An architect was building a
hotel downtown. He
bought 399 lamps to put in
the rooms. If each room
gets 7 lamps, how many
rooms does the hotel
have?

Final answer:

[tex]9 \times 10^{-2 }(0.09)[/tex] is greater than [tex]3 \times 10^{-4} (0.0003)[/tex], and is 300 times greater.

Explanation:

To determine which is greater between  [tex]9 \times 10^{-2 }[/tex] and  [tex]3 \times 10^{-4}[/tex]we need to understand how to interpret numbers in scientific notation. The expression  [tex]9 \times 10^{-2 }[/tex] means 9 times 1 following 2 zeroes to the left, resulting in 0.09. In the case of   [tex]3\times 10^{-4}.[/tex] it means 3 times 1 following 4 zeroes to the left, producing 0.0003.

Comparing these values,  [tex]9 \times 10^{-2 }[/tex] is clearly the larger number because 0.09 is greater than 0.0003. To find out how many times greater it is, we divide the larger number by the smaller one: 0.09 / 0.0003 equals 300. Therefore,  [tex]9 \times 10^{-2 }[/tex]is 300 times greater than [tex]3\times 10^{-4}.[/tex]

Answer:

19

Step-by-step explanation:

15-(-36/9)

15 + 4

19

Answer:

11

Step-by-step explanation:

36/-9 can be reduced to -4

15--(-4) is the same as 15+(-4) which is the same as 15-4

15-4=11

Answer:

The answer is D

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

B. [tex]y= 5 - \frac{5}{7} x[/tex]

Step-by-step explanation:

okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35

Then you divide 7 on both sides and get y = -5/7x + 5

The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

The correct option is B.

To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.

Let's begin by subtracting 5x from both sides:

5x + 7y - 5x = 35 - 5x

The 5x terms cancel out on the left side, leaving us with:

7y = 35 - 5x

Now, to isolate y, we divide both sides of the equation by 7:

(7y) / 7 = (35 - 5x) / 7

Simplifying further, we have:

y = (35 - 5x) / 7

Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

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Answer:

Step-by-step explanation:

X=1.125 hope this helps!

Answer:

B

Step-by-step explanation:

The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.

To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.

Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.

Reviewing the options:

However, according to the question we need to find the number that is not a solution, so the answer is C) -1.

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Final answer:

Approximately 17.12% of the U.S. is worked for food production.

Explanation:

The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.

Percentage = (Area worked for food production / Total area of the U.S.) x 100

Percentage = (650,000 / 3,794,000) x 100 = 17.12%

Answer:

Yes

Step-by-step explanation:

There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.

Answer:

YES

Step-by-step explanation:

BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL

Answer:

1.3

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4

Equating to zero, that is

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ⇒ x = - 2

Answer:

[tex]\boxed{\text{x = -2}}[/tex]

Step-by-step explanation:

ƒ(x) = x² - 2x

g(x) = 6x + 4

(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4  

[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]

[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]

Check:

[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]

OK.

Answer:

x ≥ -6

Step-by-step explanation:

this probably isn't right but this is what the internet says 31/400

To convert 7 3/4% to a fraction in simplest form, add the whole number and the fractional part together, find a common denominator, and simplify if necessary.

To convert 7 3/4% to a fraction in simplest form, we first need to convert the mixed number to an improper fraction. The whole number part, 7, can be written as 7/1. Adding the fractional part, we have (7/1) + (3/4). To add fractions, we need a common denominator, which in this case is 4. So, we rewrite the fractions as (28/4) + (3/4). Adding the numerators, we get 31/4. Since we want the fraction in simplest form, we can simplify 31/4 by dividing both the numerator and the denominator by their greatest common factor, which is 1. Therefore, 7 3/4% as a fraction in simplest form is 31/4.

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Answer:

Absolute value is a number's distance from 0, so when comparing quantities, such as positive and negative, the greater absolute value is of that number.

For ex:

|-11| > |6| ,  because |-11| = 11, |6| = 6, and 11 > 6.

So, |-11| > |6|

Absolute values are used to describe the distance of any values from the point 0. Hence, absolute values are used to express the positive value a quantity.

Quantities may be positive or negative depending on their relative position from Zero.

Positive values are to the right of Zero; While negative values are to the left of Zero.

Since quantities maintain equal distance either to the left or right of Zero; Absolute values are only concerned with the magnitude of a quantity from Zero and not the direction.

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Answer:

y= -7/6x+6

y= -1/2x+8

x = -3

Step-by-step explanation:

Find the slope of the lines of the triangle. Then you can find the perpendicular  slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.

Answer:

It would be -22, not 22%. She is $22 in debt, which is why it is negative.

Answer:

The ratio between won and lost is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

[tex]x=21\ games[/tex]

[tex]y=12\ games[/tex]

we know that

To find the ratio divide the number of games won by the number of games lost

so

[tex]\frac{x}{y}[/tex]

substitute the values

[tex]\frac{21}{12}[/tex]

Simplify

[tex]\frac{7}{4}[/tex]

Answer:

m∠QRT = 90°

m∠QRT = m∠SRT

Step-by-step explanation:

Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.

RT is angle T bisector, so angles QTR and STR are congruent.

Consider two triangles QTR and STR. In these triangles:

By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so

Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to [tex]\frac{1}{2}\cdot 180^{\circ}=90^{\circ}[/tex]

So, true options are

m∠QRT = 90°

m∠QRT = m∠SRT

Answer:

The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

Step-by-step explanation:

Given information;

The triangle QST is isosceles with QT ≅ ST.

The angle STR ans RTQ are congruent.

Now, consider two triangles QTR and STR

In the following triangle

1. TR  ≅  TR (having reflective property)

2. [tex]\angle[/tex]QTR ≅ [tex]\angle[/tex]STR (as given in question)

3. QT ≅ ST (as given in information)

Now, according to SAS postulate , two congruent triangle have congruent corresponding to their sides ,

Hence ,

1. QR ≅ SR

2. [tex]\angle[/tex]QRT ≅ [tex]\angle[/tex]SRT

Since, this above two angles are congruent they will have same measure

That will be

[tex]=(180/2)\\=90 ^o[/tex]

Hence, The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

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Answer:

N/A

p-by-step explanation:

x minus 1 is already a simplified expression (can only be solved if you know x)

Answer:

no solution

Step-by-step explanation:

30n-18+2n-14-64=30n-18+2n-14

32n-96=32n-32

-96=-32<-----false statement, therfore it is no solution

The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.

To find the change in temperature each hour, we can use the formula for the rate of change of temperature:

ΔT/Δt = Rate of change of temperature

Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:

ΔT/Δt = 36°C / 9 hours

Simplifying this, we get:

ΔT/Δt = 4°C/hour

So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

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Answer:

2.967741935

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]\frac{2}{28}=\frac{7}{8}[/tex]

we know that

To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.

2(8)

Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

7(28)

Next, set the 2 products equal to each other.

2(8)=7(28)

Answer:

See below.

Step-by-step explanation:

Cost of tickets = number of tickets *  cost of 1 ticket

The number of tickets purchased was  675/15 = 45.

a. C = 15n   .

b. Constant of proportionality is 15.

Answer: $675 + $15 =

Step-by-step explanation:

first add the 5 and 5 together drop the zero carry the one then add 1 and 7 plus 1 which is 9 then add 6 plus zero and ur answer should be 690

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

I am joyous to assist you anytime.

P=3L-3W

Move -3W to the other side. Sign changes to +3W

P+3W=3L-3W+3W

P+3W=3L

Divide both sides by 3 to get L by itself

P/3+3W/3=3L/3

Cross out 3 and 3, divide by 3 and then becomes 1*1*W=W

Cross out 3 and 3, divide by 3 and then becomes 1*1*L=L

P/3+W=L

Answer:

L=P/3+W

Answer:

$34.50 saved

Step-by-step explanation:

230 - 15% = $195.5

230 - 195.5 = 34.5 saved

Answer:

t=-5

Step-by-step explanation:

Answer:

t = -5

Step-by-step explanation:

Distribute by multiplication -2(t + 2), obtaining

-2t - 4 + 5t = 6t + 11.

Combine the t terms; this yields -4 = 3t + 11.  Solving for 3t, we get

3t = -4 -11, or 3t = -15.  Thus t must be -5.

Answer:

Width 15 feet

Step-by-step explanation:

Use formula

[tex]A_{rectangle}=\text{Width}\cdot \text{Length}[/tex]

Let x feet be the width of the rectangle.

If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.

The area of the rectangle is 900 square feet, so

[tex]900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15[/tex]

The width cannot be negative, then x=15 feet and 4x=60 feet.

Final answer:

To find the width of the rectangle when the length is 4 times the width and the area is 900 square feet.

Explanation:

To find the width of the rectangle:

Let the width be w feet.

Since the length is 4 times the width, the length is 4w feet.

Given that the area is 900 square feet, we can set up the equation w * 4w = 900 to solve for w.

4w² = 900

w² = 225

w = 15 feet

Therefore, the width of the rectangle is 15 feet.