If 15/25 = x/100, then x=

Answer:

Option B ,$133.92  is correct

Step-by-step explanation:

By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well

Let us approach the question by solving for monthly payment of  Card A using   12% APR as follows while making use of excel pmt formula:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the card which is 12%/12=1%

nper is the number of months of payment which is 12 months * 4 years=48

pv is the current balance in the card which is $1,389.47

fv is the total amount of monthly repayment which is taken as zero

=pmt(1%,48,-1389.47,0)=$ 36.59  

Using 16% monthly payment is $39.38  which is given already

Total monthly payments for 16%=$39.38*48=$1890.24

Total monthly payments for 12% APR=$36.59*48=$1756.32

savings in total repayments=savings in interest=$1890.24 -$1756.32 =$133.92

Answer:

B. $133.92

Step-by-step explanation:

Just took the test and got it right

y=5x+3

Because the starting value(y intercept is 3) and the slope(x) is 5

Answer:

Option C.

Step-by-step explanation:

Given: In [tex]\Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ} [/tex].

In [tex]\Delta OPQ[/tex],

[tex]m\angle O+m\angle P+m\angle Q=180^{\circ}[/tex]    (Angle sum property)

[tex]107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}[/tex]

[tex]135^{\circ}+m\angle Q=180^{\circ}[/tex]

[tex]m\angle Q=180^{\circ}-135^{\circ}[/tex]

[tex]m\angle Q=45^{\circ}[/tex]

Now,

[tex]m\angle O>m\angle Q>m\angle P[/tex]

In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that

[tex]PQ>OP>QO[/tex]

Therefore, the correct option is C.

Answer:

Maximum revenue is 11200 at price p=10.

Step-by-step explanation:

If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex] and a<0, then it is maximum at [tex](\frac{-b}{2a},f(\frac{-b}{2a}))[/tex].

The revenue model of a company is

[tex]R=-12p^2+240p+10,000[/tex]

Here, [tex]a=-12, b=240,c=10000[/tex].

So,

[tex]-\dfrac{b}{2a}=-\dfrac{240}{2(-12)}=10[/tex]

It means, revenue is maximum at price 10.

Substitute p=10 in the revenue function.

[tex]R=-12(10)^2+240(10)+10000[/tex]

[tex]R=-1200+2400+10,000[/tex]

[tex]R=11,200[/tex]

Therefore, maximum revenue is 11200 at price p=10.

Answer:

a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50

Step-by-step explanation:

a. What is the estimate for the probability of selecting a blue crayon?

b. What is the estimate for the probability of selecting a brown crayon?

c. What is the estimate for the probability of selecting a red or yellow crayon?

d. What is the estimate for the probability of selecting a pink crayon?

e. If there are 300 crayons in the bag,how many will be red? Show your work.

Answer:

a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50

Answer:

its Combine like terms sorry the answer is kind of late

Step-by-step explanation:

The first step in solving the given equation is Combine the like terms.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation,

gx + 3x + 2 = 57

Like terms are terms which are having the same variable or they are constants.

Here gx and 3x are like terms since both of then has the variable x.

2 and 57 are constants.

gx + 3x + 2 = 57

Combine the like terms.

(g + 3)x = 57 - 2

(g + 3)x = 55

Hence the first step is combining like terms.

Learn more about Equations here :

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Answer:

Step-by-step explanation:

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer: $408 04

Step-by-step explanation:

Average of the car = 27 miles per gallon

Petrol required to travel 2727 miles = 2727 / 27 = 101 gallons

Cost of petrol = 101 x 4.04 = 408.04

Answer:

- 8x + 9

Step-by-step explanation:

To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is

g(2x - 1)

= - 4(2x - 1) + 5 ← distribute parenthesis and simplify

= - 8x + 4 + 5

= - 8x + 9

Answer:

= - 8x + 9

Step-by-step explanation:

= - 8x + 4 + 5

= - 8x + 9

Given:

To find out:

Find the height, h ?

Formula used :

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

Solution:

We know that that,

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )

=> 448 = 2 ( 84 + 6h + 14h )

=> 448 = 2 ( 84 + 20h )

=> 448 = 168 + 40h

=> 40h = 448 - 168

=> 40h = 280

=> h = 280/40

=> h = 7 cm

Answer:

False

Step-by-step explanation:

4 is not prime, it would be 2^2*3^2

Answer: a) 97

b) 38.9

Step-by-step explanation:

a) add all of the numbers from the aptitude test together and then divide that number by the number of scores recorded, so it would be 777/8 which equals 97

b) add all of the numbers from the personality test together and then divide that by the number of scores recorded, so it would be 311/8 which equals 38.9

i hope this helps.

Answer:

Step-by-step explanation:

Answer:

x=16.97056274... or 12[tex]\sqrt{2}[/tex]

Step-by-step explanation:

the hypotenuse of a 45, 45, 90 triangle is the length of the leg times the square root of 2

Answer:

$29

Step-by-step explanation:

2*1.25

2*3.75

2*1.5

4*1.75

4*2.25

multiply these and add them all up and you get 29

Answer:

$29.00

Step-by-step explanation:

you can solve this by writing a simple equation. (2 x 1.25) + (2 x 3.75) + (2 x 1.5) + (4 x 1.75) + (4 x 2.25) = Y. You can solve this by hand by following PEMDAS, or you could simply just plug it into a calculator.

Answer:

A

Step-by-step explanation:

The second event is dependent on the first.

Answer:

Least children=9

Step-by-step explanation:

there can be at least 1 row of 6 kids with 3 left so that is 9 kids. and there can be at least 1 row of 8 kids with 3 left so there is 11 kids. So the least number of kids possible is 9.

Answer:

A≈527.79

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757

Answer:

b

Step-by-step explanation:

Let x represent the number of quarts of Tuscan sauce and

y represents the number of quarts of marinara sauce Tiffany makes.

A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil

x quarts requires 6x tomatoes and 1x cups of oil

A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil

y quarts requires 5y tomatoes and 1.25 y cups of oil

She has 45 tomatoes and 10 cups of oil on hand.

So the constraints are

6x+5y≤45

1x+1.25y≤10

x>=0 and y>=0

After drawing a diagram of what's required to make 1 quart of Tuscan and 1 quart of Marinara sauce, you can more clearly choose answer choice (B) 6x + 5y < (or equal to) 45, x + 5/4y < (or equal to) 10, x>(or equal to)0, y>(or equal to)0.

please mark brainliest :)

add all the values together

54.29+87.20=141.49

141.49+21.44=162.93

Answer:

$162.93

Step-by-step explanation:

Do 54.29 + 87.20 + 21.44 and get 162.93 than put this $ in front of you answer  then you have $162.93

Answer:

D.

Step-by-step explanation:

When you exponent a exponent, you multiply the 2 exponents together.

Answer:

The Answer is D

Step-by-step explanation:

When there is a fraction with exponents in parentheses that has an exponent, you multiply the outer exponent to the inner ones

Answer:

x^3/8

Step-by-step explanation:

Use  n √ a^ x  = a ^x/ n  to rewrite  8 √ x ^3  as  x ^3/ 8 .

Answer:

Sports, Class, Bathrooms

Step-by-step explanation:

When playing sports it is near impossible to social distance. Tackling contact, you name it. Sitting in class, sharing desks with the classes that come before. Especially that student that hides gum under the table. Everyone shares bathrooms. It can't be cleaned as soon as someone uses it. All of these are reasons for the virus to spread.

Answer:

A large body of students could prove to be very dangerous, given how contagious the virus in question is. Students and teachers make contact with each other constantly, and that will surely infect nearly 70% of the facility's occupants.

Answer: A

Step-by-step explanation: Range is the distance between one point to the next. That would make A the correct answer.

Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{8}[/tex] = 4

Answer:

Option D.

Step-by-step explanation:

It is given that the endpoints of the diameter of a circle are (6, 5) and (−2, 3). So, midpoint of these end point is the center of the circle.

[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Center=\left(\dfrac{6+(-2)}{2},\dfrac{5+3}{2}\right)[/tex]

[tex]Center=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

[tex]Center=\left(2,4\right)[/tex]

So, center of the circle is (2,4).

Length of diameter of the circle is the distance between (6, 5) and (−2, 3).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(-2-6)^2+(3-5)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-2)^2}[/tex]

[tex]d=\sqrt{64+4}[/tex]

[tex]d=\sqrt{68}[/tex]

[tex]d=2\sqrt{17}[/tex]

So, radius of the circle is

[tex]r=\dfrac{d}{2}=\dfrac{2\sqrt{17}}{2}=\sqrt{17}[/tex]

Standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center of the circle and r is radius.

Substitute h=2, k=4 and [tex]r=\sqrt{17}[/tex] in the above equation.

[tex](x-2)^2+(y-4)^2=(\sqrt{17})^2[/tex]

[tex](x-2)^2+(y-4)^2=17[/tex]

Therefore, the correct option is D.

Following are the calculation to fill in the blank:

For Part a)

Each home in this town consumed

[tex]\to 40 \times \frac{19000000}{115000000}\\\\\to 40 \times \frac{19}{115}\\\\\to 40 \times 0.165\\\\\to 6.6 \ \text{gallons of oil per day}[/tex]

For Part b)

Without completing the sentence,

[tex]\text{Total consumption = 19200000 barrels}\\\\\text{Total number of households = 118000000}[/tex]

As a result, each household consumed.

[tex]\to \frac{19200000}{118000000} \\\\\to \frac{192}{1180} \ (barrels)\\\\[/tex]

In the given scenario, each barrel includes 42 gallons of oil. Therefore, every household consumed [tex]42 \times \frac{192}{1180} = 6.83 \ gallons[/tex] oil each day.

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Hence, each household will consume 6.60 gallons per day.

Total Households of that country =115000000 (approx.)

Total barrels used per day =19000000 (approx.)

Given 1 barrel = 40 gallons (approx.)

So total gallons used per day = 19000000 x 40 =760000000

So each household will consume gallons per day = total gallons used per day / Total household of that country

=[tex]=\frac{760000000}{ 11500000}[/tex]

=6.60 gallons/household/day

So each household will consume 6.60 gallons per day.

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