The numerator of a rational number is 7 less than the denominator .If the denominator is increased by 9 and the numerator by 2, we again get the same rational number. Find the Number

Harry has 49.792 units.

Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:

1) Carrie has 0.125 more than Larry:

[tex]y = x + 0.125[/tex] (1)

2) Larry has 0.75 more than Harry:

[tex]x = z + 0.75[/tex] (2)

3) In total, they have 151:

[tex]x + y + z = 151[/tex] (3)

Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:

[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]

[tex]3\cdot x -0.625 = 151[/tex]

[tex]3\cdot x = 151.625[/tex]

[tex]x = 50.542[/tex]

And the remaining solutions are, respectively:

[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]

Harry has 49.792 units.

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The greatest common factor of the whole numbers 56 and 16 will be 8.

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The numbers are given below.

56 and 16

The factor of the number 56 will be given as,

56 = 8 x 7

The factor of the number 16 will be given as,

16 = 8 x 2

Then the greatest common factor of the whole numbers 56 and 16 will be 8.

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Answer:

Step-by-step explanation:

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points. Label the legs of the triangle.

Hope this helps ?

Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]

Step-by-step explanation:

Slope Intercept form is y=mx+b

Equation A:

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

=(8)(−3)+−10/5

=−24+−10/5

=−24+−2

=−26

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

(2x)⁻¹ × (4x)² = 8x

2x to the power of negative 1 is represented as follows

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

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Answer:

7 boxes

Step-by-step explanation:

Answer:

[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

Step-by-step explanation:

Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]

so: [tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = 4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = 7[/tex]

[tex]y_2 = - 3[/tex]

Hence,

[tex]d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} } [/tex]

[tex]d = \sqrt{ {3}^{2} + ( - {9)}^{2} } [/tex]

[tex]d = \sqrt{9 + 81} [/tex]

[tex]d = \sqrt{90} [/tex]

Answer: 156 inches

Step-by-step explanation:

12 inches = 1 foot

In April, Ms Harris used 32 feet of ribbon for an art club. We will convert this to inches. This will b e:

= 32 × 12

= 384 inches

In May, she used 45 feet of ribbon . We convert to inches.

= 45 × 12

= 540 inches

We now calculate the difference in inches. This will be:

= 540 - 384 inches

= 156 inches

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

Answer:

8.7714

Step-by-step explanation:

Answer:

UE DESMOS PLUG INTO DESMOS

Step-by-step explanation:

Answer: 0.85 kilograms

Step-by-step explanation:

Answer:

Tariffs

Quotas

Export subsidies

Domestic subsidies

Import licensing

Exchange controls

Financial protectionism

Murky or hidden protectionism

Answer:

Step-by-step explanation:

7h-7h=0

We add all the numbers together, and all the variables

=0

h=0/1

h=0

Answer:

7in

Step-by-step explanation:

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units.

(I searched it up)

The length of TU is 7 in.

Hence, option C is correct.

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Quadrilateral ABCD is reflected over a line y

Hence preimage = ABCD and image = TURS

After reflection,

The new position of A = T

New position of B =U

New position of C = R and

New position of D = S

By transformation properties,

For reflection the scale factor is 1 and hence AB will have the same length as TU

Since,

AB = 7 inches,

Therefore,

TU = 7 inches.

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Answer:

5e-5

Step-by-step explanation:

I hope that is right

Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.

Step-by-step explanation:

Answer:

15x + 40

Step-by-step explanation:

5(3x + 8)

Use the distributive property and multiply 5 by 3x and 8

5(3x + 8)

15x + 40

Answer:

35% of 800

35% = 0.35

0.35 × 800 = 280

Your answer is 280 tickets ; 0.35 × 800

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Answer:

its -3959202 BTW this answer is :(

Step-by-step explanation:

6443

Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

Answer:

Step-by-step explanation:

∠4 is angle of elevation from ∠C to ∠D

Answer:

76

Step-by-step explanation: