the slope is -3 and the y intercept is -2
A field with an area of 2880 ft2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.
Answer:
width is 48, length is 60
Step-by-step explanation:
Answer: The dimensions of the field are
width = 40 ft and length = 60 ft.
Step-by-step explanation: Given that a field with an area of 2880 ft² has the shape of a rectangle with length 12 ft larger than the width.
We are to find the dimensions of the field.
Let w ft be the width of the given rectangular field.
Then, the length of the field will be (w + 12) ft.
According to the given information, we have
[tex]w \times (w+12)=2880\\\\\Rightarrow w^2+12w=2880\\\\\Rightarrow w^2+12w-2880=0\\\\\Rightarrow w^2+60w-48w-2880=0\\\\\Rightarrow w(w+60)-48(w+60)=0\\\\\Rightarrow (w-48)(w+60)=0\\\\\Rightarrow w-48=0,~~~w+60=0\\\\\Rightarrow w=48,-60.[/tex]
Since the measure of a side of a rectangle cannot be negative, so w = 48.
This implies that
length of the field = w + 12 = 48 + 12 = 60 ft.
Thus, the dimensions of the field are
width = 40 ft and length = 60 ft.
Find the mistake made in the steps to solve the equation below.
Answer:
B. Step 3 is incorrect, it should be x = 10/8
Step-by-step explanation:
Answer:
The correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]6x-1=-2x+9[/tex]
Step 1: Use addition property of equality.
[tex]8x-1=9[/tex]
Step 2: Use addition property of equality.
[tex]8x=10[/tex]
Step 3: Use Division property of equality.
[tex]x=\frac{10}{8}[/tex]
Step 4: Now simplify.
[tex]x=\frac{5}{4}[/tex]
Now, by comparing these steps with the provided image we can concluded that the step 3 is incorrect.
Thus, the correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
PLZZZ HELP GIVING AS MANY POINTTS
The answer is
10+x/6
Answer:
10 + x/6
Step-by-step explanation:
This is the equation you make
Look at the steps used when solving 4(x−3) = 8
Which step is the result of combining like terms?
step 2 i believe is the answer
Answer:
Step 2
Step-by-step explanation:
PLS help me fast!!!!
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
A box plot is drawn with end points at 0 and 16. The box extends from 2 to 12 and a vertical line is drawn inside the box at 7
40
60
70
80
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the box plot shows the number of books sold each day at a store for 80 days.
A box plot is drawn with end points at 0 and 16. It means minimum value is 0 and maximum is 16.
The box extends from 2 to 12. It means first quartile is 2 and the third quartile is 12. A vertical line is drawn inside the box at 7, it means median is 7.
He have to find the number of days in which the bookstore sell 2 to 12 books.
2 is first quartile and 12 is third quartile, we know that
[tex]Q_1=25\%[/tex]
[tex]Q_3=75\%[/tex]
[tex]Q_3-Q_1=75\%-25\%=50\%[/tex]
The data lies between Q₁ and Q₃ is 50% of the data.
[tex]80\times \frac{50}{100}=40[/tex]
The bookstore sell 2 to 12 books in 40 days.
Therefore, the correct option is 1.
Answer:
I had to do this and i got option 1, too (40)
Step-by-step explanation:
I did it and got it right on my exam.
Determine whether the given lengths can be sides of a triangle. HELLLLP MEEEEE GUYS ;)))
Answer:
A, both can be sides of a triangle
Step-by-step explanation:
you add up the lowest side lengths and see if they are more than the largest side lengthif they are then they can be side lengthsAnswer:
B
Step-by-step explanation:
7^2=49 40^2=1600 1600+49=1649 is not equal to 41^2 so its not a right triangle
12/4=3 16/4=4 20/4=5 3,4,5 is one of the combinations of a right triangle
Please help me!!!
The volume of a cube is 125 cubic centimeters. a rectangular prism with three different whole number dimensions has the same volume. what are the dimensions of the rectangular prism?
Answer:
375
Step-by-step explanation:
Multiply 3x125=375cu
A rectangular prism with three different whole number dimensions has the same volume will be 1 cm by 5 cm by 25 cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a cube is 125 cubic centimeters.
A rectangular prism with three different whole number dimensions has the same volume.
Then the dimension of the rectangular prism will be
Volume of rectangular prism = Volume of cube
Volume of rectangular prism = 125
Volume of rectangular prism = 1 x 5 x 25
More about the geometry link is given below.
https://brainly.com/question/7558603
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On August 1, Charles’ checking account register showed a balance of $2,416.78. After reviewing his bank statement he noticed an NSF charge in the amount of $70.25, a service charge of $19.00, and a note collected for $456.00. There was one deposit not yet credited for $155.00 and no checks outstanding. What was his reconciled balance? $2,820.53 $2,902.53 $2,902.35 $2,783.53
Answer:
$2,783.53
Step-by-step explanation:
Answer:
$2783.53
Step-by-step explanation:
$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53
Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.
Savemore National bank starts the day with 2.81 times 10^4 dollars in the vault. At the end of the day, the bank has 3.5 times 10^5 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning ?
ANSWER
There is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault in the evening than in the morning.
EXPLANATION
The amount of money in the vault in the morning is
[tex]2.81 \times {10}^{4} [/tex]
The amount of money in the vault at the end of the day is:
[tex] 3.5 \times {10}^{5} [/tex]
To find how much more money is in the vault at the end of the day than there was in the morning, we subtract to get:
[tex]3.5 \times {10}^{5} - 2.81 \times {10}^{4} [/tex]
[tex] = 3.5 \times 100000 - 2.81 \times 10000[/tex]
[tex]350000 - 28100= 321900[/tex]
Therefore, there is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault.
math help here please
Answer:
the answer is D. It does not have enough information
Can someone please help me out
Answer:
B
Step-by-step explanation:
The distance of a run compared with the number of times around a track.
The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.
For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.
Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.
Complete the table to show the values of x between 0.5 and 1
Answer:
2.4 2.2
2.3 2.4
2.2 2.6
2.1 2.8
2 3
What is the surface area of the prism?
To get the answer type 2•4•3+2•4•2+2•3•2
in to a calculator And you’ll get “52m”
Answer:
52 m²
Step-by-step explanation:
The prism has 6 rectangular faces.
Opposite faces are congruent, that is
top/bottom, front/back and sides
A = 2(4 × 3) + 2(3 × 2) + 2(4 × 2)
=( 2 × 12) + (2 × 6) + (2 × 8)
= 24 + 12 + 16
= 52 m²
Which of the following options is a better purchase for a bicycle?
Option 1: A cash sale for $88
Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months
Answer:
Option 3
Hope this helps you out!
Option 3 the answer hopes this helps u out
Find the range of f(x) =2x-6 for the domain (-2,1,5,8)
Answer: range: (-10,-4,4,10)
Step-by-step explanation: range is y value and domain is x value
f(x) will be ur y
in place of x put the value of domain
example:
f(x) =2x-6y=2(-2)-6
= -10
2) y=2[1]-6
= -4
like that do the rest of the working to find ur range.
Answer:
the range is : (-10,-4,4,10)
Step-by-step explanation:
calculate :
f(-2) = 2(-2) -6 = -10
f(1) = 2(1) -6 = -4
f(5) = 2(5) -6 = 4
f(8) = 2(8) -6 = 10
the range is : (-10,-4,4,10)
the vector [ 5,1] represent the velocity of an ultralight plane what is the direction of this vector to the nearest degree
Answer:
[tex]011\degree[/tex]
Step-by-step explanation:
The direction of a vector is given by;
[tex]\theta=\tan^{-1}(\frac{y}{x})[/tex]
The given vector is <5,1>.
The x-component of this vector is 5 and the y-component is 1.
We substitute the values into the formula to obtain;
[tex]\theta=\tan^{-1}(\frac{1}{5})[/tex]
We use our scientific calculator to obtain;
[tex]\theta=11.3099[/tex]
Therefore the direction of the given angle is [tex]011\degree[/tex] to the nearest degree.
The length of the first side of a triangle is 3 more than twice the second side, and three half of the third side. Find the lengths of the sides if the perimeter of the triangle is 31.
Answer:
x = 15
y = 6
z = 10
Step-by-step explanation:
Okay, let's set up the equation(s).
x = 3 + 2y
x = 3/2z
x + y + z = 31
With some algebra that God knows how came through my mind, I got this:
x = 15
y = 6
z = 10
If there are 100 postage stamps in a sheet of stamps, and each stamp cost 29 cents, how much will one sheet of stamps cost?
Answer:
2.99
Step-by-step explanation:
To find the cost of one sheet of stamps, you multiply the number of stamps (100) by the cost per stamp (29 cents), which equals 2900 cents.
To find out how much one sheet of postage stamps will cost, we need to follow these steps:
Multiply the number of stamps by the cost of each stamp: 100 stamps × 29 cents.100 × 29 = 2900 cents.Therefore, the cost of one sheet of stamps is 2900 cents.
23, 34, 27, 7, 30, 26, 28, 31, 34
What number is an outlier for the given data?
A) 7
B) 23
C) 31
D) 34
Easy 10 points :p
A. 7
7 is far away from the rest of the numbers, so it is an outlier.
The answer is A) 7 since it doesn’t fit in with the other numbers. In other words it’s the smallest number.
what is the probability of spinning a 4 on the spinner below
Answer:
D. 1/8
Step-by-step explanation:
Count the total sections - 8
Count how many 4s there are - 1
Reduce if possible, not possible here.
The probability of spinning getting 4 on the spinner will be 0.125.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The shinner has 8 equal sections.
The total number of events will be
Total event = 8 {1, 1, 1, 2, 2, 3, 3, 4}
Then the probability of spinning getting 4 on the spinner will be
Favorable event = 1 {4}
Then the probability will be
P = 1 / 8
P = 0.125
P = 12.5%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Graph the equation by translating y = |x|. y = |x+2|
To graph y = |x+2|, consider the parent function y = |x| and translate it 2 units to the left. Choose x-values, find the corresponding y-values, and plot the points. Connect the plotted points to obtain the graph of y = |x+2|.
Explanation:To graph the equation y = |x+2|, we will first consider the parent function y = |x|, which is a V-shaped graph that passes through the origin. Translating the graph y = |x| to the left by 2 units gives us y = |x+2|.
To plot the graph, we can choose various x-values and find the corresponding y-values. For example, when x = -4, y = |(-4)+2| = 2. Similarly, when x = -2, y = |(-2)+2| = 0. We can continue this process to find more points and then plot them on a coordinate plane.
By connecting the plotted points, we will obtain the graph of y = |x+2| which will be a V-shaped graph shifted 2 units to the left.
the values of a and b
Answer:
a = 4, b = 3Step-by-step explanation:
Look at the picture.
For the given line segment, write the equation of the perpendicular bisector.
a. y= 4/5x + 17/10
b. y= 5/4x+ 17/10
c. y= 4/5x + 47/10
d. y= - 4/5 X - 47/10
will mark brainliest if correct and give 50 pts.
D.) -4/5X-47/10, because the slope of the line is 5/4 and the perpendicular bisector must be the opposite reciprocal, meaning the numerator and denominator flip and then it becomes negative. So the opposite reciprocal of 5/4 is -4/5, leading us to answer choice D
HELP ME PLSSSSS!!!!!
Answer:
b
Step-by-step explanation:
What is the largest of three consecutive positive integers if the product of the two smallest is equal to 2 more than 8 times the longest.
Answer:
11Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 ust the distributive property
n² + n = 8n + 16 + 2
n² + n = 8n + 18 subtract 8n from both sides
n² - 7n = 18 subtract 18 from both sides
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 add 9 to both sides
n = 9
n + 2 = 0 subtract 2 from both sides
n = -2 < 0
n + 2 = 9 + 2 = 11
Please help fast!!!
A circle has a circumference of 10pi yards find the area in terms of pi
25pi yards squared is the area
Which is a function of x?
can you put up a picture then I may be able to help
Answer:
Variable
Step-by-step explanation:
x is a variable or a multiplication sign
63. Grace bought a dress, d, that was 45% off the regular price, r.
A Write an equation that represents this situation.
B The price of the dress before the 45% discount was $85.00.
After the discount, a 9% sales tax was added to the final sale
price. Calculate the final cost of Grace's desk. Show how you
found your answer.
A.
r - (r x .45) = d (The discounted price of the dress.)
B.
85 - (85 x .45) = 46.75
Now to find the final cost.
46.75 + (46.75 x .09) ~ 50.96
The final price is $50.96.
Hope this helps!
If it does, it would help a lot if you make me brainliest.
Find the range of the given data set.
, , 1, 1
1
Answer: The range is the difference between the largest and the smallest number, in this case the range would be 0
Step-by-step explanation:
Answer:
You missed a few numbers there, but the answer is 5/8 I just had this question:))
Step-by-step explanation:
What is the value of x?
6
8
10
12
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
Answer:
8
Step-by-step explanation: