Answer:
mechanical pencil costs $1.25 each
Step-by-step explanation:
First, lets define our variables:
notebook = n
mechanical pencil = p
Next, we need to set up two equations using the information given:
n + 3p = 4.75
2n + p = 3.25
Next, lets take the first equation and solve for n.
n+ 3p = 4.75
n = 4.75 - 3p
Now we can replace "n" in the second equation with "4.75 - 3p".
2n + p = 3.25
2(4.75 - 3p) + p =3.25
9.5 - 6p + p = 3.25
9.5 - 5 p = 3.25
9.5 = 5p + 3.25
5p = 6.25
p = 1.25
Finally, we can go a step further and solve for "n" by plugging "p" back into the second formula:
n = 4.75 - 3(1.25)
n = 1.0
I hope this helps!
-TheBusinessMan
1/9 x 5/4
Please make a fraction!
Answer:
5/36
Step-by-step explanation:
1 x 5= 5
and 9 x 4=36
which makes 5/36
The solution to the product of the fractions is 5/36
How to evaluate the product of the fractionsFrom the question, we have the following parameters that can be used in our computation:
1/9 x 5/4
Express 1/9 as 1/9
So, we have
1/9 x 5/4 = 1/9 x 5/4
Evaluate the products of 1 and 5
So, we have
1/9 x 5/4 = 5/9 x 1/4
Evaluate the products of 9 and 4
So, we have
1/9 x 5/4 = 5/36
Hence, the solution is 5/36
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please hurry i need help please
Answer:
(x-3)(x-7)
Step-by-step explanation:
[tex]f(x) = x {}^{2} - 11x + 24 \\ g(x) = x - 3 \\ f (x) - g(x) = x ^{2} - 11x + 24 + x - 3 \\ collect \: like \: terms \\ f - g(x) = x ^{2} - 11x + x + 24 - 3 \\ f - g(x) =x ^{2} - 10x + 21 \\ f - g(x) =x ^{2} - 3x - 7x + 21 \\ f - g(x) =x(x - 3) - 7(x - 3) \\ f - g(x) =(x - 3)(x - 7)[/tex]
hope it helpsWhich terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A) 3x, -2x and 5x2
B) 3x and -2x
C) 3x, 3xy, -2x and 5y
D) All terms are alike.
Answer: B
Step-by-step explanation: Only 3x and 2x Have the exact same variable
A mathematical phrase containing at least one variable is
Answer:
An algebraic expression
(-3,-2) and (-8,4)
what is the distance between them in radical form
Answer:(-4,5)
Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).
help
solve question A and B
I really appreciate it... I will mark as brainliest
A 2:4
B 4:6:12
C 0.6:2.4
Distance from school to shop is 12 km
Answer:
9/4= x/8 = x = 9x8/4= 18
18+4= 22
I NEED THE ANSWER ASAP
Answer:
x = 20
Step-by-step explanation:
angles 2 and 3 are alternate interior angles, which means they're equal. so, we can make this equation: 3x-10 = x+30
3x - 10 = x + 30
2x - 10 = 30
2x = 40
x = 20
hope this helps!
mustafas soccer team is planning a school dance as a fundraiser. the dJ charges $200 and decorations cost $100. the team decides to charge each student $5.00 to attend the dance. if n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit
A. 5n - 300 = 1,500
B. 5n + 300 = 1,500
C. 5n - 200 + 100n = 1,500
D. 5n - 109 - 200n = 1,500
Answer:
It is A on edge 2020
Step-by-step explanation:
The equation of the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300. Then the correct option is A.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mustafa's soccer team is planning a school dance as a fundraiser.
The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance.
If n represents the number of students attending the dance.
The total amount of expenses will be
Total Expense = $200 + $100
Total Expense = $300
The total amount of charges will be
Total Charge = 5n
Then the amount of the profit will be
Profit = Total charge – Total expense
1,500 = 5n – 300
Then the equation can be used to find the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300.
Then the correct option is A.
More about the Algebra link is given below.
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2/7 decimal from rounded to the nearest thousandth place
Answer:
0.286
Step-by-step explanation:
2/7 as a decimal is 0.28571429
0.28571429 rounded to thousandths place = 0.286
hope this helps!!!
The decimal form of the number will be 0.286
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fractional number is 2/7. The decimal form of the number will be,
2/7 as a decimal is 0.28571429 by dividing the number 2 by 7.
Rounded to the thousandths place,
0.28571429 = 0.286
Hence, the decimal form of the number will be 0.286
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Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 22% each year. You take out a four year loan to pay for the car. How much will the car be worth after 4 years?
Answer:
Around $4,368
Step-by-step explanation:
The initial cost is $11,800.
Each year, the new value will be 22% less than the previous year. Meaning that for each year that passes, the initial value will be multiplied by 0.78:
22% = 0.22
1 - 0.22 = 0.78
The value of the car after 4 years can thus be expressed as:
[tex]11800 * 0.78 * 0.78 * 0.78 * 0.78[/tex]
Or:
[tex]11800 * 0.78^4[/tex]
[tex]11800 * 0.78^4 \approx 4368[/tex]
Answer: around $4,368
Step-by-step explanation:
Around $4,368
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Find the measure of ZSTV.
S
3b
15b + 18
U
T
Answer:
<stv=153
Step-by-step explanation:
stu+stv=180 (being a straight angle)
3b +15b+18=180
18b=180-18
b=162/18
b=9
now
<stv=15b+18
=15 × 9 +18
=135+18
=153
<stv=153°
2.1.12
Determine whether the following statement is true or false.
The graph of f(x) = (x + 7)2 + 4 has its vertex at (7,4).
Choose the correct answer below.
O False
O True
ANSWER ASAP PLSS!
Answer:false
Step-by-step: just use the equation and put it in the graph
someone pleaseeeeeeee helpppppp me pleaseee
Answer:
Step-by-step explanation:
20: is a drawing with compasses and rular
18e³f+45e²f^4 ( take 9 as a common factor, e² and f)
9e²f(2e+5f^3)
x²-4x-12 ( factorize)
(x-6)(x+2)=0
either : x-6=0
then x=6
or x+2=0
then x=2
If GHJ is an equilateral triangle, Gh=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each angle.
Answer:
x = 8
Step-by-step explanation:
Since the triangle is equilateral, then the 3 sides are congruent.
Equate any 2 sides and solve for x, that is
7x - 29 = 5x - 13 ( subtract 5x from both sides )
2x - 29 = - 13 ( add 29 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
The triangle is equilateral, thus the 3 angles are congruent, thus
The measure of each angle is 60°
The value of the variable 'x' will be 8. And the measure of each angle will be 60°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
If triangle ΔGHJ is an equilateral triangle.
GH = 5x - 13, HJ = 11x - 61, and GJ = 7x - 29
In the equilateral triangle, all the sides of the equilateral triangle are equal and each angle of the equilateral triangle will be 60 degrees.
GH = HJ = GJ
From the first two-term, then the value of the variable 'x' will be calculated as,
GH = HJ
5x - 13 = 11x - 61
11x - 5x = 61 - 13
6x = 48
x = 8
The value of the variable 'x' will be 8. And the measure of each angle will be 60°.
More about the triangle link is given below.
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I need help please.
Solve for X
8x - 2 = 6 + 10(x - 5)
Answer: x = 21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x−2=6+10(x−5)
8x+−2=6+(10)(x)+(10)(−5)(Distribute)
8x+−2=6+10x+−50
8x−2=(10x)+(6+−50)(Combine Like Terms)
8x−2=10x+−44
8x−2=10x−44
Step 2: Subtract 10x from both sides.
8x−2−10x=10x−44−10x
−2x−2=−44
Step 3: Add 2 to both sides.
−2x−2+2=−44+2
−2x=−42
Step 4: Divide both sides by -2.
−2x / -2 = -42 / -2
x=21
Answer:
x = 21
Step-by-step explanation:
8x - 2 = 6 + 10(x - 5)
Step 1: Distribute the right side of the equation ("6 + 10(x - 5)") so it'll be easier to find x.
8x - 2 = 6 + 10x - 50
8x - 2 = 10x - 44
Step 2: Subtract 8x from both sides
8x - 2 = 10x - 44
-8x -8x
-2 = 2x - 44
Step 3: Add 44 to both sides to get 2x alone.
-2 = 2x - 44
+44 +44
42 = 2x
Step 4: Divide both sides by 2 to get x alone
42 = 2x
2 2
x = 21
If 24 of the 30 students finished the assignment in class, what fraction of the students finished in class. Please help I need it soon and I’ll give you Brainly
24/30 or 4/5
24 of the 30 students= 24/30
24/30=4/5
4/5 is the simplified fraction
59°
(3x + 4)º
A) 7
C) 9
B) 6
D 5
again i will give brainllest to the 1st one who solves this!!!
4+4=x solve for x
Answer:
x=8
Step-by-step explanation:
4+4=x
4+4=8
x=8
gints
llustrative
Mathematics
3. Select all the statements that are true about standard deviation.
A. It is a measure of center.
B. It is a measure of variability.
C. It is the same as the MAD.
D. It is calculated using the mean.
E. It is calculated using the median.
m
inne is recorded.
Answer:
The correct statements are: B and D.
Step-by-step explanation:
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
Then the standard deviation (S.D.) is given by,
[tex]S.D.=\sqrt{\frac{1}{n-1}\sum\limits^{n}_{i=1} {(x_{i}-\bar x)^{2} }}[/tex]
The correct statements are:
B. It is a measure of variability.
D. It is calculated using the mean.
At Chrissy's Clothes Warehouse, it takes of a day to complete of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
days
days
25 days
1/10 of all take 2/5 time
10/10=10 times 1/10
so 10 times 2/5 time=20/5=4 days to finish 1 order
4 days
WILL GIVE BRAINLIEST PLS ANSWER ASAP!!! What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )? x = −6 x = −4 y = −6 y = −4
Answer:
Slope of the given line= 0
Parallel lines have same slopes. Therefore, slope of the line passing through (-4,-6) =0.
Eq of line=
y+6= 0(x+4)
y+6=0
y= -6
help me out i’ll give you brainliest
Answer:
6 and 7
Step-by-step explanation:
Answer:
6&7
Step-by-step explanation:
6*6=36
7*7=49
If the train that Megan is riding covers 180 miles in 3 hours, how fast is the train traveling?
Answer:
60 mph
Step-by-step explanation:
The value of number plus 17 is less than 12
Answer:
x∠-5
Step-by-step explanation:
x+17∠12
x∠12-17
x∠-5
Answer:
x<-5
Step-by-step explanation:
The value of a number = x
is less than = <
x+17 < 12
x < -5
-----------------------------------------------------------------------------------------------------
I hope this is what you needed. If not, I am truly sorry.
32.161
- 5.9
( please show the work if you can lol will give brainliest!! )
Answer:
26.261
Step-by-step explanation:
32.161
- 5.900
26.261
what is? The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146cm, find the dimensions of the rectangle.
plz I need help
Answer:
The width is 26cm and the length is 47cm :)
Step-by-step explanation:
im doing this rn
A. hellen raised 12$ for the food bank last year and she raised 6 times as much money this year how much money did she raise this year
B. sandra raised $15 for the pta and nita raised $45 How many times as much money did nita raise as compared to sandra ?
c. Luis raised $45 for the animal shelter which was 3 times as much money as. anthony raised . how much money did anthony raise
Answer:
A. 72
B. 3
C. 135
Step-by-step explanation:
A. 12 x 6 = 72
B. 15 x 3 = 45 so Nina raise 3x more money than Sandra
C. 45 x 3 = 135
Which table describes a linear function that has a slope of 2?
Answer:
Table (4)
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table (1),
Two points lying on the graph are (2, 1) and (6, -1).
Slope of the line = [tex]\frac{1+1}{2-6}[/tex] = [tex]-\frac{1}{2}[/tex]
From the table (2),
Two points lying on the linear function are (0, 8) and (2, 4).
Slope of the line = [tex]\frac{8-4}{0-2}[/tex] = -2
From the table (3),
Two points are (-4, 4) and (-2, 5).
Slope of the line = [tex]\frac{5-4}{-2+4}[/tex] = [tex]\frac{1}{2}[/tex]
From table (4),
Two points lying on the function are (-2, 0) and (0, 4).
Slope of the line = [tex]\frac{4-0}{0+2}=2[/tex]
Therefore, Table (4) represents a linear function with slope 2.
What is the value of the expression below when w = 3?
8w - 9
Answer: W=6
Step-by-step explanation:
8w-10
W=6
8(6)-10
48-10
38
