Answer:
[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]
Given:
Length = 8 feet
Width = (7 + x) feet
To find;
Area of the rectangle
Step-by-step explanation:
[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]
The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c
Answer:
b y=1.5x+20
Step-by-step explanation:
JUST DID IT ON ENDGE 2021
The equation for Wild Dogs program is y = 20 + 1.5x.
What are Linear Equations in Two Variables?The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Given membership program for Wild Dogs and the Rattlers,
for Wild Dogs,
initial fee = $20
ticket price per game = $1.50
for Rattlers
initial fee = $14
ticket price per game = $2.25
linear equation for Wild Dogs program,
Let x represent the number of games and y the total
y = 20 + 1.5x
for Rattlers
y = 14 + 2.25x
Hence the equation for Wild Dogs program, is y = 20 + 1.5x.
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Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
please help i put a picture on top
Answer:
1/8÷7
Step-by-step explanation:
I think
Is number one congruent? If it is how?
Answer:
Yes, Triangles in (1) are congruent
Step-by-step explanation:
Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.
1.) They must posses similar shape
2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)
Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.
Therefore, the two triangles are congruent.
Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.
Answer:
The equation is 20 + 15x. Bill took 7 lessons.
Step-by-step explanation:
Let x represent the number of lessons Bill take. Then,
the total cost = materials fee + (each lesson cost).x
Since the materials fee is $20 and each lesson costs $15
The total cost = 20 + 15x
Since Bill's total cost was $125:
→ 125 = 20 + 15x
→ 105 = 15x
→ x = 7
A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?
Answer:
[tex]255.04[/tex] cm
Step-by-step explanation:
[tex]\pi r^{2} h[/tex]
[tex]\pi \times 3^2 \times h=7211[/tex]
[tex]\pi \times 9 \times h=7211[/tex]
[tex]h=7211 \div 9\pi[/tex]
[tex]h \approx 255.036954[/tex]
Answer:
h = 255.2 cm³
Step-by-step explanation:
V=πr²h
7211 = (3.14)(3)²h
h = 255.2 cm³
BRAINLIEST WILL BE MARKED(THAT MEANS- 3 EXTRA POINTS) HERE! GRAPHING HELP 101
The graph of f(x)=x2 is shown.
Use the parabola tool to graph the function g(x)=(1/5x)2.m
The 1/5 is a fraction.
The graph with the blue highlight is my answer. LET ME KNOW IF MY ANSWER IS RIGHT OR WRONG! ASAP PLEASE AND THANK YOU WILL MARK BRAINLIEST!
Answer:
I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for [tex]g(x)=(\frac{1}{5}x)^2[/tex] is
Answer:
False
Step-by-step explanation:
Took the test and this is what I got
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation:
The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers
Answer:
A=12
B=54
C=18
Step-by-step explanation:
A=first
B=second
C=third
A+B+C=84
B=3C
A=C-6
C-6+3C+C=84
5C-6=84
5C=90
C=18
A=C-6
=(18)-6
=12
B=3C
=3(18)
=54
12, 54, and 18 so, what he said is true
Step-by-step explanation: he already gave this to you
PLEASE HELP ME SHOW ME HOW U GOT YOUR ANSWER PLZ AND THANK U
Answer:
2/3
Step-by-step explanation:
There are 6 marbles in the jar
4 are not purple
P(not purple) = marbles that are not purple/ total marbles
= 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.
What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)
Answer:
3(1-7x) is first step
Step-by-step explanation:
Answer:
BIDMAS
Step-by-step explanation:
brackets
indices
division
multiplication
addition
subtraction
so.. do everything inside the brackets and then use the square
hope this helps! :)
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
FAST ANSWER PLEASE THANKS
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.
Please help!Am new to this chapter.
Hello!
Answer:The cost of the book is $150.
______________________________Explanation:CP = [tex]\frac{SP(100)}{100 + PP}[/tex]
Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).
CP = [tex]\frac{180(100)}{100 + 20}[/tex]
CP = [tex]\frac{18000}{120}[/tex]
CP = 150
Answer:
$150
Step-by-step explanation:
let cp=x
(20/100*x) +x=180
1/5x+x=180
6x/5=180
6x=180*5
x=(180*5)/6
x=150
6. Classify this kind of triangle:
Answer:
Number 3
Step-by-step explanation:
It is an acute isosceles because all the angles are acute and two sides are congruent.
Answer:
Acute and isosceles
Step-by-step explanation:
All the angles are less than 90
2 sides are equal
Find the third side in simplest radical form
Answer: 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
8^2 + 8^2 = c^2
64 + 64 = c^2
128=c^2
[tex]\sqrt{128}[/tex]
[tex]\sqrt{4 * 32}[/tex]
2[tex]\sqrt{4 * 8 }[/tex]
2* 2 [tex]\sqrt{4 * 2}[/tex]
4 * 2[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.
Answer:
x=35.44
Step-by-step explanation:
x=ky^3 and√z
x=k(y^3)(√z)
Find k when
x=7
y=2
z=4
7=k(2^3)(√4)
7=k(8)(2)
7=k(16)
7=16k
k=7/16
Find x when y=3, z=9
x=k(y^3)(√z)
x=(7/16)(3^3)(√9)
x=(7/16)(27)(3)
=7/16(81)
=567/16
x=35.4375
Approximate to 2 decimal places
x=35.44
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?
Zara ate 50 almonds last week which is 150% as many as she ate last week.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
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Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?
answers are:
Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.
Answer:
Combine like terms onto one side of the equationStep-by-step explanation:
Given the first step in determining the solution to the system of equations,
y = –x2 – 4x – 3 and y = 2x + 5, algebraically as setting the two equations equal as shown: –x2 – 4x – 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;
-x²-4x-2x = 5+3
As we can see, the term containing x in the right hand side of the equation (i.e 2x) are being brought to the left side of the equation. This will be the next step in the calculation
Answer:
D. Combine like terms onto one side of the equation.
Step-by-step explanation:
Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation
Answer:
This is a rotation of 180 degrees
Step-by-step explanation:
A translation is a shift side to side or up and down
A reflection is a mirror image across a line
A dilation is a shrink/enlargement
This is a rotation of 180 degrees. If we rotate around the origin 180 degrees, we will have the same image
Answer:
B. one 90 degree rotation
Step-by-step explanation:
im smart.
PLS ANSWER PLS MARK AS U KNOW WHAT
Answer:
2/4 +6/8 =5/4
Step-by-step explanation:
Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.
Answer:
1 yard = 3 ft
75 yards = 75 * 3
75*3 = 225
He ran 225 ft
If you need inches = 225*12
inches = 2700 inches
Answer:
225 feet
Step-by-step explanation:
3 feet equals 1 yard
? Feet equals 75 yards
75 times 3 equals 225 feet
Please help me with my question!!
Answer:
Step-by-step explanation:
Area of triangle = (1/2)bh
[tex]=\frac{1}{2}*25*21.65\\\\[/tex]
= 270.625 cm²
Area of 6 triangles = 6 * 270.625
= 1623.75 cm²
Trapezium:
a = 25 cm
b = 25 + 12.5 +12.5 = 50 cm
h = 21.65 cm
[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]
=811.875 cm²
Area of two trapezium = 2 *811.875
= 1623.75 cm²
Area of star = 1623.75 +1623.75
= 3247.50 cm²
Answer:
3247.50 cm sq
Step-by-step explanation:
sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?
Answer:
36.5 is the answer
Hope this helps!
Step-by-step explanation:
Let the actual pressure be x
The actual pressure is 100% of x
The pressure is showing 8% more
So the pressure showing now is the actual pressure + the extra pressure
= 100%+8% = 108%
= 108/100
So the equation is:
108/100 x = 39.42
108x = 39.42*100
108x = 3942
x= 3942/108
= 36.5
Therefore the actual pressure is 36.5
(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT
Answer:
No it isn't a function one of the x values, -3, repeats
Step-by-step explanation:
Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?
Answer:
please give more clarification
Answer:
33680
Step-by-step explanation:
Simplify this problem
Answer:
[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]
Step-by-step explanation:
[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]
