Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars. A. 3x+2=30B. x+2+3x=30C. 2x+3=30D. x+2x+3=30

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

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

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]

C that's because the angles are vertically opposite

commutative property is an example of the blank property.

What in mathematics is a commutative property?

What is a commutative property example?

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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Answer:[tex]75m^{2}[/tex]

Step-by-step explanation: Just have to square root 5625m2 to get each side length

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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The bracelet price on which company get its maximum profit  is 8 thousand dollar

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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The number of cookies that she has when she reaches home is given by the following algebraic expression:

n = 15 + c.

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).

The problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.

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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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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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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.

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)

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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Answer:

i cant really see the words

Step-by-step explanation:

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)

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.

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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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

The solution to the expression | a − 5 | − 1 is 2

Expressions are mathematical statements that are represented by variables, coefficients and operators

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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The missing lengths of the sides of the congruent triangles described are:

AC = 25 units.

PQ = 3 units.

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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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

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]

Answer:

23

Step-by-step explanation:

3-(-20)

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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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).

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 allegation that the proportion has increased from that of earlier studies is not supported by enough data.

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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Answer:

y=-1/3x+5

Step-by-step explanation:

Use rise/run

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)