Which shows all of the solutions of the equation? h e l p
A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
Find AM⎯⎯⎯⎯⎯⎯ A M ¯ in the parallelogram if PN⎯⎯⎯⎯⎯ = 8 P N ¯ = 8 and AO⎯⎯⎯⎯⎯ = 5 A O ¯ = 5 .
Step-by-step explanation:
please can you show me a picture of this parallelogram
I NEED HELP WITH THIS
Answer:
∠HGJ + ∠KJG = 180°
So, ∠KJG = 62°
Michael mows 1/6 of an acre in 1/4 of an hour. How many acres does Michael mow per hour?
5. Find the measure of arc AC.
Find mAC
A) 52
B) 72
C) 92
D) 112
Answer:
B: 72
Step-by-step explanation:
Here, we want to find the measure of arc AC
Mathematically, we will use an angle arc relationship here
The angle arc relationship to use here is that the arc AC is twice the measure of angle ABC
Thus, we have the arc AC as 2 * 36 = 72 degrees
Carter has 13 peppermints. Nina has p fewer peppermints than Carter. Write an expression that shows how many peppermints Nina has.
Type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.
7. Emily and John will be hiking for 42 hours. Hikers should drink at least 2.7 cups of water for every 2 hours of hiking. How many cups of water should Emily and John drink?
Step-by-step explanation:
in 24 hours they will drink 32.7 cups
in 18 hours they will drink 24.3
32.7+24.3=56.7
Plzz help will mark brainiest!!!!!!
Answer choices for first box : 4, 20, and 34
answer choices for second box: decrease, preserve, and increase
Answer:
The length of the resulting line is 20 units
and for the second one it would be preserve
Step-by-step explanation:
Hope this helps :)
calculate the average rate of change in grams per day from dat 1 to day 7
Answer:
8
Step-by-step explanation:
Where is -7 located? plot -7 on the number line
please help me!
Answer:
Go two back away from -5
Step-by-step explanation:
I don't know how to explain this but like start at -5 and then go back two?
Or start at -10 and go forward 3
hope it helps :)
Find the value of x in the isosceles triangle shown below
Step-by-step explanation:
x is the hypothnes so u can done by trigonometric formula
c2=a2+b2
×2=6square +8square
x2=36+64
x=square root of 100
x=10(sorry my phone hasn't square)
Answer:
x = 10
Step-by-step explanation:
One can assume that the line drawn down the middle splits the triangle into two congruent portions, thus it is an angle bisector, altitude, and median. This forms two congruent right triangles. Therefore, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sies next to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve, remember that a median splits the base in half,
[tex](8)^2+(6)^2=c^2\\\\64 + 36 = c^2\\\\100 = c^2\\\\10 = c[/tex]
Distributive property and Combine like terms
Answer:
k = 55
Step-by-step explanation:
First clear the fraction by multiplying all three terms by 5. We get:
k - 10 = 45
Adding 10 to both sides results in
k = 55 (after having combined like terms)
How do I solve this arithmetic sequence and find the next four terms?
Answer:
252
Step-by-step explanation:
t50 = t1 + (n - 1)(d)
= 7 + (50 - 1) (5)
= 7 + (49)(5)
= 7 + 245
= 252
Answer:
The 50ᵗʰ term of this sequence is 252
Step-by-step explanation:
Here,
First Term = a₁ = 7
Common Difference = (d) = 5
Now, For 50ᵗʰ term, n = 50
aₙ = a + (n - 1)d
a₅₀ = 7 + (50 - 1) × 5
a₅₀ = 7 + 49 × 5
a₅₀ = 7 + 245
a₅₀ = 252
Thus, The 50ᵗʰ term of this sequence is 252
-TheUnknownScientist
The least measurement is the sequence is 128. The greatest measurement is 172. Find the number of sides in this polygon given the sum of the measures is equal to 180 (n-2) degrees
Answer:
the number of sides is 12
Step-by-step explanation:
The computation of the number of sides in the polygon is shown below:
As we know that
S_n = n ÷ 2 (a_1 + a_n)
= n ÷ 2 × (128 + 172)
= 150 n
Now given that the sum of the measures = 180 (n - 2)
So,
Sn = 180 (n - 2)
150n = 180n - 360
30n = 360
n = 12
Hence, the number of sides is 12
please help me!!!!!!
Answer:
(2)
Step-by-step explanation:
mean: (13+15+17+17+17+20+27)/7=18
median: 17
mode: 17
The diameter of a circle is 5 centimeters.
What is the circle's circumference? Use a = 3.14
Answer:
centimeters.
Answer:
half of 5 is 2.5
2.5 x 3.14 x 2 = 15.7 cm
Formula of circumference:
2(you just always need this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use) x r(radius, half of your diameter or given radius).
Answer:
15.7
Step-by-step explanation:
circumference = 2 x 3.14 x r ---? 2 x 3.14 x 2.5 = 15.7
Select all the expressions that are greater than 1.
A. 5 divided by 9/10
B. 3/5 divided by 6
C. 4/5 divided by 3/7
D. 2 3/5 divided by 1 3/5
E. 12/5 divided by 13/5
PLEASE HELP THANK YOU
Select the following expressions. I will just list the letter choice:
A, C, D
The road mileage between City M and several
selected cities is shown in the table. If we consider
this as a function that pairs each city with a distance
is the function a one-to-one function?
Answer:
No, it's not a one to one function
Step-by-step explanation:
In one to one function, the function is either increasing or decreasing. Also, in this type of function, the same values can not be assigned to two different domain elements.
In this case, distance from city C and City E are both 1195 miles from city M.
Thus defaults the law of one to one function.
Therefore it's not one to one function.
help please i need to get this done today
Answer:
( -2, 12)
(-1, 9)
(0, 6)
(1 , 3)
(2, 0)
Step-by-step explanation:
Input the values into the equation
How much more interest would you get in
3 years from 16% compounded quarterly
compared to 16% simple interest on a
$5900 deposit?
Answer:
944
Step-by-step explanation:
A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3. What is the value of
b?
Answer:
The value of b is 3
Step-by-step explanation:
mx is the slope and b is the y intercept. I hope this helps!
The value of the intercept of the given line is 3.
We have given that,
A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3.
What is the slope-intercept form?
[tex]y=m x+b[/tex]
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
mx is the slope and b is the y-intercept.
The value of the intercept of the given line is 3.
To learn more about the slope-intercept form visit:
https://brainly.com/question/24756209
#SPJ2
Please help I have less then 6 minutes
Answer:
11) 60°
12) 50°
13) 50°
14) 50° (i suspect you want ∠FED instead, which is 102°)(NOT a repeat of ∠FDE)
Step-by-step explanation:
help me plz..
the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k
Answer:
k=3 is your answer
Step-by-step explanation:
given equation :
9x²+12xy+(k+1)y²=0
comparing above equation with
ax²+2hxy+by²
we get
a=9
h=12/2=6
b=k+1
since lines are coincident
ø=0
Tan0=±[2√(h²-ab)]/(a+b)
we get
h²=ab
6²=9(k+1)
36/9=k+1
4=k+1
k=4-1=3
The value of k will be;
⇒ k = 3
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The pair of equation is,
⇒ 9x² + 12xy + (k + 1)y² = 0
Now,
We know that;
The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,
⇒ h² = ab
So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;
⇒ 2h = 12
⇒ h = 6
⇒ a = 9
⇒ b = (k + 1)
Substitute all the values in given condition for coincide , we get;
⇒ h² = ab
⇒ 6² = 9 (k + 1)
⇒ 36/9 = k + 1
⇒ 4 = k + 1
⇒ k = 4 - 1
⇒ k = 3
Thus, The value of k = 3
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Zoe runs a market in the city of Manila. Half of the canned drinks in stock were sold out. Zoe bought 68 more canned drinks to restock her supply. If there is a total of 200 cans now, how many canned drinks were in stock initially?
Answer:
264 canned drinks
Step-by-step explanation:
Let
canned drinks in stock initially = x
Canned drinks sold out = 1/2 of x
= 1/2x
Canned drinks remaining in stock = x - 1/2x
= 1/2x
New restock = 68 canned drinks
Total drinks in stock presently = Canned drinks remaining in stock + New restock
200 = 1/2x + 68
200 - 68 = 1/2x
132 = 1/2x
x = 132 ÷ 1/2
= 132 × 2/1
x = 264 canned drinks
canned drinks in stock initially = x = 264 canned drinks
Taxi cab A charges $2 per mile and 10 to get in the taxi, Taxi cab C charges $3 per mile and only 2 to get in the taxi. After how many miles will both taxi cabs cost the same?
Answer:
8 MILES
Step-by-step explanation:
Taxi A = $10 + 2 (8)
$10 + 16 = 26
__________________________
Taxi C = $2 + 3 (8)
$2 + 24 = 26
__________________________
After 8 miles both taxi cabs will cost the same.
Answer:
8 milesStep-by-step explanation:
Let the required number of miles is x.
Solve below equation and find the value of x:
10 + 2x = 2 + 3x3x - 2x = 10 - 2x = 8 milesWhat is m∠1? Help me, please
Answer:
119
Step-by-step explanation:
By using exterior angle theorem, we know that 31+angle 1 =150. therefore angle 1=119. Exterior angle theorem is where an angle exterior of an angle in the triangle addus up to 180 degreees, we also know the angles in a triangle sum to 180 degrees. Both sides have a common angle. If we subract it from the equation, we get what is said above.
5. The length of a rectangular swimming pool is 50 yards, and the width of the pool is 16
yards. What is the approximate length of the diagonal of this pool?
A. 66 yards
B. 2756 yards
C. 52.50 yards
D. 47.37 yards
how do you find the circumcenter of a triangle?
Answer:
draw the perpendicular bisectors of the sides and extend them. The point at which the perpendicular intersects each other will be the circumcenter of that triangle.
What is the area of the sector? Answer needs to be in decimal form and try to provide work please!! Answer options are A. 472.3 B.80.2 C. 194.9 D. 76.7 ANSWER ASAP!! Scam answers will be reported :)