Answer: He can use 3 x 5 = 15 and 15 + 3.
Step-by-step explanation:
Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.
Here to help!
The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the two cars be A
Now , the equation will be
Let the cost of the small toy car be = x
The cost of small toy car = $ 3
The cost of the large car = 5 x cost of small toy car
Substituting the values in the equation , we get
The cost of the large car = 5 x 3
The cost of the large car = $ 15
So , the cost of two cars = x + 5x
Substituting the values in the equation , we get
The total cost of the two cars A = 15 + 3
The total cost of the two cars A = $ 18
Therefore , the value of A is $ 18
Hence , the equation is A = x + 5x
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Please Help. Will Mark Brainliest Answer. A container of juice is taken from the refrigerator and poured into a pitcher. The temperature of the juice will warm to room temperature over time. The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator. Use the drop-down menus to complete the explanation of how the function models the juice warming over time. Dropdown possible answers: When t = 0, the temperature of the juice is -0.06, 0, 2.718, 32, 40, 72 degrees. As time increases, -32(2.718)^-0.06t gets close and closer to -0.06, 0, 2.718, 32, 40, 72. So, f(t) gets close and closer to -0.06, 0, 2.718, 32, 40, 72.
Answer:
When t= 0
f(t)= 40 degrees
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
Step-by-step explanation:
The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator.
f(t)=72−32(2.718)^−0.06t
When t= 0
f(t)=72−32(2.718)^−0.06(0)
f(t)=72−32(2.718)^(0)
f(t)=72−32(1)
f(t)=72−32
f(t)= 40 degrees
As t increases −32(2.718)^−0.06t
Let t= 1
=−32(2.718)^−0.06(1)
= −32(2.718)^−0.06
= -30.14
Let t = 2
=−32(2.718)^−0.06(2)
=−32(2.718)^−0.12
=−32(0.8869)
= -28.38
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
When t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°
Function representing the temperature of of the juice at any time 't' is,
[tex]f(t)=72-32(2.718)^{-0.06t}[/tex]
1). If t = 0,
[tex]f(0)=72-32(2.718)^{-0.06\times 0}[/tex]
[tex]=72-32(1)[/tex]
[tex]=40[/tex] degrees
2). If [tex]t\rightarrow \infty[/tex],
[tex]-\frac{1}{32(2.718)^{0.06t}} \rightarrow 0[/tex]
[As denominator of the fraction becomes larger and larger with the increase in the value of t, value of fraction gets smaller and smaller]
3). if [tex]t\rightarrow \infty[/tex], [tex]f(t)\rightarrow 72[/tex]
Therefore, when t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°.
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Rearrange the equation below to identify the variables a, b and c.
0 = 4x – 5x2
Answer:
a = -5x
b = 4
c = 0
Step-by-step explanation:
binomial equation is written in form of
[tex]ax^2 + bx + c = 0[/tex]
given equation
[tex]0 = 4x - 5x^2[/tex]
rearranging it we have
[tex]0 = - 5x^2 + 4x + 0[/tex]
comparing this equation with [tex]ax^2 + bx + c = 0[/tex]
comparing coefficient of variables with same power.
a = -5x
b = 4
c = 0
Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?
Answer:
-1/4
Step-by-step explanation:
Slope = y/x - y1/x1
=> -7/7 - (-3/-9)
=> -7 +3 / 7+9
=> -4/16
=> -1/4
The slope for the given coordinates of points is -1/4.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given points are (-9, -3) and (7,-7).
The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,
m = (y₁ - y₂)/(x₁ - x₂)
Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,
⇒ m = (-3 + 7)/(-9 - 7)
⇒ -1/4
Hence, the slope is obtained as -1/4.
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Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Answer:
4.61 m
Step-by-step explanation:
The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building
Using trig ratios
tan48° = H/d where H = height of taller building and d = their distance apart = 12 m
H = dtan48° = 12tan48° = 13.33 m
Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°
Using trig ratios
tan36° = h/d where h = height of shorter building
h =dtan36° = 12tan36° = 8.72 m
Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m
Can anyone help idk how to do it
Answer:
Carl can type 450 words in 5 minutes at that rate.
Step-by-step explanation:
Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)
if we multiply 90wpm by 5 Minutes, we get 450 words per minute
Which graph best represents the function f(x) = 2(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4
Graph of increasing exponential function going through point (0, 2)
=======================================================
Explanation:
Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.
Plug in x = 0 to find y
y = 2(1.5)^x
y = 2(1.5)^0
y = 2(1)
y = 2
We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.
Answer:
A. graph of increasing exponential function going through point 0, 2
Step-by-step explanation:
If 24, x, and 6 form the first three terms of an arithmetic sequence
then which of the following is the value of x?
(1) 12
(3) 20
(2) 15
(4) 42
===============================================
Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
------------
Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
------------
First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
PLEASE HELP 100 POINTS The correlation coefficient for poor hearing and loud music in a group of people is 0.67. Analyze the following statement: Poor hearing is caused by listening to loud music. Is this a reasonable conclusion?
Yes; everyone who listens to loud music has hearing trouble.
Yes; the correlation coefficient is above 0.5, so that implies causation.
No; the data does not suggest causation, and many people who listen to loud music can hear well.
No; poor hearing and listening to loud music are completely unrelated.
No; the date does not suggest causation, and many people who listen to loud music can hear well.
The following information should be considered:
The poor hearing should be arise by listening for loud mousic. So the date should not be recommended and various people should be listen loud music.Learn more: https://brainly.com/question/10309631?referrer=searchResults
WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.
Answer:
Yes, because the P(A)P(B) = P(A and B)
Step-by-step explanation:
Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;
P(A and) = P(A)P(B)
Given: P(A) = watching a movie = 62% = 0.62
P(B) = going out to dinner = 46% = 0.46
The probability of watching a movie and going out to dinner will be
P(A and B)
P(A and B) = 0.62×0.46
P(A and B) = 0.2852
P(A and B) = 28.52%
Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.
Ricky went to buy stationary to New Paper Mart. He found missing data in the bill as shown below. Find the values of A, B, C and D and complete the bill.
Answer:
The value of A = 36
The value of B = 42
The value of C = 30
The value of D = 12
Step-by-step explanation:
A= $6 x 6= 36
B= 336 ÷ 8= 42
C= $15 x 2= 30
D= 24 ÷ $2= 12
Find complete question in the attachment
The graph of a linear system is shown
Answer:
The coordinates of the point of intersection is (2, 7)
Step-by-step explanation:
From the graph, we have the two intersecting straight lines each described as follows;
The first straight line graph from the left, we have;
y-intercept = (0, 5), x-intercept = (-5, 0) therefore, the slope, m = (0 - 5)/(-5 - 0) = 1
The equation of the graph is slope-intercept form is y - 5 = 1×(x - 0)
Which gives;
y = x + 5.........................(1)
The second lie graph has y-intercept = (0, 9), x-intercept = (9, 0) therefore, the slope, m = (0 - 9)/(9 - 0) = -1
The equation of the graph in slope-intercept form is y - 9 = -1×(x - 0)
Which gives;
y = -x + 9.......................(2)
To find the point of intersection, we equate equation (1) to equation (2), which are the y-value function of x, we have;
x + 5 = -x + 9
x + x = 9 - 5
2·x = 4
x = 4/2 = 2
x = 2
From either equation (1) or equation (2), we can find the value of y as follows;
y = -x + 9, where x = 2 gives;
y = -2 + 9 = 9 - 2 = 7
y = 7
The coordinates of the point of intersection is (2, 7).
Need help 24 to 28 giving 30 points
Answer:
24 is a and d
25 is c
26 is b
27 is a and b
28 is b
Step-by-step explanation:
The value of 1.8/(0.4×0.3) is
Answer:
15
Step-by-step explanation:
1.8 over 0.4 multiply 0.3
Answer: 15
Step-by-step explanation:
1.8/(0.4×0.3)
=1.8/0.12
=15
Hope this helps!! :)
Solve for x. A. 19 B. 17 C. 15 D. 11
Answer:
B. 17
Step-by-step explanation:
By the property of intersecting secants outside of a circle, we have:
7 (7 + x) = 8 (13 + 8)
49 +7x = 8*21
7x = 168 - 49
7x = 119
x = 119/7
x = 17
asap!!
~~~~~~
A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?
Question 25 options:
y = –2x – 13
y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3
y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1
y = 2x + 5
click on picture for a, b, c ,or d
Answer:
y=−2x−13.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=−2x−5.
The slope of the parallel line is the same: m=−2.
So, the equation of the parallel line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.
Thus, a=−13.
Therefore, the equation of the line is y=−2x−13.
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
If x is 5, then 6x = _____. please help >-
Answer:
30
Step-by-step explanation:
6x
Replace 'x' with 5.
6(5) =
6 * 5 =
30
Hope this helps.
Answer:
30
Step-by-step explanation:
6 x 5 = 30
i need help please :(
Answer:
The answer is option 1.
Step-by-step explanation:
You have to apply Indices Law :
[tex] \frac{ {a}^{m} }{ {a}^{n} } ⇒ {a}^{m - n} [/tex]
So for this question,
[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 - ( - 5)} = {7}^{ - 3 + 5} = {7}^{2} [/tex]
Answer :
7²
[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = \\ {7}^{ - 3 - ( - 5)} = \\ {7}^{ - 3 + 5} = {?}^{2} [/tex]
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
If you want to add or subtract fractions, what is the first thing you need to do?
Answer:
take lowest common factor
Step-by-step explanation:
Answer:
Find the least common denominator for both fractions and set up the fractions so they can both contain that same denominator.
Step-by-step explanation:
For example, let's say you want to add the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{7}[/tex].
First, you will want to find the least common demoninator. Write out the multiples for both denominators originally given, in this case 4 and 7. Let's go up to 4*10 and 7*10:
4: 4,8,12,16,20,24,28,32,36,40
7: 7,14,21,28,35,42,49,56,63,70
Se which number in both sets is the first number to be the same in both sets. That will be your least common denominator. In this case, the least comon denominator is 28.
To set the fractions right, you would need to multiply the first fraction, 3/4, by 7/7: [tex]\frac{3}{4}*\frac{7}{7}=\frac{21}{28}[/tex]
Then, you would need to multiply the second fraction, 2/7, by 4/4: [tex]\frac{2}{7}*\frac{4}{4}=\frac{8}{28}[/tex]
Now, since both fractions have a common deonminator now, you can add them togther and simplify afterwards if you need to:
[tex]\frac{21}{28}+\frac{8}{28}=\frac{29}{28}=1\frac{1}{28}[/tex]
And that's it.
find the area of a trapezium which has a height 20 cm and its parallel sides are 7 cm and 8 cm long
Answer:
150cm²
Step-by-step explanation:
area of trapezium=1/2h(a+b)
=1/2×20(7+8)
=10(15)
=150 cm²
Answer:
The area of the trapezium is
150 cm²Step-by-step explanation:
The area of a trapezium is given by
[tex]Area = \frac{1}{2} (a + b) \times h[/tex]where
h is the height
a and b are the parallel sides of the trapezium
From the question
h = 20cm
a = 7cm
b = 8 cm
Substitute the values into the above formula
We have
[tex]Area = \frac{1}{2} (7 + 8) \times 20[/tex][tex]Area = \frac{1}{2} \times 15 \times 20[/tex][tex]Area = 15 \times 10[/tex]We have the final answer as
Area = 150 cm²Hope this helps you
which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?
The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
The equation is given as:
[tex]\mathbf{y = 0.5x + 5}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]
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3rd one i just did it on edge :P
Can someone tell me if this is correct?
Answer:
yes it is correct it is not the first one
because the lines are not the same size and are in the right direction
NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3
Answer:
Hey there!
93 ÷ 5 can be written as 93/5.
5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]
Let me know if this helps :)
A survey of 100 people found that 35 people exercise in
the morning, 45 people exercise in the afternoon, and 20
people exercise at night. Tara claims that 35:55, 45:80,
and 20:65 are possible ratios from this data. Jim claims
that 35:100, 45:100, and 20:100 are possible ratios from
this data. Who is correct? Explain.
Answer:
Jim's claim is correct
Step-by-step explanation:
Total survey=100 people
Morning exercise=35 people
Afternoon exercise=45 people
Night exercise=20 people
Morning exercise : Total survey
=35 : 100
Afternoon exercise : Total survey
=45 : 100
Night exercise : Total survey
=20 : 100
Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.
Tara's claim however seems to relate one variable with two other variables
Example:
35 : 55
Morning exercise : (morning exercise + night exercise)
35 : (35+20)
35 : 55
Answer:
Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilesif the Diameter of a cicle is 28cm calculate the perimeter
Answer:
Simple. 28pi
// pi is [tex]\pi[/tex].
Which is 88.0 by rounding tenth
Step-by-step explanation:
Please pick me brainliest.
Hope it helps!
Answer:
88 cm
Step-by-step explanation:
Perimeter = πd
= (22/7)× 28
= 88 cm
The inverse of the function graphed below is a function.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.
So, it would pass the vertical line test.
All the vertical lines on the graph would cross the graph at only single point (unique) point.
But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.
And if we draw any vertical line on the graph, it could cut the graph at two or more points.
Therefore, it would not pass the vertical line test and it would not be a graph of a function.
The inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
What is a function?A function is a relation between a dependent and an independent variable, say y and x respectively, written as y = f(x). Any such relationship will be called a function if and only if, there is only one value of y corresponding to every x.
We check for a graphed relation to be a function using the vertical test.
When is the inverse of a function also a function?The inverse of a function, say y = f(x), is given as x = f⁻¹(y), is also a function when f⁻¹(y) passes the vertical test, or simply y = f(x) passes the horizontal test.
What are vertical and horizontal tests?Vertical test: In the test, vertical lines are taken parallel to the y-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every vertical line ≤ 1, then the given relation passes the test, and it is a function.Horizontal test: In the test, horizontal lines are taken parallel to the x-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every horizontal line ≤ 1, then the given relation passes the test, and its inverse is a function.How to solve the given question?In the question, we are asked to tell whether the inverse of the given function graphed is also a function or not.
To check if the inverse is a function, we perform the horizontal test.
The given graph fails to pass the horizontal test, as for almost every line, the graph intersects two times to the line.
For example, the horizontal line y = 5, the graph intersects at two points.
Thus, the inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
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HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
Answer:
see below
Step-by-step explanation:
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
All exponent have to have the same number
42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5
Subtract the number
42 - 1.2 - 2.5 = 38.3
Add back the exponent
38.3 * 10 ^5
This is not in scientific notation
Move the decimal one place to the left and add one to the exponent
3.83 * 10^6
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
All exponent have to have the same number
3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
Add the numbers
3.3+2.6+.77 =6.67
Add back the exponent
6.67*10^9
This is in scientific notation
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
All exponent have to have the same number
8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4
Subtract
8.0 - 3.4 - .12 = 4.48
Add back the exponent
4.48* 10^4
This is in scientific notation
