Why can you use cross products to solve the proportion 18/5 = x/100 for x?
A.because 18 times 100 is equal to 5 times x, which means that x is equal to 36 B.because 18 times 100 is equal to 5 times x, which means that x is equal to 360 C.because 18 times x is equal to 5 times 100, which means that x is equal to 36 D.because 18 times x is equal to 5 times 100, which means that x is equal to 360

Answer: 5 1/10

Solution:

2/5-[-4 7/10]

2/5-[-(4*10+7)/10]

2/5-[-(40+7)/10]

2/5-[-47/10]

2/5+47/10

2*2/(5*2)+47/10

4/10+47/10

(4+47)/10

51/10

(50+1)/10

50/10+1/10

5 1/10

Final answer:

To estimate the division of 771 by 3.6, round 3.6 to 4 and divide 771 by 4 to get an approximate result of 192.75.

Explanation:

To estimate 771 divided by 3.6, we can round 3.6 to the nearest whole number, which is 4. The estimation calculation would then be 771 ÷ 4. Dividing 771 by 4 can be done by breaking down 771 into 760 + 11. Now, 760 ÷ 4 equals 190, and 11 ÷ 4 is approximately 2.75. Adding these two results, we get an estimated total of 192.75. Therefore, the estimated result of 771 ÷ 3.6 is approximately 192.75.

A.)  34.68

hope this helps

A is your answer. Take the $289 and multiply that by 0.12.

Hope this helps & good luck. :)

7. Loan amount = $12000

Monthly payment = $380

Duration of the repayment = 3 years = 3(12) = 36 months.

Total amount Jason repaid = 36 × 380 = 13680

Interest on loan amount = amount repaid - loan amount

= 13680 - 12000

= 1680

Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).

8. Loan amount = $35000

Monthly payment = $315

Duration of the repayment = 10 years = 10(12) = 120 months.

Total amount Gerald repaid = 120 × 315 = 37800

Interest on loan amount = amount repaid - loan amount

= 37800 - 35000

= 2800

Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).

either 0 or 1 plane(s)

2x5x10^5=1000000. You do the exponent first,10^5 = 100000. Then you multiply that by 5, 5x100000=500000. Then by 2, 500,000x2= 1000000.

The answer would be -5 because:

-6-(-1)

Keep Change Flip

-6 + 1

Different signs Subtract..so the answer would be 5 but then you add the negative to it because -6 is greater than the positive 1

12 - 5[(4 +2)² - (22 + 10)]

Remember to follow PEMDAS. First, solve both parenthesis

12 - 5[(4 +2)² - (22 + 10)]

12 - 5[(6)² - (32)]

Next, solve the exponent

(6)² = 6 x 6 = 36

12 - 5[(36) - (32)]

Then, solve the bracket.

36 - 32 = 4

12 - 5[4]

Next, multiply

-5 x 4 = -20

Finally, subtract.

12 - 20 = -8

None of the above. The answer is -8. Please check the answers and the question again

~Rise Above the Ordinary

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12)   ..............adding like terms

P = [tex](2\times5.5)+(2\times12)[/tex] .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.

The place value of the 8 in 2,894 would be the hundredths.

Hope helps!-Aparri

the value of the eight is 800 because i actually dont know how to explain this but basiclly the 3 rd digit from the right would always be the hundereds place.

It’s the product of three and nine.

Answer:

D

Step-by-step explanation:

The longest side is twice as long as the shortest side because lets suppose I have a triangle that has vertices with angles 30 and 60, the last one has to be 90 because the total is 180 degrees. Now for a 30 60 triangle, if the hypotenuse has a length of 2, the following ratios will hold true for the other two sides. The side that shares the 90 degrees and 60 degrees corners will be of length 1 and the side that shares the 30 degrees and 90 degrees corners (vertices) will be of length sqrt(3). This is true all the time. In this case the correct answer is that the longest side is twice as long as the shortest side because the longest side is the hypotenuse with length 2 and the shortest side will be the one that shares the 90 degrees and 60 degrees corners and is of length 1.

Answer:

A

Step-by-step explanation:

7+3 =10 or 3(10) 30                                                

22a. False

22b. True

22c. True

22d. False

For each scenario, we multiply Rachel's daily earnings ($21) by the number of days worked to find her total earnings.

In 22a, Rachel earns 21 × 20 = $420, not $421 as stated.

In 22b, Rachel indeed earns 21 × 15 = $315, making the statement true.

Similarly, in 22c, Rachel earns 21 × 13 = $273, confirming the statement as true.

However, in 22d, Rachel's earnings for 13 days amount to 21 × 13 = $273, not $250, rendering the statement false.

Therefore, the true statements are 22b and 22c, while 22a and 22d are false.

Complete Question:

Im pretty sure its y = 3x - 17

The equation is saying [tex]t+3\geq 21[/tex]. We can use algebra to subtract 3 from both sides to create [tex]t\geq 18[/tex].

Therefore, the value t is greater or equal to 18.

Answer:

4.038 < 4.08 < 4.3 < 4.803

Step-by-step explanation:

We are given four decimal numbers and we have to arrange them in increasing order:

The numbers are 4.08, 4.3, 4.803, 4.038

The expanded form of these decimal numbers are:

[tex]4.08 = 4 + \displaystyle\frac{8}{100}[/tex]

[tex]4.3 = 4 + \displaystyle\frac{3}{10}[/tex]

[tex]4.803 = 4 + \displaystyle\frac{8}{10} + \displaystyle\frac{3}{1000}[/tex]

[tex]4.038 = 4 + \displaystyle\frac{3}{100} + \displaystyle\frac{8}{1000}[/tex]

Thus, the increasing order is:

4.038 < 4.08 < 4.3 < 4.803

no it would not be congruent

Hello!

No, these shapes would not be considered congruent. In geometry, figures would only be congruent if they have the same size and shape. In the above image, the two figures have the same shapes, but they do not have the same size.

Answer:

Option B is the correct choice.

Step-by-step explanation:

Since we know that polynomials are closed under addition, subtraction and multiplication but not under division because division of two polynomials is not necessarily a polynomial.

Dividing a binomial by a trinomial will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.

Therefore, option B is the correct choice.  

On the number line, smaller numbers are located to the left of larger numbers, which are located on the right.

So, if you have two numbers x and y on the number line, the smaller of the two will be on the left, the larger one on the right.

So, -13 is located to the right of -15, because it's larger.

For the same reason, -11 is located to the right of -13.

On the number line, you would have something like

<--------(-15)-------(-13)--------(-11)---------->

On a number line, negative values decreases as we move to the left while positive values increases to the right. Hence,

Starting from 0 to the left, we have - 1, - 2, - 3,... which continues in that sequence as decreases as we move to the left of the number line.

Moving towards the left, - 13 appears before - 15 ; Hence - 13 is located relative to the right of - 15 on the number line

Similary, - 11 appears before - 13 ; Hence - 11 is located relative to the right of - 13 on the number line.

Therefore, - 13 and - 11 are located to the right of - 15 and - 13 respectively on the number line.

Learn more :https://brainly.com/question/9660363

Answer:  C. -20

Hope this helps!!  Please mark me brainliest??

The quadratic function is given by the equation [tex]h(t)=-0.075t^2+0.6t+2.5.[/tex]

The maximal height will be at vertex. Find t-coordinate of the parabola vertex:

[tex]t_{vertex}=-\dfrac{b}{2a}=-\dfrac{0.6}{2\cdot (-0.075)}=4\text{ seconds.}[/tex]

At t=4,

[tex]h(4)=-0.075\cdot 4^2+0.6\cdot 4+2.5=-1.2+2.4+2.5=3.7\text { feet. }[/tex]

Answer: it will take 4 seconds for the ball to reach the maximal height of 3.7 feet.

Dolphin: 5/15=1/3= .3333- miles per minute

Stingray: 11/30= .3666- miles per minute

Great White Shark: 92/(4 x 60)= .38333- miles per minute

The great white shark is the fastest.

Answer:

The great white shark is the fastest.

Step-by-step explanation:

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, 1) and (2, 13). Substitute:

[tex]m=\dfrac{13-1}{2-(-1)}=\dfrac{12}{3}=4[/tex]

Therefore the equation of a line is

[tex]y=4x+b[/tex]

Put the coordinates of the point (2, 13) to the equation of a line:

[tex]13=4(2)+b[/tex]

[tex]13=8+b[/tex]     subtract 8 from both sides

[tex]5=b\to b=5[/tex]

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24    Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24      Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16    Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4       Division Property of Equality

The answer of this expression is - 4 1/6

I'm pretty sure the unit price is $0.14. :)

Answer:

- 28 - 40i

note that i² = (√-1)² = - 1

expand product of factors using FOIL

= - 6 - 6i - 14i - 14i² - 20i + 36i²

= - 6 - 6i - 14i + 14 - 20i - 36

= - 28 - 40i

Step-by-step explanation:

Got right on PLATO

The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i

A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1

i² = (√-1)² = -1

Given the expression:

(3+7i) (-2-2i) -4i(5-9i)

= -6 - 14i -6i + 14 - 4i(5 - 9i)

= 8 - 20i - 20i - 36

= -28 - 40i

The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i

Find out more on complex number at: https://brainly.com/question/10662770

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