Given the following equations:
Equation 1
5x+2y=7
Equation 2
x+y=5
Find the value of 4x + y

Answer: d = 1/4

Step-by-step explanation:

−16(d+1)=−20

Step 1: Simplify both sides of the equation.

−16(d+1)=−20

(−16)(d)+(−16)(1)=−20(Distribute)

−16d+−16=−20

−16d−16=−20

Step 2: Add 16 to both sides.

−16d−16+16=−20+16

−16d=−4

Step 3: Divide both sides by -16.

-16d = -4

-16     -16

d = 1/4

Hope this helps :)

Answer:

d=1/4 or .25

Step-by-step explanation:

-16(d+1)=-20

-16d-16=-20

-16d=-20+16

-16d/-16=-4/-16

d= 1/4 or .25

Answer: The slope is 5

Step-by-step explanation:

The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.

Answer:

a) 840 different ways

b) 35 different choices of books

Step-by-step explanation:

We know that our literature class will read a total of 4 novels this year.

All novels chosen by class vote from a list of 7 possible books offered by the teacher.

Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :

[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]

Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :

[tex](7).(6).(5).(4)=840[/tex] (I)

Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.

Continuing with the idea, we deduce the equation (I).

For item b) :

Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.

We define the combinatorial number as :

[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]

Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :

[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]

a) 840 different ways

b) 35 different choices of books

Answer:

Gracie eats 120 more.

Step-by-step explanation:

i know that 160 - 40 = 120

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer:

1. 1/2, 2. 2, 3. 1/-3, 4. -2

Step-by-step explanation:

1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.

2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.

3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.

4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.

Just always remember y2-y1/x2-x1=m is the equation for slope.

(m is the variable for slope)

Hoped this helped you : )

Answer:

On the screenshot (y=x+10)

Step-by-step explanation:

Have a great day!

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

The Measure of <FBA is 62 degree.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.

Given:

m∠FBE=(4x+2)° and m∠EBD=(5x−13)°

as, FB bisects <EBA

So, <EBF = <FBA

and,  EB bisects <FBD

So, <FBE= <EBD

4x+ 2 = 5x -13

x= 15

So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62

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Answer:

La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²

Step-by-step explanation:

La información dada son;

La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34

La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12

Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;

3·x - 4·y = 34

4·y = 34 - 3·x

y = 34/4 - 3/4·x = 8.5 - 3/4·x

Primera tangente

y = 8.5 - 3/4·x

3·y = 12 - 4·x

y = 12/3 - 4/3·x = 4 - 4/3·x

Segunda tangente

y = 4 - 4/3·x

La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;

La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3

La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)

y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3

Por tanto, la ecuación del primer radio es;

y = 4/3·x - 43/3

La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4

La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)

y = 3/4×(x - 3) = 3/4·x - 9/4

Por tanto, la ecuación del segundo radio es;

y = 3/4·x - 9/4

Los dos radios se encuentran en el centro dado como sigue;

4/3·x - 43/3 = 3/4·x - 9/4

4/3·x - 3/4·x  = 43/3 - 9/4

7/12·x = 145/12

x = 145/12

y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16

Las coordenadas del centro = (h, k) = (145/12, 109/16)

La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48

La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;

(x - 145/12)² + (y - 109/16)² = (545/48)².

I cannot see the text. If you take another picture zoomed in I will answer it.

Answer:

The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%

Answer:A

Step-by-step explanation:

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

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Answer:

Multiplying and factoring are similar as they both deal with what make up a number. Factors are multiplied to become numbers, and numbers are multiplied to become multiples.

Answer:

if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10

Step-by-step explanation:

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Standard form :

[tex]2,300,000[/tex]

_________________________________

Science notation :

[tex]2.3 \times {10}^{6} [/tex]

_________________________________

Science E notation :

[tex]2.3 \: E6[/tex]

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Answer:

A.) Y.

Step-by-step explanation:

I'm not sure how to explain.

Answer:

72 hours

Step-by-step explanation:

Answer:

X=51

y=39

Step-by-step explanation:

x=90-39=51

y=90-51=39

Answer:

I think it is 7.86.

Step-by-step explanation:

You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.

If this helped please feel free to click the thanks button below. Thank you! :-D

Answer:

Following are the solution to this question:

Step-by-step explanation:

It was right because the "Two" is "2," "more is" and "+" are two the most hours than Nandini and "n," so 2+n or n+2 is a true, phrase of Nandini's transcription".

Now, this vector n is unknown, so the number of hours Nandini researched should reflect.

Two further hours which Nandini researched Xander. So, Xander studied the number of hours = n + 2 or 2+ n. Kalley has therefore written a correct word.

Answer:

It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.

Step-by-step explanation:

Say thanks for the anwer

Answer:

have a good night!

Step-by-step explanation:

[tex]AB = \sqrt{ {x}^{2} + y {}^{2} } [/tex]

[tex]AB = \sqrt{ {2}^{2} + {5}^{2} } [/tex]

[tex]AB = \sqrt{4 + 25} [/tex]

[tex]AB = \sqrt{29} [/tex]

Answer:

C

Step-by-step explanation:

The expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4) would be equal to (3/2 . 1/4)14

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; can  be used to indicate the logical syntax's order of operations and other features.

Now we have given an expression as;

14(3/2 . 1/4)

Using associative property to make it easier to evaluate;

14(3/2 . 1/4)

= (3/2 . 1/4)14

The correct answer is D.

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Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Step-by-step explanation:

First find the cost of making a kg of Baking flour.

Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.

The formulas would be;

x + y = 1

5.75x + 1.45y = 4.05

x = 1 - y

5.75 ( 1 - y) + 1.45y = 4.05

5.75 - 5.75y + 1.45y = 4.05

5.75 - 4.3y = 4.05

4.3y = 5.75 - 4.05

4.3y = 1.7

y = 1.7/4.3

y = 0.395 kg

x = 1 - 0.395

= 0.605kg

To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.

To make 17.2kg of Baking flour;

Bleached flour = 0.605 * 17.2 = 10.4kg

Unbleached flour = 0.395 * 17.2 = 6.8 kg

Answer:

The distribution is approximately normal with mean = 2.8 and standard error = 0.4

Step-by-step explanation:

We are given;

Mean; μ = 2.8

Standard deviation; σ = 4

Sample size; n = 100

Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)

The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.

Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4

Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4

Answer: 19 is my answer 19 is left over

thirdStep-by-step explanation:

Answer:

9x-9

Step-by-step explanation:

9 and a product of a number is 9x, and less 9 is 9x-9.

Hope this helps :D