Tristen is buying apples that cost $3 per pound. If he buys 7 pounds of apples, how much money did he spend?

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Explanation:

Let x be the number of gallons used up. It's some positive real number.

We'll use the formula

miles = (mpg)*(number of gallons)

to help figure out how much fuel is used. The trip is 432 miles, and the mpg rating is 31

So,

miles = (mpg)*(number of gallons)

432 = 31*x

31x = 432

x = 432/31

x = 13.9354838709678  which is approximate.

Multiply that with the 2.79 to get the final answer.

2.79*x = 2.79*13.9354838709678 = 38.8800000000001

The 1 at the very end is probably due to some rounding error, but then again it may be accurate. Either way, that value rounds to 38.88

Side note: The 31 mpg rating is very likely an average value and not the same throughout the trip. This is due to the car changing speeds at different points of the journey. In reality, the true answer will vary slightly from the 38.88 figure we just calculated (but it should be fairly close).

The total amount of money that Tom and his friend would spend on gas during the trip is $38.88.

The first step is to determine the total amount of gas that would be needed during the trip.

Gas that would be needed = 432 / 31 = 13.94

The second step is to multiply the gas that would be needed by the cost of gasoline: $2.79 x 13.94= $38.88

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Answer: -(-3/2 is equivalent also

Step-by-step explanation:

The reason why is because you take it out of the parentheses you will still have a negative fraction

Answer:

Step-by-step explanation:

Remark

The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)

PS = 208

PR = 74

Solution

x = 1/2 (208 - 74)

x = 1/2 (134)

x = 67

Answer:

21

Step-by-step explanation:

For the given equations , the solutions are as follows :

(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is  .

(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .

(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .

Equation (a) ;

the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,

we get ;

[tex]7x - 6x = 13 - 8[/tex] ;

[tex]x = 5[/tex] ;

So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .

Equation (b) ;

the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,

we get ;

[tex]6x + 8 = 6x + 8[/tex] ;

On solving further ,

we have ;

[tex]8 = 8[/tex] ;

So , the equation has infinitely many solutions .

Equation (c) ;

the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,

we get ;

[tex]8 = 13[/tex] ;

and we know that [tex]8\neq 3[/tex] ,

So , the equation have No Solution .

The given question is incomplete , the complete question is

For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.

(a) 6x + 8 = 7x + 13

(b) 6x + 8 = 2(3x + 4)

(c) 6x + 8 = 6x + 13

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Answer:

13

Step-by-step explanation:

7x -4 = 87

7x = 87+4 = 91

x = 91/7 = 13

If Lin is solving the inequality [tex]15-x < 14[/tex] and she know the solution is x = 1 , then the solution of  inequality is [tex]x > 1[/tex] .

The inequality that Line is solving is [tex]15-x < 14[/tex] ,

the solution of the equation [tex]15-x = 14[/tex] is given as x = 1 ;

we have to find the value of x for which the given inequality expression is true ,

Case(i) , let us take [tex]x > 1[/tex] ,

So , putting x = 2 , in the inequality ,

we get ; [tex]15-2 < 14[/tex]

= 13 < 14 , that is TRUE .

Case(ii) , let us take [tex]x < 1[/tex] ,

So , putting x  = 0 in the inequality ,

we get ; [tex]15-0 < 14[/tex]

= 15 < 14 , that is FALSE .

Therefore , the solution of the inequality is x > 1 .

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A graph of ΔABC with vertices A(0, 0), B (3, 3), and C (4, 0) and its image after a 90° rotation about the origin is shown in the image attached below.

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (0, 0) → Ordered pair A' = (0, 0)

Ordered pair B = (3, 3) → Ordered pair B' = (-3, 3)

Ordered pair C = (4, 0) → Ordered pair C' = (0, 4)

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Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."

The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.

2 dozen apples equals 24, and 24 divided by 8 is 3.

Therefore, the answer is 3.

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Answer:

7

Step-by-step explanation:

The volume of the building block in terms of x is V = x⁶/1728

Volume is the amount of space a substance occupies.

Since building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x²/12 centimeters, where x is the length of the packaging box.

Since the building blocks are in the shape of a cube, its volume is the volume of a cube.

The volume of a cube is given by V = L³ where L = length of side of cube.

To find the volume of the building block, since the length of the building block is L = x²/12, then we find the volume of the building block by substituting L into V.

So, V = L³

V = (x²/12)³

= x⁶/12³

= x⁶/1728

So, the volume of the building block is V = x⁶/1728

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Answer:A

Step-by-step explanation:

Taliban

Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.

Triangle congruence: Two triangles are deemed to be congruent if all three of their corresponding sides and angles have the same magnitude. Slides, rotations, flips, and turns can be used to make these triangles appear identical. They would be in alignment if they were moved. Congruence is represented by the letter "≅".

When two figures are similar to one another in terms of their size and shape, this is what mathematicians mean by congruence. It can be demonstrated that two triangles are congruent using four congruence rules in general. Finding all six dimensions is necessary, though.

Given that,

GH ≅ JH

FH ≅ HI

And,

∠GHF = ∠JHI

Therefore,

ΔGHF ≅ ΔJHI (SAS Congruency)

∴ FG = IJ (CPCT theorem)

Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.

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Straight line has the equation is, y = 5x - 4.

An endless number of points that are connected on both sides of the point make up a straight line.

The slope of a straight line, "m," is determined by:

m = y2 - y1 / x2 - x1

A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.

The graph's acquired points are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

  = 5/1

  = 5

The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, y = 5x - 4 is the equation for the straight line depicted below.

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Answer:

a) 3[tex]x^{4}[/tex]

b) 1024[tex]x^{10}[/tex]

Step-by-step explanation:

[tex]\frac{12x^{7} }{4x^{3} }[/tex]

[tex]\frac{3(4)xxxxxxx}{4xxx}[/tex]  We can cancel out a 4 and 3 x's.  That leaves

3xxxx

or 3[tex]x^{4}[/tex]

[tex](2x)^{2}[/tex] x [tex](2x)^{3}[/tex] x [tex](2x)^{5}[/tex]  can be written in expanded form

[(2)(2)xx] x [(2)(2)(2)xxx] x [(2)(2)(2)(2)(2)xxxxx]

(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)xxxxxxxxxx

1024[tex]x^{10}[/tex]

Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

Answer:

$302

Step-by-step explanation:

p(x) 3x^4 = x^4-3x^2+5

We put 3 in for x and solve

3(3)^4 = 3^4 -3(3)^2 + 5

3(81) = 81 -3(9) + 5

243 = 81 - 27 + 5

243 = 59

Then we add 243 with 59 and get

$243 + $59 = $302

So, they spend together $302

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The volume of a right square pyramid PABCD is 50.91 cubic units

Let l be the side length of right squared pyramid and h be the height.

We know that the formula for the volume of the right squared pyramid.

V = a²h / 3

And the formula for the height of right squared pyramid.

h = (1/√2)a

Here, the side length (a) = 6 units

So, using above formula of height,

h = (1/√2) × 6

h = 6/√2

h = 3√2 units

Now using the formula for the volume of the right squared pyramid, the volume of pyramid PABCD would be,

V = (6² × 3√2) / 3

V = 6² × √2

V = 36√2

V = 50.91 cubic units

Therefore, the volume of PABCD is 50.91 cubic units

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Answer:

1/12

Step-by-step explanation:

Assuming his choices are equally likely (important: he's choosing randomly)...

Probability of selecting chocolate: 1/4  (1 of 4 equally likely choices)

Probability of selecting waffle cone:  1/3

Probability of selecting both:  1/4 x 1/3 = 1/12

Now, if you'll excuse me, I'm off to get ice cream!  :-)

Answer:

Step-by-step explanation:

There are 100 cm in 1 meter. the dimensions are 400cm by 250cm. depending on which way you turn them, they will fit better. if you take 400 divided by 16, you will have a row of 25 wide and if you divide 250 by 10, you will have a length of 25. you now have 25 rows of 25. 25x25 is 625 tiles.

Hope this helps

Answer:

the answer is 20. 50% of 20 is 10 so if 10 preferred the one juice then there's 20 people total

Answer:20

Step-by-step explanation:

If x=all beings on Vreet

0.5x=10

x=10/0.5

x=20

Answer:B

Step-by-step explanation: Because it right

Answer: 24 bunches of cilantro

Step-by-step explanation:

1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.

2. Cross multiply. Now the equation should 1.60x = 38.40.

3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.

Answer:

24 bunches

Step-by-step explanation:

The person below is correct

Answer: 8.075: gotta get somebody else to do this one...sorry. and 0.08 = 8

Step-by-step explanation:

Did this with a classmate couple months ago. Hope this helps. :)

Answer:

Since she already has $565, her goal is $665.

5 × 20 = 100

w = 20 weeks

Answer:

17.3 if I am right mark me brainless pls

Answer:

−(b+20)

Step-by-step explanation:

The only thing we could possibly do is factor out the negative since there are no factors no squared numbers.

PLS MARK BRAINLIEST