Simplify the expression. (Section 3.1) 46. 4x + 3 - 9x

Answer:

Bob at the store

Step-by-step explanation:

Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.

Answer:

The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.

Step-by-step explanation:

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.

Find:

the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time

Step 1 of 1

The kangaroo gains 5 feet on every leap.

The kangaroo must gain 150 feet total,

so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.

Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo,

the rabbit makes a 7 -foot leap.

Let n be the number of leaps.

According to the question:

We have the equation.

To solve for x;

12x = 7x + 150

12x - 7x = 150

5x = 150

x = 150/5

x = 30

Therefore, the Kangaroo needs 30 leaps to catch the rabbit.

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Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

Answer:

The percentage of yellow beans in the bowl of 84 is approximately 31%.

Step-by-step explanation:

         Step 1: Finding the number of yellows beans in each bags

         Step 2: Finding the total percentage of yellow beans

Step 1 of 2

We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.

We have to find the number of yellow beans in each bag.

[tex]$=\frac{50}{100} \times 26$$[/tex]

The number of yellow beans in first bag

[tex]$$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$$[/tex]

The number of yellow beans in second bag

[tex]$$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$$[/tex]

The number of yellow beans in third bag

Step 2 of 2

From the first step we got the number of yellow beans in each bags.

The total number of yellow beans in the bowl =13+7+6

The total number of beans in the bowl

[tex]$$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$$[/tex]

The percentage of yellow bean in the bowl

[tex]$$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$$[/tex]

Answer:

a+3b^2

Step-by-step explanation:

Answer:

84 ounces

Step-by-step explanation:

Total pounds of popcorn bought = 64 pounds

1/4th kept for family ==> 1/4 * 64 = 16 lbs

Remainder = 64-16 = 48 lbs

1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club

Remainder left over = 48-6 = 42 lbs

Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces

Since there are 16 ounces in a pound

From the given information each friend receives 84 ounces of popcorn.

Let's solve the problem using thee concept of Fractions

1. Miriam bought 64 pounds of popcorn.

2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is [tex]\(64 \times \frac{3}{4}\)[/tex].

Now, let's calculate the popcorn remaining after Miriam keeps some for her family:

[tex]\(64 \times \frac{3}{4} = 48\)[/tex] pounds.

Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with [tex]\(48 \times \frac{7}{8}\)[/tex] pounds.

Now, let's calculate the popcorn remaining after Miriam gives some to her club:

[tex]\(48 \times \frac{7}{8} = 42\)[/tex] pounds.

Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:

Amount each friend gets =[tex]\(\frac{42}{8}\)[/tex] pounds.

The problem asks for the answer in ounces, not pounds.

To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:

Amount each friend gets = [tex]\(\frac{42}{8} \times 16\)[/tex] ounces.

Amount each friend gets = [tex]\(84\)[/tex] ounces.

So, each friend will get 84 ounces of popcorn.

In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.

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Answer:

49

Step-by-step explanation:

step 1: Add the ratios 2:7 which is 2+7=9

step 2: divide the bigger ratio (7) by the total calculated in step 1 (9) and multiply by the total number given (63)....

step 3: we have 7/9×63 which is 49

therefore the bigger number is 49

Answer: A

Step-by-step explanation:

A. yes because -52 and -32 are separated by a distance of 20 units

B. no because -3.4 and 2.2 are not separated by more than 5 units

C. no because -4.2 and 1.3 are not separated by more than 5 units

D. no becasue 5 and 1 are not separated by more than 5 units

Answer:

A, B, C

Step-by-step explanation:

A coordinate is written as (x, y) where:

For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5.  To find the difference between two values, subtract the smaller value from the larger value.

A.  (-1, -52) and (-1, -32)

Difference in y-values:  (-32) - (-52) = 20

B.  (1.8, -3.4) and (1.8, 2.2)

Difference in y-values:  (2.2) - (-3.4) = 5.6

C.  (-3.5, -4.2) and (-3.5, 1.3)

Difference in y-values:  (1.3) - (-4.2) = 5.5

D.  (4, 5) and (4, 1)

Difference in y-values: 5 - 1 = 4

Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.

Answer: I would say A

Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge)  but maybe try adding and doing division? I'm not sure

Answer:

Given:

Jason can type at a rate of 40 words per minute.

Find:

The time taken for him to type a 2000 words essay

Step-by-step explanation:

Using the Conversion factor.

Jason's typing essentially converts "minutes" into "words" and vice versa, so we can use a conversion factor.

We need to arrange the data so that the "words" units cancel and we are left with "minutes" units:

time = 2000 words * 1 minutes/40 words

2000/40 minutes = 50 minutes

The time taken for him to type a 2000 words essay is 50 minutes.

Answer:

2/3 or 66%

Step-by-step explanation:

If you divide 12 into 3 groups you get 4. 4 + 4 = 8 therefore 8/12 = 66%

Answer:

1. 72.33.24. none5.none6.97. 08. 4

Step-by-step explanation:

Answer:

The total percent decrease is [tex]$a+b-\frac{a b}{100}$[/tex]

Step-by-step explanation:

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

[tex]$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$[/tex]

Step 2 of 2

The percentage difference between the two percentages is,

[tex]$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$[/tex]

Since 100 is the total percent [tex]$a+b-\frac{a b}{100}$[/tex] is the percentage decrease.

Answer:

the answer is 1/2

Step-by-step explanation:

-(-D) = -(-1/2)

2 negatives make a positive so it would be 1/2 or in other cases, 0.5

Answer:

For the first problem, it would be 2.25 grams.

For the second problem, it would be 10.45 pounds.

For the third problem, it would be 13.3735 more grams of flour

For the fourth problem it would be 6.25 inches long.

Step-by-step explanation:

1st problem:

3 - 0.75 = 2.25

2nd problem:

5.75 / .55 = 10.45454545 (so if we simplified it, then it would be 10.45)

3rd problem:

15.285 * 7/8 = 13.3735

4th problem:

31.25 / 5 = 6.25

I see that someone has already answered 1-4 so i will answer 5

so for 2 gallons it is 35.75 so to find out the amount for 4 gallons you would add 35.75+35.75 to get your answer of 71.5

hope this helped :>

Answer:

4

Step-by-step explanation:

3+(-2) is the same as 3-2 which is 1. and since with multiple exponents you work from the top you have 4 to the power of 1^4. 1^4 is 1, so it's 4^1, which is 4.

Answer:

$66

Step-by-step explanation:

25% of 80 = 20

80 - 20 = 60

10% of 60 = 6

60 + 6 = 66

Answer:

3.14159

Step-by-step explanation:

Answer:

124/67 and 1/3

Step-by-step explanation:

The second ratio is 1.5/4.5, which readily reduces to 1/3.

Dividing both numerator and denominator of 24.8 / 13.4 by 2 yields the simpler 12.4 / 6.7  or  124/67.  This latter result cannot be reduced.

The sign of f on the interval -7/3 < x < -3/5 is always positive.

We have the equation

(5x+3)(x−2)(3x+7)(x+5) > 0

Now when f(x) > 0

Then -7/3 < x < -3/5

This would tell us that the sign would become positive when it changes from the less than to greater than sign

f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2

What is the sign of f on the interval -7/3<x<-3/5?

answer choices

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

f is never positive or negative on the interval

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Answer:

$180 - (15% * $180) = $153

Step-by-step explanation:

Answer:

$153

Step-by-step explanation:

Hello!

Original Price: $180

Original Percentage: 100% (multiplier = 1)

Discount: 15% (multiplier = 0.15)

Given that the Original Percentage is 100% and the Discount is 15%, we are trying to find 85% of the Original Price.

Sale Price: 85% of Original Price (multiplier = 0.85)

The sale price is $153.

Answer:

it is 82%

Step-by-step explanation:

Answer:

i think it would be greatest common factor

Step-by-step explanation:

Answer:

[tex]B=\sqrt{2}[/tex]

Step-by-step explanation:

Original equation:

[tex]B = \sqrt{2+\sqrt{3}} - \sqrt{2 - \sqrt{3}}\\[/tex]

Square both sides:

[tex]B^2=(\sqrt{2+\sqrt{3}})^2 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + (-\sqrt{2-\sqrt{3}})^2[/tex]

Cancel out the square roots and squares:

[tex]B^2=2+\sqrt{3}}+ 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + 2-\sqrt{3}[/tex]

Add the sqrt(3) and -sqrt(3) as well as 2 and 2

[tex]B^2=4 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}})[/tex]

Use the identity: [tex]\sqrt{a} * \sqrt{b} = \sqrt{a * b}[/tex] to rewrite the two square roots being multiplied:

[tex]B^2=4 + 2(-\sqrt{(2+\sqrt{3}) * (2 - \sqrt{3}}))[/tex]

Use difference of squares: [tex](a-b)(a+b) = a^2-b^2[/tex]

[tex]B^2=4 + 2(-\sqrt{2^2-\sqrt{3}^2})[/tex]

Square both sides

[tex]B^2=4 + 2(-\sqrt{4-3})[/tex]

Subtract:

[tex]B^2=4 + 2(-\sqrt{1})[/tex]

Evaluate square root of 1:

[tex]B^2=4 + 2(-1)[/tex]

Multiply

[tex]B^2=4 -2[/tex]

Subtract

[tex]B^2=2[/tex]

Take square root of both sides:

[tex]B=\sqrt{2}[/tex]

Answer: 45%

Step-by-step explanation:

Converting the word problem into words, we have:

18= x/100*40

Solving for it, we get that x=45.

Answer:

none

Step-by-step explanation:

Answer: $21.45

Step-by-step explanation:

FACTS:

1 yard costs $5.72.

She bought 3.75 yards

Total cost= cost per yard x number of yards

Total: t

t= 5.72x3.75

t= $21.45

She spent $21.45 for 3.75 yards of material