Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
paving
6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.
Given :
A road 2 m broad surrounds a square park 4225 m² in area.
Size of marble is 25 cm by 8 cm.
Price of each marble is Rs 50.
To Find :
Total cost.
Solution :
Side of square road is :
[tex]A^2 = 4225\ m^2\\\\A = 65\ m[/tex]
Area of road = [tex]4\times 65\times 2 \ m^2=520\ m^2[/tex]
Number of marbles required is :
[tex]N = \dfrac{A}{a}\\\\N = \dfrac{520\times 10^4\ cm^2}{200\ cm^2}\\\\N = 26000[/tex]
It is given that price per marble is Rs 50.
So, total price required is :
[tex]P = Rs \ 50\times 26000 \\\\P = Rs \ 13,00,000[/tex]
Hence, this is the required solution.
will mark brainliest if answer is correct
Answer:
1 is non proportional
2 is proportional
3 is not proportional
Answer:
1. not proportional
2. unit rate = 2.19
3. unit rate = 0.4
Bentley took a ride on Rudolph’s back. At 8:00 pm, he counted 68 stars. At 10:00 pm, he counted twice as many stars. At 12:00 am, he counted five times more stars than his first count.
A. How many stars did Bentley count at 10:00 pm?
B. How many stars did Bentley count at 12:00 am?
Answer:
A. 136 stars
B. 340 stars
Answer:
At 10 pm he counted 136 stars and at 12 pm he counted 340
Step-by-step explanation:
for 10 pm:
68 x 2
for 12 pm:
68 x 5
1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points
function. Use SQRT to indicate square root and use parenthesis for
fractions. Example: 9-1(x)=SQRT{(x-2)/3)-6 *
g(x) = 2(x – 3)2 + 4
Your answer
Answer:
g-1(x)=SQRT{(x-4)/2} + 4
Step-by-step explanation:
I assume that the 2 is the exponent so ^ represents exponent
We know your function is g(x)=2(x-3)^2+4
For inverse functions we swap x and y values, note g(x) is like the y value
Isolate for y
y=2(x-3)^2+4
x=2(y-3)^2+4
(x-4)/2 = (y-3)^2
SQRT{(x-4)/2} + 4 = y
Therefore g-1(x)=SQRT{(x-4)/2} + 4
Matthew dropped a tennis ball off the roof of 100 foot tall building. The objects height (y) is modeled by the equation below. At what time (t) does the ball hit the ground? Round your answer to the nearest tenth
Answer:
2 seconds later
Step-by-step explanation:
Since the required equation is lacking, let the equation modeled by the height be expressed as y = -16t² + 64
The ball hits the ground at y =0. Substitute y = 0 into the expression and find t;
Since y = -16t² + 64
0 = -16t² + 64
16t² = 64
t² = 64/16
t² = 4
t = ±√4
t = 2 and -2
Time cannot be negative, hence the ball hits the ground 2 seconds later.
Note that the equation used was assumed. Similar solution can be applied for any given equation.
99-45f+36b in factored form
Y-4=3(x - 1)
Identify slope
and what is an “anchor point”
Distance for 3 minutes and at the speed of 17m/s
Answer: speed = 17m/s
time taken = 3min = 3 x 60 = 180 seconds (1min = 60sec)
distance = ST
= speed x time
= 17 x 180
= 3060m
pls mark as the brainliest
^_^
Factor an 8 from the expression: 32 + 40b
A square has a perimeter of 100m. what is the length of each side?
Answer:
25m
Step-by-step explanation:
The perimeter of a square= 4L (L=length of the side)
so L=perimeter /4
=100/4=25m
Evaluate the function for f(3).
f(x) = -3x - 8
Find the slope (6,-2), (0,2)
If you can answer that would be nice, thank you.
What type of angle is shown here?
Answer:
I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.
Help me with this please!!
Answer:
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Step-by-step explanation:
We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.
For example, Let suppose
segment LM = 30 unitssegment AB = 30 units segment BC = 30 unitsLM ≅ AB and AB ≅ BC, then LM ≅ BC
30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30
Thus, this validates the 'Transitive Property of Segment Congruence'.
Now Given
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.
Answer:
Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."
Step-by-step explanation:
You need to write the rest yourself.
What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Answer:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Step-by-step explanation:
The question is poorly formatted.
Given
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Required
Derive an equivalent expression
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Express 18 as 9 * 2
[tex]\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}[/tex]
Split the expression as follows:
[tex]\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}[/tex]
Take positive square root of 9
[tex]\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}[/tex]
[tex]\sqrt[3]{2y^3} * 21 * \sqrt{2y}[/tex]
[tex]21*\sqrt[3]{2y^3} * \sqrt{2y}[/tex]
The cube root can be rewritten to give:
[tex]21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}[/tex]
[tex]\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y[/tex]
So, we have:
[tex]21*\sqrt[3]{2} * y * \sqrt{2y}[/tex]
Rewrite as:
[tex]21y *\sqrt[3]{2} * \sqrt{2y}[/tex]
Split [tex]\sqrt{2y[/tex]
[tex]21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}[/tex]
Collect Like Terms
[tex]21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}[/tex]
Represent in index form
[tex]21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}[/tex]
Apply law of indices
[tex]21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }[/tex]
[tex]21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}[/tex]
[tex]21*y^{\frac{3}{2}} *2^{\frac{5}{6}}[/tex]
[tex]21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Hence:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Find the explicit formula for 15, 12, 9, 6,
A. a= 3n - 18
B a, = -3n + 18
C a. = 3n + 18
D. a= -3n - 18
Answer:
D
Step-by-step explanation:
Fred weighs 40 pounds less than twice Barney. Their combined weight is 320 pounds. Let F = Fred's weight in pounds and B = Barney's weight in pounds. Write a system to represent the situation. DO NOT SOLVE.
Answer:
Step-by-step explanation:
Using the information provided we can create two different equations for this system. The first of which would be Fred's overall weight, while the second equation would be Fred's and Barney's combined weight. These equations would be the following...
F = 2B - 40
320 = F + B
As requested I will not solve the system of equations and leave them as they are.
There are 165 laptops and desktop computers in a lab. There are 9 more laptops than desktop computers. What is the total number of laptops in the lab?
Answer:
87
Step-by-step explanation:
Let d = number of desktops.
Let a = number of laptops.
a + d = 165
a = d + 9
d = a - 9
a + d = 165
a + a - 9 = 165
2a - 9 = 165
2a = 174
a = 87
Answer: 87
Answer:
87
Step-by-step explanation:
Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?
Answer:
0.57 inches was left
Step-by-step explanation:
Here, we start by calculating the total length of the yam they have
Mathematically, that will be 0.37 + 0.45 = 0.82 inch
Now, to get what is remaining, we subtract what was borrowed
Mathematically, that is 0.82-0.25 = 0.57 inches
April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job?
Answer:
she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.
What is an equation of the vertical line that passes through (−2, −9)?
x=?
Answer:
x = -2
Step-by-step explanation:
1 of 6
© As an estimation we are told 5 miles is 8 km.
Convert 25.9 miles to km.
Answer:
41.68201 km=25.9 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
5m=8k
25.9m = ?k
25.9/5 = 5.18
5.18 X 9 = 46.62
Therefore 25.9 miles is 46.62 km
Identify the domain of the function shown in the graph.
Step-by-step explanation:
The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)
The ladder to the top of the super silde is 9 meters and the slide is 41 meters long how far is it from the bottom of the slide to the ladder?
Answer:
40 metres
Step-by-step explanation:
Pythagoras = [tex]\sqrt{41^{2} -9^{2} } =\sqrt{1600} =40[/tex]
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Answer:
x=3.2
Step-by-step explanation:
8*0.4=3.2
We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that the perimeters of x is
x=3.2
From the question we are told
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Generally the equation for the the ratio is mathematically given as
2=x
and
5=8
Therefore
[tex]x=\frac{2*8}{5}[/tex]
x=3.2
Therefore
the perimeters of x is
x=3.2
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Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5
Answer:
1. 8,5a + 38
2. 5,5+b
Step-by-step explanation:
1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38
2. 8+b-2,5= 5,5+b
The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing the significance of the difference between the means is
Answer:
Independent-samples t-test.
Step-by-step explanation:
We are looking for the appropriate design for testing the significance of the difference between the means.
Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.
Thus, the test to be used here is Independent-samples t-test.
Write an inequality that represents the graph.
Answer:
[tex]y - 2x - 1 = 0[/tex]
Step-by-step explanation:
the slope is :
[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]
at a pt on graph , when
[tex]x = 1 \\ y = 3 \\ [/tex]
therefore, coordinates are (1,3)
The equation is :
[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]
Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)
Answer:
16.4
Step-by-step explanation:
4(5.5 + 6) - 3(6 + 4)
4(11.6) - 3(10)
46.4 - 30
16.4
Answer:
The answer is 16.
Step-by-step explanation:
4(x+6)−3(y+4)
=4x+24-3y-12
=4(5.5)+24-3(6)-12
=22+24-18-12
=46-30
=16
