Answer:
x = 8 3/6
Step-by-step explanation:
6(x+4) = 75
6X+24 = 75
-24 = -24
6x -0 = 51
6x/6 = 51/6
x = 8 3/6
The first step in solving equation is divide by 6 both side and x = 8.5.
What is simplification?To simplify simply means to simplify something. Simply or simplification in mathematics refers to simplifying an expression, fraction, or problem. By writing the fraction in its simplest or lowest form and canceling all common factors from both the numerator and denominator, it simplifies fractions and makes the problem easier to solve.
Given 6(x + 4) = 75
divide both side by 6
(6(x + 4))/6 = 75/6
x + 4 = 12.5
subtract 4 from both sides
x + 4 - 4 = 12.5 - 4
x = 8.5
Hence value of x is 8.5 and first step in solving the equation is divide by 6.
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What is the solution to the inequality 12x < 252
Answer:
x < 21
Step-by-step explanation:
Given
12x < 252 ( divide both sides by 12 )
x < 21
Which sequence of transformations confirms congruence by mapping shape I onto shape II?
A. a reflection across the x-axis and then a translation 15 units left
B. a 90° clockwise rotation about the origin and then a translation 25 units up
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left
D. a 180° rotation about the origin and then a translation 10 units right
Answer:
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.
Step-by-step explanation:
See the diagram attached to the question.
We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.
The correct option is Option C.
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)
Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:
[tex]n(AxB) = n(A) * n(B)[/tex]
Here
[tex]n(A) = 5\\n(B) = 5[/tex]
So,
[tex]n(AxB) = 5*5 = 25[/tex]
Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
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The value of n(AxB) is 25
Set theoryGiven the following sets
A= {a,b,c,d,e} and let B= {1,2,3,4,5}, we are to determine n(AxB)
n(A) = 5 (number of elements in the set)
n(B) = 5
Get the cardinality of n(AxB)
n(AxB) = n(A) * n(B)n(AxB) = 5 * 5n(AxB) = 25Hence the value of n(AxB) is 25
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Can someone please help me with this 7th grade math homework
Answer:
Step-by-step explanation:
i honestly dont even knw but i hope u get it right
The number −6 is 2 more than an unknown number. Find the unknown number.
Answer:
-8
Step-by-step explanation:
if its 2 more then [tex]-6-2=-8[/tex]
so if you think the opposite negative 8 plus 2 is -6
Plzzz show your work to this problem
Answer:
answer is attached in the image below
Add parentheses to make this 15-6-3=12
Answer:
15-(6-3) = 12
Step-by-step explanation:
15 - (6-3) =
Solve inside the parenthesis
15-3=12
1. 72% of the students in Math 6 at AZVA are currently passing mastering their lessons. If 324 students are currently mastering their math lessons, how many students are in Math 6?
a) Use a percent equation OR set up a proportion that you will use to solve the problem.
Percent equation
a) Solve the problem. Show your work. 0.72x = 324 x = 324 / 0.72 x = 450 students
2. 2. A bag of dog food weighs 20 lb. 15% of the weight is oats.
a) Set up an equation OR proportion to find the weight of the oats in the dog food.
b) What is the weight of the oats in the dog food? Show your work.
3. Some students were asked what kinds of animals they have at home. The results are below:
(a) List the animals in order of popularity from most popular to least popular.
(b) I estimated that 250 students were interviewed. Based on my estimate, how many students have an “other” pet? Show your work.
(c) If 75 students have cats, was my estimate of 250 students correct? If not, what is the actual number of students interviewed? Explain.
THE CHART IS FOR NUMBER THREE RIGHT AFTER IT SAYS BELOW. IF YOU PUT ANY COMMENT THAT DOESN'T ANSWER MY QUESTION I WILL DELETE THE ANSWER AND TAKE AWAY THE POINTS I GAVE YOU . IF YOU ANSWER RIGHT I WILL GIVE YOU 109 POINTS I WILL ALSO MARK BRAINIEST AND PUT THANKS OVER UR NAME
Answer:
1. a. 72/100 = 324/x
72x = 32,400
b. 450 students are in Math 6
2. a. o = 3b
b. o = 3 pounds
3. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. 20 students
c. If 75 students have cats, the estimate of 250 students isn't correct.
The actual number of students interviewed is 375.
Step-by-step explanation:
1. a. Let's use the following equation to solve the question:
x = Students that are in Math 6
72/100 = 324/x
72 * x = 324 * 100
72x = 32,400
b. Let's solve the equation, as follows:
x = 32,400/72
x = 450
450 students are in Math 6
2. a. The equation is:
o = 0.15 *20b
o = 3b
where, o = weight of oats in pounds and b = number of dog food bags
b. Let's find out the weight of the oats in one dog food bag, using our equation:
o = 0.15 *20b
o = 0.15 *20 * 1
o = 3 pounds
3. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. If 250 students were interviewed, the 8% who answered "other" are:
8% of 250 = 0.08 * 250 = 20 students
c. If 75 students have cats, the estimate of 250 students isn't correct.
The 20% of 250 is 50, not 75.
0.2 * 250 = 50
The actual number of students interviewed is:
x = Actual number of students interviewed
75/x = 20/100
20x = 7,500
x = 7,500/20
x = 375
The actual number of students interviewed is 375.
2x-3y=-11
2x+y=9
What is the answer for this substitution method
Answer:
(-4,17)
Step-by-step explanation:
2x-3y=-11
2x+y=9
solve the equation
x=-4
2x+y=9
substitute the value of x into an equation
2×(-4)+y=9
solve the equation
y=17
A possible solution is
(-4,17)
check the solution
2×(-4)-3=-11
2×(-4)+17=9
simplify
-11=-11
9=9
the order pair is a solution
answer is (-4,17)
To solve the given system using the substitution method, solve the second equation for y, substitute into the first equation, and solve for x. Substituting x back into the expression for y gives the solution x = 2 and y = 5.
Explanation:To solve the system of equations using the substitution method, we have to express one variable in terms of another from one of the equations and then substitute it into the other equation. For the given system of equations:
2x - 3y = -112x + y = 9First, we solve the second equation for y:
y = 9 - 2x
Now we substitute this expression for y into the first equation:
2x - 3(9 - 2x) = -11
2x - 27 + 6x = -11
8x - 27 = -11
8x = 16
x = 2
After finding x, we can substitute x back into y = 9 - 2x to find the value of y:
y = 9 - 2(2)
y = 9 - 4
y = 5
The solution to the system of equations is x = 2 and y = 5.
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40 POINTS !!!A poll shows that 70% of teenagers in the United States use social media. A random sample of 30 teenagers showed that 90% of them use social media. A number generator was used to simulate 30 samples from a population in which 70% of teenagers use social media. The results are shown in the dot plot.
WHAT IS THE CHANCE OF GETTING A SAMPLE PROPORTION OF 90% OR GREATER
Answer:
0.20
Step-by-step explanation:
0.20
What is the sum of the EXTERIOR angles of an octagon?
Answer:
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.
Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.
This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
The sum of the exterior angles of any polygon, including an octagon, is always 360 degrees. This is true regardless of the polygon's number of sides, because when one traces around the polygon, the point will have made one full revolution, or 360 degrees.
Explanation:
In mathematics, the sum of the exterior angles of any polygon, not just an octagon, is always 360 degrees. This applies regardless of the number of sides the polygon has. The concept comes from observing how a point moves as one traces around the polygon: during the complete circuit, it will have made exactly one full revolution, which is 360 degrees in total. Just as a circle consists of 360 degrees, this concept applies to polygons and their exterior angles as well.
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Find the value for the following determinant.
2
10
-2
Answer:
10
Step-by-step explanation:
1*4 -(3*(-2))=4-(-6)=4+6=10
which equation represents grants path?
A. y=2-4x
B. y=4-x/2
C. y=6-x/4
D. y=8-2x
Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
Answer:
B)
Step-by-step explanation:
There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer matches during the tournament by rounding the larger number to the nearest ten.
The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.
Explanation:The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.
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Final answer:
The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.
Explanation:
To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.
8 matches/day × 20 days = 160 matches
Therefore, an estimated 160 soccer matches will be played during the tournament.
Given this function: f ( x )=−2cos(4 πx ) Find the following:
Period = Equation of the mideline:
Maximum = Minimum =
Answer:
Period =½
Equation of midline, y=0
Maximum =2
Minimum=-2
Step-by-step explanation:
The given function is
[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]
The period is given by:
[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]
The equation of the midline is y=0 since there is no vertical shift
The amplitude of this function is 2 so the range is -2≤y≤2.
Hence the maximum value is 2 and minimum value is -2
An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?
Answer:
The percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
Step-by-step explanation:
i.) the apartment complex has a total of 175 units.
ii.) 154 units are occupied.
iii.) therefore the number of unoccupied units is = 175 - 154 = 21 units.
iv.) the percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Gi sells 18 televisions with extended warranties, he earns $ 1 ,260. How much is the fixed amount Gi earns for each television? PLZZ HELP :)
Answer:
$50
Step-by-step explanation:
Simple math
Extended warranty don’t count so gotta take that out that’s be 20x18=360 1260-360=900 now divide 18 tvs from that and u get 900/18=50
To determine the fixed amount Gi earns for each television, a simple algebraic equation is set up and solved to find that he earns $ 50 per television without the extended warranty.
Explanation:To solve for the fixed amount Gi earns for each television without the extended warranty, we can set up an equation.
Let's call the fixed amount $F. Each television with an extended warranty earns Gi an additional $ 20, so for each of those televisions, he earns $F + $20. If he sells 18 televisions with extended warranties,
the total amount he earns can be represented by 18($F + $ 20), which equals $ 1,260 according to the question.
We can create the following equation to find the fixed amount $F:
18($F + $ 20) = $ 1,260
To solve for $F, divide both sides of the equation by 18:
$F + $ 20 = $ 70
Then, subtract $ 20 from both sides to isolate $F:
$F = $ 50
So, the fixed amount Gi earns for each television is $ 50.
(SAT Prep) Find the value of x in each of the following exercises:
QUICKLY PLEASE JIMGRANT1 IF YOU WOULD PLEASE HELP.
Answer:
x=120°
Step-by-step explanation:
Let us draw a third horizontal line through x, parallel to the two parallel lines.
This line divides angle X into A and B as shown.
By alternate interior angle theorem, angle B=50°
and
angle A=70°
We know that: A+B=x
Therefore x=70°+50°=120°
Answer:
x=120 degrees
Step-by-step explanation:
1. 70+50=120
I get it its simple but its correct i do RSM
WILL MARK BRAINLIEST!!!
What is the value of k?
A. −5
B. −3
C. 3
D. 5
Answer:
B. -3.
Step-by-step explanation:
If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.
1 -> -2
k = -3.
Answer:
B. -3
Step-by-step explanation:
Because I did the unit test
12 ones 1 tens and 7 hundreds
Answer: 722
Step-by-step explanation:
Add 700, 10, and 12. Your answer added altogether is 722.
PLZZ HELP Which expression is the factored form of −1.5w+7.5 ?
−1.5(w+5)
1.5(5+w)
1.5(w−5)
−1.5(w−5)
The right answer is Option 4.
Step-by-step explanation:
Given expression is;
-1.5w+7.5
To factorize this expression, we will first take -1.5 common to make w positive.
[tex]-1.5(w-5)[/tex]
Because 5 multiplied by 7.5 divided by -1.5 is -5.
Therefore;
The expression is factored form is -1.5(w-5).
The right answer is Option 4.
Keywords: subtraction, addition
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The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.
Explanation:The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.
Factoring out −1.5, we get:
−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)
Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).
what's the answer for 13x-37+2x+13
Answer:
11x+50
Step-by-step explanation:
Answer:
15x - 24
Step-by-step explanation:
How to simplify (5+4)x2+4
AnsWER: 22
Step-by-step explanation: (5+4)X 2+4
9X2+4
18+4
22
#5 Find the unit rate of the
situation below:
You can drive 80 miles on 5
gallons of gas.
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
1
-1
3/5
-5/3
Answer:
-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-1 - 4)/(2 + 3) = -5/5 = -1
answer is -1
Factorise 3x^2+13x-10
Answer: (3x-2)(x+5)
Hope this helps.
The correct answer for the factorization of [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
Given expression:
[tex]3x^{2} +13x -10[/tex]
a: The coefficient of [tex]x^{2}[/tex]
b: The coefficient of linear term variable.
c: The constant term.
In given question:
a= [tex]3x^{2}[/tex] , b =[tex]13x[/tex] , c = [tex]-10[/tex]
To factorize,
Split the middle term:
Find two numbers that multiply to ac (product of the coefficients of [tex]x^{2}[/tex] and the constant term) and add up to b (coefficient of [tex]x[/tex]).
ac = [tex]3*-10 = -30[/tex]
b = [tex]13[/tex]
The two numbers are:
[tex]15[/tex] and [tex]-2[/tex] because [tex]15 * -2[/tex] = [tex]-30[/tex] and [tex]15+(-2) = 13[/tex].
Rewrite the middle term using the two numbers found:
[tex]3x^{2} +15x-2x -10[/tex]
Simplify:
[tex]3x(x^{} + 5x)-2(x+5)[/tex]
[tex](x+5)(3x-2)[/tex]
The factored term of equation [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
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If a number is a multiple of 3, it is a multiple of 12.
Step-by-step explanation:
The numbers which are multipe of 3:
3, 6, 9, 12, 15, 18, 21, 24, ......
The numbers which are multipe of 12:
12, 24, 36, 48, ......
The number is multiple of 12 is also multiple of 3 but the number is multiple of 3 the number may be multiple of 12 or may not be multople of 12.
Thus, If a number is a multiple of 3, it is not necessary to a multiple of 12.
Stephanie works as a waitress and earns $4.50 an hour. Stephanie's last paycheck was $150. She earns $60 in tips in addition to her hourly pay. Write an equation the represents this situation. How many hours did Stephanie work? Paragraph Please!!!!!!!!!!!
Stephanie worked for 33 hours 20 minutes.
Explanation:
Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.
Total hours worked = Total money earned / Money earned for an hour
= $150 / $4.50 = 33.33 hours.
Step 2; We need to convert the 33.33 hours into hours and minutes.
We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.
Answer:
20 hours
Step-by-step explanation:
She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:
60 + 4.50t
For some t, the total is $150
150 = 60 + 4.50t
90 = 4.50t
t = 20
factor the expression below x^2-16x+64
Answer:
(x - 8)^2
Step-by-step explanation:
Factor the following:
x^2 - 16 x + 64
The factors of 64 that sum to -16 are -8 and -8. So, x^2 - 16 x + 64 = (x - 8) (x - 8):
(x - 8) (x - 8)
(x - 8) (x - 8) = (x - 8)^2:
Answer: (x - 8)^2
What's an equation for 12 less than a number x is 19
Final answer:
Explaining how to create an equation for a specific scenario where 12 is subtracted from a certain number to equal 19.
Explanation:
An equation for 12 less than a number x is 19:
Define the variable: Let x be the number.
Set up the equation: x - 12 = 19.
Solve for x: x = 19 + 12 = 31.