Answer:
8x=96 inch
Step-by-step explanation:
How its in the draw you have this situation then the equation that model is the next one:
2*(3X) + 2*X = 96 inch
6X + 2X = 96 inch
8X=96 inch
We must multiply due that there is two sides that measure the same.
The equation which models this situation is,
⇒ 96 = 2 ((3 + 2x) + x)
or ⇒ 96 = 2 (3 + 3x)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rectangle has a length that is 3 more than twice the width.
And, Its perimeter is 96 inches.
Let the width of rectangle = x
So, The length of rectangle = 3 + 2x
Now, We know that;
⇒ Perimeter of rectangle = 2 (Length + Width)
Substitute all the values, we get;
⇒ Perimeter of rectangle = 2 (Length + Width)
⇒ 96 = 2 ((3 + 2x) + x)
⇒ 96 = 2 (3 + 3x)
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42 is 84% of what number
Answer:
50
Step-by-step explanation:
Because 84% out of 50 is 42
Find the factored form of the expression. Check your answer.
5x2 +5
5x² +5= 1 (Type an exact answer, using radicals and i as needed.)
Answer:
5² × 5
5²: 10
karena ada pangkat 2
jadi kita kalikan dengan jumlah yang
dihitung yang sesuai dengan pangkat nya
Contoh:
5×10+5 =
55
Step-by-step explanation:
( Type an exact answer,using radicals and i as
needed) .
help me solve:
-15x + 4 ≤ 34 AND -6x + 70 > -2
Answer:
-2 ≤ x < 12
Step-by-step explanation:
-15x +4 ≤ 34
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
__
-6x +70 > -2
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
__
The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12
y = 15 when x = 60, find y when x = 45
Answer:
y=0
Step-by-step explanation:
Answer: y = 30
hope it helps!
HELP!!! ITS DUE TODAY
Answer:
Well one thing that created a demand was the fact that more and more people were getting farms and also slaves were dying. It was mainly the colonization of the new world
Step-by-step explanation:
The history is the Portugese came to africa and started kidnapping them and taking them to portugal. they were looked at as a novelty so more and more people started to get them and also bring them to america with them
Write the exponent for the expression.
3x3
Answer:
First, rewrite the expression as:
3
x
3
×
1
8
Next, use this rule of exponents to rewrite the expression again as:
x
a
×
b
=
(
x
a
)
b
3
x
3
×
1
8
⇒
3
(
x
3
)
1
8
Now, use this rule of exponents to write the expression as a radical:
x
1
n
=
n
√
x
3
(
x
3
)
1
8
=
3
8
√
x
3
Step-by-step explanation:
Step-by-step explanation:
it is 3 to the power of 3 or 3 with a tiny three next to it. The answer to 3 to the power of three is 27. 3x3=9 9x3=27
PLEASE HELP!!
Which graph shows a reflection of the rectangle across the horizontal dotted line?
Answer:
B
Step-by-step explanation:
The answer is B because if its being reflected its like symmetry horizontally
Sorry if this made no sense :c
Have a good day!
The correct option is Option D: The figure in Option D is reflection about the dotted horizontal line.
What is reflection?Reflection is the geometrical transformation of the figure about an axis, without changing the size and shape of the image in which every point is at same distance from the axis as in the reflected image.
Here the original image is in the 2nd quadrant.
the reflection axis is horizontal and situated in the 3rd and 4th quadrants.
So by reflecting about that axis without changing the size and shape of the image for which the distance of the original image from the axis will be equal to the distance of the reflected object from the axis.
As original image is in the 2nd quadrant the reflected will be drawn at the 3rd quadrant opposite to the original image.
Checking all the options only in Option B and option D have the reflected image at the 3rd quardant. But in Option B the reflected image is situated on the reflection axis which is against the rule of reflection.
Therefore The correct option is Option D: The figure in Option D is a reflection about the dotted horizontal line.
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The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
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a basketball weights approximately 1.35kg what is this mass in grams
Answer:
1350
Step-by-step explanation:
Answer:
1,350 grams is the answer.
One number is 4 more than three times a smaller number. If twice the lager number is decreased by three times the smaller number, the result is 32. Write an equation and solve to determine the numbers.
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)
Line segment AB is shown on a coordinate grid:
1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.
2.) Line segment CD is shown on a coordinate grid:
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.
3.) A shape is shown on the graph:
A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.
A rotation is shown in the drawing:
A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation
Answer:
1) choice B, they are equal in length
2) choice A, theyre equal in length
3) Choice D, (-3,0) (-3, -3) (-1, -3)
4) Choice A, Clockwise 90- degree rotation
Step-by-step explanation:
The statements which describe A'B' is:
A'B' and AB are equal in length ⇒ (B)
Step-by-step explanation:
Let us take about reflication:
⇒ Reflections are mirror images, means the shape or the size of
the figure does not affect by reflection, think of "folding" the
graph over the y-axis or the x-axis
⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in
the y-axis and used the formula (x, y) → (x, -y) for a reflection in
the x-axis.
In our question segment AB, where A = (1, 3) and B = (5, 3) is
reflected about the y-axis
By using the rule above
∴ A' =(-1, 3)
∴ B' = (-5,3)
∵ Reflection does not change the shape or the size of the original figure
∴ Line segment A'B' has the same length of line segment AB
The correct answer is:
A'B' and AB are equal in length
You can check your answer by finding the lengths of AB and A'B'
∵ The length of AB = 5 - 1 = 4 units
∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units
∴ AB = A'B'
Note:
If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.
Pleaseeeee helppppppp
Answer:
1.) y=3x
2.) y= -2/3 x + 1
3.)y = -2/3 x - 4
4.) y = 4
5.) y = x + 5
6.) y = 2x
-f(a) Think of this as “the opposite of f(a).”
-f(a)=
F) does f(3)=f(-3)? (Yes or No)
D) does f(a) = f(-a)? ( Yes or No)
Answer:
F) yes
D)no
no
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The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second number?
Answer:
10:40
Step-by-step explanation:
What’s the midpoint of GO on a number line from -4 to 4
Answer:
midpoint is 0
Step-by-step explanation:
PLEASE HELP Identify and solve the inequality that
represents how many $20 bills, n , you can withdraw from the account without
going below the minimum balance. Current amount $320.00 minimum $100.00
you can withdraw 11 times before it reaches the minimum of $100
1 When the product of 4 and a number x is added to 12, the result is 16. What is the difference between x and 8?
Answer:
x = 1
Step-by-step explanation:
12 + 4 x = 16
Subtract 12 from both sides.
4x = 4
Divide 4 on both sides.
x = 1
Jane builds toy trains that have 5 train
cars each. She uses 20 train cars in all.
How many toy trains does Jane make?
toy trains
Answer:
Here's how to solve it.
Step-by-step explanation:
Okay,
from what I understand she has 20 train cars total.
She uses 5 for each train.
So to solve you use simple division.
20 / 5 = 4
To check your answer substitute 4 in the equation so 4 × 5 does equal 20.
So it would be 4.
When negative five is subtracted from a number the result is 10. Find the number.
15
5
-5
-15
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Choose the justification for each step in the solution to the given equation.
multiplication property of equality
subtraction property of equality
division property of equality
addition property of equality
simplification
Multiple tiles can be used.
From up to down in justification :
1) Subtraction property of equality
2) Simplification
3) Subtraction property of equality
4) Simplification
5) Division property of equality (( I'm not sure))
6) Simplification
Answer:
Subtract
simp
subtract
simp
multiply
simp
Step-by-step explanation:
Find the missing measure x° 65°
Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =
Answer:
a1 = 2
Step-by-step explanation:
what does a1 mean?
35, 32 29, 26, 23, 20 , 17, 14, 11, 8, 5, (2)
A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?
Answer: D
Step-by-step explanation:
If after 5 seconds the height was 20 feet then in 10 seconds it will be 40 feet and in 20 seconds it will be 80 seconds.
To get from 5 to 10 you multiply by 2
To get from 20 to 40 you multiply by 2.
Since you have a constant change then it works for D only.
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A hot air balloon is launched from the ground and climbs into the air at a consistent velocity. The balloon's elevation is 20 feet after 5 seconds. The balloon keeps rising at the same rate.
The height per second is given as,
m = 20 / 5
m = 4 ft/sec
Then the equation is given as,
y = 4x
At x = 10 sec, then the value of y will be
y = 4 (10)
y = 40 ft
At x = 20 sec, then the value of y will be
y = 4 (20)
y = 80ft
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
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A mall is designing an outdoor space. The available space is 127 feet by 46 feet. The
plan is for a grassy section with a width of 40 feet. Next to the grass will be a cement
sidewalk with a width of 6 feet. What is the area of the available space in square feet?
Answer:
5882
Step-by-step explanation:
Answer:
5842
Step-by-step explanation:
The grass and sidewalk is extraneous information (not needed) since it only asks for the available space total. so 127 x 46
solve for y
7x-5y=17
Answer: 7*x-5*y-(17)=0
Step-by-step explanation:
Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?
Answer:
480 miles
Step-by-step explanation:
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Retha is building a rock display for her science project. She put 72 rocks in the first row, 63 rocks in the second row, and 54 rocks in the third
row.
If the pattern continues, how many rocks will she use in the sixth row?
OA. 54
OB. 45
O c. 36
O D. 27
O E. 18
Answer:
b
Step-by-step explanation:
Evaluate -2x^2 2y, if x = -3 and y = -1.
ANSWER is 16.
look at the photo to see the step by step equation :)
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
3.8333333333...
Step-by-step explanation:
you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...