Whats the solution 8h – 3 = 11h + 12?

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

Answer:

They both have 3 up ig

Step-by-step explanation:

answer: 3a^4 is the correct answer

Answer:3a^4

Step-by-step explanation:

Answer: see attached file

Step-by-step explanation: see attached file for explanation. Thanks!

Answer:12

Step-by-step explanation:bcs in 1/3 it  has the same denominatoor

The right answer is Option D: $5.44

Step-by-step explanation:

Given,

Cost of one sun visor = $6.25

Cost of 11 sun visors = 6.25*11 = $68.75

Cost of one sunglasses = $8.90

Cost of 4 sunglasses = 8.90*4 = $35.60

Cost of one water bottle = $9.50

Cost of 8 water bottles = 9.50*8 = $76

Cost of one whistle = $1.75

Cost of 15 whistles = 1.75*15 = $26.25

Total number of items = 11+4+8+15 = 38

Total cost of items = 68.75+35.60+76+26.25 = $206.60

Average = [tex]\frac{Sum\ of\ prices}{No.\ of\ items}[/tex]

[tex]Average=\frac{206.60}{38}\\Average=\$5.436[/tex]

Rounding off to nearest hundredth

Average = $5.44

The average price of an item is $5.44

The right answer is Option D: $5.44

Keywords: average, sum

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The race-car will have to go for 730 miles

Step-by-step explanation:

The given is:

We need to find how far it will have to go

∵ The car will move around the park

- That means it moves the distance equal the perimeter of the park

∵ The dimensions of the park are 4.6 mile long and 2.7 miles wide

∵ The perimeter of the park = 2(length + width)

∴ The perimeter of the park = 2(4.6 + 2.7)

∴ The perimeter of the park = 2(7.3)

∴ The perimeter of the park = 14.6 miles

∵ The car will move around the park 50 times

∵ The distance of one round is 14.6 miles

∴ The distance for 50 rounds = 14.6 × 50

∴ The distance for 50 rounds = 730 miles

The race-car will have to go for 730 miles

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Answer: 4

Step-by-step explanation:

The amplitude is the distance from the baseline to the maximum.

The shortest possible height of tower is 24 cm.

Tim used 4 blue blocks and his brother used 3 green blocks.

Step-by-step explanation:

Given,

Height of blue block = 6 cm

Height of green block = 8 cm

We will take least common multiple to find the shortest possible height.

6 = 2*3

8 = 2*2*2

LCM = 2*2*2*3 = 24 cm

The shortest possible height of tower is 24 cm.

Number of blue blocks used = [tex]\frac{24}{6} = 4[/tex]

Number of green blocks used = [tex]\frac{24}{8} = 3[/tex]

Tim used 4 blue blocks and his brother used 3 green blocks.

Keywords: LCM, multiplication

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Answer:

1/8

Step-by-step explanation:

1 chance of of 4 cards. * because since she draws 4 times you do 4+4 = 8.

Answer:

The coordinates of the mid-point are :

[tex](\frac{1}{2}, \frac{5}{2})[/tex]

Step-by-step explanation:

We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by

[tex](x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

[tex]x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}[/tex]

[tex]y = \frac{5+0}{2} = \frac{5}{2}[/tex]

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is [tex](\frac{1}{2}, \frac{5}{2})[/tex].

Answer:

Neither

Step-by-step explanation:

Can be determined because there is enough information (Length, width, and height).

Not congruent because from the picture itself, the figures are in different sizes.

Not similar because:

The height ratio is not the same as the ratios of other dimensions.

1 : 4 is not similar to 6 : 12 and 4 : 8

Answer:

968 ways

Step-by-step explanation:

This is a question of permutation and combination.

Each equation can have two different answers.

Thus the total number of cases will be (for 10 questions) :

[tex]2*2*2*2*.....10times=2^{10}[/tex] cases.

Now to find the number of ways to at least answer 3 questions False will be total minus the number of question with at most 2 False answers.

Total ways (at most 2 answers false) = [tex]1+10_C_1+10_C_2[/tex] ;

∴

The number of ways in which at least 3 have False as the answer is :

[tex]2^{10}-(1+10_C_1+10_C_2)\\=968[/tex] WAYS.

Answer:

(∞,-5)

Step-by-step explanation:

For a line to have a slope of 0, it has to be horizontal.

Any point that has a y value of -5 could form a horizontal line along with (0,-5).

Answer:

272,100

This is because 62 rounds up

Answer:

272,100

You get this answer by looking at the hundreds place and then looking at the right of it. The hundreds place is the 0 and the the right of it is 6, so 5 and up round up 4 and down round down and in this case, 6 is above 5, so it rounds up to 272,100!

Hope this helped!

Answer:

Mass Media

Step-by-step explanation:

Answer: Got an (A) on my test, it is (Mass media)

Step-by-step explanation: OOOOFFF is my word

Answer:

Hence Proved AB = DF

Step-by-step explanation:

In the Figure:

Given;

CD = EF

AB = CE

We need to prove AB = DF

Solution:

CD = EF    ⇒ (Given)

Now Adding both side by DE we get;

CD + DE = EF + DE   ⇒by the (Addition) Property of Equality.

CE=CD + DE and DF = EF + DE ⇒(Segment Addition)

Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]

CE = DF           ⇒by the (transitive) Property of Equality.

Now Given:

AB = CE

CE = DF

Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]

AB  = DF    ⇒by the (Transitive) Property of Equality)

The correct options to fill in the gaps are:

From the diagram given, we have that;

We are to show that the segment AB is congruent to DF

Also from the diagram

Similarly, given that:

AB = CE and CE = DF implies AB = DF by the Transitive Property of Equality.

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Answer:

m = -1/2

Step-by-step explanation:

As we move from the point (-1, 7) to the point (3, 5), x increases by 4 (this is the "run") and y decreases by 2 (this is the "rise").

Thus, the slope of the line connecting these two points is

m = rise / run = -2/4, or m = -1/2.

Answer:

1/2

Step-by-step explanation:

Answer:

120 ways

Step-by-step explanation:

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Answer:

56

Step-by-step explanation:

add

Answer:

You have to simplify the equation and find the answer

Step-by-step explanation:

[tex]4x + ( - 4) = - 2x + 8 \\ \\ 4x + 2x = 4 + 8 \\ \\ 6x = 12 \\ \\ x = 2[/tex]

Answer:

Step-by-step explanation:

4x+(-4) = -2x+8

4x - 4 = -2x + 8

Collecting like terms

4x + 2x = 8 + 4

6x = 12

Dividing through by 6

x = 12/6

x = 2

Answer:

The fraction of trip completed by Andre is  [tex]\frac{31}{24}[/tex] km

Step-by-step explanation:

Given as :

The Total distance between the home to a festival = 1 [tex]\frac{5}{8}[/tex] km

I.e The total distance between the home to a festival =  [tex]\frac{13}{8}[/tex] km

The distance cover by Andre before taking rest =  [tex]\frac{1}{3}[/tex] km

Let The fraction of trip completed by Andre = x km

So, According to question

The fraction of trip completed by Andre = The Total distance between the home to a festival - The distance cover by Andre before taking rest

or, x =  [tex]\frac{13}{8}[/tex] km - [tex]\frac{1}{3}[/tex] km

or, x =  [tex]\frac{39 - 8}{24}[/tex] km

∴ x = [tex]\frac{31}{24}[/tex] km

Or, The fraction of trip completed by Andre = x = [tex]\frac{31}{24}[/tex] km

Hence , The fraction of trip completed by Andre is  [tex]\frac{31}{24}[/tex] km Answer

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

We know that the total distance is

[tex]1\frac{5}{8}km[/tex] which is standard fraction would be [tex]\frac{13}{8}km[/tex].

So, Andre walks [tex]\frac{1}{3}km[/tex], that means he needs to walk the following distance to get to the festival

[tex]\frac{13}{8}-\frac{1}{3}=\frac{39-8}{24}=\frac{31}{24}km[/tex]

Now, to find the fraction of the tripe that represents the distance he already completed, we have to divide

[tex]\frac{1}{3} \div \frac{13}{8}=\frac{1}{3} \times \frac{8}{13}=\frac{8}{30}=\frac{4}{15}[/tex]

Therefore, we completed a [tex]\frac{4}{15}[/tex] part of the total distance.

Answer:

y-8=-3/2(x+8)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-3/2(x-(-8))

y-8=-3/2(x+8)

Final answer:

The equation of the line in the point-slope form that passes through (-8, 8) with a slope of -3/2 is y - 8 = (-3/2)(x + 8).

Explanation:

To write an equation in point-slope form for a line that passes through a given point with a known slope, we use the formula y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.

For the line that passes through the point (-8, 8) with a slope of -3/2, we substitute these values into the point-slope form equation:

y - 8 = (-3/2)(x + 8)

This equation represents the specific line asked in the problem.

$120 +$144 =$264

Alexndra earns $264

Answer:

[tex]P=4x\sqrt{26}\ units[/tex]

Step-by-step explanation:

we know that

The sides of a rhombus are all congruent and the diagonals are perpendicular bisectors of each other

so

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the length side of the rhombus      

a and b are the semi-diagonals

we have

[tex]a=2x/2=x\ units\\b=10x/2=5x\ units[/tex]

substitute the values

[tex]c^2=x^2+(5x)^2[/tex]

[tex]c^2=26x^2[/tex]

[tex]c=x\sqrt{26}\ units[/tex]

To find out the perimeter of the rhombus multiply the length side by 4

[tex]P=(4)(x\sqrt{26})[/tex]

[tex]P=4x\sqrt{26}\ units[/tex]

Answer:

For [tex](2x^2 + 8x - 8)[/tex], the group is CLOSED as it a polynomial.

Step-by-step explanation:

Here, the given polynomials are:

[tex]P(x)=(5x^2+2x-6)\\Q(x)=(3x^2-6x+2)[/tex]

Now, a group G is said to be CLOSED UNDER SUBTRACTION if,

a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G

Now, here:

[tex]R(x)  = P(x) - Q(x) = (5x^2+2x-6) - (3x^2-6x+2) = (2x^2 + 8x - 8)[/tex]

or, [tex]R(x)  = (2x^2 + 8x - 8)[/tex]

Also, R(x) is a POLYNOMIAL.

So, R(x) is an Element of group G.

So, the set G of polynomials.

Hence, for the polynomial  [tex](2x^2 + 8x - 8)[/tex], it will be a polynomial the group is CLOSED.

Answer:

The answer would be C

Step-by-step explanation:

Answer:

Theo Should use 1.3 cups of Sugar to make 24 cookies.

Step-by-step explanation:

Given;

Number of cookies required by recipe = 36 cookies

Number of cookies Theo wants to use = 24 cookies

Number of cups sugar recipe requires = 2 cups

We need to find Number of cups sugar Theo should use to make cookie according to recipe.

Now,

For 36 cookies = 2 cups of sugar

So For 24 cookies = Number of cups of sugar required for 24 cookies.

By Using Cross Multiplication we get;

Number of cups of sugar required for 24 cookies = [tex]\frac{24\times2}{36}= 1.33\ cups[/tex]

Hence Theo Should use 1.3 cups of Sugar to make 24 cookies.

Answer:

(1,12) and (2,12).

(- 5,1) and (- 5, 2).

Step-by-step explanation:

y = 12 is a line that is parallel to the x-axis and at a constant distance of 12 units above the x-axis. Therefore, the points on the line will have any x-coordinate but have a constant y-coordinate i.e. 12.

Therefore, the two points on the line y = 12 can be (1,12) and (2,12).  

x = - 5 is a line that is parallel to the y-axis and at a constant distance of 5 units left of the y-axis. Therefore, the points on the line will have any y-coordinate but have a constant x-coordinate i.e. - 5.

Therefore, the two points on the line x = - 5 can be (- 5,1) and (- 5, 2).  (Answer)

Option A

Volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches

Solution:

Given are the dimensions of bed

To find: volume of bed

Since bed is generally of cuboid shape, we can use the volume of cuboid formula

volume of cuboid is given as:

[tex]\text{ volume of cuboid } = l \times w \times h[/tex]

Where, "l" is the length and "w" is the width and "h" is the height of cuboid

From attached figure in question

[tex]l = 2\frac{2}{3} inches = \frac{3 \times 2 + 2}{3} = \frac{8}{3} inches[/tex]

[tex]w = 3 inches[/tex]

[tex]h = \frac{1}{3} inches[/tex]

Substituting the values in formula,

[tex]v = \frac{8}{3} \times 3 \times \frac{1}{3}\\\\v = \frac{8}{3} = 2\frac{2}{3}[/tex]

Therefore volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches

Answer:

1/392 cubic yard

Step-by-step explanation:

 V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³

Answer:

1/392

Step-by-step explanation:

i was foing this test and turns out this is right.

Answer:

[tex]y=1500\cdot(0.902)^T[/tex]

Step-by-step explanation:

Let T be the number of years since the start of the study and y be the area that the forest covers in [tex]\text{km}^2[/tex].

We have been given that at the beginning of an environmental study a forest cover an area of 1500 [tex]\text{km}^2[/tex]. Since then this area has decreased by 9.8% each year.

We know that an exponential function is in form [tex]y=a\cdot(1-r)^x[/tex], where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 9.8% into decimal as:

[tex]9.8\%=\frac{9.8}{100}=0.098[/tex]

We have been given that initial value (a) is [tex]1500[/tex].

Upon substituting our given values, we will get:

[tex]y=1500\cdot(1-0.098)^T[/tex]

[tex]y=1500\cdot(0.902)^T[/tex]

Therefore, our required exponential function would be [tex]y=1500\cdot(0.902)^T[/tex].