The number of miles that must be driven for the two-day rental from Company B to be less than Company A is 200 miles.
What is the number of miles?The equation that can be used to determine the total cost of renting from Company A is:
Total cost = (cost per day x number of days) + (cost per mile x number of miles)
($25 x 2) + ($0.25 x m)
$50 + $0.25m
The equation that can be used to determine the total cost of renting from Company B is: ($35 x 2) + ($0.15 x m)
$70 + $0.15m
The equation that can be used to determine the number of miles where it would be cheaper to rent for two days from Company B is:
$70 + $0.15m < $50 + $0.25m
$70 - $50 < $0.25m - $0.15m
$20 < $0.10m
m < $20 / 0.10
m < 200
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Whats this answer?? I need it
What is the value of z in the system shown below?
x+y+z=6
x + 2y = 5
2x+z = 5
========================================================
Explanation:
I'll use the substitution method to solve this system of equations.
Solve the third equation for z
2x+z = 5
z = 5-2x
Then solve the second equation for y
x+2y = 5
2y = 5-x
y = (5-x)/2
y = -0.5x+2.5
Plug each of these into the first equation so we can solve for x.
x+y+z = 6
x+(-0.5x+2.5)+(5-2x) = 6
-1.5x+7.5 = 6
-1.5x = 6-7.5
-1.5x = -1.5
x = (-1.5)/(-1.5)
x = 1
Let's use this to find y and z
y = -0.5x+2.5 = -0.5*1+2.5 = 2
z = 5-2x = 5-2*1 = 3
Therefore,
x = 1
y = 2
z = 3
Or we can write it like this: (x,y,z) = (1,2,3)
-------------------
Check:
Plug these values into equation 1 and simplify
x+y+z = 6
1+2+3 = 6
6 = 6
We get the same thing on both sides.
This confirms equation 1.
Repeat for equation 2.
x+2y = 5
1+2*2 = 5
1+4 = 5
5 = 5
This confirms equation 2.
Lastly, plug those values into equation 3
2x+z = 5
2*1+3 = 5
2+3 = 5
5 = 5
Equation 3 is confirmed.
All three equations are true when (x,y,z) = (1,2,3). The solution is fully confirmed.
Tessa has a coin jar full of dimes and pennies. When she took the coin jar to the bank, she was told that it contained exactly $27.34. Give three different combinations of the number of dimes and pennies that could have been in the coin jar.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ME ASAP TO BE DONE BY TONIGHT
Answer:
neither
Step-by-step explanation:
The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.
Hope this helps! :)
The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?
Answer:
10.3 is the length
Step-by-step explanation:
If the area of a parallelogram is B * H then finding one side is dividing area by base or by height
88.58 / 8.6
Answer:
Step-by-step explanation:
88.58 divided by 8.6 is 10.3. That is your answer. 10.3.
What is an equation of the line that passes through the points (-5,7) and (5,5)?
SUPER URGENT WILL GIVE BRANLIEST AND ALL THE POINTS I HAVE
line a is parallel to line b. if the measure of∠7 is 144° what is the measure of∠4
Answer:
140
Step-by-step explanation:
1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?
Answer: 216/3
Step-by-step explanation:
1 minute / 3 minutes = 1/3
216 feet * 1/3 = 216/3 feet per minute
Answer:
72 feet
Step-by-step explanation:
This question tests on the concept of conversion.
Given from the question, given the man can walk 216 feet in 3 minutes,
3 minutes = 216 feet
(3÷3) minute = (216 ÷ 3) feet
1 minute = 72 feet
Find the probability that at most 2 heads occured when 5 fair coins are tossed
Answer:
Five coins are tossed the probability of getting two heads is 5/16.
Step-by-step explanation:
I hope it will be helpful for you.
find the slope of the line that passes through ( 7,1 ) and (10,3)
simplify your answer and write it as a proper fraction. improper fraction, or integer.
Answer:
2/3
Step-by-step explanation:
The formula for the slope is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in (7,1) and (10, 3):
[tex]\frac{3-1}{10-7} = 2/3[/tex]
How many square feet of outdoor carpet will
we need for this hole?
Hey you man what are you doing here go to there
Write the equation of the line that goes through the point (3,-3) and has a slope of -5/3 (in slope intercept form).
The equation of the line that goes through the point (3,-3) and has a slope of -5/3 is y=(-5x+6)/3.
What is a slope?In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent a slope; reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."
The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as quotient ("rise over run"), which produces same number for every two distinct points on the same line. A declining line has negative "rise." The line might be useful, as determined by road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.
The slope's absolute value serves as a gauge for line's steepness, incline, or grade. A steeper line is indicated by slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.
if we let y = mx + b, where m is the slope and b is the intercept, and y - y1 = m (x - x1), then:
3(y + 3) = - 5 (X - (-3))
3y + 9 = - 5 X + 15
3y = -5 X + 6
y=(-5x+6)/3
Check:
When x = 3, y should equal - 3, so:
Y = (- 5 (3) + 6)/3 = -3
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A particular jury consists of 7 jurors. Each juror has a 0. 2 chance of making the wrong decision, independently of the others. If the jury reaches a decision by majority rule, what is the probability that it will reach a wrong decision?.
The probability that the jury will make a wrong decision is 0.033
The number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.
Now, denote the events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so that:
P(Jury Error) = P(A)+P(B)+P(C)+P(D)
[tex]\left \ ({{7} \atop {4}} \right.)(0.2)^{4} *(0.8)^{3}+\left \(( {{7} \atop {5}} \right. )(0.2)^{5} *(0.8)^{2} +\left \ ({{7} \atop {6}} \right.)(0.2)^{6} *(0.8)^{1} +\left \(( {{7} \atop {7}} \right.)(0.2)^{7} *(0.8)^{0}[/tex]
[tex]=0.033[/tex]
[tex]P(Jury Error)=0.033[/tex]
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How do you fully factorise 15p^2+24p
PLEASEE HELP WHAT IS THE ANSWERR?!?!
Answer:
42 degree
Step-by-step explanation:
180-132=48
48+90=138
180-138=42
Answer:
Angle e is 42°.
Hope this helps!
Step-by-step explanation:
Total degrees of a triangle is 180°.
The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.
will the bakery have enough time to bake 5 batches of bagels
can't understand Ur question nicely
how do you know if shapes are congruent
Answer:
Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.
Answer: Congruent mean same/equal
Step-by-step explanation: So if the have the same height,width, radius,or even angles, they can be congruent.
Given that 2 = 6.
Which theorem proves that line d is parallel to line e.
Converse of the alternate exterior angle
theorem
Converse of the alternate interior angle
theorem
Alternate Exterior angle theorem
Alternate interior angle theorem
The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.
What is the Converse of the Alternate Exterior Angles Theorem?The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.
Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.
Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.
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The probability of choosing a rotten apple from the bag of apples is 4/5
When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.
How to calculate the probability?It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.
In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.
Therefore, the correct option is C.
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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability
impossible
unlikely
likely
certain
Drawn to scale
find the area of the figure
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70[/tex]
What are the rules for the order of calculations/operations in an expression?
Answer:
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
PEMDAS
multiplication and division are on the same level, when you see both work from left to right
addition and subtraction are also on the same leve, work from left to Right
P > E > M = D > A = S
Answer:
p e m d a s
Step-by-step explanation:
I hope it's helpful for you
$1,500 for 1,080 square feet of carpet
When the price is $1,500 for 1,080 square feet of carpet, the price per square feet is $1.389.
How to illustrate the information?It should be noted that from the information, it was stated that the price is $1,500 for 1,080 square feet of carpet.
In this case, it should be noted that the price per square feet will be:
= Total amount / Number of square feet
= $1500 / 1080
= $1.389 per square feet.
Therefore, the price is $1.389.
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$1,500 for 1,080 square feet of carpet. Find the. price per square feet
distributive property 4x9.4
Answer:
37.6
Step-by-step explanation:
4*9.4 = 37.6
Hakeem is starting a running plan to train
for a race. In the first week of his running
plan, Hakeem will run 11 miles. The plan
calls for Hakeem to increase his weekly
milage by 2 miles every week. If Hakeem
sticks to the plan, how many miles would
he be expected to run during his 8th week
of the training plan?
Answer:
25 miles
Step-by-step explanation:
Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
This can be described as:
11 + 2w
when w = week
because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:
11 + 2(7) = 25 miles
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.
5x+2y=10
and passes through (-6, 7)
Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.
Given that,
Line equation is 5x+2y=10
The point (-6,7)
We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.
Take equation 5x+2y=10
2y=10-5x
y=(10-5x)/2
y=5-5/2x
The slope of the equation is -5/2
Now, the slope equation formula is
(y-y₁)=m(x-x₁)
Here,
m is -5/2
x₁=-6
y₁=7
We substitute in the formula
(y-7)=-5/2(x-(-6))
(y-7)=-5/2(x+6)
2(y-7)=-5(x+6)
2y-14=-5x-30
5x+2y=-30+14
5x+2y=-16
5x+2y+16=0
Therefore, an equation line through the given point and parallel to the given equation is 5x+2y+16=0.
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Supergym is a national chain of gyms. This year, its employees sold 10,412 gym memberships, which turns out to be 52% more than they sold last year. How many memberships did they sell last year?
The supergym sold 15,826.24 membership last year
How to calculate the number of membership sold ?
This year it's employees sold 10,412
This number is 52% more that they sold last year
The first step is to calculate 52% of 10,412
52/100 × 10,412
= 0.52 × 10412
= 5,414.24
The number of membership sold this year can be calculated as follows
= 5414.24 + 10,412
= 15,826.24
Hence the number of membership they sold last year is 15,826.24
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Need asap please will give 20 points if its correct
.
Which is the opposite of squaring a number?
Squaring the number.
Finding the cube root.
Finding the square root.
Cubing a number.
Answer:
finding the square root
Step-by-step explanation:
given 5² = 25
then the opposite is finding the square root , that is
5 = [tex]\sqrt{25}[/tex]
Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.
Answer:
Let C=the number of candies (because the first variable starts with c)
Let p= the number of pretzels (because the second variable starts with p)
SYSTEM OF EQUATIONS:
4.25c+3.50p=36.50 (first variable number + 2nd variable number equals total amount
p=c+6 (we know we have 6 more pretzels than candies to we have to add candies(c)+6 how many more pretzels than candy we have to find pretzels total number.
The probability of rolling a six on a bias dice
is 1/5
Work out the probability of rolling exactly
one six
The probability of rolling exactly one six = 0.04
what is probability ?
Probability is a branch of mathematics that deals with the occurrence from of a random event . the value is expressed from zero to one .Probability has been introduced in mathematics to predict how likely events are to happen .
So , acc the question "exactly one six " means that one roll so that probability must be doubled the probability of " not six " is 4/5 . the probability of a 6 on the roll and not on the second is 1/5 x 4/5 =4/ 25 .
The six could come on the second roll so thst probability must be doubled .
the overall probability of exactly one six 8/25 or 0.32
completing toatl probability -no sixes =4/25 x 4/25 =16/25 =0.04
two sixes =1/5x 1/5 =1/25= 0.04
Hence , the probability of rolling exactly one six = 0.04
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AOC and BOD are diameters of a circle, centre O
Prove that triangle ABD and triangle DCA are congruent by RHS.
B
Triangle ABD is congruent to triangle DCA.
What is congruency of triangles?
Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.
Given, AOC and BOD are the diameters of a circle
Then, In triangles ABD and DCA,
∠BAD = ∠ADC = 90°
BD = CA (diameter)
AD = DA (common)
Thus, by RHS rule the triangles are congruent
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