Answer:
-31
Step-by-step explanation:
(2×x) - (2×5) = (3×x) + (3×7)
2x-10 = 3x+21
2x-3x = 21+10
-x = 31
therefore, x = -31
Answer:
x=11
Step-by-step explanation:
2(x+5)=3(x+7)
2x+10=3x+21
3x-2x=21-10
x=11
Hope this helps! :)
Mak deposited $493.12 in a savings account that earns 3.2% simple interest. What is Mak's account balance after 13 years?
Answer:
$698.26
Step-by-step explanation:
Deposit = $493.12Interest rate = 3.2% simpleTime = 13 yearsBalance after 13 years:
493.12*(1 + 3.2*13/100) = 698.26If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.
Step-by-step explanation:
Since, K is the midpoint of JL.
[tex] \therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}[/tex]
Irrational numbers are _____ integers. sometimes never always
Answer:
Hey there!
Irrational numbers are NEVER integers. All integers are rational.
Hope this helps :)
Evaluate the expression if a = 3 over 4, b = -8, c = -2, and d = 3
Answer:
45
Step-by-step explanation:
So we have the expression:
[tex]ab^2-d[/tex]
And we want to evaluate it for a=3/4, =-8, and d=3.
Thus, substitute in these values:
[tex]=(\frac{3}{4})(-8)^2-3[/tex]
Do the exponent first. -8 squared is positive 64:
[tex]=(\frac{3}{4})(64)-3[/tex]
And 3/4 times 64 is 48:
[tex]=(48)-3[/tex]
Subtract:
[tex]=45[/tex]
If -2(3y+5)= -4, find the value of 5y.
Answer:
5y = -5
Step-by-step explanation:
-2(3y+5)= -4
Divide each side by -2
-2/ -2 (3y+5)= -4/-2
3y+5 = 2
Subtract 5 from each side
3y +5 -5 = 2-5
3y = -3
Divide by 3
3y/3 = -3/3
y = -1
5y = 5*-1 = -5
........Median vs mean?
The mean is affected by the skewness, whereas the median is not.
==================================
Let's go through the answer choices to see which are true and which are false.
A. True. The mean takes account of all the values since we sum all the values and divide by the number of values. The median only looks at the middle most value. The median does not take into account any other value. So the outliers can move wherever you want and the median will not be affected.B. False. It depends on what the context of the situation is. Both measures of center have their strengths and weaknesses. The median is only preferred if there are outliers. That way we get a sense of where the center is and know that the center isn't being pulled on by the outliers. A good example is home real estate as this problem mentions.C. False. The mean is larger than the median if the data is skewed right. Skewed right data means we have a large outlier(s) to the right side pulling the mean toward that location. An example would be having homes in some range of say 50 to 100 thousand, and then an outlier mansion would have a price of 20 million dollars. This skews the mean to be larger than it should be (when it should be somewhere between 50 and 100 thousand). Note: sometimes a trimmed mean is used instead of the medianD. False. The mean should only be used if we don't have any outliers at all. In other words, the mean should only be used if the data is not skewed left and not skewed right either. E. False. This computes the midrange and not the median. In my experience with many stats problems, the midrange doesn't really come up that often. Though I could just have a limited viewpoint of course.PLEASE HELP ME WITH THIS QUESTION
Answer:
x = -2
y = -4
Step-by-step explanation:
Graph the systems of equations. Then analyze the graph for the intersection. The point of intersection will be your solution set.
Answer:
[tex]x = -2\\y = -4[/tex]
Step-by-step explanation:
Question
[tex]\left \{ {{-2x + 2y = -4} \atop {3x + 3y = -18}} \right.[/tex]
Multiply throughout the equation to eliminate a variable:
[tex]-2x + 2y = -4[/tex] becomes [tex]-6x + 6y = -12[/tex] when multiplied by 3
[tex]3x + 3y = -18[/tex] becomes [tex]6x + 6y = -36[/tex] when multiplied by 2
Then add the values of the variables together:
[tex]-6x + 6x = 0\\6y + 6y = 12y \\-12 - 36 = -48[/tex]
And a new equation forms:
[tex]0 + 12y = -48[/tex]
[tex]y = -4[/tex]
Plug in [tex]y[/tex] to any of the previous equations to solve for [tex]x[/tex] :
[tex]-2x + 2y = -4[/tex]
[tex]-2x + 2(-4) = -4[/tex]
[tex]-2x - 8 = -4[/tex]
[tex]-2x = 4[/tex]
[tex]x = -2[/tex]
The pairs 3, 12 and 4, 9 are factor pairs of which number? A) 32 B) 36 C) 44 D) 82
Answer:
When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.
In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:
3 * 12 = 364 * 9 = 36We can factroize 36 like this: 2*2*3*3, and:
2 = 24 = 2*29 = 3*312 = 2*2*3The factor pairs belong to the number 36.
What is factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
As per the given data:
The factor pairs are as follows:
3, 12
4, 9
We have to find out that of which number these factor pair belongs.
When the factors of any number are multiplied with each other, we get that number.
For finding out the number, we need to multiply the factor pairs:
3 × 12 = 36
4 × 9 = 36
The factor pairs belong to the number 36.
Hence, The factor pairs belong to the number 36.
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Put the following equation of a line into slope-intercept form, simplifying all fractions. x + 3y =21
What is the GCF of 12 and 48
anyone know an easy way to do statistics without being complicated
Answer: Use distributive practice rather than massed practice. ...
Study in triads or quads of students at least once every week. ...
Don't try to memorize formulas (A good instructor will never ask you to do this). ...
Work as many and varied problems and exercises as you possibly can. ...
Look for reoccurring themes in statistics.
solve for h h+6/5=2
Answer:
h=0.8
Step-by-step explanation:
Steps
$h+\frac{6}{5}=2$
$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$
$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$
Show Steps
$\mathrm{Simplify}$
$h=\frac{4}{5}$
Answer:
The answer would be 2h
Step-by-step explanation:
please let this be helpful
1 If 2x+2 = 32, then x =
What is the value of this expression? [(3+5)⋅2−5]⋅3
Answer:
33
Step-by-step explanation:
[(3+5)⋅2−5]⋅3
[8·2−5]⋅3
[16−5]⋅3
11⋅3
33
Answer:
33
Step-by-step explanation:
Lets break it down. Remember PEMDAS
[(3+5)⋅2−5]⋅3
[(8)⋅2-5]⋅3 start with the parenthisis
[16-5]⋅3 multiply
[11]⋅3
33
hope this helps :)
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family ordrs several lare pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family the equation y=10x represents the relationship where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson familiies? Select two options.
Answer:
The CORRECT anser is B and D
Step-by-step explanation:
Hope this helps I just took the quiz!
A rectangular garden has a perimeter of 578 yds.
The length is one more than three times the width.
Find the dimensions of the garden.
Answer:
length = 217 ydwidth = 72 ydStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 578 yds
The statement
The length is one more than three times the width is written as
l = 1 + 3w
Substitute the expression into the above formula and solve for the width
That's
578 = 2(1 + 3w) + 2w
578 = 2 + 6w + 2w
8w = 576
Divide both sides by 8
w = 72
Substitute w = 72 into l = 1 + 3w
That's
l = 1 + 3(72)
l = 216 + 1
l = 217
Therefore the dimensions are
length = 217 yd
width = 72 yd
Hope this helps you
15 -g = 23-2g
Help me solve for “g”
Answer:
g = 8Step-by-step explanation:
15 - g = 23 - 2g
+2g +2g
15 + g = 23
-15 -15
g = 8
Answer:
g=8
Step-by-step explanation:
15-g=23-2g
g=23-15
g=8
ANSWER FAST PLZ .............
Answer:
a) T
B) WT and TZ
C) ZTU
D) YTX
E) YT and WT
F) Angle 5 - right angle
G) obtuse angle (>90)
H) acute angle (<90)
I) obtuse angle, unless it means the other side which would be a reflex angle instead (>180)
Hope this helped!
Sharonda is plotting quadrilateral PQRS on the graph below She
will plot the fourth and final vertex, S, at (9, 5) What will be the length of side PS
Answer:
7 :)
Step-by-step explanation:
Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.
What is quadrilateral?A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.
Length of side PS can be calculated using the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
P(-2, 5) = ([tex]x_1,y_1[/tex]) (the coordinate of P is gotten from the graph).
Given that,
S(9, 5) = ([tex]x_2,y_2[/tex])
PS = [tex]\sqrt{(9-(-2))^2+(5-5)^2}[/tex]
PS = [tex]\sqrt{11^2+0^2}[/tex]
PS = [tex]\sqrt{121}[/tex]
PS = 11units.
Thus, the answer is 11 units.
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7- (-11) =
I need the answer to this question
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Since two negative sign = positive sign
Therefore,
7 + 11 = 18
hope it helps
please help me with this. pre cal
Answer:
Option (2)
Step-by-step explanation:
If m(x) and n(x) are the functions inverse of each other,
Then the following condition should be fulfilled,
m[n(x)] = n[m(x)] = x
Here, m(x) = [tex]\frac{3x}{x+7}[/tex] and n(x) = [tex]\frac{7x}{3-x}[/tex]
m[n(x)] = [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}[/tex]
= [tex]\frac{21x}{7x+21-7x}[/tex]
= x
n[m(x)] = [tex]\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}[/tex]
= [tex]\frac{21x}{3x+21-3x}[/tex]
= x
Therefore, [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}=\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}=x[/tex] will be the correct option.
Option (2) will be the answer.
Taylor has 18 cents in dimes and nickels in her pocket. The number of dimes is four more than the number of nickels. How many of each coin does it have?
Answer:
Explained below.
Step-by-step explanation:
The value of different types of coins are as follows:
1 penny (p) = 1 cent
1 nickel (n) = 5 cents
1 dime (d) = 10 cents
1 quarter (q) = 25 cents
It is provided that Taylor has 18 cents in dimes and nickels in her pocket.
This is not possible.
Because the sum of any number of dime and nickel coins will always be a multiple of 5.
a·d + b·n = 10a + 5b = 5 (2a + b)
The value 18 cents can be formed as follows:
8p + d = 18 cents
3p + n + d = 18 cents
3n + 3p = 18 cents
hey do anybody know 14+18÷2×18-7
Answer:
169
Step-by-step explanation:
14 + 162 - 7 = 169
hoped this helped:)
Can anybody help me please!!!
Answer:
it's in the picture
Step-by-step explanation:
it's in the picture
A delivery truck driver charges a fixed base price of $6 for 2 miles. After 2 miles, he charges an additional $2 for every mile. After
charges an additional $4 for every mile.
Describe the cost of the delivery truck between 1 mile and 2 mies.
20
18
16
Cost (dollars)
4
9 10
Distance (miles)
A
of the delivery ticketmaddesins
Answer:
$6
Step-by-step explanation:
Between 1 and 2 miles, the charge is $6.
4 = 3/4m - 6 pls help me ASAP and check the answer
Answer:
m = 3/40
Step-by-step explanation:
4 = 3/4m - 6
m*4 = m(3/4m -6)
4m = m*3/4m + m*-6
4m = 3/4 - 6m
6m + 4m = 3/4
10m = 3/4
m = (3/4)/10
m = 3/40
check:
4 = 3/(4*3/40) - 6
4 = 3/(12/40) - 6
4 = (3*40)/12 - 6
4 = 120/12 - 6
4 = 10 - 6
Isabel needs to cut a square piece of wood with the area of 70 in.² approximate the size of the square and round to the nearest 10th of an inch
Answer: 8.4 inch
Step-by-step explanation:
To find the size of the square, just find the square root of 70. Because the area of a square is the side length squared
[tex]\sqrt{70}[/tex] = 8.3666 rounded to the nearest 10th is 8.4 inch
It’s 37 divided by 6
Answer:
[tex]6 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]37 \div 6 = 6 \: remainder \: 1 \\ = 6 \frac{1}{6} [/tex]
A pyramid has a square base that measures
3 feet on each side. The height of the
pyramid is 19 inches. What is the volume?
Answer:
Here is a solution: (since idk the length or width of the pryamid)
Step-by-step explanation:
use the solution for volume.
V=L*W*H
(V= volume
L=Length
W=Width
H=Height)
What is 45,231 written in expanded form? 2 x 10,000 + 1 x 1,000 + 3 x 100 + 5 x 10 + 4 2 x 10,000 + 3 x 1,000 + 1 x 100 + 4 x 10 + 5 3 x 10,000 + 4 x 1,000 + 5 x 100 + 1 x 10 + 2 4 x 10,000 + 5 x 1,000 + 2 x 100 + 3 x 10 + 1 x 1
Answer:
45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]
Step-by-step explanation:
Given the number:
45,231
We have To write the given number in the expanded form.
Solution:
First of all, let us write the different digits of the number:
Unit's digit = 1
Ten's digit = 3
Hundred's digit = 2
Thousand's digit = 5
Ten thousand's digit = 4
Unit's digit has to be multiplied with 1.
Ten's digit has to be multiplied with 10.
Hundred's digit has to be multiplied with 100.
Thousand's digit has to be multiplied with 1000.
Ten Thousand's digit has to be multiplied with 10000.
And then they have to be added so that the number gets formed.
45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]