Answer:
90 months
Step-by-step explanation:
Let x = number of months
Let y = total cost of deal
Big City Nissan
y = 3000 + 420x - 840
⇒ y = 2160 + 420x
Rye Town
y = 3960 + 400x
Equate the equations and solve for x
2160 + 420x = 3960 + 400x
⇒ 420x - 400 x= 3960 - 2160
⇒ 20x = 1800
⇒ x = 90
1. two positive numbers are in
a ratio of 3:4. the sum of
three times the first and two
times the second is 68. find
the smaller number?
solution
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
Evaluate the expression 10^x-3 for x = 2.
Answer:
1/10 or 0.1
Step-by-step explanation:
10^x-3
10^2-3
10^-1
1/10 or 0.1
Pleas help me (and pls don't ban my question this time Brainly)
Answer:
d = 7.2
Step-by-step explanation:
12 + d = -4.8
subtract 12 from both sides and you get
d = 7.2
Answer:
-16.8
Step-by-step explanation:
The equation can be solved by performing the inverse of the operation that is done to the variable. Here, 12 is added to the variable. The inverse of that operation is addition of the "additive inverse", or "opposite" of 12:
12 + d = -4.8 . . . . . . given equation
12 -12 +d = -4.8 -12 . . . . . the same operation is done to both sides
d = -16.8
The value of d that makes the equation true is -16.8.
_____
The addition (subtraction) property of equality tells you that adding (subtracting) the same number from both sides of an equation will not change the value of the variable.
What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?
A. A’ (-1,-4), B’(-4,4), C’(2,-4)
B. A’(-4,-1), B’(-4,4),C’(8,-1)
C. A’(-5,-5), B’(-5,5),C’(6,-5)
D. A’(-4,-4), B’(-4,4)C’(8,-4)
Answer: D
Step-by-step explanation:
Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
The number of days it takes the water lily population to double will be 3.915.
What is a regression equation?The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.
This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:
[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]
Hence the number of days it takes the water lily population to double will be 3.915.
To learn more about the regression equation refer to the link;
https://brainly.com/question/7656407
5x + 2 =3x - 14
Simplify and solve the following
hey
Answer:
x=-8
Step-by-step explanation:
5x-3x=-2-14
2x=-16
x=-8
What is an output in a function
Answer:
the range of the function.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
write and evaluate an equation or inequality for each situation.
Alexandria has a base pay of $600 increased by her commission (x) totals $740.
The Marshall Track Team is running a relay race. There are 7 students on the team. The race is ½ of a mile long and each student runs the same distance. How far does each student run? Show your thinking with a drawing, a number line or tape diagram, and an equation. Enter your answer, work and/or explanation in the space provided.
The distance run by each of the seven students is 1/14 miles.
What does division mean?
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
What is the distance run by each student?In order to determine the distance run by each student, we would divided the total miles by the number of students.
Miles run by each student = 1/2÷ 7
1/2 x 1/7 = 1/14 miles
To learn more about division, please check: https://brainly.com/question/13281206
pick correct anser for 10 points !!!
Answer:
[D] a/b < d
Step-by-step explanation:
a = -1.25
b = 1
c = 0.5
d = 1.25
Now Solve the statement:
a/d > c
substitute
-1.25/1.25 which is -1
-1 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c < ab
substitute
0.5 < (-1.25)(1)
0.5 < -1.25
Thus, this is false.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a > bc
-1.25 > (1)(0.5)
Hence,
-1.25 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a/b < d
-1.25/1 < 1.25
-1.25 < 1.25
Thus, this is true
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hence, Answer is [D] a/b < d
[RevyBreeze]
A different rectangle has a diagonal of 60 yards and a height of 40 yards.find the width of the rectangle rounded to the nearest hundredth
Answer:
2159.6 i think
Step-by-step explanation:
i used a rectangle calculator
O f 2 0 0 0 0 small businesses surveyed, about 82%
said they employed women in some capacity.
Of the businesses that employed women, 19. 5%
employed no female supervisors, 50% employed
only one female supervisor, and the remainder
employed more than one female supervisor,
a How many of the businesses surveyed
employed no women?
b W hat proportion of businesses surveyed
employed exactly one female supervisor?
c W hat proportion of businesses surveyed
employed no female supervisors?
d Given that a particular firm employed women,
what is the probability that it employed at
least one female supervisor
Using proportions, it is found that the desired amounts are given as follows:
a) 360 businesses employeed no women.
b) 41% of the businesses surveyed employed exactly one female supervisor.
c) 15.58% of the businesses surveyed employed no female supervisors.
d) 80.5% probability that it employed at least one female supervisor.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
18% out of the 2000 businesses surveyed, hence:
n = 0.18 x 2000 = 360.
Item b:
50% out of 82%, hence:
p = 0.5(0.82) = 0.41.
41% of the businesses surveyed employed exactly one female supervisor.
Item c:
19% out of 82%, hence:
p = 0.19(0.82) = 0.1558.
15.58% of the businesses surveyed employed no female supervisors.
Item d:
100 - 19.5 = 80.5% probability that it employed at least one female supervisor.
More can be learned about proportions at https://brainly.com/question/24372153
HELPPP
47 The figure below shows Andrew's plan for a deck. 24 ft 22 ft 12 ft 33 ft [not drawn to scale] Find the area, in square feet, of the deck.
Show your work,
Answer:
681ft^2
Step-by-step explanation:
Start by finding the area of the whole thing with the missing triangle:
33 x 22 = 726
Then find the area of the triangle. You can do this by first finding out the side lengths of the triangle:
33 - 24 = 9 and 22 - 12 = 10
Then multiply both sides and divide by two because it is a triangle:
10 x 9 = 90 90/2 = 45
Then subtract the area of the triangle from the rectangle:
726 - 45 = 681
Answer:
pls give brainliest
Step-by-step explanation:
l w +l x w=22 + 33 x 24 + 12=55 x 36 =1980
A square has a perimeter of 36 cm. What is the length of each side?
Answer:
a square has all its sides equal so you divide by 4
to get 9cm
hope it helps!Answer:
4cm
Step-by-step explanation:
4tmes side gives as perimeter
4side =36
x=4
1
2. Four friends are on a boating excursion on the Gulf of Mexico. One is parasailing in the air, above
sea level. Two are scuba diving in the water, below sea level. One is swimming on the surface, at
sea level.
Which integer represents the elevation of the friend who is swimming on the surface?
A.-2
B. O
C. 1
D.4
The integer that represents the elevation of the friend who is swimming on the surface is 0.
What are integers?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that consists of the following:
Positive Numbers: If a number is greater than zero, it is considered positive. For instance, 1, 2, 3, etc.Negative numbers are those that are less than zero. For instance: 1, 2, 3, etc.Zero is described as being neither a positive nor a negative number. A whole number, that is.Given:
Two are scuba diving in the water, below sea level. One is swimming on the surface, at sea level.
We know that the the region below sea level represented by negative integers and the region above sea level represented by positive integers.
Thus, if the scuba driver is on the surface then it neither negative nor positive.
So, it would be represented by zero.
Hence, the integer that represents the elevation of the friend who is swimming on the surface is 0.
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
50 POINTS - GEOMETRIC PROOFS (TvT) - will give brainly
(in the image) What would the empty space for 8. be? (i was thinking symmetric or reflexive but i don't know :c ) Also, are the ones filled out in pencil correct?
thanks for your time :D
Step-by-step explanation:
<ADC is 90
in triangle ACD
<CAD + ACD + ADC = 180
<CAD + ACD + 90 = 180
<CAD + ACD = 90
hence CAD AND ACD MAKES complementary angle(90)
Angle sum property
<ADC is 90°
As
Sum of angles in triangle is 180°
<CAD+<ACD=180-90=90°Hence they are complementary
Which expression is equivalent to -9k-3-9k-4−9k−3−9k−4?
-25−25
-7-18k−7−18k
-25k−25k
-12k-13−12k−13
Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.
t=3.673900
Explanation:Given
df = 28df=28 -- degree of freedom
Area = 0.005Area=0.005
Required
Determine the t-value
The given parameters can be illustrated as follows:
P(T > t) = \alphaP(T>t)=α
Where
\alpha = 0.005α=0.005
So, we have:
P(T > t) = 0.005P(T>t)=0.005
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900
Hence, t = 3.673900t=3.673900
Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day? Show your work and check whether your answer makes sense. Show how you can tell that your answer makes sense
Answer:
it's 2.9 that's how. I get the qnswer
What is the perimeter of a square with a side length of 7 cm?
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
Answer:
D. 28 cm
Step-by-step explanation:
P=4s
P=4(7)
P=28
Answer:
D. 28cm
Step-by-step explanation:
P = 4s
P = 4(7cm)
P = 28cm
=> D. 28cm
(a) Make y the subject of 3y - 2x = 5.
(b) Hence, find the value of y when x= -2.
Answer:
a) 5/2
b) 1/3
Step-by-step explanation:
a) 3y-2x=5 to find the value of y let we replace x by 0
then solve it
Answer:
(a) y = 2/3x + 5/3
(b) y = 1/3
Step-by-step explanation:
(a) Make y the subject of 3y - 2x = 5
3y - 2x = 5
+ 2x + 2x ==> isolate the variable y, by adding 2x to both sides
3y = 2x + 5 ==> divide both sides by three
/3 /3
y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer
(b) Using 3y - 2x = 5 or y = 2/3x + 5/3, find the value of y when x= -2
y = 2/3x + 5/3
y = 2/3(-2) + 5/3 ==> substitute -2 for x
y = -4/3 + 5/3 ==> add the fractions
y = 1/3 ==> the value of y, our final answer
OR
3y - 2x = 5
3y - 2(-2) = 5 ==> substitute -2 for x
3y - (-4) = 5
3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides
- 4 - 4
3y = 1 ==> divide both sides by 3
/3 /3
y = 1/3 ==> your final answer
Hope this helps!
PLEASE HELP ME WITH THIS!!!!!
For the given experiment of spinning a spinner and drawing a card, we will see that:
A) Yes, the events are independent.B) P(3 and A) = 1/16C) P(5 and C) = 0D) P(4) = 1/4 P(B or C) = 1/2E) P(3 and not D) = 3/16What are independent events?
We say that two events are independent if the outcome of one does not affect the outcome of the other.
In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.
How to get the probabilities?
B) First we want to get the probability of getting 3 and A.
The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:
p = 1/4
Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:
q = 2/8 = 1/4
The joint probability is the product of the two individual probabilities, we have:
P(3 and A) = p*q = 1/4*1/4 = 1/16
C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.
D) P(4) is the probability of drawing the card with the number 4, this is:
p = 1/4
P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:
q = (2 + 2)/8 = 1/2
E) P(1 and not D) is equal to: P(1 and A or B or C).
P(1) is 1/4.
P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)
Then the joint probability is:
P(1 and not D) = (1/4)*(6/8) = 3/16
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?
A)x = -3 or 2
B)x=6/5 or -1
C)x = 3 or -2
D)x = -6/5 or 1
5x² + x - 6 = 0
Δ = 1² - 4*5*(-6) = 121 = 11²
x' = (-1 - 11) / (2x5) = -12/10 = - 6/5
x" = (-1 + 11) / (2x5) = 10/10 = 1
=> D
The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Example; ax² + bx + c = 0
Given that the quadratic equation,
[tex]f (x) = 5x^2 + x - 6[/tex]
Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.
[tex]f (x) = 5x^2 + x - 6[/tex]
[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]
[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]
[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]
[tex]f (x) = (5x + 6) (x - 1)[/tex]
Hence, the value of zeroes,
[tex]5x + 6 = 0[/tex]
[tex]5x = - 6[/tex]
[tex]x = \dfrac{- 6}{5}[/tex]
And, [tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
So, the value of x is x = - 6/5 and x = 1. Hence option D is true.
To learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ4
Each tick mark shows 1 third. What's
1
3
more than 1?
2
1
2
3
1
3
0
Answer:
Step-by-step explanation:
1/3 more than 1 is 1 1/3 or 4/3.
if a new baseball is labeled $36 what would the new price be if the sign above said 41% off
Answer:
$24.24
Step-by-step explanation:
0.41 x 36 = 14.76
36 - 14.76 =21.24
Hope this helps :)
Use the multiplier method to increase £56 by 14% you must show your working out
Answer:
Step-by-step explanation:
First, we have to find 14% of 56
14% of 56 is = 56 x 14/100
= 7.84
Now we have to increase the number 56 by 14%, which means we have to add 14% of 56 (7.84) to the given number (56)
56 + (14% of 56)
= 56 + 7.84
= £63.84
Eman skateboarded 24 miles in 2 hours on Monday and 6 miles in half an hour on Wednesday . Hiro has been tracking his speed while riding his bike also. He noticed that he can bike 15 miles per hour. What is Eman's unit rate?
Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.
What is his unit rate?The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.
Average speed = total distance / total time
24/2 = 12 miles per hour
To learn more about average speed, please check: https://brainly.com/question/21734785
Solve for the missing angle
Answer:
[tex]\displaystyle 55,7[/tex]
Step-by-step explanation:
[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
OR
[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Please help! will give brainlest!
ΔA'B'C' was constructed using ΔABC and line segment EH.
2 triangles are shown. Line E H is the line of reflection. Line segment B B prime has a midpoint at point D. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.
For to be the line of reflection between and , which statements must be true? Select three options.
BD = DB'
DF = FG
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.
Answer: 1,3,4
Step-by-step explanation:
Answer: 1., 3., and 4.
Step-by-step explanation: On Edge!!