Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?
Answer:
Worker 1: 46 parts
Worker 2: 40 parts
What is the answer to 0.1 * n = 89.9 ?
Write the tangent ratios for P and Q. The figure is not drawn to scale.
Answer:
tan P = 24/7 and tan Q = 7/24
Step-by-step explanation:
tangent of any angle in a right angle triangle is always represented by
tan x = opposite side/ adjacent side = height / base
from the question we have to write tangent of P and Q.
tan P = QR/PR = 24/7
tan Q = PR / RQ = 7/24
So the answers are tangent ratios for P and Q are 24/7 and 7/24.
If the first equation is multiplied by 3 and then the equations are added, the result is _____.
3x + y = 3
x - 3y = -2
10x = 11
10x = 7
8x = 7
Answer: The correct option is (B) [tex]10x=7.[/tex]
Step-by-step explanation: The given equations are :
[tex]3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.
Now, multiplying equation (i) by 3, we get
[tex]3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
adding equation (iii) to equation (ii), we get
[tex](9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.[/tex]
Thus, the required result is [tex]10x=7.[/tex]
Option (B) is CORRECT.
Is the area between y = 1/x and y = 1/x^2 on the interval from x = 1 to finite or infinite?
What is the first step in solving a quadratic equation of the form given below?
(ax + b)2 = c
A.Divide both sides by c
B.Use the zero product rule
C.Factor out a common factor
D.Take the square root of both sides
the answer is d,,,,,,,,,,,,,,,,,
Answer:
Correct option is D.
Step-by-step explanation:
Given the quadratic equation
[tex](ax+b)^2=c[/tex]
we have to define the first step in solving a quadratic equation.
To find the value of x we have make the equation linear i.e taking the square root on both sides as c is any constant.
If c is 0 the we use the zero product rule.
Hence, our first step in solving a quadratic equation of the form
[tex](ax+b)^2=c[/tex]
is to take the square root of both sides.
Correct option is D.
Randolph has 8 ties, 6 pairs of pants, and 4 dress shirts. how many days can randolph go without wearing the same combination of these three items?
Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.
A. Divide by 2 from both sidesB. Square root both sidesC. Divide by 6 from both sides
D. Subtract 4 from both sidesE. Subtract 8 from both sidesF. Square both sides
Answer:
First F, then D, then C
What is the mean of 4, 6, 8, 20, 12?
Answer:
The correct answer is A. 10
4+6+8+20+12=50
50/5 =10
Step-by-step explanation:
A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be used to find the cost of the gum 20 years ago?
A)
0.3x - 0.3 = 0.75
B)
3x - 0.3 = 0.75
C)
3x - 3 = 75
D)
3 - 3x = 75
Answer:
C
Step-by-step explanation:
Let the cost of a pack of gum 20 years ago = x cents
Given, present cost of a pack of gum = 75 cents
Given, present cost of a pack of gum is 3 cents less than three times what the pack costs 20 years ago.
So,
[tex]75 + 3 =3x[/tex]
[tex]75= 3x -3[/tex]
[tex]3x-3=75[/tex]
Therefore,
Equation , [tex]3x-3=75[/tex] , can be used to find the cost of the gum 20 years ago.
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.
A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem
C. The alternative form of the law of cosines
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.
Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or b² = a² + c² − 2 bc cos B, or c² = a² +b ² − 2 bc cos CTherefore; when given all the sides or edges of the triangle;
we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;The sum of 8 and 7, doubled
What is the result if you divide -12x8y8 by 3x4y2? ...?
Answer:
-4x⁴y⁶
Step-by-step explanation:
To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.
When dividing variables with the same base, we subtract the exponents:
x⁸ / x⁴ = x⁸-⁴ = x⁴
Similarly, y⁸ / y² = y⁸-² = y⁶
Now, let's divide the coefficients:
-12 / 3 = -4
Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:
-4x⁴y⁶
If x=4, then 5x=20 select the property
The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.
Explanation:When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).
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Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC.
If two sides of a triangle are not =, the angle opposite the ___ side is the larger angle. shortest, intermediate, longest?
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
If two sides of a triangle are not equal,
According to Relationship between the angle and side , we know that the angle opposite the shortest side is the larger angle,
And,
The angle opposite the longest side is the shortest angle
So, First option is correct.
In which quadrant is point (4,5) located
Which pair of angles must be congruent?
A. Supplementary angles
B. Complementary angles
C. Adjacent angles
D. Vertical angles
(3a2 + 2a - 2) - (a2 - 3a + 7)
URGENT! PLEASE HELP MATH!
Which shows the conversion of 0.427 kg to pounds?
There are 2.2 pounds in 1 kilogram.
A.
0.427 kg × 2.2 lb/kg = 9.39 lb
B.
0.427 kg × 2.2 lb/kg = 0.939 lb
C.
0.427 kg + 2.2 lb/kg = 2.627 lb
D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb
This is a continuous set of numbers. every real number from the starting value to the ending value is included. it is called an ___.
factor 6x^2+11x+4 ...?
jamal is 167 cm tall which expression expression finds jamals height in dekametres
A.167 times 100
B.167 times 1000
C.167 divided by 100
D.167 divided by 1000
Jamal's height can be converted to dekametres by dividing his height in centimeters (167 cm) by 1000, because there are 1000 centimeters in a dekametre.
To convert Jamal's height from centimeters to dekametres, we should recall that 1 dekametre equals 10 meters or 1000 centimeters. Since Jamal is 167 cm tall, we need to divide his height in centimeters by the number of centimeters in a dekametre to get his height in dekametres.
Therefore, the correct expression to find Jamal's height in dekametres is:
167 divided by 1000
This is option D: 167 / 1000.
Use the elimination method to solve the following system of equations.
2x - y + z = -3
2x + 2y + 3z = 2
3x - 3y - z = -4
Which of the following are valid names for the triangle below? Check all that apply.
A. KE
B. KMD
C. DKM
D. SKMO
E. MDK
F. SKD
Answer:
KMD,MDK,DKM
Step-by-step explanation:
If he swim 900m in a day how many kilometers he swim
How many real solutions does the function shown on the graph have?
Can someone explain?
One, Two, None, or can't be determined?
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .
Find the radius of a circle that has a circumference of 16.
Answer: 8 units
Step-by-step explanation:
Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.
To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get
[tex]r=\dfrac{C}{2\pi}[/tex]
Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]
Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]
Hence, Circumference of the circle = 8 units
For Earth Day, the school plans to sell the following buttons to students and the community. The school will have to pay $18 for 15 dozen buttons. How much will the school have to pay for 50 dozen buttons?
The school will have to pay $60 for 50 dozen buttons, by using a proportional calculation based on the known cost of $18 for 15 dozen buttons.
Explanation:The student's question involves calculating the cost of purchasing a larger quantity of buttons based on a known cost for a smaller quantity. To solve this, we will use proportional reasoning.
The school pays $18 for 15 dozen buttons. First, we find the cost for one dozen by dividing the total cost by the number of dozens:
$18 ÷ 15 dozen = $1.20 per dozen
Next, we calculate the cost for 50 dozen buttons by multiplying the cost per dozen by the number of dozens:
$1.20 per dozen × 50 dozen = $60
Therefore, the school will have to pay $60 for 50 dozen buttons.
Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.
Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.
Explanation:A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.
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