Answer:
Step-by-step explanation:
Given that
3+2(2p+4t)
Let open the bracket first
3+ 2×2p + 2×4t
3+4p+8t
This is the equivalent of the expression.
The equivalent expression for 3+2(2p+4t) is given by performing the operations according to the mathematical rules of order of operations. First, apply the distributive property to get 4p + 8t. Then, the expression become 3 + 4p + 8t.
Explanation:The student is looking to simplify and find the equivalent mathematical expression for: 3 + 2(2p + 4t).
First, you should apply the distributive property of operations, which means you multiply the number outside the parenthesis with each term inside the parenthesis. So, 2(2p + 4t) becomes 4p + 8t.
Next, add the 3 to the simplified expression 4p + 8t. The final equivalent expression will be 3 + 4p + 8t.
Learn more about Equivalent Expression here:https://brainly.com/question/28170201
#SPJ3
ANSWER THEM ALL CORRECTLY PLEASE! 20 POINTS!
Kellie and her sister Ashley are training for a race. Kellie ran 8 miles in 72 minutes. Ashley ran 12 miles in 102 minutes.
(a) What is Kellie’s minute-per-mile pace?
(b) How far did Ashley run in 34 minutes?
(c) What was the difference in Kellie and Ashley’s times after they ran 4 miles?
A. Kellie's minute-per-mile pace 9 minutes per mile.
To find this, divide her time (72 minutes) by the number of miles she went (8). 72 divided by 8 is 9 minutes per mile.
B. Ashley ran 4 miles in 34 minutes. First, divide Ashley's time (102 minutes) by the number of miles she went (12). 102 divided by 12 is 8.5 minutes per mile. Then divide 34 by 8.5 to get how far she went in that time. Thus meaning 4 miles.
C. The difference in time between their 4 miles is 2 minutes. Kellie took 36 minutes to go 4 mile (4 miles times 9 minutes is 36 minutes) and Ashley took 34 minutes to go 4 miles (as stated in part B.) Lastly, subtract 34 from 36 to get the 2 minute difference.
I hope this helps!
A 20 packet box of detergent sells for $5.49. What is the unit rate?
Answer:
if rounded to 5.50 it would be: .27¢ for 1 packet
Step-by-step explanation:
5.4 divided by 20 is .27 and 5.5 divided by 20 is .275 but .28 multiplied by 20 is over 5.50 which means it would be .27 cents for 1 packet :)
need help asap!!!!!
Answer:
The correct answer is A.
8a+ 12a - 75 - 95 – 11a
How to combine like terms
Answer:
9a -170
Step-by-step explanation:
Answer:
9a-170
Step-by-step explanation:
8a+ 12a-11a= 9a
-75-95= -170
9a-170
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)
∘
and m\angle B=(5x+2)^{\circ}∠B=(5x+2)
∘
, then find the measure of \angle A∠A.
[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]
Final answer:
The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.
Explanation:
If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:
3x + 18 + 5x + 2 = 180.
Simplify and solve the equation:
8x + 20 = 180
8x = 160
x = 20
Now, substitute x back into the expression for m∠A:
m∠A = 3(20) + 18
m∠A = 60 + 18
m∠A = 78°
So, the measure of ∠A is 78°.
3. What is the value of the x in the solution to the system of linear equations below?
y = 8x − 8
3x + 2y = −16
A x = 0
B x = 2
C x = −5
D x = −8
Answer:
B x = 2
Step-by-step explanation:
Step 1: Add -2y to both sides.
−75x+2y+−2y=−16+−2y
−75x=−2y−16
Step 2: Divide both sides by -75.
−75x /−75 = −2y−16 −/75
x= 2 /75 y+ 16 /75
Answer:
x= 2 /75 y+ 16 /75
Answer:
x=0
Step-by-step explanation:
3x+2(8x-8)=-16 plug the 1st y for the 2nd y
----------------------------------------------
3x+16x-16=-16 distribute the 2
--------------------------------------------
19x -16 = -16 combine like terms
+16 +16 add 16 both sides
--------------------------------------------
19x=0
19 19 divide 19 both sides
x=0
Hope This Helps
Evaluate Žy - 3+ when y = 4 and z=3
Answer:
9
Step-by-step explanation:
if
Žy - 3 when y = 4 and z=3
then,
4*3-3
=9
In rhombus, WY= 18 cm and XV=8 cm.
Find the area of the rhombus.
Be sure to include the correct unit in your answer.
The area of the rhombus is [tex]72 \ cm^2[/tex]
Explanation:
It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]
The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.
The area of the rhombus can be determined using the formula,
[tex]A=\frac{p q}{2}[/tex]
where p and q are diagonals of the rhombus.
Substituting the values in the formula, we have,
[tex]A=\frac{18\times 8}{2}[/tex]
Multiplying the numerator, we get,
[tex]A=\frac{144}{2}[/tex]
Dividing by 2, we have,
[tex]A=72 \ cm^2[/tex]
Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]
Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2, –2).
Answer:
the point is 3 i think
Step-by-step explanation:
Answer:
B y=-1/2x -1
Step-by-step explanation:
What does the transformation from f to g represent?
F(x)= √x and g(x)=6 √x
Answer:
You have to have x to answer this question
Step-by-step explanation:
A shipping company charges $6 to skip a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
Step-by-step explanation:
A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.
lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.
the shipping company charges $6 for the first pound.
Up to now the charge is y=6
After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.
So, the total charge will be, y=6+2(x-1)
weight is always starting from zero as there is no negative weight.so X>0
so the equation is 6(2x-1), where X is more than 0
Answer:
Its A on edge, f(x)=6+2[x-1], the brackets are rounding up
Use △ABC, in which AB=37, AC=35, and BC=12, to answer the question.
what is the ratio for tan B?
(NEED HELP ASAP! HAVE TO FINISH TODAY!!!
Sorry If I am Annoying PLEASE DONT TAKE THIS DOWN I DONT WANNA FAIL D:)
Answer:
tan B = [tex]\frac{35}{12}[/tex]
Step-by-step explanation:
tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{35}{12}[/tex]
PLEASE HELP ASAP!! will give brainlist :)
The sequence is geometric because it decreases by a factor of 1/27.
What happens in am arithmetic and geometric sequeceIn an arithmetic sequence, the terms change by a constant difference, while in a geometric sequence, the terms change by a constant ratio. In this case, the terms of the sequence are decreasing, and the ratio between consecutive terms is 1/27, which is a constant factor.
For example, if the sequence were arithmetic, you would see a consistent subtraction of a fixed number from one term to the next.
Therefore, the sequence is geometric because it follows the pattern of a geometric progression.
Read more on geometric sequece https://brainly.com/question/24643676
#SPJ1
y=-2x²
how do I find the vertex and other points to graph
A wise man once said “400 reduced by 3 times my age is 244.” How old is the wise man?
Answer:
52 years old
Step-by-step explanation:
let this mans age be a
400-3a=244
400=244+3a
400-244=3a
156=3a
a=52
Answer:
52 years old
Step-by-step explanation:
Let x= man's age
400-3x=244
-3x=-156
x=52
The man is 52 years old.
The park modeled consists of a rectangular area and 2 semicircular areas the area of the rectangle part of the park is 60000
Answer:
1,228 yards
Step-by-step explanation:
I think the photo below is your full question
And here is my answer:
Area of a rectangle = bh
60,000 = 300h
<=> h = 200
and the Circumference + 300 + 300 +πd + 300 + 300 + 3.14 x 200 + 300 + 300 = 1,228 yards
(−0.9−2.5−(−8.2))·(−0.625)
Answer:
What is the question?
Step-by-step explanation:
There's no definitive question being asked.
Answer:
-3
Step-by-step explanation:
...
A valume of a graduated cylinder is 490 cubic cm.
The radius of the base is 7 cm. What is the height??
Please help me
Answer:
The height is 3.183 cm.
Step-by-step explanation:
The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by
[tex]V = \pi r^2h[/tex]
Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:
[tex]h= \dfrac{V}{\pi r^2 }.[/tex]
For our graduated cylinder,
[tex]V = 490cm^3[/tex]
[tex]r = 7cm[/tex];
therefore,
[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]
[tex]\boxed{h = 3.183\:cm}[/tex]
Thus, the height of the graduated cylinder is 3.183 cm.
write a real word problem that can be represented by the equation ( 12 + 14 ) x h / 2 = 52. Then solve the problem.
The area of a trapezoid is given by:
[tex]A=\frac{(B_{1}+B_{2})h}{2} \\ \\ \\ A;Area \\ \\ B_{1}:First \ base \\ \\ B_{2}=Second \ base \\ \\ h:Heigth[/tex]
So given the equation:
[tex]\frac{( 12 + 14 )h}{2} = 52[/tex]
We can write a real problem as:
The bases of a trapezoid are [tex]12cm \ and \ 14cm[/tex] and the area of it is [tex]52cm^2[/tex]. What is the height of the trapezoid?
Solving:
[tex]\frac{( 12 + 14 )h}{2} = 52 \\ \\ 26h=104 \\ \\ h=\frac{104}{26} \\ \\ h=4cm[/tex]
Finally, the height of the trapezoid is 4cm
What is the value of the third quartile of the data set represented by this box plot?
A. 19
B. 21
C. 26
D. 29
Answer:
answer is 29
Step-by-step explanation:
you brought the meat Saturday's cookout. A package of hot dogs cost $1.60 and a package of hamburger cost $5. you bought a total 8 packages of meat and you spent $23. how many packages of hamburger meat did you buy?
Answer: 4 packages of hamburger meat.
Solve the equation. Explain how you found your answer.
8y + 2y = 2y + 40
Answer:
y = 5
Step-by-step explanation:
Subtract 2y from either side. It'll cancel out both of them. Then the equation is 8y = 40.
Divide both sides by 8 and you get y=5
Pretty sure that's right. I have a dad who has a math degree so I think it would be right because he helps me every time.
Step-by-step explanation:
As shown first you combine like terms then you subtract 2y from both sides to get 40 by it self then you divide 8 by 40 to get y by itself hope this helps this answer is 100% correct and i was glad to help please give brainliest!
[tex]8y+2y=2y+40\\10y=2y+40\\ -2y -2y\\8y=40\\y=5[/tex]
Evaluate 4+2(7) help me
Answer:
18
Step-by-step explanation:
4 + 2(7)
This equation can be rewritten like this: 4 + 2 x 7
According to the order of operations, multiplication comes before addition.
So, we can go ahead and multiply 2 and 7 out:
4 + 2 * 7
4 + (2 * 7)
4 + (14)
Then, our second step is to add.
4 + 14 = 18
So, 4 + 2(7) = 18.
18 is your answer.
Please mark as Brainliest! :)
Answer:18
Step-by-step explanation:do parentheses. 4x7=14+4=18
Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £20. How much did they win in total
Answer:
They won £30 in total
Step-by-step explanation:
∵ Sara and Gordon win some money
∵ They share it in the ratio 2 : 1
∵ Sara gets £20
- To solve the problem lets use the ratio method
→ Sara : Gordon
→ 2 : 1
→ 20 : x
By using cross multiplication
∵ 2 × x = 1 × 20
∴ 2 x = 20
- Divide both sides by 2
∴ x = 10
∵ x represents the share of Gordon
∴ Gordon gets £10
- Add their shares to find the total
∴ The total = 20 + 10 = 30
∴ They won £30 in total
how to multiply a fraction
Answer:
Change the denominators to be the same by check if they are factors and then multiply top then bottom
Step-by-step explanation:
Step-by-step explanation:
how to multiply a fractionFOR EXAMPLE
[tex] \frac{3}{2} \times \frac{9}{5 } = \frac{27}{10} = 2.7 \\ [/tex]
y=x+2 2x-y=-4 Solve the systems of equations
Answer:
Step-by-step explanation:
Given that,
y=x+2 equation 1
2x-y=-4 equation 2
This is a simultaneous equation.
Substitute equation 1 into equation 2
2x-y=-4. Since y=x+2
2x-(x+2) = -4
2x-x-2 = -4
x-2 = -4
x = -4+2
x = -2
Also from equation 1
y=x+2
Since x=-2
y=-2+2
y=0
Then, solution (x, y) = (-2,0)
Answer: x = -2, y = 0
Step-by-step explanation:
[tex]y=x+2\\2x-y=-4[/tex]
Substitute y = x+2 in [tex]2x-y=-4[/tex]
Then we get, [tex]2x-(x+2)=-4[/tex]
[tex]2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2[/tex]
Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2
[tex]y=-2+2y=0[/tex]
So the answer is x = -2 and y = 0
What is the volume of this sphere?
12pi cm^3
36pi cm^3
288pi cm^3
864pi cm^3
Answer:
Option 3
Step-by-step explanation:
Volume of a sphere:
(4/3)×pi×r³
(4/3)pi × 6³
288pi cm³
Your bill at a restaurant is $4.65, and you decide to tip the waitress 90e. Because
you have only 20e in nickels, you give her six dollar bills and ask for change. The
waitress has only two quarters in change. Without changing your plans, how do
you solve this problem?
Answer: I will give her $6.05 and collect the $0.5 in her possession
Step-by-step explanation:
Before proceeding, we need to know the quantity or equivalent of some of the things mentioned.
a.Nickel:- a nickel is 5¢, this means that the 20¢ in nickels that you had in your possession while in the restaurant is equal to (20/5) 4 nickel coins.
b. Two quarters :- Just as the name implies; 2 quarters of a dollar is [(1/4) + (1/4)] of 1 dollar = 50 cent.
We need to calculate the entire amount that needs to be given to the waitress. Since your bill after eating at the restaurant is $4.65 and the intended tip is 90¢, the sum that should be offered to her =
$4.65 + $0.90
= $5.55 (five dollars : fifty five cent).
According to the question, you have only 20 cents in nickels, so although you have five dollar bills to give the waitress, 55¢ is not available. Again, if you offer her six dollar bills, she wouldn't be able to give you a change of 45¢ ($6.00 - $5.55) because she only has 2 quarters of a dollar (50¢).
Now, since you are in possession of 20¢ in nickels, the best way to tackle the situation is to demand the two quarters that she has while handing out the 6 dollar bills and 1 nickel (5¢) to her. So, you should simply offer her $6.05 while you collect $0.50 from her in return)
Recall that the total amount that must be given to her (bill + tip) = $5.55
Then subtracting 50¢ from $6.50¢ will give:
$6.05 - $0.50
= $5.55
Therefore you have given her exactly $5.55¢ if you offer her six dollars five cent and collect fifty cents in return.
If 4+2=26,8+1= 79 and 6+5=111 then what is 7+3
The answer is 70.
Explanation:The given pattern seems to follow the rule of multiplying the first number by the sum of its digits and adding the result to the second number:
For example:
4 + 2 = (4 x (4+2)) = 26
8 + 1 = (8 x (8+1)) = 79
6 + 5 = (6 x (6+5)) = 111
Therefore, for 7 + 3:
7 + 3 = (7 x (7+3)) = 70
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answer:3
Step-by-step explanation: So if we start by breaking it down -5+ (5+3) we do the parentheses first (5+3) which equals 8. Then we are left with (-5)+8 and it would equal 3.
Final answer:
The expression -5 + (5 + 3) simplifies to 3 by first evaluating the expression inside the parentheses to 8, and then subtracting 5 from 8 to get the final result.
Explanation:
The given expression is -5 + (5 + 3). To simplify this expression, we can use the Associative Property of addition, which allows us to change the grouping of the numbers. We will also use the properties of addition and subtraction. Here is the step-by-step process:
First, simplify the expression inside the parentheses: 5 + 3. This equals 8.Now, the expression is -5 + 8. According to the rule for adding two numbers with opposite signs, subtract the smaller number from the larger number and keep the sign of the larger number. Thus, 8 - 5 equals 3.Since 8 is larger than 5 and has a positive sign, the final answer is +3 or simply 3.Therefore, the simplified expression is 3.