Lucy's kitten weighs 5 2/8 lbs. This is 1 7/8 pounds more than last year. How much did Mittens weigh last year?

Answer:

\(-27\)

Step-by-step explanation:

\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

Step-by-step explanation:

3x-9<12

You carry the 9 to the other side and do the inverse(opposite of take away

3x<12+9

3x<21

3x/3x

To cancel out the the x you must devide them together and then devide 21÷3

21/3=7

X<7

Answer: x<7 or (-infinity,7)

Step-by-step explanation:

3x-9<12

3x<21

x<7

Answer:

Napoleon Bonapart was a French statesman and military leader who rose to prominence during the French Revolution and also led several successful campaigns during the French Revolutionary Wars. He was Emperor of the French as Napoleon I from 1804 until 1814 and again briefly in 1815 during the Hundred Days. Napoleon dominated European and global affairs for more than a decade while leading France against a series of coalitions in the Napoleonic Wars. He won most of these wars and the vast majority of his battles, building a large empire that ruled over much of continental Europe before its final collapse in 1815. He is considered one of the greatest commanders in history, and his wars and campaigns are studied at military schools worldwide. Napoleon's political and cultural legacy has endured as one of the most celebrated and controversial leaders in human history.

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

I'm positive its B.3

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

\(interquatile \: range = (Q _{3} - Q _{1}) \\ = ( ( \frac{3}{4} \times 6) - ( \frac{1}{4} \times 6)) \\ = (4.5 - 1.5) \\ = 3\)

Answer:

Subtotal 70.00

15% Tip 10.50

Total 80.50

Step-by-step explanation:

1% 0.70

2% 1.40

3% 2.10

4% 2.80

5% 3.50

6% 4.20

7% 4.90

8% 5.60

% Tip

9% 6.30

10% 7.00

11% 7.70

12% 8.40

13% 9.10

This dude above is trash and wrong, I got a 0 because of him

Answer:

12x

Step-by-step explanation:

3x + 4x + 5x

7x + 5x

12x

The ordered pair we are looking for is the values of the variables \(x\) and \(y\), or \((x, y).\)  We are given that \(x=2\), and that the formula to evaluate \(y\) is \(y = 5^x\). Note we are given \(x\) so we can evaluate \(y\) as \(y = 5^2 = 25\). Now, we have both the values of \(x\) and \(y\), so our ordered pair is thus \((x,y) = (2,25).\)

The total surface area of the triangular prism using the net is 96 square units

From the question, we have the following parameters that can be used in our computation:

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

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Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.

Step-by-step explanation:

The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.

The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.

For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.

The value of the expression is determined as 14.

The value of the expression is calculated as follows;

We will apply the principle known as BODMAS;

B - bracket

O - Off

D - division

M - multiplication

A - addition

S - subtraction

The given expression; = (27 · 3  -  1719 ÷ 1719) ÷ 8 + 5² - 3³  + (8 · 4  -  2·13)

We will simplify the expression as follows;

(27 · 3  -  1719 ÷ 1719) = (81  -  1719/1719) = (81 - 1) = 80

(8 · 4  -  2·13) = (32  -  26) = 6

= 80 ÷ 8 + 5² - 3³  + 6

= (80/8) +  5² - 3³  + 6

= 10 +  5² - 3³  + 6

= (10 + 5² + 6) - 3³

= 41 - 27

= 14

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The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

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Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

\( \frac{2}{10} = \frac{4}{a - 3} \\ \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\ \frac{ + 6 = \: \: \: \: \: \: \: \: + 6}{ \frac{46}{2} = \frac{2a}{2} } \\ \\ 23 = a\)

--------

\( \frac{k}{6} = \frac{4}{3} \\ \\ \frac{24}{ 3} = \frac{3k}{3} \\ \\ 8 = k\)

Answer:

x + 3y = -15

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-6, -3) so we have:

-3 = (-6)a + b      (1)

The line is also through the point (-9, -2) so we have:

-2 = (-9)a + b.       (2)

From (1) and (2) we get a equals -1/3, b equals -5. Then:

\(y=-\frac{1}{3} x - 5\)

<=> \(x + 3y=-15\)

The second way:

Let A(-6, -3) and B(-9, -2), then AB = (-3, 1).

=> The normal vector of this line is n = (1, 3).

The line that is through the points A(-6, -3) and B(-9, -2), and has the normal vector n=(1, 3) has the equation:

\(1(x+6) +3(y+3)=0\\x+3y +15=0\\x+3y=-15\)

Answer:

1/4, 3/8, 7/12, 5/6

Step-by-step explanation:

First, change all the fractions so they have the same denominators. The least common denominator is 24. 1/4=6/24 3/8=9/24 5/6=20/24 7/12=14/24

Now, put them in order from least to greatest: 6/24, 9/24, 14/24, 20/24

Answer: 5 less boys in the cafeteria then girls.

Step-by-step explanation:

18-13=5

18=girls

15=boys

5=less boys

kinda just basic subtraction.

The single logarithmic expression of 4log₃(x) + log₃(7) is  log₃(7x⁴)

Given the logarithmic expression in the question;

4log₃(x) + log₃(7)

To determine the single logarithmic expression.

We use the logarithmic rule that says:

logₐ (b) + logₐ (c) = logₐ (bc)

4log₃(x) + log₃(7)

Applying this rule, we get:

4log₃(x) + log₃(7)  

log₃(x⁴) + log₃(7)

Using another logarithmic rule that says:

logₐ (b) + logₐ (c) = logₐ (bc)

To simplify further:

log₃(x⁴) + log₃(7)

log₃(x⁴ × 7)

log₃(7x⁴)

Therefore, the equivalent expression is log₃(7x⁴).

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The value of the expression is (5/12)⁻² × (4/5)⁻² = 9.0.

Writing fractions with a power in the denominator using negative exponents is one method. Rewriting a raised to -2 as 1/(a raised to 2), for instance, yields the fraction 1 over a squared. Expressions that use powers and fractions can be made simpler by using negative exponents. A fraction can be inverted and its power turned positive when raised to a negative power. It is possible to rewrite (a/b) raised to -2 as (b/a) raised to 2. This characteristic enables us to alter expressions using powers and fractions in a way that may facilitate their use or solution.

The given expression is (5/12)⁻² multiply (4/5)⁻².

Simplifying we have:

(12²/5²) × (5²/4²)

= (144/25) × (25/16)

= 9.0

Therefore, the value of the expression is (5/12)⁻² × (4/5)⁻² = 9.0.

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The probability of those telling the truth is an illustration of experimental probability.

The probability that the next person tells the truth is 0.23

The given parameters are:

\(\mathbf{n = 100}\) -- sample size

\(\mathbf{x = 23}\) -- those telling the truth

So, the probability that the next person tells the truth is:

\(\mathbf{Pr = \frac xn}\\\\\\\)

Substitute values for x and n

\(\mathbf{Pr = \frac{23}{100}}\)

Divide 23 by 100

\(\mathbf{Pr = 0.23}\)

Hence, the probability that the next person tells the truth is 0.23

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Answer:

\(15xi \sqrt{3a}\)

Step-by-step explanation:

\(3x \sqrt{-75a} \\ \\ =3x \sqrt{-1} \sqrt{25} \sqrt{3a} \\ \\ 15xi \sqrt{3a}\)

Answer:

they are multiplied by 9 on bottom

Step-by-step explanation:

Answer:

\(\frac{-1}{3}\)

Step-by-step explanation:

7 - 9x = 10  Subtract 7 from both sides of the eqaution

-9x = 3  Divide both sides by -9

x = \(\frac{-3}{9}\) = \(\frac{-1}{3}\)