Mrs. Thomas is planning a business trip. she lives in Austin and will be driving through San Antonio to Laredo, the distance between Austin and San Antonio is 79 miles. the distance from Austin to Laredo is 6 miles less than 3 times the distance from Austin to San Antonio.

a. Write an equation that can solve be sloved to find the distance from Austin to Laredo.

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]

It can be grouped and factored as:

[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

Learn more about factors of a polynomial here:

https://brainly.com/question/16078564

Answer:

d

Step-by-step explanation:

:)))))))))))))

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

Answer:

23%

Step-by-step explanation:

% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%

Answer:

B should be your answer

Step-by-step explanation:

I had this question.

The angles at point A need to be congruent. Option B is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC

Triangle ABC ≅Triangle ADC by SAA postulate.

Thus, the angles at point A need to be congruent. Option B is correct.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2

Solution:

A shape is only called symmetrical when:

A shape is called non-symmetrical when:

This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.

A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.

And it is not symmetrical when the mirror image changes.

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.

A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.

First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.

165-45=120

Now we know that she paid 120 dollars in total for lessons.

Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.

120/4=30

It takes $30 an hour for lessons.

Now we can form an equation.

Since it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid.

No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.

Hence, the equation formed to find the cost of each ession is x=30h

To learn more about fixed charge, use the link given below:

https://brainly.com/question/14592793

#SPJ2

Answer:

The answer is ( -1/2 , 1/2) , (-1,2)

Step-by-step explanation:

hope this helps

Answer:

The answer is 590.

Answer:

The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.

Step-by-step explanation:

From the circle with center A, DE and CF are diameter while FA and EA are radius.

A circle is the locus of a point such that the distance from the fixed point known as the center is constant.

A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.

From the circle with center A, DE and CF are diameter while FA and EA are radius.

Find out more on Circle at: https://brainly.com/question/24375372

Answer:

DE=diamter

FA=Radious

AC=Radious

CF=Diameter

EA=Radious

Step-by-step explanation:

All correct i took test

you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15

Answer:

c

Step-by-step explanation:

a. Solve

-4x + 5 = 7

-4x = 2

x = -0.5

b. Solve

3x + 1 = 10

3x = 9

x = 3

c. Solve (Correct)

2x - 3 = -11

2x = -8

x = -4

d. Solve

-2x + 7 = 1

-2x = -6

x = 3

To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...

[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]

[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]

[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]

[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]

➪ Thus, Option C is correct!

Answer:

C. 2

Step-by-step explanation:

Mode is the number that repeats the most or more often than others. The number 2 repeats three times. The number 0 repeats twice. Numbers 3 and 4 do not repeat.

The expression if x = 3 and y = 2 is 2

Given the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]

Given the following parameters

x = 3 and y = 2

Substituting the values into the following

[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]

Hence the expression if x = 3 and y = 2 is 2

Learn more on function here: https://brainly.com/question/24748644

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

Answer:

x = 7°

Step-by-step explanation:

Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)

Solve:

The value of x = 7

There is a picture attached for this problem.

-Chetan K

General equation of linear function:

[tex]y=mx+b[/tex]

point (−4,−7);

[tex]x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5[/tex]

[tex]-7=1,5\times(-4)+b\\-7=-6+b\\b=-1[/tex]

Ans:

[tex]y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1[/tex]

Answer:

Step 1

Step-by-step explanation:

The symbol seems to have changed from divide to add. The work done in the parentheses is also wrong by the order of operations; multiplication comes before addition.

Answer:

3/4

Step-by-step explanation:

It says factor thithink multiplication.

So the question can translate to what number can I multiply 16 by to get 12.

16×k=12

Thus k=12/16 =3/4.

Answer:

Step-by-step explanation:

I clicked see solution

T=5 years

It will take 5 years for a person to have 10100 dollars.

Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.

Given:

A person invest 7500 dollars in a bank.

The bank pays 6 interest compounded semi-annually.

The compound interest formula is equal to  

A = P([tex]1+ r/n)^{n/t[/tex]

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

So, substituting the values we get

10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]

1.3466 = (1.03[tex])^{2t[/tex]

Taking log on both side we get

log (1.3466) = 2t log (1.03)

2t = log ( 1.3466- 1.03)

2t =0.12923 / 0.01283

t = 10.072 / 2

t = 5. 036 year

Learn more about Compound Interest here:

https://brainly.com/question/12581997

#SPJ3

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]

[tex]8m {}^{3} - 128m \\ 8m( {m}^{2} - 16)[/tex]

By taking common

Answer:

4x + 4

Step-by-step explanation:

I answered this correctly on my test

Hopes this help

Please let me know if I'm wrong

Answer:

4x+4

Step-by-step explanation:

Got it right on my test

Answer:

n =22

Step-by-step explanation:

12-5=7

15-5=10

20-5=15

n-5=17

collect like terms

n=17+5

n=22

Answer:

Looking at the rule we can see that our x value is always 5 more than our y value.  So to get our n we just take the y value of 17 and add 5 and we get 22.  So our n is equal to 22.

Answer:

72%

Step-by-step explanation:

1. 53 - 30 = 23 ( under 35 years old plan to go hiking)

2. 23 + 9 = 32 (under 35 years old Total)

3. 83 - 32 = 51 ( 35 years old or over Total)

4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)

5. Total visitors under 35 years old = 32

visitors under 35 years old plan to go on hiking = 23

percentage = (23/32)*100 = 71.8 = 72% approx

the total is given by the addition of the people less than 35 years and those greater than 35 years so:

QUESTION 1:

x+30=53

x=53-30

x=23

QUESTION 2:

9+x=30

x=30-9

x=21

QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:

23+9=32

QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:

21+30=51

PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:

32+51=83

IT GAVE US 83 SO OUR ANSWERS ARE CORRECT

and finally to find the percentage we have 53 as the total so:

(23/32)×100%

0.7187×100%

71.87%

and when we round it it gives us 72%

SO OUR FINAL ANSWER IS 72%

Answer:

xd eso tan faciiil

Step-by-step explanation:

facil 2+2=?

the parallelogram's sides are:

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB

AD = 5 + 2AB....(1)

Also given

parameter = 76

For parallelogram parameter = 2(a + b)

where a and b are adjacent sides

2(a + b) = 76

a + b = 38

AB + AD = 38

From equation 1

AB + 5 +2AB = 38

3 AB = 33

AB = 11

substituting in equation 1

AD = 27

therefore, the Sides of the parallelogram are:

AB = 11

BC = 27

CD = 11

AD = 27

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ2

we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.

2 = 2 * 1

4 = 2 * 2 * 1

well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.

[tex]\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}[/tex]

Step-by-step explanation:

since the pond is circular, its area will be πr².

a= πr², where r= 7ft

1 m ≈ 3.2808 ft

3.2808 ft ≈ 1 m

1 ft = 1/3.2808

7 ft = 1/3.2808 * 7

= 2.13362.. m

a= πr²

a= 3.14 * ( 2.13362...)2

a= 3.14 * 4.5523596...

a= 14.2944..

a= 10.0 m² (rounded to nearest tenth)

is the question right?

Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.

Area of that circular shaped object with radius r units is given by:

[tex]A = \pi \times r^2 \: \rm unit^2[/tex]

For the given case, we've got a circular pond with a radius of 7 ft.

Since 1 m ≈ 3.2808 ft, thus,

dividing both the sides by 3.2808, we get

[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]

Therefore, the radius of the considered circular pond is approximately 2.1336 meters.

Using the formula for area of circle to find the area of circular pond, we get:

[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]

14.294 rounded to nearest hundredth would be 14.29

(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th  place).

Thus, the area of the circular pond in consideration is 14.29 square meters approximately.

Learn more about area of circle here:

https://brainly.com/question/13004063