Rewrite the equation 3r - 6 = 39 by factoring the side that contains the variable r. Pls help
Answer:
r=15
Step-by-step explanation:
you would add 6 to the right side of the equation which would make it 3r = 45. Then you would divide 45 by 3, equaling 15. So that ends up with r = 15.
HELP ASAPPPPPPPPPP 25 POINTSSSSSS
Answer:
(1). [tex]h(t)=-4(t-1)^2+36[/tex]
(2). 1 minute
Step-by-step explanation:
They want you to factorize the equation in such a way that the vertex appears as a number in the equation; and you do that by using a method called completing the squareHere is our equation: [tex]h(t)=-4t^2+8t+32[/tex]We factor it by completing the square: But first remember this:A quadratic equation has the general form [tex]f(x)=ax^2+bx+c[/tex] Where a and b are the numbers before x squared and x respectively, and c is the number without an x, and f(x) is the value dependent on xIn this case x is tSo the steps are as followsEquate the equation to zero: [tex]-4t^2+8t+32=0[/tex] Divide each term by the (a) of the equation in this case is it -4, and we get: [tex]t^2-2t-8=0[/tex] Then take the new (c) to the other side of the equation, in the case we add 8 to both sides to get: [tex]t^2-2t=8[/tex] Now the tricky part, you have to add to both sides of the equation the square of half of the coefficient of t or number before t, not t squared just t and you get: [tex]t^2-2t+(-1)^2=8+(1)^2[/tex] Now the left side is in the square form, or it just means when you factor the left side, you get it as the square of a certain single term, in this case we get: [tex](t-1)^2=8+1[/tex] When we simplify we get: [tex](t-1)^2=9[/tex] Now any equation in this form, will give you the vertex when you equate the term in parenthesis to zero, and simplify: [tex]t-1=0,t=1[/tex] [tex]t=1[/tex] is the value of the t or time at the vertex To write the equation again, multiply every term with the (a) you used to get: [tex]h(t)=-4(t-1)^2+36[/tex] , and this is the equation for #(1)Now here is why we needed to get the vertex; the vertex tells us at what point the height either reaches its maximum/highest level, or where it reaches its minimum/lowest level So since the time (t) at the vertex is 1, in order to find the height at this time, just plug it into the equation:[tex]h(1)=-4((1)-1)^2+36\\h(1)=-4(0)+36\\h(1)=36[/tex] So that's the height at the vertexNow it can either be the maximum/highest height or the minimum/lowest height, in order to know this we check as followsRemember the (a) we used to factor the equation? -4, if the (a) value of a quadratic function is less than 0, then it is a maximum equation, mean whatever vertex you get will be the point where the equation reaches its biggest value.So at a height of 36 meters, and a time of 1 minute, the craft reaches its highest point.The classrooms in Okahurst School District are painted every summer. Seven gallons of paint are needed to paint 3 classrooms. How many more gallons are needed to paint the 129 classrooms at North High School than the 48 classrooms at Edgewater Elementary? Assume the situation is proportional
Answer:
189 Gallons
Step-by-step explanation:
7 gallons for 3 classrooms, so 7/3 for 1 classroom
multiply 7/3 * 129 to get 301 gallons at North High School
multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary
301 - 112 = 189 gallons more at North High School than at Edgewater Elementary
Complete the table below.
Answer:
1 2
2 3
Step-by-step explanation:
what fraction has a numerator 8 and is equivalent to 1/2
4/8
8/16
8/12 or 8/9
Answer:
8/16
Step-by-step explanation:
(8÷8)=1 / (16÷8)=2 = 1/2
Jamal reads 5/8 page in 2/3 minutes. What is the unit rate?
Express 0.02 as a fraction, Stuck? Watch a video or use a hint.
Answer:
1/50
Step-by-step explanation:
Answer:
2/100 or 1/50
Step-by-step explanation:
0.02 shows that its in the hundredths place. You can simplify it to 1/50 which would give you the same result.
Who walks at a faster rate: Johnathan, who walks 60 feet in 10 seconds or Juan, who walks 42 in 6 seconds?
Answer:
Johnathan walks faster
Step-by-step explanation:
just divide
What is the value of x in the following equation?
4r +6
+ 3 = -6
-6
-3
Answer:
x = -6
Step-by-step explanation:
Solve for x:
(4 x + 6)/2 + 3 = -6
Hint: | Put the fractions in (4 x + 6)/2 + 3 over a common denominator.
Put each term in (4 x + 6)/2 + 3 over the common denominator 2: (4 x + 6)/2 + 3 = 6/2 + (4 x + 6)/2:
6/2 + (4 x + 6)/2 = -6
Hint: | Combine 6/2 + (4 x + 6)/2 into a single fraction.
6/2 + (4 x + 6)/2 = ((4 x + 6) + 6)/2:
(4 x + 6 + 6)/2 = -6
Hint: | Add the numbers in 4 x + 6 + 6 together.
Add like terms. 6 + 6 = 12:
(4 x + 12)/2 = -6
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 x + 12)/2 = -6 by 2:
(2 (4 x + 12))/2 = -6×2
Hint: | Cancel common terms in the numerator and denominator of (2 (4 x + 12))/2.
(2 (4 x + 12))/2 = 2/2×(4 x + 12) = 4 x + 12:
4 x + 12 = -6×2
Hint: | Multiply 2 and -6 together.
2 (-6) = -12:
4 x + 12 = -12
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
4 x + (12 - 12) = -12 - 12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
4 x = -12 - 12
Hint: | Evaluate -12 - 12.
-12 - 12 = -24:
4 x = -24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 4 x = -24 by 4:
(4 x)/4 = (-24)/4
Hint: | Any nonzero number divided by itself is one.
4/4 = 1:
x = (-24)/4
Hint: | Reduce (-24)/4 to lowest terms. Start by finding the GCD of -24 and 4.
The gcd of -24 and 4 is 4, so (-24)/4 = (4 (-6))/(4×1) = 4/4×-6 = -6:
Answer: x = -6
First person to answer gets brainliest
Answer:
thanks
Step-by-step explanation:
Answer: is there a question or a pic?
John the oldest child paid his siblings to do his chores if John pays his allowance equally to his brother and two sisters how much money will each of his siblings have recived in all? 5th grade plsssss awnser its a test
Answer: $10.50
Step-by-step explanation:
Here is the complete question:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. John, the oldest child, paid his siblings to do his chores. If John pays his allowance equally to his brother and two sisters, how much money will each of his siblings have received in all?
Amount distributed = $126
Number of children = 4
Each child gets = $126/4 = $31.5
If John pays his allowance equally to his brother and two sisters, the amount that each sibling will get will be:
= $31.5 / 3
= $10.50
Solve the systems using substitution.
Answer:
1. (-1,3)
2. (2,-5)
3. (6,4)
4. (5,-3)
5. (7,-4)
Step-by-step explanation:
hope this helps and also math .way answers any math problem. can u mark me as brainly
Please help ASAP!!!!!!
Eli was using a recipe for a large smoothie that required three and three–thirds bananas. Instead of making one smoothie, Eli decided to use the recipe to make three small smoothies. How many bananas will be required for each small smoothie? *
Answer:
three small smoothies require one and one-third bananas.
Step-by-step explanation:
Assuming that the three small smoothies are equal, and their sum equals the one large smoothie;
Number of bananas required for one large smoothie = three and three-third
three-thirds mean that out of three parts, three parts were selected. Therefore, three-thirds is the same thing as a whole or 1
∴ three and three-third [tex]= 3 + \frac{3}{3} = 3 + 1 = 4[/tex]
Therefore, the one large smoothie required 4 bananas.
Large smoothie = 4 bananas
three small smoothies [tex]= \frac{4}{3} = 1 \frac{1}{3}[/tex]
Hence, three small smoothies require one and one-third bananas.
I need help I really need help ahahahaha
Answer:
Step-by-step explanation:
-3
-2
1.2
pleas brainleast
Help plz:))) I’ll mark u brainliest
Answer:
x = 4
Step-by-step explanation:
( 31x + 6 ) + ( 12x + 2 ) = 180
31x + 12x + 6 + 2 = 180
43x + 8 = 180
43x + 8 -8 = 180 -8
43x = 172
43x/43 = 172/43
x = 4
Answer:
x=4
Step-by-step explanation:
31x+6+12x+2=180
43x+8=180
43x=172
x=4
Shayla wants to refinish the floors in her kitchen. Shayla predicts she will be able to cover the room with 75 square feet of tile flooring. Will shayla be able to cover the floor with 75 square feet of tile flooring?
Answer:
No
Step-by-step explanation:
Remember, she didn't take note of possible defects that may arise during actual construction, hence her prediction may be inaccurate.
Also, the 75 square feet mentioned is more likely based on approximations, and so it is best to think of possible deviation in the actual length of the room due to measurement error.
Walmart offered a30% discount off the original dresser. The amount of the discount is $12. What is the regular price of the dresser?
Answer:
$40
Step-by-step explanation:
Multiply 12 by 100 to get 1200 then divide by 30
4 gallons equals liters
Answer:
15.1416 liters
Step-by-step explanation:
I just looked at my table and it said how many liters then I measured it
Answer:
This is equal to 15.142 liters
can 72/1 be a unit of ratio
Answer:
yes
Step-by-step explanation:
say you have 72 girls for every boy then the ratio would be 72/1
Answer:
Yes it can!
Step-by-step explanation:
A unit ratio is a ratio that's been broken down all the way to 1. As long as it has a 1 (and just a single digit 1, not 11 or 21), it's a unit ratio.
Scissors wholesale price $3.25; $ Markup 40%. What is the Markup price and Retail sale price?
Answer:
Step-by-step explanation:
3.25 * 0.40 = 1.30
$3.25 + $1.30 = $4.55
The markup price is $4.55
Nancy is making accessories for the soccer team. She uses 877.76 inches of fabric on headbands for 30 players and 2 coaches. She also uses 263.70 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player? I am having trouble with this one.
Answer:
36. 22 inches
Step-by-step explanation:
Given that :
Head band fabric :
Total = 877.76 inches
Number of players = 30
Number of coaches = 2
Total number = (30 + 2) = 32
Head band Fabric per person :
877.76 / 32
= 27.43
Wristband fabric:
Total fabric used = 263.70
Number of players = 30
Wristband fabric per player :
263.70 / 30 = 8.79
Amount o fabric used on headband and Wristband for each player :
(27.43 + 8.79) = 36.22 inches of fabric per player
PLEAES HELP ME I SUCK AT MATH!!
Answer:
its 5
Step-by-step explanation:
Multiply 3.76 × 14.8
Answer:
55.648
Step-by-step explanation:
The easiest way is turning both of these numbers into whole numbers by moving the decimal point to the right twice for both numbers. Now our equation will be....
376*1480
Now, we can solve this.
the answer to that equation is 556480.
Since we moved the decimal point to the right before, we have to move it to the left the same amount. Since we moved both of the numbers decimal point to the right twice, we add 2+2 to get 4 which means we have to move the decimal point to the left 4 times.
Our final answer : 55.648
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
Answer:
55.648
Step-by-step explanation:
three shirts and 2 pairs of jeans cost 95$. one shirt and one pair of jeans cost 40$. write a system of equations for the scenario.
Answer:
3s+2j=95
s+j=40
Step-by-step explanation:
We need to create equations for both statements.
s=shirts j=jeans
(s & j can be replaced by any letter i just used s and j to avoid further confusion)
3s+2j=95
s+j=40
If you need me to solve it i can do that too but it seems you just need the equations
What is 2/3 divided by 4/5
What is 2/3 divided by 4/5
0.83333333333
Answer:
5/6
Step-by-step explanation:
4/5 should be flipped upside down and then multipled by 2/3.
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I PUT 100 POINTS
-8/5
Remember "rise over run." Rise means the vertical distance and run id the horizontal between the two points.
A cubed aquarium tank holds 1,000 m^3 of water. How tall is the aquarium?
Answer:
10m
Step-by-step explanation:
formula to find volume of a cube is v=a ³
if the volume of the cube is 1000, then 1000=a³ (a being the length of an edge of the cube)(the edges of a cube are all the same length)
cube root of 1000 is 10
The required height of the cubed aquarium tank is 10 meters.
As given that, A cubed aquarium tank holds 1,000 m³ of water, the height of the aquarium is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A cubed aquarium tank holds 1,000 m³ of water,
The volume of the cube = 1000
side ³ = 1000
side = ∛1000
side = 10
Thus, The required height of the cubed aquarium tank is 10 meters.
Learn more about Volume here:
https://brainly.com/question/1578538
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plz help will give brainliest
Answer:
1.275
Explanation:
The given equation is:
f(x) = 0.01(2)ˣ
We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.
We start by getting the y-values for each of the given x-values:
at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)
at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)
Now, we get the slope as follows:
slope =
Hope this helps :)
Answer:
1.275
Step-by-step explanation:
f(x)=0.01(2)×
distribute 2 and 10 to x
the answer is 1.275
Whats the domain???
Answer:
HERE IT IS...
Step-by-step explanation:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y, and is alternatively denoted as. Since a function is defined on its entire domain
Answer:
Very simple!
Step-by-step explanation:
The domain of a function is where the function is defined, for the values of x.
Long story short, see the function? Where the blue line passes over the x-vales is the domain. Where there is no blue line over the x-values does not belong to the domain.
Thus, the function is defined for [tex]-8\leq x\leq 8[/tex], or [tex][-8, 8][/tex].
Sorry about the bad explanation.
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