What is the length of the hypotenuse? If necessary, round to the nearest tenth.

The final step of the inequality equation –10 + 8x < 6x – 4 is x > 3. Then the correct option is D.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

–10 + 8x < 6x – 4

This can be simplified as

–10 + 8x < 6x – 4

       –10 < –2x – 4

        –6 < –2x

        –3 < –x

          x > 3

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Answer: B

Step-by-step explanation:

1/2 8 *7 = 28

because there is 4 triangles you do this 28+28+28+28

28+28+28+28 = 112

The lateral surface area of the pyramid is 112 sq. in.

The correct answer is an option (B)

From the attached figure of the net of a square pyramid, we can observe that the side length of the square base is 8 in and height of the lateral triangular face is 7 in.

Hence, The lateral surface area of the pyramid is equal to the area of the four triangular faces of the pyramid.

Using the formula of the area of triangle, the lateral surface area would be,

A = 4 × (1/2 × base × height)

A = 4 × (1/2 × 8 × 7)

A = 4 × (4 × 7)

A = 4 × 28

A = 112 sq. in.

Thus, This is the required lateral surface area.

So, The correct answer is an option (B) 112 in²

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Answer:

£1067.22.

Step-by-step explanation:

Interest I= PRT/100    where P = Initial investment, R = % rate, T = time.

So I = 990*2.6* 3 / 100

= £77.22

So total he will have in the bank

= 990+77.22

= £1067.22.

6

x

−

12

y

=

14

Yw :D pls mark me brainiest

Answer:

x =number of child tickets

y=number of adult tickets

x + y = 9

3x +9y = 57

x = 9-y

3(9-y) + 9y =57

27 - 3y + 9y = 57

6y = 30

y=5 adult tickets

x = 4 child tickets

Answer:

adult's tickets a=5

child's tickets c=4

Step-by-step explanation:

a+c=9

9a+3c=57

c=9-a

3a+c=19

3a+9-c=19

2a=10

a=5

c=9-a=9-5=4

Answer:

18/245.

Step-by-step explanation:

Total number of coins = 12+15+23 = 50.

Prob(Karen chooses a dime) = 15/50 = 3/10.

Prob(Mikah then chooses a quarter) = 12/49.  ( Karen has already removed one coin)

Prob(of Karen choosing a dime then Mikah a quarter)

= 3/10 * 12/49

= 36/490

= 18/245.

Answer:

43,898

Step-by-step explanation:

1. 454 x 344 = 156,176

2. 156,176 / 4 = 39,044

3. 39,044 + 4,854 = 43,898

Answer:

Step-by-step explanation:

We have two equations :

Take the value of x in Equation 2 and substitute in Equation 1.

Now, take the value of y and substitute in Equation 2.

Solution

Answer:

The lines intersect at the point (-1, 0)

Step-by-step explanation:

−5(      )−y=5

-5(7y-1) - y = 5    substitute the x=7y-1 into first equation

-35y + 5 - y =5   multiply -5

-36y + 5 = 5        combine like terms

-36y = 0              subtract 5

y=0                      divide by -36

x=7(0)-1                substitute 0 for y in x=7(  )-1

  =-1                      simplify

The lines intersect at the point (-1, 0)

Answer:

You have to share number too

Answer:

RISE/RUN

Step-by-step explanation:

Answer:

Jackie divided the number of quarts by 2. There are 2 pints in each quart. She should have multiplied by 2; so Jackie made 20 pints of lemonade.

Polynomial is an expression that consists of indeterminates(variable) and coefficient. The polynomial f(x) is x³-12x²+256=0.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As the zeros of the polynomial are 8(multiplicity 2), -4. Therefore, the factors of the polynomial can be written as,

[tex]x = 8\\x-8=0[/tex]

[tex]x =-4\\x+4=0[/tex]

Now, the polynomial f(x) which is a third-degree polynomial can be written as,

[tex](x-8)(x-8)(x+4)=0\\\\(x-8)^2(x+4)=0\\\\(x^2-16x+64)(x+4)=0\\\\x^3-16x^2+64x+4x^2-64x+256 = 0\\\\x^3-12x^2+256=0[/tex]

Hence, the polynomial f(x) is x³-12x²+256=0.

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The mean of the set is less than the median. Option B is correct.

Given that,
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Marks scored by Norberto in 5 spelling tests are 93, 66, 78, 85, and 98.
Mean of marks score = total marks scored / total spelling test
Mean of marks score = (93 + 66 + 78 + 85 + 98) / 5
Mean of marks score = 420 / 5 = 84

Now,
In order to get the median,
Arrange the marks in ascending order,
66, 78, 85, 93, 98
n = 5
median = (n + 1) / 2th term  
             = (5 + 1) / 2th term
             =  6 / 2 = 3 th term
Median = 85
Here, 85 > 84 implies the median is more than the mean.

Thus, the mean of the set is less than the median. Option B is correct.

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Answer:

Step-by-step explanation:

Given equation

Use the property of logarithm

Apply to the given equation

Let's see

[tex]\\ \rm\Rrightarrow log_416=x[/tex]

[tex]\\ \rm\Rrightarrow 16=4^x[/tex]

[tex]\\ \rm\Rrightarrow 4²=4^x[/tex]

[tex]\\ \rm\Rrightarrow x=2[/tex]

Done!

LSA

Answer:

Step-by-step explanation:

GIVEN:

To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

[tex]\sf{\dfrac{8}{7}=\dfrac{x}{21} }[/tex]

First, thing you do is switch sides.

[tex]\sf{\dfrac{x}{21}=\dfrac{8}{7} }[/tex]

Multiply by 21 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }[/tex]

Solve.

Multiply the numbers from left to right.

Use the order of operations.

PEMDAS stands for:

[tex]\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }[/tex]

[tex]\Longrightarrow: \boxed{\sf{x=24}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

d

Step-by-step explanation:

Each point has been moved 2 spaces to the right and 5 units down.

Moving 2 spots to the right means x updates to x+2

Moving 5 units down tells us to change y to y-5

Therefore, [tex](x,y) \to (x+2, y-5)[/tex]

This solution is arrived at using the principles of Quadratic Functions and Inequalities. It is to be noted that the function increases at (-8, 4).

A quadratic function can be defined as that is written in the following way: f(x) = ax2 + bx + c: Where a, b, and c are numbers not equal to zero.

To solve the problem f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4), we:

A) 4x - 3 ≥ 2 - x²

Rewrite as:  x² + 4x - 2 - 3 ≥ 0

B) Collect the like terms

x² + 4x - 5 ≥ 0

C) Expand to have  x² + 5x - x - 5 ≥ 0

D) Factorizing the expression we have

x(x + 5) - 1(x + 5) ≥ 0, from this we  Factor away x + 5

(x - 1)(x + 5) ≥ 0

E) Solving  for x we obtain: x ≥ 1 or x ≥ -5

This can also be rewritten to read:

-5 ≤ x ≤ 1

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Answer:

Its C because the formula to find the volume of the cone is π x radius² x height / 3 and in this case the radius is 4 and the height is 27 so π x 27 x 4² which is 452.16 and 144 x π is 452.16

Step-by-step explanation:

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Probability helps us to know the chances of an event occurring. The probability of getting a tail and an even number is 0.25.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Since a coin has two faces, therefore, the probability of getting either of the sides of the coin is (1/2). While a die has six faces, so the probability of getting any side of the die is (1/6).

A.) The probability of getting a tail and an even number can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Even Number(2,4,6) } = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

[tex]\text{Probability (Tails and an even number)} = \dfrac12 \times \dfrac12 = 0.25[/tex]

B.) The Probability of getting tails and the number 9 can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Number 9} = \dfrac{0}{6} = 0[/tex]

[tex]\text{Probability of the tails and the number 9} = 0[/tex]

C.) The Probability of getting Heads or a number bigger than 4 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of a number bigger than 4 (5,6) } = \dfrac{2}{6} = \dfrac{1}{3}[/tex]

[tex]\text{Probability (Heads or a number bigger than 4 )} = \dfrac12 + \dfrac13 = \dfrac{5}{6} = 0.83333[/tex]

D.) The Probability of getting Heads or the number 2 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of the number 2} = \dfrac{1}{6}[/tex]

[tex]\text{Probability (Heads or the number 2 )} = \dfrac12 + \dfrac16 = \dfrac{8}{12} = 0.6666[/tex]

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Answer:

if you use desmos graphing calculator it will make graphing equations like this easier.

Step-by-step explanation:

by easier i mean it just graphs it for you. hope this helps:)

Answer:

-3/4

Step-by-step explanation:

see picture below

Answer:

[tex]-3/4~ > -5/6[/tex]

Step-by-step explanation:

Using the given inputs

[tex]3/4~and~5/6[/tex]

The least common denominator (LCD) is 12.

Rewriting as equivalent fractions with the LCD:

[tex]-\frac{3}{4} ~becomes-\frac{9}{12}[/tex]

And

[tex]-\frac{5}{6}~becomes-\frac{10}{12}[/tex]

Comparing the numerators of the equivalent fractions we have

[tex]-9/12 > -10/12[/tex]

Therefore,  the comparison shows:

[tex]-3/4~ > -5/6[/tex]

Hope this Helps! :3

have a great day! :3

Answer:

A, B, C, and E.

Step-by-step explanation:

I don’t know how to explain what I did very well.

Answer:

True

Step-by-step explanation:

plug in numbers

4(-3)+15=3

-12+15=3

-3+15=12

Answer:

V=3x+6

Step-by-step explanation:

slope intercept form: y=mx+b

V-5=3(x+1)

[open parentheses]

V-5=3x+1

[combine like terms; add 5 to both sides]

V=3x+6

why is it v tho