Answer:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetStep-by-step explanation:
Given the equation
[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]
[tex]2w+4w+4=32[/tex] ∵ [tex]a\left(b+c\right)=ab+ac[/tex]
Add similar elements: 2w+4w=6w
[tex]6w+4=32[/tex]
subtract 4 from both sides
[tex]6w+4-4=32-4[/tex]
[tex]6w=28[/tex]
Divide both sides by 6
[tex]\frac{6w}{6}=\frac{28}{6}[/tex]
[tex]w=\frac{14}{3}[/tex]
Hence, the width is:
[tex]w=\frac{14}{3}[/tex]
w = 4.7 feet
Therefore, the width is: 4.7 feet
As the length is:
2w+2 = 2(14/3)+2
= 28/3 + 2
= 34/3
= 11.3 feet
Therefore, the length is: 11.3 feet
SUMMARY:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feet6x = 10y - 10
x + y + 7 = 0
What is x and y?
Answer:
x=(-5)
y=(-2)
Step-by-step explanation:
Answer:
(-5, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
6x = 10y - 10
x + y + 7 = 0
Step 2: Rewrite systems
6x = 10y - 10
y = -x - 7
Step 3: Solve for x
Substitute: 6x = 10(-x - 7) - 10Distribute 10: 6x = -10x - 70 - 10Combine like terms: 6x = -10x - 80Add 10x to both sides: 16x = -80Divide 16 on both sides: x = -5Step 4: Solve for y
Define: x + y + 7 = 0Substitute: -5 + y + 7 = 0Combine like terms: y + 2 = 0Subtract 2 on both sides: y = -2And we have our answer!
please help if u can
Answer:
the function is both even and old
Step-by-step explanation:
after solving this is answer which i provided
Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 8 milkshakes. How many cups of Strawberry syrup are needed to make 48 milkshakes?
A.) 3
B.)2
C.)16
D.) 8
Answer:
B. The answer is 2 cups.
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
the sum of two number is 63the smaller number is 17 less than the larger number.what are the number
Answer:
The larger number is 40, and the smaller one is 23.
Step-by-step explanation:
Let x be the larger number.
Let x - 17 be the smaller number.
x + (x - 17) = 63
2x - 17 = 63
2x = 80
x = 40
Hence, the smaller number is 40 - 17 = 23.
Hope this helped!
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
solve for K and b. please :)
Answer:
k=-98
b=-7
Step-by-step explanation:
can i have brianliest :)
AGAIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the slope of the graph in the picture
pls help it's closing in 40 minutes
pls explain how you got the answer
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit
Answer:
m= -2
Step-by-step explanation:
Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1) or (1,1) and (2,-1)
[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex] [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]
What is the value of the expression when b= -4 and C=1
Answer:
B would equal -4
Step-by-step explanation:
Calculate how wide each space should be.
The lot is 41 feet wide.
The dividers are each 6 feet wide.
The dividers need to go evenly in
Answer:
Each space should be 6.83333 feet wide.
Step-by-step explanation:
a) Data and Calculations:
Lot = 41 feet wide
Dividers = 6 feet wide
For even spacing, 41/6 = 6.83333 feet
b) The quotient is equal to the dividend divided by the divisor. Since the lot is 41 feet wide, the quotient, when divided by some 6-feet wide dividers, will be equal to 6.83333 or 7 feet wide. This implies that each divider will occupy a space equivalent to 7 feet or specifically 6.83333 feet wide.
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
Can u plz help me with the number 9?
3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT
Answer:
sorry I wish I could it help you but if you have any other question let me know
GIVING BRAINLIEST FOR WHO ANSWERS FIRST!
Answer:
its simple its C
Step-by-step explanation:
forget humanity and return to monke
Answer:
I think It might be B
Step-by-step explanation:
84 - 60
Im not sure though
2.1(0.2x-1.4)=1.3(0.4x—3.5)
Pls help.
Answer:
x=161/10 =16.100
Step-by-step explanation:
Combine Like Terms
PLEASE FOLLOW ME
Answer:
hope it helps..
Step-by-step explanation:
Simplifying
2.1(0.2x + -1.4) = 1.3(0.4x + -3.5)
Reorder the terms:
2.1(-1.4 + 0.2x) = 1.3(0.4x + -3.5)
(-1.4 * 2.1 + 0.2x * 2.1) = 1.3(0.4x + -3.5)
(-2.94 + 0.42x) = 1.3(0.4x + -3.5)
Reorder the terms:
-2.94 + 0.42x = 1.3(-3.5 + 0.4x)
-2.94 + 0.42x = (-3.5 * 1.3 + 0.4x * 1.3)
-2.94 + 0.42x = (-4.55 + 0.52x)
Solving
-2.94 + 0.42x = -4.55 + 0.52x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.52x' to each side of the equation.
-2.94 + 0.42x + -0.52x = -4.55 + 0.52x + -0.52x
Combine like terms: 0.42x + -0.52x = -0.1x
-2.94 + -0.1x = -4.55 + 0.52x + -0.52x
Combine like terms: 0.52x + -0.52x = 0.00
-2.94 + -0.1x = -4.55 + 0.00
-2.94 + -0.1x = -4.55
Add '2.94' to each side of the equation.
-2.94 + 2.94 + -0.1x = -4.55 + 2.94
Combine like terms: -2.94 + 2.94 = 0.00
0.00 + -0.1x = -4.55 + 2.94
-0.1x = -4.55 + 2.94
Combine like terms: -4.55 + 2.94 = -1.61
-0.1x = -1.61
Divide each side by '-0.1'.
x = 16.1
Simplifying
x = 16.1
Which congruence theorem can be used to prove △BDA ≅ △DBC?
Triangles B D A and D B C share side D B. Angles C B D and A D B are right angles. Sides C D and B A are congruent.
HL
SAS
AAS
SSS
Answer:
HL
Step-by-step explanation:
The triangles share a congruent hypotenuse as well as one side. This qualifies for the Hypotenuse leg theorem.
Answer:
A: HL
Step-by-step explanation:
five men build a wall in 10 days how long will it take 10 men
Answer:
5 Days ....thats easy....
Hope this answer is correct ..
Have a nice day ahead
Answer:
20 days
5 x 2 = 10
10 x 2 = 20
A tree initially measured 18 feet tall. Over the next 3 1/2 years
Answer:
5 ft/yr
Step-by-step explanation:
This is the whole question: A tree initially measured 18 ft tall. Over the next 3 1/2 years, it grew to a final height of 35 1/2 feet. During those 3 1 /2 years, what was the average yearly growth rate of the height of the tree?
The tree grew 35.5 - 18 ft = 17.5 feet in 3.5 years
This average leads to 17.5 ft / 3.5 yr = 5 ft/yr
The question is incomplete, the complete question is;
A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
5 feet per year
Step-by-step explanation:
Given that the initial height of the tree = 18 feet
Final height of the tree = 35.5 feet
Time interval = 3.5 years
Now;
Increase in length of tree = Final height of the tree - initial height of the tree
Increase in length of tree = 35.5 - 18 = 17.5 feet
Rate of growth of tree = increase in height of tree/ time taken
Rate of growth of tree = 17.5 feet/ 3.5 years
Rate of growth of tree = 5 feet per year
Petra jogs 3 miles in 30 minutes at this rate how long would it take a jog 10 miles
Answer:
100 minutes or 1 hour and 40 minutes
Step-by-step explanation:
3 miles in 30 minutes means 1 mile in 10 minutes
10 miles takes 100 minutes or 1 hour and 40 minutes.
1 hour and 40 minutes
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.
The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
Read more about line equations at:
https://brainly.com/question/7098341
#SPJ1
Question 16
Mr. Twain asked the students in his class to draw the figure below using a scale factor of 3. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below.
Student Response
Mark 5 in.
Samantha 6 in.
Divia 1.3 in.
Cheng 0.9 in.
Candice 11.7 in.
Select the student that answered Mr. Twain's question correctly.
A
Mark
B
Divia
C
Cheng
D
Candice
Answer:
C
Step-by-step explanation:
Your answer is C because got the question right when put C .
Miguel has $25. He spends $6.75 on a movie ticket, $3.70 for snacks, and $2.00 for bus fare each way.
How much money does Miguel have left?
Miguel has $_____
left.
Answer:
$12.55
Step-by-step explanation:
25-6.75=18.25
18.25-3.70=14.55
14.55-2=12.55
Miguel has $12.55 left
Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5
You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.
52/7 = 260/35
18/5 = 126/35
Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35
(8x - 20)°
(3x + 5)°
Answer:
Step-by-step explanation:
Simplifying :8x + -20 = 3x + 5
Reorder the terms:-20 + 8x = 3x + 5
Solving:-20 + 8x = 5 + 3x
Add '-3x' to each side of the equation:-20 + 8x + -3x = 5 + 3x + -3x
Combine like terms: 8x + -3x = 5x :-20 + 5x = 5 + 3x + -3x
Add '20' to each side of the equation:-20 + 20 + 5x = 5 + 20
Combine like terms: -20 + 20 = 0 :0 + 5x = 5 + 20
5x = 5 + 20
Divide each side by '5':x = 5
Simplify:x=5
Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.
24/96 = 0.25 * 100 = 25%
Answer:
Of the 96 pins, 25% of the pins were blue.
Step-by-step explanation:
We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.
With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.
[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]
Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.
[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]
Then, we can convert our fraction to a decimal.
[tex]\displaystyle \frac{1}{4} = 0.25[/tex]
And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.
[tex]0.25\times100 = 25\%[/tex]
Therefore, of the 96 pins that Martina ordered, 25% of them were blue.
Please help ASAP! Mathematics!
Answer:
B.) See attachment below
Step-by-step explanation:
Answer:
Personally, I would say the answer is B.
But don't quote me.
Sorry if i'm wrong. Let me know if I am.
Have a great day hon.
the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6