Answer:
200 miles
Step-by-step explanation:
First, set up the equations.
plan 1: initial fee of $55.96, $0.12 per mile
y = 0.12x + 55.96plan 2: initial fee of $63.96, $0.08 per mile
y = 0.08x + 63.96We want to know at what distance will the cost be the same. So, set the equations equal to each other.
0.12x + 55.96 = 0.08x + 63.96
Combine the variables.
0.04x + 55.96 = 63.96
Combine the constants.
0.04x = 8
Divide by 0.04 to isolate x.
x = 200 miles
Check by plugging x back into each equation.
y = 0.12(200) + 55.96
y = 24 + 55.96
y = $79.96
y = 0.08(200) + 63.96
y = 16 + 63.96
y = $79.96
You are correct!
Which expression can be used to determine 50% of 42
42-2
42-2
42. 10
O42-10
Please
Answer:
42/2 (the second choice down)
Step-by-step explanation:
Write the expression with a factor of -1.
-3y
-x-y
-6+5b
3-8m
what is the gcf of 10p²,15pq and 25q²
Answer:
5p
Step-by-step explanation:
giving 5 stars
Lucy made 9 pies in 2 hours. She made the same number of pies each hour. Which of the following equations represents the number pies Lucy made each hour
A:9÷7
B:9÷2
C:7÷9
D:2÷9
a platform is 10 m long and 8m
wide what is the area of the platform
Answer:
80 meters squared
Step-by-step explanation:
An ice-cream truck charges $2.00 for each cone of ice-
cream sold. Explain how you can determine the cost of
any number of ice-cream cones?
write a congruence statement for the figures below . pleeasse show your work
Answer:
[tex] \triangle FDE \cong \triangle RTS[/tex]
Step-by-step explanation:
[tex] In \:\triangle FDE \:\&\:\triangle RTS[/tex]
[tex] FD \cong RT... (given) [/tex]
[tex] \angle FDE \cong \angle RTS... (given)[/tex]
[tex] DE \cong TS... (given) [/tex]
[tex] \therefore \triangle FDE \cong \triangle RTS\\(by\: SAS\: postulate)[/tex]
ASAP: #43. Find the area of triangle ABC given A = 42.5°, b = 13.6, c = 10.1 (Draw a triangle, give answer to nearest tenth!)
Correct answer gets marked brainliest:)
Answer:
The area of a triangle A = 46.399 square units
Step-by-step explanation:
Explanation:-
Given that ΔABC
Given ∠ A = 42.5° and sides b= 13.6 and c =10.1
The area of a triangle
[tex]A = \frac{1}{2} b c sin A[/tex]
[tex]A = \frac{1}{2} 13.6(10.1) sin 42.5[/tex]
[tex]A = \frac{1}{2} 137.36(0.67559)[/tex] (∵ sin (42.5)° = 0.67559
A = 46.399 square units
Solve this system by substitution, y = 4x + 12. -3x + 2y = 4
Step-by-step explanation:
in equation 1
y=4x+12
so now
eqs 2
2y=4+3x
then
-y=x+8
y= -x-8
so
-x-8=4x+12
-20=5x
-4=x
so
y= 4-8
y=-4
What is the solution to the system?
1/2x + 3/2= -7
-3x + 2y = -2
Answer: (-2, -4)
Answer:
the (x, y) pair solution to the system is: (-2, -4)
That is x = -2 and y = -4
Step-by-step explanation:
I presume there is a variable y missing in the first equation, and in fact the system looks like:
(1/2) x + (3/2) y = - 7
- 3 x + 2 y = -2
In such case, we proceed to multiply both sides of tye first equation by 6
6 (1/2) x + 6 (3/2) y = - 42
3 x + 9 y = - 42 and we add term by term this equation to the second one, so as to cancel out the term in x:
3 x + 9 y = - 42
- 3 x + 2 y = -2
_____________
11 y = - 44
divide both sides by 11 to isolate y
y = -44 / 11 = -4
Then with the value y = -4, now we replace it in the second equation to solve for x:
- 3 x + 2 y = - 2
- 3 x + 2 (- 4) = -2
- 3 x - 8 = - 2
add 8 to both sides
- 3 x = 6
divide both sides by (-3) to isolate x
x = 6 / (-3) = - 2
Therefore the (x, y) pair solution to the system is: (-2, -4)
That is x = -2 and y = -4
F(x)=p(x)/q(x) is called
Answer:
Rational function
Step-by-step explanation:
Rational functions usually have the form p(x)/q(x).
Where, p and q are said to be polynomials. The polynomial p(x) is referred to as the numerator while the polynomial q(x) is referred to as the denominator.
I need help on this question below
Which sentence is true?
Answer:
B
Step-by-step explanation:
Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25.
If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.
A - 25(n) +31.25 =165.25
B - 1.25(n)+25=156.25
C- 25(n)=156.25+31.25
D - 25(n)=156.25−31.25
$5
Step-by-step explanation:
Note. There are no options to select.
Let the notebook cost x, then Mark spent:
25x + 25*1.25 = 156.25
25x + 31.25 = 156.25
25x = 156.25 - 31.25
25x = 125
x= 125/25
x= 5
Let p: The kitchen is clean.
Let q: The bedroom is clean.
Which statement iS true if the kitchen is clean but the bedroom is not clean?
• If p is true, then q is true.
• Statement q if is true if and only if p is true.
• Both p and q are true.
• Statement p or q is true.
Answer:
the last one would be the answer as we know the kitchen is clean so it might be some if true
The sum of 4 consecutive odd integers is 40. Find the first number algebraically.
Step-by-step explanation:
2n+1+2n+3+2n+5+2n+7
8n+16=40
8n=40-16
8n=24
n=3
Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day
Answer:
(d) and (e) are true
Step-by-step explanation:
Given
[tex]Food = 23\ oz[/tex]
See attachment for proper presentation of question
Required
Select all true statements
For any option to be true, it must satisfy the following condition.
[tex]Days * Food = 23[/tex]
Option (a):
[tex]Days = 6[/tex]
[tex]Food = 4\frac{1}{6}[/tex] per day
So, we have:
[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]
[tex]Days * Food = 6 * \frac{25}{6}[/tex]
[tex]Days * Food = 25[/tex]
This is not true because: [tex]25 \ne 23[/tex]
Option (b):
[tex]Days = 10[/tex]
[tex]Food = 2\frac{2}{23}[/tex] per day
So, we have:
[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]
[tex]Days * Food = 10 * \frac{48}{23}[/tex]
[tex]Days * Food = \frac{480}{23}[/tex]
[tex]Days * Food = 21[/tex] --- approximated
This is not true because: [tex]21 \ne 23[/tex]
Option (c):
[tex]Days = 8[/tex]
[tex]Food = 3\frac{1}{8}[/tex] per day
So, we have:
[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]
[tex]Days * Food = 8 * \frac{25}{8}[/tex]
[tex]Days * Food = 25[/tex] --- approximated
This is not true because: [tex]25 \ne 23[/tex]
Option (d):
[tex]Days = 11[/tex]
[tex]Food = 2\frac{1}{11}[/tex] per day
So, we have:
[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]
[tex]Days * Food = 11 * \frac{23}{11}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Option (e):
[tex]Days = 7[/tex]
[tex]Food = 3\frac{2}{7}[/tex] per day
So, we have:
[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]
[tex]Days * Food = 7 * \frac{23}{7}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
The function W(d)=0.112d approximates the amount, in centimeters, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depths of 12cm, 35cm, and 89 cm
Answer:
1.344 cm ; 3.92 cm ; 9.968 cm
Step-by-step explanation:
Given the function :
W(d) = 0.112d ; Amount of water in cm, that results from dcm of snow Melting.
Find the amount of water that results from snow melting from depths of 12cm, 35cm, and 89 cm
1.)
W(12) = 0.112(12) = 1.344 cm
2.)
W(35) = 0.112(35) = 3.92 cm
3.)
W(89) = 0.112(89) = 9.968 cm
A plane goes from a standstill to 350 mi/hr in about 45 sec. What is the plane's acceleration?
Answer:
The acceleration is 466.7m/s^2
Step-by-step explanation:
Given
[tex]u = 0m/s[/tex] -- Initial Velocity
It is 0 because the plane starts from a standstill
[tex]v = 350mi/h[/tex] -- final velocity
[tex]t = 45s[/tex] -- time
Required
Determine the acceleration
This is calculated using Newton's first equation of motion
[tex]v = u + at[/tex]
Convert time to hour
[tex]t = 45s[/tex]
[tex]t = \frac{45}{60}hr[/tex]
[tex]t = 0.75hr[/tex]
Substitute values for v, u and t
[tex]350 = 0 + a*0.75[/tex]
[tex]350 = 0.75a[/tex]
Divide both sides by 0.75
[tex]\frac{350}{0.75} = a[/tex]
[tex]466.67 = a[/tex]
[tex]a=466.67m/s^2[/tex]
Hence, the acceleration is 466.7m/s^2
PLEASE HELP I NEED THE ANSWER NOW WILL GIVE YOU BRAINLEST
Answer:
your answer is C
Step-by-step explanation:
Answer:
D. x>8
Step-by-step explanation:
Find all real zeros of the function y=-9x-1
A. -9
B. 1/-9
C. 1/9
D. -9 -1
Please select the best answer from the choices proided
Answer:
OPTION D
Explanation:
For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.
or
If y = -9x - 1,
When y = 0
0 = -9x - 1
0 + 1 = -9x - 1 + 1
1 = -9x
1/9 = -9x/9
1/9 = -x
1/[9 X (-1)] = -x/-1
- (1/9) = x
When x = 0
y = (-9 X 0) - 1
y = 0 - 1
y = - 1
simplify (5 square root 2) * ( 3 square root 2 )
Answer:
30
Step-by-step explanation:
multiply 5 x 3 and you get 15 then multiply the roots and you also get 2 so then you have to multiply 5 and 2 to get 30.
The solution is : the simplification of 5√2 × 3 √2 is: 30.
Here, we have,
given that,
5√2 × 3 √2
now, we need to simplify this, i.e. we have to multiply this.
so, we get,
multiply 5 x 3 and we get 15
then multiply the roots and we also get 2
i.e. √2 ×√2 = 2
so then you have to multiply 15 and 2 to get 30.
i.e. 15 * 2 = 30
so, we have,
5√2 × 3 √2
= 5 × 3 × √2 ×√2
=15 × 2
=30
Hence, The solution is: the simplification of 5√2 × 3 √2 is: 30.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ6
List 3 values that would make this inequality true.
Answer: n < 2, n < 1
Step-by-step explanation:
A. Give two examples of addition of Like Fractions.
B. Give two examples of Subtraction of Like Fractions
C. Give three examples of multiplication of Fractions.
D. Give two examples of Addition of Unlike Fractions.
E. Give two examples of Division of Fractions.
IM GIVING BRAINLIEST AND 30 POINTS!!
Answer:
A: 3/5 + 2/5 = 5/5
A: 3/5 + 1/5 = 4/5
B: 3/5 - 2/5 = 1/5
B: 3/5 - 1/5 = 2/5
C: 3/5 x 2/5 = 6/25
C: 3/5 x 1/5 = 3/25
C: 2/5 x 1/5 = 2/25
D: 1/2 + 1/4 = 3/4
D: 4/5 + 4/10 = 6/5
E: 4/6 ÷ 2/6 = 2
E: 1/6 ÷ 1/6 = 1
Step-by-step explanation:
box there are 10 blue marbles for every 35 red marbles what is the reduced ratio of red marbles : blue marbles
Select the most specific name for the quadrilateral shown.
O parallelogram
O rhombus
O rectangle
square
Answer:
Square
Step-by-step explanation:
square - (geometry) a plane rectangle with four equal sides and four right angles
Find the value of x.
Answer:
i think x is 36
Step-by-step explanation:
3x + 2x = 180
Can someone please help me?
Answer:
The answer is (-4,9)
Step-by-step explanation:
The other ones are not near the line (-8,-10) does not even fit on the screenshot. (-4,9) Is the only one that is on the line.
Somebody help me please I’m giving brainliest!
Answer:
98º
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(1, 72) (2, 73)
(73 - 72)/(2 - 1)= 1/1= 1
y - 72 = x - 1
y = x + 71