Please help!!! Suppose a new student starts school today and your teacher asks you to teach her how to find decimal equivalents for fractions. What would you tell her? How would you convince the student that your method works?

D=x

E=(4/5)•x

F=E+38

F=(4/5)•x+38

G=F-5

G=(4/5)x+38-5

G=(4/5)x+33. ⟨——answer for A

64.5=[d+e+f+g]/4

64.5=[5x/5+4x/5+4x/5+38+4x/5+33]/4

4•64.5=9x/5+8x/5+71

258=17x/5+71

258-17=17x/5

241=17x/5

5•241=17x

1205/17=x

70.88=x

G=(4/5)x+33

G=(4/5)(70.88)+33

G=89.7 ⟨——answer to part B

Gabriel's marks in terms of x is (G = 4x/5 + 38) and if the average mark of the four boys is 64.5 then Gabriel's marks for the Mathematics test is 89.7.

Given :

Score of David in the mathematics test is given by:

D = x

Score of Edwin in the mathematics test is given by:

[tex]\rm E = \dfrac{4}{5}x[/tex]

Score of Frank in the mathematics test is given by:

[tex]\rm F = \dfrac{4}{5}x + 38[/tex]

Score of Gabriel in the mathematics test is given by:

G = F - 5    ---- (1)

a) Now, substitute the value of F in the equation (1)

[tex]\rm G = \dfrac{4x}{5}+38-5[/tex]

[tex]\rm G = \dfrac{4x}{5}+33[/tex]

b) Given that the average mark of the four boys is 64.5 that is:

[tex]\rm \dfrac{G+F+E+D}{4}=64.5[/tex]

Now, substitute the values of G, F, E, and D in the above equation. After simplifying the expression:

[tex]258=\dfrac{17x}{5}+17[/tex]

Further, simplify the above expression it becomes:

x = 70.88

So, Gabriel's marks for the Mathematics test is:

[tex]\rm G = \dfrac{4\times 70.88}{5}+33[/tex]

G = 89.7

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Answer:

im positive that the answer is c because when you look at where the arcs meet to the parallel lines, if you were to make a line connecting the two points, you would have a parallel line to the transversal

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Step-by-step explanation:

The corresponding angles are equal. Then the diagram which justified the parallel lines and corresponding angles is C.

When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

More about the parallel lines link is given below.

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Answer:

0.89

Step-by-step explanation:

because if you see 0.8 & 0.9 it = 0.80 and 0.90 so 0.89 is in between

Answer:

y = 3

Step-by-step explanation:

Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (4,-3). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 3.

Answer:

the equation that is equal to X+3X=36

Step-by-step explanation:

since they have 36 all together, we know thier total is 36. since it says that julie has three times mary, i used x to represent mary. so julie is 3x. now we know the equation x(Marie)+3x(JUlie)=36(total)

Answer: 7 (g-3) = 42

Step-by-step explanation: 7 (g-3) = 42 is the correct answer.

7 represents the cost for each person and g-3 represents the number of guests minus 3 because she does not have to pay for the first 3. 42 is the total that she paid.

Answer:

The cost of one burger is $2.95

The cost of one fry is $1.45

Step-by-step explanation:

Let

x----> the cost of one burger

y---> the cost of one fry

we know that

[tex]5x+2y=17.65[/tex] ----> equation A

[tex]2x+3y=10.25[/tex] ----> equation B

Using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (2.95,1.45)

see the attached figure

therefore

The cost of one burger is $2.95

The cost of one fry is $1.45

Answer:

(200π - 12)ft

or

616.32 ft

Step-by-step explanation:

Given in the question,

there are four circle around which corn will be planted.

radius of first circle = 10 ft

radius of second circle = 20 ft

radius of third circle = 30 ft

radius of fourth circle = 40ft

circumference = 2πr

First circle

2π(10)-3

20π -3

Second circle

2π(20)-3

40π-3

Third circle

2π(30)-3

60π-3

Fourth circle

2π(40)-3

80π-3

Add them up

80π - 3 + 60π - 3 + 40π - 3 + 20π - 3

(200π - 12)ft

or

616.32 ft

Answer:

5/6

Step-by-step explanation:

1/6 of 5 is the same:  (1/6)(5) = 5/6

Answer: 5/6

Work Shown:

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 1/6 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

All you need to do is convert the whole number to a fraction and then multiply the numerators and denominators.

1 x 5

6 x 1

=

5/6

The complete and simplified answer to the question what is 1/6 of 5 is:

5/6

Hopefully this answer has helped you to understand how to find the fraction of any whole number.

- Thanks.

Answer: H = 7.5 or 7 1/2

Step-by-step explanation:

2/5 * H = 3

0.4 * H = 3

0.4 * 7.5 = 3

Answer:

BBAB, ABAB, and BABA

Step-by-step explanation:

Use the probability/combination theorem.

Answer:

121°

Step-by-step explanation:

Therefore; ∠ x = 1/2 mABC

Thus; 360° - 118° = 242°

Using the formula; ∠ x = 1/2 mABC

Then; d = 242/2

            = 121°

Answer:

–7/2 ≤ x ≤ 5/2

Step-by-step explanation:

Given in the question an inequality

| 2x + 1 | ≤ 5

–5 ≤ 2x + 1 ≤ 5

–6 – 1 ≤ 2x + 1 -1 ≤ 6 – 1

–7 ≤ 2x ≤ 5

–7/2 ≤ x ≤ 5/2

Then the solution to | 2x + 1 | ≤ 5 is the interval –7/2 ≤ x ≤ 5/2

Graph is attach below

The solution to the absolute value inequality |2x + 1| ≤ 5 is the interval -3 ≤ x ≤ 2. To find this, two separate inequalities are solved based on the non-negative and negative cases within the absolute value. The graphical representation is a closed interval from -3 to 2 on the number line.

To solve and graph the absolute value inequality |2x + 1| ≤ 5, we need to consider two cases based on the definition of absolute value.

We then solve these two inequalities:

The solution set is the intersection of these two sets of numbers, which is -3 ≤ x ≤ 2. Graphically, this is represented on the number line as a closed interval from -3 to 2.

Answer:

Answer is. >

√85 > 8.9860

Step-by-step explanation:

√85 > 8.9860

This means that √85 is greater than 8.9860

This is because;

√85 = 9.2195...

9.2195.. is greater than 8.9860..

Answer:

>

Step-by-step explanation:

Answer:

x=3,2,-1,-4

Step-by-step explanation:

The roots (zeros) are the x

values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

Answer:

The correct answer option is: meter.

Step-by-step explanation:

We are to determine whether which of the given measurements is a little more than 3 feet.

To find that, we will use the conversion:

1 meter = 3.28084 foot

1 centimeter = 0.0328084

1/4 foot [tex] \neq [/tex] 3 foot

Keeping these values in front of us, we can clearly see that its the unit meter which is equal to a little more than 3 feet.

Final answer:

The measurement that is a little more than 3 feet is a meter, which is approximately 3.28 feet, whereas a yard is equal to 3 feet. Meters are used to measure larger objects and distances.

Explanation:

The correct answer to which measurement is a little more than 3 feet is a meter. A meter is a unit of length in the metric system, and it is used to measure larger objects or distances. One meter is approximately equal to 3.28 feet, which makes it slightly longer than a yard (3 feet).

Comparatively, a centimeter is much smaller, with 100 centimeters making up 1 meter. A ruler typically contains markings for centimeters and can also include millimeters, which are even smaller units of the metric system – there are 10 millimeters in one centimeter.

When comparing metric to customary units, a yard is the closest customary unit in length to a meter. Since there are 3 feet in a yard, and a meter is roughly 3.28 feet, a meter stick is somewhat longer than a yardstick.

Therefore, among the options provided (meter, centimeter, centileter, and 1/4 foot), the measurement that is a little more than 3 feet is a meter.

Answer:

y = 4 - sin⁻¹x

Step-by-step explanation:

1. Reflection about y = x

If we reflect a function ƒ(x) about the line y = x, we are creating its inverse, ƒ'(x).

Thus, reflection of y = sinx  about y = x gives y = sin⁻¹x.

The range of the reflection extends from -∞ to +∞, but the range of the function y = sin⁻¹x is [-π/2, π/2] (see Fig. 1) .

2. Reflection about y = 2

Reflection about y = 2 retains the sign of x but changes the sign of y.

Note, however, that in Figure 2 the point at (0, 0) is reflected to (4, 0).

The function is translated up by four units.

After the two reflections, the equation of the line is

y = 4 - sin⁻¹x

Answer:

Step-by-step explanation:

The surface area consists of 3 rectangles of the sides, and the two base triangles.

The front rectangle has dimensions of 12x9, so it's area is 108 in²

The back rectangle has dimensions of 7x12, so it's are is 84 in²

The side rectangle has dimensions of 4x12, so it's area is 48 in²

The top and bottom triangles have a base of 9 and a height of 3, so their area is

A = (1/2)(9)(3) = 27/2, but there are 2 of them, so their combined area is (27/2)(2) = 27 in²

The total surface area is 108 + 84 + 48 + 27 = 267 in²

The formula for volume of a triangular prism is

V = (1/2)bhd    where b is the base of the base triangle, h is the height of the base triangle, and d is the depth of prism.

We have b = 9, h = 3, and d = 12, so the volume is

V = (1/2)(9)(3)(12)

   V = (1/2)(27)(12)

           V = (1/2)(324)

Answer:

21

Step-by-step explanation:

Answer:

[tex]n=-14[/tex]

Step-by-step explanation:

The given expression is

[tex](x^3)(x^{-17})=x^n[/tex]

Recall that; [tex]a^m\times a^n=a^{m+n}[/tex]

We apply this property to the left hand side to obtain;

[tex]x^{3+-17}=x^n[/tex]

This simplifies to;

[tex]x^{3-17}=x^n[/tex]

[tex]x^{-14}=x^n[/tex]

Since the bases are the same; the exponents are also the same.

[tex]\therefore n=-14[/tex]

Answer:

23

Step-by-step explanation:

4c = 92

He needs to solve for c. He needs c alone on the left side. c is being multiplied by 4. The opposite operation to multiplication is division, so he needs to divide the left side by 4. The rule with equations is that you must do the same operation to both sides, so he must divide both sides of the equation by 4.

4c/4 = 92/4

c = 23

Answer: He needs 23 cans of balls.

Answer:

23

Steps:

1) Put it into a equation:

4 • C = 92

2) divide both sides:

4 divided by 4 = crosses out

92 divided by 4 = 23

3) C=23

The angle of the waterslide, as measured by George using the folded paper, is 60 degrees. He found this by multiplying the paper angle of 20 degrees by the number of paper angles (3) that fit in the slide's angle.

The question is asking for the angle made by the waterslide and the ground. Given that a sheet of folded paper forms a 20-degree angle, and three of these paper angles fit in the angle made by the slide, we need to find the total angle.

To solve this problem, you simply multiply the angle of the paper by the number of paper angles that fit in the slide's angle. Here's how you do it:

So, the angle of the waterslide is 60 degrees.

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The angle of the waterslide is approximately 6.67 degrees.

The angle of the waterslide can be found by dividing the angle formed by the folded paper by the number of folded paper angles that fit in the waterslide angle.

In this case, the angle formed by the folded paper is 20 degrees, and the number of folded paper angles that fit in the waterslide angle is 3.

Therefore, the angle of the waterslide is 20 degrees divided by 3, which is approximately 6.67 degrees.

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Answer:The surface area would be 1809.56units

Step-by-step explanation:

Answer:

576 pi units^2

Step-by-step explanation

I got it wrong and I'm giving you all the answer :)

Answer:

0.1875 gallons

Step-by-step explanation:

For every cup there is 0.0625 liquid gallons. To find 3 cups times 0.0625 x 3 then you get the answer 0.1875 liquid gallons. Please give me the brainliest answer.

Answer:

0.1875

Step-by-step explanation:

Divide the cups by 16 and you will have your answer.

Hope this helps!

Answer:

about 7.6 days long

Step-by-step explanation:

42 divided by 5.52 = about 7.6

Answer:

Step-by-step explanation:

a² + b² = c²

8² + 7² = c²

64 + 49 = c²

113 = c²

c = √113 = 10.63 units

The length of C for the triangle is 10.63 units

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of C is calculated by using the Pythagorean theorem.

a² + b² = c²

8² + 7² = c²

64 + 49 = c²

113 = c²

c = √113 = 10.63 units

Therefore, the length of C for the triangle is 10.63 units

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Answer:

D

Step-by-step explanation: dosnt need to be all congruent see the question says "similar" not ecactly the same

Answer:

50%

Step-by-step explanation:

Is means equals and of means multiply

4 = P * 8

Divide each side by 8

4/8 = P 8/8

.5 = P

Multiply each side by 100 to change from decimal form to percent form

50% = P

4 is 50% of 8

Answer:

Step-by-step explanation:

[tex]\begin{array}{ccc}\$8&-&100\%\\\\\$4&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\8p=(4)(100)\\8p=400\qquad\text{divide both sides by 8}\\p=50\ (\%)[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

(-4,5) Quadrant II

Step-by-step explanation:

1) Think of drawing the letter C, starting at the upper right of the Quadrant to identify Each Quadrant, and Doing so will help knowing where Point C is.

2) After that identifying the point is simple X coordinate is Horizontal and Y coordinate  is vertical X come before Y.

3) your answer will be (-4,5) Quadrant II

Hope This helps

(-4,5) Quadrant II so down -4 and up 5

Answer:  [tex]\large{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{x^2y^4}=x^{\frac{2}{8}}y^{\frac{4}{8}}=\huge\boxed{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]