Answer:b=8
Step-by-step explanation:
3b=70-46
3b=24
b=24/3
b=8
When renting a car, Rent-For-Less charges $50 for a deposit and $1.25 per mile. Cheap
Rides charges $1.30 per mile and a $40 deposit. At what number of miles will the costs
be equivalent?
Answer:
200miles
Step-by-step explanation:
Given data
Rent-For-Less
charges $50 for a deposit and $1.25 per mile
let the number of miles be x
and the total distance be y
y=50+1.25x-------------1
Cheap Rides
charges $1.30 per mile and a $40 deposit
y=40+1.30x-------------2
Equate 1 and 2 above we have
50+1.25x=40+1.30x
collect liker terms
50-40= 1.3x-1.25x
10=0.05x
divide both side by 0.05
x= 10/0.05
x=200 miles
Hence the distance in miles is 200miles
What a deal! Just deShirts is having a 20% off sale. Trixie rushes to the store and buys 14 shirts. When the clerk rings up her purchases, Trixie sees that the clerk has added the 5% sales tax first, before taking the discount. Trixie wonders whether adding the sales tax before the discount makes her final cost more than adding the sales tax after the discount. Without making any calculations, make a conjecture. Is Trixie getting charged more when the clerk adds sales tax first? The next few problems will help you figure it out for sure.
Does it matter if sales tax is added before the discount or after her final total? (Yes or no AND why or why not?)
Answer:
no because she would get the same total if she added it before or after
Step-by-step explanation:
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
How to answer 3x + 2 < -4
Answer:
[tex]3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}[/tex]
x<-2 is the right answer.Answer:
x < −2
Step-by-step explanation:
Let's solve your inequality step-by-step.
3x + 2 < −4
Step 1: Subtract 2 from both sides.
3x + 2 − 2 < − 4 − 2
3x<−6
Step 2: Divide both sides by 3.
3x / 3 < −6 / 3
x < −2
Answer:
x < −2
Hope this helps :)
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
1 - 5x = -5x + 1
Help pls solve for x
Answer:
x can be all real numbers
Step-by-step explanation:
1 - 5x = -5x + 1
-5x+5x=1-1
0=0
Answer:
1/10
Step-by-step explanation:
5x=-5x+1
Move the variable to the left hand and change its sign
5x+5x=1
10x=1
x=1/10
Solve each linear equation for x. (A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23x – 9 = 13x x =
Answer:
A. x = -3
B. x = 2
C. x = 9/10
Step-by-step explanation:
(A) –12x + 9 = –15x
Collect like terms
9 = -15x + 12x
9 = -3x
x = 9 / -3
x = -3
(B) 4.5x + 11.5 = 8.5x + 3.5
4.5x - 8.5x = 3.5 - 11.5
-4x = -8
x = -8 / -4
x = 2
(C) 23x – 9 = 13x
-9 = 13x - 23x
-9 = -10x
x = -9 / -10
x = 9/10
Answer:
A) x= -3
B) x = -2
C) x = 27
Explanation: I did the lesson
Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?
the young lad invested 6000$
Answer:2000
Step-by-step explanation:
3. If you buy a new car for $6,000 which depreciates at 4%/year,
what will the value be after 3 years?
Answer:
$5,308.42
Step-by-step explanation:
(see attached for reference)
recall that the formula for Depreciation
is given by
A = P ( 1 - r)^t,
where
A = final amount
P = principal amount = given as $6,000
r = depreciation rate = given as 4% = 0.04
t = time in years = given as 3,
Simply substitute these into the equation to get:
A = P ( 1 - r)^t
= 6000( 1 - 0.04) ^ 3
= 6000 (0.96)^3
= $5,308.42
The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number
A 4 in
B 6 in
C 1 in
D 2 in
Answer:
D. 2 inches.
Step-by-step explanation:
Given the following data;
Volume of golf (sphere) = 4 in³
A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the equation, we have;
[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]
Cross-multiplying, we have;
[tex] 12 = 4 * 3.142* r^{3} [/tex]
[tex] 12 = 12.568 * r^{3} [/tex]
[tex] r^{3} = \frac {12.568}{12} [/tex]
[tex] r^{3} = 1.0473 [/tex]
Taking the cube root of both sides, we have;
Radius, r = 1.016 inches.
To find the diameter;
Diameter = radius * 2
Diameter = 1.016 * 2
Diameter = 2.03 ≈ 2 inches.
Answer:
the answer is 2.
Step-by-step explanation:
i just did this question on the exam
Thomas and Tina share a cake. Thomas eats 12.5% of the cake. Tina eats
2
176 of the cake. The fraction of cake remaining is "b/c". What is the value of
b? *
Your answer
This is a required question
O
On a math test a student,sarah , has to identify all the coefficients and constants of the expression 5b + m + 3 . says that 5 is a coefficient and 3 is a constant. Identify all the coefficients and constants of the expression. What error might sarah have made?
whats -4 (x - 5) = 40
Answer:
x=-5
Step-by-step explanation:
-4(x-5)=40
-4x+20=40
-4x=40-20
x=20/-4
x=-5
Sue washes 25 cars in 5 hours. This means Sue washes cars per hour
Answer:
she washes 5 cars per hour
Answer:
Sue washes 5 cars an hour
Step-by-step explanation:
25/5 = 5 cars an hour
Find an ordered pair that satisfies the function y=2x-12
3. The spinner below is spun 10 times. If the experimental probability of landing on a 3 is then what is the difference between the experimental and the theoretical probabies?
Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.
I hope it is helpful
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
X+2y=10
X+y=6
Using eliminations to solve each system
Answer:
x= 2
y=4
Just subtract by like numbers.
x + 2y = 10
x + y = 6
Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.
x + 2y = 10
-x - y = -6
Subtract.
y = 4
Now that we figured out y, we have to figure out x. Substitute y into one on the equations.
x + 4 = 6
x = 2
Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.
Southern Florida has a mild climate. Which statement about the probability of snow in June in southern Florida is most likely true? Help plz❣︎
Answer:
The probability of snow is about 0.75
Step-by-step explanation:
⚠️⚠️⚠️⚠️HELLPP⚠️⚠️⚠️
Use completing the square to solve for x in the equation (x-12)(x+4)-
O x= -1 or 15
O x= 1 or 7
x=4+ JAT
O x=4573
Answer:
x = 4 ± [tex]\sqrt{73}[/tex]
Step-by-step explanation:
d it is the answer all the way at the bottom
Elijah is planning a circular flower garden with a 12 foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)
Answer:
[tex]37.7\ \text{foot}[/tex]
Step-by-step explanation:
The length of the edging will be equal to the circumference of the circular flower garden.
Here, the diameter of the circular garden is [tex]d=12\ \text{foot}[/tex]
Circumference of a circle is given by
[tex]C=\pi d\\\Rightarrow C=3.14\times 12\\\Rightarrow C=37.68\approx 37.7\ \text{foot}[/tex]
The length of the edging is [tex]37.7\ \text{foot}[/tex].
Larry bought 4 pounds of jelly beans for $6. What is the unit rate?
Answer:
Unit rate is 1.5
Step-by-step explanation:
4 pounds = $6
Divide 6 by 4 = 1.5
Check: 4 * 1.5 = 6
Hence,
1 pound = $1.5
Hope this helps :)
Marina Polyakova pays a total of $1150 per month for rent and electricity. It costs $650 more for rent per month than for electricity. What are the costs for each?
Answer:
900 and $250
Step-by-step explanation
Given data
Total cost of utilities per month =$1150
Let the cost of rent be x
And the cost of electricity be y
x+y=1150---------1
It costs $650 more for rent per month than for electricity
x=x+650-------2
From equation 1
x+x+650=1150
2x=1150-650
2X=$500
x=500/2
x=$250
Hence the cost of electricity is $250
And the cost of rent is $650+250
=$900
In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.
Answer:
112 cm.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle IJK:
We can find the length of j using cosine rule:
[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]
A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?
Answer:160
Step-by-step explanation:
What the missing side angles
The answer would be 250
Answer:
Thank you....... I guess
Step-by-step explanation:
Answer:
what?
Step-by-step explanation:
The following table represents the total cost, C, for renting a car from Joe's car rentals for
number of days, d.
Determine if the Slope (Rate of Change) is constant. Find the y-intercept for the situation
(Show ALL your Work)
Carrie has 4 pans of brownies. If she wants to divide each pan into
tenths, how many brownies will she have in all?
Answer:
40
Step-by-step explanation:
4 times 10 equals 40
i news more sownfjdhe
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A contestant on a game show has –1,500 points. He loses another
750 points. What is his new score?