The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve the equation
2w + 2(2w + 2) = 32 to find the width, w, of the dog run. Then find the length, 2w+2, of the dog run.
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 feetBased on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
Help plz !!!!!!!!!!!!!!
Answer:
88
Step-by-step explanation:
Hope this helps
plzz mark brainliest
33.366 divided by 6.7
Answer:
Step-by-step explanation:
33.366/6.7= 4.98
what is the answer for 6.8×10²
Answer:
680
Step-by-step explanation:
Answer:
680
Step-by-step explanation:
10 to the 2nd power is 10 times 10 which is 100.
Now, 6.8 times 100 is 680.
Hope this helps you!!
Help stat please.Brainlist for the best ansmwer
answer and show work
Which graph represents the solution set of the inequality
-3b - 15 > - 24
(Choose 1 answer)
Answer:
A
Step-by-step explanation:
b<3
The solution graph of the given inequality is graph 1.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, an inequality -3b - 15 > - 24, we need to graph its solution,
-3b - 15 > - 24
Add 15 both sides,
-3b-15+15 > -24+15
-3b > -9
b < 3
Since, the sign does not include equal to (> or <), the circle will be unfilled.
And the solution will be all the number less than 3,
Therefore, the graph with the unfilled circle, having the arrow with head facing left will be the solution.
Hence, the solution graph of the given inequality is graph 1.
Learn more about inequality click;
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Richard invests $230.92 every month into his mortgage. At the end of 30 years, he has a balance of $184,033.06. What interest did he make over 30 years?
Richard made $100,719.46 in interest over 30 years on his mortgage.
To calculate the total interest Richard made over 30 years, we need to find the total amount he invested and then subtract that from the final balance.
Richard invests $230.92 every month for 30 years, which is a total of:
Total investment = 30 years * 12 months/year * $230.92/month
Total investment = $230.92 * 360
Total investment = $83,313.60
Now, we can calculate the interest earned by subtracting the total investment from the final balance:
Interest = Final balance - Total investment
Interest = $184,033.06 - $83,313.60
Interest = $100,719.46
Therefore, Richard made $100,719.46 in interest over 30 years on his mortgage.
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Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?
Answer:
If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.
Hope this helps and if you could mark me as brainliest. Thanks!
How to find probability of P(1)
Answer:
I need more context, can you take a screenshot of the actual question or something.
Step-by-step explanation:
can someone tell me if I’m right or wrong
I got x=5,-5,i,-i on a calculator
But the answer choice has 1
Answer:
B: [tex]-5, 5, i[/tex]
Step-by-step explanation:
The roots are [tex](x-5)(x+5)(x^{2}+1)[/tex] according to my TI-89 calculator.
3³ - (60 - 10) + 8
Answer:
According to the Google calculator, the answer is -15
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
V = u + at
u=2 a=-5 t=
Work out the value of v.
Answer:
You may want to check your question but I've solved various circumstances. Please mark as brainliest :-)
Step-by-step explanation:
[tex]v = 2 - 5t [/tex]
Although, I think you're meant to find time(t) making velocity (v) =0. So,
[tex]0 = 2 - 5t \\ - 2 = - 5t \\ t = - 2 \div - 5[/tex]
If time is 0, then,
[tex]v = 2 - 0 \\ v = 2[/tex]
h(x) = 3x2 - 2x + 13
h(3)
[?]
Answer:
34
Step-by-step explanation:
h(x)=3x^2-2x+13
h(3)=3(3)^2-2(3)+13
h(3)=3(3)(3)-6+13
h(3)=3(9)-6+13
h(3)=27-6+13
h(3)=21+13
h(3)=34
What is the fraction equivalence of 4.8?
Answer:
48/10
Step-by-step explanation:
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
WILL MARK BRINLIST Which pairs of angles are congruent because they are vertical angles? Check all that apply. 7373 34 56 21 and 24 pls don't joke
Answer:
B, D represent pairs of vertical angles.
___
Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.
- sqdancefan
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
For more about the linear function,
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Can anybody help me with this?
Answer:
Ah yes that is a reflection because all of the points were reflected on the y axis
In △ABD, DG=40 in.
What is the length of DF?
Enter your answer in the box.
Answer:
60. GF=20 so add those together
Step-by-step explanation:
Answer:60in
Step-by-step explanation:
what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7
Answer:
21x^4 + 8x + 7
Step-by-step explanation:
This is the answer because:
1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.
2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.
3) The rest of the numbers are not like terms.
4) Therefore, the answer is 21x^4 + 8x + 7
Hope this helps!
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 3 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?
Answer:
Step-by-step explanation:
2000*17%=340
2000+340=2340
2340/4*12= 48.75
There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?
Solve for the value of c.
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?
Answer:
8.4 hours
Step-by-step explanation:
Given that:
Speed of asteroid = 55000 miles/hr
Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles
We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.
Formula for speed can be given as following:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
OR, the formula for time in terms of speed and distance can be given as following:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Putting the given values in the formula to find the Time:
[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]
31 = 9/3+6 solve the equation
Answer:
This question doesn't really make sense...
Step-by-step explanation:
Please try to correct it.
Answer:
9 is the answer
Step-by-step explanation:
1. 31 = 9/3+6 <------- This is the original equation.
2. 31 = 3+6 <------- Simplify the fraction.
3. 31 = 9 <-------- This is the final answer.
Hope this helps! I did the best I could. :)
A triangle has vertices on a coordinate grid at P(-10,1)P(−10,1), Q(-10,-7)Q(−10,−7), and R(-5,-7).R(−5,−7). What is the length, in units, of \overline{PQ}
PQ
?
Answer:
Step-by-step explanation:
Given the following coordinates of a triangle
P(-10,1)
Q(-10,-7)
R(-5,-7)
Required
Length of PQ
PQ = √(y2-y1)²+(x2-x1)²
From the coordinate;
x1 = -10, y1 = 1, x2 = -10 y2 = -7
Substitute
PQ = √(-7-1)²+(-10-(-10))²
PQ = √(-8)²+0²
PQ = √64
PQ = 8units
Hence the length of PQ in units is 8units
A shop sells orange juice in the following ways:
500 ml bottle for £1.15
1.5 l carton for £2.70 each or 2 cartons for £5
3.5 l carton for £5.75
What's the cheapest way of buying exactly 9 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 9 litres.
Answer:
The cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
Step-by-step explanation:
To obtain the cheapest way to buy 9 liters of orange juice, the cost per liter of each type of container must be determined:
500 ml bottle = £1.15 (£2.30 per liter)
1.5 l carton = £2.70 (£1.80 per liter)
2 cartons of 1.5 l = £5 (£1.66 per liter)
3.5 l carton = £5.75 (£1.64 per liter)
Thus, there is in principle a staggered way to buy the drink: 2 cartons of 3.5 liters, plus 1 carton of 1.5 liters, plus 1 bottle of 500 ml, which would add up to a total cost of £15.35 (5.75 x 2 + 2.70 + 1.15) .
Now, you could also take advantage of the promotion of 2 cartons of 1.5 l at £5, with which buying 3 of these promotions would acquire the 9 liters of drink (1.5 x 2 x 3) at £15 (3 x 5).
Thus, the cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.