Answer:
12x +60
Step-by-step explanation:
c
d
The expression (x - 0.35x) represents 35% off the cost of item x. How is this equivalent to multiplying x by 0.65?
Answer:
It is equivalent.
Step-by-step explanation:
(x-0.35x) is (Total price-0.35 × the original price)=0.65×
1. Only 60% of the students passed a drawing class. 2,000 students took the class. Find out how many students were failures.
Answer:
800 students failed
Step-by-step explanation:
Since 60% passed the class, 40% failed
This means that 40% of the 2,000 students are failures
[tex]\frac{40}{100} (2,000)= 800[/tex]
4. If (3 + bi) + (7 – 2i) = 10 + 6i, find the value of b.
Answer:
b = 8
Step-by-step explanation:
The real part of the givens add correctly.
bi - 2i = 6i Add 2i to both sides.
bi = 6i + 2i
bi = 8i The i's will cancel
b = 8
Due to expected droughts, the farmer will only be planting crops on 3/ 4 of this area. How would you correctly calculate the size of this new area? A. the total area multiplied by 4 divided by 3 B. the total area divided by 3 C. the total area divided by 4 D. the total area multiplied by 3 divided by 4 math
Answer:your answer is D.
Step-by-step explanation:
When dividing fractions you must flip the numerator and denominator so that would leave you with 6/1 divided by 3/4, solve this and then you have an improper fraction so after you multiply by 3 you must divide because of the improper fraction and you will divide by 4.
Answer:
d .the total area multiplied by 3 divided by 4
Step-by-step explanation:
.
the total area multiplied by 3 divided by 4
please help with this
The difference between two numbers is 78. Six times the smaller is equal to 7 more than the larger. What are the numbers?
Answer: x=95 and y=17
Step-by-step explanation:
X-y=78
6y=7+x
6y-7=x
6y-7-y=78
5y-7=78
5y=85
y=17
x-17=78
x=78+17
x=95
Answer:
x=143
y=25
thus ur two numbers are 143 and 25
solve if x=11. x+44/2x
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65 what is the value of x
Answer:
135
Step-by-step explanation:
The measure of the angle KSO is 135°
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65
We know that, opposite angles of a parallelogram are equal,
Therefore, ∠ ORK = 70°
In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,
We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Therefore, ∠ KSO = ∠ ORK + ∠ ROS
∠ KSO = 135°
Hence, The measure of the angle KSO is 135°
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the quotient of k and ten
Answer:
k/10
Step-by-step explanation:
Quotient of k and 10 simplified to k/10
The population of a school is 800 students and is increasing at a rate of 3% per year. How many students will be there in 6 years?
Help plz:)))I’ll mark u Brainliest
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?
Answer:
$421.10
Step-by-step explanation:
If the discount is 10%, that means the sale price is 90% of the original price.
Write the equation that represents that:
378.99 = 0.9x. Solve for x. Divide both sides by 0.9
378.99/0.9 = 421.10
That is the price before the discount and tax.
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
y=36+12x
Step-by-step explanation:
I PUT THE PICTURE ALONG WITH THIs. SOMEONE PLEASE PLZ PLZ PLZ PLZ HELP ASAP.
Answer:
get math it will help you
Step-by-step explanation:
3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.
Answer:
a- 15
Step-by-step explanation:
Answer:
a.) 15
b.) 180
c.) 2700
d.) 2700
You are shopping for earrings. The sale tax is 5%. You have a total of $18.37 to spend. What is your price limit for the earrings?
(Please help me I'm failing:)
Answer:
$17.50
Step-by-step explanation:
$18.37=x+5%
18.37=1.05x
18.37/1.05=x
x=$17.50
Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.
How many 1/8's are in 25?
Answer:
There are 200 1/8's in 25.
Step-by-step explanation:
If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.
200 1/8. Hope this helps and feel better!
which equation shows that 9 is a factor of 72
Answer:
Step-by-step explanation:
A set of equations is given below:
Equation M: y = 3x + 4
Equation P: y = 3x + 7
Which of the following options is true about the solution to the given set of equations? (4 points)
Question 5 options:
1)
No solution
2)
One solution
3)
Two solutions
4)
Infinite solutions
Answer:
Step-by-step explanation:
No solution. Lines M and P have the same slope but different y-intercepts., so they are parallel lines.
Parallel lines don’t intersect each other, so there is no solution.
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Answer:
30x² − 23x − 14Explanation:
Area = Length · WidthLength: (6x - 7)
Width: (5x + 2)
Create An Equation(6x - 7) (5x + 2)
= (6x + −7)(5x + 2)
(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)
= 30x² + 12x − 35x − 14
30x² − 23x − 14- PNW
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°
Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.
Step-by-step explanation:
(a) Write the ratio 32 : 80 in its simplest form
Answer:
Therefore, 32/80 simplified to lowest terms is 2/5.
19. Eight hot dogs at the baseball park cost $28.
How much does one hot dog cost?
(let h = price of one hot dog)
Answer:
h= $3.50
Step-by-step explanation:
28 / 8 =
The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year?
45.50 (StartFraction 7 over 10 EndFraction) = n
45.50 = 0.7 n
45.50 + n = StartFraction 7 over 10 EndFraction
45.50 = 0.7 + n
Answer:
45.50 (StartFraction 7 over 10 EndFraction) = n
Answer:
the correct answer on edge is B. 45.50=0.7n
Step-by-step explanation:
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents
Answer:
5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.
The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the expression for the total cost,
C = 5b + 3.79 where b is the number of bagels.
Cost of 5 bangles →
C = 5(5) + 3.79 =$ 28.79
Cost of container = $3.79
Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.
Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".
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Conduct a Pareto analysis for the number of minutes that flights are late in the accompanying data. Interpret the results. LOADING... Click the icon to view the Atlanta Airline Data. Conduct a Pareto analysis for the number of minutes that flights are late. 15127137130.3074601124.053619303 192644911620.5010780515.163538874 192426514270.6153514455.158176944
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution:
20% of flights accounted for nearly 70 to 80% of delayed minutes.
A $5,600 deposit for 45 years at a simple
interest rate of 3%
Answer:
$13,160
Step-by-step explanation:
5,600*.03=168
168*45= 7,560
5,600+7,560= 13,160
The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.
What is simple interest?Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).
The formula to calculate Simple Interest is:
SI = P*I*T
Here, P = Principal amount,
I = interest rate (in decimals),
T = time duration (in years).
putting the values from question:
SI = 5600 * 0.095*3
Simple Interest = 535
The money in the account will be the sum of principal amount and the simple interest.
Final amount = Principal amount + Simple Interest.
A = 5600 + 535
A = 6135
Therefore, the money in the account after 3 years is $6135 .
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complete question;
Tom deposits $5,600 into a savings account. The simple interest rate for the account is 9.5%. If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?
Find the value of x.
x = [?]
Answer:
14
Step-by-step explanation:
Since both the chords are equidistant from the center of the circle, so their lengths would be same.
x = 2*7 = 14
Find the complex factors of the quadratic trinomial x^2 + 8x +17
Answer: Factoring x2+8x+17
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +17
Step-1 : Multiply the coefficient of the first term by the constant 1 • 17 = 17
Step-2 : Find two factors of 17 whose sum equals the coefficient of the middle term, which is 8 .
-17 + -1 = -18
-1 + -17 = -18
1 + 17 = 18
17 + 1 = 18
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
1
:
x2 + 8x + 17 = 0
STEP
2
:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = x2+8x+17
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -4.0000
Plugging into the parabola formula -4.0000 for x we can calculate the y -coordinate :
y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0
or y = 1.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2+8x+17
Axis of Symmetry (dashed) {x}={-4.00}
Vertex at {x,y} = {-4.00, 1.00}
Function has no real rootsvSolving x2+8x+17 = 0 by Completing The Square .
Subtract 17 from both side of the equation :
x2+8x = -17
Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16
Add 16 to both sides of the equation :
On the right hand side we have :
-17 + 16 or, (-17/1)+(16/1)
The common denominator of the two fractions is 1 Adding (-17/1)+(16/1) gives -1/1
So adding to both sides we finally get :
x2+8x+16 = -1
Adding 16 has completed the left hand side into a perfect square :
x2+8x+16 =
(x+4) • (x+4) =
(x+4)2
Things which are equal to the same thing are also equal to one another. Since
x2+8x+16 = -1 and
x2+8x+16 = (x+4)2
then, according to the law of transitivity,
(x+4)2 = -1
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+4)2 is
(x+4)2/2 =
(x+4)1 =
x+4
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x+4 = √ -1
Subtract 4 from both sides to obtain:
x = -4 + √ -1
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 + 8x + 17 = 0
has two solutions:
x = -4 + √ 1 • i
or
x = -4 - √ 1 • i
Answer:
x=27
Step-by-step explanation: