WRITE INEQUALITY AND SOLVE• Lamar weighs 250 pounds. If he loses 10 pounds
and then 2 pounds per week after that, how many
weeks will it take him to weigh less than 175 pounds?

Answer:

$0.01 or 1 cent.

Step-by-step explanation:

Case: 12 quarts = $4.08

1 quart for case= $0.34

A quart normal= $0.35

0.35-0.34=$0.01

Answer:

f(-8) = 64

Step-by-step explanation:

Given conditions :

We have x = -8

⇒ It follows x < 0

Therefore, substituting x = -8 in the function :

Answer:

poly Gon have [tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex]

Answer:

F(t) = 5t

Step-by-step explanation:

velocity = distance/time

distance = velocity × time

v - velocity

t - time

d - distance

v = 5

Distance as a function of time:

F(t) = 5×t

where F(t) represents distance

A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.

velocity = distance/time

v - velocity

t - time

d - distance

v = 5

distance = velocity × time

Distance as a function of time

Therefore, F(t) = 5×t

Where F(t) represents the distance.

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Answer:

32

Step-by-step explanation:

Since we know 8 = 1/4

We can convert the 1/4 into a percentage:

8 = 25%

To get to 100% which is the full club we have to multiply both sides by 4:

8×4 = 25% ×4

32 = 100%

So there are 32 people in the club.

Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

Answer:

divided by 3 on both sides

Answer:

Your answer is k< -6

Step-by-step explanation:

Answer:

Area= MULTIPLICATION

So, 13x9x4x15x10=70200

70200 Square inches.

There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.

The formula for solving the area of a rectangle is [tex]A = lw[/tex]. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; [tex]A = 13 * 4[/tex]. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.

The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, [tex]A = 15 *10[/tex], as 15 represents the length and the 10 represents width. 15 × 10 = 150.

After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.

Answer: 196 degrees

Step-by-step explanation:

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]

[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]

Answer:

32

Step-by-step explanation:

Given :

Finding the propotionality constant

Finding P in Case (ii)

Answer:

x = 14.14 and y = 10

Step-by-step explanation:

Using trigonometric ratios;

10/x = cos 45

x = 10/(cos 45)

x = 14.14

y/10 = tan 45

y = 10 * tan 45

y = 10

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

Answer:

  1/3

Step-by-step explanation:

Your choice of answer must be consistent with the instructions.

The only answer with no exponent is the correct one:

  1/3

__

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

  3^(-4) × 3^3 = 3^(-4+3) = 3^-1

and

  a^-b = 1/a^b

so

  3^-1 = 1/3^1 = 1/3 . . . . written without an exponent

Scaled dimensions

Area:-

The area of the drawing is 71.25 square cm.

The area of Rectangle is length times of width.

The actual dimensions of the rectangle are 95 m by 75 m.

The drawing is made to a scale of 1 cm to 10 m, which means that each centimeter on the drawing represents 10 meters.

Let us find the area of the drawing

First calculate the area of the rectangle in real life, and then scale it down using the ratio of 1 cm to 10 m.

The area of the rectangle in real life is:

95 m × 75 m = 7125 square meters

To scale this down to the drawing, we need to divide both dimensions by 10.

The area of the drawing is

(95 m / 10) × (75 m / 10)

= 9.5 cm × 7.5 cm

= 71.25 square cm

Therefore, the area of the drawing is 71.25 square cm.

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Answer:

8995{c-(-12)4} valva a 2 b 5 c -7

1&5<y x=(2,0)

The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

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Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

Answer:

Answer is -1

have a nice hope it helps.

The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

The formula for the Population Growth Equation is:

[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

[tex]y=0.3^x[/tex], then

Pf=y

Po= 1  

[tex](1+\frac{R}{100}) =0.3[/tex] , thus

[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

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Answer:

I don't know if this is all the way right but I hope it is.

Step-by-step explanation:

Step 1.

Put the data in order to find the median.

Median = 72

Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.

Lower Quartile = 66

Upper Quartile = 79

Next put those points on your number line and mark your smallest and

greatest values, the median, and the Quartiles.

Answer:

174 in.
14.5 ft.

Step-by-step explanation:

1. 7ft = 84in

2. 9in x 10 = 90

3. 84in + 90in = 174 in

Answer:

They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)

Have an amazing day!!

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Answer:

The triangles are similar

Step-by-step explanation:

To tell whether the triangles are similar or not we can compare their side lengths

if the triangle are similar then their side lengths' will be proportional:

MY/CD = AY/ED

10/5 = 8/4 cross multiply expressions

40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar

Answer:

x = 24.0

Step-by-step explanation:

We will need to use one of the trigonometric ratios to find x.  

If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]

Answer:

acute

Step-by-step explanation:

Check using the Pythagorean Theorem:

A^2 + B^2 ≟ C^2

9^2 + 115 ≟ 11^2

196 > 121,

so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

The formula for calculating the volume of an oblique cone is expressed as:

V = (1/3) * π * r² * h.

where

r is the radius

h is the height

Given the following parameters

r = 4 units

h = 8.5 units

Substitute

V = (1/3) * 3.14 * 4² * 8.5.

V = 142.4 cubic inches

Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

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Answer: 142.4

Step-by-step explanation:

1st clock timing

2nd clock timing

3rd clock timing

4th clock timing

30.

formula for discount: original price - final price

In percentage:

[tex]\rightarrow \sf \dfrac{194.25}{700} *100[/tex]

[tex]\rightarrow \sf 27.75\%[/tex]

ii)

3($194.25) = $582.75 discount

In percentage: same. 27.75%