Answer:
D
Step-by-step explanation:
solve for X 68=-52x+16
Answer:
-1
Step-by-step explanation:
Move the +16 onto the other side. We now have 52 = -52x. Divide each side by 54 to get x = -1.
Answer:
-1=x
Step-by-step explanation:
68=-52x+16
Minus sixteen on both sides
52=-52x
Divide -52 on both sides which will equal to -1
-1=x
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
the answer is X<3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
Answer: a = 0.3
Step-by-step explanation:
First, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-(a-0.3)
Then, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-a+0.3
Then, combine like terms
10a-2.4=a+0.3
Then, add(2.4)
10a=a+2.7
Then, subtract(a)
9a=2.7
Then, divide(9)
a = 0.3
Hope it helps <3
Answer:
a = 0.3.
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3
5.3a + 4.7a - 2a + a = 0.3 + 0.8 + 1.6
9a = 2.7
a = 0.3.
Please answer this question now
Answer:
The coordinates of C are (2,2)
a particular dam contains approximately 1,500,000,000,000 cubic feet of water. for a week long spike flood, water was released at a rate of 25,900 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?
Answer:
Total released water = 15,664,310,000 cubic feet
Total % of released water = 1.04%
Step-by-step explanation:
Given:
Water capacity = 1,500,000,000,000 cubic feet
Total seconds in a week = 7 × 24 × 60 × 60
Per seconds release amount = 25,900 cubic feet
Computation:
Total released water = 25,900 × 7 × 24 × 60 × 60
Total released water = 15,664,310,000 cubic feet
Total % of released water = 15,664,310,000 cubic feet / 1,500,000,000,000
Total % of released water = 0.0144
Total % of released water = 1.04%
21.
6
Which ratio can form a proportion with 6/9
12/8
8/12
10/12
8/13
Step-by-step explanation:
6/9 divide top and bottom by 3 to get 2/3
Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.
12/8 = 3/2 (divide by 4 top and bottom)
8/12 = 2/3 (divide by 4 top and bottom) This is a solution
10/12 = 5/6 (divide by 2 top and bottom)
8/13 (cannot be reduced)
Therefore the second fraction (8/12) forms a proportion with 6/9.
Answer:
8/12
Step-by-step explanation:
divide through by 2 6/9 = 2/3
also,
divide through by 4
8/12 = 2/3
6/9 = 8/12
Hey guys help me solve for x!!!
Answer:
X=10solution,
In a parallelogram, diagonal bisects angle into two equal parts. So,
<TVU=<TVW
or, 5x=50
or, X=50/5
X=10
Hope this helps..
Good luck on your assignment.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
WVT angle = UTV angle (alternative angles)
* sum of the interior angles in a triangle =180° In UVT triangle,[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
2 3 8 63 what number is next
Answer:
The answer is 3968
63 squared= 3969
3969-1 = 3968
Draw a model to represent the ratio 1 to 3. Describe how to use the model to find an equivalent ratio. Please help I'm really stuck.
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
5(x + 11) + 3(x + 8)
StartFraction 5 x + 11 Over 3 x + 8 EndFraction
Start Fraction 5 (x + 11) Over 3 (x + 8) EndFraction
5x + 11 + 3x + 8
Answer:
5(x+11)/3(x+8) = 5x+55/3x+24
Step-by-step explanation:
The Answer Happens to be:
c
Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert. Did they pay at the same rate?
Answer:
They did pay at the same rate
Step-by-step explanation:
when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.
Answer:
Yes
Step-by-step explanation:
We can use ratios for this:
Diego:
47:3 tickets
Divide both sides by 3 so you get the price of one ticket
15.67: 1 ticket
Andre:
141: 9 tickets
Divide both sides by 9 so you get the price of one ticket
15.67: 1 ticket
Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-one cents. He also claims that there are exactly twenty-three pennies. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels. Which equation represents the relationship expressed above?
a. q + d + n = 23
b.q + d + n + 23 = 241
c. 25q + 10d + 5n + 23 = 2.41
d.25q + 10d + 5n + 23 = 241
Answer: D
Step-by-step explanation:
All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)
Lauren opened a lemonade stand on her street. It costs her $8.00 to buy the supplies each day, and she sells lemonade for $2.50 a cup. If she wants to make at least $175.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Lauren needs to sell? Input your answer as a whole number.
Answer: 74 Cups
Step-by-step explanation:
What is the question asking?
The question is asking for the minium number of cups Lauren needs to sell
Total in profits they need to make?
They need to make 183$ because 175 + 8 = 183
183 / 2.5 = 73.2
because we need to sell at least 183$ worth we need to sell 74 cups or else we will not be making it all the way there.
<!> Brainliest would be appreciated! <!>
The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its height. Find the length of the base.
Answer:
The length of the base is 11 meters.
Step-by-step explanation:
The diagram of the triangle is not shown; However, the given details are enough to solve this question.
Given
Shape: Triangle
Represent the height with h and the base with b
[tex]b = 3 + 2h[/tex]
[tex]Area = 22[/tex]
Required
Find the length of the base
The area of a triangle is calculated as thus;
[tex]Area = \frac{1}{2} * b * h[/tex]
Substitute 22 for Area and 3 + 2h for b
The formula becomes
[tex]22 = \frac{1}{2} * (3 + 2h) * h[/tex]
Multiply both sides by 2
[tex]2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h[/tex]
[tex]44 = (3 + 2h) * h[/tex]
Open the bracket
[tex]44 = 3 * h + 2h * h[/tex]
[tex]44 = 3h + 2h^2[/tex]
Subtract 44 from both sides
[tex]44 - 44 = 3h + 2h^2 - 44[/tex]
[tex]0 = 3h + 2h^2 - 44[/tex]
Rearrange
[tex]0 = 2h^2 +3h - 44[/tex]
[tex]2h^2 +3h - 44 = 0[/tex]
At this point, we have a quadratic equation; which is solved as follows:
[tex]2h^2 +3h - 44 = 0[/tex]
[tex]2h^2 + 11h - 8h - 44 = 0[/tex]
[tex]h(2h + 11) - 4(2h + 11) = 0[/tex]
[tex](h - 4)(2h + 11) = 0[/tex]
Split the above
[tex](h - 4) = 0\ or\ (2h + 11) = 0[/tex]
[tex]h - 4 = 0\ or\ 2h + 11 = 0[/tex]
Solve the above linear equations separately
[tex]h - 4 = 0[/tex]
Add 4 to both sides
[tex]h - 4 + 4 = 0 + 4[/tex]
[tex]h = 0 + 4[/tex]
[tex]h = 4[/tex] ---- First value of h
[tex]2h + 11 = 0[/tex]
Subtract 11 from both sides
[tex]2h + 11 - 11 = 0 - 11[/tex]
[tex]2h = 0 - 11[/tex]
[tex]2h = -11[/tex]
Divide both sides by 2
[tex]\frac{2h}{2} = -\frac{11}{2}[/tex]
[tex]h = -\frac{11}{2}[/tex] ------ Second value of h
Since height can be negative, we'll discard [tex]h = -\frac{11}{2}[/tex]
Hence, the usable value of height is [tex]h = 4[/tex]
Recall that [tex]b = 3 + 2h[/tex]
Substitute 4 for h
[tex]b = 3 + 2(4)[/tex]
[tex]b = 3 + 8[/tex]
[tex]b = 11[/tex]
Hence, the length of the base is 11 meters
A total of $5900 is invested, part at 11% simple interest and part at 7%. If the total annual return from the two investments is $ 537.00, how much is invested at each rate?
How much was invested at 11% ? $____
Answer:
Step-by-step explanation:
y = 5900 - x
Simple interest = Prt
Simple interest on $x = x * 0.11 * 1 = 0.11x
Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1
= (5900 - x) * 0.07
= 5900 * 0.07 - x * 0.07
= 413 - 0.07x
Return from tow investment = $ 537
0.11x + 413 - 0.07x = 537
Add the like terms
0.04x + 413 = 537
Subtract 413 for both sides
0.04x = 537 - 413
0.04x = 124
x = 124 /0.04
x = 3100
y = 5900 - 3100 = 2800
x = $ 3100
y = $ 2800
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
Given that [Image Display]
What is the domain of the function f ?
a.
only positive integers
c.
only negative integers
b.
All non zero real numbers.
d.
All real numbers including zero
Answer:
The answer is option D.
All real numbers including zero
Hope this helps
Answer:
all non zero real numbers is the answer to the question.
this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers
12 points!
A point located at (3,-2) is translated right 3 units and down 4 units. What are the coordinates of the image?
(0-2)
(6,-6)
(6,2)
(0,-6)
Answer: (6,-6)
Step-by-step explanation: so, the x coordinate before is 3, and traveling right is a positive number. So to find the x coordinate after, add 3 because it is going right 3 units, which is 6. The y coordinate was -2 before. Going down in terms for the y coordinate means negative, or to subtract, so the y coordinate after would be -6, because -2+4=-6
Hope you understand :)
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
PLEASE HELP IM STUCK
Answer:
Vertex: (0, 12)
Direction: Upwards
Step-by-step explanation:
Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
Michaela has three times as many folders as Alejandro. Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro. How many folders did Michaela have originally? A) 9 B) 12 C) 22 D) 27
Answer:
there were 22 folders originally
Michaela originally has 27 folders. Hence option D) is correct.
Michaela has three times as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.
In mathematics it deals with numbers of operations according to the statements.
Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 = x+5+8
2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27
Thus, Michaela originally has 27 folders.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
if -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots. find the value of k
Answer:
[tex]$k=\frac{7}{4} $[/tex]
Step-by-step explanation:
[tex]2x^2+px-15=0[/tex]
Once [tex]x=-5[/tex]
[tex]2(-5)^2+p(-5)-15=0[/tex]
[tex]2(25)-5p-15=0[/tex]
[tex]50-5p-15=0[/tex]
[tex]35-5p=0[/tex]
[tex]p=7[/tex]
Quadratic Equation:
[tex]2x^2+7x-15=0[/tex]
[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]
[tex]\Delta=b^2-4ac[/tex]
[tex]\Delta=7^2-4(7)k[/tex]
[tex]\Delta=49-28k[/tex]
The quadratic equation having two equal roots means that the discriminant is equal to zero.
[tex]0=49-28k[/tex]
[tex]-49=-28k[/tex]
[tex]$k=\frac{49}{28} $[/tex]
[tex]$k=\frac{7}{4} $[/tex]
Ama's age is two thirds that of her elder sister. Four years ago ama's age was half the sister's. How old is the sister?
Answer:
12
Step-by-step explanation:
Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.
Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.
The equations:
(Ama is a)
(Ama's sister is s)
a = (2/3)s
a - 4 = (1/2)(s - 4)
Step one:
You would substitute the first equation into the second equation to get
(2/3)s - 4 = (1/2)(s - 4)
Step two:
Multiply by 6 to get rid of the fractions to get
4s - 24 = 3(s - 4)
Step three:
Simplify to get
4s - 24 = 3s - 12
Step four:
Subtract 3s and add 24 to get
s = 12
Step five:
Input the s value into the first equation to get
a = (2/3)(12) = 8
If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)
Step-by-step explanation:
let ama's age be x
and ama's sister be y
according to question
3x=2y --------(1)
x-4=(y-4)/2 ---------(2)
after solving equation (1) and (2)
we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years
Use addition to solve the linear system of equations. Include all of your work in your final answer. x-y=6 y=x-4
Answer:
no solutions
Step-by-step explanation:
x-y=6
y=x-4
Subtract x from each side
-x+y = x-4-x
-x+y = -4
Add this to the first equation
x-y=6
-x+y = -4
---------------
0x + 0y = 2
0=2
This is never true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
x - y = 6
y = x - 4
Solve for x in the first equation.
x = 6 + y
Put x as 6 + y in the second equation and solve.
y = (6 + y) - 4
y - y = 6 - 4
0 = -2
There are no solutions.
What is a solution in math?
A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
Answer:
what the variable is equal to
Step-by-step explanation:
for example, in a equation like 1x = 2x/2 the solution could be x=1