Translate the sentence into an equation.
Three times the sum of a number and 5 equals 2.
Use the variable y for the unknown number.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{32.689\times 10^3}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10 \times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]

[tex]\mathsf{32.689 \times1,000}[/tex]

[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

In a parallelogram,

i) opposite sides are equal and parallel.

So, DC = AB

DC = 28 units

ii) Diagonals bisect each other.

AC bisects BD

DE =  EB = [tex]\frac{1}{2}[/tex] BD

DE = [tex]\frac{1}{2}*91[/tex] = 45.5

DE = 45.5 units

Answer:

656.3844

Step-by-step explanation:

Area of squares = [tex]s^{2}[/tex]

s = measure of a side, all sides are the same.

[tex]25.62^{2}[/tex] use a calculator

Answer:

I believe it’s 20

Step-by-step explanation:

Answer:

-27/7

Step-by-step explanation:

Replace x with 19,

f(19)=3/(19+2) - root(19-3)

      =3/21 - root(16)

      =1/7 - 4

      =1/7 - 28/7

      = -27/7

Answer:

13

Step-by-step explanation:

pythagorean theorem

Answer: 13

Step-by-step explanation:

Answer:

[tex]1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} [/tex]

Answer:

a 4,1. helpful answer

Answer:

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is  =−9.15

iv) We accept the alternate hypothesis.

​

Part b:   CI = (−3.637,−2.163)

​

Step-by-step explanation:

AS the sample sizes are sufficiently large (n1,n2> 30) we can use the sample standard deviations in place of population standard deviations.

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

where

ud is the mean of the days missed  per year by mothers working for companies that provide day-care facilities on premises

and

u is the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is

z= xˉ1 − xˉ2/√ s 1² /n 1 +s 2² /n 2

​=  6.4−9.3/ √1.2 ² /45+ 1.85² /50​

=−9.15

iv) The calculated z = −9.15 values lies in the critical region= R < - 1.96 and the null hypothesis is rejected. Hence the  mean of absentees for companies that provide day-care facilities on premises  is less than the

the mean number of absentees for companies that do not provide day-care facilities on premises.

We accept the alternate hypothesis.

​

Part b:

The confidence interval can be calculated using the formula

CI = ( xˉ1 − xˉ2) ± z∝/2 √ s 1² /n 1 +s 2² /n 2

CI = (6.4−9.3) ± 2.326 * √1.2 ² /45+ 1.85² /50​

CI = (−3.637,−2.163)

​

Answer:

a = (r/x) -b

x = -14

Step-by-step explanation:

r=x(a+b)

Divide each side by x

r/x = a+b

Subtract b

r/x  -b = a

x/2=-7

Multiply each side by 2

x/2*2 = -7*2

x = -14

Answer:

1.) a = r / x - b

2.) x = - 14

Step-by-step explanation:

1.) r = x ( a + b )

r / x = x / x ( a + b) ...( Divide each side by x )

r / x = a + b

r / x - b = a + b - b ... ( Subtracting each side by b) r / x - b = a

2.) x / 2 = -7

x / 2 × 2 = -7 × 2 .. ( multiplying each side by 2 )

x = - 14

Answer is 11

-(-7+4)

Firstly, negative times negative equals to positive so It becomes like this:

+7+4

equals to 7+4

equals to 11!

I hope this is helpful :D

Answer:

x=00

Step-by-step explanation:l

nnm

Answer:

C

Step-by-step explanation:

All others can be proved false.

9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

Answer:

The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.

Step-by-step explanation:

To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.

Step-by-step explanation:

Volume of cylinder: πr²h

= π(6)² x 15

= 36π x 15

= 1620 cm³

Answer: A

Answer:

B. 540 picm3

Step-by-step explanation:

(6)2 X 15= 540

Answer:

3/2

Step-by-step explanation:

slope formula is

y2 - y1 / x2 -x1 = m

so now we just plug in our coordinates.

-4 - 2 / -1 - 3 = -6 / -4 = 3/2

The probability that exactly 2 out of the 20 older adults prefer organic is approximately 0.2707.

To calculate the probability that exactly 2 of the 20 older adults prefer organic, we need to use the binomial probability formula. The formula for the probability of exactly k successes in n trials, where the probability of success is p, is given by:

P(X = k) = [tex](n choose k) * p^k * (1-p)^{(n-k)[/tex]

In this case, we want to find the probability that exactly 2 of the 20 older adults prefer organic. The probability of an older adult preferring organic is given as 22%, or 0.22.

Using the formula, we substitute the values into the equation:

P(X = 2) = (20 choose 2) * 0.22² * (1-0.22)²⁰⁻²

Calculating this expression, we find:

P(X = 2) ≈ 0.2707

To learn more about probability click on,

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Complete question is:

A restaurant chain wants to create dishes that will attract new clientele. They are interested in adding some organic options to their menu. A survey revealed that 22% of people over 50 and 32% of people under 50 prefer organic foods. The restaurant wants to poll their clientele. 60 clients were randomly selected: 20 older adults and 40 younger adults. Let X be the number of older adults (out of 20) who prefer organic. Let Y be the number of younger adults (out of 40) who prefer organic. Let Z be the total number in the sample who prefer organic (out of 60).

What is the probability that exactly 2 of the 20 older adults prefer organic?

Step-by-step explanation:

the answer is in the image

Answer:

Step-by-step explanation:

The line is parallel to y axis so

slope : undefined

y intercept : the line doesn’t intercept y axis

Equation : x = -6

Complete question:

The base of a pyramid covers an area of 14.0 acres (1 acre = 43, 560 ft²  ) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height. If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

Answer:

The percentage increase of the volume is 6.45 %

Step-by-step explanation:

The volume of pyramid is calculated as;

V = bh/3

The initial volume of the pyramid is calculated as follows;

[tex]V = \frac{bh}{3} \\\\V_0 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (481 \ ft)\\\\V_0 = 97,777,680 \ ft^3[/tex]

The final volume of the pyramid when the height is increased to 512 ft.

[tex]V_1 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (512 \ ft)\\\\V_1 = 104,079,360 \ ft^3[/tex]

The percentage increase of the volume;

[tex]= \frac{104,079,360 - 97,777,680}{97,777,680} \times 100\%\\\\= 6.45 \ \%[/tex]

The volume of the pyramid will increase by 11.79%

The volume of a Pyramid is calculated using:

[tex]V = \frac{Bh}3[/tex]

Where:

When the height is increased from 458 to 512, then the initial and the final volumes are:

[tex]V_1 = \frac{458}{3}b[/tex]

[tex]V_2 = \frac{512}{3}b[/tex]

The percentage change is then calculated as:

[tex]\% Change = \frac{V_2 -V_1}{V_1} \times 100\%[/tex]

This gives

[tex]\% Change = \frac{512b/3 -458b/3}{458b/3} \times 100\%[/tex]

Simplify the numerator

[tex]\% Change = \frac{54b/3}{458b/3} \times 100\%[/tex]

Evaluate the quotient

[tex]\% Change = 0.1179 \times 100\%[/tex]

Express as percentage

[tex]\% Change = 11.79 \%[/tex]

Hence, the volume of the pyramid will increase by 11.79%

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

33.55 m³

Step-by-step explanation:

volume is base area times height.

the base area is a right-angled triangle (a×b/2).

At = 2.5×4.4/2

the height is 6.1

the total volume is then

2.5×4.4×6.1/2 = 33.55 m³

Answer:

[tex]252 \: sq \: feet = 2 \: lbs \\ 1008 \: sq \: feet = ( \frac{1008 \times 2}{252} ) \\ = 8 \: lbs[/tex]

Answer:

8lbs of fertilizer

Step-by-step explanation:

1008 ÷ 252 = 4

2 × 4 = 8

Answer:

2/3 - 1/2 = 1/6

Step-by-step explanation:

Find the lcm of the denominator (3 and 2) which is 6. Now with the lcm of those 2 denominator you can find the answer by simply multiplying both the denominator until they get to 6. So you multiply 3 by 2 and 2 by 3, and both denominator should both be 6 meaning you have to do the same thing to the numerator, you have to multiply them by the same number you multiplied in the denominator so 2/3 becomes 4/6 and 1/2 becomes 3/6. The question should now be 4/6 - 3/6, you can now just minus the numerator, 4/6 - 3/6 = 1/6.

Answer:

the diameter of the circle is ⅓ of the height

so the radius is 1/6 of the height

the area of the flag is 1*1.5 of the height

(we need to consider this)

pi*(1/6)² / 1.5

= 0.058177

so the percentage is

5.82 %

So, the required percentage is  [tex]5.81\%[/tex].

To understand the calculations, check below.

The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.

That is [tex]Area=\pi \frac{d^2}{4}[/tex]

Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.

So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]

Now, by using the above formula the area of the gold disk will be,

[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]

And the area of the flag will be,

[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]

So, the required percentage is,

[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]

Learn more about the topic Area of the disk:

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Answer:

I guess it would go

Ben did:+10

Gail:-8

Nathaniel:0

Step-by-step explanation:

hope this was what you wanted

best of luck

Answer:

53,901

Step-by-step explanation:

The value given is: 245,093.

5 is in the thousands place. Multiply the thousands place with ten:

1,000 x 10 = 10,000

This means that the number with 5 in the ten thousands place will be your answer.

53,901 is your answer.

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