Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
through: (4,- 4), perp. to y = -4x - 2
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20
Answer:
20
Step-by-step explanation:
3 (b + a) = c
3 (4 + 5) = 7
12 + 15 = 7
27 = 7
27 - 7
20
[tex]\huge\boxed{ \sf{Answer}} [/tex]
Given,
[tex]a = 5 \\ b = 4 \\ c = 7[/tex]
And the equation we need to solve is,
[tex]3(b + a) = c[/tex]
To find the answer, you need to substitute the values of a, b & c in the equation.
[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]
↦ The answer is 20.
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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Please help me with this
Answer:
120 in^2
Hope it helps
The polygons are similar, but not necessarily drawn to scale. Find the value of x. PLEASE HELPPPP
Answer:
x = 27.5.
Step-by-step explanation:
There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.
So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.
With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.
Therefore, x = 27.5.
Rewrite as a power of 10: 1/10
Answer:
Step-by-step explanation:
You have to know how negative exponents "work" to understand this concept.
[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.
determina la pendiente (0,4) (-5,0)
Answer:
Use the slope formula to find the slope
m
.
m
=
4/5
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The equation of a line is 3/5x+1/3y=1/15
The x-intercept of the line is
and its y-intercept is
Answer:x intercept is where the line is crossing the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
to find them, set other ting to zero
3/5x+1/3y=1/15
xintercept, set y=0
3/5x+1/3(0)=1/15
3/5x+0=1/15
3/5x=1/15
times 5/3 both sides
x=1/9
xintercept is x=1/9
yintercet
set x=0
3/5(0)+1/3y=1/15
0+1/3y=1/15
1/3y=1/15
times 3/1 both sides
y=1/5
yintercept is y=1/5
xint is x=1/9
yint is y=1/5
Step-by-step explanation:
The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
( 3/5 )x+ ( 1/3)y = ( 1/15 )
To find the x-intercept of the line, we set y = 0 and solve for x:
3/5x + 1/3(0) = 1/15
3/5x = 1/15
x = (1/15) ÷ (3/5) = 1/9
So the x-intercept of the line is (1/9, 0)
To find the y-intercept of the line, we set x = 0 and solve for y:
3/5(0) + 1/3y = 1/15
1/3y = 1/15
y = (1/15) ÷ (1/3) = 1/5
So the y-intercept of the line is (0, 1/5)
Hence , the equation of line is solved
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Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
24 is 8 times as great as q
Which inequality describes the graph?
Answer:
1 describe the inequality graph
f(x)=2x+3/4x+5 find f(-9)
pls solve it
Answer:
15/31
Step-by-step explanation:
substitute -9 were there's x in the function
f(-9)=2(-9)+3/4(-9)+5
=-18+3/-36+5
=-15/-31
the negatives cancel giving you
15/31
Solve the inequality.
–13.4 ≥ 6.7 + 4.3 + w
–24.4 ≥ w
24.4 ≥ w
23.4 ≥ w
–23.4 ≥ w
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
find the slope between the points (-10,8) and (-7,5)
Answer:
-1
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (8 - 5) / (-10 - -7)
Slope = 3 / (-3)
Slope = -1
Jesse spends 1/2 of his pocket money on Monday.
On Tuesday, he spends 2/3 of what is left.
On Wednesday, he spends 1/4 of what remains.
What fraction of the pocket money does he have left? Choose the most
reasonable answer
Answer:
The fraction of the pocket money she left is 1/8.
Step-by-step explanation:
Let the total pocket money is p.
Spent on Monday = p/2
Amount left = p - p/2 = p/2
Spent on Tuesday = 2/3 of p/2 = p/3
Amount left = p/2 - p/3 = p/6
Spent on Wednesday = 1/4 of p/6 = p/24
Amount left = p/6 - p/24 = p/8
So, the fraction of the pocket money she left is 1/8.
pls help:( algebra 1 btw
17(2 + 12g) + 14
Answer:
204g + 48
Step-by-step explanation:
simplifying the expression
The number line shows the car's starting point and the ending point.
Find the distance between them.
Answer:
-12/7
Step-by-step explanation:
[tex] \frac{ - 5}{7} - \frac{7}{7} [/tex]
[tex] \frac{ - 5 - 7}{7} [/tex]
[tex] \frac{ - 12}{7} [/tex]
Third option is the answer.
Find the measure of the indicated side
Answer: X = 8
Step-by-step explanation:
PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!
Answer:
2/60 = 1/30 = 3.3%
Step-by-step explanation:
Answer the following question.
You earn $8 per hour at a pizza parlor. Last week, you made $288. How many hours did you work in order to make that
much money?
Devaughn is 7 years older than Sydney. The sum of their ages is 95. What is Sydney's age?
Answer:
44
Step-by-step explanation:
Let's say that Devaughn's age is D, and Sydney's age is S.
We know that D is 7 greater than S, so D = 7 + S.
We know that the sum of their ages, or D + S, is equal to 95, so D+S = 95
We have
D = 7 + S
D + S = 95
What we can do is plug D= 7 + S into the second equation to get
D + S = 95
= (7+ S) + S
= 7 + 2 * S
7+2 * S - 95
subtract 7 from both sides to isolate the coefficient and the variable
2 * S = 88
divide both sides by 2 to isolate the variable
S = 44
Sydney is therefore 44 years old
For how many integer values of M is M/30 strictly between 1/3 and 3/5?
Answer:
6 possible intergers brainliest me
Answer:
its 7
Step-by-step explanation:
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
O Multiply the divisor and dividend by 100.
• Divide the divisor and dividend by 10.
• Divide the divisor and dividend by 100.
Step-by-step explanation:
divide the divisor and dividend by 10
WILL GRANT BRAILIEST PLZ REAL ANSWERS ONLY OR REPORTING!
Hello,
If the question is simplify then
we suppose x not equal to 5 and x not equal to -5
[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\[/tex]
else
if the question is to find the euclidian 's quotient then
[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\[/tex]
euclian's quotient is 1
remainder is -10/(x+5)
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's start by using the formula for the combined work of two people:
1/t = 1/3 + 1/2
Here, t represents the number of hours it would take to clear the field together.
To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:
1/t = (2/6) + (3/6)
1/t = 5/6
To isolate t on one side of the equation, we can take the reciprocal of both sides:
t/1 = 6/5
t = 1.2
Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
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Find the value of x and y from the equation
Answer:
x = 5 and y = 3
Step-by-step explanation:
5x - 3y = 16
3x - y = 12 multiply second equation by (-3)
(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)
-9x + 3y = -36 now subtract this from the first equation
5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)
-4x = -20 and 4x = 20 divide both sides by 4
x = 5 if 3x - y = 12 then 3*5 - y = 12
15 - y = 12
-y = -3 and y = 3
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the smaller number first.
Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
[tex]2(11x)=10x^2[/tex] and
[tex]10x^2-22x=0[/tex] and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to [tex]\frac{22}{10}=2.2[/tex]
So x = 2.2 and y = 22.
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. How long will it take the plane to reach 12,000 feet above the ground
Answer:
Step-by-step explanation:
Let the time taken to reach 12,000 feet = x
Distance traveled in 1 minute = 2000 ft
Distance traveled in 'x' minute = 2000 * x = 2000x
30,000 - 2000x = 12000
Add 2000x to both sides
30,000 = 12000 + 2000x
Now subtract 12,000 from both sides
30000 - 12 000 = 2000x
2000x = 18 000
Divide both sides by 2000
x = 18000/2000
x = 9 minutes
What is the value of x in the equation 0.7x – 1.4 = –3.5?
1. -7
2. -3
3. 7
4. 3
Answer:
the answer is -3
Step-by-step explanation:
0.7x - 1.4 = -3.5
add 1.4 to both sides of the equation
you're left with 0.7x = -2.1
then divide both sides by 0.7
you're left with your answer of -3
The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?
Answer:
Step-by-step explanation:
I can tell you what it represents, but not what it means. Or maybe the units.
V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.
V = 4/3 * pi * r^3
V(5/7) = 4/3 * 3.14 * (5/7)^3
V(5/7) = 4/3 * 3.14 * 125 / 343
V(5/7) = 4/3 * 3.14 * 0.3644
V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)
Please help I don’t understand
Answer:
8/15
Step-by-step explanation:
The ratio of perpendicular to base is tan B .
Here ,
=> tan B = 8 ft/ 15ft
=> tan B = 8/15
