Answer:
what is x ??????????????????????
Mary's car is 10 years old and has a problem. The repair man indicates that it will cost her $1200.00 to repair her car. She can purchase a different, more efficient car for $4,500.00. Her present car averages about $2,000.00 per year for gas while the new car would average about $1,500.00 per year. Find the number of years for when the total cost of repair would equal the total cost of replacement.
Answer:
6 years 6 monthsStep-by-step explanation:
given data
let the number of year be x
le the total cost b y
for the older car
cost of repair $1200
cost of gas $2,000.00 per year
the cost for using the old car is
y=1200+2000x-----------1
for the new car
cost of $4500
cost of gas $1,500.00 per year
y=4500+1500x-----------2
equating 1 and 2 we have
1200+2000x=4500+1500x
solving for x
1200-4500=1500x-2000x
-3300=-500x
x=3300/500
x=6.6
The number of years is 6 years 6 months
Graph a line that contains the point (4,3) and has a slope of 1/2
Answer:
Equation is y = 1/2x + 1
Step-by-step explanation:
First off we know the slope, it is 1/2, so that is done already. Now we just need the y-intercept. In order to cross (4, 3), in needs to have a y-intercept of 1. So the equation is y = 1/2x + 1. I hope this helps, and I hope it's not wrong, but I don't think it is.
Hey guys please help mee
Answer:
29 and 18
Step-by-step explanation:
If when they say terms they mean numbers then in the first sequence it would be 29 terms and the second sequence would be 18 terms.
Answer:
1) 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128
2) 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115
Step-by-step explanation:
1) Take 20-16 which gives you 4. Keep adding 4 until you get 128.
2) Count by 5 until 115
If A= arcsin(-4/5) in Quadrant IV and B=arctan(5/12) in Quadrant III, what is the values of tan(arcsin(-4/5)+arctan(5/12))? ASAP please...
Answer:
-33/56
Step-by-step explanation:
suppose: A,B are the 2 angles of a triangle
we have: A = arcsin[tex]\frac{-4}{5}[/tex]
B = arctan [tex]\frac{5}{12}[/tex]
=> sin A = [tex]\frac{-4}{5}[/tex] => cos A = [tex]\sqrt{1-\frac{(-4)^{2} }{5^{2} } } =\frac{3}{5}[/tex] (because A is in quadrant IV)
tan B = [tex]\frac{5}{12}[/tex]
have:
[tex]1+ cot^{2}B=\frac{1}{sin^{2}B } => 1+\frac{1}{tan^{2} B}=\frac{1}{sin^{2}B } \\=> 1+\frac{1}{\frac{5^{2} }{12^{2} } } =\frac{1}{sin^{2}B }\\ => sin^{2}B=\frac{25}{169}[/tex]
because B is in quadrant III => [tex]sin B=-\sqrt{\frac{25}{169} }=\frac{-5}{13}=>cosB=-\sqrt{1-\frac{5^{2} }{13^{2} } }=\frac{-12}{13}[/tex]
tan(arcsin(-4/5)+arctan(5/12)) = tan( A + B)
but A,B are the 2 angles of a triangle => tan(A + B) = [tex]\frac{sin(A+B)}{cos(A+B)}[/tex]
have: sin(A+B) = sinA.cosB + cosA.sinB = [tex]\frac{-4}{5}.\frac{-12}{13} +\frac{3}{5}.\frac{-5}{13}=\frac{33}{65}[/tex]
cos(A + B) = cosA.cosB - sinA.sinB =[tex]\frac{3}{5}.\frac{-12}{13}-\frac{-4}{5}.\frac{-5}{13}=\frac{-56}{65}[/tex]
=> tan(A + B) = [tex]\frac{33}{65}:\frac{-56}{65}=\frac{-33}{56}[/tex]
Answer:
pie/6
Explaniation:
just took the test on k12
consider g(×)=5×-12. For what interval(s) is g(×) positive? negative?
Answer:
negative
Step-by-step explanation:
Solve for both and you'll get brainliest
List them as photo 1 and photo 2
Answer:
Photo 1: x=5 y=-2
Photo 2: x=11/5 y=4
Step-by-step explanation:
Photo 1-
2x + 3y = 4
x = 2 − 3/2y
y = 4/3 - 2/3x
2x + 3y = 4
x = 2 - 3/2y
y = 4/3 - 2/3x
Photo 2-
5x + 3y = 23
x = 2 − 3/2y
y = 4/3 − 2/3x
3y = 15x - 21
x = y/5 + 7/5
y = 5x − 7
бу - 2y = 3y+2
i need help
Answer:
6y-2y=3y+2
4y=3y+2
4y-3y=2
1y=2
y=2
If x=4 and 4x+9=y then (4(4)+9=y. This is an illustration of which property
Answer:
pretty sure commutative property lol
Step-by-step explanation:
Bailey has 45 minutes to exercise. It takes Bailey 3 minutes to jog around the track and 5 minutes to stretch. She jogs 6 laps around the track and stretches 2 times. Write and evaluate an algebraic expression to find the amount of time Bailey has left. Use j for the number of laps she jogs and s for the number of times she stretches.
Answer:
a) Time left = [45 - (3j + 5s)] minutes
b) 17 minutes
Step-by-step explanation:
a) Using j for the number of laps she jogs and s for the number of times she stretches. Since Bailey has a total of 45 minutes to complete his exercise, then;
Time left = [45 - (3j + 5s)] minutes
If she jogs 6 laps and stretches 2 times , then;
Time left = [45 - (3j + 5s)]
b) Where j = 6 and s = 2,
Time left = 45 - (3(6) + 5(2))
= 45 - (18 + 10)
= 45 - 28
= 17
Amount of time Bailey has left is 17 minutes.
Choose the ratio below that is equivalent to 4:3
A. 12:3
B. 8:3
C. 12:9
D. 3:4
The ratio equivalent to 4:3 is 12:9
Given:
Ratio = 4:3
To Find:
The ratio equivalent to 4:3
The given number which is in ratio is its simplest form.
Therefore in order to make it expanded form,First convert the given ratio into the fraction for its Multiplication.
Step 1: Convert to fraction
4:3 = 4/3
Step 2: Multiple the numerator and denominator of fraction by 3
4/3×3/3 = 12/9
Step 3: Convert the fraction into a ratio
12/9 = 12:9
Hence,the ratio equivalent to 4:3 is 12:9.
Option C. is correct
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Still can’t get this right please help
Answer:
D. y = (3/4)x + 10
Step-by-step explanation:
since it has to be in a formula of y = mx + b, it can't be a or b
y - 4 = 3/4 (x + 8)
y - 4 = (3/4)x + 6
y = (3/4)x + 10
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g(x)=-18(1/3)^x+2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, and only function f is negative. D. Both functions are increasing, but function g increases at a faster average rate.
Answer: I think it's D.
Step-by-step explanation:
I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, [tex]-10=a+c[/tex]
Similarly, by satisfying the above table in the f(x)
[tex]f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}[/tex]
[tex]f'(x) > 0[/tex]
So we can say that f(x) is an increasing function.
[tex]g(x)=-18(\frac{1}{3} )^x+2[/tex]
[tex]g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]
[tex]ln\frac{1}{3} < 0[/tex]
So, [tex]g'(x) > 0[/tex]
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) [tex]g'(x) > f'(x)[/tex]
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
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1002 - ______ =711 982 - _______= 405 2005 - ______= 970 610 x ____= 2240 ______ x 1000 = 250000 _______ x 4 = 8620 200 x _______ = 40000 ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642? ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643? ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640? ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420? ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?
Answer:
1002 - 712984 =711 982 - 4763987= 405 2005 - ______= 970 610 x 0.00230782703 = 2240.
250 x 1000 = 250000
2155050 x 4 = 8620 200 x 0.00464026356 = 40000
Step-by-step explanation:
a) i) 1002 - ______ =711 982
= 1002- x = 711982
= 1002 - (-711982) = x
= 712984
ii) 711 982 - _______= 405 2005
711982 - x = 4052005
x = 711982 -(- 4052005)
x = 4763987
iii) 970 610 x ____= 2240
2240 ÷ 970610 = 0.00230782703
iv) ______ x 1000 = 250000
= 250000 ÷ 1000
= 250
v) _______ x 4 = 8620 200
8620200 ÷ 4 = 2155050
vi) 8620 200 x _______ = 40000
= 40000 ÷ 8620200
= 0.00464026356
b) ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642?
x ÷ 2 = 8642
x = 8642 × 2
x = 17284
c) ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643?
x ÷ 3 = 8643
x = 8643× 3
x = 25929
d) ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640?
x ÷ 5 = 9640
= 9640 × 5
= 48200
e) ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420?
= x ÷ 5 = 6420
= x = 6420 × 5
= x = 32100
f) ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?
= x ÷ 20 = 2000
= x = 2000 × 20
x = 40000
Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining
eggs to his dogs.
Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.
Answer:
E = 16 ≤ x ≤ 23
Step-by-step explanation:
Number of eggs laid per week = between 18 and 25
Let x = exact number of eggs laid
Using inequality :
18 ≤ x ≤ 25
Number of eggs Pat eats = 2
18 - 2 ≤ x ≤ 25 - 2
Eggs left after pat eats 2 of the eggs :
16 ≤ x ≤ 23
Hence,
Eggs eaten by pat's dogs :
E = 16 ≤ x ≤ 23
Ms. Kent wants her students to learn more about the size of the Statue of Liberty. She brings in a scale model of the statue to show the class.
Ms. Kent says that every 2 inches on the model represents 25 feet on the actual statue.
What is the height of the actual Statue of Liberty, in feet, from the tip of the torch to the bottom of the pedestal? Show your work.
Answer:
27 inces will be the answer
Step-by-step explanation:
15% of what number is 24?
O A) 36
OB) 150
OC) 160
OD) 180
Answer:
160
Step-by-step explanation:
We have, 15% × x = 24
or,
15
100
× x = 24
Multiplying both sides by 100 and dividing both sides by 15,
we have x = 24 ×
100
15
x = 160
If you are using a calculator, simply enter 24×100÷15, which will give you the answer.
Answer:
C) 160
Step-by-step explanation:
Let the number be x
15% of x = 15/100 * x
15/100 * x = 24
x = 24*100 / 15
x = 160
Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.
m= -2, b= 5
2,672
Enter the equation of the line in slope-intercept form.
Answer:
y = -2x + 52,672
Step-by-step explanation:
Slope intercept form is the same as y intercept form: y = mx + b.
The m is the slope and the b is the y intercept.
What are these expressions like in words and numbers please answer if you know simple
Plz I need all the help I can get!
Fill in the blanks to continue the patterns:
Answer:
look in step by step
Step-by-step explanation:
12, 15, 18, 21, 24, 27, 30, 33, etc.
you are increasing by 3
18, 24, 30, 36, 42, 48, 54, 60, 66, 72
you are increasing by 6
5, 9, 13, 17, 21, 25, 29, 33, 37
you are increasing by 4
32, 16, 8... 4, 2, 1
you are decreasing by half
Answer:
A, 12,15 B, 15,21 C, 5,17 D, 32,16
Step-by-step explanation:
for A the rule is count by 3s
for B the rule is add 3 but skip every 2nd number
for C the rule is add is add 4
for D the rule is divide 2
hope this helps :)
- by chance may I get brainliest
A one year gym membership costs $160. A registration fee of $28 is paid up front and the rest is paid monthly. Adding the variable. Let x =
Answer:
here's an example to help you out man Let n = how much each new member must pay each month.
$160 - $28 = $132
n = $132 ÷ 12 months in a year
n = $11
You can also look at it this way:
n = (160 - 28)/12
3 f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h ( x ) = 2 x 3 + 8 h(x)=2 3 x +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h ( f ( x ) ) h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of x xx. h ( f ( x ) ) = h(f(x))=h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals
Answer:
[tex]h(f(x)) = 18x -22[/tex]
Step-by-step explanation:
Given
f (x) = [tex](3x-5)^3[/tex]
[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]
We are to find the composite function [tex]h(f(x))[/tex]
[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]
To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:
[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]
The measure of angle ABD IS 105° . The measure of angle ABC is 75°. What is the measure of CBD?
Answer:
30
Step-by-step explanation:
abc+cbd=105
abc=75
cbd=30
Answer:
105-75=30
Step-by-step explanation:
Math Help
Thanks
Brainlest will be awarded
Answer:
x=24
Step-by-step explanation:
you reduce the numbers making it 1/7 multiplied by 7x = 24, x will end up being 24
Which of the following ur mum
Answer:
lol thanks for the points
Step-by-step explanation:
Answer:
what does that mean
I've got free points...:D
Plz help me out ASAP!!!!!!!
Answer:
Step-by-step explanation:
A: +2
B: +2
C: -25
D: x3
what is the value of x in the equation 1.5 x+9.1 -2.4=-2.4
Answer:
X = -9.1
Step-by-step explanation:
Add 9.1 and -2.4 together to get
x + 6.7 = -2.4
subtract 6.7 from both sides to get
x = -9.1
y= 2x-1
3x-y=-1
Shouw ur work cuz im dumb and i need help plz
Answer:
ur not dumb but i think its b
Step-by-step explanation:
Which equation has infinitely many solutions?
1. 12 + 4x = 6x + 10 – 2x
2. 5x + 14 – 4x = 23 + x – 9
3. X + 9 – 0.8x = 5.2x + 17 - 8
4. 4x – 2x = 20
The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.
Which is an equivalent equation solved for y?
Answer:
y = a ÷ (πx)
Step-by-step explanation:
An equivalent equation solved for y is:
y = a/πx
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
The formula a = xy, where x and y are the halved lengths of the ellipse's biggest and smallest diameters, may be used to calculate the area, a, of an ellipse.
Starting from the formula a = πxy, we can rearrange it to solve for y:
a = πxy
Dividing both sides by πx, we get:
a/πx = y
y = a/πx
Therefore, an equivalent equation solved for y is:
y = a/πx.
To learn more about the equation;
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In Rebecca's kennel, 3/4 of the dogs are poodles. If 9/10 of the poodles are white, what fraction of the dogs in the kennel are white poodles?
Answer:
66/80 = 33/40
Step-by-step explanation:
I think this is right sorry if its not :)
