Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

Answer:

x = 2

z = 118

Step-by-step explanation:

The angle with a measure of 118° and the angle labeled "x" are vertical angles

As we know, vertical angles are congruent

Thus, because x's vertical angle equals 118° x also equals 118°

The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles

Supplementary angles add up to equal 180

Thus, 12x + 38 + 118 = 180

                         ^Note that this is the equation we will use to solve for x

12x + 38 + 118 = 180

step 1 combine like terms

118 + 38 = 156

we now have 12x + 156 = 180

step 2 subtract 156 from each side

156 - 156 cancels out

180 - 156 = 24

we now have 24 = 12x

step 3 divide each side by 12

12x / 12 = x

24 / 12 = 2

we're left with x = 2

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Answer:

To divide by (x+1) in synthetic division, you divide by -1.

-1    1   -7   4   12

         -1    8   -12

—————————-

     1   -8   12   0

This gives us x^2 -8x +12x  which factors to (x-2) (x-6).  We still have the factor of (x+1)  so the zeros will be 2, 6, and -1.

Step-by-step explanation:

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

$45,000

Step-by-step explanation:

Income = percentage of income she receives x income

50% x 90,000

0.5 x 90,000 = 45,000

The probability that Dan buys a sandwich and gets the bus will be 0.16.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The probability that Dan buys a sandwich is 0.2.

The probability that Dan gets the bus is 0.8.

Assuming the events are independent.

Then the probability that Dan buys a sandwich and gets the bus will be

P = 0.2 × 0.8

P = 0.16

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

the correct answer is 5 snowmen

Answer:

25x^2 + 30x + 9

Answer:

Solution given:

Since it is a isosceles trapezoid so it diagonal will be congruent so

PR=QS

PT+RT=12cm

4.9+RT=12cm

RT=12-4.9

RT=7.1cm

PS=QR

QR=9cm

m<QPR=44° base angle of isosceles triangle

m<PTQ=180°-44-44=92°[interior angle remaining of traingle]

m<STR=m<PTQ

m<STR=92°

Answer:1733.28

square inches I think

Answer:

1733.28 in^2.

Step-by-step explanation:

The radius r = 1/2 the diameter = 1/2 *12 = 6 inches.

SA = 2*3.14*6^2 + 2*3.14*6*40

= 1733.28 in^2.

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

32y² + 7

Step-by-step explanation:

To evaluate g(4y) substitute x = 4y into g(x) , that is

g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

Answer: i cant see it

Step-by-step explanation:

Answer: It's the second one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

y = 4.5x + 8.5

Step-by-step explanation:

this is true

The mean is 8 and the lower quartile is 6.

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

Answer:

140

Step-by-step explanation:

Answer:

[tex]P(Z<-2.5) =0.0062097[/tex]

Step-by-step explanation:

From the question we are told that:

Test statistic t =-2.5

Generally the equation for Test for statistics is mathematically given by

 [tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]

 [tex]t=-2.5[/tex]

Therefore

P-value from Z table is

For left tailed test

 [tex]P(Z<-2.5) =0.0062097[/tex]

therefore the P-value for the test is

 [tex]P(Z<-2.5) =0.0062097[/tex]

Trust me, you're not the only one who's bad at math.  '-'

Answer:

whats the question...

Step-by-step explanation:

Answer:

B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260

Step-by-step explanation:

We are given that the savings = $s and current amount  $c.

Now, Ahmed has doubled his savings. This means that the new savings = $2s

Also, he had deposited $100.

So, the current amount of Ahmed is given by c = 2s + 100.

Moreover, if the savings is $80 i.e. s = 80, the current amount is,

c = 2 × 80 + 100

i.e. c = 160 + 100

i.e. c = 260

So, the current amount if savings is $80 is $260.

Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.

Answer:

14.67

Step-by-step explanation:

Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?

We have the Equation

150x = 2200

Divide both sides by 150

150x/150 = 2200/150

x = 14.666666667

Approximately x= 14.67

Answer:

divide each side by 150

Step-by-step explanation:

Answer:

+-5

Step-by-step explanation:

[tex] - 1 + - 5 = - 6[/tex]

[tex] - 6 + - 5 = - 11[/tex]

Answer:

5

Step-by-step explanation:

The common difference id the difference between two consecutive numbers in the sequence.

(1) -11-(-6) = -11 + 6 = 5

(2) -6-(-1) = -6 + 1 = 5

Therefore 5 is the common difference.

Hope it helps you.

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