Now, rename your answer so the fractional part is less than one.
5
5 11
+ = 5
8 8

Answer: All real numbers are solutions.

Step-by-step explanation:

−2(3x+2)≥−6x−4

Step 1: Simplify both sides of the inequality.

−6x−4≥−6x−4

Step 2: Add 6x to both sides.

−6x−4+6x≥−6x−4+6x

−4≥−4

Step 3: Add 4 to both sides.

−4+4≥−4+4

0≥0

Answer:

y = -4x+5

Step-by-step explanation:

Goes up the y-axis by +5, then, remember: rise over run for slope. In this case, you go down 4 and to the right 1, so -4/1 which is -4.

Answer:

3/10

Step-by-step explanation:

0.3 is 3 divided by 10, or 3/10

Answer:

24 13/34

Step-by-step explanation:

The distance covered by Dennis will be 9.23 miles.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.

Given that Dennis can walk about 2(5/6) miles each hour. The distance covered by Dennis in 3 hours 15 minutes will be calculated as:-

Distance = 2 ( 5 /  6)  x  3 hour 15 minute

Distance = 2.84 x 3 ( 1 / 4)

Distance = 2.84 x 3.25

Distance = 9.23 miles.

Therefore, the distance covered by Dennis will be 9.23 miles.

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Answer:

d = 19

Step-by-step explanation:

________________________________

FACTS TO KNOW BEFORE SOLVING :-

For a cuboid with dimensions l , b & h ,

Diagonal of a cuboid = [tex]\sqrt{l^{2} + b^{2} + h^{2}}[/tex]

________________________________

According to the question ,

l = 10 ; b = 6 ; h = 15

So , Diagonal of the cuboid (d) =

[tex]d = \sqrt{10^{2} + 6^{2} + 15^{2}} = \sqrt{100 + 36 + 225} = \sqrt{361} = 19[/tex]

Answer: 4 centimeters is 30 and then you would have to find half of 15 I'm pretty sure that's 7.5. Is there an answer that says: 37.5?

Answer:

37.50

Step-by-step explanation:

i think sorry if im wrong

Answer:

Yogurt : 0.5

Granola Bars: 1.5

Step-by-step explanation:

Answer:

x=2, y=3

Step-by-step explanation:

Answer:

$66.60

Step-by-step explanation:

Find out how much money Jerome earns from the 1.8% interest.

100% = 3700

1% = 3700 ÷ 100 = 37

1.8% = 37 x 1.8 = 66.60

(Final answer)

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

Learn more about exponential growth or decay here:

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Answer:

z=75

Step-by-step explanation:

Answer:Z=75

Step-by-step explanation: Since the line is a straight angle, and all straight angles are equal to 180 degrees, you can start building an equation by setting both 101 degrees and (z+4) degrees to equal 180.

Your equation will then be (z+4)+101=180

Add like terms to get z+105=180
Subtract using the subtraction property of equality to get z=75

Hope this helps and good luck with your future courses!

Answer:

32,800

Step-by-step explanation:

Answer:

7/17

Step-by-step explanation:

Turn 2 3/7 to an improper fraction: 17/7.

The reciprocal is basically the fraction reversed.

Reciprocal of 17/7 = 7/17

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Answer:

7/17 or & over 17

Step-by-step explanation:

2 3/7

= [2(7) + 3]/7

= 17 / 7

So a reciprocal would just be inverted!

Answer:

A

Step-by-step explanation: gcf = 7

Grouping: 7((x+2)(x-2))

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

(a )square root of 2 (c)

Answer:

Step-by-step explanation:

Answer:

25 + h

f^2

Step-by-step explanation:

It says the sum of 25 and h which is 25 + h.

Now, it basically says "25 + h" is divided by f cubed. Cubed means to the power of 2 (the exponent), so f cubed would be f^2 (f to the power of 2).

25 + h is divided by f^2

25 + h

f^2

(the reason I put "^2" is because I don't know how to put exponents on here, sorry)

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

Answer:

-8x+40 > -16

-8x > -16 -40

-8x > 56

x > 56/ -8

x > -7

Step-by-step explanation:

Answer:

The nth term of this sequence is  T = n^2 + 2n + 1

the general term is Tn = n^2 + 2n + 1

Answer:

C

Step-by-step explanation:

[tex]11.2y - 7.4y = 141.36 \\ 3.8y = 141.36 \\ y = 37.2[/tex]

the error he made is he added 7.4y+11.2y

Answer:

The answer is C

Answer:

Center is (-6,4) and the radius is √13

Step-by-step explanation:

Answer:

Total weight is 150 kg

Step-by-step explanation:

Firstly, we need the weight of the diagonal

To get this, we shall use the Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

The diagonals stand for the hypotenuse

Thus, we have that;

d^2 = 5^2 + 12^2

d^2 = 25 + 144

d^2 = 169

d^2 = 13^2

d = 13

The 6 sides technically includes the whole rectangle sides, then the two diagonals

The total length here is;

2(5 + 12 + 13) = 60 meters

Steel weight is 2.5 kg per meter

Weight of 60 m will be ;

60 * 2.5 = 150 kg

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least squares method to arrive at the geometric equation for the line, either though manual calculations or regression analysis software. A straight line will result from a simple linear regression analysis of two or more independent variables. A regression involving multiple related variables can produce a curved line in some cases.

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Step 1: Simplify both sides of the equation.

0.4(12−3x)=0.3(12x−16)

(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)

4.8+−1.2x=3.6x+−4.8

−1.2x+4.8=3.6x−4.8

Step 2: Subtract 3.6x from both sides.

−1.2x+4.8−3.6x=3.6x−4.8−3.6x

−4.8x+4.8=−4.8

Step 3: Subtract 4.8 from both sides.

−4.8x+4.8−4.8=−4.8−4.8

−4.8x=−9.6

Step 4: Divide both sides by -4.8.

−4.8x /−4.8  =  −9.6 /−4.8

x = 2

Answer:

a³-b³=(a-b)³+3ab(a-b)

          or

(a-b)(a²+b²+ab

Step-by-step explanation:

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The sequence will be {36, 33, 30, 27, ....}. Then the correct option is B.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

[tex]\rm a_n = a_1 + (n - 1)d[/tex]

Teegan accidentally ran over a nail while driving to school today.

Air is leaking out of her tire at a rate of 3 psi (pounds per square inch) per day.

If her tire has 36 psi now.

Then we have

a₁ = 36

d = -3

Then the sequence will be

The second term will be

a₂ = 36 + (2 – 1)-3

a₂ = 33

The third term will be

a₃ = 36 + (3 – 1)-3

a₃ = 30

The fourth term will be

a₄ = 36 + (4 – 1)-3

a₄ = 27

Then the sequence will be {36, 33, 30, 27, ....}.

Then the correct option is B.

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Answer:

{36, 33, 30, 27}

Step-by-step explanation:

It only asks for the next four days, not indefinitely.

Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.