1. The food bank has 110.9 pounds, or 1,774.4 ounces, of chick in. To the

nearest whole number, how many servings of chicken does this provide?

Answer: 1.5

Step-by-step explanation:

0.72 • 2 = 1.5

Answer:1.50

Step-by-step explanation: 75•2 = 1.50

1/4 is the simplified fraction for 6/24.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

you can divide the numerator and denominator of [tex]\frac{6}{24}[/tex] by 6, resulting in [tex]\frac{1}{4}[/tex]

Answer:This can be checked by the following steps;

Step-by-step explanation:

The pair (1,2) is a solution to the inequality 6x - y > 3 because when these values are substituted into the inequality, the result is 4 > 3, which is a true statement.

The question is asking if the pair of numbers (1,2) is a solution to the inequality 6x - y > 3. We can evaluate this by substituting the pair of values (1, 2) into the inequality in place of x and y. This gives us 6*1 - 2 > 3, or 6 - 2 > 3, which simplifies to 4 > 3. Since 4 is indeed greater than 3, we can conclude that the pair (1,2) is a solution to the inequality 6x - y > 3.

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Answer:

The graph is shown below.

The time to make the taste to half is 4.265 s.

Step-by-step explanation:

Given:

Initial value of the taste is, [tex]Q_0=1[/tex]

Therefore, the quality of taste over time 't' is given as:

[tex]Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t[/tex]

Now, when the taste reduces to half, [tex]Q=0.5[/tex]

Therefore,

[tex]0.5=1(0.85)^t[/tex]

Taking natural log on both the sides, we get:

[tex]\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s[/tex]

Therefore, the time to make the taste to half is 4.265 s.

Answers:

110

95

80

65

75

Yay

The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.

The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.

2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.

The height at any point is can be given by function f(s) = 270 - 2.5s.

Given to us,

concrete block top height, H = 270 feet,

speed of the block, v = 2.5 feet/second,

We know that  [tex]\rm \bold{speed = \dfrac{Distance}{Time} }[/tex],

thus,  [tex]\rm \bold{Distance = speed\times Time}[/tex]

So, we can write, height (distance from the top height) covered is "s" seconds as,

[tex]\bold{h = v \times s}=\bold{2.5\times s} = \rm \bold{2.5s}[/tex]

therefore, we can write,

Height at any point = Top height - height covered

                                 = 270 - 2.5s

Hence, the height at any point is can be given by function f(s) = 270 - 2.5s.

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The answer you’re looking for is: simplify.

When you rewrite an expression, we are simplifying it. We first use the distributive property through any groupings symbols, then evaluate terms we exponent that are given. Lastly, we combine any like terms, weather they are constants or variables.

Hope this helps! :)

Answer:

It is simplify. It is what you do when like terms are combined in order to get your answer.

Hope this helps!

Answer:

50%

Step-by-step explanation:

To find the percentage of his correct answers, divide the amount of correct answers he got by the total number of problems.

26 out of 52 is another way to say

26/52

= 26 ÷ 52

= 0.50

0.5 is the decimal form of the answers Tristan got correct.

To convert it to a percentage, more the decimal two places to the right.

0.50 => 50%

Tristan got 50% of the problems correct.

Answer:

b is the right answer

Step-by-step explanation:

because the ratio of 98÷10=9.8

when we did the ration of 1078÷110=9.8

we can say that both ratio is same.

Answer: [tex]\frac{98}{10}[/tex] ; x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant , it implies:

[tex]\frac{490}{50}[/tex] = [tex]\frac{1078}{x}[/tex]

490x = 1078 X 50

490x = 53900

x = 53900/490

x = 110

Therefore the ratio of weight to mass will be :

1078/110

98/10

good morning,

Answer:

2,6,18

Step-by-step explanation:

6/2=3 and 18/6=3 then 2,6,18 represent a geometric series.

6/2=3 and 10/6≠3 then 2,6,10 doesn’t represent a Géométric series.

:)

Answer:

(2, 120° )

Step-by-step explanation:

To convert from rectangular to polar form, that is

(x, y) → (r, Θ ), use

r = [tex]\sqrt{x^2+y^2}[/tex]

Θ = [tex]tan^{-1}[/tex]( [tex]\frac{y}{x}[/tex])

here (x, y ) = (- 1, [tex]\sqrt{3}[/tex])

r = [tex]\sqrt{(-1)^2+(\sqrt{3} }[/tex] )^2

  = [tex]\sqrt{1+3}[/tex] = [tex]\sqrt{4}[/tex] = 2

Θ = [tex]tan^{-1}[/tex]([tex]\sqrt{3}[/tex]) = 60° ← related acute angle

Note (- 1, [tex]\sqrt{3}[/tex]) is in the second quadrant so Θ must be in the second quadrant.

Θ = 180° - 60° = 120°

(- 1, [tex]\sqrt{3}[/tex]) → (2, 120°)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The polar form of a Cartesian coordinates is given by (r, @) where r = √x^2 + y^2

@ = tan^-1 y/x

r = √-1^2 + √3^2

r = √4

r= 2

@ = tan ^-1 √3/-1 -tan √3/1 = -60°

@ = 180-60 = 120°

Answer:

16 times 1440= 23040 blinks a day

Step-by-step explanation:

So umm... 16 blinks a minute so for every minute is 16 blinks so just multiply the 1440 minutes so yeah..

Answer:

The total number of students actually went for skiing is 0.75 times the total students .

Step-by-step explanation:

Given as :

Some Students were surveyed about their wither break plans.

The percentage of students who actually did not go for skiing = 25 %

So , The percentage of students who actually go for skiing = 100 % of students - 25 %

I.e The percentage of students who actually go for skiing = 75 %

Let The total number of students = x

So, out of x students , The The percentage of students who actually go for skiing = 75 % of the total students

I.e The The percentage of students who actually go for skiing = 75 % of x

Or, The The percentage of students who actually go for skiing = 0.75 × x

So, The number of students for skiing = 0.75 x

Hence The total number of students actually went for skiing is 0.75 times the total students . Answer

Well, first find out what 20% of $15 is.

20% x $15 = $3

Take that from the original price.

$15-$3=$12

Answer:

2:7

Step-by-step explanation:

There are 4 boys and 14 total students. That ratio is 4:14, and to find the simplest form you divide both numbers by the greatest common factor, which is 2. That leaves you with 2:7, the final answer.

Answer: simple just put boys=4ovrwhole class =14 put it in fraction 4/14 simplify you get 2/7

Step-by-step explanation:

Answer:

Last year: length of 4 meters  

This year: width of 10 meters and a length of 12 meters

Step-by-step explanation:

Answer:

[tex]BE=15\ units[/tex]

Step-by-step explanation:

we know that

In a rhombus the diagonals are perpendicular

so

The triangle ABE is a right triangle

see the attached figure to better understand the problem

Applying the Pythagoras Theorem to the right triangle ABE

[tex]AB^2=AE^2+BE^2[/tex]

where

AB is the hypotenuse of the right triangle (greater side)

AE and BE are the legs of the right triangle

we have

[tex]AB=17\ units\\AE=8\ units[/tex]

substitute

[tex]17^2=8^2+BE^2[/tex]

solve for BE

[tex]289=64+BE^2[/tex]

[tex]BE^2=289-64[/tex]

[tex]BE^2=225[/tex]

[tex]BE=15\ units[/tex]

Answer:

C) 16

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

20 + 140-50/20

= 20 + 4.5

=24.5

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The solution of inequality would be -

c ≥ 1.95

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.

We have the following inequality -

20 ≥ −3.2(c − 4.3)

It is given that -

20 ≥ −3.2(c − 4.3)

−3.2(c − 4.3) ≤ 20

-3.2c + 13.76 ≤ 20

-3.2c ≤  20 - 13.76

-3.2c ≤  6.24

c ≥ 1.95

Therefore, the solution of inequality would be -

c ≥ 1.95

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Answer:

Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Step-by-step explanation:

Let Number of songs played in commercial be x

and Number of songs played in movie be y.

Total number of songs played =12

Hence,

[tex]x+y=12\ \ \ \ equation \ 1[/tex]

Also

Cost for songs played in commercial = $50

Cost for  songs played in movie = $130

Total Money earned = $1000

Hence,

[tex]\$50x+\$130y=\$1000[/tex]

Dividing by 10 on both side we get;

[tex]\$5x+\$13y=\$100\ \ \ \ equation \ 2[/tex]

Now multiplying equation 1 by 5 we get;

[tex]5x+5y=60 \ \ \ \ equation \ 3[/tex]

Now Subtracting equation 3 from equation 2 we get;

[tex](5x+13y=100)- (5x+5y=60)\\8y=40\\y=\frac{40}{8}=5[/tex]

y = 5

x + y = 12

x + 5 = 12

x = 12 - 5

x = 7

Hence, Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Answer:

No

Step-by-step explanation:

For the relation to be a function

Each value of x from the domain ( values on left ) must map to exactly one unique value of y in the range ( values on the right )

Here x = 0 → 0 and 1 ( that is 2 values from the range )

Thus this does not represent a function

Answer:

D. y= -4x +5

Step-by-step explanation:

To find the equation that is equivalent to y + 3 = -4(x - 2), we need to simplify and rearrange the equation to the standard y = mx + b form.

To find the equation that is equivalent to y + 3 = -4(x - 2), we need to simplify and rearrange the equation to the standard y = mx + b form. Here are the steps:

Therefore, the equation that is equivalent to y + 3 = -4(x - 2) is -4x + y = 5.

Answer:

46.46 gallons

Step-by-step explanation:

we know that

An airplane consumes 30.25 gallons of fuel in 2.8 hours of flying

so

using proportion

Find out how many gallons will it consume in 4.3 hours of flying

[tex]\frac{30.25}{2.8}\ \frac{gal}{h}=\frac{x}{4.3}\ \frac{gal}{h}\\\\x=30.25*(4.3)/2.8\\\\x= 46.46\ gal[/tex]

yes because in a standard form that that equation is in, it'd be y=mx=b. the m represents the constant of proportionality or the rate of change. another name for it is the slope. in this case, the 9/5 is the m & c is x. meaning that, there is one & it is 9/5

Answer:24.5

=

2.45

×

10

=

2.45

×

10

1

⇒

24.5

×

10

−

5

=

2.45

×

10

1

×

10

−

5

=

2.45

×

10

−

4

Step-by-step explanation:

Answer:

[tex]2.45*10^1[/tex]

Step-by-step explanation:

You move the decimal point of a number until the new form is a number from 1 up to 10 (N), and then record the exponent (a) as the number of places the decimal point was moved. Whether the power of 10 is positive or negative depends on whether you move the decimal to the right or to the left. Moving the decimal to the right makes the exponent negative; moving it to the left gives you a positive exponent.

Answer:

353

Step-by-step explanation:

355-42=x-40

I just need to subtract 2 from 355 to get x because I subtracted 2 from 42 to get 40.

355-2=353=x

y = 17.5 when x = 5

Step-by-step explanation:

When two variables are in direct proportion i.e. change in one variable causes change in other variable it can be expressed mathematically as:

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

So,

[tex]y = kx[/tex]

Putting y = 7 and x = 2

[tex]7 = k * 2\\k = \frac{7}{2}\\k = 3.5[/tex]

So the expression will be:

[tex]y = 3.5x[/tex]

Now putting x = 5

[tex]y = 3.5 * 5\\y = 17.5[/tex]

Hence,

y = 17.5 when x = 5

Keywords: Proportion, variables

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Answer:

[tex]\large\boxed{\dfrac{2}{5}}[/tex]

Step-by-step explanation:

[tex]\text{The product of the number and its reciprocal gives us 1.}\\\text{Reciprocal of }\ \dfrac{5}{2}\ \text{is equal}\ \dfrac{2}{5}.\\\\\dfrac{5}{2}\times\dfrac{2}{5}=\dfrac{5\!\!\!\!\diagup}{2\!\!\!\!\diagup}\times\dfrac{2\!\!\!\!\diagup}{5\!\!\!\!\diagup}=\dfrac{1}{1}\times\dfrac{1}{1}=1\times1=1[/tex]