Find a pair of real number whose sum and product are both 12

Answer:-0.625

Step-by-step explanation:

Answer:

143 miles

Step-by-step explanation:

Let x = number of miles

Let y = total cost

150.55 = .92x + 18.99  Multiply all the way through by 100 to clear the decimal

15055 = 92x + 1899  Subtract 1899 from both sides

13156 = 92x  Divide both sides by 92

143 = x

The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.

The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

based on the available facts;

Divide: 17/6 : 8/10

= 17/6· 10/8

= 17 · 10/6 · 8

= 170/48

= 85/ 24

= 85/24

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.

Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.

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The value of a in the equation in the simplest form will be 17 / 6.

We are given an equation:

x³ / x^(1/6) = x^(a)

We need to evaluate the left hand side to find the value of a in the equation in simplest form.

We know that:

x^ (a) / x^ (b) = x^ ( a - b)

Using this, we get that:

x^ (3 - 1/6) = x^ (a)

x^ (17/6) = x^ (a)

By comparing the bases, we get the value of a as:

a = 17 / 6.

Therefore, the value of a in the equation in the simplest form will be 17 / 6.

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Answer:

x = 3.25

Step-by-step explanation:

Use the Rule of 3 to solve this

Work in picture

Answer:

Step-by-step explanation:

Indutivo

Answer:

1/5 mile

Step-by-step explanation:

1/10 mile in 1/2 second

This can be written as a ratio:

1/10 mile : 1/2 second

We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.

2 × 1/10 mile : 2 × 1/2 second =

= 2/10 mile : 1 second

= 1/5 mile : 1 second

Answer: 1/5 mile

The change as a percentage is 6.7 %

The price of the building in the year 2021 is $4,200,00

The price of the building in 2021 is $4,500,000

Therefore the percentage change can be calculated as follows

= 4,500,000 - 4,200,000/4,500,000 × 100

= 300,000/4,500,000 × 100

= 0.066 × 100

= 6.7 %

Hence the percentage change is 6.7%

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Answer:

The answer will be -5/2.

Step-by-step explanation:

[tex]4x + 2 = - 8 \\ subtracting \: 2 \: from \: each \: sides \: we \: get \\ 4x + 2 - 2 = - 8 - 2 \\ 4x = - 10 \\ diving \: both \: sides \: by \: 4 \: we \: get \\ \frac{4x}{4} = \frac{ - 10}{4} \\ x = \frac{ - 5 \times 2}{2 \times 2} \\ x = \frac{ - 5}{2} [/tex]

Answer:

4/5 is the slope of the line

The missing coordinate of the points is 7

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Points (x1, y1) = (x, 5) and (x2, y2) = (3, 3)

The slope of a linear equation is calculated as

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

So, we have

1/2 = (3- 5)/(3 - x)

Evaluate the differences

So, we have

1/2 = -2/(3 - x)

Cross multiply

So, we have

3 - x = -4

This gives

x = 3 + 4

Evaluate the sum

x = 7

Hence, the missing coordinate of the points is 7

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well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]

[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]

Answer:

A, B, C yes

D no

Step-by-step explanation:

A. is a no-brainer. yes, that is indirectly implied.

B. this is compared to D a hidden assumption, that the money you give is guaranteed to be spent on worthwhile causes (not to mention what THAT actually means).

C. this goes combined with B. it is suggested that charity A is not engaging in unworthy causes (again, whatever that means).

D. is not hidden. that is openly said.

The cost of the car is $27,546

The sales tax is 7%

Jorge bought a ford mustang having a sales tax of $1,928.22

Therefore the cost of the car can be calculated as follows

1928.22÷ 7/100

= 1928.22/0.07

= 27,546

Hence the cost of the car is $27,546

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The experimental research conducted by the scientist takes into account the following factors:

a)The change in temperature is the independent variable.

b) The effect of temperature on the chimp's act of aggression is the dependent variable.

c)The dependent variable is continuous.

d)The scale of measurement used to measure the dependent variable is interval.

e) The research method being used here is experimental.

In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.

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Answer:

(1, 7)

(2, 14)

(3, 21)

(4, 28)

Step-by-step explanation:

Answer:

Circumference = 2πr=2×

7

22

​

×7=44 cm

Area = πr

2

=

7

22

​

×7×7=154 cm

2

Answer:

With a circle with radius 7 cm, the circumference of given circle is 14π (cm) and the area is 49π (cm²).

Step-by-step explanation:

Given: radius = 7 cm

Circumference of a circle: C = 2πr

C = 2πr

Substitute given value radius.

C = 2π(7)

Multiply 7 and 2.

C = 14π cm.

Area of a circle: A = πr²

A = πr²

Substitute given value radius.

A = π(7)²

Square the 7.

A = 49π cm²

The statement 5 > -6 is the correct statement.

In this question, we have been given some mathematical statements.

We need to select the correct statement.

We know that, on the number line , numbers to the right are greater than numbers to the left.

Consider 1st statement

-2 < -3

If we see these numbers on the number line, then -2 is right to -3. This means, -2 is greater than -3.

So, above statement is False.

Consider 2nd statement

1 = -1

If we see these numbers on the number line, then we can observe that both the numbers are not equal.

So, above statement is False.

Consider 3rd statement

5 > -6

If we see these numbers on the number line, then 5 is right to -6. This means, 5 is greater than -6.

So, above statement is True.

Therefore, the statement 5 > -6 is the correct statement.

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Answer:

Janayea should have moved the decimal point 0.079 two places to the left to get 0.00079%.

Answer:150 ounces

Step-by-step explanation:

An integer to describe 6 meters above the sea level would be [tex]+6[/tex] meters.

As per the question statement, We are supposed to use an integer to describe the following situation "6 meters above sea level".

We assume that sea level is the datum line and anything above that would be positive and below that would be negative.

So 6 meters above the sea level can be described as [tex]=6meters[/tex].

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Answer:1/2 / 7/8 = 8/14 = 4/7

Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7

Part 1

[tex]y-4=x-2[/tex]

Part 2

[tex]y=x+2[/tex]

Part 3

[tex]x-y+2=0[/tex]

The investment in  Fund B is $2000.

To understand the given question we first have to understand the logic of percentage and how it affect the return on Investment.

If an investment fund returns a profit on an investment then the profit is calculated by multiplying the investment with the profit(in decimal form).

For Example: If the investment is A and profit is x % then the profit is calculated by:

Profit =A×([tex]\frac{x}{100}[/tex])

Now in the given problem, let us consider the amount of investment into the Fund B be x.

Profit in Fund B=10%

Profit in Fund A is 3%.

Investment in Fund A=$5000

Total profit from both investments=3% of 5000+10% of x

[tex]=\frac{3}{100}\times 5000 + \frac{10}{100}\times x\\ =150+0.1x[/tex]

Now the total investment=5000+x

The combined profit for both the Investments is 150+0.1x

But the combined profit is 5% for both investments.

profit=[tex]5\% of(5000+x)[/tex]

[tex]=\frac{5}{100}\times (5000+x)\\=0.05\times5000+0.05x\\=250+0.05x[/tex]

Now the profit is same, so if we equate both the expressions of profit we get a linear equation in x.

[tex]\therefore 250+0.05x=150+0.1x\\or,250-150=0.1x-0.05x\\or,100=0.05x\\or,x=2000[/tex]

Thus we can conclude that she invested $2000 in the Fund B.

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hi

with " x' a number then  :  

6 -9X

Answer:

a+b/2b is an rational no. because LHS is always equal to RHS. therefore our assumption is wrong. hence , 2√2-1 is an irrational number.

The value of e from the given equation is -1.78

Linear functions are function that has a leading degree of 1

Given the expression below;

0.75(8+e)=2-1.25e

Expand to have;

0.75(8) + 0.75e = 2-1.25e

6 + 0.75e = 2 - 1.5e

6-2 = -1.5e - 0.75e

4 = -2.25e

e = 4/-2.25

e = -1.78

Hence the value of e from the given equation is -1.78

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Answer:

w= 3 feet

h= 5 feet

Step-by-step explanation:

H=height; W=width=2H-7ft

W=2H-7ft

2H+4W=22ft Substitute for W

2H+4(2H-7ft)=22ft

2H+8H-28ft=22ft Add 28 ft to each side.

10H=50ft

H=5 ft ANSWER 1: The bookshelf is 5 feet high.

W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft

ANSWER 2: the bookshelf is 3 feet wide.

CHECK:

2H+4W=22ft

2(5ft)+4(3ft)=22ft

10ft+12ft=22ft

22ft=22ft

Hope this helps!