Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7

Answer:

h = mt

Step-by-step explanation:

Answer: A

Angle a = Angle b since they are vertical angles

Answer:

B

Step-by-step explanation:

Answer:

C. (5, 6)

Step-by-step explanation:

Got it correct on test :)))

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

Answer:

h=14

Step-by-step explanation:

3/4*1/4=3/16

21/32/(3/16)=14

Answer:

h=25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Answer:

A non-response occurred.

Step-by-step explanation:

The study is wrong because the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole.

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given that the council decided to take a poll of 284 randomly selected residents.

Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.

Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.

Further, the total number of people who support the pole and the number of people who does not support the pole is,

Total number of people = 219 + 45 = 264

Since the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.

Learn more about Survey here:

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Answer: Flying disc

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula for each object:

Circumference(C) = π x diameter

Diameter = 3  

Circumference (measured) = 10  

C (calculated) = π x d = π x 3 = 9.42  

10≅9.42

Diameter =23

Circumference (measured) = 28  

C (calculated) = π x d = π x 23 = 72.25

72.25 ≠ 28

Not accurate

Diameter =8

Circumference (measured) =25  

C (calculated) = π x d = π x 8= 25.13

25 ≠ 25.13

Diameter =15

Circumference (measured)=47

C (calculated) = π x d = π x 15 = 47.12

47 ≠47.12

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Jar lid

Step-by-step explanation:

If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a  jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)

Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Unknowns:

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

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Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.

y = x + b (you don't have to put 1x)

The line intersects the y-axis at 3

y = x + 3

I hope this helps :))

Answer:

y= -x+3

Step-by-step explanation:

looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3

Answer:

About 2.38 square feet of extra fabric: 1.25 of dark blue and 1.13 of light blue

Need $13.75 to complete template for white fabric

Step-by-step explanation:

Template requires 18 square feet of white, 20 square feet of light blue and 21 square feet of dark blue.

She has more than enough for both shades of blue fabric.

She needs 5.85 square feet more of white fabric

Since it is $2.35 per square feet of white fabric, 2.35 * 5.85 = $13.75.

It will cost her $13.75 for more white fabric

Hope this helps!

It has one solution.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

Answer is B

Step-by-step explanation:

C) -1 seconds is back into the past by 1 second, which makes it wrong

A) 19 seconds for a ball to be in the air? That's too long

D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.

Answer:

7.722 cm^2.

Step-by-step explanation:

The area required is 1/4 of the difference of the area of the square and the circle.

The radius of the circle = 1/2 * 12 = 6 cm.

The area required = 1/4 * (12^2 - 3.142 * 6^2)

=7.722 cm^2.

Answer:

7.72500

Step-by-step explanation:

Here are the steps for and problem like this one.

Answer:

6.25%

Step-by-step explanation:

Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.

Mathematically,

Percent error = (correct value - measured value)/correct value  * 100%

_________________________________________________

in the problem given

measured value = 75 degrees Celsius

correct value = 80 degrees Celsius ( as given in reference book)

thus,

Percent error = (80 - 75)/80 * 100%

Percent error = (5/80 )* 100% = 6.25%

Percent error calculated by him is  6.25%.

We will see that the percent error in Joshua's measure is:

Pe = 6.25%

The percent error for a measure is computed as:

[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]

Where A is the accepted value and M is the measured value.

Here we have:

A = 80°C

M = 70°C

Replacing that we get:

[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]

So we can conclude that the percent error is 6.25%

If you want to learn more about percent error, you can read:

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Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

Answer: -4 meters

Step-by-step explanation:

8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.

Answer:

-4

Explanation:

To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.

8 - 4

-4

Therefore, the change in depth was -4 meters.

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation

The first answer is 7.85m²

the second answer would be 25.71m²

Answer:

The ? is 4x * (-2x) = -8x².

Answer:

-8x^2

Step-by-step explanation:

-2x*4x=-8x^2

that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring

hope this is the right answer

Answer:

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

We know a^b^c = a^(b*c)

2^4x = 2^(2*(x-3))

2^4x = 2^(2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x= 2x-6-2x

2x=- 6

Divide by 2

2x/2 = -6/2

x = -3

Answer:

(-2 , 1/2)

Step-by-step explanation:

x = -2

y = 1/2 or 0.5

Answer:

They are similar, so 6/5 = 10/x.

You can do the rest yourself!