Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)
Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
Ryan is outside playing basketball. He is 5 ft tall and at this time of
day is casting a 12 ft shadow. The basketball hoop is 10 ft tall. How
long is the basketball hoop's shadow?
Answer:
17
Step-by-step explanation:
What is the range of the function in the graph below(photo imported)
Y is less than or equal to -2
Y is less than or equal to 0
Y is less than or equal to -1
all real numbers
Answer: y is less than or equal to -1
How?
The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.
The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2
:)
Can someone help solve question 12 and 13 please
answer:
the answers are undefined and zero ( and in that order )
step-by-step explanation:
for question 12,
x = 10
since that equation is just a vertical line, the slope is undefined!
but for question 13
y = -5
the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )
i hope this helps you and if you need anymore help then please feel free to ask me! :)
Tom is an artist and plans to paint and sell some miniature paintings. The paint and canvas for each painting costs $10 and then he bought some brushes for $50. If he plans on selling each painting for $20, how many paintings must Tom sell to break even?
Answer:
3
Step-by-step explanation:
50+10=60
20 x 3= 60
Tom needs to sell at least 5 paintings to break even.
What are the cost price and selling price?1. Cost price = Selling price − profit ( when selling price and profit are given )
2. Cost price = Selling price + loss ( when selling price and loss are given )
Given here each canvas and painting cost $10 and he bought brushes for $50. Now for each painting his profit is = $20-$10 = $10 but he has still miscellaneous expenses for the brushes to account for hence to break even he has to make a profit totaling $50 thus he must sell 5 paintings to break even.
Hence, he has to sell 5 paintings
Learn more about cost price and selling price here:
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Omg Pls help
Which figure is similar to the shaded one
Answer:
the answer should be A
Step-by-step explanation:
hope it helps, have a good day :)
The student council sent its members on four field trips during the school year. The number of
buses needed to transport the members on each field trip is a function of the number of members
who went on each trip. This function consists only of the ordered pairs (52,3), (72, 4), (86,5),
and (105, 6). What is the DOMAIN for this function?
Answer:
{52,72,86,105}
Step-by-step explanation:
hope this helps :)
Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.
Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For the first two years, the parameters are given as follows:
P = 6600, r = 0.03, n = 1, t = 2.
Hence the amount is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]
A(2) = 7002.
For the final 6 years, the parameters are:
P = 7002, r = 0.01, n = 1, t = 6.
Hence the amount after 8 years is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]
A(6) = 7433.
Freddie will have £7433 in his account in 8 years.
More can be learned about compound interest at https://brainly.com/question/25781328
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The following triangle is equilaterial triangle. Solve for the unknown variable.
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
Hola. Ayuda con estos problemas de geometría plana. Regalo 20 puntos a la respuesta correcta...
Answer:
GRA
Step-by-step explanation:
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Answer:
x=-7
Step-by-step explanation:
7x2-x=7
7x2=14.
14-x=7
When you finished the last step, you will subtract 14 to both sides.
14-x=7
14-14-x=7-14
this will cancel out the 14 on the left.
And will leave you with:
-x=7-14
7-14 is -7.
and this will get you to
-x=-7
To finish this off, you have to turn the negative x/variable, into a positive x/variable.
So, you will divide both sides of the equation by the same term.
-x = -7
into
[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]
and it will be -7.
I hope this helps :)
If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?
Answer:
43.5625 kilometers
Step-by-step explanation:
hi!
To solve this problem, you have to take note of the important information which is:
- 10.25 km/hour
- 4.25 hours
- how far did she travel?
To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers
10.25*4.25 = 43.5625 kilometers
I hope this helped :)
What is the area of this
Answer:
12m
Step-by-step explanation:
Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft
Answer:
15 ft
Step-by-step explanation:
A right triangle is formed by h, the radius and the slant height
Given diameter = 16, then radius = 16 ÷ 2 = 8
Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
Answer:
Step-by-step explanation:
Priya ran 1 ½ miles today, and Tyler ran 3 ¾ miles today. How many times the length of Tyler's run was Priya's run?
A pizza is cut into 8 equal pieces. Jeremy ate 3 of them. Frank ate 2 of them. Then Bill and Harley showed up and shared the rest of the pizza equally. Together, how much of the pizza did Jeremy and Bill eat? Choose your answer to a simplified fraction.
Answer:
4 1/2
Step-by-step explanation:
Jeremy ate 3 slices. Then bill ate half of 3 slices of pizza which is 1 1/2. Add them up and you get 4 1/2.
PLEASE HELP IM DESPERATE
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.
9, 15, 19
A) acute
B) obtuse
C) right
D) not a triangle
Answer:
Step-by-step explanation:
The sum of the two smaller sides of a triangle must be less than the longest side
a+b<c
Since 9+15>19 this is not a triangle.
Please answer quickly
If you can please explain how to do it
The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field
Answer: 88.8 m , 59.2 m
Step-by-step explanation:
Given
Breadth is [tex]\frac{2}{3}[/tex] of length
Suppose length is x m
So, breadth is [tex]\dfrac{2}{3}x[/tex]
Perimeter is given by [tex]P=2(L+W)[/tex]
Putting values
[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]
Length L is [tex]88.8\ m[/tex]
width W is [tex]\frac{2}{3}x=59.2\ m[/tex]
16 cm to 44.2 cm increase or decrease
Answer:
Increase
Step-by-step explanation:
Answer:
Increase.
Step-by-step explanation:
44.2cm is a higher number than 16cm.
choose all items where the equation matches the given table
Answer:
1st, 3rd, 4th
Step-by-step explanation:
1st one: 43 x
multiply x by 43
7 x 43 = 301
7 x 43 = 258
10 x 43 = 430
3 x 43 = 129
4 x 43 = 172
(correct)
2nd one: 12x
multiply x by 12
2 x 12= 32
we know that 2 x 12 is 2 so this equation does not work
(incorrect)
3rd one: 202x
multiply x by 202
6 x 202 = 1212
4 x 202 = 808
10 x 202 = 2020
3 x 202 = 606
8 x 202 = 1616
(correct)
4th one: 13x
multiply x by 3
9 x 13 = 117
2 x 13 = 26
7 x 13 = 91
3 x 13 = 36
10 x 13 = 130
(correct)
The radius of the earth is 6370 km what is the approximate circumference of the earth?
If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.
Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000
Step-by-step explanation:
A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.
Answer: 50 and 900 is correct
Step-by-step explanation:
50 and or 100
roduct and simplify your answer. 7n(-2n+5n-5) Enter the correct answer.
Answer:
[tex]21n^{2} - 35[/tex]
Step-by-step explanation:
[tex]7n(-2n+5n-5)[/tex]
[tex]-14n^{2} + 35n^{2} - 35[/tex]
[tex]21n^{2} - 35[/tex]
Does anyone know what 1/2 of -4x is? I am stuck on a question in math. Please help!
Which solid has the net shown?
Answer:
D
Imagine the triangles of the net going up to meet a point above the center of the square. This would lead to a shape with 5 sides, 4 of which are triangles. The only figure that has only triangles and squares making up the sides is figure D
In the equation: y=3x, what is the 3 called?
3 is the Coefficient in the following expression.
Lydia's transaction at Walmart. HOW MUCH CHANGE SHOULD HE REC 100-(15+14+345)+4410) +2)
A.$47 B$16 C. $14D. $20
Answer:
4686
Step-by-step explanation: