Answer:
1202.5 miles
Step-by-step explanation:
It is given that.
A test of a new car shows it can drive 370 miles on 20 gallons of gas.
We need to find how far you could drive on 65 gallons of gas.
20 gallons of gas = 370 miles
1 gallon = 18.5 miles
For 65 gallons of gas, multiply 65 and 18.5.
65 gallons = 18.5 × 65 miles
= 1202.5 miles
Hence, 1202.5 miles you could drive on 65 gallons of the gas.
Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?
SHOW YOUR WORK FOR DOUBLE THE POINTS AND YOU GET PICKED BRAINLIST
!!! I WILL REPORT YOU IF YOU CHEAT!!!
Answer:
report me if i cheat nah its 4
Step-by-step explanation:
Can anybody help with this ( hope this is better)
AJ
GET OUT OF MY HEAD
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Answer:wwwwhhhhhaaaaaatttttt
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (0,-5) and (5,-1)
Answer:
y=4/5x-5
Step-by-step explanation:
to find the slope intercept form (y=mx+b) we must find the slope(m) first. We take the two points given and use the slope formula (y2-y1/x2-x1) take the point (0,-5) as (x1,y1) and the point (5,-1) as (x2,y2).Using the slope formula {-1-(-5)/5-0}. We get the slope equal to 4/5. Now we have y= 4/5x+b.To find b we must choose one point from the given and substitute x and y in the formula we have(y=4/5x+b). I chose (0,-5) so substituting that, (-5=4/5(0)+b), and to finally get b=-5.Now substitute b in the equation y=4/5x+b to get y=4/5x-5.
which ordered pair is a solution of the eqaution
2x-y=9?
Answer:
(5,1)
Step-by-step explanation:
2x-y=9
(5,1)
There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!
A rectangle is 15 feet long and 9 feet wide. Find its area.
Step-by-step explanation:
Since area = length(width) = l(w)
We need to multiply 15 and 9.
15(9) = 135
Therefore, the area of the rectangle is 135 ft
Area of the rectangle is 135 feet square
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length of the rectangle = 15 feet
Width of the rectangle = 9 feet
Area of the rectangle = Length × Width
=15×9
=135 feet square
Hence, the area of the Rectangle is 135 feet square
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A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?
Answer:
15%
Step-by-step explanation:
975-828.75/975
Answer:
There was a 15% mark down.
Step-by-step explanation:
975 x 0.15 (15%) = 146.25
828.75 + 146.25 = 975
Check Work:
975 - 146.25 = 828.75
The blue segment below is a radius of oo. What is the length of the diameter
of the circle?
A. 4.9 units
B. 14.7 units
C. 9.8 units
D. 19.6 units
Answer:
D. 19.6 unitsStep-by-step explanation:
diameter = 2r
where r = 9.8
plugin value of r = 9.8 into the formula:
diameter = 2(9.8)
= 19.6 units
The length of the diameter of the circle is option D 19.6 units.
What is the diameter?Diameter is defined as the line from one point in the circle to the other point through the center of the circle.
WE know that the diameter = 2r
where r = 9.8
Substitute value of r = 9.8 into the formula:
The diameter = 2(9.8)
The diameter = 19.6 units
Hence, the length of the diameter of the circle is option D 19.6 units.
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I don't know how to solve this.
Answer:
y^5
Step-by-step explanation:
you subtract the exponents
SOMEONE PLEASE HELP ME FOR BRAINLY IF CORRECT
Paula refills the flour bin after it has been empty for a
while. She pours in the flour at a constant rate. She stops
pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
A
Step-by-step explanation:
Its A which ever is the one that is full
What is the base area of Box 3?
Answer:
[tex]1x^{2}+4x[/tex]
Step-by-step explanation:
Usually, you'd not include the "1" before x, but Edge has no brains and can't comprehend it not being there for some reason.
So 1 and 4.
The answer to the next question on the same page as the one I just answered:
What is the volume of Box 3?
B. x^4 + 4x^3 + x^2 + 4x
Answer:
1 & 4
Step-by-step explanation:
i did the question
A student buys a guitar that is on sale for 15% off the regular price of $200. He also must pay an 8% sales tax. What is his total cost for the guitar?
ASNWER CHOICES
$176.80
$178.00
$183.60
$186.00
Answer:
option c
Step-by-step explanation:
a guitar 15% off means that the cost is now 85%
[tex]100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170[/tex]
now the 8% of 170 is
[tex]100\:percent---170\:dollars\\\\8\:percent---x\:dollars[/tex]
[tex]x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6[/tex]
so the total cost is
170+13.6
183.6
Please help in this question with explanation. pls
Answer:
V = x³ - 3x² + 3x - 1
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side )
Here s = x - 1 , thus
V = (x - 1)³
= (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL
= (x - 1)(x² - 2x + 1) ← distribute
= x³ - 2x² + x - x² + 2x - 1 ← collect like terms
= x³ - 3x² + 3x - 1
Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?
The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm
Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]
Putting values and finding x i.e length of EF
[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]
So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
Difference between x=2 and x>2 in terms of their solutions
Answer:
When x = 2, there's a solid answer, if x > 2, it's an inequality
Step-by-step explanation:
Find the angle measures
Answer:
1. 45
2. 45
3. 90
4. 45
5. 45
6. 60
7. 60
8. 60
9. 60
10. 60
Step-by-step explanation:
Construct a triangle ABC, right angled at B and the sides BC = 4cm and AC = 5cm. Measure side AB.
Answer:
3
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Answer:
Interpreting the results:
a) At least 99.3% of the data lies between 12 standard deviations of the mean
b) The data lies between points 0 and 168
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Chebychev's theorem states that:
At least 1 - 1/k² data lies between k standard deviation of the mean
μ ± kσ
Where k is a positive number greater than 1
From the question above
μ = Mean = 84 points
σ = Standard deviation = 5 points
Hence: k = 12
We have:
1 - 1/12²
= 1 - 1/144
= 144 - 1/144
= 143/144
= 0.9930555556
Approximately = 99.3%
Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean
Hence,
μ - kσ
84 - 12 × 7
= 84 - 84
= 0
μ + kσ
84 + 12 × 7
= 84 + 84
= 168
Hence, the data lies between points 0 and 168
Please answer !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 111 degrees
Step-by-step explanation:
the angle next to 164 degrees :
any line = 180 degrees, so 180 - 164 = 16 degrees
now you have two out of three angles in the triangle. All three angles of every triangle must add together to equal 180, so
180 = 53 + 16 + x
or
x= 180 - 53 - 16
x=111 degrees
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Do these ratios form a proportion?
$42 per 33 customers
$28 per 22 customers
yes
no
Answer:
yes
Step-by-step explanation:
[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]
Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion
Through (6,-2), slope = 1/3
Write the equation in slope-intercept form.
Answer:
y=1/3x+4
Step-by-step explanation:
Slope = 1/3
y=1/3x-b
Through (6,-2)
-2=1/3(6)-b
-2=2-b
-4=-b
b=4
y=1/3x+4
Hope this helps!
Andy has $150 in a savings account that earns a simple interest rate of 5%. How much will be in Andy’s savings account after 3 years?
Answer
$172.5
U find one percent of a 150 then times that by 15
subtract this please
Answer:
B. 3x^2 - 13x + 7
Step-by-step explanation:
6x^2 - 5x + 3 - (3x^2 + 8x - 4)
6x^2 - 5x + 3 - 3x^2 - 8x + 4
3x^2 - 13x + 7
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would be less than 21635 dollars if a sample of 193 persons is randomly selected?
Answer:
0.72321
Step-by-step explanation:
Given that :
Mean = 21604
Standard deviation (s) = 727
Sample size (n) = 193
P(x < 21635) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s/√n
Z = (21635 - 21604) / 727/√193
Z = 31 / 52.330605
Z = 0.5923875
P(Z < 0.5924) = 0.72321 (Z probability calculator)
p(Z < 0) = 0.5 ( Z probability calculator)
Which expressions are equivalent to square root 1188x^5? Check all that apply
Find f(3) for f(x)=1/2(4)^x
Answer:
A. 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/2(4)ˣ
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = 1/2(4)³Exponents: f(3) = 1/2(64)Multiply: f(3) = 32tan22° + tan23° tan22°. tan23° = 1 prove that
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved