Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised. (2 points)

Answer:

its step 3

Step-by-step explanation:

i just took the test.

The value of e is -2.

To solve the equation 9e - 7 = 7e - 11, follow these steps:

Move all terms involving e to one side of the equation:

9e - 7e = -11 + 7

Combine like terms:

2e = -4

Divide both sides by 2 to solve for e:

e = -2

Thus, the value of e is -2.

Answer:

The answer is mixture.

Step-by-step explanation:

A mixture is a material that consists of two or more different physically combined substances; in this scenario the things are paper clips and sand.

Here, the student uses a magnet to separate the metal paper clips from the sand. So, here sand and paper clips together are a mixture.

The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.

The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.

To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:

y + 7 = (9/10)x + (9/10)x3

Step 1: Multiply 9/10 by each term in the parentheses.

y + 7 = (9/10)x + 27/10

Step 2: Subtract 7 from both sides to isolate the y term.

y = (9/10)x + 27/10 - 70/10

y = (9/10)x - 43/10

Step 3: To get rid of the fraction, multiply the entire equation by 10.

10y = 9x - 43

Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.

-9x + 10y = -43

Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.

Answer: False .

Step-by-step explanation:

False, it is not an advantage of credit-card buying to get the monthly list of expenditures.

As if we use credit card for every purchase, our liability would get increase, and to burden to pay off with interest will be increased as well.

So, it will be disadvantage instead of advantage to use credit card for every buying.

Answer:

72

Step-by-step explanation:

Lets say total number of Outdoor club member = [tex]x[/tex]

Members going for hiking = [tex]\frac{x}{2}[/tex]

Members going for bike riding = [tex]\frac{x}{4}[/tex]

Members going for rock climbing = [tex]\frac{x}{8}[/tex]

Member going for walking their dogs = 9

Thus,

[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]

[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]

[tex]\frac{8x-4x-2x-x}{8}=9[/tex]

[tex]\frac{x}{8}=9[/tex]

[tex]x=72[/tex]

72 Outdoor Club members are doing an activity on Saturday.

Answer:

[tex]49a^2b^6[/tex]

Step-by-step explanation:

The given expression is:

[tex](7ab^3)^2[/tex]

Now, squaring the above expression, we get

=[tex](7)^2(a)^2(b^3)^2[/tex]

=[tex]49(a^2b^6)[/tex]

=[tex]49a^2b^6[/tex]

which is the required simplification of the given expression.

Thus, the correct simplification of the expression [tex](7ab^3)^2[/tex] is [tex]49a^2b^6[/tex].

Answer:

1.875 inches

Step-by-step explanation:

We are given that the direction on a seed packet day to plant the seeds apart=[tex]1\frac{7}{8}[/tex] inches

We have to find the decimal equivalent to given fraction.

In order to find the value of given fraction  in decimal we will convert mixed fraction into simple fraction.

[tex]1\frac{7}{8}\; inches=\frac{15}{8}[/tex] inches

Now, divide 15 by 8

Then, we get [tex]\frac{15}{8}=1.875[/tex]

Therefore, the value of given fraction =1.875 inches

Answer:

∠3 and ∠4 are congruent because they are a pair of alternate exterior angles.

Step-by-step explanation:

Answer: Choice number 1

Step-by-step explanation:

The first choice because they are on opposite sides of the transversal Therefore they are alternate exterior angles.

In the simple interest formula a=p(1+rt), r can be solved by rearranging the formula to r = [a/p - 1] / t.

The question involves the formula a=p(1+rt) which you would normally see in simple interest calculations in mathematics. Your task is to solve for r (the rate).

To do that, you could rearrange the formula: r = [a/p - 1] / t

So, to calculate r, you would subtract one from the quotient of a and p, then divide that result by t (the time).

https://brainly.com/question/32610670

#SPJ3

Answer:

a. Maximum 3 baskets

b. Number of oranges = 6

c. Number of bananas = 4

d. Number of pears = 9

Step-by-step explanation:

Peter has 18 oranges, 27 pears and 12 bananas.

He wants to prepare the fruit baskets with the same number of each fruit in each basket.

a). Greatest number of fruit baskets can be prepared by calculating highest common factor.

Factors of 18 = 2×3×3

Factors of 27 = 3×3×3

Factors of 12 = 2×2×3

Now highest common factor of 18, 12 and 27 = 3

Therefore, maximum 3 baskets can be prepared.

b. Number of oranges in each basket = [tex]\frac{18}{3}=6[/tex]

c. Number of bananas in each basket = [tex]\frac{12}{3}=4[/tex]

d. Pears in each basket = [tex]\frac{27}{3}=9[/tex]

Final answer:

To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.

Explanation:

To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.

Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).

Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.

Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.

Therefore, you would pay $7.80 for 65 almonds.

Danielle's expression doesn't provide the correct time frame for saving unless $385 is her savings rate. She needs to divide the cost of the television by her regular savings amount to find the needed time to save.

Danielle is trying to figure out how long it will take to save enough money to buy a flat screen television that costs $510. However, her expression 510 ÷ (35×11) will not accurately give her the information she needs unless $385 (which is 35×11) represents her monthly savings or some other specific saving interval. To determine how long it will take to save the money, Danielle would need to know her savings rate per week, month, or another interval of time and then divide the total cost of the television by that rate.

For example, if Danielle can save $50 each month, the correct expression would be $510 ÷ $50/month. This would yield 10.2 months, assuming she can save that amount consistently every month without any additional costs or interest. Budgeting and cutting unnecessary expenses can also help Danielle accelerate her savings plan. If she finds ways to increase her savings rate by reducing discretionary spending, she would be able to purchase her desire faster.

Answer:

9c>75+0.5c Is your answer

Step-by-step explanation:

I took the test :3

Good luck