If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters
Answer:
Length=22cm Width=18cm
Step-by-step explanation:
1. 2 x 22 = 44
2. 2 x 18 = 36
3. 44 + 36 = 80
4. Perimeter = 80cm
Ms. Jaylen's plant grew over the weekend! Saturday it grew two thirds (fractions) of an inch and Sunday it grew one third of an inch. How much did Ms. Jaylen's plant grow over the weekend?
Answer:
3 inchies
Step-by-step explanation:
Under his cell phone plan, Ryan pays a flat cost of $68.50 per month and $5 per gigabyte. He wants to keep his bill at $92.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer:
answer is 5.7
Step-by-step explanation:
Under Ryan's cell phone plan, he pays a flat cost of $68.50 per month and $5 per gigabyte. With a budget of $92.50, he can use up to 4 gigabytes of data.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that,
Ryan's flat cost per month is $68.50.
He pays $5 per gigabyte of data.
Ryan wants to keep his bill at $92.50 per month.
We know that Ryan pays a flat cost of $68.50 per month,
so subtract that from his budget:
$92.50 - $68.50 = $24.
Since Ryan pays $5 per gigabyte,
Divide the remaining budget ($24) by the cost per gigabyte ($5) to find out how many gigabytes he can use:
$24 / $5 = 4.8 gigabytes.
Therefore,
Ryan can use up to 4.8 gigabytes of data and still stay within his budget. Keep in mind that any fraction of a gigabyte will be rounded down,
So he can use a maximum of 4 gigabytes.
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Triangle DEF is similar to triangle ABC. What is the measure, in degrees, of F?
Answer: 50
Step-by-step explanation: Total angle in the triangle = 180
E is 90 and D is 40
What is the zero of
q(x) = -7/3x + 14?
Answer:
x = 6
Step-by-step explanation:
Solve for x:
-(7 x)/3 + 14 = 0
Put each term in -(7 x)/3 + 14 over the common denominator 3: -(7 x)/3 + 14 = -(7 x)/3 + 42/3:
(-(7 x)/3 + 42/3) = 0
-(7 x)/3 + 42/3 = (-7 x + 42)/3:
((-7 x + 42)/3) = 0
Multiply both sides of (-7 x + 42)/3 = 0 by 3:
(3 (-7 x + 42))/3 = 3×0
(3 (-7 x + 42))/3 = 3/3×(-7 x + 42) = -7 x + 42:
(-7 x + 42) = 3×0
0×3 = 0:
-7 x + 42 = 0
Subtract 42 from both sides:
(42 - 42) - 7 x = -42
42 - 42 = 0:
-7 x = -42
Divide both sides of -7 x = -42 by -7:
(-7 x)/(-7) = (-42)/(-7)
(-7)/(-7) = 1:
x = (-42)/(-7)
The gcd of 42 and -7 is 7, so (-42)/(-7) = (-(7×6))/(7 (-1)) = 7/7×(-6)/(-1) = (-6)/(-1):
x = (-6)/(-1)
(-6)/(-1) = (-1)/(-1)×6 = 6:
Answer: x = 6
See image attached below
Answer:
x = 35
Step-by-step explanation:
The figure has 6 angles so the figure is a convex hexagon
The sum of interior angles in a convex hexagon is equal to 720
4x - 5 + 117 + 3x - 3 + 3x + 6 + 118 + 4x -3 = 720 add like terms
14x + 230 = 720 subtract 230 from both sides
14x = 490 divide both sides by 14
x = 35
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Let's take this step-by-step:
Part (a)The mathematical name of this shape is a right trapezoid
⇒ It is a trapezoid since the image shows a quadrilateral that
has two parallel sides and two non-parallel sides. It is a right
trapezoid because it has two rights angles
Part (b)The cube has 6 faces
⇒ faces are the individual flat surfaces of an object
⇒by looking at a picture of a cube, we see it has 6 sides
⇒ (I attached an image of a cube below)
Hope that helps!
what is the numeral rule for counting
Answer:
multiply the events together to get the total number of outcomes.
formula: lets say you have “a” and another event “b” then all the different outcomes for the events is a × b
Step-by-step explanation:
please i need some help on this question
Answer:
1) For 3 tickets, the cost is $12
2) For 5 tickets, the cost is $20
3) $28 can purchase 7 tickets
4) For 10 tickets, the cost is $40
Step-by-step explanation:
1) For 3 tickets
8 = 2
x = 3
(8 ÷ x) = (2 ÷ 3)
Cross multiply,
2x = 8 x 3
2x = 24
x = 24 ÷ 2
x = $12
Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.
I hope this helps.
1. A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. what is the height of the balloon at 2 seconds?
Answer:
28feet
Step-by-step explanation:
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
w = vyx
v = _/_
someone help please
Answer:
the correct answer is v = w/yx
Answer:
v is w over yx
Step-by-step explanation:
isolate v the you'll get your answer
Liam surveyed the gas prices in 5 different cities. The prices were:
$2.00 ,$3.00 ,$4.00 ,$5.00 ,$4.00
What was the mode of the gas prices?
Answer:
4.00
Step-by-step explanation:
mode is the number that accurse the most
Answer:
above is correct.
Step-by-step explanation:
Today is maise and daniels birthday. Maise is 21 years older than daniel. 5 years from now, Daniel will be half maise's age
How old is daniel now?
Answer:
13
Step-by-step explanation:
In 5 years Maise will be 26.
Daniel will now be half Maise's age which is 26/2 = 13
hi anyone can help me? please help me:)
Find the area of the figure below.
Answer:
42
Step-by-step explanation:
For the square 6 x 5 = 30
For the triangle 6 x 4 x 1/2 = 12
or 6 x 4 ÷ 2 = 12
add them both 12 + 30 = 42
2) Find f-1(x) where f(x) = 3x/x+4
When meghan started working, she was paid $85 each week. After a six-month probationary period, her pay was increased by 20%. How much was she paid each week after the increase.
When Meghan started working, she was paid $85 each week. After a six-month probationary period, her pay was increased by 20%. she paid $102 each week.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
When Meghan started working, she was paid $85 each week.
After a six-month probationary period, her pay was increased by 20%.
The initial payment = $85
When her pay was increased by 20%.
[tex]85/100 \times20\\\\8.5 \times 2\\\\17[/tex]
The new payment after a six-month probationary period
= 85 + 17
= 102
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The maximum load that a cylindrical column with a circular cross section
can hold varies directly as the fourth power of the diameter and
inversely as the square of the height. A 9 meter column 2 meters in
diameter will support 64 metric tons. How many metric tons can be
supported by a column 9 meters high and 3 meters in diameter?
Answer:
2396
Step-by-step explanation:
Let the diameter = d
Let the height = h
Formula
Metric Tons = k * d^4 / h^2
Solution
Metric Tons = 64
d = 2
h = 9
k = ?
(You can't do the second part by not using a ratio unless you put k in and solve for it)
64 = 2^4 k / 9^2
64 = 8 *k / 81
64 * 81 / 8 = k
5184 / 8 = k
k = 648
Solve for the second example
Metric Tons = d^4 * k / h^2
Metric Tons = ?
d = 5
h = 13
k = 648
Metric Tons = 5^4 * 648 / 13^2
Metric Tons = 625 * 648 / 169
Metric Tons = 2396 rounded.
what is the absolute value of 18.5
Answer:
18.5
Step-by-step explanation:
please help
What is 94*106
Answer:
9964
Step-by-step explanation:
Answer:
9964
Step-by-step explanation:
94*106=9964
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches. Enter the area of the shelf, in square inches. Round your answer to the nearest hundredth.
I Have M-step tomorrow
The area of the quarter circle is equal to one-fourth area of the circle. Then the area of the quarter circle is 86.59 square inches.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches.
Then the area of the quarter circle will be
[tex]\rm Area = \dfrac{\pi r^2}{4}\\\\\rm Area = \dfrac{\pi \times 10.5^2}{4}\\\\\rm Area = \dfrac{\pi \times 110.25}{4}\\\\\rm Area = \dfrac{346.36}{4}\\\\\rm Area = 86.59 \ \ in^2[/tex]
The area of the quarter circle is 86.59 square inches.
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Find three Rational number between 2/3 and 3
Answer:
2 , 3/2 , 9/3
Step-by-step explanation:
A number that can be represented as the quotient of two integers.
[tex] \frac{2}{3} =0.666666666 \: recurring[/tex]
There are many rational numbers between 2/3 and 3.
[tex]2 \ \: \: \frac{3}{2} \: \: \: \frac{9}{3} [/tex]
Jonathan is cooking burgers at Top Burger. On Friday he worked 8 hours, and on Saturday he worked 6 hours. He gets paid 12 dollars per hour. How much did he make on those two days?
Answer:
168
Step-by-step explanation:
8*12+6*12 = 168
8+6 is 14 so 14*12 works too
what is the mean of 1, 3, 7 ,11 ,13
the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h = height in feet). what is sam's height after 2 seconds?
Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.Time t = 2.0 secondsHeight h = ?Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
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how i do find the average of 46,54,43,57,50,62,78,42? please help asap thanks.
Answer:
the average is 54
Step-by-step explanation:
add all the numbers together and divide by the amount of numbers there are...
please can i have brainliest pleeeeease
Answer:
54
Step-by-step explanation:
add all the numbers you get 432 then divide by how many numbers there are which is 8 and you get 54 I think
A restaurant manager is listing 10 items on a menu. Of these menu items, 8 are appetizers and 2 are main courses. All of the appetizers will be listed before both of the main courses. In how many ways can the restaurant manager list the items
The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.
What is arrangement?An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way
The given parameters are
Appetizer=8
Main=6
A person can choose 1 a-piece from each menu.
This means that:
There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.
So, the number of ways (n) is:
[tex]\rm n=Appetizer\times Main[/tex]
[tex]n=8\times 2[/tex]
[tex]n=16[/tex]
Hence, there are 16 ways to order a two-course meal
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What happens to the graph of the line y = mx + b if the value of b is decreased?
The line becomes steeper.
The line becomes less steep.
The line moves higher.
The line moves lower.
Answer:
The lines moves lower.
Step-by-step explanation:
The steepness of a line is related to the slope, m.
b is the y-intercept, not the slope.
b is where the line intersects the y-axis.
Changing b changes the vertical position of the line.
Answer: The lines moves lower.
Answer:
a intersection with the y-axis.
Step-by-step explanation:
just took edge 2022
In parallelogram ABCD, m∠B = 3x+ 45 and m∠D = 5x+ 23. Find m∠C
Answer: 102 degrees
Step-by-step explanation:
Please help me!! I need this for school and it’s due soon