Answer:
AC = 135 units
Step-by-step explanation:
since PQ bisects AB , then
BC = AC , that is
12x - 21 = 9x + 18 ( subtract 9x from both sides )
3x - 21 = 18 ( add 21 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Then
AC = 9x + 18 = 9(13) + 18 = 117 + 18 = 135
a test shows that 10 out of 100 gadgets are defective. in a random sample of two gadgets are chosen the probability that both are defective is
The probability of selecting both defective gadgets out of 100 gadgets is 1/110, which is calculated using the basic concepts of probability theory.
What is a random experiment?
An experiment that is repeated several times and produces more than one possible outcome is called as the random experiment. It contains a well-defined set of values which constitutes a sample space. Eg: Rolling a die, tossing a coin etc.
Calculation of the probability of selecting both gadgets as defective
The total amount of gadgets = 100
Number of defective gadgets = 10
The probability of selecting a defective gadget is 10 / 100 or 1 / 10
Now, the total number of gadgets and defective gadgets are decreased by 1
So, the probability of selecting another gadget as defective is 9 / 99 or 1 / 11
P(E) = P(when two selected gadgets are defective) = 1 / 10 x 1 / 11
P(E) = 1 / 110
Hence, the probability of selecting both defective gadgets is 1/110.
To learn more about the random experiment, visit here:
https://brainly.com/question/16963466
#SPJ4
If you have piano lessons every 7 days and tuba lessons s every 3 days, how many days before you have them together
21 days before I had both the lessons together.
For the occurrence of two events at the same time we will find the least common multiple.
If I have piano lessons on every 7th day and tuba lessons on every 3rd day,
Least common multiple of 3 and 7 will be,
Multiples of 3 = 1 × 3
Multiples of 7 = 1 × 7
Least common multiple (LCM) of 3 and 7 = 3 × 7
= 21
Therefore, 21 days before I had both the lessons together.
Learn more about least common multiple here:
https://brainly.com/question/11533141
#SPJ4
(-4,-11) coordinates over the x axis
The plotting of (-4,-11) coordinates is given below in the graph .
In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values. A point on a graph often represents a relationship between two or more things. In mathematics, graph theory is the study of graphs. A graph is a mathematical construct used to model pairwise relationships between objects. In this context, a graph consists of vertices (also called nodes or points) connected by edges (also called links or lines).We have given a coordinate (-4,-11) which means that x - coordinate is -4 and y- coordinate is -11 .
Learn more about graph here :
https://brainly.com/question/11337174
#SPJ9
The complete question is mention below :
Plot (-4,-11) coordinates over the x -axis and y-axis .
HELPP PLSSSSSSSSSS i would really appreciate it
Applying exponential properties, we have that the solution to the given expression is:
[tex]-\frac{125}{343}[/tex]
How do we proceed when a fraction is elevated to the exponent?When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.
In this problem, we have that:
The numerator is of 5, hence 5³ = 125.The denominator is of 7, hence 7³ = 343.Negative base with odd exponent, hence the solution is negative and given as follows:
[tex]-\frac{125}{343}[/tex]
More can be learned about exponential properties at https://brainly.com/question/25263760
#SPJ1
Two consecutive angles of a parallelogram measure 3 x+42 and 9 x-18 . What are the measures of the angles?
A. 13,167
C. 39,141
B. 58.5,31.5
D. 81,99
Answer:
enjooooooooooooyyyyyyyyyyy
i really hate math soo pwease help
3 Answers: Choice A, Choice B, Choice E
=========================================================
Explanation:
We have four copies of x in the original expression. So that accounts for the 4x. In other words, 4x = x+x+x+x. Multiplication is used for repeated addition.
Also, the other terms add to 15+5+15+5 = 20+20 = 40
Therefore, we end up with 4x+40 from choice A.
-----------------------------
Once we get to 4x+40, we can factor out 2 from it like so
4x+40
2*2x + 2*20
2(2x+20) which is choice B
I used the distributive property to factor. That rule is a(b+c) = ab + ac
-------------------------------
Choice C is not one of the answers. We can determine this fairly quickly by noting that the expression in choice C talks about a quadratic, but the original expression given to us is linear.
Choice D is a similar story to choice C.
--------------------------------
Choice E is another answer
This is because we have two copies of (x+15), so that gives 2(x+15)
We also have two copies of (x+5) to get 2(x+5)
Question : Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number ??
please write a thought out good answer ! T-T
NO LINKS.
Answer:
Down Here ↓↓↓↓
Step-by-step explanation:
Hello!
Let's take an example: x > y
The rule that we currently have would state that -x < -y.
Now, let's substitute values for x and y. Say x is 5 and y is -3.
5 is greater than -3 (x > y), but -5 would be less than -3. (-x < -y). Hence the inequality would be true.
We can also take a look at this graphically on a number line. Turning a number negative is simply reflecting it over value 0.
As you can see, flipping the signs would change the values. To keep the inequality accurate, we reverse the inequality sign as well.
37 centimeters is the same as how many inches? Hint: 1 cm ≈ 0.39 in Round your answer to the nearest tenth. HELP PLEASE!!!
37 centimeters is equal to approximately 14.5 inches.
In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equal to 1/12 of a foot or 336 yards.The International System of Units (SI) uses centi as the prefix for a factor of 1/100, making a centimeter (international spelling) or centimeter (American spelling) (SI symbol cm) equivalent to one tenth of a meter. In the now-outdated centimeter-gram-second (CGS) system of units, the centimeter served as the fundamental unit of length.We know that 1 cm is equal to 0.39 inches.
So to convert 37 cm to inches we multiply 37 with 0.39
37×0.39=14.47 inches
The length is approximately 14.5 inches (rounded to the nearest tenth)
To learn more about centimeter and inches visit:
https://brainly.com/question/12725233
#SPJ9
Answer:
2.7
Step-by-step explanation:
Convert centimeters to inches by multiplying:
70.39=2.73
So, 7 centimeters is approximately 2.73 inches.
Now round to the nearest tenth.
2.73 → 2.7
7 centimeters is the same as approximately 2.7 inches.
A customer wants to buy 0.3 pounds of mulch that cost $7.30 per pound. if the customer has a coupon for $0.50 off the total cost, how much will they pay for the mulch?
Answer: The customer will pay 1.69$ for the mulch.
Step-by-step explanation:
7.30 = 1 Pound
0.3 = 3/10
3/10 x 7.30 or 3/10 of 7.30 = 2.19
2.19
2.19 = without coupon
1.69 = with coupon.
The total with 50 cents off is 1.69$.
please give the correct answer this is for a grade
Please help due today
1-2x+5=4x-3 i need help
Answer:
X=4/3
Step-by-step explanation:
Answer:The answer would be x=2/3
Step-by-step explanation:Bring 4x over to one side with -2x and bring 5 and 1 over to he other side with -3 and the equation becomes -2x-4x=-3-5-1 then you simplify and it becomes -6x=-9 then you divide and the answer would be x=2/3
PLEASE HELP
later Paul drew 2 solid figures and 5 plain figures. in his drawing what was the ratio of solid figures to plain figures
Answer:
2:5
Step-by-step explanation:
WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.
PLease help me on this
Answer:
C. [tex]2^{3} x3^{2}[/tex]
Step-by-step explanation:
[tex]2^{3} x3^{2}[/tex]
[tex]2^{3} =8[/tex]
[tex]=8x[/tex]·[tex]3x^{2}[/tex]
[tex]3^{2} =9[/tex]
[tex]=8x[/tex]·[tex]9[/tex]
Then multiply 8 · 9 = 72
[tex]=72[/tex]
hopefully this helps you !
Rick's chore list shows that he is responsible for washing the dishes after dinner this week. Last night, he washed 4 plates in 2 minutes. Tonight, his grandparents are coming to dinner, and Rick will wash 6 plates.
If he washes plates at the same rate, how many minutes will it take Rick to wash the plates tonight?
Answer:
3 minutes
Step-by-step explanation:
there are many ways to answer this question you can on it later but im going to write the easiest here
4 plates is 2 minutes
find how many minutes for one plate and times it by 6
2 ÷ 4 = 1/2 minutes or 30 seconds
therefore;
1/2 × 6 = 3 minutes
please rate brainliest if helps
certain clock is losing time. The clock loses 2/15 seconds every minute. How many seconds does the clock lose in one hour?
Answer:
8 minutes
Step-by-step explanation:
The formula is (2x60)/15=8.
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 1'10 1/2". what total length will she need if she is planning on making four chairs?
The total length will she need if she is planning on making four chairs is 42 inches.
How to calculate the value?It should be noted that the chair calls for six pieces that are 10 1/2" , therefore, the total length will she need if she is planning on making four chairs will be:
= 10 1/2 × 4
= 10.5 × 4
= 42 inches.
The total length is 42 inches.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Complete question
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 10 1/2". what total length will she need if she is planning on making four chairs?
Use place value ans distributive property to match each multiplication expression with an equivalent expression.
Using the distributive property, the equivalent expressions are given as follows:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).What is the distributive property?The distributive property is when the outside term of an expression multiplies all the inside terms, keeping the inside operations, as the following example:
a(b + c) = ab + ac.
For this problem, the numbers can be decomposed as follows:
937 = 900 + 30 + 7.143 = 100 + 40 + 3.821 = 800 + 20 + 1.209 = 200 + 0 + 9.342 = 300 + 40 + 2.Applying the distributive property, the equivalent expressions are:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).More can be learned about the distributive property at https://brainly.com/question/2807928
#SPJ1
Isaac bought two DVD's and spent over 50 . Use indirect reasoning to show that at least one of the DVD's he purchased was over 25 .
By assuming that both DVD's cost $25 or less, we will reach an absurd. In that way we conclude that at least one of the two DVD's costs over $25.
How to use the indirect reasoning?
We know that Isaac bought two DVD's and spent over $50.
Let's define the variables:
x = cost of the DVD 1y = cost of the DVD 2Because the cost is over $50 we can write the inequality:
x + y > $50
Here we want to prove that at least one of the two DVD's costed over $25, now let's find an absurd here, let's assume that neither of the DVD's costed over $25, then we can write:
x ≤ $25
y ≤ $25
So we have a set of 3 inequalities:
x + y > $50
x ≤ $25
y ≤ $25
Now, the maximum values that x and y can take are $25, if we use these values in the first inequality we will get:
$25 + $25 > $50
$50 > $50
So this is an absurd, this means that we can't assume that neither of the DVD's costs over $25, then we conclude that at least one of the DVD's costs over $25, which is what we wanted to prove.
If you want to learn more about indirect reasoning.
https://brainly.com/question/860494
#SPJ1
What is the total area of this figure (I am in middle school and a 7th grader just for notes)
Answer:12?
Step-by-step explanation:
A=L x W
Answer:
the total area is 20
Step-by-step explanation:
next time you can just count the boxes that's how I answer these types of questions.
Evaluate the expression for the given values.
m² +7 n if m=4 and n=-2
Answer: -82
Step-by-step explanation: Substitute the values then do order of operations
-3-{3-[-3(2+4)-(-2)]}
Answer:
-22
Step-by-step explanation:
Let's solve the problem,
→ -3 - {3 - [-3(2 + 4) - (-2)]}
→ -3 - {3 - [-18 + 2]}
→ -3 - {3 + 16}
→ -3 - 19 = -22
So, the answer is -22.
please help very important please
Answer: 7/2
Step-by-step explanation:
The sum of 2 integers is 7 and the sum of their squares is 37 what is the integers
Answer:
[tex]1[/tex] and [tex]6[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denote one of the integers. Since the two integers add up to [tex]7[/tex], the other integer would be [tex](7 - x)[/tex].
The sum of the squares of these integers is [tex]37[/tex]. In other words:
[tex]x^{2} + (7 - x)^{2} = 37[/tex].
Expand [tex](7 - x)^{2}[/tex] using binomial expansion. Simplify and rewrite this equation and solve for [tex]x[/tex].
[tex]2\, x^{2} - 14\, x + 12 = 0[/tex].
[tex]x^{2} - 7\, x + 6 = 0[/tex].
Using the quadratic formula or factorization, [tex]x = 1[/tex] or [tex]x = 6[/tex]. Thus, the two integers are [tex]1[/tex] and [tex]6[/tex].
What is the fewest number of intersection points that two planes can have?
Answer: 4 points
Step-by-step explanation:
The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.
Answer:
One line of intersection (three points of intersection)
Step-by-step explanation:
When two planes intersect, they don't form points of intersection, but they form a line of intersection.
From equation of a line,
[tex]{ \tt{ax + by + cz = 0}}[/tex]
x, y, z are points of intersection
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be _____. a. .1 b. .95 c. .05 d. .9
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.
Confidence level:
Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.
For example,
A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.
Confidence Coefficient:
Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.
For example, if you had a confidence level of 99%, the confidence coefficient would be .99.
Given,
Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.
Based on the definition,
The confidence coefficient for 90% confidence level is 0.9.
To know more about Confidence Level here.
https://brainly.com/question/22851322
#SPJ4
Two buses, bus A and bus B, both use the same bus stop. Bus A runs every 10 minutes. Bus B runs every 14 minutes. Both buses are at the bus stop at 11 am. What time will both buses next both be at the bus stop. (3 marks)
Use HCF and LCM skills to work out your answer.
Answer:
since Bus A runs every 10 minutes while Bus B runs every 14 minutes
first add the minutes to get equivalent value
=10+14
=24
the value gotten will be added to the time
=24mins+11hrs
=11:24mins
PLEASE RATE AS BRAINLIEST
what is the answer to 34^5+6%7=
Answer:
ik what you ment
this is your answer 45,435,439.87
Step-by-step explanation:
how to solve 3x-2
…………..
-8 You burn 6 grams of carbon in plenty of air: C(s) + O₂(g) →→→ CO₂ (g) a What volume of gas will form (in dm³ at rtp)? b What volume of oxygen will be used up?
a) Gas has a volume of 12 liters.
b) 12 liters of oxygen gas will be consumed during the reaction.
Step-by-step explanation:
Moles of Substances:
We measure the quantity of atoms and molecules in moles, which is equal to 6.022 ×10²³, Avogadro's number, because they are too small to be counted or weighed individually. A substance's atomic mass is multiplied by Avogadro's number to get its mass in grams.
Here, Half a mole of carbon is equal to six grams of carbon. since 12 grams make up one mole of carbon. Since carbon dioxide has the chemical formula CO2, when a mole of carbon is fully combusted, it will result in the production of a mole of carbon dioxide gas.
a) Half a mole of gas has a volume of 12 liters because one mole of gas at RTP consumes 24 liters.
b) Due to the fact that each oxygen molecule contains two oxygen atoms and each carbon dioxide molecule contains two oxygen atoms, 12 liters of oxygen gas will be consumed during the reaction.
To learn more about Moles of Substances, please click on the link:
https://brainly.com/question/20928252
#SPJ9