Answer:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Answer:
Step-by-step explanation:
68 1/4
The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.
What is a mixed fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Assume the distance covered before their first stop for gas be 'x'
Total distance travelled is 381 miles
We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is
x + 3x + 58 3/4 = 381
4x + 58 3/4 = 381
x=68 1/4 in mixed fraction
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Which correlation coefficient best matches the graph?
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
-
5. Tanya wants to subtract 62 - 48. What are some
ways she can find the difference? Choose a way
and show the work needed to find the difference
I need help please it’s for school
From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.
Where is the Santa Clause's residence?
The residence of Santa Clause is popularly known as the North Pole.
According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km
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Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?
The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities
Work Shown:
2 cm : 50 miles
3*(2 cm) : 3*(50 miles)
6 cm : 150 miles
last one… someone help please.
Answer:
32 degrees
a triangle is = to 180 degrees
what the sum of 9999x23
Answer:
suma is 229,997
Step-by-step explanation:
229,997
Please Help Question in picture
Answer:
(-3, 5.5)
Step-by-step explanation:
To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.
(-7+1)/2 = -3
(8+3)/2 = 5.5
Answer:
(-3,5.5)
Step-by-step explanation:
(-7,8)
(1,3)
(-7+1)/2,(8+3)/2
-3,5.5
-g + 2 (3 + g) = -4 (g + 1)
find the derivative of x³/tanx
Answer:
Below.
Step-by-step explanation:
We apply the quotient rule:
dy/dx = ( tanx * 3x^2 - x^3 * sec^2x) / (tan^2 x)
= x^2( 3tanx - xsec^2x) / tan^2x
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning
2. Write an equations for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
Write the equation of the line that passes through the points (-1,3) and (-1,-9).
Answer:
The equation of the line is x=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-3)/(-1-(-1))
m=-12/(-1+1)
m=-12/0
undefined.
Since the slope is undefined,
it follows that this is a vertical line with the equation x=-1.
there are 64 female performers in a dance recital. the ratio of men to woman is 5:8 how many men are in the dance recital
Answer:
40
Step-by-step explanation:
64 female
ratio of men to women is 5:8
5x:8x
where 8x = 64
so x = 8
5(8):8(8)
40:64
So there are 40 men.
Can anyone solve and explain part b
Answer:
Below in bold.
Step-by-step explanation:
b.
If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.
So tan O = BD/16 = 15/8
BD = (16*15)/8
= 2*15
= 30.
So the area of triangle ABC = 16*30
= 480 cm^2.
The length of a certain rectangular prism is 3 less than twice the width. The height of the same prism is 4 more than
the width. Write an expression to represent the volume of the rectangular prism in terms of width (w).
V=2w? + 5w-12
V= -2w3 + 11w2 + 12w
V=2w3 +5w? - 12w
В.
С.
D
V=4w + 1
Answer:
it is c
Step-by-step explanation:
me big brain
the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is
Find the perimeter of both ( they have the same perimeter)
Answer:
x=2
Step-by-step explanation:
6x+3+2x+1+4x=12x+4
5x+5x+3x+2=13x+2
12x+4=13x+2
4-2=13x-12x
2=x
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Answer:
Answer: 855
Step-by-step explanation:
I take it you want the total number of fruit? You should state the question. I will assume I am correct.
So 25% of 60 baskets = 25/100 * 60 = 15 baskets.
Each basic contains 12 pieces of fruits 12 * 15 = 180
And 75% of 60 baskets = 0.75 * 60 = 45 baskets.
Each contains 15 pieces 45 * 15 = 675
The total number of fruit in all is 855
it's all i the picture help!! i don't remember how to solve it
Is y=12x proportional?
Answer:
yes, this line will pass through the point of origin
Step-by-step explanation:
URGENT WILL MARK BRAINLIEST 1. Suppose Q is the midpoint of PR. Use the information to find the
missing value.
PQ = 32 + 10 and QR = 2 + 14
Find PR.
A. 32
B. 16
C. 4
D. 2
Answer:
A.32
Step-by-step explanation:
Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the
cheese evenly between 6 sandwiches.
Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich
How many ounces of cheese can Noah use on each sandwich?
Answer:
4 ounces
Step-by-step explanation:
6c = 24
c = 4
Answer: Noah can use 4 ounces per sandwich
an equation is c=24/6
Step-by-step explanation:
The polynomial x3 4x2 â€"" 9x â€"" 36 has 4 terms. Use factoring by grouping to find the correct factorization. (x2 9)(x 4) (x2 â€"" 9)(x â€"" 4) (x2 9)(x â€"" 4) (x2 â€"" 9)(x 4).
The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
The polynomial function is given as:
[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]
Factorize the given expression.
[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]
Factor out x + 4
[tex]P(x) = (x^2 - 9)(x +4)[/tex]
Express 9 as the square of 3
[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]
Apply the difference of two squares
[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
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There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?
Answer:
21
Step-by-step explanation:
70/10=7
So 7 people are 10% of the train.
10*3=30
7*3=21
21 empty seats
Answer
21
Step-by-step explanation:
One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?
Answer: You ate 1920 calories
Step-by-step explanation:
It’s pretty simple,
all you have to do is multiply 6 by 320.
this then gets you 1920
Answer:
1920 calories
Step-by-step explanation:
6servings*320cal/servings = 1920cal (servings cancel)
Which values for A and B will create infiniely many solutions for this system of equations
Answer :
4x-ay=15
Step-by-step explanation:
PLS HELP MEE :((
Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.
y =
Answer:
Check the picture below
Step-by-step explanation:
Find a quadratic function that includes the set of values below.
(0,8), (2,16), (4,0)
The equation of the parabola is y =
Answer:
Let y=ax^2+bx+c be the equation of the parabola. Set up equations.
Using (0,5). 5=a(0)2+b(0)+c
5
=
a
(
0
)
2
+
b
(
0
)
+
c
Using (2,15), 15=a(2)2+b(2)+5
15
=
a
(
2
)
2
+
b
(
2
)
+
5
4a+2b=10
2a+b=5
Using (4,9)
9=a(4)2+b(4)+5
9
=
a
(
4
)
2
+
b
(
4
)
+
5
16a+4b=4
4a+b=1
Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4
a=-2
Solve for b using (1): 2(-2)+b=5
-4+b=5
b=9
So, the equation is y=−2x2+9x+5
Step-by-step explanation: