If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is [tex]40\ ft[/tex]
The available width of the room is [tex]w=5\ ft[/tex]
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]
Putting values
[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]
*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form
We want to write the equation in the form
y = mx + b.
We need to solve for y.
4x + 2y = -6
Subtract 4x from both sides.
4x - 4x + 2y = -4x - 6
2y = -4x - 6
Divide both sides by 2.
2y/2 = (-4x - 6)/2
y = (-4x - 6)/2
y = -2x - 3
Done.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Hello There!
x = # of cars and y = # of vans
the total amount of vehicles is 12 so
x + y = 12
each car can hold 4 students and each van can carry 12 students
there are a total amount of 72 students
so 4x + 12y = 72
so from the given information we can conclude that the answer is C
if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?
Answer:
There are 6 pears and 9 apples.
Step-by-step explanation:
The equation would be a=3+2p
In the diagram below DE is the midsegment of AABC.
Find the length of DE and BC.
Answer:
DE = 5
BC = 10
Step-by-step explanation:
ΔAED is a right triangle with legs of 4 and 6/2 = 3
Use the Pythagorean theorem to find DE
[tex]4^{2} + 3^{2} = DE^{2}[/tex]
16 + 6 = 25 = [tex]DE^{2}[/tex]
DE = 5
The midsegment of a triangle is 1/2 the length of the corresponding side.
Therefore, BC = 2 DE = 2(5) = 10 = BC
What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED
Answer:
246 cm
Step-by-step explanation:
So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle). Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144
144+48+54= 246
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
What's the answer to this?
Answer:
The answer to this equation is 3 3/16
Step-by-step explanation:
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?
(round to the nearest hundredth)
Answer:
0.16
Step-by-step explanation:
Speed= 9 miles/57 minuets=(9/57)
Now we want to figure out how many miles Boris runs per minuet
9/57= 0.15
Round to the nearest hundredth and it's 0.16.
Hope this helps!
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
Is 1/4, 1/5, 1/6, or 1/8 closer to 1
Answer:
1/8
Step-by-step explanation:
ingna ko kung wrong
nakasabot ka
Which expression is equivalent to 5(n + 7)?
3.
Write the slope-intercept form of the equation for the line.
A. y = 2x – 1
B. y = [tex]\frac{1}{2}[/tex]x – 1
C. y = [tex]\frac{1}{2}[/tex]x + 1
D. y = –2x – 1
Answer:
I'm gonna go with letter A. y= 2x - 1
Step-by-step explanation:
Answer:
y = 2x -1
Step-by-step explanation:
the line passes through -1 on the graph
it rises 2
and moves right once
Hope this helps ! (:
an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation
Answer:
Step-by-step explanation:
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
Answer:
18.7 wreaths
Step-by-step explanation:
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
From the above question:
23 pine cones = 1 wreath
430 pine cones = x wreaths
Cross Multiply
23 pine cones × x wreaths = 430 pine cones × 1 wreath
x wreaths = 430 pine cones × 1 wreath/23 pine cones
x wreaths = 18.695652174 wreaths
Approximately = 18.7 wreaths
Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?
Answer:
Step-by-step explanation:
Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?
Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1\frac{3}{4} pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?
Answer:
$8.75
Step-by-step explanation:
STEP TO TAKE TO DETERMINE THE ANSWER
Multiply 13/4 pounds by the cost of one pound of peanut. To do this, convert 13/4 to an improper fraction and then multiply it by $5
[tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4}[/tex] × 5 = [tex]\frac{35}{4}[/tex] = [tex]8\frac{3}{4}[/tex] = $8.75
State if the triangle is acute, obtuse, or right
Answer:
right angle triangle
Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)
Answer:
B
Step-by-step explanation:
They both equal 121
i need help with this
Answer:
d=13
Step-by-step explanation:
step 1) combine like terms
8d-3d-12=53
5d-12=53
isolate d
5d-12+12=53+12
5d=65
d=13
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
Answer:
replace x with number then multiply or divide
Step-by-step explanation:
When written in factored form, 6w^2-11w−2 is equivalent to
Answer:
(6w+1)(w-2)
Step-by-step explanation:
Answer:
13w - 2
Step-by-step explanation:
6w² - 11w - 2
24w - 11w - 2
13w - 2
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
9514 1404 393
Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
Help me with this!!!
Answer:
Yes
Step-by-step explanation:
You can use the perpendicular bisector theorem, because the bisecting line is intersecting at a right angle, which means it is actually perpendicular. Along with IJ and IH being congruent (equal)
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
