write a numerical expression for the difference of 12 and 9​

Answer: 8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Step-by-step explanation: I hope i did this right?

Answer:

A. 8(x2 + 2x + 1) = –3 + 8

B. x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

E. 8(x2 + 2x) = –3

Step-by-step explanation:

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The circumference of circle with the diameter is 62.8cm

The Circumference of the circle is the measurement of the boundary of the circle.

If we open a circle and make a straight line out of it , then its length is circumference.

The circumference of a circle = 2πr

where r is radius of circle

we can write circumference in terms of diameter,

diameter of circle = 2r

so , the circumference = πd

Given in the question,

the diameter of circle = 20cm

Therefore , the circumference will be  πd

taking 3.14 value of π

= (3.14)× 20

=62.8 cm

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The number of people who bought £4 tickets are 139.

Let £4 tickets be x

Let £5 tickets be y.

Therefore based on the information given, this will be:

x + y = 223 ..... i

4x + 5y = 936 ..... ii

From equation i

x = 213 - y

Put this into equation ii

4x + 5y = 936

4(213 - y) + 5y = 936

852 - 4y + 5y = 936

Collect like terms

y = 84

This implies that the number of £5 tickets is 84.

Recall that x + y = 223

x + 84 = 223

x = 223 - 84

x = 139

The number of £4 tickets is 139

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We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.

Given,

The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.

In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.

To report the large-sample z statistic and its p-value,

Null hypothesis,

H₀ : p = 0.79

Alternative hypothesis,

Ha : p < 0.79

Level of significance, α = 0.01

Under H₀

Test statistic,

[tex]Z_0= \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

Z₀ = -7.948

The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by

P-value = P(z <-7.945)

            = 0.000     (from z-table)

Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.

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Answer:

51.425

Step-by-step explanation:

Step-by-step explanation:

Find the attached picture

Camilla have total of 7 dogs.

acc to our question-

hence,Camilla have total of 7 dogs.

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The perimeter (adding up all the sides) of a rectangular piece of land is 228 feet. The length of the land is 74 feet and its width is 154 feet.

The perimeter of a closed plane figure is referred to in geometry. You might have studied perimeter calculations in school. An equilateral triangle has a 27-foot perimeter if each of its nine sides is the same length. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeter, meters, inches, and feet.

Given,

Perimeter = 228 feet

Length = x

Width = 2x + 6

Perimeter of rectangle = Length + Width

228 = x + 2x + 6

228 = 3x + 6

228 - 6 = 3x

222 = 3x

x = 74

The length of the land is 74 feet and its width is 154 feet.

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The percentage is used to denote the fraction of a quantity present.

The number of athletics students are 4. The correct answer is option A.

The percentage is defined as the portion of quantity present.

It is converted into fraction by dividing it by 100.

The percentage of students in athletics are 48%.

Total number of students in the class is 25.

The number of students in athletics is given as,

N = 48% of 25

=> N = 48 / 100 × 25

=> N = 48 / 4

=> N = 12.

Hence the number of athletics students in Mrs. Cano's class is 12.

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Answer:

-98

Step-by-step explanation:

a negative plus a positive equals a negative .

You basically minus 412 and 314 and add the negative sign

Answer:

The answer for the question mark is 1.

Step-by-step explanation:

The rule of the 0 exponent applies here. Since x is 0, the question mark would be 3⁰, and every number to the 0th power is 1, so the answer is 1.

Please give brainliest

Answer:

x = 16

Step-by-step explanation:

Given equation,

→ 8x - 31 = 5x + 17

Now the value of x will be,

→ 8x - 31 = 5x + 17

→ 8x - 5x = 17 + 31

→ 3x = 48

→ x = 48/3

→ [ x = 16 ]

Hence, the value of x is 16.

The amount owed at the end of the 6 years duration is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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Answer:

2w+12

Step-by-step explanation:

twice a number: doubled or multiplied by 2

Increased: means to add

Hopes this helps please mark brainliest

Answer:

W2+12

Step-by-step explanation:

twice a number means to multiply by two

increased by 12 means to add 12

so W2+12 is the answer

Answer:

-7

Step-by-step explanation:

To solve this system of equations, let's solve for x first. We can move 6y to the other side of the first equation by adding it to both sides. Now we know what x equals:

x = 30 + 6y.

Now, we can substitute that equation in for every x in the 2nd equation, then solve for y.

The second equation becomes:

5(30+6y) - 2y = -46

(150 + 30y) - 2y = -46

Simplify.

150 + 28y = -46

Subtract 150 from both sides

28y = -196

Divide by 28 (to get y by itself)

y = -7

Answer:

y = -7

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}x-6y = 30\\5x-2y =-46\end{cases}[/tex]

Multiply the first equation by -5:

[tex]\implies -5(x-6y)=-5(30)[/tex]

[tex]\implies -5x+30y=-150[/tex]

Add this to the second equation to eliminate the term in x:

[tex]\begin{array}{crcrcl}& 5x & - & 2y & = & \:\:-46\\+&(-5x&+&30y&=&-150)\\\cline{2-6}&&&28y&=&-196\\ \cline{2-6}\end{array}[/tex]

Solve the equation for y:

[tex]\implies 28y=-196[/tex]

[tex]\implies \dfrac{28y}{28}=\dfrac{-196}{28}[/tex]

[tex]\implies y=-7[/tex]

A square root of 7, then 2.8, then 3.14 aka pi, then square root of 17, and lastly 4.6

Step-by-step explanation:

Answer:

2y= -8 is the correct answer

Answer: y =  4x -11

Remeber  the slope is the gradient -> m

Our equation to find the problem:

Substitude:

y-9 = 4(x-5)                       because y1= 9, x1 = 5 and m = 4

y-9 = 4x - 20                     multiply by 4 with the numbers in  the bracets

y =  4x -11                          - 9 on both sides

therfore our equation that passes through the point (5,9) and has a slope of 4 is y =  4x -11

When the interest rate is 12.75%, your balance at the conclusion of the third month is $3270.06.

When provided,

P=$3168

R=0.1275/12

= 0.010625

n=3

Interest rate = 12. 75%

Using the formula

A=P(1+r)^n

we can now insert the values

A=3168(1+0.010625)^3 and

A=3270.06

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Answer:

12.

Step-by-step explanation:

[tex]\text{let } x = \text{ number of people who participated in the survey}[/tex]

3 = 25% of x. We can rewrite that as an equation.
[tex]\frac3x \times 100 = 25 \text{ // Divide by 100}\\ \\\frac3x = \frac14 \text{ // Cross multiply}\\\\12 = x[/tex]

The equation that could be used to determine the number of dimes, d, in his pocket is: 0.35d + 0.75 =2.50.

Let the number of dimes be d

Let number of quarters be q

Hence,

d + q = 2.50

q = d+3

1 dimes = $0.10

1 quarters = $0.25

0.10d +0.25q = 2.50

Substitute value of  q into 0.10d +0.25q = 2.50

0.10d +0.25 (d+3) = 2.50

0.10d +0.25d +0.75 = 2.50

0.35d + 0.75 =2.50

Hence, the equation is : 0.35d + 0.75 =2.50.

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Answer:

12.06

Step-by-step explanation:

-5.5+10.63+(-3.7)+10.63

1) Remove parentheses.

-5.5 + 10.63 - 3.7 + 10.63

2) Simplify -5.5 + 10.63 to 5.13.

5.13 - 3.7 + 10.63

3) Simplify 5.13 - 3.7 to 1.43.

1.43 + 10.63

4) Simplify.

12.06

The option she should choose based on the given condition is Option B 2 math questions and 7 science questions.

What are linear inequalities?

When two linear expressions are compared using the inequality symbols, that is an expression of a linear inequality.

Given, Time is taken for solving single math question = 12 minutes

          Time is taken for solving single science question = 5 minutes

Let 'x' be the total number of math questions and 'y' be the total number of science questions.

Then,

The total time taken for 'x' math questions = 12x minutes

The total time taken for 'y' science questions = 5y minutes

So, as defined in the question, we get

Total time she wants to spend practicing < 60 minutes

i. e. 12x + 5y < 60 .................... (i)

Now, we check this condition for each answer choice

A) x = 3 and y = 5, substituting values in equation (i)

So, 12*3 + 5*5 < 60

or, 36+25 < 60

or, 61 < 60 (Not valid)

B) x = 2 and y = 7, substituting values in equation (i)

So, 12*2 + 5*7 < 60

or, 24+35 < 60

or, 59 < 60 (Valid)

So, Option B is valid.

Hence, the required answer of choice is Option B i.e. 2 math questions and 7 science questions.

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The area of the floor not covered by the rug is 450 square feet

The floor has a rectangular shape while the rug has a circular shape

The area not covered by the rug

=  area of the room -  area of the rug

= length * width - pi * diameter^2 / 4

= ( 25 * 20 ) - ( 22 / 7 * 8^2 / 4 )

= 500  - 50.265

= 449.735

≅ 450 square feet

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The equation to find n is given by, n/2 + 50 = 176.

And the solution i.e. the number of African animals in zoo is 252.

Given that the variable for number of African animals in zoo is n.

Now given that there are 176 South African animals in zoo and which is 50 more than half the number of African animals in zoo.

So half of African animals in zoo = n/2

50 more than half African animals in zoo = n/2 + 50

According to condition, the suitable equation to find the value of n is given by,

n/2 + 50 = 176

n/2 = 176-50 = 126

n = 126*2 = 252

Hence the number of African animals in the zoo is 252.

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Answer:

56

Step-by-step explanation:

Step-by-step explanation:

54÷3

=18

one is 17

one is 18

the other is 19

Answer:

16 ft

Step-by-step explanation:

We are here given that the side lengths of the state flag are in ratio 4:7 . Let us take the ratio to be [tex] 4x:7x[/tex] .

Now we are given that the flag is 28 ft. long. So ;

[tex]\longrightarrow 7x = 28\\[/tex]

Divide both sides by 7 ,

[tex]\longrightarrow x = 4 [/tex]

Therefore the height of the flag will be ,

[tex]\longrightarrow h = 4x [/tex]

Substitute for x ,

[tex]\longrightarrow h = 4(4) ft [/tex]

Multiply,

[tex]\longrightarrow\underline{\underline{ h = 16ft}} [/tex]

And we are done!

The image point of (0,3) after these set of transformation, rotation of 90° (R90°) reflection across the y-axis (∘r) is (-3, 0).

In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).

By applying a rotation of 90° about the center of rotation to this point, the following coordinates would be produced:

(x, y)                                    →              (y, -x)

Ordered pair = (0, 3)      →      Ordered pair = (3, 0)

Next, we would apply a reflection across the y-axis as follows:

(x, y)                   →                           (-x, y)

Ordered pair = (3, 0)      →      Ordered pair = (-3, 0)

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The value of x that is a counterexample to the student's conjecture is of:

x = 0.

A counter example to a conjecture is a statement that makes the conjecture false.

In the context of this problem, the conjecture is presented as follows:

x + 5 < x².

The conjecture is only true for non-negative numbers, hence the counter example also has to be a non-negative number, meaning that these following options are removed, as they are negative numbers:

For x = 0, the conjecture is given as follows:

0 + 5 < 0²

5 < 0

Which is a false statement, hence x = 0 is the counterexample to the student's conjecture.

At x = 5, the conjecture is given as follows:

5 + 5 < 5².

10 < 25.

Which is true, however, the conjecture has already been shown to be false at x = 0.

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