a+4b=-4 a+10b=-16
how to solve this problem ​

Answers

Answer 1

Answer:

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

Subtract 4b on both sides:          a = -4 - 4b

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

Substitute in a:                    -4 - 4b + 10b = -16Combine like terms:            -4 + 6b = -16Isolate b term:                     6b = -12Isolate b:                              b = -2

Step 5: Solve for a

Define equation:                    a + 4b = -4Substitute in b:                       a + 4(-2) = -4Multiply:                                  a - 8 = -4Isolate a:                                 a = 4

Related Questions

How many groups of 1/3 inch are in 3/4 inch?

Answers

Answer: There are 2 1/4 groups of 1/3 inch in 3/4 inch.

Step-by-step explanation:

1. Find a common denominator. 3 and 4 are both multiples of 12, so 12 would be the common denominator.

2. Convert each fraction to have the common denominator of 12.

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

3. Divide using the keep, change, flip method.

9/12 * 12/4 = 108/48

108/48 = 2 1/4

To go on a summer trip, Kareem borrows 400$. He makes no payments until the end of 4 years when he pays off the entire loan. The lender charges simple interest at an annual rate of 6%.

Answers

What are the answers

1.5x + 6(−8 − x) + (12x − 8) ÷ 2, when x = −0.5

Answers

Answer:

-51.25

Step-by-step explanation:

I got -54.25 the person above me have something different

If u steal point i report

Answers

Answer:

i think the answer is all of them but if its wrong im sry

Step-by-step explanation:

prove that the angle sum of any triangle is 180°

Answers

I will be philosophical here...

A square is 4 -90degree angles (definition of perpendicular lines)

If we create a diagonal it splits it into two triangles which in result gives us

90degree + 90/2 degree+ 90/2 degree (because the diagonal split it in half and one full 90 by definition of perpendicular lines)

That gives us the beautiful 180 degrees

which is also what humans use to say that they’ve completely changed or did something completely different...

Mysteries of the triangle...

Six six six six six six

A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p value.

Answers

Answer:

p-value = 0.02535

Step-by-step explanation:

From the information given:

For men:

The sample size n₁ = 10

The standard deviation s₁ = 0.2

The sample mean [tex]\bar x _1 =[/tex] 2.9

For women:

The sample size n₂ = 10

The standard deviation s₂ = 0.2

The sample mean [tex]\bar x _2=[/tex] 3.1

Using the pooled variance;

[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]

[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]

[tex]= \sqrt{0.004+0.004 }[/tex]

[tex]= \sqrt{0.008 }[/tex]

= 0.08944

The z-test statistics is computed as:

[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]

[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]

z = - 2.236

The p-value =  2 × P(Z < -2.236)

From the z table;

p-value = 2 × (0.012675)

p-value = 0.02535

A line has slope -1. It passes through the point Q(2, -n) and R(4, -3). What is the value of n?
A-5
B 1
C 4
D5​

Answers

Answer:

i need this answer too

Step-by-step explanation:

lol

The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?

Answers

Answer:

rate of change of rent's texting with respect to the month x

Step-by-step explanation:

This expression is written in the form of equation of a straight line f(x) = mx+c where;

m is the slope of rate of change of the function

c is the y-intercept

On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x

Find the total surface area of this square based pyramid

Answers

Given:

Length of a side of base of a square base pyramid = 6 cm

Height of each triangular surface = 4 cm.

To find:

The total surface area of the square based pyramid.

Solution:

Area of a square with side length a is

[tex]\text{Area of square}=a^2[/tex]

Area of square with side length 6 cm is

[tex]\text{Area of square}=(6)^2[/tex]

[tex]\text{Area of square}=36[/tex]

So, area of square with side length 6 cm is 36 cm².

Area of triangle is

[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]

Area of each triangular surface is

[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]

[tex]\text{Area of each triangular surface}=12[/tex]

Total area of 4 triangular surfaces is

[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]

[tex]\text{Area of 4 triangular surfaces}=48[/tex]

So, area of all triangular surfaces is 48 cm².

Now, total area of pyramid is the sum of base area and area of all triangular sides.

[tex]Area=36+48[/tex]

[tex]Area=84[/tex]

Therefore, the area of given square pyramid is 84 cm².

What is the statistical decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079

Answers

Answer:

Fail to reject.

Step-by-step explanation:

For a goodness of fit test the decision rule is:

If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.

The hypothesis for a goodness of fit test is:

H₀: There is no differences between the observed and expected frequencies.

Hₐ: There is a significant differences between the observed and expected frequencies.

The computed value of the test statistic is, 6.079.

The critical value of chi-square is 9.488.

Calculated test statistic < Critical value

                            6.079 < 9.488

Thus, the null hypothesis was failed to rejected.

Please help, it’s math! Give me the answers for 50+ points

Answers

Answer:

1. 0.45

2. 0.30

3. 0.583 with a bar over 3

4. 0.80

5. 0.6 with a bar over 6

6. 0.83 with a bar over 3

7. 0.16 with a bar over 6

8. 0.9375

9. 0.13 with a bar over 3

10. 0.36 with a bar over 36

11. 0.625

12. 0.8125

13. 0.12

14. 0.4 with a bar over 4

15. 0.8 with a bar over 8

16. 0.6875

17. 0.56

18. 0.73 with a bar over 3

Evaluate the expression for the given values.

12x+5y3z, where ​x=12​, y = 6, and z = 3

Enter your answer in the box.

Answers

Answer: i think 4

Step-by-step explanation:

The answer would be 414.

which of the following is a proper fraction​

Answers

Answer:

Ummm... You didn't put any pictures or wrote any fractions lol.

Step-by-step explanation:

Have a great day! Thanks!

Answer:

where is the picture????????

The average score of a sample of 87 senior business majors at UTC who took the Graduate Management Admission Test was 510 with a standard deviation of sample 36. Provide a 98% confidence interval for the mean of the population.

Answers

Answer:

500.85 to 519.15

Step-by-step explanation:

The computation is shown below;

The z value for the 98% confidence interval is 2.33

Now the margin of error is

= (z × standard deviation) ÷ √n

= (2.33 × 36) ÷ √87

= (83.88 ) ÷ √87

= 83.88 ÷ 9.327379

= 8.99

= 9

Now The confidence interval mean is

= (510 - 9) (510 +9)

= (501) ; (519)

Which of the following is an open statement?
A) An angle that measures 40° is an acute angle.
B) An angle that measures 95° is an obtuse angle.
C)
XYZ is an acute angle.
OD) An angle that measures 95° is an acute angle

Answers

Answer:

OD

Step-by-step explanation:

an angle that is more than 90 is considered a acute angles

The correct option for an open statement is:

C) XYZ is an acute angle.

The answer is C.  We don't know if it's true or false.  

Here, we have,

we know that,

An open statement is one that can be true or false depending on the value or condition being discussed.

In this case, the statement "An angle that measures 95° is an acute angle" is an open statement because it can be evaluated as true or false based on the definition of an acute angle.

An acute angle is defined as an angle that measures less than 90 degrees.

Since 95° is greater than 90°, the statement is false.

However, if we were discussing a different angle measure, the statement could be true or false depending on its value.

Options A and B are not open statements because they provide specific angle measures (40° and 95°) and classify them as either acute or obtuse, which can be determined as true or false based on their given measures.

Option C does not provide any specific information or condition,

We don't know if it's true or false.  

The correct option for an open statement is:

C) XYZ is an acute angle.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12

Answers

Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

The correct answer is that it has a SLOPE of -2 and a y-intercept of 6 so the answer is #1

what is 33.32 divided 9.8 plsssssss helpppppppp

Answers

3.4

Is the answer you are looking for
Your answer would be 3.4


33.32/9.8=3.4

How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5

Answers

Answer:

Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)

Step-by-step explanation:

find the difference between 760 and 188

Answers

Answer:

572

Step-by-step explanation:

Work :

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

The answer is option A.

Step-by-step explanation:

If both equations are graphed side by side, will produce same figure.

The two tables below show the amount of tip ,y, included on the bill charging x dollars

Which companies the slopes of the lines created by the tables

Pleas help

Answers

Answer:

B

Step-by-step explanation:

trust

Answer:

B i think???

Step-by-step explanation:

Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2

Answers

Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

what phrase represents this expression x/3

Answers

Answer:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Step-by-step explanation:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Math Club members are selling games and puzzles. They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

Answers

Answer:

a) [tex]10x+8y \geq 200[/tex]

b) The members should sell at least 15 puzzles

Step-by-step explanation:

Let x represents selling games

and y represents puzzles

The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

a) The inequality will be:

[tex]10x+8y \geq 200[/tex]

at least 200 means the profit can be equal to 200 or greater than that.

b) If the members sell 8 games, how many puzzles would they have to sell?

Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]

Put x =8 and find value of y

[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]

So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.

The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?

Answers

Answer:

Length of Mr. Roger's field = 5 miles

Step-by-step explanation:

Given that:

Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles

Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile

Let,

l be the length of Mr. Roger's field

Area of field = Length * Width

[tex]\frac{10}{3}=\frac{2}{3}l[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]

Hence,

Length of Mr. Roger's field = 5 miles

Which choice represents a pair of parallel lines?
A. 8x-2y=20 & y= -1/4x+3
B. y=3x+5 & y= 1/3x-2
C. -3x+4y=18 & y= 3/4x+6
D. -3x+4y=16 & y= -3/4x-10

Answers

Answer:

A

Step-by-step explanation:

How do you do a question like this? 80% as a fraction in simplest form.

Answers

Take away 0.20 of the amount.


If P = Set of all triangles, Q = Set of scalene triangles, R = Set of isosceles triangles and
S = Set of equilateral triangles.
State which of the following statements are true or false.
(a) QCР
(b) RCS
(c) SCR

Answers

Given:

P = Set of all triangles,

Q = Set of scalene triangles,

R = Set of isosceles triangles and

S = Set of equilateral triangles.

To find:

Which of the following statements are true or false?

Solution:

We know that,

Scalene triangles : All sides are different.

Isosceles triangles : Two sides are equal.

equilateral triangles : All sides are equal.

Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.

[tex]Q\subset P[/tex]

So, (a) is true.

All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.

[tex]R\nsubseteq S[/tex]

So, (b) is false.

Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .

[tex]S\subset R[/tex]

So, (c) is true.

What type of counting problem is this? If Jackson is at the store and can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,
blueberries, and kiwis), how many different collections of fruit can he choose?
a. Combination with repetition
b. Permutation with repetition
c. Combination without repetition
d. Permutation without repetition​

Answers

Answer:

Combination with repetition

Step-by-step explanation:

This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).

The number of different collections of fruit can he choose should be considered when there is Combination with repetition

Calculation of the number of different collections:

Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)

So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.

Therefore, the first option is correct.

Learn more about number here: https://brainly.com/question/14650093

Will give BRAINLIEST

Answers

Answer:

post office, Library, Park, town hall

Step-by-step explanation:

Post office, library, park, town hall

It helps if you draw a number line to visualize it
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