Answer:
Step-by-step explanation:
Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.
Answer:
120 square inches
Step-by-step explanation:
From the above question, we are told that:
Rectangle ABCD is similar to Rectangle WXYZ .
The area of ABCD is 30 square inches.
We are also given the ratio of their side length = 1/2
To the find the area of the second rectangle, the scale factor = k² is required where:
k = ratio of the side lengths
Let us represent the area of the.secind Rectangle as = x
Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.
Hence
30/x = k²
30/x = (1/2)²
30/x = 1/4
We cross Multiply
= 30 × 4 = x
x = 120 square inches.
Therefore, the area of Rectangle WXYZ is 120 square inches.
A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)
so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..
Step-by-step explanation:
Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.
Answer:
The answer is 410
Step-by-step explanation:
You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3
write a system of linear inequalities represented by the graph
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.
Answer:dam I got the same thing
Step-by-step explanation:
By the way this Brandon
I just want to know the word please.
What's the solution: 7x = 5x - 25 + 30
Answer:
[tex]x= \frac{5}{2}[/tex]
Step-by-step explanation:
1) First, Simplify 5x-25+30 to 5x+5.
7x = 5x + 5
2) You then Subtract 5x from both sides.
7x − 5x = 5
3) Simplify 7x-5x to 2x.
2x = 5
4) Lastly, Divide both sides by 2.
[tex]x=\frac{5}{2}[/tex]
Decimal Form: 2.5
Answer:
X= 5/2
Step-by-step explanation:
7x=5x-25+30
_5x -5x
2x=-25+30
2x=5
/2. /2
x=5/2
Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have
Answer:
41 games ( Brianna Has)
Geo has 82 because 25x25 equals 75 and 75+7 equals 82.
Answer:
Brianna Has 41 games
Step-by-step explanation:
To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?
Final Answer: 18 lemons
Explanation:
8 x 3 = 24
In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.
6 x 3 = 18
Therefore, you need 18 lemons. :)
Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cent stamps. Solve the equation 0.57 s + 0.3 ( s − 6 ) = 8.64 for s , to find the number of 57-cent stamps that Julie bought.
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Let f(x) = 2x + 2. Evaluate for f(6)
Answer:
f
(
6
)
=
74
Explanation:
If
f
(
x
)
=
2
x
2
+
2
then
XX
f
(
6
)
=
2
⋅
6
2
+
2
XXXXX
=
2
⋅
36
+
2
XXXXX
=
74
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
plug in 6
the rest is common sense
what is 0.16 to 4 significant figures?
Answer:
0.1600
Step-by-step explanation:
because it would round to the closest number which is 0.1600
Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
PLEASE HELP AND QUICK!!!
Answer:
A
Step-by-step explanation:
dude trust me
Question !
Qa/ 4.2 - 1.5² +0.3 x0.7
Step-by-step explanation:
8x+8−3(x+4)−7(2−x)
8x+8−(3x+12)−7(2−x)
8x+8−(3x+12)−(14−7x)
8x+8−3x−12−14+7x
(8x−3x+7x)+(8−12−14)
12x-18
Please select the word from the list that best fits the definition
comes from a specific place
Point-source pollution, I took the test.
Answer:
Point-source pollution
Step-by-step explanation:
what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!
Step 1:
[tex]2 {x}^{2} - 5x - 12[/tex]
Step 2:
[tex]2 {x}^{2} - 8x + 3x - 12[/tex]
Step 3:
[tex]2x(x - 4) + 3(x - 4)[/tex]
Step 4:
[tex]\blue{(x - 4)(2x + 3)}[/tex]
PLEASE HELP! WILL MARK BRAINLIEST
Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!
You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.
Answer:
Without cutting any of the slabs, what is the largest square patio you are able to build?
8 ft x 8 ft = 64 ft²Will you have any slabs left over? If so, how many?
yes, I will have 16 slabs left overStep-by-step explanation:
to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs
if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)
Round 1,217 to the nearest thousand.
Answer:
1,000
Step-by-step explanation:
if it's past 1500 or in 1500 it would fall to 2000
but like it's less then 1,500 then it falls to 1000
hopefully it's right
7w+7=-4+4w+23 what is this?
Answer: 7w+7=-4+4w+23 = W = 4
First you have to simplify the equations
7w+7= (4w) + (-4+23) 7w+7= 4w+19
Than you have to subtract the 4w (both equation)
7w+7-4w =4w = 4w + 19 - 4w = 3w+7= 19
And than you have to subtract the sevens
3w+7-7=19-7=3w=12
than divide by 3
3w/3 equals 12/3w=4
Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO
Answer:
D) [tex]\sqrt{6}[/tex]
Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.
Here is how to understand if a number irrational or not:
Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)EXAMPLE: For non-recurring and non- terminating decimal expansions.
2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.
EXAMPLE:
[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square
Solve for x
I
(2x +1)° (5x +50°
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.
Answer:
30
Step-by-step explanation:
The mean is equal to the number of trials times the probability.
x = (3/10) (100)
x = 30
We expect to draw a pink marble 30 times.
Please please please please help
Answer:
y=1
Step-by-step explanation:
Answer:
y=1 I not the greatest at math but I am 100% sure this is correct. :)
Someone plz help with e and f I’ll mark as a brainliest
Answer:
e.) 110 = x
f .) 41 = h
Step-by-step explanation:
e
*vertical angles are congruent
78=x-32
+32 +32
110 = x
f
* alternate exterior angles are congruent
126 = 2h + 44
-44 -44
82 = 2h (divide both sides by 2)
41 = h
How far can a cheetah run in 2 hours at a speed of 40 miles/hour?