The perimeter of the rectangle below is 65 inches.
a. What is the value of x?
b. What are the dimensions of the rectangle?
Answers
perimeter = 65 inches
Side ‘a’ = 2x
Side ‘b’ = 3 1 by 4x + 1
Solution -
Perimeter = 65
= a + b = 65
= 2x + 3 1 by 4x + 1 = 65
( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4
= 13 by 4 )
= 2x + 13 by 4x + 1 = 65
= 2x + 13 by 4x = 65 - 1
= 2x + 13 by 4x = 64
= 15 by 4 x = 64
= x = 64 x 4 by 15
= x = 256 by 15
= x = 17.06
.:. The value of x = 17.06.
Related Questions
x-45=8(2x+3)-18 what are the first steps to solving this equation
Answers
Step-by-step explanation:
step one Distribute
x−45=8(2x+3)−18
x−45=16x+24−18
step two Subtract the numbers
x−45=16x+24−18
x−45=16x+24−18
I need help is it due tomorrow
Answers
Answer:
witch one is the selection
HELP ASAP I need to pass this please help
Answers
30 hours to 18 hours express as a fraction in simplest form
Answers
Answer:
12 Hours went by
Step-by-step explanation:
30 - 18 = 12
12 = 12/1
Fraction answer: 12/1
Don went to his favorite restaurant and ordered a meal. His bill came out to $15.77. He wants to pay a 15% tip. How much did he ended up paying total?
pls help!
Answers
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $15.77 meal cost is.This is always done by multiplying 0.15 by $15.77, or
0.15 x $15.77=$2.37.
So, the amount of tip you are going to leave is $2.37.
This makes the total cost of your meal (to write on your charge slip or other payment)
$15.77 + $2.37 = $18.14
$18.14 is your answer
find the x and y intercepts of 2x-4y=7
Answers
Answer:
x = (7/2, 0)
y = (0, -7/4)
Step-by-step explanation:
Answer:
x-intercept: (7/2 , 0)
y-intercept: (0, -7/4)
Step-by-step explanation:
To find the x-intercept, plug in 0 for y and solve. To find the y-intercept, plug in o for x and slove.
A list contains 7 consecutive even numbers in ascending order.The largest number is 30 and the smallest is 12 less than this.The mode is 20 and median is 22.If the sum of the two remaining numbers is 50,find all the number
Answers
Answer:
18, 20, 20, 22, 24, 26, 30
Step-by-step explanation:
We know that the largest number of the list is 30 and the smallest number is 12 less than that, which is 30 - 12 = 18.
This is our list so far: 18, __ , __ , __ , __ , __ , 30
The median of a set is the middle number of the set. In this case, since there are 7 terms in the set, the median, which the problem states is 22, must be the 4th number, since the 4th number is in the middle.
This is our list now: 18, __ , __ , 22, __ , __ , 30
Now, let's deal with the mode. The mode of a set is the term that shows up the most. Since the set is in ascending order and 20 < 22, we know that the two numbers in between 18 and 22 must be 20 and 20. This means that no term can show up more than once, with the exception of 20 because it is the mode.
This is our list now: 18, 20, 20, 22, __ , __ , 30
Finally, we'll deal with the last two numbers. We know that they must be even and that they both must be in between 22 and 30 (since the set is in ascending order). We also know that the two numbers must be different (see last paragraph) and that they sum to 50. The only two numbers that satisfy all of these conditions are 24 and 26, so they must be our last two numbers.
Therefore, the answer is 18, 20, 20, 22, 24, 26, 30. Hope this helps!
Module 5 assignment
45 points !
Answers
Answer:
Parent Function: g(x)=x^3
Horizontal Shift: Left 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: None
Reflection about the y-axis: Reflected
Vertical Compression or Stretch: Stretched
Step-by-step explanation:
The area of the curved surface of a cylinder is 6160cm. The height of the cylinder is 10cm. What is the radius of the cylinder in centimeters
Answers
Answer:
r = 98 cm
Step-by-step explanation:
Formula for curved surface area = [tex]2\pi rh[/tex]
where r = radius & h = height
Let the radius be 'r'.
According to the question ,
[tex]6160 = 2 \times \pi \times r \times 10[/tex]
[tex] = > 20\pi r = 6160[/tex]
[tex] = > r = \frac{6160}{20\pi} = \frac{6160 \times 7}{20 \times 22} = 98cm[/tex]
Helppppppppppppppppppppppppppppppppp
Answers
Answer: the photo is black for me :(
Step-by-step explanation:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673
If the chess club sold each item for the same price, calculate the price of each item.
please explain
Answers
Answer:
$5.50
Step-by-step explanation:
You need to divide $2,673 by 486.
From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 30°. Find the approximate height h of the tree to the nearest whole number of feet. (Round your answer to two decimal places.)
Answers
Answer:
[tex]\boxed {\boxed {\sf 69.28 \ feet}}[/tex]
Step-by-step explanation:
Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.
First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).
Next, recall the ratios.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentWe see that the height is opposite the 30 degree angle and 120 is adjacent.
opposite=hadjacent=120Since we are given opposite and adjacent, we must use tangent.
[tex]tan ({\theta)=\frac{opposite}{adjacent}[/tex]
Substitute the values in.
[tex]tan(30)=\frac{h}{120}[/tex]
We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.
[tex]120*tan(30)=\frac{h}{120}*120[/tex]
[tex]120*tan(30)=h[/tex]
[tex]120*0.5773502692=h[/tex]
[tex]69.2820323=h[/tex]
Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.
[tex]69.28 \approx h[/tex]
The height of the tree is about 69.28 feet.
review the proof which tuition will complete Step 2 in the food
Answers
Answer:
D sqrt 1+cos(x)
Step-by-step explanation:
You have to multiply both the top and the bottom by the same thing, because you are essentially multiplying the equation by 1 here, and any number over itself is equivalent to 1 over 1. The reason for this is because you are proving the identity, which means that you can only multiply by 1 or things that equal 1, because you are trying to PROVE that one side equals the other, so you can't rely on the normal processes that you would use to solve a system of equations.
Answer:
d
Step-by-step explanation:
edge
Simplify using the Distributive Property (enter your answer with no
spaces) 2(6e - 3f + 10g)
Your answer
Answers
Answer:
2(6e-3f+10g)
Answer (I think): 12e-6f+20g
Step-by-step explanation:
Answer:
12e - 6f + 20g
Step-by-step explanation:
2(6e - 3f + 10g) is the given equation. Because of the grouping, we know that the entire part in parentheses is multiplied by two. Now the distributive property helps us by letting us multiply each individual part of the parentheses by two.
6e becomes 12e
-3f becomes -6f
and 10g becomes 20g
Now when we put those together, it becomes 12e - 6f + 20g
Hope this helped!
Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?
Answers
jesus do be gettin buff doe
HURRY UP YALL FIRST ANSWER GETS BRAINLIESTTT
Answers
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
Find the equation of a line that is parallel to the line y = 3x - 3 and crosses the y-axis at (0, -6)?
You may express the equation in slope-intercept or standard form.
Answers
Answer:
y=3x-6
Step-by-step explanation:
b=the y-intercept
the slope is the same, so the answer is y=3x-6
The band is purchasing t-shirts for their spring concert. The t-shirts cost $12 each plus a one time fee of $10 for shipping. The band paid $1210 for the purchase. Which equation should be used to find how many t-shirts the band purchased?
Answers
Answer:
(1210 - 10) / 12.
Step-by-step explanation:
In order to solve the problem we need to start by removing the shipping fee, $10, and divide the result by the cost of each t-shirt, $12. The resulting answer will tell us how many t-shirts the band purchased.
Answer:
Might be (x)= $12x+10
Step-by-step explanation:
Simplify three square root of five end root minus two square root of seven end root plus square root of forty five end root minus square root of twenty eight.
two square root of twelve
two square root of two
six square root of five end root minus four square root of seven
six square root of ten end root minus four square root of fourteen
Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.
two to the seven eighths power, all over two to the one fourth power
the eighth root of two to the fifth power
the fifth root of two to the eighth power
the square root of two to the five eighths power
the fourth root of two to the sixth power
Question 3(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of ten times square root of eight.
square root of eighteen
four square root of five
square root of eighty
eight square root of ten
Question 4(Multiple Choice Worth 1 points)
(03.01 LC)
Rewrite the expression with a rational exponent as a radical expression.
four to the two fifths power all raised the one fourth power
the tenth root of four
the fourth root of four
the fifth root of four squared
the square root of four to the tenth power
Question 5(Multiple Choice Worth 1 points)
(03.01 MC)
Explain how the Quotient of Powers Property was used to simplify this expression.
5 to the fourth power, over 25 = 52
By simplifying 25 to 52 to make both powers base five and subtracting the exponents
By simplifying 25 to 52 to make both powers base five and adding the exponents
By finding the quotient of the bases to be one fifth and cancelling common factors
By finding the quotient of the bases to be one fifth and simplifying the expression
Question 6(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of five times the quantity six minus four square root of three.
9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Question 7(Multiple Choice Worth 1 points)
(03.01 MC)
Which equation justifies why ten to the one third power equals the cube root of ten?
ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten
ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
Question 8(Multiple Choice Worth 1 points)
(03.01 LC)
Rewrite the radical expression as an expression with a rational exponent.
the fourth root of seven to the fifth power
seven to the five fourths power
x20
x
seven to the four fifths power
Question 9(Multiple Choice Worth 1 points)
(03.01 MC)
Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.
The answer nine square root of twelve is rational because the sum of a rational number and irrational number is a rational number.
The answer nine square root of twelve is irrational because the sum of a rational number and irrational number is an irrational number.
The answer seven square root of three plus six is rational because the sum of a rational number and irrational number is a rational number.
The answer seven square root of three plus six is irrational because the sum of a rational number and irrational number is an irrational number.
Question 10(Multiple Choice Worth 1 points)
(03.01 MC)
Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.
Steps Reasons
1. a over b plus c over d Given
2. ad over bd plus cb over bd
3. ad plus cb all over bd Simplify
Fill in the missing reason in the proof.
Multiply to get a common denominator.
Add to get a common denominator.
Distribute d to all terms.
Add d to all terms.
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Easy science please help ILL GIVE BRIANLIST
a mouse at a mass 500g scuttling through the grass at 3 m\s
Answers
Answer:
1500 kg m/s
Step-by-step explanation:
3 x 500 = 1500
y=x-1
y=x+1
((This is System of Equations))
Answers
Add 1 to both sides of the equation.
y = x - 1
2x = 3 + 1
Add 3 and 1 .
y = x - 1
2x = 4
EASY SCIENCE ILL GIVE BRIANLIST PLEASE HELP
pleas give thre right answer
calculate the velocity of a doll with a mass of 50 kg and with a momentum of 2 kg m\s
Answers
Answer:
4.0 kg and a velocity of -25m/s.
if 10% x is 20,what is 23%of x
Answers
Answer:
46
edit: i made a mistake on my multiplication for the previous answer
Answer:
x=46
Step-by-step explanation:
10% of x, in other words [tex]\frac{1}{10}[/tex]x =20, then x =200. 23% of 200 is 46. Therefor x=46
PLS HELP ME. I MARK BRAINLIST
Answers
Answer:
-23, -8, 7, 22
Step-by-step explanation:
y = 5x - 8
y = 5(-3) - 8
y = -15 - 8
y = -23
y = 5(0) - 8
y = -8
y = 5(3) - 8
y = 15 - 8
y = 7
y = 5(6) - 8
y = 30 - 8
y = 22
PLS HELP BRAINLIEST !
What is the conjugate of -8-2i?
Answers
Answer:
it is already conjucated i belive
Step-by-step explanation:
a rectangle has vertices (r,t) , (r,s) and (t,t). find the fourth vertex
Answers
Answer:
(t,s)
Step-by-step explanation:
this point has the x value t and the y value s that is missing.
HELP ASAP
Which of the following shows the correct solution steps and solution to
8x- 5 = 19?
Answers
add 5 to 19 and you get 24 and then divide 24 by 8 and you get 3
Answer:
x = 3
Step-by-step explanation:
8x - 5 = 19 (add 5 to each side)
8x = 24 (divide each side by 8)
x = 3
A clerk in a bank engaged in counting one rupee currency note. For the first 10 minutes quickly at
a speed of Rs.150 per minute then he slows down and begins to count at a speed of Rs. 2 less
etery minute than previous minute. Find what time will he take to count a sum of Rs. 4500.
Answers
Answer:
The time it would take the clerk to count a sum of Rs. 4,500 is 34 minutes
Step-by-step explanation:
The given parameters are;
The rate at which the clerk in the bank counted one rupee currency notes for the first 10 minutes = Rs. 150/minute
After the first 10 minutes, the rate at which the clerk counted = Rs. 2 less than the previous minute
The time it will take the clerk to count Rs. 4,500 is given as follows;
The number of one rupee currency notes the clerk counts in the first 10 minutes = 10 × Rs. 150 = Rs. 1,500
The amount in one rupee currency notes the clerk counted at a decreasing rate of Rs. 2 less every minute = Rs. 4,500 - Rs. 1,500 = Rs. 3,000
From the 11th minute the number of rupees the clerk counts = Rs. 150 - Rs. 2 = Rs. 148
We have an arithmetic progression with the first term, a = 148, and the common difference, d = -2
The sum of n terms of an AP, [tex]S_n = \dfrac{n}{2} \times \left [ 2 \cdot a + (n - 1)\cdot d\right ][/tex]
Which gives;
[tex]3000 = \dfrac{t}{2} \times \left [ 2 \times 148 + (t - 1)\times (-2)\right ] = 148 \cdot t - t^2 + t[/tex]
3000 = 149·t - t²
Which gives;
t² - 149·t + 3,000 = 0
(t - 24) × (t - 125) = 0, therefore, t = 24 minutes or t = 125 minutes
The time it would take the clerk to count a sum of Rs. 4,500 = 10 + 24 = 34 minutes.
The regular price for a pair of jeans is $36.00. The sale price is 25% off the regular price. What is the sale price?
The sale price of the jeans is?????
HURRYYYYYY
Answers
36 - 9 = 27
25% = 9.00
Original price: $36.00
Please answer i will give the brainliest
Answers
Answer:
∠A is 55°
∠B is 125°
∠C is 55°
∠D is 125°
Step-by-step explanation:
The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)
Answer:
A.55
b.125
c.55
d.125
Step-by-step explanation:
thank you
