the ratio of participants on the girls track team to the number of boys on the track team is 5:7. If the boys have 22 more participants than the girls, how many girls are on the track team?

Answer:

{Q = -(3 P)/2, Q = -6 P}

Step-by

-step explanation:

Answer:

Final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].

Step-by-step explanation:

Given equation is [tex]9x^2+24x+20=4[/tex].

Now we need to solve that by factoring.

[tex]9x^2+24x+20=4[/tex]

[tex]9x^2+24x+20-4=0[/tex]

[tex]9x^2+24x+16=0[/tex]

[tex]9x^2+12x+12x+16=0[/tex]

[tex]3x(3x+4)+4(3x+4)=0[/tex]

[tex](3x+4)(3x+4)=0[/tex]

[tex](3x+4)=0[/tex], [tex](3x+4)=0[/tex]

[tex]3x+4=0[/tex], [tex]3x+4=0[/tex]

[tex]3x=-4[/tex], [tex]3x=-4[/tex]

[tex]x=-\frac{4}{3}[/tex], [tex]x=-\frac{4}{3}[/tex]

Hence final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].

Answer:

the profit will be $172

Step-by-step explanation:

The function given is:

p(x) = 2(x-9)^2 + 100

Where x is the price of the each shirt.

if each shirt is sold for $15,  hen x = 15.

the profit will be:

p(15) = 2(15-9)^2 + 100

p(15) = 2(6)^2 + 100

p(15) = 2(36) + 100

p(15) = 72 + 100

p(15) = 172

So, the profit will be $172

On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).

On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).

The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18

For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]

So:

[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]

Thus, the values are:

24,8, -12

Answer:

24,8, -12

Answer:

The markup percentage of the IPhone 7 is  $218.18%.

Step-by-step explanation:

The IPhone 7 costs for Apple to make = $220

The cost in stores = $700

The difference between costing price and selling price = 700 -220 = $480

The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100

= $218.18

The markup percentage of the IPhone 7 is  $218.18%.

The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.

The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.

To calculate the markup percentage of the iPhone 7:

Therefore, the markup percentage of the iPhone 7 is 218%.

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Answer:

16

Step-by-step explanation:

3 times 16 is 48

hope this helps :)

Final answer:

The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.

Explanation:

To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.

Dividing 45 by 3 gives us:

45 / 3 = 15

So the inequality becomes:

< 15

Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.

Answer:

Horizontal

Explanation:

There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.

There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.

The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.

Answer: 9 weeks

Step-by-step explanation:

Final answer:

Leonardo will take 9 weeks to fully pay off the $600 ring after making a 10% down payment and weekly payments of $65.

Explanation:

The question is asking how many weeks it will take Leonardo to pay off a ring valued at $600 with a 10% down payment and subsequent weekly payments of $65.

First, calculate the down payment Leonardo makes: 10% of $600 equals $60. Subtract the down payment from the original price to find out the remaining amount Leonardo has to pay, which is $600 - $60 = $540.

Next, divide the remaining amount by the weekly payment: $540 divided by $65 per week equals approximately 8.31, which rounds up to 9 weeks since you can't make a fraction of a payment.

Therefore, it will take Leonardo 9 full weeks to pay off the ring.

what do you mean 2<_ 10?

If x<_10,

a) 1,2,5,10

b) 4

c) 6

Answer:

see explanation

Step-by-step explanation:

Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Factors of 10 are 1, 2, 5, 10, thus

P = { 2, 5, 10 } ← 1 is not a member of the universal set

and the number of elements in P , that is n(P) = 3

The complement of P is the elements not in P but in the universal set

P' = { 3, 4, 6,7,8,9 }

Answer:

Option A, 76

Step-by-step explanation:

Substitute x by 4 to the following expression :

12(4) + 9(4) - 2(4)

48 + 36 - 8

84 - 8

= 76

Answer:

3 1/2 Batches.

Step-by-step explanation:

1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5

Answer:

270

Step-by-step explanation:

m q =90

so remaining angle for a circle is 270

Answer:

270

Step-by-step explanation:

ca is 180 since it is a straight line plus the 90 from section 1

Answer:

4 grams

Step-by-step explanation:

Mass is conserved, so if you start with 4 grams, you end with 4 grams.

what we do is, we simply draw the graph for its EQUALITY counterpart, namely  [tex]\bf y=-\cfrac{1}{6}x+1[/tex].

then we check the regions on both sides of the graph, in this case we can check say the point (0,0) for simplicity, and

[tex]\bf y>-\cfrac{1}{6}x+1\qquad (0,0)~~ \begin{cases} x=0\\ y=0 \end{cases}\implies 0>-\cfrac{1}{6}(0)+1\implies 0>1[/tex]

now, is 0 > 1? is 0 really greater than 1? nope, is smaller, thus the area where the point (0, 0) is at is the false region, so that's the area we do NOT shade, thus the other region must be the true region and that's the one we shade.

the ">" sign means, that "y" is greater than, NOT equals to but greater, thus the values at the borderline are not included, and thus is a dashed line.

Check the picture below.

Answer:

[tex]\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]

Step-by-step explanation:

In order to find out the resulting matrix, we will have to multiply the identity matric and the scalar 3:

The 3x3 identity matrix is:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

Multiplying with scalar 3:

[tex]3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

The scalar will be multiplied by each element of the matrix.

Multiplying zeros with scalar 3 will give us zero. So the resulting matrix will be:

[tex]\left[\begin{array}{ccc}3*1&0&0\\0&3*1&0\\0&0&3*1\end{array}\right] = \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]

So the resultant matrix will be a scalar matrix with 3 at diagonal positions..

Answer:

it's D on edge

Step-by-step explanation:

If the equation is

[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]

that's true for all s, since 3/2+1=5/2

So all of them result in true statements

Answer: All of the above

Let's just do one for yuks, s=5.

(5/2) s = 25/2

(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2  

That checks.

Answer:

Let's simplify step-by-step.

7x^2−3x+5x−6

=7x^2+−3x+5x+−6

Combine Like Terms:

=7x^2+−3x+5x+−6

=(7x^2+2x+−6 )

Answer:

=7x^2+2x−6

Final answer:

The sum of (7x² - 3x) and (5x - 6) is found by combining like terms, resulting in 7x² + 2x - 6, which is option C.

Explanation:

To solve the algebraic addition (7x²-3x) + (5x-6), you need to combine like terms.

First, identify and group like terms from both expressions. Like terms are those that have the same variable raised to the same power.

Combine the coefficients (numerical values) for each group of like terms.

Now, let's go through each step:

For the x2 terms: 7x2 (from the first polynomial) has no like term in the second polynomial, so it remains as is.

For the x terms: -3x (from the first polynomial) and +5x (from the second polynomial) combine to give 2x.

Lastly, the constant terms: -6 (from the second polynomial) also has no like term in the first polynomial, so it remains as is.

By combining these, the result is 7x² + 2x - 6, which corresponds to option C.

$26,250. 630,000 ÷ 24 =26250

Answer: 630,000 / 24= 26250

If you were, for example, to divide $630,000 evenly between you and 24 of your coworkers, you'd each get $26,250.

Hope this helps,

LaciaMelodii :)

The sum of the angles of any quadrilateral is 360 degrees. This means that you can make a formula like the one bellow and solve for x:

72 + 107 + x + 91 = 360

270 + x = 360

(270 - 270) + x = 360 - 270

x = 90

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x = 90°

Step-by-step explanation:

Angles in a quadrilateral add up to 360°

We are given the following angles : 107°, 72° and 91°

Wee need to find x so,

x + 107° + 72° + 91° = 360°

( Simplify )

x + 270° = 360°

( Minus 270° from both sides to isolate x )

x = 90°

Answer:

The value of y is 0.25

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

For x=5

Find the value of y

k=1.25

substitute in the equation

[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]

You can use photo math that helps to

Answer: x=2 you have to simplify both sides and isolate the variable

Answer:

7

Step-by-step explanation:

all u do is divide the area by the length

56/8

You do 56/8 the answer is 7

Answer:The initial values of the two functions are different, and the rates of change of the two functions are the same.

Step-by-step explanation:

The values will start out different. When you apply the rate of change, because they have the same rate of change, you don't risk them coming out with the same value if the values ended up being just right, they will always remain different.

The differences in the output values for linear function A and function B are a result of varying y-intercepts and slopes in each function. When plotted on a graph, these differences become apparent.

The output values for linear function A and function B will differ because of variations in their respective initial values (or y-intercepts) and their rates of change (or slopes). When you plot these output values against the shared input values as a graph of y as a function of x, these differences can be seen visually. For instance, consider the linear equation y = mx + b, where m represents the slope of the line and b is the y-intercept. If function A and B have different y-intercepts or slopes, the output values will differ for the same set of input values.

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Answer:

130°

Step-by-step explanation:

to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:

                                 13 · 180°

13π/18 · 180°/π rad = ------------- = 130°

                                       18

Answer:

.5x = 3x + 15

-2.5 x = 15

x = -6

Step-by-step explanation:

The correct answer is C. 8 - 17i

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

√64 - √-289

= 8 - √-289

= 8 - 17i         ( since (17i)² gives -289)

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Answer:

15

Step-by-step explanation: