Answer:
h = 7 units
Step-by-step explanation:
Jessica made an error with the [tex]\frac{1}{2}[/tex] in that she multiplied A by it instead of dividing.
Given
A = [tex]\frac{1}{2}[/tex] bh
with A = 17.5 and b = 5, then
17.5 = [tex]\frac{1}{2}[/tex] × h × 5 ( multiply both sides by 2 to clear the fraction )
35 = 5h ( divide both sides by 5 )
h = 7
it is wrong .
Jessica's mistake:
A = 1/2bh
1/2A • b = h >she should multiply the area with 2 not 1/2 and divide the area by b rather than multiply by b
1/2 (17.5)(5) = h
43.75 = h
correct answer:
A = 1/2bh
2A/b=h
h=2(17.5)/5
h=7
Usando uma régua informe as medidas de um dos seus cômodos ( banheiro) abaixo:
COMPRIMENTO: 2,30 METROS LARGURA: 1,46 METROS
Determine a área desse cômodo
Temos ai um retangulo. Para usa area, basta multiplicar a medidas - que no caso sao 2,3m e 1,46m
Area Comodo = 2,3 x 1,46
Area Comodo = 3,358m²URGENT!!! Please help me with this question!!!!!! I will not accept nonsense answers!
Answer:
B
Step-by-step explanation:
The inscribed angle's arc measures 36°, and central angle's arc measures 72°.
Answer:
the answer is B
Step-by-step explanation:
What is an equivalent equation for 3 x = 12 minus 4 y when solved for x? X = 4 minus four-thirds y x = 4 + four-thirds y x = negative 4 + four-thirds y x = negative 4 minus four-thirds y
Answer:
[tex]x = 4 - \frac{4}{3}y[/tex]
Step-by-step explanation:
If we have the equation [tex]3x = 12-4y[/tex], we can simplify this equation down.
Divide both sides by 3:
[tex]x = 4 - \frac{4}{3}y[/tex] .
Hope this helped!
Answer:
X = 4 minus four-thirds y
Step-by-step explanation:
Well to solve for x we single it out.
3x = 12 - 4y
Divide 3 by everything,
x = 4 - 4/3y
Thus,
X = 4 minus four-thirds y.
I do hope this helps :)
Theo made sails for a Model boat he cut along the diagonal of a rectangular piece of cloth to make two sales as shown below what was the area of the square feet of one to
Answer:
You need to give more information.
Step-by-step explanation:
the probability of spinning an even number is 1/2 if you spin 600 times how many times would you predict getting an even number
Answer:
300
Step-by-step explanation:
1/2 * 600 = 300
There are 300 times would you predict getting an even number.
We have to given that,
The probability of spinning an even number is 1/2.
And, you spin 600 times.
Hence, Number of times would you predict getting an even number is,
⇒ 1/2 of 600
⇒ 1/2 × 600
⇒ 600 / 2
⇒ 300
Therefore, There are 300 times would you predict getting an even number.
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Consider the function f (x) = StartRoot 5 x minus 5 EndRoot + 1. Which inequality is used to find the domain?
Answer: [tex]5x-5 \ge 0[/tex]
This is the same as [tex]x-1 \ge 0[/tex]
========================================================
Explanation:
We have [tex]f(x) = \sqrt{5x-5}+1[/tex]
The stuff under the square root (this stuff is called the radicand) is what we'll focus on (the +1 at the end does not affect the domain at all). We want this to be 0 or larger. This is to avoid applying the square root to negative values, which leads to complications.
So 5x-5 must be 0 or larger meaning we write [tex]5x-5 \ge 0[/tex]
Optionally we can divide all three terms (5x, -5 and 0) by 5 to go from [tex]5x-5 \ge 0[/tex] to [tex]x-1 \ge 0[/tex]
If you wanted to solve for x, you would get [tex]x \ge 1[/tex] to set up the domain. Meaning that x = 1 is the smallest x value you can plug into the function. The x value can be anything larger than 1 as well.
Assume that a procedure yields a binomial distribution with a trial repeated n=18 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=5 successes given the probability p=0.51 of success on a single trial.
(Report answer accurate to 4 decimal places.)
Answer:
0.0278 is the probability
Step-by-step explanation:
Okay, here we want to find the probability of 5 successes
The best way to go about this is by using the Bernoulli trial
So is p = probability of success = 0.51
Then q = probability of failure = 1-0.51 = 0.49
Mathematically, the Bernoulli approximation for k = 5 out of n = 18 is set up as follows;
P(k = 5) = nCk • p^k • q^(n-k)
P(k = 5) = 18C5 * 0.51^5 * 0.49^13
P(k = 5) = 0.027751047366 which is 0.0278 to 4 decimal places
A book has 282 pages,each 0.02mm thick.How thick is the book?
Answer:
5.64mm
Step-by-step explanation:
book's thickness=page thickness*number on page
book's thickness=282 pages*0.02mm
book's thickness=5.64mm
Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given slope a, 3) and (-3, - 1), m = -2
Answer:
a=-5
Step-by-step explanation:
When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.
Answer:
a = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)
m = [tex]\frac{3+1}{a+3}[/tex] = [tex]\frac{4}{a+3}[/tex] = - 2 ( multiply both sides by a + 3 )
- 2(a + 3) = 4 ( divide both sides by - 2 )
a + 3 = - 2 ( subtract 3 from both sides )
a = - 5
a student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?
(plz tell me how to figure it out)
Answer:
80%
Step-by-step explanation:
The basic idea of this problem is to convert [tex]\frac{44}{55}[/tex] into a percentage. [tex]\frac{44}{55}[/tex] can be simplified to [tex]\frac{4}{5}[/tex] which is also 80%.
Answer:
Step-by-step explanation:
44 out of 55
divide :44/55=0.8
to convert it to decimal you multiply by 100 and put percentage next to it
0.8*100=80
%80
If f(x) = 2x2 - 5 and g(x) = x2 - 4x - 8, find (f - g)(x).
O A. (f- g)(x) = x2 - 4x - 3
O B. (f- g)(x) = x2 + 4x + 3
O C. (f- g)(x) = 3x2 - 4x - 13
O D. (f - g)(x) = -x2 - 13
The value of (f - g)(x) is x² + 4x + 3 if f(x) = 2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 2x² - 5
g(x) = x² - 4x - 8
(f - g)(x) = f(x) - g(x)
= (2x² - 5) - (x² - 4x - 8)
= 2x² - 5 - x² + 4x + 8
= x² + 4x + 3
(f - g)(x) = x² + 4x + 3
Thus, the value of (f - g)(x) is x² + 4x + 3 if f(x) = 2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.
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The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
Hey, I need help.
A school has 486 students, and this is an 8% increase from the number of students last year. How many students were in school last year?
Please also show working out, thanks :)
486 ÷ 108
4.5 x 100
450 were there last year
Answer:
The answer is 450Step-by-step explanation:
Let the original number of students be x
Since the number of students increased by 8% we add 8% to 100% making it 108%
108% of the original number of students gave us 486
So we have
108% of x = 486
108 / 100 × x = 486
Multiply through by 100
108x = 48600
Divide both sides by 108
x = 450
So the number of students in the school last year was 450
Hope this helps you
Which option is it??????
Answer:
both the equation and it's inverse are functions
when one third of a number is decreased by 11, the result is 38. find the number.
Answer:
Hey mate, here is your answer!
Step-by-step explanation:
let x be the #
x/3-11=38
x-11(3)=38(3)
x-33=114
x=114+33
x=147
Every day, Jason runs for 34 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
Answer:
664 minutes
Step-by-step explanation:
34 + 49 = 83
83 minutes a day
83 x 8 = 664
Answer:223
Step-by-step explanation:
Royston's car had gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with gallons. If the car consumed gallons of gas during the trip, there are still gallons of gas remaining in the tank.
Answer:
3 gallons of gas are still remaining in the tank
Step-by-step explanation:
Royston's car had 15 1/5 gallons of gas at the start of the trip. During the trip, he stopped at a gas station and he refueled the car with 5 3/5 gallons. If the car consumed 17 4/5 gallons of gas during the trip, there are still ____________ gallons of gas remaining in the tank?
Given:
Initial gallons of gas=15 1/5
Refueled gallons of gas= 5 3/5
Used gallons of gas=17 4/5=89/5
Total gallons of gas available=
Initial + Refueled
=15 1/5 + 5 3/5
=76/5 + 28/5
=76+28/5
=104/5 gallons
Equivalent to
=20 4/5 gallons
Total remaining gallons of gas= Total gallons of gas available - Total gallons of gas used
=104/5 -89/5
= 104-89/5
=15/5
=3 gallons
Answer:
3 gallons
Step-by-step explanation:
Represent the expression
(4 x 1,000) + (3 x 100) + (6 x
1/100) + (7x1/1000)
as a decimal number.
Work Shown:
4*1000 = 4000 = 4 thousand
3*100 = 300 = 3 hundred
6 * (1/100) = 0.06 = 6 hundredths
7 * (1/1000) = 0.007 = 7 thousandths
add up the results
4000 + 300 + 0.06 + 0.007 = 4300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000)
Simplify the expression, then we have
⇒ 4,000 + 300 + 0.06 + 0.007
⇒ 4,300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
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The cost of a cell phone bill (C) increases when the number of text messages (T) increases. Write the correct equation for this scenario, and solve for the cost when the number of texts is 4.
Answer:
[tex]c = \frac{2}{5} t[/tex], if the number of texts is 4, then the cost is $1.60.
Step-by-step explanation:
If 2 texts costs $5, then each text costs $[tex]\frac{2}{5}[/tex].
So, we can setup the equation to [tex]c = \frac{2}{5} t[/tex].
If the number of texts is 4, we can substitute that into our equation.
[tex]c = \frac{2}{5} \cdot 4[/tex]
[tex]c = \frac{8}{5}[/tex]
[tex]c = 1.60[/tex]
Hope this helped!
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day.
What is the slope for this linear relationship?
Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
____________________________________________
Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
.
.
.
.
similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
help plz its math and i will give brainlest if u answer
Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
Answer:
Step-by-step explanation:
A triangle is a right angled triangle if sum of squares of two sides is equal to the square of third side.
12²+15²=144+225=369
21²=441
so a²+b²≠c²
it is not a right angled triangle.
A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?
Answer:
[tex]\boxed{\sf \ \ YES \ \ }[/tex]
Step-by-step explanation:
Hello
let's say that the price of the book was x
the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x
and this is $72 so we can write that
0.8*x=72
and then divide by 0.8 both parts
x = 72/0.8=90
So the list price value of the book is $90
and we can verify as 90 - 20%*90 = 90 - 18 = 72
Hope this helps
Which graph represents the solution to this system of inequalities? y 2x-4
Answer:
where's the graph??? .......
If $6a^2 + 5a + 4 = 3,$ then what is the smallest possible value of $2a + 1$?
Answer: 0
Step-by-step explanation:
The given equation: [tex]6a^2+5a+4=3[/tex]
Subtract 3 from both the sides, we get
[tex]6a^2+5a+1=0[/tex]
Now , we can split 5a as 2a+3a and [tex]2a\times 3a = 6a^2[/tex]
So, [tex]6a^2+5a+1=0\Rightarrow\ 6a^2+2a+3a+1=0[/tex]
[tex]\Rightarrow\ 2a(3a+1)+(3a+1)=0\\\\\Rightarrow\ (3a+1)(2a+1)=0\\\\\Rightarrow\ (3a+1)=0\text{ or }(2a+1)=0\\\\\Rightarrow\ a=-\dfrac{1}{3}\text{ or }a=-\dfrac{1}{2}[/tex]
At [tex]a=-\dfrac{1}{3}[/tex]
[tex]2a+1=2(-\dfrac{1}{3})+1=-\dfrac{2}{3}+1=\dfrac{-2+3}{3}=\dfrac{1}3{}[/tex]
At [tex]a=-\dfrac{1}{2}[/tex]
[tex]2a+1=2(-\dfrac{1}{2})+1=-1+1=0[/tex]
Since, [tex]0< \dfrac{1}{3}[/tex]
Hence, the possible value of 2a+1 is 0.
A teacher is grading exit tickets on the train. It takes
him 42.5 seconds to grade each exit ticket, and he will
arrive at his destination in 5 minutes. The teacher knows
he will need to save 30 seconds to pack up his materials.
What is the maximum number of exit tickets that he can
grade?
A) 8
B) 7
C) 6
D) 5
Answer:
6 papers
Step-by-step explanation:
5 minutes = 5 * 60 = 300 seconds
He needs to save 30 seconds
300 - 30 = 270 seconds
270 seconds / 42.5 seconds per paper
6.352941176 papers
Rounding down since he want to completely grade the paper
6 papers
which of the following is the range of the function based on the input-output table?
Answer:
Range { 1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
The range of the function is the output, so it would be the values of the pay per month
Range { 1000,1100,1200,1300,1400,1500,1600}
Answer:c
Step-by-step explanation:
Need help, please!! Don't anwser if you don't know it!!!!!!
Answer:
C
Step-by-step explanation:
On the horizontal axis, as the discount (%) increases by 1(%), on the vertical axis; the sales increase (%) increases by 3(%).
When the discount is 10%, the sales increase is 32%.
When the discount is 20%, the sales increase is 62%.
20 - 10 = 10
10 × 3 = 30
32 + 30 = 62 (correct)
The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square xx
Answer:
4 triangles and 1 square
Step-by-step explanation:
If we are to make a net of this pyramid, we'd have a net that has 4 triangles, and 1 square.
The base of the pyramid has 4 sides of equal length of 5 in each. A polygon that has 4 right angles and 4 sides that are of equal sizes or lengths is said to be a square.
Therefore, the net of the figure above is made up of 4 triangles and 1 square.
Answer: 4 triangles and 1 square
Step-by-step explanation
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answer:
The quotient is 2x^2+4x+11
Step-by-step explanation:
Determine the settlement set of the following trigonometric equations! cos (x - 1/3π) = cos 1/2π, 0 ≤ x ≤ 2π
cos (x - π/3) = cos (π/2)
Then we need x - π/3 = π/2
Solving the equation:
x - π/3 = π/2
x = π/2 + π/3
x = 5π/6