Answer:
x=-2
Step-by-step explanation:
Check out the image. It says it all. If you still don't understand then there's some lovely lessons on Khan academy explaining this. :)
Answer:
[tex]\boxed {x = -2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]-5x - 4 = 3x + 12[/tex]
-Take [tex]3x[/tex] and subtract it from [tex]-5x[/tex]:
[tex]-5x - 4 - 3x = 3x - 3x + 12[/tex]
[tex]-8x - 4 = 12[/tex]
-Add [tex]4[/tex] to both sides:
[tex]-8x - 4 + 4 = 12 + 4[/tex]
[tex]-8x = 16[/tex]
-Divide both sides by [tex]-8[/tex]:
[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]
[tex]\boxed {x = -2}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-2[/tex].
find the coordinates of point S On QR such that the ratio of QS to SR is 1:3 Q(2,5) R(-2,-3)
Answer:
slope or what y2-y1/x2-x1 use the formula
The coordinate of point S such that QS to SR is 1:3 will be (1,3).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the coordinate Q(2,5) and R(-2,-3)
The intersection ratio is 1 over 3
The coordinate of point S is given by
x = [1(-2) + 3(2)]/(1+3) ⇒ x = 1
y = [1(-3) + 3(5)]/(1+3) ⇒ y = 3
Hence "The coordinate of point S such that QS to SR is 1:3 will be (1,3)".
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51/8 times 17/4and simplified
Answer:
27 3/32
Step-by-step explanation:
Answer:
It's 30 27/28
Step-by-step explanation:
If you multiply 51*17 and 7*4 you get 867/28 which equals 30 27/28
Jill grew 5/8 of an inch last year. This year she has grown 1 1/4 inches. How much has she grown in all?
Answer:In all Jill has grown 1 7/8 inches
Step-by-step explanation:
Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.
The maximum number of apples that she can buy is 7.75.
We are given that:
- Apples cost $2 each.
- Mangos cost $1.50 each.
- Mia has $20 to spend.
- Mia must buy no less than 9 apples and mangos altogether.
- Mia decided to buy 3 mangos.
Now,
we can write the following system of equations:
[tex]$\begin{cases}2a + 1.5m \leq 20\\a + m \geq 9\\m = 3\end{cases}$[/tex]
Substituting $m = 3$ into the second equation, we get:
[tex]$a + 3 \geq 9 \Rightarrow a \geq 6$[/tex]
So, Mia must buy at least 6 apples.
To determine the maximum number of apples that she could buy, we can substitute m = 3 into the first equation and solve for a:
[tex]$2a + 1.5(3) \leq 20 \Rightarrow a \leq \frac{20 - 4.5}{2} = 7.75$[/tex]
Therefore, by equation answer will be 7.75.
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If the area of a square is 33 square inches, which is greater: the length of a side of the of a side of the square to the nearest tenth of an inch or the square root of 40?
Answer:
square root of 40 is greater than side of the square
Step-by-step explanation:
First we find square root of 40
[tex]\sqrt{40} = 6.325[/tex]
Now
given
area of a square is 33 square inches
we know area of square is side square
area of square = [tex]side^2[/tex]
[tex]side^2 = 33\\\sqrt{side^2} = \sqrt{33}\\side = 5.745[/tex]
Thus, we see length side of square is 5.7 inches
and square root of 40 is 6.325
since
6.325 > 5.7
hence square root of 40 is greater
Answer:
40
Step-by-step explanation:
solve for x 3/2 + 1/2 x = 2X
Answer:
x=1
Step-by-step explanation:
3/2+ 1/2= 2x
2=2x
then u swap the sides
2x=2
divide both sides by 2
x=1
The same vocabulary test with 50 questions is given to 600 students from 5th to 10th grade and the number of correct responses is collected for each student in this group. The interquartile range is 40 correct responses. What would a box plot look like for the results of the vocabulary test?
Answer:
Please find attached the required box plot, which is described in the following section
Step-by-step explanation:
The boxplot will have values, due to the age difference of the test takers, which can be presented as follows;
50, 49, 46, 44, 35, 24, 14, 7, 6, 5
Therefore, we have the following 5 values as shown here, as well as others calculated through Microsoft Excel;
The maximum value = 50
The minimum value = 5
The third quartile, Q₃ = 46.75
The median, Q₂ = 29.5
The first quartile, Q₁ = 6.75
The box plot for the test scores for the vocabulary test with 50 questions administered to 600 students from the 5th to the 10th grade is included with the above answer.
Perform the indicated operation. (-3 + 5i) - (7 + 9i) -10 + 4i 4 - 4i -10 - 4i
Answer:
-26-8i does this help?
Step-by-step explanation:
I took what was in the parenthesis and put them together coming out with -10 and -4i. Then I took what was next and started putting the variables together and the numbers together.
There are 1440 minutes in each day.
Choose the best approximation of the number of minutes in each day.
Answer:
1 * 10^3
Step-by-step explanation:
1440 can be rounded off to the nearest hundred as 1400.
1440 can be rounded off to the nearest thousand as 1000.
1000 = 1 * 10^3
Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7
help me please
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. so i think B and D
The given numbers 645+9√4 and 645×9√4 are rational numbers.
Option A and C are correct.
Rational number :A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
The given options are,
A. 645+9√4 = 645 + (9*2) = 645 + 18 = 663
Since above number can be expressed as the ratio of the integers.
So that, given number is rational number.
C. 645×9√4 = 645 * 9 * 2 = 11,610
Since above number can be expressed as the ratio of the integers.
So that, given number is rational number.
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I need help!!!!with this math question
The elivation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1/2 of the elevation of city c. How do you represent the elevation, in feet, of city d?
Answer:
The elevation of city d is 6 feet
brainliest??
How does the value of the digit 3 in the number 63,297 compared to the value of the digit 3 in the number 60,325?
Answer:
The value of digit 3 in 63,297 is in the thousands place while the digit 3 in the number 60,325 is in the hundreds place
Hope this helps!
f(x) = 32^2+ 5x - 14
Find f(-9)
Find the length of RS with endpoints R(4,5) and S(-1, – 4).
Answer:
[tex]d=\sqrt{106}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-1-4)^2+(-4-5)^2}[/tex]
[tex]d=\sqrt{(-5)^2+(-9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
Helppppp!!!!!!!!!!!!!!
Answer:
pour the water out
Step-by-step explanation:
Answer:
the answer is 1.8
Step-by-step explanation:
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The table below shows Karen's distance during the
marathon. Between which hours does Karen run the fastest?
Answer:
Between 6 and 9 hours.
Reason: the slope increases during 6-9 hour period.
What is greater 5/8 or 60%
Answer: 5/8 :)
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
Using long division 5/8= 0.625. which as a percentage is 62.5%
62.5%>60%
Choose the best definition for the following term: substitution
Answer:
In Algebra "Substitution" means putting numbers where the letters are: When we have: x. −
Step-by-step explanation:
Which factor pair has a product of 75?
A) 25 and −3
B) −15 and 5
C) −75 and 1
D) −25 and −3
Answer:
D)-25 and -3
Step-by-step explanation:
-25 × -3
25×3(minus,minus cut)
=75
Which statement is true about parallel lines?
A. They intersect and are coplanar.
B. They intersect, but are not coplanar.
C. They do not intersect, but are coplanar.
D. They do not intersect and are not coplanar.
Answer:
C( They do not intersect, but are coplanar
Step-by-step explanation:
Parallel lines are coplanar (they lie in the same plane) and never intersect.
The statement that is true about parallel lines is that they do not intersect, but are coplanar: Option C is correct.
Lines are 2-dimensional figures that are used to connect two on more points in a xy-plane.
For two lines to be parallel, this means that the lines;
cannot meet each other i.e. they can not intersectThey can lie on the same plane i.e they can be coplanarHence we can conclude that the statement that is true about parallel lines is that they do not intersect, but are coplanar.
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Solve each Algebraic Equation
x-27=56
y+14=83
k+53=124
a-27=90
q+67=118
35+x=44
58+p=16
Answer:
x=83
y=69
k=71
a=117
q=51
x=9
p=-42
Step-by-step explanation:
What is the value of x?
.20
.35
.60
.70
Answer:
20
Step-by-step explanation:
2x=40 so once you divide both sides by 2 you get x=20
Hana paid $1,200 for the carpet in her living room. The room has an area of 251.2 square feet. What was her unit cost of carpeting in dollars per square foot? Round to the nearest cent.
pls help i am really needing it god bless u if u help me
Step-by-step explanation:
$1,200 divided by 251.2
hope this helps
Lets break this down.
This is pretty easy, if you just think about it, all we have to do is............. DIVIDE!
So what IS, 1200 by 251.2??
the answer is to your question 4.8
|-9-3| + (-16:4)
Evaluate the following expressions
Answer:
I got 12 + (-16 :4)
Step-by-step explanation:
if u could subscribe to my friend penny_pg3d, that would be great!
Maryanne sells cruise vacations.
She makes a base salary of $2,500 per month plus 5% of the cost of each vacation. This month she sold $80,000 in cruises. What are her total monthly wages?
Enter the correct answer in the box.
$____
The formula 2y = 3x + 6 is used in chemistry. How can this formula be solved for Y?
[tex]2y = 3x + 6\\y = \frac{3}{2}x + \frac{6}{2} = \frac{3}{2}x + 3[/tex]
For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.
Answer:
Mark brainly then I will answer..
The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley and Rises at a rate of 10 ft per second after 12 seconds balloon Captain lower the balloon 15 ft what is the altitude of a hot air balloon after being lowered
Answer:
177 ft below sea level.
Step-by-step explanation:
Initial altitude of the hot air balloon = 282 below sea level
Rate of rise of balloon = 10 ft / second
Time = 12 seconds
Total rise in 12 seconds = Rate of rise of balloon [tex]\times[/tex] Time
[tex]\Rightarrow 10 \times 12[/tex] = 120 ft
Now, we will have to subtract to find the new altitude.
New altitude = 282 - 120 = 162 ft
Now, it is given that balloon Captain lowers the balloon 15 ft.
To find the final altitude, we will have to add it to the previous altitude.
Therefore, the final altitude = 162 + 15 = 177 ft below sea level
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
WStep-by-step explanation:
[tex]hii[/tex]
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