Find the solution of this system of equations
6x + 3y = 12
6x - 5y = 60

Answer:

Step-by-step explanation:

1 1/4-2/3= 1 3/12-8/12= 15/12-8/12=7/12

7/12 simplified to 7/12

Answer:

kayla sold 7/12. Kayla sold less than Ethan

Answer:

13

Step-by-step explanation:

This angle is called a reflective angle so the angles equal eachother. So put them equal to eachother and solve.

91=7x

x= 91÷7

x=13

Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms

Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms

A survey conducted in 2008 found that 46% of full-time college students surveyed were current drinkers of alcohol.

Survey can be defined as data or information collected from a population so as to draw or reach a conclusion.

Based on the survey that was carried out by the researcher in the year 2008 for full time college student the survey shows that 46% of the student consume alcohol.

Therefore 46% of full time college student are drinkers of alcohol.

Learn more about survey here:https://brainly.com/question/968894

#SPJ6

Answer:

-x² + 16x - 60

Step-by-step explanation:

Given expression:

Step 1. Insert brackets to isolate the "-" from the (x - 8)².

           ⇒ -(x - 8)² + 4

           ⇒ -[(x - 8)²] + 4

Step 2. Use the formula (a - b)² = a² - 2ab + b²

          ⇒ -[(x - 8)²] + 4

          ⇒ -[x² - 2(x)(8) + 8²] + 4

Step 3. Open the parenthesis

          ⇒ -[x² - 2(x)(8) + 8²] + 4

          ⇒ -x² + 2(x)(8) - 8² + 4

Step 4. Simplify as needed

          ⇒ -x² + 16(x) - 64 + 4

          ⇒ -x² + 16x - 60

Answer:

solve by using pythagoras theorem then

square on both side

Answer: 4

Step-by-step explanation:

Answer: 45.25

Step-by-step explanation: Add all the digits together and divide by 8

Mean is the average

Answer:

45.25

Step-by-step explanation:

The mean is the average. Add up all of the values (45+40+47+50+45+49+40+46). This is equal to 362. The amount of values in the set is 8. Divide 362 by 8 to get the mean of 45.25.

Answer:

I'm not so sure but I know that you have to multiply all the numbers... so that should be 689.04

Step-by-step explanation:

I hope that helped

Answer:

Hello,

To find amount of inches in 58 centimeters, you need to use the information given.

0.4 inches = 1 centimeter

??? inches = 58 centimeter

58 x 0.4

= 23.20

Hence your answer is 23.2 inches are in 58 centimeters

Hope this helps ^^

Answer:

126.96

Step-by-step explanation:

Answer:

the answer would be -110(c⁴d²e³)

Hope this helps!

Step-by-step explanation:

Expression given,

[tex] \\ \longrightarrow \qquad \sf 5x+3x+2y+4y \\ \\ [/tex]

Here, in the expression we have to find the like terms.

So from the expression we that, 5x and 3x are like terms and 2y and 4y are like terms too, so now we have to combine them and then we will get a new expression so.

[tex]\\ \longrightarrow \qquad \sf 8x + 6y \\ \\ [/tex]

So, 8x + 6y is the new expression.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2543\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]2543=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2543}{2000}=e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2543}{2000}\right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \ln\left( \cfrac{2543}{2000}\right)=\cfrac{r}{25}\implies 25\ln\left( \cfrac{2543}{2000}\right)=r\implies 6\approx r[/tex]

Answer:

B. 140

just do an elimination process to figure out 160 is more wider and 90 is just too small

so it was between 100 and 140

to calculate perimeter of triangle use a+b+c

hope it helps...!!!

Answer: Danny's supermarket

Step-by-step explanation:

Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle

Marta's price- $1.50 for 1.25 liter water bottle

1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price

Answer:

A 5(0.5)^x

B 3(2)^x

C 5(3)^x

D 8(1.25)^x

E 8(0.75)^x

F 10(0.5)^x

Step-by-step explanation:

A 5(0.5)^x

(-1,10) goes by 1/2

B 3(2)^x doubles

C 5(3)^x triples

D 8(1.25)^x * 1 1/4

E 8(0.75)^x by 3/4

F 10(0.5)^x x 1/2

Answer: 12.5%

Step-by-step explanation:

Increase is 54-48 = 6

6/48 × 100/ 1

600/48

Answer:

hope this helps and make me brainliest

Step-by-step explanation:

. You have that:

- The homeowner want the length of the swimming pool to be 4 feet longer than its width.

- He wants to surround it with a concrete walkway 3 feet wide.

- He can only afford 300 square feet of concrete for the walkway.

2. Therefore, the tota area is:

At=L2xW2

L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).

W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

3. The area of the walkway is:

A2=At-A1

A2=300 ft²

4. Therefore, you have that the width of the swimming pool is:

A2=(W1+10)(W1+6)-(W1+4)(W1)

300=(W1²+6W1+10W1+60)-(W1²+4W1)

W1²+16W1+60-W1²-4W1-300=0

12W1-240=0

W1=240/12

W1=20 ft

5. And the length is:

L1=W1+4

L1=20+4

L1=24 ft

All of the above :D

Sure hope this is helpful for you

Answer:

A ~ 34.63201

Step-by-step explanation:

Answer:

slope = 1/6

all steps in picture. :)

Slope:-

Answer: -7/9

Step-by-step explanation: Get the LCM of the denominator 3 and 9

Place both fractions using same LCM

You will have - 3/9 -4/9 = -7/9

Because they both have negative signs, you will add 3 and 4

Answer:

y = 5/4x + 6

Step-by-step explanation:

take the y coordinate in (-8,6) which is 6.

take the slope.

y = (put slope here)x + (put y coordinate here) !

thats it :) have a good day!

Answer: 3.8 in decimal form.

Step-by-step explanation:

19/5=3.8

The interval at which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

The average rate of change is a type of function that describes the average rate at which a quanity decreases or increases with respect to another quanity.

Generally, for a function with a negative average rate of change, the graph must face down and have a negative slope.

Based on the graph shown in the image attached below, we can deduce that the interval for which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

Read more on functions here: https://brainly.com/question/4246058

Answer:

[tex]\sqrt32} inches[/tex]

Step-by-step explanation:

The crossbar and two given lengths form a right triangle.  We know this because we see a right angle marked on the diagram in between the two given sides.

Answer:

14,200 pounds.

1. Convert the mixed fraction into improper fraction:

To convert a mixed fraction into an improper fraction, we must multiply the whole number with the denominator and add the numerator to the product. The denominator of the improper fraction will remain the same as the denominator in the mixed fraction.

[tex]\implies 7 \dfrac{1}{10} = \dfrac{(7 \times 10) + 1}{10} = \dfrac{71}{10}[/tex]

2. Determine the number of pounds in 71/10 tons

It should be noted that:

Now, let's use the unitary method to determine the amount of pounds in 71/10 tons. Multiply both sides by 71/10 to do so.

[tex]\implies \text{1 ton = 2000 pounds}[/tex]

[tex]\implies \text{1 ton} \times \dfrac{71}{10} = 2000 \times \dfrac{71}{10}[/tex]

[tex]\implies \dfrac{71}{10}\text{ ton} = 200 \times 71[/tex]

Simplify as needed:

[tex]\implies \dfrac{71}{10}\text{ ton} = 14,200 \ \text{pounds}[/tex]

Answer:

the answer is -3

Step-by-step explanation: