We can represent the length in Zach's car model by x
Since we have been given that Ginny's car is 2 more than 3 times the length of Zach's car, then we can get the expression as follow
[tex]\begin{gathered} 3\text{ times the length of Zach's car is} \\ 3\times x=3x \\ \end{gathered}[/tex][tex]\begin{gathered} 2\text{ more than 3 times the length of Zach's car will be} \\ 2+3x \end{gathered}[/tex]Therefore,
Ginny's model will be 2 + 3x
Next, we are told that the sum of the lengths of both cars is 30 inches
Then
[tex]\begin{gathered} Zach\text{+}Ginny=30 \\ x+2+3x=30 \end{gathered}[/tex]Therefore,
The answer is
[tex]x+2+3x=30[/tex]Thus, the answer is Option B
What is the shaded area???
Answer:
Area of circle is 9π cm²
Step-by-step explanation:
- If area of the area of the square is 36 cm², the length of one side of a square can be found;
[tex]{ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}[/tex]
- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;
[tex]{ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}[/tex]
- Therefore, let's find the area;
[tex]{ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}[/tex]
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}[/tex]
What is an equation in point-slope
form of the line shown in the
graph, using the point (2, 2)?
8
6
4
2
OY
y
2
x^
X
Answer:
Step-by-step explanation:
Jan 15, 2020 — this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2). heart outlined. Thanks 10.
2 answers
·
10 votes:
Answer:this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2)
Missing: OY | Must include: OY
Assume AABC
ALMN. If AB = 41,
MN = 38, and LN = 25, what is the length
of AC?
1 Assume AFGH = APQR if FH = 3
QR = 4.5, what is the length of
FG:
, and
PQ
The missing lengths of the sides of the congruent triangles described are:
AC = 25 units.
PQ = 3 units.
What is the Side Lengths of Congruent Triangles?The corresponding side lengths of any two or more triangles that are congruent to each other are always equal in measure. That is, the three sides of one triangle have lengths that are equal to the corresponding three sides of the other triangle, if both triangles are congruent triangles.
We are told that triangles ABC and LMN are congruent to each other, therefore:
AB = LM = 41 units [corresponding sides]
AC = LN = 25 units [corresponding sides]
BC = MN = 38 units [corresponding sides].
Therefore, the length of AC is 25 units.
Also, it is assumed that triangles FGH and PQR are congruent triangles, therefore:
FG = PQ = 3 units [corresponding sides]
GH = QR = 4.5 units [corresponding sides]
Therefore, the length of PQ is 3 units.
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A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in
dollars) is modeled by:
P(x) = −2x² + 16x − 24
-
What bracelet price should the company set to earn this maximum profit?
The bracelet price on which company get its maximum profit is 8 thousand dollar
what is function?A rule or law that define an relationship between one variable to another variable
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
P(x)= -2x^2 +16 x-24
a=-2 and b = 16
x= -b/2a= -16/2 x -2 = 4
Now we plug in 4 for x and find out P(4)
P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
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Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
[tex]f(x)=f(x)=\,\,-2(x-3)^2+5−2(x−3) 2 +5[/tex]
f(x) is maximum at x=3 and the maximum value of f(x) = 5.
The highest and smallest values of a function, respectively, can either be found inside a specific range or across the entire domain. They are sometimes referred to collectively as the function's extrema. The plural forms of the maximum and minimum functions are maxima and minima, respectively.
The given quadratic function is [tex]f(x) = -2 (x-3)^{2} +5[/tex]
Comparing it with [tex]f(x) = a (x-h)^{2} +k[/tex]
Here, a= -2, h =3 and k = 5.
Since a is negative, so parabola is open downward.
Therefore, the quadratic function has a maximum value.
Here, the vertex is (h,k) =(3,5)
Therefore, f(x) is maximum at x=3 and the maximum value of f(x) = 5.
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Aisha can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Aisha needs to earn at least $150 this week to pay for a trip with her
friends. Determine the number of regular and early morning hours that Aisha could work.
Answer:
Minimum 7 early morning hours
Maximum 13 regular hours
Step-by-step explanation:
x: number of regular hours
y: number of early morning hours
i) x + y = 20
ii) 7x + 8.5y = 150
ii - 7i
1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3
x + 20/3 = 20 --> x = 40/3 = 13 1/3
She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.
How do I solve for number 4 and 5?
Answer:
i cant really see the words
Step-by-step explanation:
Helena was curious if quadrilaterals QRSTQRSTQ, R, S, T and XYZWXYZWX, Y, Z, W were congruent, so she tried to map one figure onto the other using transformations:
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
Given,
Two quadrilaterals = QRST and XYZW
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
How should the facts be explained?
According to the information provided, Helena was interested to know whether the quadrilaterals were congruent.
The quadrilaterals in this instance cannot be mapped into one another via a series of stiff transformations, hence they are not congruent.
As a result, no mistakes are made.
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write each expression as the product of two factors h•3+6•3
Answer:
3(h + 6)
Step-by-step explanation:
Since we are starting with
h•3 + 6•3, try to see that there are two terms here h•3 and 6•3. In both of these terms is the factor 3. We can factor out the 3. This leaves behind (h + 6).
h•3 + 6•3
= 3(h + 6)
Its like "un-distributive" property. (this is not a technical term)
HELP PLEASE DONT IGNORE
Answer:
Y=3/4x-2
Step-by-step explanation:
Atleast I think so
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)
Select the correct answer.
Which expression is equivalent to the given expression?
(6n-5) (3n-³)²
A. 301
36
OB. 547.30
367.30
O A.
O c.
O D. 511
54
Answer:
[tex] \frac{54}{n {}^{11} } [/tex]
Step-by-step explanation:
[tex](3n {}^{ - 3} ) \times (3 {n}^{ - 3} )[/tex]
[tex]6 {n}^{ - 5} \times 9n {}^{ - 6} [/tex]
[tex]54 {n}^{ - 11} [/tex]
[tex] \frac{54}{n {}^{11} } [/tex]
A square play area has an area of 5625m2. How long is each side
Answer:[tex]75m^{2}[/tex]
Step-by-step explanation: Just have to square root 5625m2 to get each side length
-n/3 is greater or equal than 0.75
Please help me with this equation
Answer: n<= -2.25
Step-by-step explanation:
1) Lay the equation out
[tex]\frac{-n}{3} \geq 0.75[/tex]
2) Multiply 3 on both sides to leave n by itself.
[tex]-n \geq 0.75*3\\-n \geq 2.25\\\\[/tex]
3) Multiply -1 on both sides.
Note: Multiplying -1 will flip the sign.
[tex]n \leq 2.25*-1\\n\leq -2.25[/tex]
4) Answer
n<= -2.25
Use the graph on the right to locate points D, E, and G
5. Locate D so that ABCD is a rectangle.
6. Locate E so that ABCE is a trapezoid
7. Locate G so that ACBG is a parallelogram that is not a rectangle
The graph on the right to locate points D, E, and G is, 5.D(0, 3), 6. E(0, 2), 7. G(0, -3).
What is graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below.
Rectangle: Rectangles have parallel opposite sides; therefore, D must be positioned such that CD is parallel to AB and AD is parallel to BC. This necessitates that point D be.
D(0, 3)
Trapezoid: A trapezoid has one set of parallel opposed sides. As a result, we must select point E such that either AE or CD are parallel to AB.
We have picked point E in the accompanying picture so that AE and BC are parallel.
E(0, 2)
Keep in mind that point E might be somewhere left of point C on line y=3 or above point A on line x=0. Point D and point E cannot be in the same place.
E(0, p) or E(q, 3) where p > 0, q < 8, and p≠3, q≠0
Parallelogram: The middle of each parallelogram is where its diagonals connect. As a result, the midway of AB and CG must coincide. We need to have... in order for that to occur.
A + B = C + G
G = A + B - C = (0, 0) +(8, 0) -(8, 3) = (0+8-8, 0+0-3) = (0, -3) (0, -3)
Point G is located where...
G(0, -3)
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Part 1
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-1,4,9,14
( 50 points ) Can some1 help me figure out these ???
Volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
As given,
Dimensions of fish food cubes:
Length=1/4 ft
Width=1/4 ft
Height=1/4ft
a. Volume of fishing food cube=Length ×width ×height
=(1/4)×(1/4)×(1/4)
=(1/64)ft³
b. Volume of big box
=(Number of boxes) ×(volume of fishing food cubes)
=2×(1/64)
=(1/32)ft³
c. Dimensions of shipping box
Length=3ft
Width=3 3/4 ft
=15/4 ft
height=3 1/4 ft
=13/4 ft
Volume of shipping box=3 × (15/4) ×(13/4)
=(585/16) ft³
Therefore, volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
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HELP PLEASE!! due at 8pm tonight.
Answer:
y=-1/3x+5
Step-by-step explanation:
Use rise/run
Mrs. Carpio purchased 30 cookies. She gives half of the cookies to her students. Then, she purchases some more, c, cookies on her way home.
The number of cookies that she has when she reaches home is given by the following algebraic expression:
n = 15 + c.
Which algebraic expression models the situation?The initial number of cookies that she has is given by:
30.
(as stated in the problem).
She gives half of that amount to her students, hence the number of cookies that she has remaining is:
0.5 x 30 = 15 cookies remaining.
(to find the half of an amount, we can either divide by 2 or multiply by 0.5).
Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:
15 + c.
(she had 15, and then c was added to that amount).
Missing informationThe problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.
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What is the difference in
elevation between 3 feet above
sea level and 20 feet below sea
level?
Answer:
23
Step-by-step explanation:
3-(-20)
results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. a random sample of 200 high school seniors from this city reveals that 162 plan to attend college. does this indicate that the percentage has increased from that of previous studies? test at the 5% level of significance. what is the p-value associated with your test of hypothesis?
The allegation that the proportion has increased from that of earlier studies is not supported by enough data.
What is Hypothesis test?Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters
Let p represent the population percentage.
Then, Null hypothesis : H₀:p=0.79
Alternative hypothesis : H₀:p>0.79
The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.
Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.
Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)
p`=162/200=0.81
Population percentage test statistic:
[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]
[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72
Consequently, the sample test statistic's z-value is 0.72.
Right-tailed test P-value:
[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]
≈[tex]1-0.7642375[/tex]
≈[tex]0.2357625[/tex]
≈[tex]0.2358[/tex]
We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).
Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.
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the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
Answer:
92F
Step-by-step explanation:
the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
= 90 - (-2)
= 90 + 2
= 92F
Question 17 of 25
What is the measure of BVD?
B
105⁰
V
D
A. 95°
B. 75°
C. 105°
D. 115°
C that's because the angles are vertically opposite
Evaluate the expression if a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1 . | a − 5 | − 1
The solution to the expression | a − 5 | − 1 is 2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
| a − 5 | − 1
Also, we have the values to be
a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1
Substitute these values in the given equation
So, we have the following equation
| a − 5 | − 1 = | 2 − 5 | − 1
Evaluate the difference
So, we have the following equation
| a − 5 | − 1 = | −3 | − 1
This gives
| a − 5 | − 1 = 3 − 1
Evaluate the difference
| a − 5 | − 1 = 2
Hence, the value is 2
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I’m trying to do this equation I put the right question but it dosent work pls help ASAP
Answer:
x < 10
set builder notation: (-∞ , 10)
Step-by-step explanation:
2(x - 4) < 12
multiply left side out:
2x - 8 < 12
add 8 to both sides:
2x - 8 + 8 < 12 + 8
2x < 20
divide both sides by 2:
2x/2 < 20/2
x < 10
in set builder notation: (-∞ , 10)
Solve the system of linear equations using the substitution method.
X = 5 and 2x + y = 10
A. (5, -5)
B. (5, 0)
C. (2, -2)
D. (2, -1)
Answer:
B
Explanation:
x = 5
2x + y = 10
Substitute x = 5 into 2x + y = 10
2(5) + y = 10
10 + y = 10
y = 0
Hence, coordinates are (5,0).
2(x+3)
2x+6
This is an example of the blank property.
4x-3
x=2
4(2)-3
The blank property is use here.
commutative property is an example of the blank property.
What in mathematics is a commutative property?
This law basically indicates that while adding and multiplying integers, you can rearrange the numbers in a problem without modifying the solution. Division and subtraction do not work commutative.What is a commutative property example?
Commutative characteristic of addition: The sum is unaffected by the arrangement of the addends. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4, plus 2, equals 2, plus 4. 4 + 2 = 2 + 44. Changes to the order of the addends have no effect on the sum, because of the associative property of addition.2(x+3) = 2x+6
Commutative Property used in this function.
4x-3
put x=2
4(2)-3 = Commutative Property used in this function.
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need this asap!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Triangle ABC has two given angles: 105 degrees and 47 degrees. Because a triangle has a total of 180 degrees, then angle BCA has angle 180 - 105 - 47 = 28
Angle BCA and Angle CAE are alternative interior angles, meaning they are equal. Thus angle CAE should be 28 degrees
The table represents a quadratic function. Write an equation of the function in standard form.
x | 3,4,5,6
y | 10,7,10,19
I don't know how to find the vertex for this
The equation of the function in standard form is 3x + y = 25.
What is a quadratic function?
f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
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what is 2 and 2 add together
2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"
so the answer to your question is 6
Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. How much do they have in their wallets?
I ONLY HAVE A FEW MINUTES LEFT TO TURN THIS IN!!
If Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. The amount they have have in their wallets is : Army has $22.33, Ravi $89.33, Henry $15.33.
How to determine wallet amount?Let Army represent x dollars
Let Ravi represent 4x
Let Bob represent x - 7
Hence,
x + x - 7 + 4x = 127
Simplify by combining like terms
6x - 7 = 127
Add 7 to both sides of the equation leaving 6x
6x = 127+7
6x = 134
x =134/6
x = 22.33
x = Army has $22.33
Ravi
4x where x = 22.33
4(22.33) = 89.33
Bob
x - 7 where x = 22.33
22.33 -7 = 15.33
Prove :
Ravi + Bob + Henry = 127
= 22.33 +89.33 + 15.33 = 126.99 ≅127 (Approximately)
Therefore the have $22.23, $89.33 and 15.33 respectively.
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