Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
Write the expression represented by the following:
The quotient of a number and 7, increased by 5
Answer:
x (divistion symbol) 7 + 5
Step-by-step explanation:
Evaluate 13 + 6/y when y = 6
Answer: 14
Step-by-step explanation: According to PEMDAS you do division first so if y=6 then you do 6/6=1. Then add 13+1
Answer:
14
Step-by-step explanation:
13 + 6/y
13 + 6/(6)
13 + 1
14
1. What is the value of w?
(1 point)
w
30°
n
73
07
O 3.5
073
O 14
E
Answer:
17=.y+1. 0.14
Step-by-step explanation:
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
Answer:
495 different waysStep-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?
Answer:
3808
Step-by-step explanation:
Translate this phrase into an algebraic expression.
7 more than twice Jose's height
Use the variable ; to represent Jose's height.
Answer:
2x+7
Step-by-step explanation:
Let's mark Jose's height with x. Of course, you can use any other letter or symbol.
We now need to express another value through this x. That other value we can mark with y.
This y is said to be 7 more then twice Jose's height. Jose's height is x, as we've already said, so:
y = 7 + 2•x (seven more than twice x)
That means that y = 2x+7.
P and q are integers that are multiple of 5. Which of this
not true about p and q
(a) P + q is divisible by 5
(b) P –q is divisible by 10
(c) P + q is divisible by 20
(d) P + q is divisible by 25
Answer:
we conclude that the only option (a) is true.
Step-by-step explanation:
As we know that the multiples of 5 are the numbers which we get when we multiply by 5.
i.e.
5×1=5
5×2=10
Here, 5 and 10 are multiples of 5.
Let p and q are integers that are multiples of 5.
Let us consider
p=5
q=10
so
p+q=5+10
= 15
A number is divisible by 5 if it ends in 5 or 0.
i.e. 15/5 = 3
so p+q is divisible by 3 as there is no remainder left.
Therefore, option (a) is true.
Checking the other options:
(b) P –q is divisible by 10
As
p=5
q=10
so
p-q=5-10
= -5
Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.
As -5 is not divisible by 2.
So, option b is NOT true.
(c) P +q is divisible by 20
As
p=5
q=10
so
p-q=5+10
= 15
Divisibility rule of 20 implies that the last two digits of the number are either 00 or divisible by 20 .
Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.
(d) P + q is divisible by 25
As
p=5
q=10
so
p-q=5+10
= 15
p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.
so, option d is NOT correct.
Therefore, we conclude that the only option (a) is true.
i don't really understand this problem
Complementary angles add up to 90 (there should be a right angle in the diagram)
x+20+x+10 needs to equal 90 where x=30
Left angle is measured 30+20=50 degrees
Angle on the right is measured 30+10=40 degrees
Calculate the following speed Distance of 20 meters, time is 2 seconds.
Answer:
10 meters per sec
Step-by-step explanation:
Answer:
10 meters per seconds.
Step-by-step explanation:
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths
Which comparison is true? Use the number line to help you.
A number line going from negative 6 to positive 6 in increments of 1.
Negative 5.8 > Negative 5 and three-fourths
3.6 4.4
Answer:
Its B.
Step-by-step explanation:
It said so.
On the grid, draw the image of a shape R after the transformation represented by the matrix (0 -1
(1 0)
............ What!?!?!??
Each big square below represents one whole,
What percent is represented by the shaded area?
%
Solve the inequality -5(x-7)<15 algebraically for x
Answer:
x>4
Step-by-step explanation:
trust
(HELP QUICK) You are most likely to encounter an irrational number when you’re
A budgeting with money.
B finding the area of a circle.
C finding the area of squares.
D buying food that has a cost per pound.
Answer:
B; finding the area of a circle
Step-by-step explanation:
You are most likely to encounter an irrational
number when you are finding the area of a circle
The reason is because, to find the area of a circle, we need the number pi
Mathematically as we all know, the number pi is a very popular irrational number
Since we cannot find the area of a circle without it, then we can conclude that we are most likely to come in contact with an irrational number when we find the area of a circle
1
y
X
E
21
Which equation matches the graph?
OA. y = kx + 4
OB. y = 3.5 - 4
Oc. y = ks - 4
Answer:
B. [tex] y = 3x - 4 [/tex]
Step-by-step explanation:
First, using two points (0, -4) and (3, 5), find slope:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 [/tex]
Slope, m = 3
Next, determine the y-intercept, b.
The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.
From the graph given, y-intercept, b, is -4.
Substitute b = -4 and m = 3 into [tex] y = mx + b [/tex].
The equation would be:
✔️[tex] y = 3x - 4 [/tex]
A statistic is a characteristic of a sample while a parameter is usually an unknown population parameter?
True
False
True
Explanation:A statistic is a characteristic of a sample, a portion of the target population. A parameter is a fixed, unknown numerical value, while the statistic is a known number and a variable which depends on the portion of the population.
Parameter Definition: a quantity or statistical measure that, for a given population, is fixed and that is used as the value of a variable in some general distribution or frequency function to make it descriptive of that.
Population: The mean and variance of a population are population parameters.
Statistic Definiton: A statistic or sample statistic is any quantity computed from values in a sample that is used for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average of sample values is a statistic.
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
Answer:
Step-by-step explanation:
14
x-3/18=12/9
what is the answer? It is proportions.
Answer:
x=3/2
Step-by-step explanation:
Answer:
x=[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the mean repair cost for the refrigerators. Assume the population is approximately normal.
A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
How to silver (10 points)
Answer:
there
Step-by-step explanation:
10.
TP = 20-12
TP = 8
SP = SQ
SP = 20
RQ = TP
RQ = 8
S-------15.5
20------12
12s = 310
s = 310/12
s =~25,8
11.
75--------46
100-------b
75b = 4600
b = 4600/75
b =~ 61,3
l² = 61,3² + 46²
l² = 3757,69 + 2116
l² = 5873,69
l = [tex]\sqrt{5873,69}[/tex]
l =~ 76,7
4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?
Solve x2 + 2x + 7 = 0 using the Quadratic Formula
The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
what is Quadratic Equation?A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
x² + 2x + 7 = 0
now, using Discriminant Method
D= √b² - 4ac
D= √4- 4(1)(7)
D= √-24
D= 2i√6
Now, x= -b± D/2a
x= -2 ± 2i√6/2
x= -2 + 2i√6/2 or x= -2 - 2i√6/2
x= -1 + i√6 or x= -1 - i√6/2
Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
Learn more about quadratic equation here:
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Yasir is saving up to buy a new phone. When he first decided to start saving, he had 25% of the cost already. After saving $90 more, he has 40% of the cost. Write and solve an equation to find c, the cost of the phone.
which statement best describes the range of f(x)=-2
Each drink cost d dollars. Each snack cost s dollars. The Blake family buys 3 drinks and 2 snacks for $12. The reese family buys 2 drinks and 4 snacks for $16. What is the cost of one drink at the concession stand?
total cost for the blake family :
3d + 2s = 12 — (1)
total cost for the reese family :
2d + 4s = 16 — (2)
multiply equation 1 by 2 so that we can cancel out s later :
(1) x 2 : 2(3d+2s)=2(12)
6d+4s = 24 — (3)
using simultaneous equations,
(3) - (2)
(6d+4s) - (2d+4s) = 24-16
6d-2d+4s-4s = 8
4d = 8
d = 2
the cost of one drink is $2.
PQR is a right-angled triangle.
Work out the size of angle PQR.
Give your answer correct to 1 decimal place.
Total marks: 3
Answer:
67.4
Step-by-step explanation:
In picture listed above.
Brainliest Appreciated.
The measure of the angle PQR will be 67.4 degree.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Sides of a triangle are 13 cm , 5 cm, and 12 cm.
And, The angle PRQ = 90 degree.
Now,
Find the measure of angle PQR as;
The triangle PQR is a right triangle and PQ = 13 cm and PR = 12 cm.
Let measure of an angle PQR = θ
So, We can formulate;
sinθ = PR/PQ
sinθ = 12/13
θ = 67.4 degree.
Thus, The measure of the angle PQR will be 67.4 degree.
Learn more about the triangle visit:
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WILL MARK BRAINLIEST FOR FIRST RIGHT ANSWER!!! 15 POINTS!!
Answer:
third one
Step-by-step explanation:
5 / 6 = x / 24 . What is the number for the letter x ?
Answer:
20
Step-by-step explanation:
5 X
6 24
6*4=24
so... 5*4=x
x=20
brainlisn’t please
Answer: 20
Step-by-step explanation:
Set up a proportion:
[tex]\frac{5}{6} = \frac{x}{24}[/tex]
Divide the larger denominator by the smaller one.
[tex]24[/tex] ÷ [tex]6 = 4[/tex]
Now, multiply 4 by the numerator we already have.
[tex]\frac{5}{y}[/tex] times [tex]\frac{4}{y}[/tex] = [tex]\frac{20}{y}[/tex]
Now, add the denominator back.
You get [tex]\frac{20}{24}[/tex]. Hope this helps you!
2y/5-y/4=-3 what is the common denominator
Answer:
20
Step-by-step explanation: