The product of the expressions is 1/3a option the second 1/3a is correct after simplification.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{a-3}{15a} \times \dfrac{5}{a-3}[/tex]
After simplification:
[tex]=\rm \dfrac{1}{15a} \times \dfrac{5}{1}[/tex]
= 1/3a
Thus, the product of the expressions is the 1/3a option the second 1/3a is correct after simplification.
Learn more about the expression here:
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I need heelpppp plz hurry
Using Pythagoras theorem,
H^2 = P^2 + B^2
h = 200
p = 2x
b = 6x
Solving,
(200)^2 = (2x)^2 + (6x)^2
40000 = 4x^2 + 36x^2
40000 = 40x^2
40000/40 = x^2
1000 = x^2
[tex]\sqrt{1000}[/tex] = x
x = 31.62 ft
Patty is making a candle. She has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from. How many ways can Patty make a candle? a 27 b 72 c 96 d 13
Answer:
b 72
Step-by-step explanation:
you multiply 6 times 4 times 3
hope this right
if it is wrong correct me
Which equation represents the relationship between the angles in the figure?
A. 88+b=90
B. 88+b=180
C. 2b+88=90
D. 2b+88=180
Answer:
D
Step-by-step explanation:
this figure equals to 180
so you put add 88 + b+ b=
since 2b is the closest to b+b
Answer:
D I did the quiz i had to figure it out
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
2x-y=7
Answer:
(0,−7)
Step-by-step explanation:
Since this is the equation of a straight line, there are no restrictions on what you could choose for a value of x. In "official" terms, we say the domain of the function is all real numbers.
Say you pick something simple like x=1. Now, insert this value, and the equation becomes
2−7=y
or y=−5
This means (1,−5) must be a point on the line, and it is also an ordered pair that satisfies the equation.
Please help!!!! No explanation needed
Help is appreciated
Answer:
A
-Brain Indigo
Ivan bought a box of macadamia nuts to bring home from his trip.
10 in.
3.5 in.
4 in.
HELP ME
AM DESPERATE
Answer: B. 140 cubic inches.
Step-by-step explanation:
The question is asking you to find the volume of the rectangular prism.
You can find this by using this formula:
[tex]V = w*h*l[/tex]
Where w is the width, h is the height, and l is the length.
Substitute the sides of the rectangular prism into the equation:
[tex]V = 3.5 * 10 * 4\\\\V = 140[/tex]
The volume of the prism is 140 cubic inches.
The correct answer is B.
Find the value of x in the diagram below.
Answer:
10
Step-by-step explanation:
13x + 5x = 180
18x = 180
x = 10
Find the minimum value of the parabola y =X^2 + 5x – 3
Answer:
Minimum value = −13/4
Step-by-step explanation:
Answer:
-37/4
Step-by-step explanation:
The minimum value of the parabola y =x² + 5x – 3 is f(-b/2a)
in this case a = 1 and b = 5 and c = -3
then
-b/2a = -5/2(1) = -5/2
then
f(-b/2a) = f(-5/2) = -37/4
Which statement about the relative areas of triangle ABC and triangle XYZ is true?
Answer:
Step-by-step explanation:
Answer: A. The area of ABC > the areas of XYZ
Step-by-step explanation:
Look up
Solve the system of equations:
y= 2x
y = x2 - 3
O A. (-2, 1) and (2, 1)
O B. (-1,-2) and (3, 6)
O C. (-2,-4) and (2, 4)
O D. (-1,2) and (3, 2)
Samantha sells two types of wristbands, rope or beaded. She charges more for beaded wristbands than for rope wristbands. The amount of money, in dollars, that she collects from selling x wristbands of one type and y wristbands of the other type can be modeled by the expression 5x+8y.
What does the variable y represent in this situation?
A. the selling price of one rope wristband
B. the number of rope wristbands sold
C. the number of beaded wristbands sol
D. the selling price of one beaded wristband
Answer:
C
Step-by-step explanation:
Because the beaded wristbands cost more than the regulars, the 5 and 8 must refer to how much each type of wristband costs. And because y has the greater coefficient of 8, y must represent the number of beaded wristbands sold, or C. Hope this helps!
Answer:
C
Step-by-step explanation:
1. Anike needs a new pair of athletic shoes for her soccer tryouts. The regular price for the shoes is $129.00. There is a sales tax of 7%. Anike has a budget of $150.00. How much money will Anike have left after this purchase? Round to the nearest cent, like $7.15.
50−(129+129(0.07))=$11.97
129+129(0.07)=$138.03
150+129(0.07)=$140.97
150−(129+150(0.07)=$10.50
2. Harper has budgeted $525 to purchase a new laptop. She found one on sale for $500, and the sales tax is 6.25% in her state. How much will she actually have to pay for the laptop?
$31.25
$531.25
$468.75
$500.00
3. Mr. Robinson is planning to buy a house with the appraised value of $250,000. The property tax rate is 37.658. What are his yearly property tax fees?
$9314.00
$9314.50
$9414.50
$9400.15
PLEASE HELP IM JUST TRYING TO GET PASSED FINANCIAL MATH D:
Answer:
$150-$129-($129*7%)=$11.97
$531.25
$9414.5
Step-by-step explanation:
The amount that Anike would have left is the budgeted amount minus the regular price as well as the applicable sales tax.
Amount left=$150-$129-($129*7%)=$11.97
The amount that Harper would have to pay is the purchase price of $500 plus the 6.25% of sales price as sales tax i.e $500+$500*6.25%=$531.25
The yearly tax fees is the appraised value multiplied by property tax rate i.e $250,000*3.7658%=$9414.5
The property tax rate is 3.7658% not 37.658%
an account pays 6% simple interest. In year 1 , the amount in the account is 70$ . How much is the account on year 5 ?
Answer: I think its 24.5 dollars left
Solve this equation. Explain or show your reasoning.
x + 5 =2(x - 3)
Look at the attached picture
Hope it will help you
Answer:
this answer is attached to the picture
Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.
A. 4/7 radians
B. 7/π radians
C. 7/4 radians
D. 7 π/4 radians
Answer:
[tex]\theta=\dfrac{7}{4}\ \text{radian}[/tex]
Step-by-step explanation:
We have,
Radius of the circle is 12 cm
Arc length, l = 21 cm
It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :
[tex]l=r\times \theta[/tex]
[tex]\theta[/tex] is central angle
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}[/tex]
So, the angle at the centre of the circle is [tex]\dfrac{7}{4}\ \text{radian}[/tex].
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
Chapter Reference
c
Maya biked for 3 hours and then ran for 1 hour and 30 minutes. What distance did she cover?
PLZ HELP IN A BIG RUSH PLZ PLZ PLZ
Answer:
36 miles
Step-by-step explanation:
Maya can bike 9 miles in one hours, meaning that she can bike 27 miles in 3 hours. Since Maya can run 18 miles in 3 hours, and half of 3 is 1.5, she can run 9 miles in 1.5 hours.
Biking Miles + Running Miles= Total Miles
27 + 9= 36 total miles
Answer:
36
Step-by-step explanation:
just trust me and focus on ur test.
-3x + 4 = -8
Does anyone know what x is?
Answer:
x = 4
Step-by-step explanation:
-3x + 4 = -8
-3x = -8 - 4
-3x = -12
x = -12/-3
x = 4
Answer: x = 4
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
-3x +4 = -8
-4 -4
Subtract four from the four to cancel out and the -8.
That makes the equation -3x = -12
Then, divide by -3 by -3, then -12 divide by -3, to equal 4
Hope this helps and please mark me brainliest :)
Marco needs to make a five letter password, without repeating any letters. How many different passwords could Marco make?
A.) 120
B.) 5,640,000
C.) 7,893,600
D.) 11,881,376
Answer:
7,893,600
Step-by-step explanation:
Permutations
n = possible things used (26 letters)
r = how many at a time (5 at a time - this is without repeating)
nPr = n! / (n - r)!
26P5 = 26! / (26 - 5)!
26! = 26 x 25 x 24 x 23 x 22... = 403291461126605635584000000
(26 - 5)! = 21! = 51090942171709440000
An easy hack for solving division of large factorials is to use canceling.
26!/21! = 26 x 25 x 24 x 23 x 22 (because 21 down to 1 is cancelled by 21!)
= 7,893,600
Please help me on this question, thanks.
Answer:
x = 8
Step-by-step explanation:
[tex] = > 17x - 4 = 15x + 12 \\ \\ = > 17x - 15x = 12 + 4 \\ \\ = > 2x = 16 \\ \\ = > x = \frac{16}{2} \\ \\ = > x = 8[/tex]
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
[tex]17x - 4 = 12 + 15x \\ 17x - 15x = 4 + 12 \\ 2x = 16 \\ \frac{2x}{2} = \frac{16}{2} \\ x = 8[/tex]
( -2ab+4a-1) - (3ab+1)
Answer:
Step-by-step explanation:
−5ab+4a−2
Answer:
-5ab+4a-2
Step-by-step explanation:
(-2ab+4a-1) - (3ab+1)
-2ab+4a-1 -3ab-1 (you put them out of the brackets by following the procedures. )
-2ab-3ab+4a-1-1 (then you collect like terms)
-5ab+4a-2
Solve by completing the square with working out
-6x-x^2-8
Answer:
x = -3 +/- sqrt(17)
Step-by-step explanation:
-6x - (x^2) - 8 = 0
-((x^2) + 6x + 8) = 0
(x^2) + 6x + 8 = 0
(x + 3)^2 - 1 = 0
(x + 3)^2 = 1
x + 3 = +/- sqrt(1)
x + 3 = +/- 1
x = -3 +/- 1
x = -4, -2
In a certain country, the car license plate formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet. How many license plates can be formed if neither the digits nor the letters are repeated?
Answer:
78,624,000 license plates
Step-by-step explanation:
For each of the 4 numbers, we have the following possibilities:
First number: 10 digits possible
Second number: 9 digits possible (one used)
Third number: 8 digits possible (two used)
Fourth number: 7 digits possible (three used)
For each of the 3 letters, we have the following possibilities:
First letter: 26 digits possible
Second letter: 25 digits possible (one used)
Third letter: 24 digits possible (two used)
The total number of license plates is the product of all these possibilities:
Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
In a certain country, the car license plate is formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet.
There are 10 numbers.
And there is 26 alphabet.
The license plates can be formed if neither the digits nor the letters are repeated will be
[tex](number)(alphabet)\\\\(9*8*7*6)(26*25*24) \\\\78,624,000[/tex]
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
10x^2+15x+5??? Rewrite the question by completing the square factor
Answer:
5 • (2x + 1) • (x + 1)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((2•5x2) + 15x) + 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
10x2 + 15x + 5 = 5 • (2x2 + 3x + 1)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 + 3x + 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2
2x2 + 1x + 2x + 1
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
1 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+1) • (2x+1)
Which is the desired factorization
So the answer is:
5 • (2x + 1) • (x + 1)
Answer:
2 (that is the answer, hope i helped)
Which two values of xare roots of the polynomial below?
x²-3x+5
Answer:
the image provided is the answer.
Time Temperature(०F)
9:00 60
10:00 62
11:00 64
12:00 68
find the constate rate
Answer:
it is +2 every time
Step-by-step explanation:
hope this helps please give me brainiest
x squared + 12 x + 3 = 7 solve by completing the square
ax^2 + bx + c
x^2 + 12x + 3 = 7
x^2 + 12x = 4
Take b, half it, then square it--
x^2 + 12x + 36 = 40
That equation becomes
(x+6)^2 = 40
+ 6 = ± (square root of 40)
= 0.324555
= −12.3246
Answer:
1/6?
Step-by-step explanation:
The frequency table shows the number of t-shirts each person in a class owns. Which histogram is displayed correctly from the frequency table?
Answer:
I think its option 1
Step-by-step explanation:
Which equation can be used to find the surface area of the cylinder?
VX
r = 4 in.
h = 16 in.
S= 2 (4)2 + 2 $(4)(16)
O S-2 (8)? + 2 (8)(16)
S = 28(16)2 + 28(16)(4)
Answer:
I am pretty sure the answer is A.
A fast food restaurant sells hamburgers at $5.50 each and hot dogs at $4 each. 1) Write an algebraic expression to find the total sales revenue if the fast food restaurant sells x hamburgers and y hot dogs. 2) What is the total sales revenue of the fast food restaurant if x=30 and y=45?
Answer: $ 345
Step-by-step explanation:
The equation is 5.50x + 4y
Plugging the numbers in: 5.50(30) + 4(45)
$165 worth of hamburgers + $180 worth of hot dogs = $345 total sales revenue
HELP! Please! HELP! Please see attachment to see the problem
Hello hello!
Solving this is simple, just remember the vertical angles theorem. Due to this theorem, you are able to conclude that x+40 and 60 are equal in terms of their angle measure. This means that to solve this, we need to set both sides equal to each other and solve for x, and plug it in!
STEP ONE: 60 = x + 40
DO: Subtract 40 from both sides.
STEP TWO: 20 = x
DO: You've answered the question!
ANSWER: x = 20