6 1/2 divided by 3/4 in simplest form

Answer:

Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...

y=−4x−3    y=−2x+1

-2x+1=-4x-3 substitute

-2x+4x=-3-1  move and combine like terms

2x=-4 divide

x=-2

Have a gud day!

Answer:

15 liters = 975

25 liters = 1625

Step-by-step explanation:

10 liters = 650

1 liter = 650/10 = 65

15 liters = 65 x 15 = 975

25 liters = 15 liters + 10 liters = 975 + 650 = 1625

-Chetan K

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

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Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

Answer:

GCF of 30 and 60 is 30.

Step-by-step explanation:

Answer:

The answer is 6.5

Step-by-step explanation:

It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5

Answer:

x = Infinite answers.

y = Infinite answers.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

2x + 2y = 6

2x + 2y = 6

=> Therefore, x and y have infinite values that can fit the equation.

Hoped this helped.

The angle formed by the ribbon and the pole is 29°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle formed by the ribbon and the pole.

Hence:

[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]

The angle formed by the ribbon and the pole is 29°

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Answer: x = 56  and y= 56

Step-by-step explanation: 124 + 124 = 248  

360 - 248 = 112

112 divided by 2 = 56

Using the given information the equation of the line is y = -3/2x + 2

Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:

Using X = 0:

y = -3/2(0) + 2, y = 2

First point is (0,2)

Now X = 4:

y = -3/2(4) + 2 = -6 + 2 = -4

Second point = (4,-4)

See attached image with plotted line:

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

Answer:

Step-by-step explanation:

Number of uniforms can be bought:

Amount to be spent:

Remaining amount:

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Answer:

∠KJL = 45°

∠x=45°

∠DBC=67.47°

Step-by-step explanation:

x+x=90

2x=90

x=45°

Answer: there you go

Step-by-step explanation:

Area(cube)=1.44cm²*6

=8.64cm²

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

Answer:

704 students can fit in the cafeteria a day

Answer: 11 hours and 29 min

Step-by-step explanation:

The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.

The percentage of a given number is the fraction of that number required for consideration.

To determine the required fraction of the given number in the question, express the given statement in mathematical terms.

So that:

16% of 50 = [tex]\frac{16}{100}[/tex] x 50

                 = 0.16 * 50

                 = 8

Thus 16% of 50 is 8.

Considering the steps required to solve the question and each statement of students, then Maxine is correct.

NB: The required image to the statement is attached to this answer.

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Answer:

y = 20

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

[tex]\frac{5}{12}[/tex] = k

y = [tex]\frac{5}{12}[/tex] xz ← equation of variation

When x = 6 and z = 8 , then

y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20

Answer:

The domain is x = all real numbers and the range is y >= 0.

Step-by-step explanation:

The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).

The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.

Answer:

Hello. The answer is : rectangle, rhombus

I cant think of a third one as yet.

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

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Answer:

x = 28

Step-by-step explanation:

1/7(x) = 4

Multiply all sides by 7

x = 4 x 7/1

x = 28/1

x = 28

-Chetan K

Answer:

n = 28

Step-by-step explanation:

Let the unknown be n.

Then the word problem translates into    n(1/7) = 4.

Multiplying both sides by 7 yields n = 28