Answers
Related Questions
The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46+0.25x, where x is the number of miles traveled.
a. What is your cost if you travel 57 miles?
The cost is $ ____________.
b. If your cost was $65.00, how many miles were you charged for traveling?
You were charged for traveling ____________ miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is ____________ miles.
Answers
Answer:
A. $60.25
B. 76 miles
C. 216 miles
Step-by-step explanation:
x is miles
y is total amount spent
For A, 57 miles is the x value. Plug that in to x.
y= 46 + .25(57)
y= 60.25
For B, the total is the y. So plug 65 in for y.
65 = 46 + .25x Subtract 46 from both sides
19 = .25x Divide by .25
76 = x
For C, the maximum you can spend is $100. Plug that in for y.
100 = 46 + .25x Subtract 46 from both sides
54 = .25x Divide by .25
216 = x
The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The equation to represent the cost would be y=46+0.25x
x is the number of miles.
a) What is your cost if you travel 57 miles?
Plug x = 57 in the above equation:
y = 46 + 0.25(57)
y = $60.25
b) If your cost was $65.00, how many miles were you charged for traveling?
Plug y = 65 in the equation:
65 = 46 + 0.25x
x = 76 miles
c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Plug y = 100 in the equation:
100 = 46 + 0.25x
x = 216 miles
Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.
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What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
Answers
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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Can the sides of a triangle have lengths 5, 1, and 1?
yes
OR
no
Answers
Answer:
No they cannnot
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
It probably can cause not ALL sides of triangles are equal to each other
Which is not a correct way to rewrite this expression using the distributive
property?
(2x2 + 4x - 7)(x - 2)
A. (2x2 + 4 – 7)(x) + (2x2 + 4x - 7)(x - 2)
B. (2x2)(x) + (2x2)(-2) + (4x)(x) + (4x)(-2) + (-7)(x) + (-7)(-2)
C. (2x2)(x - 2) + (4x)(x - 2) + (-7)(x - 2)
D. (2x2 + 4x - 7)(x) + (2x2 + 4x - 7)(-2)
Answers
Given:
The expression is
\((2x^2+4x-7)(x-2)\)
To find:
The expression which is not a correct way to rewrite the given expression.
Solution:
We have,
\((2x^2+4x-7)(x-2)\)
Using distributive property, we get
\(=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)\)
\(=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)\)
Using distributive property the given expression can rewritten as:
\(=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)\)
Only the expression in option A is not a correct way to rewrite the given expression because \((2x^2+4x-7)\) is not distributed to \((x-2)\) properly.
Therefore, the correct option is A.
find x
a.204
b.90
c.78
d.102
Answers
Answer:
Hope you can understand my handwriting though
What is the slope of the line in the graph?
PLEASE HURRY
Answers
i really need help, can someone please help me with this math question
Answers
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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\( log_{10}(10.000) \)What does this equals
Answers
EXPLANATION
Factor the nuber 10,000:
\(10,000=10^4\)Therefore,
\(\log _{10}10,000=\log _{10}(10)^4\)Applying the log rule:
\(\log _a(a^x)=x\)Hence,
\(\log _{10}(10^4)=4\)The answer is 4
Nicole is 1.55 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 30.05 meters. She stands 25.6 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
Step-by-step explanation:
Let's call the height of the tree "h". We can set up a proportion based on the similar triangles formed by Nicole, her shadow, the tree, and the tree's shadow:
(height of Nicole) / (length of Nicole's shadow) = (height of tree) / (length of tree's shadow)
Substituting the given values, we get:
1.55 / 25.6 = h / 30.05
Simplifying and solving for h, we get:
h = (1.55 / 25.6) * 30.05
= 1.81181640625
Rounding to the nearest hundredth, we get:
h ≈ 1.81 meters
the height of the tree is approximately 1.81 meters.
82 is to 28 as 64 is to ?
1. 12
2. 46
3. 28
4. 44
5. 24
6. 18
Answers
Answer:
2. 46
Step-by-step explanation:
hope it helps..so yeah
It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?
Answers
than 2,845.80
Answer:
It costs $948.60 per person
Step-by-step explanation:
When you divide 2,845.80 by 3 we get 948.6.
I hope this helps you in any way:)
Sort the angles as acute, right, obtuse, or straight.
Answers
The top angle is right (90 degrees, kinda looks like a bent elbow).
The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).
The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).
4th is acute.
5th is straight because it's a straight line.
6th is also obtuse.
Have a good day :)
(45 points)
7. Find the length of YU Round to the nearest hundredth.
8. Find STR.
Answers
Answer:
YU = 4.82. angle STR = 23°
Step-by-step explanation:
7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.
similarly, angle YU = 180 - 85 - 72 = 23°.
length of circumference of full circle = π X diameter = π (2r)
= 2πr (radius = half of diameter).
circumference = 2π(12) = 24π.
there are 360° in full circle.
remember that angle YU = 23°.
length YU = (23/360) X 24π
= (23π)/15
= 4.817
= 4.82 to nearest one hundredth.
8) triangle RST sits inside of half the circle, ie in the semicircle.
angle RST = 90° because the angle in a semicircle = 90°.
there are 180° in a full triangle.
since angle RST = 90°, angle STR must be less than 180 - 90.
angle STR < 90°. so STR must be 23°.
(82 - 60) + [(-3 × 4) - 36 ÷ 4] Please explain how you got your answer with all the steps.
Answers
Answer:
1
Step-by-step explanation:
(82 - 60) + [(-3*4) - 36÷4]
22 + [(-12) - 36÷4] <-- Do (82-60) and (-3*4) first
22 + (-12 - 9) <-- Do 36÷4
22 + (-21)
22 - 21
1
if the sum of two consecutive numbers is 125 then the smallest numbers is
Answers
Answer:
\(\huge\boxed{\sf 62}\)
Step-by-step explanation:
Let the two consecutive numbers be x and x + 1.
Given condition is:
x + x + 1 = 125
2x + 1 = 125
Subtract 1 to both sides
2x = 125 - 1
2x = 124
Divide 2 to both sides
x = 62
So, the numbers are:
x = 62
x + 1 = 62 + 1 = 63
So, the smallest number is 62.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807if the sum of two consecutive numbers is 125 then the smallest number is?
Answer:-62
Explanation:-Let the first number be x
Let the second number be x+1
=> x + x + 1 = 125
=> 2x + 1 = 125
=> 2x = 125-1
=> 2x = 124
=> x = 124/2
=> x = 62
First number = 62
Second number = x+1 = 62+1 = 63
the area of a rectangle is 180 square yards. The lenght of the rectangle is 18 yards. What is the width in yards of rectangle
Answers
According to the given data we have the following:
area of a rectangle=180 square yards
lenght of the rectangle=18 yards
In order to calculate the width in yards of rectangle we would use the following formula:
area of a rectangle=lenght*width
So:
180 square yards=18 yards*width
width=180 square yards/18 yards
width=10 yards
Therefore, the width in yards of rectangle is 10 yards.
pls help its urgent!
Answers
Since each term can be written as the previous term divided by three, this is a geometric sequence.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
For this problem, we have that each term can be written as the previous term multiplied by one third or divided by three, hence the division of consecutive terms is always the same and this is a geometric sequence.
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Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answers
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?
Answers
Answer:
451 feet tall
Step-by-step explanation:
3*12=36
36+5=41
41*11= 451
Let f(x) = 5x – 3 and g(x) = x² + 2x + 5. Evaluate the following.
-
-
a. f(2)=
b. f( – 3) =
c. g( – 2) =
d. g(1) =
e. f(a + 1) =
Preview
f. g(a + 1) =
Answers
Answer:
a. 7
b. -18
c. 5
d. 8
e. 5a + 2
f. a² + 4a + 8
Step-by-step explanation:
f(x) = 5x - 3 and g(x) = x² + 2x + 5
for each, we simply plug in what's inside of the parenthesis wherever we see x
f(2) = 5(2) - 3
multiply 5 and 2
f(2) = 10 - 3 = 7
f(-3) = 5(-3) - 3
multiply 5 and -3
f(-3) = -15 - 3 = -18
g(-2) = (-2)² + 2(-2) + 5
evaluate exponent
g(-2) = 4 + 2(-2) + 5
multiply 2 and -2
g(-2) = 4 - 4 + 5 = 5
( the 4's cancel out and we're left with 5 )
g(1) = (1)² + 2(1) + 5
evaluate exponent
g(1) = 1 + 2(1) + 5
multiply 2 and 1
g(1) = 1 + 2 + 5 = 8
f(a+1) = 5(a + 1) - 3
distribute the 5
f(a+1) = 5a + 5 - 3
combine like terms
f(a+1) = 5a + 2
g(a+1) = (a+1)² + 2(a+1) + 5
expand exponent
g(a+1) = (a+1)(a+1) + 2(a+1) + 5
evaluate (a+1)(a+1) using FOIL
g(a+1) = a² + 2a + 1 + 2(a+1) + 5
distribute the 2
g(a+1) = a² + 2a + 1 + 2a + 2 + 5
combine like terms
g(a+1) = a² + 4a + 8
Write the first 5 terms
an= -2n-3
Answers
Answer:
qfgggghbvvcccvvv kknnbvvvvvvvvvvvbhg
Find the value of m: −3(m − 4) = −6
m = −6
m = −2
m = 2
m = 6
Answers
Answer:
m=6
Step-by-step explanation:
-3m+12=-6
3m=12+6
3m=18
m=6
m = 6.
Step-by-step explanation:
\({ \green{ \tt{ - 3}}}({ \green{ \tt{m - 4}}}) = { \green{ \tt{ - 6}}}\)
\({ \green{ \tt{ - 3m + 12}}} = { \green{ \tt{ - 6}}}\)
\({ \green{ \tt{3m}}} = { \green{ \tt{12}}} \: + \: { \green{ \tt{6}}}\)
\({ \green{ \tt{3m}}} = { \green{ \tt{18}}}\)
\({ \green{ \tt{m}}} = \frac{ \green{ \tt{18}}}{ \green{ \tt{3}}} \)
\({ \green{ \tt{m}}} = { \red{ \mathfrak{6}}}\)
Please help me lolol
Answers
Answer:
dianete makes 1.25 neckties per hour
Step-by-step explanation:
PLEASE HELP
What was similar about Venice and Naples during the Renaissance?
Both were major port cities.
Both were home to the Medici.
Both were weapons-manufacturing cities.
Both were connected to Asian land routes.
Answers
Answer:
Both were major port cities. (A)
Step-by-step explanation:
Answer:
The correct answer is A. Both were major port cities
Step-by-step explanation:
I am 100% sure
Find the lateral surface area of the cylinder. Use 3.14 for π.
will make brainliest if answer correctly with work
Answers
The lateral surface area of the cylinder is 344.64 centimeter square
The radius of the cylinder = 4.9 centimeter
The height of the cylinder = 11.2 centimeter
The lateral surface area of the cylinder = 2 × π × r × h
Where r is the radius of the cylinder
h is the height of the cylinder
The value of π = 3.14
Substitute the values in the equation and find the lateral surface area of the cylinder
The lateral surface area of the cylinder = 2 × 3.14 × 4.9 × 11.2
Multiply the terms
= 344.64 centimeter square
Therefore, the lateral surface area is 344.64 centimeter square
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The given question is incomplete, the complete question is:
Find the lateral surface area of the cylinder. Use 3.14 for π.
Please help! Systems of equation/matrix problem
5. TELEVISION During t
ring the summer, Manuel watches television M hours per day, Monday through Friday. Harry watches television H hours per day, Friday and Saturday. Ellen watches television E hours per day, Friday through
Sunday. Altogether, they watch television 37 hours each week. On Fridays, they watch a total of 11 hours of television.
If the number of hours Ellen spends watching television on any given day is twice the number of hours that Manuel
spends watching television on any given day, how many hours of television does each of them watch each day?
Answers
Answer:
see attached
Step-by-step explanation:
a circle has a diameter of 14 cm. find its circumference. use 3.14 for pi
Answers
Answer:
C= d pi 14(3.14)
Step-by-step explanation:
Cirumference = diamter x pi
14(3.14)= 43.96cm
A baseball player went up to bat 250 times in a season. He hit the ball 100 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.
A. 2/3
B. 2/5
C. 3/5
D.5/2
Answers
The rate of balls hit to times at bat will be 2/5. Then the correct option is B.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
A baseball participant moved up to bat 250 times in a season. He shot the ball 100 times.
Then the rate of balls hit to times at bat is given as,
Rate = 100 / 250
Rate = 2 / 5
The rate of balls hit to times at bat will be 2/5. Then the correct option is B.
More about the rate link is given below.
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Need help with this question is as a symbolic equation
Answers
Given:
Johny picks apples on an orchard.
He gets paid $20 plus $1.50 per bushel.
Let, x denote number of bushel.
The total cost is written as,
\(C(x)=20+1.50x\)Answer:
\(C(x)=20+1.50x\)This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 56 m.
What is the volume of the rectangular prism?
Responses
A.212 m³
B.525 m³
C.5,600 m³
D.29,400 m³
Answers
Hope this helps:D