Find the value of x in each of the following proportions. a. 6 : 9 = x : 72 b. 8⁄3 = 40⁄x c. x : 55 = 3 : 5 d. 33⁄x = 11⁄5 A recipe calls for 5 cups of flour for every 6 teaspoons of salt. If you wanted to make a larger batch of the same recipe with 15 cups of flour, how much salt would you need? A 20-foot flagpole casts a 6-foot shadow. How tall is a nearby building that casts a 30-foot shadow (assume the shadows are measured at the same time of the day and both the flagpole and the building face the sun at approximately the same angle)? For every 15 columns of news stories in a newspaper, 4 columns of ads are required. If a newspaper contains 300 columns of news stories, how many columns of ads must it have? A certain color paint should have a mix of blue and green in a ratio of 5 : 2. If a house painter needs to use 8 gallons of green paint, how many gallons of blue paint should he mix with it in order to obtain the right color?

Answer:

x + 6 >= -4

x can be from -10 or anything greater.

Step-by-step explanation:

-4 - 6 = -10

if you do any number less than -10 it won't work, but anything greater does

Answer:

its A. (1,9) i know because i just did this apex test

Step-by-step explanation:

Final answer:

The question appears to be related to a simple subtraction of financial figures, specifically finding the difference between $49 and $149, which is $100. Without further context, it's unclear what specific mathematical operation or application is being asked for.

Explanation:

The question $49 to $149 does not provide enough context to determine a precise methodology or principle to apply. Looking at the provided references, these figures appear to represent various financial ranges which might be associated with tax brackets, salary bands, or other financial calculations. However, without additional context, it is impossible to provide a step-by-step explanation or to perform a specific calculation.

If the intent is to calculate the difference between $49 and $149, the work is simply:

This yields the difference between the two amounts.

Answer:

6

Step-by-step explanation:

20 times .3 equals 6

the answer is 6 because (30 ÷ 100) × 20

Answer:

2,000 problems

Step-by-step explanation:

We know the students solved the following amount of problems:

Week 1 - 25% of the month

Week 2 - 110% of the first week--> this means 25(1.10)=27.5%

Week 3 - 60% of the first two week--> this means 0.6(25+26.5)=31.5%

Week 4 - 320 problems --> this is 16% of the quota since 100-25-27.5-31.5=16%

So we know that 320 is 16%. We can set up a proportion to find the total amount.

[tex]\frac{16}{100} =\frac{320}{y}[/tex]

We solve by cross multiplying by multiplying numerator and denominator on opposite fractions.

[tex]16(y)=100(320)\\16y=32000\\\frac{16y}{16}=\frac{32000}{16}\\  y=2,000[/tex]

The quota for the month is 2,000 problems.

Answer:

∠2 = 115.5°

Step-by-step explanation:

128.5° is an exterior angle of the triangle

The exterior angle equals the sum of the 2 opposite interior angles, hence

∠2 + 13 = 128.5 ( subtract 13 from both sides )

∠2 = 115.5°

Answer:

216 kilometers

Step-by-step explanation:

126/14 = 9  (this means 9 kilometers per 1 liter)

9 x 24 = 216 kilometers

Answer:

2? i've never learned this but i just tried to teach myself lol sorry if its wrong i tried

Step-by-step explanation:

The given polynomial has 4 roots.

( may not be all distinct)

Fundamental Theorem of Algebra --

It states that every non-constant polynomial of degree n has exactly n roots counting  multiplicity.

i.e. the roots may repeat.

i.e. the  number of roots of a non-constant polynomial of degree n has atmost n distinct roots.

We are given a polynomial as:

[tex]f(x)=x^4+5x^3+10x^2+20x+24[/tex]

Clearly the polynomial is of degree 4.

This means that the roots of this polynomial will be: 4

( not all  roots may be distinct)

Answer:

25.15 miles per gallon

Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.

Answer:

see explanation

Step-by-step explanation:

to find the first, fourth and tenth terms, substitute n = 1, 4, 10 into the rule

A(1) = - 3 + (1 - 1)(- 2.2) = - 3 + (0 × - 2.2) = - 3 + 0 = - 3

A(4) = - 3 + (4 - 1)(- 2.2) = - 3 + (3 × - 2.2) = - 3 - 6.6 = - 9.6

A(10) = - 3 + (10 - 1)(- 2.2) = - 3 + (9 × - 2.2) = - 3 - 19.8 = - 22.8

the required terms are - 3, - 9.6, - 22.8

Answer:$36

Step-by-step explanation:

He has sold 6 and made $18 6x2=12 2x18=36

Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

Answer

By similar methods the next 2 items will be 32 and 64.

Note

The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.

This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.

When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:

So, the next three numbers in this pattern would be 16, 32, and 64.

https://brainly.com/question/27644447

#SPJ3

Answer:

x < the quantity negative 3 times b plus 5 all over negative 2

Step-by-step explanation:

−2x + 3b > 5

Subtract 3b from both side.

-2x +3b -3b > 5-3b

-2x > 5-3b

Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative

-2x/-2 < 5/-2 - 3b/-2

x < (5-3b)/-2

x< (-3b+5)/-2

Re write in words.

x is less than the quantity  negative 3 times b plus 5  all over  negative 2

Walk 5 mph for 2.5 miles : Would take 30 minutes. X

Drive 50mph : Would take 3 hours X

90mph for 180 miles : Would take 2 hours

Answer:

The speed is 50 pounds per hour .

Step-by-step explanation:

As given

Team infinite dimensions gathered 30 pounds of wood in [tex]\frac{3}{5}[/tex] hour.

[tex]Speed = \frac{Total\ pound\ of\ woods}{Total\ time}[/tex]

[tex]Speed = \frac{30}{\frac{3}{5}}[/tex]

[tex]Speed = \frac{30\times 5}{3}[/tex]

[tex]Speed =50\ pound\ per\ hour[/tex]

Therefore the speed is 50 pounds per hour .

Answer:

C = 4(-5, 2) (-20, 8)

A = 4(-4, 4) (-16, 16)

T = 4(-1, 2) (-4, 8)

I hope this helps

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A coefficient is the number a variable is multiplied by, so we can see that 8 is being multiplied by y. The answer is 8.

Hope this helps!

Answer

I am Maddie,

Step-by-step explanation:

I had this question on my CLASS and it was correct, I apologize if I got you wrong.

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

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

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]

Put the values of x to the equation of the function h(x):

[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]

Answer:

(f+g)(x) = 6x^2 +5x+10

Step-by-step explanation:

f(x)=7x+7 and g(x)= 6x^2-2x+3

find (f+g)(x)

We will add the 2 functions.  I like to line them up vertically.

 f(x)=          7x+7

g(x)= 6x^2-2x+3

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

(f+g)(x) = 6x^2 +5x+10

check the picture below.

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = [tex]\frac{66}{2}=33[/tex]

Similarly,  y = [tex]\frac{96}{2}=48[/tex]

y = 48° will be the answer.

Answer:

8^2 ft^2

Step-by-step explanation:

8^2= 64, and to find area it lengthxwidth.

so 8x8=64

Answer:8^2 ft^2

Step-by-step explanation:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.

How the amount is determined:

Principal amount (P) = Rs. 40000

Rate of interest (R) = 5% per annum

Time period (T) = 4 years

We can calculate the simple interest using the formula:

[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]

Plugging in the values:

[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]

= Rs 8000

Total Income after 4 years = Principal + Interest

Total Income = 40000 + 8000 = Rs 48000

Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned

Tax to Pay = 5% of Rs 8000 = Rs 400

Final Amount Received after Tax = Total Income - Tax to Pay

= 48000 - 400

= Rs 47600

Complete Question:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a.  If he has to pay 5% of interest as income tax, how much will he get after 4 years?

Answer:

3 is the greatest number of book shelves Andy can use.

Step-by-step explanation:

You can solve this by finding the greatest common factor of 9 and 6, which turned out to be 3.

6/3 = 2 (reading books per shelf)

9/3 =3 (math books per shelf)

Every shelf there are 2 reading books and 3 math books.

Answer:

Your answer is B 2/5

Step-by-step explanation:

y2-y1/x2-x1

[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]

Answer:

You would have to do  

7.50 x 32.5 which would equal

243.75

Please mark brainlist if helped! c:

What we know:

- Suzy earns 7.50$ per hour.

- Suzy worked 32.5 hour's last week.

What we need to find:

- We need to find the amount of money she had on her check.

What we need to do to solve this problem:

To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5

7.50×32.5=243.75

That being said, your answer is: 243.75

I hope this helps! :)

-LizzyIsTheQueen

D. X=0.75

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

Answer:

Option D - 0.75

Step-by-step explanation:

Given : Equation [tex]-4^x+1=3x-4[/tex]

To find : Solve the equation for x by graphing ?

Solution :

Let the equation,

[tex]y=-4^x+1[/tex] ......(1)

[tex]y=3x-4[/tex] ......(2)

Plot the two equations by graphing tool.

Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).

Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)

The intersection point of both the equation is (0.739,-1.784).

So, The solution of x value is approximately x=0.75.

Therefore, Option D is correct.

Refer the attached figure below.

Answer:

14905.85

Step-by-step explanation:

P(1+r/n)^nt

10000 (1 + (.05/12))^ (12*8)

Answer:

she will have $14,906 in December of year 2018

Step-by-step explanation:

To find the amount of money she will have in December of the year 2018, we will simply use the formula;

Compound Interest: A = P ( 1 + r/n )^nt

where p = principal

           R = rate

           n = the number of times the interest is compounded per unit time

            T = time

             A= Accrued amount

From the question

Principal (p) = $10,000

Rate (r) = 5% = 0.05

Time(t) = 2018-2010 = 8 years

n = 12

We can now proceed to insert the values into our formula;

Compound Interest: A = P ( 1 + r/n )^nt

                                      = $10 000 ( 1 + 0.05/12) ^12×8

                                         =$10,000(1 + 0.00416667)^96

                                          = $10 000(1.00416667)^96

                                            =$10 000(1.4905859)

                                            =$14,905.895

                                             ≈$14,906 to the nearest whole number.

Therefore she will have $14,906 in December of year 2018