Find the GCF (Greatest Common Factor) of both numbers. It is 3.
Divide both numbers by the GCF.
The simplest form is 1/3.
Answer:
[tex]\boxed{\bold{\frac{1}{3}}}[/tex]
Step-by-step explanation:
Simplify [tex]\bold{\frac{3}{9} }[/tex]
Find a number that goes into 3 and 9 evenly
Number: 3
Divide to simplify
3 ÷ 3 = 1
9 ÷ 3 = 3
Rewrite fraction
[tex]\bold{\frac{1}{3}}[/tex]
Regards,
Mordancy
{System: I am having a bit of trouble calculating this. Will you help me out? Thank you!}
i’m struggling with number 55 every time ive tried i don’t end up with the right answer
Answer:
X=2
Step-by-step explanation:
which value of x is in the solution set of the following inequality -3×+5>17
Answer:
x < -4
Step-by-step explanation:
To solve the inequality, use inverse operations.
-3x + 5 > 17
-3x > 17 - 5 Subtract 5 from both sides.
-3x > 12 Divide both sides by -3.
x < -4 Flip the inequality sign since you divided by a negative.
identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9
Answer:
center:(4,-2)
Radius: 3 units
Step-by-step explanation:
The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.
The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].
We compare to the standard equation of the circle to get;
[tex]x-h=x-4[/tex]
[tex]\Rightarrow -h=-4[/tex]
[tex]\Rightarrow h=4[/tex]
and
[tex]y-k=y+2[/tex]
[tex]\Rightarrow -k=2[/tex]
[tex]\Rightarrow k=-2[/tex]
Hence the center of the circle is (4,-2).
Also, we have [tex]r^2=9[/tex]
Therefore [tex]r=\sqrt{9}[/tex]
[tex]r=3[/tex] units.
Answer:
Center at (4,-2); radius: 3
Step-by-step explanation:
Rewrite the quadratic function in standard form and give the vertex f(x)=3x^2-6x-9
Answer:
y=3(x-1)^2-12
Step-by-step explanation:
If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n ≥ 8
Answer:
Step-by-step explanation:
"the greatest value of n is 8" is signified by n ≤ 8.
This is a set, and also an inequality.
The first three steps of completing the square to solve the quadratic equation x2 +4x -6 0, are shown below. Step 1: x2 +4x 6 Step 2: x2 +4x +4 6+4 Step 3: (x +2)2 10 What are the next 3 steps?
Answer:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Step-by-step explanation:
Step 1: x^2 +4x = 6
Step 2: x^2 +4x +4 = 6+4
Step 3: (x +2)^2 = 10
The next 3 steps are:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Hope this will helpful.
Thank you.
The solution of the given quadratic equation is,
x = 1.16 or -2+12i
The given expression is
x² +4x - 6 = 0,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Then, after comparison,
a = 1, b = 4 and c = -6
Therefore the given equation is an quadratic equation,
We can write it apply quadrature formula:
x = (-b ± √(b²-4ac))/2a
= (-4 ± √(16+24))/2
= 1.16 or -2+12i
Hence,
x = 1.16 or -2+12i
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Find the length of the side of a square with an area of 49.
A. 49
B. 7
C. 25
D. 2,401
7 is the answer
Area =length *breadth
Area =length *length
Area=49=x *x
[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]
Solve for x. 3x+1=7 What is the root? If there is no root, choose none.
12
16
16 2/3
none
I think the root of "3x + 1 = 7" is 2...
Answer:
The root of the equation is x=2.
Step-by-step explanation:
Given : Equation [tex]3x+1=7[/tex]
To find : Solve for x?
Solution :
Step 1 - Write the equation
[tex]3x+1=7[/tex]
Step 2 - Subtract 1 both side,
[tex]3x+1-1=7-1[/tex]
[tex]3x=6[/tex]
Step 3 - Divide the equation by 3,
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
Therefore, The root of the equation is x=2.
Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?
52 divided by 4 then you’ll get 13
A jar contains 2 sugar cookies, 5 peanut butter cookies, and 3 chocolate chip cookies.What is the probability of randomly choosing a sugar cookie, not replacing it, and then choosing a peanut butter cookie?
You would have 2/10 chance of choosing the sugar cookie then after you chosen it 5/9 chance of picking up a peanut butter cookie. I hope this helps
Answer:
1/9
Step-by-step explanation:
The total number of cookies is
2 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 10
We want to take a sugar cookie
P(sugar cookie) = # sugar cookie/total cookies
= 2/10 = 1/5
Now we eat the cookie (not replacing it) so there are only 9 cookies
1 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 9
Now we want a peanut butter cookie
P(peanut butter cookie) = # peanut butter cookie/total cookies
= 5/9
To get the probability of both events happening, multiply them together
P( sugar, peanut) = 1/5 * 5/9
= 1/9
Factor & Finding Zeros
x^{2} +12x+35=0
Answer:
x = - 7, x = - 5
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)
The factors are + 7 and + 5, since
7 × 5 = 35 and 7 + 5 = 12, hence
x² + 12x + 35 = 0 ← in standard form
(x + 7)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 5 = 0 ⇒ x = - 5
What is the volume of the pyramid in cubic inches?
48 and 81 basically you just have to multiply
Answer:
144 cubic inches
Step-by-step explanation:
We are given a diagram of a pyramid with length = 8 inches, height = 9 inches and width = 6 inches.
We are to find the volume of this pyramid.
We know that the formula of volume of a pyramid is given by:
[tex] \frac { l \times w \times h } { 3 } [/tex]
Substituting the given values in the above formula to get:
Volume of pyramid = [tex] \frac { 8 \times 6 \times 9 } { 3 } [/tex] [tex]=\frac{432}{3}[/tex] = 144 cubic inches
if 9450 is 16%, how much is 100%
Answer:
59062.50
Step-by-step explanation:
Is means equals
9450 = 16% of a number
9450 = .16 N
divide by .16
9450/.16 = .16N/.16
59062.50 = N
The number is 59062.50
We want 100% of the number which is all of it
59062.50
Brenda walk the dogs after school she is planning to increase the rate that she charges by 20% in January when does current rate for walking a dog is $4.50 what will be the new rate in dollars after the 20% increase? Plz show work
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40
HELP PLZ (30 POINTS)
Answer: I think 1 or 2
Answer:
4: 3 and 2
5: 1 and 4
What is the factored form of x2 - 12x - 45?
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
Find the volume of the solid figure 3’width 5’length and 6’height
A:90 cu. ft
B:96 cu. ft
C:126 cu. ft
Volume=length×width×height
=5×3×6
=90 cu.ft
Answer:
A. 90 cu.ftStep-by-step explanation:
The formula of a volume of a rectangular solid (cuboid):
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=5\ ft,\ w=3\ ft,\ h=6\ ft[/tex]
Substitute:
[tex]V=(5)(3)(6)=90\ ft^3[/tex]
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C
(-7,2), (-8,-9)
Answer:
11x - y = -79Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the points (-7, 2) and (-8, -9). Substitute:
[tex]m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11[/tex]
[tex]y-2=11(x-(-7))\\\\y-2=11(x+7)[/tex]
Convert to the standard form:
[tex]y-2=11(x+7)[/tex] use the distributive property a(b + c) = ab + ac
[tex]y-2=11x+77[/tex] add 2 to both sides
[tex]y=11x+79[/tex] subtract 11x from both sides
[tex]-11x+y=79[/tex] change the signs
[tex]11x-y=-79[/tex]
The square pyramid has a base area of 900 square meters and a height of 40 meters. Find the volume.
Answer:
12000 m³
Step-by-step explanation:
The volume (V) of a pyramid is calculated using the formula
V = [tex]\frac{1}{3}[/tex] × area of base × height, hence
V = [tex]\frac{1}{3}[/tex] × 900 × 40 = 300 × 40 = 12000 m³
Answer:
12000 no problem
Step-by-step explanation:
the number that is 3 times the sum 5 and 7 i wrote 3 x 5 + 7 explain why i cannot use this expression to find the number
Answer:
3X(5+7)
Step-by-step explanation:
Because correctly is of this way:
3X(5+7)
and not so:
(3X5) + 7
Best regards
➷ You have written it the incorrect way.
Following the rules of PEMDAS, the multiplication would be carried out before the addition. This is not what is wanted
The question would want 3 times the SUM of 5 and 7.
To make sure you get the correct answer, you would have to write the expression slightly different
The correct way would be:
3(5 + 7)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
I REALLY NEED HELP! PLEASE HELP ME!
64−(3y+8y+y)÷40=37
8,000÷(28x+4)−15=25
Answer:
y = -118 and x = 7
Step-by-step explanation:
I've attached a picture with my work.
Detailed steps on solving equations with variables y and x, including simplification and solving for the unknowns.
Solving the equation 64−(3y+8y+y)÷40=37:
Combine like terms: 64 - (12y) ÷ 40 = 37Simplify: 64 - 0.3y = 37Solve for y: y = (64 - 37) / 0.3 = 90Solving the equation 8,000÷(28x+4)−15 = 25:
Add 15 to both sides: 8,000 ÷ (28x + 4) = 40Multiply both sides by (28x + 4): 8,000 = 40(28x + 4)Solve for x: x = (8,000 - 160) / 40(28) = 6find the area of a rectangle whose length is 5 centimeters and width is 3 centimeters
your answer is 15 centimeters
Moving at its top speed a sloth would take 20 hours to go 3 miles on land. What’s that in miles per hour
Answer:
.15 mph
Step-by-step explanation:
3 miles/ 20 hours or 3/20
Answer:
6 hours and 42 minutes (402 minutes)
Step-by-step explanation:
20 ÷ 3 = 6.7 hours
6.7 hours = 6 hours and 42 mins
To check if our answer is correct:
Do the inverse
6. 7 hours x 3 = 20.1
Round it to nearest whole number, 20
Show that sin (x + pi) = -sin x.
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
[tex]sin(A + B) = sin A cos B + cos A sin B[/tex]
In this problem we have
[tex]sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)[/tex]
Remember that
[tex]sin(\pi) = 0[/tex]
[tex]cos(\pi) = -1[/tex]
substitute
[tex]sin(x + \pi) = sin(x)(-1) + cos(x)(0)[/tex]
[tex]sin(x + \pi) = -sin(x)[/tex]
Final answer:
To prove that sin (x + π) = -sin x, the trigonometric identity for the sine of a sum is used, and by considering the specific values for cos π and sin π, the identity simplifies to the required expression.
Explanation:
To show that sin (x + π) = -sin x, we can use the trigonometric identity for the sine of a sum:
sin (α + β) = sin α cos β + cos α sin β
Applying this identity to sin (x + π):
sin (x + π) = sin x cos π + cos x sin π
Since cos π = -1 and sin π = 0, we substitute these values:
sin (x + π) = sin x (−1) + cos x (0)
sin (x + π) = −sin x + 0
Hence, sin (x + π) = −sin x, demonstrating the original statement.
Gabriella has $300 in her checking account and $125 in her savings account if Gabriella transferred enough money from my checking account to her savings account to double the savings account balance what is her new checking account balance
Answer:
Step-by-step explanation:
$300-$125=$175
Order the numbers from least to greatest.
* The square root of 1/64
*1/4
*0.2 repeating
From least to greatest, the numbers are
Answer:
Step-by-step explanation:
The sqrt of 1/64 is 1/8, or 0.125.
1/4 is equivalent to 0.25.
0.2 repeating is 0.222222222222 ...
Least: 0.125
Middle: 0.25
Greatest: 0.222222222222 ...
The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
Explanation:This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
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I would like to know the result of 3^3
Answer:
[tex]3^{3}[/tex] = 27.
Step-by-step explanation:
3 to the third power ( [tex]3^{3}[/tex] ) is the same as :
3 x 3 x 3 which would equal :
3 x 3 = 9 x 3 = 27.
Hope this helps,
Davinia.
27
3 times.3 times 3
9 times 3
27
Which is the value of y in the following system? y=3x-5 6x+3y=15
Answer:
The value of y in the solution of the system is [tex]y=1[/tex]
Step-by-step explanation:
we have
[tex]y=3x-5[/tex] -----> equation A
[tex]6x+3y=15[/tex] -----> equation B
substitute equation A in equation B
[tex]6x+3(3x-5)=15[/tex]
[tex]6x+9x-15=15[/tex]
[tex]15x=15+15[/tex]
[tex]15x=30[/tex]
[tex]x=2[/tex]
Find the value of y
[tex]y=3(2)-5=1[/tex]
Find the surface area of the rectangular prism
Answer:
S.A. = 328Step-by-step explanation:
The formula of a surface area of a rectangular prism l × w × h:
[tex]S.A.=2(lw+ih+wh)[/tex]
We have l = 5.5, w = 5 and h = 13. Substitute:
[tex]S.A.=2(5.5\cdot5+5.5\cdot13+5\cdot13)\\\\S.A.=2(27.5+71.5+65)\\\\S.A.=2(164)\\\\S.A.=328[/tex]