Answer:
74
Step-by-step explanation:
42+64=106
180-106=74
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.
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.
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 milesWhere 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 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
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 :)
calculate the average rate of change in grams per day from dat 1 to day 7
Answer:
8
Step-by-step explanation:
Find the gradients for line A and B.
See pic attached
please help me!!!!!!
Answer:
(2)
Step-by-step explanation:
mean: (13+15+17+17+17+20+27)/7=18
median: 17
mode: 17
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
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What 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.
Q1
(b) Factorise
x2 – 36
(1 mark)
Answer:
(x+6)(x-6)
Step-by-step explanation:
Given: x²-36
Difference of Squares Formula: x²-a²=(x+a)(x-a)
Since 6²=36: x²-6²=(x+6)(x-6)
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
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
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
What’s this help pls
How to solve your problem
9−4+3
9x−4+3x9x-4+3x9x−4+3x
Simplify
1
Combine like terms
9−4+3
9x−4+3x{\color{#c92786}{9x}}-4+{\color{#c92786}{3x}}9x−4+3x
12−4
12x−4{\color{#c92786}{12x}}-412x−4
Solution
12−4
SO D
Answer:
Answer is 12x - 4
Step-by-step explanation:
The give equation (9x -4 + 2x) has two x variables, we can take them both and add them together since they are both x's. So you would take 9 + 3 and and it to get 12, then plug in the variable x. Which will make your new equation 12x - 4
Find the volume of a pyramid with a square base, where the area of the base is 16 m^2
and the height of the pyramid is 25.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
v = 135.5 cm³
Step-by-step explanation:
v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³
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 :)
I NEED HELP WITH THIS
Answer:
∠HGJ + ∠KJG = 180°
So, ∠KJG = 62°
Sooo... WHy does everyone get so mad over links? Are those not allowed???
Which shows all of the solutions of the equation? h e l p
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
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
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:
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.
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
Michael mows 1/6 of an acre in 1/4 of an hour. How many acres does Michael mow per hour?
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.
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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)
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