Answer:
10
Step-by-step explanation:
HCF of 20, 40 & 50:
20: 1, 2, 4, 5, 10, 20
40: 1, 2, 4, 5, 8, 10, 20, 40
50: 1, 2, 5, 10, 25, 50
HCF: 10
Topic: HCF and LCM
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Sally ran 1/3 of a mile and swam 5/6 of a mile. In simplest form, how much farther did
she swim than she ran?
4
5/18
3/6
1/2
4/3
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Answer:
3/6
Step-by-step explanation:
1/3 can be converted to 2/6. From the you would subtract 2/6 from 5/6 which would give you your awnser of 3/6.
y + 2 = 1/2x - 2 in standard form.
Answer:
x - 2y - 8 = 0
Step-by-step explanation:
y + 2 = 1/2x - 2
y + 2 + 2 - 1/2x = 0
-1/2x + 4 + y = 0
-2[-1/2x + y + 4] = 0(-2)
x - 2y - 8 = 0
The football coach threw a football from a platform to his
quarterback below. The height of the football, h, at time t seconds is modeled by the equation h(t) = -16t^2 + 28t + 15.
1. What is the maximum height of the ball?
2. If the quarterback caught the ball at a height of 6 feet, how many seconds was the ball in the air?
3. Give the domain and range of the function.
Answer:
1)27.25 feet
2)-0.2774,2.027
3)Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
Step-by-step explanation:
The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]
General quadratic equation : [tex]ax^2=bx+c=0[/tex]
1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]
To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation
[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]
2)
Substitute h(t)=6
So, [tex]-16t^2+28t+15=6[/tex]
[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]
3)
Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
solve step by step solution then only i can do it plxx
Answer:
Let's understand the concept:-Here angle B is 90°
So [tex]\triangle ABC[/tex] and [tex]\triangle ABD [/tex] Are right angled triangle
So we use Pythagoras thereon for solution
Required Answer:-First in triangle ABCperpendicular=p=8cm
Hypontenuse =h =10cm
We need to find base=bAccording to Pythagoras thereon
[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]
Substitutethe values[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]
[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]
[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]
BD=BC+CD[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]
[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]
Now in [tex]\triangle ABD [/tex]Perpendicular=p=8cm
Base =b=15cm
We need to find Hypontenuse =AD(x)According to Pythagoras thereon
[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]
Substitute the values[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]
A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?
There are 9 blue marbles.
Step-by-step explanation:
12÷4=3
3×3=9
Describe in words and symbols the end behavior of f(x)=−5x4
Answer:
The graph is attached below.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=-5x^4[/tex]
Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴, then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.
This means that f(x) → −∞ as x → −∞ and f(x)→−∞ as x→∞.
The graph is attached below.
Answer:
Step-by-step explanation:
X +4> -10
..........
Answer:
X>-14
Step-by-step explanation:
Just had to solve it
Divide the difference between 1,200 and 700 by 5
Answer: 1200 minus 700=500 divided by 5=100
Step-by-step explanation: I got it right on a test
Answer:1200 minus 700=500 divided by 5=100
Step-by-step explanation:
A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
Answer:
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.
Step-by-step explanation:
im built different
Ellen reads an average of 33 pages per day from Monday through Friday and an average of 68 pages per day on the weekend. For each week, what is the average number of pages that Ellen reads per day?
Answer:
Ellen reads an average of 43 pages per day.
Step-by-step explanation:
33 × 5 = 165
68 × 2 = 136
165 + 136 = 301
301 ÷ 7 = 43
A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price of the boots?
Answer:
The new price of the books = $60.75
Step-by-step explanation:
As the original price is: $45As the markup is: 35% = 35/100 = 0.35
The Markup on the original price is:
0.35 × 45 = $15.75
Hence, the new price of the boots:
$45 + $15.75 = $60.75
Therefore, the new price of the books = $60.75
Dana’s dozen muffins Banana nut muffins to chocolate chip muffins.
6 chocolate chip 3 bran 2 banana nut 1 blueberry
Answer:
2:6
Step-by-step explanation:
2 banana nut, to, 6 chocolate chip
Three times the square of a number is 6 more than
twice the number. What is the number?
Answer:
two is the number
Step-by-step explanation:
i think that
The required number is 1.786.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number is x,
According to given condition,
3×x²= 2×x+6
⇒3x²= 2x+6
⇒3x²-2x-6=0
There are two values of x, -1.12 and 1.786
Neglect negative value,
By solving the equation, the value of x is 1.786.
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help plz this hard i really need help
With all questions???
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Answer:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Step-by-step explanation:
have a nice day!!!
Enter the decimal represented by the shaded square.
The shaded square represents
Answer:
56/100 or 14/25 simplified
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent
Answer:
It represents no total profit
Step-by-step explanation:
The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)
DOOGGGGGGGGGGGGGGGGYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Answer:
AWW CUTEEE!
Step-by-step explanation:
Is he/she yours? They are adorable :)
(-2x)(x-3)
I need help with algebra!
Answer:
The answer should be -2x^2+6x
A novelist can write 2and 1 fourth pages in 3 fourths hour. How many pages can she write per hour?
Answer:
The novelist can write 3 pages per hour
Step-by-step explanation:
Unit rate is the work done per unit time.
Given
Number of pages = p = [tex]2\frac{1}{4} = \frac{9}{4}[/tex] pages
Time =t = [tex]\frac{3}{4}[/tex] hours
In order to find the number of pages per hour, we have to divide the number of pages by hours.
So,
[tex]Pager\ per\ hour = \frac{\frac{9}{4}}{\frac{3}{4}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}\\pages\ per\ hour = \frac{9}{4} * \frac{4}{3}\\= 3\ pager\ per\ hour[/tex]
Hence,
The novelist can write 3 pages per hour
228:4 as a unit rate
Step-by-step explanation: 228/4 = 57, so 57/1 = 57:1.
Answer:
57: 1
Step-by-step explanation:
You take 228 divided by 4 which will give you 57 you do it to this side so you did the same thing to the other which mean you take 4 divided by 4 which is 1 therefore the unit rate is 57: 1
The diameter of the circle is 6 what’s the circumference
Answer:
If the diameter of a circle is 6 your answer is 18.85
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
2πr = CRadius: D ÷ 2 = 6 ÷ 2 = 3Plug 3 into the formula: 2π32π = 2 × 3.14 = 6.286.28 × 3 = 18.84I hope this helps!
The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic.
The conic represented by the equation is alan
v because
Answer:
Circle - A=C
Step-by-step explanation:
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
Equation of a circleThe standard equation of a circle is expressed as [tex]x^2+y^2+2gx+2fy+C=0[/tex]Given the equation of the circle [tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0[/tex]
Rearrange the equation
[tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0\\ 3x^2 + 3y^2 + 6x +7y + 4 = 0[/tex]
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
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Question 4 of 10
Given below are lease terms at the local dealership. What is the total
depreciation fee for this car?
Terms:
• Length of lease: 24 months
• MSRP of the car: $17,500
.
Purchase value of the car after lease: $9900
Down payment: $2400
Monthly payment: $425
Security deposit: $375
Acquisition fee: $500
Answer:
216.67
Step-by-step explanation
i took the bullet.
what is the z score of -0.08
Answer:
.7881
Step-by-step explanation:
the product of the ages of two adults is 572. find their ages
Match the terms to their definitions.
Answer:
What terms?
Step-by-step explanation:
What is the value of x?
O 2 units
O 3 units
O 5 units
08 units
Answer:
The value of x is 5 units ⇒ C
Step-by-step explanation:
In the given figure
∵ Δ ABC is a right triangle at vertex B
∵ AC is its hypotenuse
∵ BD ⊥ AC
∴ (BD)² = AD × DC
∵ BD = 10 units
∵ AD = x units
∵ DC = 4x units
→ Substitute them in the rule above
∴ (10)² = x × 4x
∴ 100 = 4x²
→ Divide both sides by 4
∵ [tex]\frac{100}{4}[/tex] = [tex]\frac{4x^{2}}{4}[/tex]
∴ 25 = x²
→ Take √ for both sides
∴ 5 = x
∴ The value of x is 5 units
Find the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope
Answer:
Slope intercept equation would be: x - 3 = 0
Step-by-step explanation:
[tex]slope \: (m) = undefined = \frac{1}{0} \\ \\ \because \: line \: passes \: through \: the \: \\ point (3, \: - 1) = ( x_{1}, \: y_{1}) \\ \\ equation \: of \: line \: line \: in \: \\ point \: slope \: form \: is : \\ \\ y - y_{1} = m(x - x_{1}) \\ \\ y - ( - 1) = \frac{1}{0} (x - 3) \\ \\ y + 1 = \frac{1}{0} (x - 3)\\ \\ 0(y + 1) = (x - 3) \\ \\ 0 = x - 3 \\ \\ x = 3[/tex]
x=3 is the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope.
If a line has an undefined slope, it means the line is vertical.
A vertical line has the equation of the form x = c, where c is a constant representing the x-coordinate of any point on the line.
The line passes through the point (3, -1), so the x-coordinate of any point on the line is 3.
Therefore, the equation of the line is x = 3.
If the slope-intercept form of a line (y = mx + b), it's not possible for a vertical line because it doesn't have a slope.
The slope-intercept form assumes a non-vertical line.
Hence, the equation of the line passing through (3, -1) with an undefined slope is simply x = 3.
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3/4 of an inch rain fell in 1/2 hour
