Answer:
28.125
Step-by-step explanation:
If it is going 45mph and every hour it decreases 1.6mph per inch of snow added. so 45 divided by 1.6 is 28.125.
A rectangular playground has dimensions and area as shown below.
Complete the work to find the dimensions of the rectangle.
x(4x + 5) = 450
4x2 + 5x = 450
4x2 + 5x – 450 = 0
(4x + 45)(x – 10) = 0
The rectangle has a width, x, of
, and a length of
.
9514 1404 393
Answer:
x = 10width = 10length = 45Step-by-step explanation:
The remaining work is to identify the values of x that make the factors zero:
4x +45 = 0
x = -45/4 . . . . negative dimensions are not useful
x -10 = 0
x = 10
The width is x, so the width is 10.
The length is 4x+5, so the length is 4·10+5 = 45.
The rectangle has a width, x, of 10 and a length of 45.
A homeowner has $360 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per foot. The fourth side is to be constructed with wood fencing at a cost of $6 per foot. Find the dimensions of the rectangle that will maximize the area of the rectangle.
Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
2X +7 < 3X -5——————————————————————————————-
Answer:
x>12
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
2x+7=3x-5
2x=3x-5-7
2x=3x-12
2x-3x=-12
-x=-12
x=12
or
2x+7=0
2x=-7
x=-3.5
3x-5=0
3x=5
x=1.6
-3.5<1.6
In the slope ratio, the change in the X-coordinates from one point to another on a line is the________.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answer:
A. if not then b.
Step-by-step explanation:
The change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.We have the change in the X - coordinates from one point to another on a line.
In a slope ratio, the change in the X - coordinates from one point to another on a line can be represented as -
x₂ - x₁ = Δx
Therefore, the change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
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Solve n + 5(n - 1) = 7
Answer:
N = 2
Step-by-step explanation:
n + 5(n-1) = 7
n + 5n - 5 = 7
6n - 5 = 7
6n = 12
n = 2
HOPE THIS HELPS
PLZZ MARK BRAINLIEST!!!
What decimal is equivalent to 21% ?
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.
A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 .
Find the probability that a single randomly selected value is less than 149.6.
P(X < 149.6) =
Answer:
P = 0.022
Step-by-step explanation:
Draw a normal distribution curve
Find the z score.
z score = 0.12
Find the probability for the z score.
P = 0.478
Subtract probability from 0.5
0.5 - 0.478 =0.022
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
11
Step-by-step explanation:
55 divide 5 = 11
11 + 3 = 15
5 × 11 = 55
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=
-55-5a=
-40-40/-5=8
a=8
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
store C
Step-by-step explanation:
if you divide 7.56 by 7 it'll be $1.08 per candy bar.
The table shows the outcomes and probabilities for a spinner game.
Which statement is true?
A. On average, players lose $0.50 per game.
B. Every player loses $0.50 per game.
C. On average, players lose $2.40 per game.
Answer: on average, players lose $.50 per game
Step-by-step explanation: i just took the test and got a 100!!!
Answer:
On average, players lose $0.50 per game.
Step-by-step explanation:
Got it right on the test.
What is the slope of the line shown below?
Answer: The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
How do I find slope in an equation? For example, y= 1/4x+3
Answer:
Slope = 1/4
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
m = Slope
Step 3:
y = 1/4x + 3 Equation
Answer:
Slope = 1/4
Hope This Helps :)
Answer:
It depends if it is in a word problem or on a graph
Step-by-step explanation:
In a word problem you are looking for 2 numbers one that is a rate and one that is a beginning number. The rate is going to be the slope and the beginning number is going to be the y-intercept.
The equation is y=mx+b
The m is the slope and the b is the y-intercept
On a graph wherever the line crosses through the y-axis that is the y-intercept or the b in the equation. To find the slope however is a little more difficult you have to rise over run it. This means that you find a point that is perfect or a (pretty point). Then you go up from the y-intercept to the x line that it is resting on and then you go over to that point.
In the equation provided the y-intercept is 3 or (0,3) and the slope is 1/4 so you go up 1 and over 4 and you would get your next point (4,4). Hope this helps.
help please fill out empty spots
Answer:
See the attached image below for the filled out chart.
First box = 0.1Second box = 0.1Third box = 4Fourth box = -3Fifth box = 3Sixth box = -1===================================================
Explanation:
Part 1
Pick any term and subtract off its previous term
So for instance 4.2 - 4.1 = 0.1
Or you could say 4.3-4.2 = 0.1
Whichever pair you pick, you should find that the common difference is 0.1
This means we add 0.1 to each term to get the next term. Therefore, the recursive rule is [tex]a_n = a_{n-1} + 0.1[/tex] which says "add 0.1 to the (n-1)th term to get the nth term". The (n-1)th term is the term just before the nth term.
The first term is [tex]a_1 = 4[/tex] as shown in the given sequence 4, 4.1, 4.2, ...
------------------------------
Part 2
We'll follow the same idea as part 1.
Subtract any two adjacent terms
-10-(-7) = -10+7 = -3
We add -3 to each term to get the next. This is the same as subtracting 3 from each term, which is reflected in [tex]a_n = a_{n-1}-3[/tex]
The first term is [tex]a_1 = -1[/tex]
Everything is summarized in the diagram below.
A team of 5 students is chosen at random from 14 girls and 13 boys. Determine
in how many ways can the team be chosen if
a) there are no restrictions.
b) there must be more girls than boys.
Answer:
A)9687600
b)340704
Step-by-step explanation:
A Ferris wheel can accommodate 55 people in 30 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answer:
i believe your answer is 550 people, which would be 110/hr
Step-by-step explanation:
Hope that helps!
8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
Which ordered pairs (x,y) are solutions to the linear equation 2x+3y=6
2,3
0,2
3,0
3, -2
6,-2
0,6
Answer:
I think it is 0,2
Step-by-step explanation:
Because you need to substitute the ordered pairs into the linear equation:
so,
2(0)+3(2) = 6
6=6
The two side, so equation are identical, so the correct answer is (0,2).
I hope this helps!
The solutions of 2x+ 3y= 6 are
0,23,06,-2What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2x+3y=6
Now, (2,3)
2x+3y=6
2(2)+ 3(3) = 4+ 9 =13
(2,3) is not solution
and, (0,2)
2(0)+ 3(2) = 0+ 6= 6
(0, 2) is a solution
and, (3, 0)
2(3)+ 3(0) = 6+0 = 6
(3, 0) is a solution
and, (3,-2)
2(3)+ 3(-2) = 6- 6=
(3, -2) is not solution
and, (6, -2)
2(6)+ 3(-2) = 12- 6= 6
(6, -2) is a solution
and, (0,6)
2(0)+ 3(6) = 17
(0, 6) is not solution
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2:5 =4: ?
Answer
Explain
A tourist can bicycle 26 miles in the same time as he can walk 6 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 25-mile trail
Answer:
It would take him 3 miles to talk a 25-mile trail
Step-by-step explanation:
A local charity is selling seats to a baseball game. Seats cost $20 each, and snacks cost an additional $5 each.
The charity needs to raise $400 to consider this event a success. Choose the linear equation that describes the
problem.
Answer:
let seat as x,
and snack as y.
so the linear equation is 20x+5y=400.
6x-2y=12 .... -6+6y=12 solve the system by elimination
What are the measures of angles B and C?
Figure ABCD is a parallelogram.
A.B = 15°; C = 165°
B.B = 65°; C = 115°
C.B = 65°; 2C = 65°
D.B = 15°; C = 15°
For the given parallelogram, the measure of angle B is 65° and the measure of angle D is 65°. The answer is the third option.
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, for a parallelogram, its the opposite sides are equal and parallel. For a parallelogram is noted too that the opposite angles are equal.
The question gives the values of the angle B and D in function of n.
Therefore, considering that the opposite angles of the parallelogram (ABCD) are equal, so D=B. Thus,
6n-25=3n+20
6n-3n=20+25
3n=45
n=15°
Replacing the value of n in each angle (B and D). Then,
D=6n-25= 6*15-25= 90-25= 65°
B=3n+20= 3*15+20= 45+20 = 65°
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A flag measures 150 feet by 75 feet. Find its area
Area = length x width
Area = 150 x 75
Area = 11,250 square feet
Answer:
11,250 ft
[tex] {?}^{2} [/tex]
A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The
graph of the total cost, C. in dollars as a function of the weight, z. In pounds of the crushed stone is shown. What is the meaning the y-intercept?
Item 2
Hem
C(2)
Item 4
items
480
440
400
360
320
280-
Cost (dollars)
240
200
100
EF
o
Type here to search
LOT
*
Answer:
The cost of the delivery is $120
Step-by-step explanation:
13. What is the value of x?
t
(2x +40)
(x +90°
С
D
A. 25
B. 50
C. 75
D. 85
9514 1404 393
Answer:
B. 50
Step-by-step explanation:
The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.
2x +40 = x +90
x = 50 . . . . . . . . . . . subtract x+40
The value of x is 50.
_____
Check
2x+40 = 2×50 +40 = 140
x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be
___
Additional comment
The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
Step-by-step explanation:
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Have a good day :)
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Hence, the x-intercept is 13.
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2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
Karina pays $2.64 for pencil erasers. The erasers cost 0.11 each. how many erasers did she buy?
Answer:
She bought 24 erasers
Step-by-step explanation:
$2.64 ÷0.11=24
Answer: Karina bought 24 erasers.
Step-by-step explanation:
$2.64 ÷ 0.11 = 24 erasers
4.21 in expanded form
Answer:
4.21
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
4.21 =
4
+ 0.2
+ 0.01
Expanded Factors Form:
4.21 =
4 × 1
+ 2 × 0.1
+ 1 × 0.01
Expanded Exponential Form:
4.21 =
4 × 100
+ 2 × 10-1
+ 1 × 10-2
Word Form:
4.21 =
four and twenty-one hundredths
Step-by-step explanation:
