Mathematics College

## Answers

**Answer 1**

**Answer:**

**There are 12 months per year so:**

**58000 - 12(3450) = $________ more**

**Just plug into calculator or otherwise**

**work the arithmetic.**

**Hope this helps.**

## Related Questions

Solve the inequality: c² < − 3c + 70

### Answers

Answer:

Answer is (-10,7) and inequality form: -10<c<7

Step-by-step explanation:

First factor the equation.

(c+7)(c-10)

Then find out which intervals make (c+7)(c-10)<0.

If you double a number and then subtract eight the result is 18. Which equation below could be used to represent the situation?

### Answers

**Answer: **2x - 8= 18

2x - 8=18

2x=26

x= 13

I need help on question 1-6

Will be mark brainlist

### Answers

**Answer:Look**

**Step-by-step explanation: Look and solve its not that hard**

What is the domain and range for this problem?

### Answers

**Answer:**

2-18

2,5

7,18

**Step-by-step explanation:**

A particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint. To make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint. Did Shannon mix the correct shade? Explain.

### Answers

We get that Shannon did not mix the correct shade as the **ratios **are not equal.

We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.

This means that the **ratio **of the paints in that shade is

Red : Blue = 5 : 7.

Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.

Here the **ratio **becomes:

Red : Blue = 8 : 12

= 4 : 6

= 2 : 3

Now, since both the **ratios **are not equal, he did not mix the correct shade.

Therefore, we get that Shannon did not mix the correct shade as the **ratios **are not equal.

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sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?

### Answers

The **total amount** of **money** Sam deposited is **$1,031.72.**

Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.

We need to find out what was the amount Sam deposited.

What is the sale?

Add the **rate** to the **purchase price** to determine the **discount**. **Subtract** the **discount** from the **original price** to arrive at the **sale price**.

The **discounted price **at which **products** or services are being sold is known as a **sale price**.

Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04

=560+180+160+20+4.5+22+18.18+67.04

=1,031.72

Therefore, the **total amount** of **money** Sam deposited is **$1,031.72.**

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Have this done correctly for brainliest!

### Answers

**Answer:**

expression

**Step-by-step explanation:**

It's an expression. The expression happens to be a quadratic polynomial.

An equation must have an equal sign.

An equation is a statement that a number or expression equals a number or expression.

Here, there is no equal sign. There is only an expression.

**Answer:**

This is an expression

8x2+7x-15

What is the length of segment FE?

What is the length of segment FG?

What is the length of segment FH?

PLEASE ANSWER FAST! I WILL GIVE BRAINLIEST!

### Answers

Check out the attached photo

Find the radius of a circle with the arc length of 69 cm and a central angle measure of 81°

### Answers

convert 81°into radian

81°=(81×pie/180)=9pie/20 pie=22/7

now,

radius=arc length/θ in radian

then 69/(9pie/20)

=48.79

Which is the order from least to greatest of the following: seventh fifths, 0.4, one-eighth, seventy-five percent?

A. 0.4, seventy-five percent, seven-fifths, one eighth

B. one-eighth, 0.4, seventy-five percent, seven fifths

C. 0.4, one-eighth, seventy-five percent, seven fifths

D. seventy five percent, one-eighth, 0.4, seven fifths

BTW this is FLVS

### Answers

The **order **from least to greatest of the **numbers **will be B. one eighth, 0.4, seventy five percent, seven **fifths**.

How to oder the numbers?

It should be noted that 7/5 = 1.4

It should be noted that** 1/8** = 0.125

It should be noted that 75% = 0.75

Therefore, the ordering of the **numbers **from least to greatest will be one eighth, 0.4, seventy five percent, **seven fifths**.

In conclusion, the correct option is B.

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**Answer:**

b

**Step-by-step explanation:**

pls help asap I’ll give brainliest immediately.. plsss..

### Answers

**Answer:**

You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.

**Step-by-step explanation:**

Explanation:

In a quadratic function of form y = a

(

x

−

p

)

2

+ q, the axis of symmetry is found at x = p. As a result, in y = -4

(

x

−

8

)

2

+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:

graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}

AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3X^2 + 1. Please show your work with the method shown below:

f'(x)= lim (h->0) [f(x+h) - f(x)] /h

### Answers

**Answer: **f'(x)=6x

**Step-by-step explanation:**

f'(x)= lim (h->0) [f(x+h) - f(x)] /h

f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h

f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h

f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h

f'(x)= lim (h->0) [6hx+3h^2] /h

f'(x)= lim (h->0) [6x+3h]

f'(x)= [6x+3(0)]

**f'(x)=6x**

Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:

Number of batches 222 333 444

Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2

Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.

How many batches can Chika make?

### Answers

**Proportionately**, the **number** of batches that Chika can make with 2.25kg of sugar is 7.5.

What is proportion?

**Proportion** is the **ratio** of a variable in the whole.

**Proportion** shows how much quantity is contained in a variable.

**Proportions** are represented in decimals, percentages, and fractions.

Data and Calculations:

Number of Batches 2 3 4

Sugar (kg) 0.6 0.9 1.2

Proportion of sugar

per batch 0.3 0.3 0.3

Chika's sugar ingredient = 2.25 kg

The **number** of batches Chika can make = 7.5 (2.25/0.3)

Thus, the **number** of batches that Chika can make with 2.25kg of sugar is 7.5.

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Lets find how much sugar makes 1 batch. That will help you write an equation you can use to find how many batches you can make with 2.25 kg of sugar. So each batch uses 0.3 kg of sugar so you can type/write an equation to find the amount of sugar in any batches

[tex]s=0.3b[tex]

you could rewrite so the batch is by itself

b= s/0.3

Let's find the value of b when s= 2.25

b= s/0.3 (like before)

b =2.25/0.3

7. Find the length of the rectangle below:

Area= 1445 in²

length = ?

17 in.

### Answers

**Answer: **85 in

**Step-by-step explanation:**

A=Area of rectangle. L=length of rectangle. W=width of rectangle

A=L*W

1445=L*17

1445/17=L*17/17

**L=85 in**

A silversmith combined pure silver that cost $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing

$28.87.per.ounce?

### Answers

32 **ounces** of pure silver were used to make the silver alloy.

Here, we are given that a silversmith combines pure silver that costs $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce.

Let the** amount** of pure silver = x oz

**Cost **of pure silver = $34.48 per ounce

Thus, total cost of pure silver = $34.48x

Similarly, amount of silver alloy = 51 oz

Cost of silver alloy = $25.35 per ounce

Thus, total cost of silver alloy = 25.35 x 51 = $1292.85

Now, the total **weight** of the new silver allow formed = (x + 51) Oz

and the cost of this new allow = $28.87 per ounce

Thus, the total weight of the new alloy = $28.87 (x + 51)

Hence, we can form the following** equation**-

$34.48x + $1292.85 = $28.87 (x + 51)

34.48x + 1292.85 = 28.87x + 1472.37

34.48x - 28.87x = 1472.37- 1292.85

5.61x = 179.52

x = 179.52/ 5.61

x= 32

Hence, 32 **ounces** of pure silver were used to make the silver alloy.

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2) A Zookeeper needs 876 kilograms of food to feed the animals. She has 287 kilograms of food now. How much more food does she need to buy?

### Answers

Answer:

She will need to buy 589 kilograms.

Step-by-step explanation:

Which expression has a greater value?

(2,040329) x 5

2,040329

### Answers

**Answer:**

2,040329×5

**Step-by-step explanation:**

you are multiplying 5 more to the number so it will be 5 times larger than the other number

**Answer: (2,040329) x 5 =10.201645**

**Step-by-step explanation:**

they are both equal too so its neither is greater

What is the decimal rule for:

1.2 x (-5) = ?

Cause I got -60 but the answer was -6 and I’m confused. Explanation?

### Answers

**Answer:**

-6

**Step-by-step explanation:**

1.2 = 12/10

so

12/10 x (-5) = -60/10 = -6

Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?

### Answers

The **coordinates **of our position after moving up and down will be (0, -7)

We are given a **coordinate **plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the **coordinates **of our position after moving up and down will be (0, -7)

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Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Round the answer to the nearest tenth

### Answers

Answer:

29.16 grams

Step-by-step explanation:

To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.

Kadeem has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

• He buys a new bicycle for $470.65.

• He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.

• He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.

Write and solve an inequality which can be used to determine x, the number of outfits Kadeem can purchase while staying within his budget.

### Answers

Total **money** with **Kadeem** = $680

Money **spent** by him on a **new bicycle** = $470.65

Money** left **with **him** after buying a** new bicycle** = 680 - 470.65 = 209.35

Money **spent** by **him** on** 2 bicycle reflectors** = 7.87*2 = $15.74

Money **left** with **him** after buying **reflectors** = 209.35 - 15.74 = $193.61

Money **spent** by him on **bike gloves** = $15.18

**Money** left with him after **buying** biking **outfits**: 193.61 - 15.18 = $178.43

**Cost** of each **outfit **= $50.98

Let the **number** of **outfits Kadeem **can buy be **x**, therefore **formulating** the equation we get:

50.98x< = 178.43

x< = 3.5

So, **Kadeem** can buy 3 **outfits** while staying within **budget**

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How do I find the area of a rectangle with three different side lengths.

### Answers

**Answer:**

See explanation

**Step-by-step explanation:**

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

Alan found 444 marbles to add to the 555 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

Choose 1 answer:

Choose 1 answer:

### Answers

The **numerical expression** that shows the amount of marbles that Alan has now is; 3(5 + 4)

How to solve algebra word problems?

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after **addition**, **total number** of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the **numerical expression** that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

where RS=8y+5, ST=3y+4, and RT=97.

a. What is the value of y?

b. Find RS and ST

### Answers

The answer of **part a** is **y = 8**

The answer of **part b **is **RS = 69, ST = 28**

**Step-by-step explanation:**

**a. **Since RT = RS + RT, subsitute values of RS and RT in the equation

97 = (8y + 5) + (3y + 4)

97 = 11y + 9

97 - 9 = 11y

88 = 11y

y = 8

**b. **Subsitute the value of y in RS and ST just like done in part a

Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at

least $8.

Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra

buys.

Which inequality represents this situation?

### Answers

**Answer:**

(D)

**Step-by-step explanation:**

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

A cookie factory used 461.01 kilograms of chocolate chips to make 97 batches of cookies. To the nearest hundredth of a kilogram, how many kilograms of chocolate chips did the factory put in each batch?

### Answers

**Answer:**

we will need to to divide the given amounts of kilograms to the amount of batches of cookies made

461.01÷97

=4.75

(this is rounded off)

Consider the following sequence. -5,5,15,25,35. Write an explicit formula for the sequence.

### Answers

This **sequence's** explicit formula is [tex]a_n=-5+(n-1)*10[/tex]

What is a **sequence?**

A **sequence** is indeed an acknowledged group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has individuals. The length of the series is the number of components (potentially infinite).The convergence features of **sequences** can be used to analyze functions, spaces, as well as other mathematical structures in a variety of mathematical fields. In particular, **sequences** serve as the foundation for series, which are crucial to analysis and differential equations.

The common distinction is equal to:

10

The **sequence's** total is equal to:

40

This **sequence's** explicit formula is:

[tex]a_n=-5+(n-1)*10[/tex]

This** sequence's** recursive formula is:

[tex]a_n=a_((n-1))+10[/tex]

Next terms:

-5,5,15,25,35,45,55,65,75,85,95...

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I NEED HELP ASAP WITH THESE QUESTIONS

1. The sum of twice a number and 5

2. Twice the sum of a number and 5

3. The square of five more than a number

### Answers

**Answer:1.2x+5 2.2(x+5) 3.(x+5)^2 **

**Step-by-step explanation:**

Translate this phrase into an algebraic expression.

67 decreased by twice a number

Use the variable n to represent the unknown number.

### Answers

twice a number(x)= 2x

decreased = -

67-2x is the expression :)

**Answer:**

2n-67

**Step-by-step explanation:**

Twice a number means 'multiply by 2' so we can write 2 x n. We can also write this in a simpler form- 2n

'67 decreased' means minus 67 off your answer so therefore the answer must be:

2n-67

Love answering your questions by the way :)

Solve the equation and determine the solution(s) or any extraneous solution.

### Answers

**Answer:**

Solution: x = 9 Extraneous solution: x = 1

**Step-by-step explanation:**

Given equation:

[tex]\sqrt{4x}=x-3[/tex]

Square both sides:

[tex]\implies \left(\sqrt{4x}\right)^2=\left(x-3\right)^2[/tex]

[tex]\implies 4x=x^2-6x+9[/tex]

Subtract 4x from both sides:

[tex]\implies 4x-4x=x^2-6x+9-4x[/tex]

[tex]\implies 0=x^2-10x+9[/tex]

[tex]\implies x^2-10x+9=0[/tex]

Split the term in x:

[tex]\implies x^2-x-9x+9=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-1)-9(x-1)=0[/tex]

Factor out the common term (x - 1):

[tex]\implies (x-9)(x-1)=0[/tex]

Apply the zero-product property:

[tex](x-9)=0 \implies x = 9[/tex]

[tex](x-1)=0 \implies x=1[/tex]

Substitute the found values of x into the original equation to verify the solutions:

[tex]\begin{aligned}x=9 \implies \sqrt{4 \cdot 9} & = 9-3\\\sqrt{36} & = 6\\6 & = 6\end{aligned}[/tex]

[tex]\begin{aligned}x=1 \implies \sqrt{4 \cdot 1} & = 1-3\\\sqrt{4} & = -2\\ 2 & = -2\end{aligned}[/tex]

Therefore, the only valid solution is x = 9:

Solution: x = 9Extraneous solution: x = 1

**Extraneous solution**: A solution from the process of solving the equation that is not a valid solution to the original equation.