8 miles using 1 gallon of gas
[tex]\sf \dfrac{1}{32} \ gallon \ gas \rightarrow \dfrac{1}{4} \ mile[/tex]
[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{\dfrac{1}{4}}{\dfrac{1}{32}} \ mile[/tex]
[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{0.25}{0.03125} \ mile[/tex]
[tex]\sf 1\ gallon \ gas \rightarrow 8 \ mile[/tex]
1gallon will be used
1/4÷1/321/4×321(8)8miPLEASE ANSWER FAST: What factor is represented by the yellow shading in the model? [Hint: Crossing the bold line means the whole number 1 and shading equals numerator]
(I will give brainliest to the correct question)
Q4H: The question is in the picture below (please show work) :
HELP I ONLY HAVE ONE MINUTE LEFT!!!
Which statements about this system of equations are true? Check all that apply.
A: The x-variable will be eliminated when adding the system of equations.
B: The y-variable will be eliminated when adding the system of equations.
C: The sum of the system of equations is Negative 8 x = 14.
D: x = 2
E: y = 3
F: There is only one solution to the system of equations.
Answer:
Step-by-step explanation:
b,d,e,f :)
Bijou says the following steps can be used to find 0.62 of 7:
Step 1
Step 2
Step 3
Step 4
Change "of” to the multiplication symbol.
62 × 7 = 434
There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.
Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.
In which step did she make her first error?
Step 1
Step 2
Step 3
Step 4
answer is step 1
Step-by-step explanation:
Answer:
I believe it's a, step one
Step-by-step explanation:
the term "of" in mathematics usually means division
get more math help pls
Answer: See below
Step-by-step explanation:
If the tempature is dropping 3 degrees every hour mulitply 3x5 and you will get 15. Therefore the answer is -15 degrees
Whoever answers correctly can have brainliest
but answer asap
Answer:
8 4/25
Step-by-step explanation:
2 2/5 = 12/5
3 2/5 = 17/5
12×17/5×5
204/25 = 8 4/25
Answer:
[tex] 8 \dfrac{4}{25} [/tex]
Step-by-step explanation:
[tex] 2 \dfrac{2}{5} \times 3 \dfrac{2}{5} = [/tex]
[tex] = \dfrac{12}{5} \times \dfrac{17}{5} [/tex]
[tex] = \dfrac{204}{25} [/tex]
[tex] = 8 \dfrac{4}{25} [/tex]
pls help me this is so frustrating
Answer:
x = 60°
Step-by-step explanation:
m∠EGD = m∠BGF = x°
The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.
A straight line has total 180° interior angle.solve:
m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°brainliest if it is right
Answer:
Step-by-step explanation:the answer is 5
Answer:
the answer i got was 5
Step-by-step explanation:
I get confused when there are boxes—
i also get stuck on fractions.. help
2.4x+2.8=10
Use inverse operations to find for x!
x= 3
what is the peremeter and area of the photo below, also please show work .
Answer:
102.849
Step-by-step explanation:
the perimeter of the square is just 4 × 18.
for the semi-circle the perimeter should be R(pi + 2)
so the perimeter of a semi circle is 30.849
add both values for the final answer which is 102.849
What is 1/-7 as a whole number? Fast! please!
Answer:
I think this is correct.
Step-by-step explanation:
1/-7 = -0.14285714285714
If you round it to the nearest hundredth, it will be -0.14.
I hope you meant negative :)
(2016 Q9 ) Which two expressions are equivalent?
Answer:
C
Step-by-step explanation:
C has the only two equivalent expressions.
Answer C
PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help
Which is a solution to the linear inequality 2x-3y>6
A. (3,0)
B. (-3,1)
C. (3,-1)
Answer:
C ( 3,-1) is a solution
Step-by-step explanation:
2x-3y>6
Let x = 3
2(3) -3y >6
6 - 3y>6
Subtract 6
-3y >0
Divide by -3
-3y/-3 < 0/-3
y < 0
If x = 3 y must be less than 0
C ( 3,-1) is a solution
Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5.
What would the coordinate pair be?
Answer:
(11,8)
Step-by-step explanation:
9+2=11
5+3=8
Answer:
(11,8)
9+2=11
5+3=8
The vertices of triangle DEF are D(12, -8), E(-4, -8), and F(-4, 16). The triangle is dilated with a scale factor of 1/4. Estimate the perimeter of the dilated figure to the nearest whole number.
Answer:
6
Step-by-step explanation:
2
Find the value of x. please explain and show your work.
top(50) left side(24) bottom(32) right side (x)
Answer:
30
Step-by-step explanation:
use Pythagoras theorem
hypothenuse of bottom triangle =√24^2+32^2 = 40
x =√50^2-40^2 = 30
Data management probability
Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.
Step-by-step explanation:
Is anyone able to figure this out, I can't do this
Answer:
C. √2 - 1
Step-by-step explanation:
If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)
Let r = the radius of the small circle
Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
to find the diagonal of the square:
[tex]\implies r^2 + r^2 = c^2[/tex]
[tex]\implies 2r^2 = c^2[/tex]
[tex]\implies c=\sqrt{2r^2}[/tex]
So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]
We are told that the radius of the large circle is 1:
⇒ Diagonal of square + r = 1
[tex]\implies \sqrt{2r^2}+r=1[/tex]
[tex]\implies \sqrt{2r^2}=1-r[/tex]
[tex]\implies 2r^2=(1-r)^2[/tex]
[tex]\implies 2r^2=1-2r+r^2[/tex]
[tex]\implies r^2+2r-1=0[/tex]
Using the quadratic formula to calculate r:
[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]
[tex]\implies r=-1\pm\sqrt{2}[/tex]
As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex] only
Lisa is working on plans for a 12-acre housing development. A park will [tex]2\frac{1}{2}[/tex] cover acres, and paved areas will take [tex]1\frac{3}{4}[/tex] acres. How many acres are left for home sites.
Answer:
Step-by-step explanation:
Here is the equation for this problem:
2 1/2 + 1 3/4 + x = 12
To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)
3/2 + 7/4 + x = 12
The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)
3 x 2 = 6
2 x 2 = 4
Now, the equation looks like this:
6/4 + 7/4 + x = 12
Now add the fractions. The denominator stays the same, but the numerators are added together.
6/4 + 7/4 = 13/4
Now, you can revert 13/4 back to a mixed number
13/4 = 3 1/4
The equation should look like this now:
3 1/4 + x = 12
Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)
12 - 3 1/4 = 8 3/4
Now, it should look like this:
x = 8 3/4
You could change the 8 3/4 into a decimal as well, which would look like this:
x = 8.75
Here is a summary of the whole equation:
2 1/2 + 1 3/4 + x = 12
3/2 + 7/4 + x = 12
6/4 + 7/4 + x = 12
13/4 + x = 12
3 1/4 (-3 1/4) + x = 12 (-3 1/4)
x = 8 3/4 or 8.75 acres
Answer:
Lisa has 8 3/4 acres left for home sites
There will be 7.75 acres of land left for home sites.
What is Mixed Fraction?Mixed fractions are type of fractions which includes both a whole part and a fractional part.
It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a + [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.
Total land for housing development = 12 acres
Land covered by park = 2 [tex]\frac{1}{2}[/tex]
= (2 × 2 + 1) / 2
= 5/2 acres
Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]
= (1 × 4 + 3) / 4
= 7/4 acres
Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{17}{4}[/tex]
= 4.25 acres
So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])
= 12 - 4.25
= 7.75 acres
Hence Lisa can build the home sites in the remaining 7.75 acres of land.
To learn more about Mixed Fractions, click :
https://brainly.com/question/29264210
#SPJ2
Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.
What is the total distance Elliot ran from Sunday through Friday? Show your work.
Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.
Answer:
three and three fourths
Step-by-step explanation:
add all the numbers and subtract from 20
__,__,80,64,51.2,40,96,...
Find the first two terms of the geometric sequence.
Answer:
125, 100, 80,64,51.2,40.96...
Step-by-step explanation:
y=[tex]\frac{4}{5}[/tex]x
So let's work backwards!
[tex]\frac{5}{4}[/tex](80)
=100
Then...
[tex]\frac{5}{4}[/tex](100)
=125
Hope this helps! :D
Answer:
125, 100
Step-by-step explanation:
Perhaps the terms of your series are supposed to be ...
__, __, 80, 64, 51.2, 40.96, ...
The common ratio is 64/80 = 0.8, so the recursive relation is ...
t[n] = 0.8×t[n-1]
__
Solving for the previous term, we find ...
t[n]/0.8 = t[n-1] . . . . . . divide by 0.8
or ...
t[n-1] = 1.25×t[n] . . . . . rearrange
Then the term previous to 80 is 1.25×80 = 100.
And the term previous to 100 is 1.25×100 = 125.
The first two terms of the geometric sequence are 125 and 100.
Sondie sold $6,300 worth of jewelry for her company. She earns $573.25 for
income each week. She is given a 20% commission on her total sales. What was
Sondie’s total income?
Answer:
i think maybe $1833.25
Step-by-step explanation:
[tex] \frac{20}{100} \times 6300[/tex]
= $1260 + $573.25
= $1833.25
PLEASE HELP, the picture below are the details (giving brainliest)
Answer:
A or C but i believe it is A
Which numbers are Rational Numbers?
Answer:
[tex]A.) -67,~ \sqrt{81},~ \dfrac 75[/tex]
Step-by-step explanation:
[tex]\text{A rational number is a number that is expressed as the ratio of two integers.}[/tex]
brainlest if it’s right
brainliest if it shows how to do all 4
formula: pi×2×r or pi×d
1. 9m×2×pi= 56.55m
2. 17ft× pi= 53.41 ft
3. 3yd×pi= 9.42 yd
4. 5cm× pi= 15.71cm
Answer if u know please ASAP if correct and speedy I’ll give brainliest
Answer: tbh its not a
Step-by-step explanation: i just know
Answer:
Answer is C. 2, -4,
Step-by-step explanation:
She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
she has 7 outfits
Step-by-step explanation:
cause if you have 7 pairs of pants and 6 shirts and 7 hoodies you can make 7 outfits
brainliest if it is right
Answer:
Area=7.071428571
Step-by-step explanation:
Before finding its area lets find its radius.
Given,
Diameter=3
Now,
Radius,r=D/2
r =3/2
r=1.5
Again,
Area of circle,A= pi*r*r
A =22/7*1.5*1.5
A=22/7*2.25
A=49.5/7
A=7.071428571 ans.
You are going to draw 4 cards from a standard deck of 52 cards. How many different combinations of cards could you draw?
Answer:
Step-by-step explanation:
To start with we can consider how many possibilities there are for the first card which is obviously 52, as any one of the cards in the deck can be found on the top of the pile. The next card is a bit trickier as there are only 51 possible cards that it could be as the first card takes up a spot. The third card now only has 50 possible cards it could and this continues all the way down to the last card.
is that good