Higher Order Thinking
Mrs. Dryson
divided her collection of 52 glass bears
into equal groups. She had 1 bear
left over. How many groups did
Mrs. Dryson make? How many bears
are in each group?

Answer:

y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

Step-by-step explanation:

Solve for y:

y^2 + y - 7 = 0

Add 7 to both sides:

y^2 + y = 7

Add 1/4 to both sides:

y^2 + y + 1/4 = 29/4

Write the left hand side as a square:

(y + 1/2)^2 = 29/4

Take the square root of both sides:

y + 1/2 = sqrt(29)/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

y = sqrt(29)/2 - 1/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

Answer: y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

Answer:

y=sqrt(29)/2-1/2, -sqrt(29)/2-1/2

Step-by-step explanation:

y^2+y-7=0

completing the square,

(b/2)^2=(1/2)^2=1/4

(y+1/2)^2=7+1/4

(y+1/2)^2=28/4+1/4

(y+1/2)^2=29/4

y+1/2=sqrt(29/4)

y=sqrt(29/4)-1/2

y=sqrt(29)/2-1/2

y=-sqrt(29)/2-1/2

The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.

Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:

Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).

We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':

Subtracting equation 4 from equation 3:

24y = 366

Simplifying:

y = 15.25

Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':

Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.

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Answer:

80 points

Step-by-step explanation:

28+35=63.

63+17=80.

Hope this is addition.

That simple

By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.

To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.

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[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]

[tex] {x}^{ - 1} = \frac{1}{x} [/tex]

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Answer:

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]

Answer:

6.50x + 5 = 21.25 is the answer

Step-by-step explanation:

x=2.5

The inequality that represents Tricia's goal to earn at least $21.25 through her $5 allowance and $6.50 per hour from babysitting is E = 5 + 6.50h ≥ 21.25, where h represents the number of hours she babysits.

The student's question asks for an inequality to represent the situation where Tricia receives a $5 weekly allowance and earns $6.50 for each hour she babysits. The goal is to earn at least $21.25 to buy a present.

Let's denote the number of hours Tricia babysits as h. The inequality representing her total earnings E from both her allowance and babysitting will be:

E = 5 + 6.50h ≥ 21.25

This inequality implies that the sum of Tricia's weekly allowance ($5) and her babysitting earnings ($6.50 per hour multiplied by the number of hours h) should be at least $21.25.

Answer:

C) -2(9+32n)

Step-by-step explanation:

(-18)-64n=-18-64n

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

A) -2(9-32n)=-18+64n

B) 2(9-32n)=18-64n

C) -2(9+32n)=-18-64n

D) 2(9+32n)=18+64n

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

The answer is C.

Science Quiz: 42.8571429%

Math Quiz: 39.1304348%

Take the amount of answers correct out of the total, divide it, and then multiply by 100. In this case, Science has a higher score.

The percentage of correct answers for the science quiz is 57.14%, while for the math quiz it's 60.87%. Therefore, the student had a higher percentage of correct answers on the math quiz.

You determine the percentage of correct answers on each quiz by dividing the number of correct answers by the total number of questions on each quiz respectively.

For the science quiz, you answered 4 out of 7 questions correctly since you missed 3 out of 7. The percentage of correct answers for the science quiz is thus (4/7)*100 = 57.14%.

For the math quiz, you answered 14 out of 23 questions correctly since you missed 9 out of 23. The percentage of correct answers for the math quiz is thus (14/23)*100 = 60.87%.

Therefore, you had a higher percentage of correct answers on the math quiz than on the science quiz.

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Answer:

7x - 8y = 37

Explanation:

y+2 = ⅞(x-3) (distribute ⅞ -- x times 7/8, -3 times 7/8)

y+2 = ⅞x - 21/8 (subtract ⅞x from both sides)

y+2-⅞x = -21/8 (subtract 2 from both sides)

y-⅞x = -37/8 <--- result of -21/8 - 2

Multiply both sides by 8 to get ride of fractions

8y - 7x = -37 (rearrange)

-7x + 8y = -37

It's better to have a positive coefficient for x if you can.  So multiply both sides by -1.  That just means changing the sign of every term on both sides, you get

7x - 8y = 37

Answer:

10

Step-by-step explanation:

Mr morton initially had 60 bird houses.

He sold 10 to one store.

So left number of birdhouses = 60 - 10 = 50.

He sold them equally to 5 stores,

So, each of them will get [tex]\frac{50}{5}[/tex] = 10 bird houses.

So,

He sold 10 birdhouses to each of the other 5 stores.

Answer:

The distance Shawn went is 40.

Step-by-step explanation:

Given:

N= 5 and M =6

Mountain hike = N = 5

Back down the other side = 2N+1 = 2×5 + 1 = 10 + 1 =11

From Mountain back to truck = 4M = 4×6 = 24

We need to find the total distance he went and can be calculate by adding Mountain hike with back down the other side and then from Mountain back to truck.

Total distance Shawn went = Mountain hike+ Back down the other side + From Mountain back to truck = 5 + 11 + 24 = 40

Hence Shawn went the distance of 40.

Answer:

Try to include yes 0.30

Step-by-step explanation:

That is because we have to check the top and the bottom the add and multiply

Answer:

a.) $0.30 cents is the answer

Step-by-step explanation:

.75 • .4

Answer:

The answer is 2000 g

Step-by-step explanation:

We use the following equivalence:

1 kg-------1000g

2kg----- X = (2kgx1000g)/1kg= 2000g

Answer:

300

Step-by-step explanation:

9 rounds it up

Answer:

the small cup of root beer can hold 8 fl. oz

Step-by-step explanation:

52-36=16

16/2=8

Each small cup holds 8 fl. oz. Together they hold 16 fl. oz. Plus 36 fl. oz. Which equals 52 fl. oz.

Answer:

my 12 inch pito that pito good

Answer:

i am smort

Step-by-step explanation:

q

To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.

To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.

For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.

For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.

Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.

Answer:

[tex]69,658\ employees[/tex]

Step-by-step explanation:

we know that

16,300 employees represent 23.4%

so

using proportion

Find out how many employees represent 100% (total employees of the company)

Let

x -----> total employees of the company

[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]

Answer:

x > 68 and x < 84

Step-by-step explanation:

Answer:

Ultraviolet (UV) radiation.

Step-by-step explanation:

Mutagen is part of genetics, it is chemical or physical agent which are present in atmosphere and causes changes or mutation in the genetic materials i.e. in DNA (these changes can be permanent as well). Example of mutagen are radioactive substances, ultraviolet radiation, etc.

UV radiation is an electromagnetic radiation which is present in sunlight. It is a strong mutagen which is when absorbed by DNA can cause extreme damage, for example, uncontrolled division of skin cell can cause skin cancer, that's the reason why UV radiation is the most common mutagen to which we are exposed to when we are outside in the sunlight.

Step-by-step explanation:

Arthur got because a pizza is shared by 4 people. however only

2/3 of the pizza is there so it is divided by the four people.

The correct option is b.

The correct problem that can be solved by calculating 4 divided by 2/3 is determining the number of 2/3 cup servings of soup in 4 cups. By understanding how division of fractions work, we can see that there are 6 such servings in 4 cups.

The subject matter of the question is related to basic division and fractions. Specifically, it's asking about when we would need to find the result of 4 divided by 2/3. Given the answer choices, option B is the correct one. The question here is not about sharing a pizza or calculating the quantity of apples for pies, or the amount of sandwich eaten. It's rather about how many 2/3 cup servings fit within 4 cups of soup. When we do the division 4 ÷ 2/3, we're essentially figuring out how many 2/3s there are in 4. This concept can be a bit tricky because dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 2/3 is 3/2, so 4 × 3/2 = 6. Hence, there are 6 servings of 2/3 cup soup in 4 cups.

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Answer:

5y² + 5y - 11

Step-by-step explanation:

The length of a wooden beam is as a function of y

L(y) = 6y² +  5y + 1

and a piece of length  y²  - 12 is cut off the remaining piece is

6y² +  5y + 1 - y²  - 12  =  5y² + 5y - 11

To find the remaining length of the wooden beam, subtract the length of the cut-off piece from the original polynomial. Simplify the expression to get the final answer: 5y² + 5y + 13 meters. This represents the remaining length of the beam.

Finding the Remaining Length of the Wooden Beam:

We start with the original length of the wooden beam given by the polynomial 6y² + 5y + 1 meters.

We need to subtract the length of the piece that was cut off, which is given by the polynomial y² - 12 meters.

First, write down the original length of the beam:

6y² + 5y + 1

Next, identify the length of the piece cut off:

y² - 12

Subtract the second polynomial from the first:

(6y² + 5y + 1) - (y² - 12)

Simplify the expression by combining like terms:

6y² - y² = 5y²

5y remains unchanged.

1 - (-12) = 1 + 12 = 13

So, the remaining length of the beam is:

5y² + 5y + 13

The remaining length of the wooden beam, expressed as a polynomial in y, is 5y² + 5y + 13 meters.

To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.

The area of a rectangle is calculated using the formula:

Area = Length × Width

Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:

Width = Area ÷ Length

Substitute the given values into the formula:

Width = 28 square meters ÷ 7 meters = 4 meters

Therefore, the width of the rectangle is 4 meters.

Answer:

Step-by-step explanation:

x - 12 = -4            add 12 to both sides

x - 12 + 12 = -4 + 12

x = 8

Answer:

A I think

Step-by-step explanation:

49.1+ 90

Answer:

C

Step-by-step explanation:

Find the average of the two test scores.

(49.1 + 90)/2

139.1/2

69.55 ⇒ which is grade C

Final answer:

To factor −1/2 out of −1/2x+6, we identify the common factor, divide each term by −1/2, and write the expression as −1/2 times the simplified expression. The result is −1/2(x − 12).

Explanation:

To factor −1/2 out of −1/2x+6, we can think of pulling out the −1/2 as a common factor from both terms in the expression. Here's a step-by-step breakdown:

Applying these steps, we get:

So, −1/2x+6 factored with −1/2 taken out is −1/2(x − 12).

Answer:

110889

Step-by-step explanation:

Answer:

110,889 is the answer dude..

Answer:

12.1583333333 miles/hr.

Step-by-step explanation:

24 * 5 = 120  hrs

1459/120 = 12.1583333333

Answer:

12.158 miles/hour

Step-by-step explanation:

[tex]\frac{1459 miles}{5 days} = 291.8 miles/day\\\frac{291.8 miles}{1 day} x \frac{1 day}{24 hours} = 12.158 miles/hour[/tex]

Answer:

on the top is 124 - 115 whille in the bottom is 115

Step-by-step explanation:

To calculate the percent change in the number of employees, use the formula (Change in Quantity / Original Quantity) × 100. The original number of employees is 115, and it increased to 124, resulting in a change of 9. The percent change is approximately 7.83%.

To find the percent change in the number of employees, you can use the following formula:

Percent Change (p) = (Change in Quantity / Original Quantity) × 100

In this case, the Original Quantity is the number of employees at the start of the year (115) and the Change in Quantity is the difference between the number at the end of the year (124) and the number at the start of the year (115).

So, we calculate Change in Quantity as 124 - 115 = 9.

Now, using the formula:

p = (9 / 115) × 100

Calculating this gives us the percentage change:

p = (9 / 115) × 100 ≈ 7.83%

The percent change in the number of employees is approximately 7.83%.

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Answer:

x=45/2

Step-by-step explanation:

4/9=10/x

cross product

9*10=4*x

90=4x

x=90/4

simplify

x=45/2