The perimeter of a rectangle is 56 cm . The length of the rectangle can be represented by 6x-7 and it’s width by 2x+3.what are the dimensions of this rectangle in centimeters
Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:
[tex]p = 2\cdot w +2\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width of the rectangle, measured in centimeters.
[tex]l[/tex] - Length of the rectangle, measured in centimeters.
If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:
[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]
[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]
[tex]16\cdot x-8 = 56[/tex]
[tex]16\cdot x = 64[/tex]
[tex]x = 4[/tex]
And the length and the width of the rectangle are, respectively:
[tex]l = 6\cdot (4)-7[/tex]
[tex]l = 17\,cm[/tex]
[tex]w =2\cdot (4)+3[/tex]
[tex]w = 11\,cm[/tex]
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
'is' over 'of' equals '%' over 100
Step-by-step explanation:
72/480 = x/100
if you cross multiply you get 480x = 7200
x = 15/100 which is 15%
anything helps !!! :))))
What is the circumference of the circle below?
Answer:
Step-by-step explanation:
circumference C=2*3.14*r
C=2*3.14*18m=113.04 m
Answer:
113.04 meters.
Step-by-step explanation:
Use the formula
2 times pi times r
r=radius of the circle
or Pi times D
d= diameter of the circle.
The radius is 18 meters.
So, do 2 times 18 times pi.
I will mark brainliest and give all points (100pts)
Answer:
its 1,b 2,c 3,a
so letter C
Step-by-step explanation:
Have a wonderful day!
I have to take care of my sister's cat while she is on vacation. The cat is a very picky eater and will only eat a certain cat food, available at two stores.
Gristede's sells 12 cans for $18
PetSmart sells 20 cans for $26
Which store is offering the best deal on cat food?
Make sure to explain how you were able to determine which store offers the best deal on the cat food.
What us the equivalent ratio for 4:3
Answer:
PetSmart is offering the best deal
Step-by-step explanation
For Gristede's we get 18 and divide it by 12 which would give us $1.50 per can
For PetSmart we get 26 and divide it by 20 which would give us $1.30 per can
Find the measure of each angle indicated.
2)
50°
?
A) 60°
B) 50°
C) 130°
D) 940
Area of a right triangle (7,6)
Answer: The answer is 21
Step-by-step explanation:
The area formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)
No need to show work just need answer.
The measure of the exterior angle of the triangle is
Answer:
Step-by-step explanation:
Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).
Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:
180 = (x+8) + (4x) + (196-7x)
180 = x + 8 + 4x + 196 - 7x
180 = -2x + 204
-24 = -2x
12 = x
Now that we have have the value of x, we can solve for the exterior angle.
(7(12) - 16) = 68 degrees
Hope this helps!
Answer:
68°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
4x + x + 8 = 7x - 16 add like terms
5x + 8 = 7x - 16 export like terms to the same side
8 + 16 = 7x - 5x
24 = 2x divide both sides by 2
12 = x
The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°
An airplane can seat up 175 passengers
okay okay 123
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
175-87=88 so 88 is where the dot needs to be located so we have option A and option B
For ≤ and ≥ , use a closed dot
For > and < , use a open dot
she said AT LEAST 175
so we would use a closed dot
Ryan is saving money to buy a skateboard that cost $85.00. He has already saved $40.00 and plans to save the same amount each week for 3 weeks. How much should he save each week
Answer:
85 - 40 = 45 ÷ 3 weeks = $15
i need help
this is due today at 4
Answer:
Hi The Answer is A.
Step-by-step explanation:
The Answer is A Because of the funter travel of the X.
x*y=z
Hope This Helps.
:)
My name is John henry.
3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points) 3x+12 (3 + x) + 4 (x + 4) ⋅ 3 3x + 4
Answer:
3x+12
Step-by-step explanation:
Multiply 3 by x and then multiply 3 by the 4.
Answer:
3x+12
Step-by-step explanation:
PLZ help me i will give you ten points for it and for helping me on the rest of the 6 problems PLZ HELP!!
Answer:
Yes, I believe so.
Step-by-step explanation:
When you look at this equation on a graphing table, it is a straight line that goes directly through the 0,0 cords.
I hope this helped!
If it's wrong I'm very sorry!
a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?
Answer: 14.2 I hope im Right but it’s a simple question
Step-by-step explanation:
Answer:
do whatever your instincts are telling you to do
Step-by-step explanation:
What is the volume of a sphere with a radius of 6.4 in, rounded to the nearest tenth of
a cubic inch?
Answer: 1,098.1
Step-by-step explanation: Hope this helps, Merry Christmas, and have a nice day!
the electricity goes out in a house the temperature in the house changes by -8 F in 4 hours on average, by how many degrees is the temperature changing per hour
Which of the following representations of ADAL would allow someone to construct a triangle NOT congruent to ADAL?
HELPP PLEASEEEEE 42 POINTS !!! what is 6( -3w + 1/3) =
Answer:
2 - 18w or -18w + 2
Step-by-step explanation:
6(-3w + 1/3)
Multiply using distrubutive property
-18w + 6(1/3)
Multiply 6 * 1/3 to get 6/3 or 2
-18w + 2
This is optional, but put the variable term on the right
2 + (-18w)
2 - 18w
What is the measurement of
127^*
A.13
В.35
С.53
D.73
Answer:
C
Step-by-step explanation:
Because if you do the multiplication then you would know that it was c
are the 2 triangles congruent?
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
What is the value of 0?
Answer:
[tex]\huge\boxed{\sf \theta = 36.9\°}[/tex]
Step-by-step explanation:
[tex]\sf cos \theta = adjacent/ hypotenuse\\\\where \ adjacent = 4 , hypotenuse = 5\\\\cos \theta = 4 / 5\\\\cos \theta = 0.8\\\\\theta = cos^{-1} 0.8\\\\\theta = 36.9\°\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Solve the equation for all real solutions:
16n^2-10n-5=6n
Answer:
5/4 and - 1/4
Step-by-step explanation:
16n^2-10n-5=6n
16n^2-16n-5=0
(4n+1)(4n-5)
4n=-1 4n=5
n= -1/4 n= 5/4
On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes
Answer:
Step-by-step explanation:
C is the correct answer
What is the Factor of :
10x + 15
Answer:
The factor of : 10x+15 is
Step-by-step explanation:
10x+15
5(2x+3)
. Asha mixes 50 milliliters of yogurt, 100 milliliters of orange juice, and
250 milliliters of milk to make a regular smoothie.
a) What is the ratio of the amount of yogurt to the amount of orange
juice to the amount of milk?
b) If Asha has 1 liter of milk, how many regular smoothies can she make?
Answer:
A
Step-by-step explanation:
Solve 6(3 + n) < 48.
Show your work.
Answer:
N<5
Step-by-step explanation:
Check out the pic
Can somebody please help me
Answer:
Step-by-step explanation:
the shaded area would be
200*75=15,000 ft^2
from this are we have to subtract the are of the house and of the garage
house= 40*40=1600
garage=24*30=720
house and garage= 1600+720=2320
15,000-2320=12,680
Answer:
12680 ft²
Step-by-step explanation:
First we will find the area of the house and then the garage.
They're both rectangles so we should use this formula [tex]A=l*w[/tex].
Area Of The House:
[tex]A=l*w\\A=40*40\\A=1600ft^2[/tex]
Area Of The Garage:
[tex]A=l*w\\A=24*30\\A=720ft^2[/tex]
Adding the two areas:
Now we have to add the two together to find how much of the space they take up in the yard.
[tex]1600+720=2320[/tex]
Area Of The Yard:
[tex]A=l*w\\A= 200*75\\A=15000ft^2[/tex]
Subtracting The Two Areas To The Yard's Area:
[tex]15000-2320=12680ft^2[/tex] and that is it!
Katy bought a $76 dress at 33% off and a $52 pair of shoes at 15% off. If
sales tax is 6.75% how much did she pay in total?
Answer:
101.54
Step-by-step explanation:
Answer:
$103.21
Step-by-step explanation:
33% of 76=$25.08 then 76-25.08=$50.92
12% of 52=$6.24 then 52-6.24=$45.76
50.92+45.76=$96.68
6.75% of 96.68=$6.525-->$6.53
96.68+6.53=($103.21)
