Answer: The length is 13cm and the width is 7cm
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = W*L
In this case we have:
L = (2*x + 9) cm
W=(3*x + 1) cm
Then the area of the rectangle is:
A = (2*x + 9)*(3*x + 1) cm^2
A = (6*x^2 + 2*x + 27*x + 9) cm^2
A = (6*x^2 + 29*x + 9) cm^2
now we remove two squares with sides of x cm
The area of each one of these squares is (x cm)*(x cm) = x^2 cm^2
Then the area of the figure will be:
area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2
area = (4*x^2 + 29*x + 9) cm^2
Now we know that the area of this shape is 83 cm^2, then we need to solve:
83 cm^2 = (4*x^2 + 29*x + 9) cm^2
0 = (4*x^2 + 29*x + 9) cm^2 - 83 cm^2
0 = (4*x^2 + 29*x - 74) cm^2
Then we need to solve:
0 = 4*x^2 + 29*x - 74
Here we can use Bhaskara's equation, the solutions of this equation are given by:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]
Then the two solutions are:
x = (-29 - 45)/8 = -9.25 (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).
The other solution is:
x = (-29 + 45)/8 = 2
x = 2
Then the length and width of the rectangle are:
Length = (2*2 + 9)cm = 13 cm
Width = (3*2 + 1)cm = 7cm
what is the equation of the line that passes through the point (3,-8)and has a slope of 0
Answer:
y = -8
Step-by-step explanation:
no slope so y is always the same, the y value is -8 so y = -8
Waits, Anniston
In a classroom of 28 students, 12 students are girls. If a student is selected randomly, what is the probability that the student is a boy?
Answer:
Step-by-step explanation:
28 total students
12 are girls
16 are boys
the question is, what percent of 28 is 16
b/c that's how likely it would be to pick a boy in a random pick
16/28=0.571428
so about 57 %
or 57 out of 100
Answer: 16/28 or 8/14 or 57%
* they all are equal so it doesn’t matter with of the three you pick *
Steps:
28 - 12 = 16
16/28 = .5714
57.14%
57%
The number of times the family stops to rest during a
trip is dependent upon the number of miles the family
travels. The table below shows the number of stops
made and the number of miles the family traveled.
Predict the number of stops the family will make for a
trip of 900 miles.
Miles
Rest Stops
150
300
450
600
900
1
2
3
4
?
A 5
B 6
C 7
D 8
Answer:
B) 6
Step-by-step explanation:
they make one stop every 150 miles
900/150 = 6 stops
The family will make 6 stops for a trip of 900 miles.
So, the answer is B. 6.
Given is table showing number of stops made and the number of miles the family traveled.
The number of times the family stops to rest during a trip is dependent upon the number of miles the family travels.
We need to determine the number of stops the family will make for a trip of 900 miles.
To predict the number of stops the family will make for a trip of 900 miles, we can observe the pattern in the given data.
From the table, we can see that the number of stops is increasing by 1 for every 150 miles traveled.
So, to find the number of stops for 900 miles, we can divide 900 by 150 and round up to the nearest whole number since the number of stops cannot be a fraction.
900 miles / 150 miles = 6
Therefore, the family will make 6 stops for a trip of 900 miles.
So, the answer is B. 6.
Learn more about Number Patterns click;
https://brainly.com/question/23136125
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Order these numbers from least to greatest.
17
9
8.49,8
20
7.479,
2
An interpretation of data is?
Answer:
Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
Answer:
The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
Hope that helps :)
Robert got his hair cut for $21. He gave his barber a 15% tip. What was the
TOTAL Robert paid? *
Answer:
24.15
Step-by-step explanation:
I think
Write an explicit formula for an the nth
term of the sequence 8, 48, 288
Answer:
Step-by-step explanation:
a₁ = 8
a₂ = 48
Common ratio r = a₂/a₁ =6
nth term = a₁rⁿ⁻¹
= 8×6ⁿ⁻¹
Okay hopefully the picture went but I need help foiling this please
Answer:
[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5
Step-by-step explanation:
This is the equation that you started off with:
(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])
You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:
(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))
So, applying that idea to the actual equation:
x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])
= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5
= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5
or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]
PLEASE HELP
For g(x)=x^2 -
- x, find g(x) when x = -8.
g(-8) =
How many vehicles were driven at least 200 thousand kilometers
vehicles
Answer:
5
........................
6. Meena’s family had a pizza for dinner. The pizza was cut into 8 equal pieces. Meena ate 1 piece, her brother ate 2 pieces, and her mother ate 3 pieces. a) What fraction of the pizza did Meena eat? Her brother eat? Her mother eat? b) Which person’s fraction can you write in more than one way? Explain. c) What fraction of the pizza was eaten? What fraction was left?
Answer: Meena ate 1/8. Her brother ate 2/8, and her mom ate 3/8ths of the pizza. Her brother can be simplified from 2/8 to 1/4. Lastly, 6/8ths of the pizza has been eaten. 2/8ths is all that remains.
Step-by-step explanation:
how many dollars are in 50 quarters
Answer:
There are $12.50 dollares in 50 quarters
Step-by-step explanation:
50 / 4 = 12.5
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Answer:
12.50
Step-by-step explanation:
quarters = 25 cents
1 dollar = 4 quarters
50 ÷ 4 = 12.5
12 dollars and 50 cents
Please help I don’t get it
Answer:
4.718592
Step-by-step explanation:
To get to -14.4 from 18 you multiply 18 x 0.8
Repeat that until you get to the 7th term
18 (1st)
18 x 0.8 = -14.4 (2nd)
-14.4 x 0.8 = 11.52 (3rd)
11.52 x 0.8 = 9.216 (4th)
9.216 x 0.8 = 7.3728 (5th)
7.3728 x 0.8 = 5.89824 (6th)
5.89824 x 0.8 = 4.718592 (7th)
Find the missing length. The triangles are similar.
Can someone help me?
Need to show the work
Answer:
28
Step-by-step explanation:
The ratio of the triangles is 12:15 which is equal to 4:5
Then you can use that ratio to find the ?
35 would be the 5 so 4 would be multiplyed by 7
Which is equal to 28
what is The graph of y=-3x+4
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: −3 . y-intercept: (0,4)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
X Y
0 4
3/4 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −3. y-intercept: (0,4)
x y
0 4
4/3 0
Step-by-step explanation:
If JKLM is an isosceles trapezoid, find each value listed below.
classify this triangle
Answer:
Acyte, Scalene. please mark brainliest when its correct:)
Answer:
acute scalene
Step-by-step explanation:
The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :
Help me please :) will mark brainiest
Answer:
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Step-by-step explanation:
Okay so lets think about this by first looking at the graph we are given.
Whatever is going on, its going up, and steadily. There's no points were the line goes down or curves, right? So it's constant and forward. So now let's look at the possible answers.
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Is is constant? Yes, the rate is 10 cm/hr. Does it stop? No, you don't take a break. Is it forward? Yes, you are making more of the necklace, not less.
Thinking of the y-axis as amount of necklace made, and x-axis as time spent, this is the right graph.
So this is your answer!! Just to be sure, let's look at the other possible answers.
2. The height of a balloon as it rises, gets caught in a tree, then continues to rise.
This is not constant, because it gets stuck and stops. But it is forward, because it is rising.
Thinking of the y-axis as the height of the balloon, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
3. The total distance you are from home if you ride your bike three mi/hr for 1 hour, then stop for a rest.
It is not constant, because you stop and take a break. But it is forward, because you are moving forward.
Thinking of the y-axis as the speed or distance from home, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
4. The volume of water in a bath tub as it is draining.
This one IS constant, but in the wrong direction. The tub is draining, not filling, so the amount is decreasing. This would be the correct graph, if the slope were negative and the line was like this \ and not like this /.
Thinking of the y-axis as the amount of water in the tub, and x-axis as time passed, this is NOT the right graph.
This is not the right answer.
These leave us with the first answer as being correct.
whoever can help me will gwt the brainliest!
Answer:
9. 7*12*14=1176
10. 6*5*8=240
11.6*8*15=720
12. 11*5*9=495
13. 7*16*28=3136
14. 13*8*24=2496
The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.
Answer:
1: A (7.5x – 100 > 79.86 + 5.8x)
2: D (x > 105.8)
3: D (106)
Step-by-step explanation:
EDG 2021
Answer:
The inequality that will determine the number of items that need to be sold to make a profit is
✔ 7.5x – 100 > 79.86 + 5.8x
The solution to the inequality is
✔ x > 105.8
The company must sell at least
✔ 106
items to make a profit.
Have a bless day. :D
A piece of drill rod 2 ft 6 in. long is to be cut into pins, each 2 1/2 in. long.
A. Assume no loss in each cut. How many pins will you get?
B. Assume 1/16 in. waste in each cut. How many pins will you get?
Please explain how you got your answer for both A and B.
Answer:
A) 12 pins
B) 11 pins
Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?
Answer:
.
Step-by-step explanation:
If the height of the aircraft is 5000metres,calculate the temperature outside
Answer:
222
Step-by-step explanation:
for sure 100%
gurantee at your own risk
Given the sequence {6144, 3072, 1536, ...}, use the rule to find a 15.
Answer:
768
Step-by-step explanation:
The sequence is just dividing by 2 each number
6144/2=3072
3072/2=1536
1536/2=768
Answer:
0.1875?
Step-by-step explanation:
Which expression is not equivalent to
3x – 2?
Answer:
Step-by-step explanation:
What are the options?
what is 8+192x5, please help
Answer:
8+192x5=8+960=968 is your answer
Marco is in elementary school. His father is 30 years older than Marco, and his mother is 4 years younger than his father. The ages of Marco, his mother, and his father are all prime numbers. What are their ages?
If u answer this is will give brainlest because today i got my report card!!!1 the first person who answers is the lucky duck!!!!!!
Answer:
marco is 11
dad is 41
mom is 37
Step-by-step explanation:
gg ez
Find the Perimeter of the parallelogram with endpoints A(0, 2), B(2,5), C(5,0), and D(3,
-3).
Answer:
6 + 4 + 6 + 4 = 20
Step-by-step explanation:
Using the end points is very helpful from 1 end point to the other count as much as the squares as possible along the line until it reaches the other endpoint.
Select each expression that is equivalent to 18x + 3.
Answer:
21 is the answer for 18x +3
Step-by-step explanation:
18x + 3
x=3+18
x=21
A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])
y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!