The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answer:

13

Step-by-step explanation:

156/12

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

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

We can substitute the points we know:

→ (0,4):

[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]

→ (-3,0):

[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]

So, the line equation in form requested is:

[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]

The area of a rectangle is the product of length and width thus the area will be 1358 square meters.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of the rectangle = 2( length + width).

It is known that,

Area of rectangle = length × width.

Area = 97 x 14 = 1358 sqare meters

Hence "The area of a rectangle is the product of length and width thus the area will be 1358 square meters".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ5

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

Answer:

A negative number, a negative integer, a negative multiple of 3, etc.

Step-by-step explanation:

Answer:

integer

???????

Step-by-step explanation:

I'm not sure

Answer:

y=7/6x

Step-by-step explanation:

When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.

I hope you understood and that this helps!

Answer:

y=5/6x-11

Step-by-step explanation:

Slope intercept form: y=mx+b

With slope: y=5/6x+b

Replace x with 6 and y with -6

[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]

-6=5/6(6)+b

Simplify:

-6=5+b

Subtract 5 on both sides:

-11=b or b=-11

Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)

Hope this helps!

Answer:

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Step-by-step explanation:

using the Banzhaf power index for each voter

{76: 52, 39, 31, 25, 9}

Voter A = 52

Voter B = 39

Voter C = 31

Voter D = 25

Voter E = 9

lets calculate the Banzhaf power index for Voters A to C

A B = 52 + 39 ≥ 76

B C = 39 + 31 ≤ 76

A C = 52 + 31 ≥ 76

A B C = 52 + 39 + 31 ≥ 76

Lets consider critical

A B  : A is critical  because without A the sum < 76

B C :  B is not critical because without B the sum is still < 76

A C : C is critical because without C the sum < 76

A B C : A is critical as B + C < 76

           B is not critical as A + C ≥ 76

           C is not critical as A + B ≥ 76

Number of times critical : For A = 3, For B = 0 , For C = 1

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Answer:

question 10 is B

Step-by-step explanation:

It is false that the expressions 4x − 2(5x − 1) and 6x + 2 are equivalent expressions

The expression is given as:

4x − 2(5x − 1)

Open the bracket

4x − 2(5x − 1) = 4x − 10x + 2

Evaluate the like terms

4x − 2(5x − 1) = − 6x + 2

− 6x + 2 and 6x + 2 are not equal expressions

Hence, 4x − 2(5x − 1) and 6x + 2 are not equivalent expressions

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ2

Answer:

The correct answer is that x = 0.

Answer:

x=0

Step-by-step explanation:

6+x=6

x=6-6

x=0

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

Answer:

15

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

10x + 3 = 9 x -2

10•x + 3 = 9•x -2

Answer:

17(n+31)=300

Step-by-step explanation:

17 times the sum of a number, n and 31 is 17(n+31)

and then set that equal to 300

Answer:

52 miles per hour

Step-by-step explanation:

Given:

Distance driven = 364 miles

Total time taken = 7 hours

Required:

Average speed of Chad

SOLUTION:

Average speed is the number of miles covered per hour.

Thus:

Average speed = distance covered / time taken to cover the distance

Average speed = [tex] \frac{364}{7} = 52 mph [/tex].

Chad's average speed is 52 miles per hour.

Answer:

4 - 5y - 2y + 16

like terms

20 - 7y

Answer:

4-5y)-(2y-16)=0

Step-by-step explanation:We add all the numbers together, and all the variables

(-5y+4)-(2y-16)=0

We get rid of parentheses

-5y-2y+4+16=0

We add all the numbers together, and all the variables

-7y+20=0

We move all terms containing y to the left, all other terms to the right

-7y=-20

y=-20/-7

y=2+6/7

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]

Substitute in the values;

[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]

[tex]\frac{8-5}{3-2}[/tex]

simplify;

[tex]\frac{3}{1}[/tex]

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

Answer:

a) 0.0977

b) 0.3507

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

Mean = 1395 grams

Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

(a) What proportion of broilers weigh between 1160 and 1250 grams?

For x = 1160

z = 1160 - 1395/300

= -0.78333

Probability value from Z-Table:

P(x = 1160) = 0.21672

For x = 1250 grams

z = 1250 - 1395/300

z = -0.48333

Probability value from Z-Table:

P(x = 1250) = 0.31443

The proportion of broilers weigh between 1160 and 1250 grams is

0.31443 - 0.21672

= 0.09771

≈ 0.0977

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

For x = 1510

= z = 1510 - 1395/300

z = 0.38333

Probability value from Z-Table:

P(x<1510) = 0.64926

P(x>1510) = 1 - P(x<1510) = 0.35074

Approximately = 0.3507

(c) Is it unusual for a broiler to weigh more than 1610 grams?

For x = 1610

= z = 1610 - 1395/300

z = 0.71667

Probability value from Z-Table:

P(x<1610) = 0.76321

P(x>1610) = 1 - P(x<1610) = 0.23679

No it is not unusual for a broiler to weigh more than 1610 grams

Answer: cubic inches.

Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.

Answer:

Linear graph

y = 3x + 21

Step-by-step explanation:

Answer:

it's 2

Step-by-step explanation:

a= -3/4

b=0

c=2

Answer:

The correct answer is D.

Step-by-step explanation:

Answer:

a in table → b on number line

b in table → c on number line

c in table → a on number line

Step-by-step explanation:

Here, we see the points are square roots. A square root of a number is a value, that when multiplied by itself, gives the number. For example, 4 × 4 = 16, so the square root of 16 is 4.

We can apply this logic easily by simplifying the square root, or multiplying integers with each other (aka "squaring" the integers) and seeing which result is closest to the value inside the square root.

Simplifying the square root won't help here, if we don't know basic values such as √3 or √2. So, we can just multiply an integer with itself and see if that value is closer to the value inside the square root.

For point a, we see the number inside the root is 27. We can start multiplying:

25 is the closest value to 27 here. So, we know the point is somewhere around 5, and since 27 is slightly larger than 25, the point is slightly larger than 5. So, point a in the table is most likely point b on the number line.

For point b, we see the number inside the root is 32. We can start multiplying:

36 is the closest value to 32 here. So, we know the point is somewhere around 6, and since 32 is smaller than 36, the point is lesser than 6. So, point b in the table is most likely point c on the number line.

For point c, we see the number inside the root is 16. We can start multiplying:

16 is right on the dot! That means that the square root of 16 is 4, which leaves us with point a on the number line.

Answer:

12 Notebooks And 16 Erasers

Step-by-step explanation:

Let x represent the number of notebooks and y represent the number of erasers. (x+y=28) Then, input the cent numbers into the equation. (90x+45y=1800) The 1800 represents the amount of dollars spent. Then simplfy the equation, which gives you 12 notebooks and 16 erasers.

Answer:

Test statistic Z= 1.713

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population  μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

H₀:  x⁻ =  μ

Alternative Hypothesis :  x⁻ ≠  μ

Step(ii):-

Test statistic

                 [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                 [tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]

                Z =  1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000