Exercise 6
Choose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10×10 grid, a tape diagram, a double number line, etc.)

Answer:

50 qrts

Step-by-step explanation:

12.5 gal = 4x qrts

12.5 * 4 = 50

in 1/2 a gal. there is 2qt.

so that makes a gal = 4qt.

12 x 4 =48qt plus 2qt equals 50 qt

Answer:

75% (Letter grade = C)

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

We need to find out what your grade is.

Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.

1.  [tex]5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}[/tex]

Now we need to turn this fraction into a decimal.

In order to do that we need to divide our 3 by our 4.

2.  [tex]\frac{3}{4} = .75[/tex]

Finally, we need to turn this decimal into a percentage.

In order to do this we must multiply our decimal by 100.

3.  .75 * 100 = 75%

Feel free to give brainliest.

Have a great day!

Answer:

The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.

Step-by-step explanation:

It is the last option. The perpendicular bisector theorem states that if  a point lies on  the bisector of a segment it is equidistant from the endpoints.

Meaning

If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .

The first three choices are incorrect because

1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.

2) The base angles of any triangle can be different or same .

3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.

The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.

Recall:

From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.

Learn more here:

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Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok i want brainly ut idk the answer jk the 1st one is 60 and idk the rest

Answer:

1 3/16 inches

Step-by-step explanation:

3 3/4 = (3+12) / 4

2 9/16 = ( 9+ 32) / 16

15 / 4 - 41/ 16 make the denominators equal

15 × 4 / 4×4 - 41/ 16

= 60/16 - 41/16

= 19/16 convert it to Fractional number

= 16 + 3 / 16 = 1 3/16

Answer:

use a calculator and thank me lator

Step-by-step explanation:

that rhymed

Answer:

-4x - 1

Step-by-step explanation:

i used a calculator and got that

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

Let ABC be a right angled triangle where there's a right angle in B . Let the measure of the angle BAC be ∅. So,

[tex] \sin(∅) = \frac{BC}{AC} [/tex]

[tex] = > {\sin}^{2}∅ = \frac{ {BC}^{2} }{ {AC}^{2} } [/tex]

Also,

[tex] \cos(∅) = \frac{AB}{AC} [/tex]

[tex] = > { \cos}^{2}∅ = \frac{ {AB}^{2} }{ {AC}^{2} } [/tex]

Now adding the values of sin^2∅& cos^2∅,

[tex] { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {BC}^{2} }{ {AC}^{2} } + \frac{ {AB}^{2} }{ {AC}^{2} } [/tex]

[tex] = > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AB}^{2} + {BC}^{2} }{ {AC}^{2} } [/tex]

But we know that

[tex] {AC}^{2} = {AB}^{2} + {BC}^{2} [/tex] by applying Pythagorean Theorem

So ,

[tex] = > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AC}^{2} }{ {AC}^{2} } = 1[/tex]

Answer:

9/15/19

Step-by-step explanation:

angelas car leaked=6ounces

angeales car leaked in 9days = 6×9=54

Answer:

[tex]50[/tex]

Step-by-step explanation:

The prorportion of students that take a foreign language is [tex]\dfrac{5}{6}[/tex]

The total number of students is 150

Number of students who take a foreign language

[tex]\dfrac{5}{6}\times 150=125[/tex]

Out of these students [tex]\dfrac{2}{5}[/tex] portion of students take French.

Number of students that take French

[tex]\dfrac{2}{5}\times 125=50[/tex]

So, number of students that take French is [tex]50[/tex].

Answer:

The second and the last one

Step-by-step explanation:

There is no solution to the problem, meaning that nothing you plug in will make the equation equal to each other

Answer:

any input value for the variable will generate a true equation

Step-by-step explanation:

cuz the last answer will be 0x = 35

so it does not matter what value x hold cuz the answer will stay the same

Answer:

11:10

Step-by-step explanation:

1h15m + 40m + 25m + 30m = 2h50m

She'd need to start 2h50m before 2:00, which would be 11:10 I think

Answer:

The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]

Step-by-step explanation:

The standard form of equation is [tex]Ax+By=C[/tex]

Finding slope

Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]

Finding y-intercept

Using point (0,4) and Slope=-2/3 we can find y-intercept

[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]

Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]

So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]

=====================================================

Explanation:

This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.

See the diagram below.

---------------------

A nonvisual approach will have you plug each of the coordinates into the given inequality.

For instance, choice A has x = 0 and y = 2 pair up which plug in to get

y < (-2/3)x + 2

2 < (-2/3)*0 + 2

2 < 2

which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because

y < (-2/3)x + 2

0 < (-2/3)*0 + 2

0 < 2

which confirms the answer we got when we used the visual approach.

The correct answer is 4.8 hours

Explanation:

This mathematical problem can be solved by using the rule of three, which involves finding an unknown value by using three related values. The process is shown below:

1. It is known a fully charged battery (100% battery) lasts 16 hours. This can be represented as 100 = 16. But it is not know how much a 30% battery last; this can be represented as 30 = x.

2. Write all the values

100 = 16

30 = x

3. Cross multiply to create an equation and solve the equation

100 x = 48

x = 480 / 100

x = 4.8

Answer:

The next step is to Divide 35 by 5  then solve for x

Step-by-step explanation:

Answer:

Divide 35 by 5

Step-by-step explanation:

5x-8=27

   +8 +8. first step

5x=35

x=35/5 second step

Step-by-step explanation:

[tex]1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches[/tex]

There are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.

Important information:

Using the given information,

1 meter = 39.37 inches

Using this conversion, we get

[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times (8\cdot 10^4)[/tex] inches

[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times 80000[/tex] inches

[tex]8\cdot 10^4[/tex] meter = [tex]3149600[/tex] inches

[tex]8\cdot 10^4[/tex] meter = [tex]3.1496\cdot 10^6[/tex] inches

Therefore, there are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.

Find out more about 'Convert meter to inches' here:

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Answer:

i will give you tip

Step-by-step explanation:

if you want to make it easier for yourself you can turn them into whole numbers and here is how...

first find the common denominator for example for A it would be 12. then divide the denominators by 12

ex.

for the fraction -5/6 you would first divide 12 by 6 which is 2 and then multiply by numerator which is -5 so the answer woud be -10 and do the same thing for the other fractions and they will all be whole numbers so you dont have to deal with fractions.

pls mark brainliest this took me a while to explain if nots that ok :)

hope this helps

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

Subtract sides 3

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

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

Multiply sides by 6

[tex]6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\ [/tex]

[tex]3x = 4x - 12[/tex]

Subtract sides 4x

[tex] - 4x + 3x = - 4x + 4x - 12[/tex]

[tex] - x = - 12[/tex]

Negatives simplifies

[tex]x = 12[/tex]

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CHECK :

[tex] \frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\ [/tex]

[tex]6 + 3 = 8 + 1[/tex]

[tex]9 = 9[/tex]

Thus the solution is correct .

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Answer:

Translation. The translation transformation shifts a node from one place to another along one of the axes relative to its initial position. ...

Rotation. The rotation transformation moves the node around a specified pivot point of the scene. ...

Step-by-step explanation:

Answer:

Translation and rotation.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

y=2/3x+19/3

Step-by-step explanation:

plug into y-y prime = m (x-x prime)

Answer:

Okay

Step-by-step explanation:

Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.

So,

12x° + 8x° = 180°

20x°= 180°

x°= 180/20

x°= 9°

Hope you understand. Thank you

Answer:

y=-3

I hope this is good enough:

Answer:3 2/3

Step-by-step explanation:3 2/3 + 2/2=3 2/3

==============================================================

Explanation:

For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.

This means AC = BD.

Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations

We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.

---------------

By the segment addition postulate, we know that

BP+DP = BD

(-2x+23)+(3y-6) = BD

BD = -2x+3y+17

Since the diagonals are equal, we also know that AC = -2x+3y+17

We are given that AC = 2x+4

Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17

---------------

The conclusion of each the last two sections was the following two equations

We have two equations and two unknowns. We have enough info to be able to find x and y.

Let's isolate 3y in the first equation

-2x+23 = 3y-6

3y-6 = -2x+23

3y = -2x+23+6

3y = -2x+29

Then we can plug this into the second equation

2x+4 = -2x+3y+17

2x+4 = -2x+(3y)+17

2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29

Now solve for x

2x+4 = -2x+(-2x+29)+17

2x+4 = -2x-2x+29+17

2x+4 = -4x+46

2x+4x = 46-4

6x = 42

x = 42/6

x = 7

We then use this to find y

3y = -2x+29

3y = -2(7)+29

3y = -14+29

3y = 15

y = 15/3

y = 5

Answer:

I used the method of replacement on the sistem of equations.

The final answer I got was y=5