sue spent 95% of her salary for the month. If she has $1500 remaining. What is Sue's total salary for the month?

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

Step-by-step explanation:

[tex]area \: of \: rectangle = length \times \: width[/tex]

Given

[tex]l = 2w - 3[/tex]

using this

[tex]area = l \times w = (2w - 3)(w) = 27[/tex]

[tex]2 {w}^{2} - 3w = 27[/tex]

[tex]2 {w}^{2} - 3w - 27 = 0[/tex]

[tex]2 {w}^{2} - 9w + 6w - 27 = 0[/tex]

[tex]2w(w - 4.5) + 6(w - 4.5) = 0[/tex]

[tex](2w + 6)(w - 4.5) = 0[/tex]

[tex]w = - 3 \: \: or \: \: w= 4.5[/tex]

Since size cannot be negative therefore

[tex]w = 4.5cm[/tex]

[tex]l = 2w - 3 = 9 - 3 = 6[/tex]

Hence length of the rectangle=6m

width of the rectangle=4.5m

Answer:

Let length and breadth of rectangle be x metres and y metres respectively.

xy = 27 ---- eqn 1

x = 2y-3 ---- eqn 2

Sub eqn 2 into eqn 1:

(2y-3) × y = 27

2y² - 3y = 27

2y² - 3y - 27 = 0

(y+3)(2y-9) = 0

y+3=0 or 2y-9=0

y=-3 (rejected) 2y=9

y=4.5

Sub y=4.4 into eqn 2:

x = 2(4.5) - 3

= 6

Hence,

length of rectangle = x metres

= 6m

breadth of rectangle = y metres

= 4.5m

Answer:

I'm missing some information... but I'll answer the question regardless

x=the cost of the meal

1.2x≤$15

divide both sides by 1.2

x≤$12.5

In short, this means that Nicole can buy anything that costs $12.50 or less.

Answer:

80 yds^2

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·2+9·2+9·2)=80

Answer:

they are 13 points away from eachother

Step-by-step explanation:

count up or down then left or right

Answer:

13 units.

Step-by-step explanation:

Distance = √[(x2-x1)^2 + (y2-y1)^2]     where (x1,y1) and (x2,y2) are the 2 points

So here the distance =  √(-4 - -4)^2 + (8 - -5)^2)

√(0 + 13^2)

= 13

Answer:

1.0625

Step-by-step explanation:

3.4 divided by   3.2  =  1.0625       Did you enter your Q and A correctly ?

Answer:

[tex]\frac{-17}{6}[/tex]

Step-by-step explanation:

Let x be the number we want to find.

First we analyze the given informations

Info 1 : Two times the sum of four times a number plus six

We translate this statement (info 1) mathematically as :  2×(4x + 6)

Info 2 : five less than twice the same number

We translate this statement (info 2) mathematically as : 2x - 5

Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5

2×(4x + 6) = 2x - 5

⇔ 8x + 12 = 2x - 5

⇔ 8x - 2x = -5 - 12

⇔ 6x = - 17

⇔ x = -17/6

Answer:

3/4

Step-by-step explanation:

8x = 6

x = other number = 6/8 = 3/4

Answer:

112.491 = one hundred twelve and four hundred ninety-one

thousandths.

Step-by-step explanation:

The square of the distance between two points is the sum of the squares of the difference between two coordinates. The value of n can be -13 or 3.

The distance between two points is given by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As it is given that the distance between points R and S is half the distance between points S and T.

[tex]2(RS) = ST[/tex]

Now, the distance between RS can be written as,

[tex]RS=\sqrt{[-6-(-2)]^2+[-5-(-5)]^2}\\RS = \sqrt{(-6+2)^2+(0)^2}\\RS = \sqrt{16}\\RS = \pm 4[/tex]

Further, we can write,

[tex]2(RS) = ST\\\\2(\pm 4) = \sqrt{[-2-(-2)]^2+[-5-n]^2}\\\\\pm 8 = \sqrt{(0)^2+(-5-n)^2}\\\\\pm 8^2=(-5-n)^2\\\\\pm8=(-5-n)\\\\[/tex]

When the value of 8 is positive,

[tex]+8+5=-n\\\\13=-n\\\\n=-13[/tex]

When the value of 8 is negative,

[tex]-8+5=-n\\\\-3=-n\\\\n=3[/tex]

Hence, the value of n can be -13 or 3.

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Let's solve your system by substitution.

2x−2y=−4;2x+y=11

Rewrite equations:

2x+y=11;2x−2y=−4

Step: Solve2x+y=11for y:

2x+y=11

2x+y+−2x=11+−2x(Add -2x to both sides)

y=−2x+11

Step: Substitute−2x+11foryin2x−2y=−4:

2x−2y=−4

2x−2(−2x+11)=−4

6x−22=−4(Simplify both sides of the equation)

6x−22+22=−4+22(Add 22 to both sides)

6x=18

6x/6 = 18/6

(Divide both sides by 6)

x=3

Step: Substitute3forxiny=−2x+11:

y=−2x+11

y=(−2)(3)+11

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer:

3/4

hope this helps. have a nice day :>

Answer:

m∠A = 139°

Step-by-step explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

[RevyBreeze]

Supplementary angles have sum 180°

m<A

Step-by-step explanation:

I hope this helps, you take the substitution and put it in where the variable once was in parenthesis, then you let them interact as the vaiable onece was but now you can solve because you know the value.

[tex][text]\orange{ \rule{100pt}99999pt}[/tex]

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]

Answer:

48 Students

Step-by-step explanation:

It is given that the total number of students is 120, and to find the amount of students that chose carrots or potatoes as their favorite vegetable multiply the percentage by 120 and add. 120 * .1 = 12. 120 * .3 = 36. 36 + 12 = 48.

Answer:

48 Students

Step-by-step explanation:

An example of 7th grade geometry Math in the Midwest 2019 is Puzzle: Simplify -5 + 8 - 7.

Geometry is known to be an aspect of mathematics that  deals with the study of sizes, positions of angles, and others.

To simply the above, -5 + 8 - 7, follow the rule of BODMAS. and thus: we solve for addition before subtraction.

= -5 + 8 = 3

3 - 7 = -4

Therefore the simplified form of  -5 + 8 - 7 is -4

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Answer:1/8, 2/5 3/4

Step-by-step explanation: you can turn each into decimal

0.125, 0.4 and 0.75

Answer:

[tex]\dfrac{1}{8} < \dfrac{2}{5} < \dfrac{3}{4}[/tex]

Step-by-step explanation:

[tex]\text{You can rewrite the fractions as}\\\\\dfrac 18=\dfrac{5}{40}\\\\\\\dfrac 25 = \dfrac{16}{40}\\\\\\\dfrac 34 = \dfrac{30}{40}\\\\\\\text{So,} ~\dfrac{5}{40} < \dfrac{16}{40} < \dfrac{30}{40}[/tex]

The statement that is true about the trinomial is the greatest common factor of the terms is 1.

A trinomial is a polynomial with three terms or monomials.

To know which statements about the polynomial are true, let's check each of the statements individual.

A.) The polynomial can be rewritten after factoring as [tex]10(3x^2+4xy+5y^2)[/tex]

Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.

B.) The polynomial can be rewritten as the product of a trinomial and xy.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

C.) The greatest common factor of the polynomial is 51x2y2.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

D.) The greatest common factor of the terms is 1.

As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.

Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.

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Answer:

Step-by-step explanation:The statement that is true about the trinomial is the greatest common factor of the terms is 1.

What is a trinomial?

A trinomial is a polynomial with three terms or monomials.

To know which statements about the polynomial are true, let's check each of the statements individual.

A.) The polynomial can be rewritten after factoring as

Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.

B.) The polynomial can be rewritten as the product of a trinomial and xy.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

C.) The greatest common factor of the polynomial is 51x2y2.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

D.) The greatest common factor of the terms is 1.

As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.

Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.

The temperature difference between the pan and room temperature would be 77.9⁰C in the next 15 minutes,

Let y represent the temperature difference after x minutes.

The difference between the pan and room temperature is currently 197°C and is decreasing by 6% every minute, hence:

y = 197(100% - 6%)ˣ

y = 197(0.94)ˣ

The temperature in the next 15 minute is:

y = 197(0.94)¹⁵ = 77.9⁰C

The temperature difference between the pan and room temperature would be 77.9⁰C in the next 15 minutes.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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Answer:

Step-by-step explanation:

20x+21=0

20x=-21

x=-1.05

Answer:

in photo

Step-by-step explanation:

remember you still need to round it to 2 decimal places!!

The lateral area of the pyramid is 15!

1a. 35

b. 17.5

c. 3.5d

2. $4.5

Step-by-step explanation:

maybe if i reply I'll get points or whatever