[tex]\huge\bold\green{Answer:-}[/tex]
Greatest common factor (GCF) of 10 and 40 is 10.
GCF(10,40) = 10
[tex]\huge\bold\red{Explanation:-}[/tex]
We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.
Prime Factorization of 10
Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:
10 = 2¹ × 5¹
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 2³× 5¹
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1, 2, 5
Factors of 40
List of positive integer factors of 40 that divides 10 without a remainder.
1, 2, 4, 5, 8, 10, 20
Greatest Common Factor
We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 40 is 10.
The Greatest Common Factor of 10 and 40 is 5.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
We have to find the greatest common factor of 10 and 40.
So factorizing each number
10 = 2 x 5
40 = 2 x 2 x 2 x 5
Here the common factor of 10 and 40 is
= 2 x 5
= 10
Thus, the Greatest Common Factor is 10.
Learn more about Greatest Common Factor here:
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what id the greatest common factor shared by 24 and 54
Answer:
6.
Step-by-step explanation:
n-4=20
What is the answer.?
Answer:
n=24
Step-by-step explanation:
add 4 to both sides
Answer:
n =24Step-by-step explanation:
[tex]n-4=20\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\n-4+4=20+4\\\\Simplify\\\\n = 24[/tex]
Solve:
x/4 - x/8 = 5
Answer:
x=40
Step-by-step explanation:
x/4 - x/8
LCM of 4,8=8
x/4x2/2 - x/8=5
2x/8 - x/8 =5
x/8=5
transpose
x=5x8
x=40
hope this helps
please mark as brainliest
The table represents a linear function.
[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------
What is the slope of the function?
–6
–4
4
6
Answer: -6
See attached picture
For a school art project, Kali has 604 square tiles measuring 1 inch on each side. She plans to use the tiles to completely cover the box in the shape of a rectangular prism shown below. (FORMULA: Surface Area = 2lw + 2lh + 2wh) Which statement about Kali's tiles is true? Group of answer choices Kali needs 476 more tiles to completely cover the box. Kali needs 104 more tiles to completely cover the box. Kali will have 534 tiles left after completely covering the box. Kali will have 250 tiles left after comp
Answer:
Kali needs 104 more tiles to completely cover the box.
Step-by-step explanation:
Length of box = 20 in
Breadth of box = 6 in
Height of box= 9 in
Total surface area of box = 2lw + 2lh + 2wh
Total surface area of box = 2(20)(6) + 2(20)(9) + 2(6)(9)
Total surface area of box = 708 sq. in.
Side of tile = 1 in
Area of 1 tile = [tex]Side^2 = 1^2 = 1 sq. in[/tex]
Area of 604 tiles = 604 sq. in.
Area remain uncovered = 708 - 604 = 104 sq.in.
So, Kali needs 104 more tiles to completely cover the box.
find the equation of the line shown
how do you do this ?
Answer:
y=1/2x+0.5
Step-by-step explanation:
The slope is 1/2, which you can see by looking at the change of y/x. The y intercept is 0.5, which can be seen on the y axis.
Which points lie on the line y= -1/2x +4?
A) (-2,5) and (2,3)
B) (0,6) and (1,4)
C) (-2,5) and (4,3)
D) (-2,3) and (0,2)
Which answer choice is the equation of a line that passes through the points (1.-3) and (-1,3)? A) y = -1/3
B) -3y = x + 1
C) y = 3x
4) 3x + y = 0
Question #1
first, you need to find the slope. Use the formula: m=(y₂-y₁)/(X₂-X₁). Plug in x and y values. once you have found the slope, use point-slope form;
(y-y₁)=m(x-x₁). Again, plug in x and y values. Simplify the equation. Do that with the coordinate pairs, to see which one matches y=-1/2x+4. The answer though is A, (-2,5) and (2,3).
Question #2
Do the same thing, find the slope using the formula, and then use point-slope form. After that, find the matching equation and that's the answer. I am confused though because the right equation would be [tex]y=-3x[/tex], but that's not one of the answers.
Corresponding angles?
Helo im trying to pass
Answer:
Corresponding angles are
1 and 3
or 5 and 7
or 2 and 4
or 6 and 8
Step-by-step explanation:
⚠️⚠️ What’s the coordinate numbers for A and B ⚠️⚠️
PLEASEE I WANNA FINISH
Answer:
A (-2,-3) B (3,-3)
Step-by-step explanation:
I took math in high school
Answer:
The coordinate numbers are A (-2,-3) B(3,-3)
What are both of these shaded as?
Answer:
1 whole and 15/100= 1.15
Step-by-step explanation:
The first box is 1 whole, in total there are 100 squares. All u need to do is count the number of squares
please help!! 30 pts! thanks!
Answer:
Eu não sei cara, sinto muito, cara, não me denuncie ou você é apenas um idiota metido
Step-by-step explanation:
Eu não sei cara, sinto muito, cara, não me denuncie ou você é apenas um idiota metido
Ryan and his brother are at a carnival. They separate from each other at the ferris wheel at 1:00 PM, and they agree that they will each meet back at the ferris wheel from time to time to see whether the other is ready to leave. Ryan checks the ferris wheel every 15 minutes. His brother checks in every 24 minutes. At what time will they meet at the ferris wheel again. (Hint: Don't forget you're looking for a time)
Answer:
3:00pmStep-by-step explanation:
The idea hear is to find the least common multiples of 15 and 24
Given that they separated at exactly 1:00pm
the multiples are
15= 15,30,45,60,75,90,105,120
24= 24, 48,72,96,120
the multiples common is 120
Therefore they will meet in 120minute, which is 2 hours time \
hence the time will be 3:00pm
PLEASE HELP!! Brainliest to first answer
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation() = −5^2 + 20 + 4. Where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Round to the nearest tenth if necessary. Show all of your reasoning used with this algebraic method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method. Round to the nearest tenth if necessary.
Answer:
The arrow will take 4.19 seconds to hit the ground
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Step-by-step explanation:
The quadratic function is f(t) = -5t² + 20t + 4, where
f(t) is the height in feet
t is the time in seconds
If the arrow hit the ground that means h(t) = 0
→ Substitute h(t) by 0 and use the quadratic formula to find t
∵ h(t) = 0
∴ 0 = -5t² + 20t + 4
→ Switch the two sides
∴ -5t² + 20t + 4 = 0
→ Multiply all terms by -1 to make the coefficient of t² positive
∴ 5t² - 20t - 4 = 0
→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where
a is the coefficient of t²b is the coefficient of tc is the numerical term∵ a = 5, b = -20, c = -4
∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]
∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]
→ Find the values of t in decimal
∴ t = 4.19 seconds OR t = -0.19 ⇒ refused because it is negative
∴ The arrow will take 4.19 seconds to hit the ground
The graph of this quadratic function is a parabola with maximum vertex (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = f(h)To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur
∵ f(t) = -5t² + 20t + 4
∵ a = -5 and b = 20
∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]
∴ The time for the maximum height is 2 seconds
→ Now use it to find k
∵ k = f(h)
∴ k = f(2)
∵ f(2) = -5(2)²+ 20(2) + 4
∴ f(2) = -5(4) + 40 + 4
∴ f(2) = -20 + 40 + 4
∴ f(2) = 24
∴ k = 24
∴ The maximum height is 24 feet
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Write an equation to represent the following statement.
j divided by 9 is 5.
Solve for j.
j=
Answer:
J= 45
Step-by-step explanation:
You have to multiply 5 by 9 to get what J is.
Solve the system of equations by substitution. x + y = 27 y = 8x
Answer: x = 0, y = 0
Step-by-step explanation:
x + y = 27y = 8x
Consider the first equation. Subtract 27y from both sides.
x + y = -27y = 0
Combine y and -27y to get -26y
x - 26x = 0
Consider the second equation. Subtract 8x from both sides.
27y - 8x = 0
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.
x - 26y = 0, -8x + 27y = 0
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x - 26y = 0
Add 26y to both sides of the equation.
x = 26y
Substitute 26y for x in the order equation,
-8x + 27y = 0.
-8 x 26y + 27y = 0
Multiply -8 times 26y
-208y + 27y = 0
Add -208y to 27y
-181y = 0
Divide both sides by -181.
y = 0
Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.
x = 0
Evaluate the function for f(-9 if (x) = 3/5 x + 8
A. 67/5
B. -67/5
C. -13/5
D. 13/5
Answer:
D
Step-by-step explanation:
f(-9) = 3/5(-9) + 8 = 13/5
Determine the given equation is a linear equation write yes or no. If yes, write the equation in standard form.
7n - 8m = 4 - 2m.
Use Standard form
Answer:
The equation is linear. Standard form:
7n - 6m - 4 =0
Step-by-step explanation:
Linear Equations
The linear equations are identified because all terms form a polynomial of degree 1 or zero (no variable).
The standard form of a linear equation is:
ax+by+cz+d=0
where x, y, z are the variables, and a,b,c are constants.
The equation:
7n - 8m = 4 - 2m
Is linear, both variables have an exponent of 1 and there is an independent term. Moving all terms to the left side:
7n - 8m - 4 + 2m =0
Simplifying:
7n - 6m - 4 =0
What is the slope of the line? (Picture)
Answer:
-1/3
Step-by-step explanation:
its rise over run.
u rise 2, and run 6 and its a negative slope
when you simplify its then -1/3
Answer:
[tex]m = -\frac{1}{3}[/tex]
Step-by-step explanation:
Using the slope formula:
y2 – y1
m = --------------
x2 – x1
Plug in any two points that the line passes through:
In this case, (2, 0) and (–1, 1).
1 – 0
m = --------------
–1 – 2
1
m = --------------
–3
What is P in 3 +
p=8
Btw thanks for the help ❤️
Answer:
5
Step-by-step explanation:
can i get some help plz its hared
3y + 8 = I 7
Also can you show me the written steps?
(25,-14) (-3,7)
determine the slope
which polynomial function has zeros when x= -2, 3/4, 5
Answer: f(x)=(x+2)(4x-3)(x-5)
Step-by-step explanation:
Alg2.2.5 practice 2
Polynomial function has zeros when x=[tex]-2, \frac{3}{4} , 5[/tex] is
[tex]4x^3-15x^2-31x+30[/tex]
Given :
polynomial function has zeros when x= -2, 3/4, 5
Lets write the zeros in factor form
If 'a' is a zero , then factor is (x-a)
The given zeros are [tex]-2, \frac{3}{4} , 5[/tex]
lets write all the three zeros in factor form
[tex](x-(-2)) (x-\frac{3}{4})(x-5)\\(x+2)(4x-3)(x-5)[/tex]
Now multiply the parenthesis to get the polynomial
[tex]\left(x+2\right)\left(4x-3\right)\left(x-5\right)\\\left(4x^2+5x-6\right)\left(x-5\right)\\4x^2x+4x^2\left(-5\right)+5xx+5x\left(-5\right)-6x-6\left(-5\right)\\combine \; like \; terms\\4x^3-15x^2-31x+30[/tex]
polynomial function has zeros when x= -2, 3/4, 5 is
[tex]4x^3-15x^2-31x+30[/tex]
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Someone pls help me!!! (7th grade math work) will mark as Brainliest
SHOW WORK PLSSSSKSKSKS
Answer:
J. 42 = x 57 100Step-by-step explanation:
last year won 57 games
this year won 15 games
the difference is 57 - 15 = 42,
this means it drops 42 / 57 = 0.73 (100%) ≈ 73%
therefore, the percentage decrease from the given choices is: J
42 = x
57 100
I will make you brainlliest and give you some points please help me i need help.
Thanks:)!!
Simplify -9(10 + 2).
-88
-72
-92
-108
Answer:
-108 is the correct answer
Step-by-step explanation:
=-9(10+2)
=-90+(-18)
=-90-18
= -108
Answer:
It's D or -108 (✿◠‿◠)
The model of a rugby field is shown. Sarah ran across the length of
the field 5 times for conditioning practice. How far did Sarah run in all?
27 cm
14 cm
Scale
1 cm: 7 m
945 meters
490 meters
378 meters
921 meters
Plzzzzzzzzzz help me
Answer:
27x7=189.
189x5= ***945cm***
Help me solve this problem please
Option C, a = (w - 4b )/7 is the correct answer
w = 7a + 4b
7a = w - 4b
a = (w- 4b )/7
Incentive programs offered by 4 different retail stores are listed below.
Store 1: 25% off your total purchase
Store 2: $10.00 off every $50.00 you spend
Store 3: Mail in rebate of $40.00 off your total purchase
Store 4: 10% off your total purchase
Which store offers the best deal if you are purchasing $145.00 in merchandise?
Answer:
Store three with $105.00
Step-by-step explanation:
which equation matches the graph
A.y=4/3x+6
B.y=3/4x+6
C.4y-3x=12
D.3x-4y=12
Answer:
B. y=3/4x+6
Step-by-step explanation:
tttttttttttttt
Answer: B
Step-by-step explanation: the y-intercept is always the b in the equation y=mx+b. in this case it’s 6. Then you look at the rise and the run. its 3/4 because you go up 3 units, and to the right 4 units, to get to the next coordinate point.
For a school fund-raiser, students sold T-shirts with the school logo for $14. PLEASE HELP!
They sold sweatshirts with the school logo for $20.
They sold 233 pieces of clothing and raised $3,748.
How many of each type of shirt did they sell at the fund-raiser?
Let x = the number of T-shirts sold.
Let y = the number of sweatshirts sold.
Answer:
The 3 problem
Step-by-step explanation:
Answer:
The answer is C) x+y = 233, 14x + 20y = 3748
Step-by-step explanation:
x(number of t-shirts sold) + y(number of sweatshirts sold) = 233 (total number of pieces of clothing sold)
14x (14 is the cost of each t-shirt and since x = number of t-shirts sold then it is 14x or 14 multiplied by number of t-shirts sold) + 20y (20 is the cost of each sweatshirt and since y = number of sweatshirts sold then it is 20y or 20 multiplied by number of sweatshirts sold) = 3748 (total of money raised)