In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]
Using logarithm table evaluate the
[tex] \frac{ \sqrt[3 ]{1.376} }{ \sqrt[4]{0.007} } [/tex]
By using the logarithm table, the value of the expression is approximately written as 5.796.
To begin, let's use the properties of radicals and logarithms to rewrite the expression:
[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]
Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:
=> 1.373 ¹/₃ = 1.092,
=> 0.007⁻¹/₄ = 5.311
Finally, we can substitute the approximated values back into the original expression:
≈1.092×5.311≈5.796.
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If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?
Answer:
55 miles
Step-by-step explanation:
Given data
DIstance = 825 miles
Time = 15 hours
Speed= distance/time
Speed= 825/15
Speed= 55 miles per hour
Given that we want to find the distance traveled in 1 hour, we have
Distance= Speed*time
Distance= 55*1
Distance= 55 miles
Hence the car will travel 55 miles in 1 hour
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?
Answer:
16 sweets
Step-by-step explanation:
Number of sweet that Sekhar had = x
Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]
Sweets given to Raji = 5
Remaining sweets = 7
[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
One banana cost $30 how many do 80 bananas cost
Answer:2400 ...
Step-by-step explanation:
What is the product of a,b, and c?
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answer:B
Step-by-step explanation:
What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
Helpppp plzzz I will mark brainliestttt
–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
Find the missing side
Answer:
20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 -225
b^2 =400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
The square root of 14641 will have how many digits
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help
Answer: figure it out.
Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...
PLEASE HELP ME ASAP!!!
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
hi sorry for answering late but the answer is D)greater than or equal to
Step-by-step explanation: Have a nice day :)
Answer:
greater than or equl to
Step-by-step explanation:
just gave answer i think not sure and it d by the way
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.
Answer:
[tex]\frac{5(x+y)}{-8x}[/tex]
Step-by-step explanation:
It is a fraction that usually has a numerator and denominator
the numerator is the number on top while the denominator is the number below
[tex]\frac{a}{b}[/tex]
In the above fraction, a is the numerator while b is the denominator
Numerator =5 × ( x + y)
Denominator = -8x ( negative means there is a negative sign before 8)
( product means multiplication)
[tex]\frac{5(x+y)}{-8x}[/tex]
Which is larger, 9 kilograms or 8,500 grams?
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
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