What is the value of the digit 7 in 172,416.

150x + 400(1900-x) = 440250

150x + 760000 - 400x = 440250

250x = 319750

x = 1279

There were 1,279 children.

Answer:

Quarters = 47

Nickels = 83

Step-by-step explanation:

A) N + Q = 130

B) .05N + .25Q = 15.90

Multiplying equation A by -.05 equals

A) -.05N -.05Q = -6.50  then adding this to B)

B) .05N + .25Q = 15.90  Equals

.20Q = 9.40

Quarters = 47

Nickels = 83

.05*83 + .25*47 = 4.15 + 11.75 = 15.90

Answer:

8/3 = 1/x or x = 3/8

Step-by-step explanation:

Set up the ratio

(2/3)/(1/4) = 1/x  

solve for x  

8/3 = 1/x or x = 3/8

Answer:

Wax required for entire car = 3/8 bottle of wax

Step-by-step explanation:

We have given,

1/4 bottle of car wax can wax 2/3 of her car.

We need to find the wax required to wax her car completely.

Let's derive the relation between wax bottle and car waxing rate:

2/3 of car waxing needs 1/4 of bottle of wax.

for entire car waxing, i.e 1 car waxing needs (1/4) / (2/3) bottle of wax

            wax required for entire car     =    (1/4 )*(3/2)

                                                              =3/8 bottle of wax

Answer:

I think it is D because 9 times 7 equals 63...

Answer:

The answer is c Hope this helps:)

Step-by-step explanation:

Answer:

Multiplication and Division in order from left to right

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication and Division in order from left to right

Addition and Subtraction in order from left to right

Final answer:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

Explanation:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

In the order of operations, exponents are evaluated first, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. This means that after evaluating exponents, you should perform any multiplication or division operations in the expression if they exist.

For example, if you have the expression 2³ times 4 + 6, you would first evaluate 2³ = 8 and then perform the multiplication: 8 times 4 = 32. Finally, you would add the resulting 32 to 6 to get the final answer.

Answer:

-62

Step-by-step explanation:do multiplication 1st then work out problem left to right.

Answer:

m=-14 I hope this helps u

Step-by-step explanation:

Answer: The passenger will travel 17 miles.

Step-by-step explanation:

Since we have given that

Cost of a taxicab ride = $2.50

Cost of per mile = $1.10

Total cost of the trip = $21.20

Let number of miles the passenger travel be x

According to equation,

[tex]2.50+1.10x=\$21.20\\\\1.10x=\$21.20-\$2.50\\\\1.1x=18.7\\\\x=\frac{18.7}{1.1}\\\\x=17\ miles[/tex]

Hence, the passenger will travel 17 miles.

To match the numbers to the letters for the equivalents, we can simplify each expression:

3(4x + 2) = 12x + 6 (A)

(2x + 3) - (4x + 5) = 2x + 3 - 4x - 5 = -2x - 2 (B)

8x + 5 - x + 4 = 8x - x + 5 + 4 = 7x + 9 (C)

7(3x - 2) = 21x - 14 (D)

Matching the numbers to the letters for the equivalents:

Expression 1 is equivalent to option A.

Expression 2 is equivalent to option B.

Expression 3 is equivalent to option C.

Expression 4 is equivalent to option D.

Answer:

B

Step-by-step explanation:

Because Im MATHS SUPER MAN

Answer:

$82.55

Step-by-step explanation:

65 + (0.07×65) + (0.2×65)

Answer:

18 divided by 5 is equal to 3 with a remainder of 3 so she can only make 3 T-shirts

Step-by-step explanation:

Answer:

3 shirts

Step-by-step explanation:

She has 18 buttons. 18 divided by 5 is 3.6

so she can make 3 shirts

Let's go through the list of values and test the claim

Is 32 divisible by 2? Yes because 16*2 = 32. Is it also divisible by 4? Yes because 8*4 = 32. So we can cross choice A off the list

Is 12 divisible by 2? Yes because 6*2 = 12. Is it also divisible by 4? Yes because 3*4 = 12. So we can cross choice B off the list.

Is 40 divisible by 2? Yes because 2*20 = 40. Is it also divisible by 4? Yes because 4*10 = 40. Choice C is also crossed off the list.

Is 18 divisible by 2? Yes because 2*9 = 18. Is it also divisible by 4? No. We can see that by dividing 18/4 = 4.5 which is not a whole number result. Or you can list out the multiples of 4 which are 4, 8, 12, 16, 20 and we see that 18 is not on the list.

So choice D) 18 is the answer. This is a counter example to show that the claim "if number is divisible by 2, then it is also divisible by 4" is a false statement.

The required counterexample for the conjecture is 18. which is the correct answer that would be an option (D).

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

For example divisibility rule of 3 is that the sum of the digits should be 3.

A counterexample for the conjecture is 18. This is a counterexample because 18 is divisible by 2 (it is an even number), but it is not divisible by 4.

Therefore, the statement "any number that is divisible by 2 is also divisible by 4" is false, because there are some numbers (like 18) that are divisible by 2 but not by 4.

Thus, the required counterexample for the conjecture is 18.

Hence, the correct answer would be an option (D).

Learn more about the divisibility rule here:

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Answer:

16 kg of I type and 64 kg of II type should be mixed.

Step-by-step explanation:

Given that a metal alloy in original has 20% copper and 80% other metals.

Another mixture contains 60% copper and 40% other metals.

We have to get a new alloy of 80 kg which has 52% copper.

Let us assume that we mix x kg of I alloy and y kg of second alloy.

Then we have x+y = total weight = 80 kg.

x+y = 80   ... (i)

Next condition is that new alloy has 52% copper in it

When we mix x kg of I, and y kg of II, copper content would be

0.2x+0.6y.  This equals 52% of 80 = 41.6

Or Dividing by 0.2 we get

x+3y =208  ... (ii)

(ii)-(i) gives 2y = 128 or y =64 kg

x = 16 kg

16 kg of I type and 64 kg of II type should be mixed.

Verify:

Copper in new alloy = 16(0.2) + 64(0.6) = 3.2+38.4 = 41.6

= 52% of 80

Answer:

i think its 5w -2 =6

Step-by-step explanation:

product is 5w and 2 less than product is 5w-2 which is equal to 6

that is 5w - 2 = 6

Answer:

Today Sally is 28 years old and her son is 10

Step-by-step explanation:

x= Sally's Age; y= Sally's son age

Sally is 18 years older than her son

x-y=18

And she was three times older

x=3y

Substituting and solving:

3y-y=18

2y=18

Last year they were:

y=9

x=27

This year

y+1=10 ; x+1=28

Answer:

She can make two necklaces with 10 inches. 8 more inches

Step-by-step explanation:

Answer:

She can make 2.2 Necklaces, and needs 3.5 more inches of string.

Step-by-step explanation:

Let's carefully read the problem for information we need.

3 Friends, 4.5 Inches per friend. She only has 10 inches.

If each necklace is 4.5 inches, we need

4.5 (friend one) + 4.5 (friend 2) + 4.5 (friend 3). We can also just take 4.5 * 3 friends and get the same result. This equals 13.5.

But wait! We only have 10 inches... Jessica needs 3.5 more inches of string to be able too complete the 3rd necklace. This is the answer to "How much more string does she need to buy"

---

For "How many necklaces can she make". Well, we know she can't make a full 3 necklaces. We can find out the answer to this by dividing the 10 inches she does have, by the 4.5 inches it takes to make one necklace.

10/4.5=2.2

This means she could make 2 necklaces, and 2/10 (.2) of another necklace before she runs out of string.

ANSWER:

y = -2/3x + 2

ABOUT SLOPE INTERCEPT FORM:

You have to isolate or get y by itself:

2x + 3y = 6

-2x           -2x

3y = -2x + 6

3             3

y = -2/3x + 2 --- IN SLOPE INTERCEPT FORM

Hope this helps you!!! :)

Answer:

y=-2/3x +2

Step-by-step explanation:

y=mx+b

2x+3y-6

3y-6=-2x

3y=-2x+6

y=-2/3x+2

What form of measurement do we convert it to?

Convert to what? Feet? Inches? Yards? Meters? Please tell me so i can answer this!

Answer:

19.2 million.  

Step-by-step explanation:

Let us find the amount of savings per center by dividing 2.4 by 2.

[tex]\text{Amount of savings per center}=\frac{2.4\text{ Million}}{2\text{ Center}}[/tex]

[tex]\text{Amount of savings per center}=1.2\frac{\text{ Million}}{\text{ Center}}[/tex]

Hence, the company saved 1.2 million per center.

Let us multiply savings of each center by total number of company's distribution centers to find the total amount of money that the company can be expected to save.    

[tex]\text{Total amount of company's savings}=(1.2\times 16)\text{ million}[/tex]

[tex]\text{Total amount of company's savings}=19.2\text{ million}[/tex]

Therefore, Mr. Ortiz's company will save 19.2 million.

Answer:

(1,-5)

i plugged it into a graphing calc

The garden has a total of 14,208 plants, calculated by multiplying the area of the garden (3552 square feet) by the number of plants per square foot (4).

The student asked how many total plants are in a gardener's garden, which measures 96 feet long and 37 feet wide, with 4 plants per square foot. To determine the total number of plants, we must first find the area of the garden by multiplying the length and width.

The area of the garden in square feet is 96 feet × 37 feet = 3552 square feet. Since there are 4 plants per square foot, the total number of plants is 3552 × 4 = 14,208 plants.

Answer:

MI = -x+16

Step-by-step explanation:

MI + IB = MB

MI + 2x-7 = x+9

Subtract 2x from each side

MI + 2x-7 -2x = x+9-2x

MI -7 = -x+9

Add 7 to  each side

MI -7+7 = -x+9+7

MI = -x+16

The length of segment MI can be found by adding the lengths of segments MB and IB together, resulting in MI = 3x + 2.

This problem relates to the concept of line segments in geometry. Line MB and IB are parts of a straight line where M, I and B are points on the line. Given that MB = x + 9 and IB = 2x - 7, we realize that MB + IB = MI.

To solve this problem, you simply add the equations of the two line segments together because the total length segment MI would be the sum of segments MB and IB:

So, MI = MB + IB = (x + 9) + (2x - 7).

Then, simplify the equation by performing the addition:

MI = 3x + 2.

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Answer:

5x+5y

Step-by-step explanation:

Answer:

False...there's nothing to depend on when you are expecting a random number out of 2 different rolls of the "number cube".

Hope this helps!! (:

Answer:

1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.

2)Where you multiply the two exponents together

3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.

Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

3) 1/3^-5 = 3^5                 \

3^-7 =1/3^7

2^0 = 1

The exponent laws for multiplying and dividing powers with the same base involve adding or subtracting exponents, respectively. The power of a power law states you should multiply exponents. Negative and zero exponent laws indicate how to deal with powers that are negative or zero.

In mathematics, especially when dealing with exponents, there are specific laws that streamline the process of multiplication, division, and dealing with different powers. Below are the laws related to your questions:

Multiplying and Dividing Powers with the Same Base

For multiplication: When two powers with the same base are multiplied, you add the exponents. For example, a^m × a^n = a^(m+n).

For division: When two powers with the same base are divided, you subtract the exponents. For example, a^m ÷ a^n = a^(m-n), where a ≠ 0.

Power of a Power Law

When raising a power to another power, you multiply the exponents. This is known as the power of a power law. So, (a^m)^n = a^(m*n).

Negative and Zero Exponent Laws

A negative exponent indicates division by that base and the exponent turned positive, such as a⁻ⁿ = 1/aⁿ. For a zero exponent, any non-zero base raised to the power of zero equals one, signified as a⁰ = 1.

[tex]\underline{+\left\{\begin{array}{ccc}4x+5y=16\\-4x-10y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5y=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{y=-4}\\\\\text{Put the value of y to the first equation:}\\\\4x+5(-4)=16\\4x-20=16\qquad\text{add 20 to both sides}\\4x=36\qquad\text{divide both sides by 4}\\\boxed{x=9}\\\\Answer:\ \boxed{x=9\ and\ y=-4\to(9,\ -4)}[/tex]

Answer:

a.  4y =12x  the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a.  4y =12x

 Divide each side by 4

4y/4 = 12x/4

 y = 3x

This is direct variation and the constant is 3

Equations b ,c, d  all have a constant added which make them something other than a direct variation

Answer:

A Constant of variation is 3

Step-by-step explanation:

Remark

Direct variations have an equation that looks like y = kx There is NO y intercept, or the y intercept = 0. If you solve for the slope of choices B C and D you get a y intercept that is not 0. For example Take C

Solution

Your only possible answer is A

The constant of variation =