angle on diameter is 90°]
<N=<L=[base angle of isosceles triangle]
now
<M+<l+<N=180°[sum of interior angle of traingle]
[2x-5]×2=180-90
4x-10=90
x=100/4=25
x=25
Out of a random sample of 330 apples, 25 are rated "AAA." Estimate the number of apples that would be rated "AAA" in a crop of 50,000 apples.
Answer:
3750 apples
Step-by-step explanation:
Prob (Apple AAA rating) = AAA rated apples / Total Apples
25 / 330 = 0.075
Expected apples rated AAA from 50000 apples = P(AAA rating) x Apples no.
0.075 x 50000
3750
In 45 minutes time, Juan rode his horse for a total of 12 miles. He claims that his horse was traveling at 16 miles per hour. What assumption must Juan make for his claim to be true?
a: His horse made a rest stop.
b: His horse traveled at a constant speed.
c: His horse traveled in a straight line.
d: His horse's speed varied throughout the ride.
Answer: b
Step-by-step explanation:
In ΔKLM, l = 56 inches, k = 27 inches and ∠K=10°. Find all possible values of ∠L, to the nearest degree.
ANSWER
21
∘
and 159
∘
Answer:
21 or 159 degrees
Step-by-step explanation:
Answer:
21, 159
Step-by-step explanation:
see attatched image