Answers
_____________________________________
Given: "A = (1/2) * b * h " ;
↔ A = (b * h) / 2
2A = (b*h) ;
2A/ h = b ;
↔ b = (2A) / h ;
Given A = 48 ; and h = 30 ; Plug in these values; and solve for "b" ;
→ b = (2*48) / 30 ;
= 96/30 ;
= (96÷6) / (30÷6) ;
→ b = 16/5 ; = 3 ⅕ ; or, write as: 3.2 .
_______________________________
Related Questions
Which ordered pair is a solution of the equation y = x – 3?
Answers
The ordered pair (5, 2) is the solution to the equation y = x - 3.
Explanation:
To find the solution to the equation y = x - 3, we need to substitute the x-value and see if the resulting y-value matches. Let's check each ordered pair:
For (-2, 5), substituting x = -2, we get y = -2 - 3 = -5, not a match.
For (-5, 2), substituting x = -5, we get y = -5 - 3 = -8, not a match.
For (2, 5), substituting x = 2, we get y = 2 - 3 = -1, not a match.
For (5, 2), substituting x = 5, we get y = 5 - 3 = 2, which is a match!
Therefore, the ordered pair (5, 2) is the solution to the equation y = x - 3.
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The probable question can be: Which ordered pair is a solution of the equation y=x - 3?
a. (-2,5)
b. (-5,2)
c. (2,5)
d. (5,2)
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A line has a slope of –3 and a y-intercept of 3.
What is the x-intercept of the line?
A: –9
B: –1
C: 1
D: 9
Answers
In y = mx + b form, the slope will be in the m position and the y int will be in the b position. So ur equation for this line is y = -3x + 3.
To find the x int, u sub in 0 for y and solve for x
y = -3x + 3
0 = -3x + 3
3x = 3
x = 3/3
x = 1 <=== ur x intercept
The x-intercept of a line with a slope of -3 and a y-intercept of 3 is 1(C). This is calculated by setting y = 0 in the equation of the line (y = -3x + 3) and solving for x.
Explanation:The question is asking for the x-intercept of a line with a slope of -3 and a y-intercept of 3.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -3 and b = 3.
The x-intercept of a line is the x-coordinate where the line crosses the x-axis. At the x-intercept, the y-coordinate is 0 because it's on the x-axis. Therefore, we set y = 0 in our equation and solve for x: 0 = -3x + 3.
By adding 3x to both sides and then dividing by -3, we find that x = 1. So, the x-intercept of the line is 1(C).
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what are two`fractions whose product is -3/5
Answers
I hope this helps.
To find two fractions whose product is -3/5, we can choose any two fractions that follow the rules of multiplying fractions. For example, the fractions 1/5 and -3/1 or -4/5 and 3/4 both have a product of -3/5.
Explanation:To find two fractions whose product is -3/5, we need to consider the rules of multiplying fractions. When we multiply two fractions, we multiply their numerators to get the new numerator and multiply their denominators to get the new denominator. In this case, we can choose any two fractions that satisfy these rules and have a product of -3/5.
For example, let's consider the fractions 1/5 and -3/1. When we multiply these fractions, we get (1 × -3) / (5 × 1) = -3/5.
Another example is the fractions -4/5 and 3/4. When we multiply these fractions, we get (-4 × 3) / (5 × 4) = -12/20, which can be simplified to -3/5.
Jamie has 7/10 of a pound of chicken to cook for dinner. If she is going to split the chicken beween 3 people,how much chicken will each person get?
Answers
use the five step plan to solve the word problem. Show all five steps in youre response. doug is twice anns age. doug is 34 years old. how old is ann?
Answers
teesha is in the French Club there are 26 students in the club the French teacher will pick three students at random to guide visiting students from France what is the probability that Tisha will not be picked as a guide
Answers
Chan her Bought 3.4 pounds of coffee that cost 6.95 per pound how much did you spend on coffee
Answers
Hope it helps
$23.63
A school is contemplating purchasing new computers for its computer lab. Each computer costs $1125. The school has a budget of $8,000. What are the possible numbers of computers that the school can buy?
Answers
The school can buy either 7 or 8 computers within the given budget of $8,000.
Explanation:To determine the possible number of computers the school can buy, we need to divide the budget by the cost of each computer. The budget is $8,000 and each computer costs $1125.
Using division, we can calculate:
$8,000 / $1125 = 7.11 (rounded to 2 decimal places)
Therefore, the school can buy either 7 or 8 computers within the given budget.
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what is 64.3-3x2 to the third power divide by 2
Answers
To solve the expression 64.3-3x2 to the third power divided by 2, simplify inside the parentheses, raise the result to the third power, and divide by 2.
Explanation:To solve the expression 64.3-3x2 to the third power divided by 2, we need to follow the order of operations, which is parentheses, exponents, multiplication, and division from left to right.
First, let's simplify the expression inside the parentheses: 64.3-3x2 = 64.3-6 = 58.3
Next, we raise the result to the third power: 58.3^3 = 19671.327
Finally, we divide the result by 2: 19671.327 / 2 = 9835.6635
Francisco makes $12 per hour doing part time work on Saturdays. He spends $4 on transportation to and from work. The equation y=12x-4 gives his earnings y, after transportation costs, for working x hours. Make a table for values for this situation. Please help.
Answers
x=2 y=20
x=3 y=32
x=4 y= 44
The y increases by 12 every hour, so it is a linear equation
In the given linear equations, we can use the equation y=12x-4 to create a table of earnings for different numbers of hours Francisco might work, taking into account his transportation costs. For example, if he does not work he loses $4 (-$4); if he works one hour he earns $8; if he works two hours he earns $20; if he works three hours he earns $32.
Explanation:In the equation y=12x-4, 'x' represents the number of hours Francisco works, and 'y' gives his earnings after transportation costs. Let's start creating a table using different values for 'x (hours)'.
For 0 hours (x=0), we substitute x into the equation to get y = 12*0 - 4 = -$4. Since Francisco can't earn negative money, we can consider this as him simply not going to work.For 1 hour (x=1), y = 12*1 - 4 = $8.For 2 hours (x=2), y = 12*2 - 4 = $20.For 3 hours (x=3), y = 12*3 - 4 = $32.So, the table would look something like this:
(0, -$4)(1, $8)(2, $20)(3, $32)This table provides four possible combinations of hours worked (x) and the corresponding earnings (y), taking into account the cost of transportation.
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A local hamburger shop sold a combined total of 605 hamburgers and cheeseburgers on Friday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
Answers
c = h + 55
h + h + 55 = 605
2h + 55 = 605
2h = 605 - 55
2h = 550
h = 550/2
h = 275 <== there were 275 hamburgers sold on Friday
c = h + 55
c = 275 + 55
C = 330...there were 330 cheeseburgers sold on Friday
The local hamburger shop sold 275 hamburgers on Friday, which was determined by setting up a system of equations to find the individual sales of hamburgers and cheeseburgers based on the given total sales and difference in numbers.
The question asks us to determine how many hamburgers were sold on a specific day, given the total number of hamburgers and cheeseburgers and the difference in their individual sales numbers. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. We are told that the total number of burgers sold is 605, so we can write the equation H + C = 605. We also know there were 55 more cheeseburgers sold than hamburgers, giving us the equation C = H + 55. To find the number of hamburgers sold, we need to solve these two equations simultaneously.
Substituting the second equation into the first, we get:
H + (H + 55) = 6052H + 55 = 6052H = 605 - 552H = 550H = 550 / 2H = 275Therefore, the hamburger shop sold 275 hamburgers on Friday.
Using the numbers 1,2,3,4 only once and the operations + or x as many times as you like, write an expression that evaluates to 16. Use this expression and any combination of those symbols as many times as you like to write an expression that evaluates to 816.
Answers
Final answer:
To obtain 16 using the numbers 1, 2, 3, and 4 with addition and multiplication, the expression is 4 x (3 + 1). To reach 816, place 8 in the hundreds place by calculating 8 x 100 and add the previously obtained 16.
Explanation:
To create an expression that evaluates to 16 using the numbers 1, 2, 3, 4 each only once and the operations + or x as many times as you like, we can use the following expression:
4 x (3 + 1) = 16
To write an expression that evaluates to 816 using our 16, simply prepend the number 8 to 16, which can be done by using multiplication and addition as follows:
8 x 100 + 4 x (3 + 1) = 800 + 16 = 816
This utilizes the concept that numbers can be broken down into sums of multiples of powers of 10 (place value), which is a fundamental principle in mathematics.
Please help me with this
Answers
If you have an equation where two number share the same base (ex: [tex]10 ^{x} * 10 ^{y}[/tex]), you keep the base the same and add the exponents ([tex]10 ^{x+y}[/tex]). So your first problem 10^5 * 10^7 = 10^12.
Dividing with exponents is just the opposite. If two numbers share the same base but have different exponents (ex: [tex] \frac{10 ^{x} }{10 ^{y} } [/tex]), you keep the base the same and subtract the exponents ([tex]10 ^{x-y} [/tex]). If this yields a negative exponent, you send it to the denominator and it becomes positive (ex: [tex]10 ^{-2} = \frac{1}{10 ^{2}} [/tex])
When simplifying expressions where you have the exponent of an exponent (ex: [tex](10 ^{x}) ^{y}[/tex]), you multiply the exponents together to create one power ([tex]10 ^{x*y}[/tex]. Same rule with yielding negative exponents applies but you should be okay looking at your worksheet.
If you need additional help still you can send me a message or reply in a comment and I'll come back. Same for if you need me to do examples from your piece of paper.
Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 10. Answer 10x + 5y = –25 5x – 10y = –12 20x + 5y = 50 2x + 6y = 10
Answers
The correct equation that represents a line with a negative slope and a y-intercept of 10 is 20x + 5y = 50, which rearranges to y = -4x + 10 in slope-intercept form.
Explanation:The question asks us to select the equation where the graph of the line has a negative slope and a y-intercept equal to 10. To find this, we need to rearrange each equation to the slope-intercept form, which is y = mx + b, where 'm' stands for slope and 'b' stands for y-intercept.
Let's analyze each equation:
10x + 5y = –25 rearranges to y = –2x - 5, having a slope of –2 and a y-intercept of -5.5x – 10y = –12 changes to y = 0.5x + 1.2, showing a positive slope of 0.5 and a y-intercept of 1.2.20x + 5y = 50 modifies to y = –4x + 10, which has a negative slope of –4 and a y-intercept of 10. This is the correct answer.2x + 6y = 10 turns into y = –1/3x + 10/6, having a negative slope of –1/3 but a y-intercept of 10/6.Thus, the correct equation is 20x + 5y = 50, which, when written in the slope-intercept form, displays a negative slope and meets our specification of a y-intercept equal to 10.
Final answer:
The equation with a graph that has a negative slope and a y-intercept of 10 is 20x + 5y = 50, when rearranged into slope-intercept form, it shows a slope of -4 and a y-intercept of 10.
Explanation:
To find the equation in which the graph of the line has a negative slope and a y-intercept equals 10, we need to convert the given equations into slope-intercept form, which is y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept.
Starting with each equation:
10x + 5y = -25 can be rearranged to 5y = -10x - 25, and then y = -2x - 5. Here, the slope (m) is -2, which is negative, but the y-intercept (b) is -5, not 10.
5x - 10y = -12 rearranged gives -10y = -5x - 12, and then y = (1/2)x + 1.2. This line has a positive slope, not a negative.
20x + 5y = 50 is rearranged to 5y = -20x + 50, and then y = -4x + 10. This line has a negative slope (-4) and the y-intercept is 10, so this is the correct equation.
Finally, 2x + 6y = 10 rearranged gives 6y = -2x + 10, and then y = -(1/3)x + (10/6), which simplifies to y = -(1/3)x + 1.6667. The slope is negative, but the y-intercept is not 10.
Therefore, the correct equation is 20x + 5y = 50, because its graph has a negative slope and y-intercept of 10.
Janet has 9 2/3 feet of cloth she needs to cut it into length of 1/3 feet how many complete lengths can she cut? please help! Thank you!
Answers
9 2/3=27/3 + 2/3 =29/3
29/3 divided by 1/3 = 29/3*3=29
She can cut 29 complete pieces,
Hope this helps!
Your song is "For Forever"
While driving from his home to his workplace, Chris has to pass through two traffic lights. The general probability of getting a red signal at the first traffic light (event A) is 36%. The general probability of getting a red signal at the second traffic light (event B) is 25%. The probability of Chris getting a red signal at both traffic lights is 9%. In this scenario, A and B are events.
Answers
The general probabilities of each event to happen separately is 36% for event A and 25% for event B. When considering that Chris passes one before passing the other, indicates that whether he gets the first light open or not will affect if he gets the other one also open or not. This can even be seen by noticing how the probability of Chris getting both red lights is 9%, a much inferior probability then considering both lights separately which means that one event has influence over the other.
What is the distance between point A (−1, 3) and point B (−7, 3) ?
1 units
3 units
6 units
8 units
Answers
Answer:
The distance between point A and the point B is:
6 Units.
Step-by-step explanation:
The Cartesian plane is known as 2 perpendicular number lines between them, one horizontal and one vertical, which are cut at a point called the origin.
And the coordinates are given by the values of X and Y (x, y)
Where X are horizontal values and Y are vertical values.
By placing the point (−1, 3) and the point (−7, 3) we realize that two values of Y are exactly the same on the line.
But the values of X are different from each other, so the units of the distance between them are counted.
-7U - (- 1U) = -6U
But since the distance units cannot be negative then the answer is 6 units of distance.
Yunika downloaded four applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads?
A. y = 1.99(x - 4) + 11.96
B. y = 11.96(x - 4) + 1.99
C. y = 1.99x + 11.96
D. y = 11.96x + 1.99
Answers
Answer:
THE ANSWER IS A and I GO TO AMANA ACADEMY CHARTER SCHOOL
Step-by-step explanation:
Yunika downloaded four applications for $2.99 each to her cell phone. So, these four applications cost a total of $11.96.
Each remaining application that Yunika downloaded cost $1.99. Since represents the total number of applications, then ( - 4) represents the number of $1.99 applications she downloaded.
Therefore, the equation that can be used to find how much Yunika spent on cell phone application downloads is shown below.
= 1.99( - 4) + 11.96
Final answer:
The equation to represent the total amount spent by Yunika on cell phone application downloads is y = 1.99(x - 4) + 11.96, which corresponds to option A.
Explanation:
To find the equation representing the total amount spent by Yunika on cell phone application downloads, we can let y represent the total amount spent and x represent the total number of applications downloaded. As given, Yunika downloaded four applications at $2.99 each which gives us a fixed cost of 4 applications × $2.99 = $11.96. The remaining applications cost $1.99 each, so for every application after the first four, Yunika spends $1.99. The total amount spent, y, can thus be calculated by multiplying the number of additional apps (which is x - 4) by their cost ($1.99), and then adding the fixed cost ($11.96).
Therefore, the equation can be written as y = 1.99(x - 4) + 11.96, which matches option A. This equation takes into account both the initial fixed cost for the first four apps and the variable cost for the remaining apps.
38 divided by 1558 and please show your work
Answers
38/1558
The answer is 41.78941
38/1588
-152
68
- 38
300
- 266
340
- 304
360
- 342
180
- 152
38
- 38
0
The answer is 41.78941
38/1588
-152
68
- 38
300
-266
340
-304
360
-342
180
-152
38
-38
0
In the given kite, AE = 6 ft , BE =9ft , and DE = 15ft . Determine the area of the kite .
Answers
BE Plus DE=24
The 12*24=288
Bc you multiply length times width
I hoper I helped
Answer:
The area of a kite is 144 ft².
Step-by-step explanation:
Given information: AE = 6 ft , BE =9ft , and DE = 15ft .
Area of kite is
[tex]A=\frac{1}{2}d_1d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.
From the given figure it is clear that BD and AC are diagonals of the kite.
[tex]d_1=BD=BE+DE=9+15=24[/tex]
[tex]d_2=AC=AE+CE=6+6=12[/tex]
The area of given kite is
[tex]A=\frac{1}{2}\times 24\times 12[/tex]
[tex]A=144[/tex]
Therefore the area of a kite is 144 ft².
Which of the following appears to be an irrational number?
A. 3.7777777
b.64 (square root)
c.- 6/5
D.0.484924024
oh, and I'll mark brainliest blah blah blah
Answers
The number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
It is given that:
The numbers are given in the options.
As we know from the definition of irrational and rational, the numbers in all real numbers cannot be represented as rational numbers.
The decimal expansion of the rational number is terminating or non-terminating recurring.
The decimal expansion of the irrational number is non-terminating and non-repeating.
The number 0.484924024 is non-terminating
Thus, the number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.
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Identify a temperature colder than -7.2 F. Write an inequality that relates the temperatures. Describe their positions on a horizontal number line. (I'll give most of my points!!!)
Answers
-9 < -7.2
The -9 would be 1.8 units to the left of -7.2 on the number line.
five added to 2 times a number is equal to 7 less than 4 times the number: what is the number?
Answers
Answer:
6
Step-by-step explanation:
Five added to 2 times a number is equal to 7 less than 4 times the number
Five is added to 2 times a number 2x + 5
7 less than 4 times the number 4x - 7
Put them together
2x+5=4x-7
2(6)+5=17
4(6)-7=17
x=6
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. A.8.54 B.9.54 C.11.00 D.24.00
Answers
[tex]a^2+b^2=c^2[/tex]
Here we have a=3, b=8:
[tex]3^2+8^2=c^2[/tex]
[tex]c^2=73[/tex]
[tex]c=8.54[/tex]
Answer:
8.54
Step-by-step explanation:
i took the test
V(j+y)=61y+82 solve for y
Answers
vj + vy = 61y + 82
Subtract 'vj' from both sides
vy = 61y + 82 - vj
Subtract 61y from both sides
vy - 61y = 82 - vj
Factor out the term y.
y (v - 61) = 82 - vj
Divide both sides by v - 61
y = 82 - vj / v - 61
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Write 0.000000874 in scientific notation please. (SO CONFUSING :/)
Answers
Add. Write your answer as a fraction in simplest form.
−4 5/9 + 8/9=
SHOW YOUR WORK
Answers
Which equations are related equations to 13 + x = 29?
Select each correct answer.
29 + 13 = x
13=29−x
x=29−13
13−x=29
Answers
13 + x = 29
Subtract 13 from both sides:
x = 16
Now look at each choice and solve for x.
A. 29 + 13 = x
x = 42
B. 13 = 29 - x
-16 = -x
x = 16
C. x = 29 - 13
x = 16
D. 13 - x = 29
-x = 16
x = -16
Choices B and C have the same solution as the given equation, so choices B and C are equivalent to the given equation.
Answer:
[tex]13=29-x[/tex]
[tex]x=29-13[/tex]
Step-by-step explanation:
Given equation is [tex]13 + x = 29[/tex]
Solve the given equation for x, subtract 13 from both sides
[tex]x=16[/tex]
Now we solve each equation given for x
[tex]29 + 13 = x[/tex], x=42
[tex]13=29-x[/tex], subtract 29 from both sides
[tex]-16=-x[/tex] divide both sides by -1
x=16
[tex]x=29-13[/tex], x= 16
[tex]13-x=29[/tex] subtract 13 from both sides
[tex]-x=16[/tex] divide both sides by -1
x=-16
Option B and C gives the same solution x=16
Describe at least 3 different ways to express the rate of change when given a situation.
Answers
Determining the starting point.
Measuring the distance to the end point.
How do I do these please help
Answers
After cross multiplying you will get 760,507,625x = 60,078,818,800
Then you will divide by 760,507,625 to isolate the varible to get 78.99 = x.
Your equation in number two is 80/143 = x/100 because when you subtract 143 by 63 you get 80, the amount of males in the room. Then you cross multiply to get, 143x = 8000. Then you would divide both sides by 143 to isolate the varible to get 55%