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3 years ago

5

Jackie bought 20 lb. of dog food. The dog food is packaged in 2, 4, and 8 lb. bags. How many bags of each size would Jackie have

bought?

1 answer:

Len [333]3 years ago

8 0

Answer: 10 bags that weigh 2 lb.

5 bags that weigh 4 lb.

2.5 bags that weigh 8 lb.

Hope this helps.

Step-by-step explanation:

You might be interested in

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Convert 175% to a fraction.

svetoff [14.1K]

Answer:

it will be 175 / 100 = 7 / 4 okay

6 0

2 years ago

What value added to x^2+2x would complete the square?

svetlana [45]

D is the only one which would make sense :)

7 0

3 years ago

Find the lateral area for the pyramid with the equilateral base.

Dafna11 [192]

Answer:

Option A is the correct answer.

Explanation:

The given pyramid has 3 lateral triangular side as shown below.

Base of triangle = 12 unit

We need to find perpendicular.

By Pythagoras theorem we have

Perpendicular² = 10²-6²

Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

= 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²

Option A is the correct answer.

7 0

3 years ago

Read 2 more answers

In a teacher's math course, a linear regression line was calculated to predict

Marat540 [252]

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.

Reasons:

The given linear regression line equation is; $\hat y$ = 25.5 + 0.82· $\mathbf{\hat x}$

Where;

$\hat y$ = Final exam score;

$\hat x$ = The midterm score;

AJ score in the first test, $\hat x$ = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, $\hat y$ = 25.5 + 0.82 × 90 = 99.3

The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

<u>E. None of these</u>

Learn more about regression line equation here:

brainly.com/question/9339658

brainly.com/question/7361586

brainly.com/question/14747095

6 0

2 years ago