Christina read 7 pages in a magazine she read 5 times as many pages in a book how many pages did christina read altogether

I need help my sister needs help and she is in 4th grade and I am in 10th so I don’t know how to do her homework

your pretty cool, hmmmm maybe a 9.4/10

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

Answer:

attached

Step-by-step explanation:

y = ln (x)

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Answer:

number a should be half of 82 which is 41

for question b is two times 26 which is 52

We know that the hourly salary of Chasity is $15.00, and that the total amount she earns is entirely determined by the hours she works.

So, if she works more hours, she will earn more. This can be described as that the salary is dependent of the hours she works. Which means that the salary Chasity earns in the dinner is a dependent variable, and the amount of hours Chasity works can be classified as an independent variable, as it doesn't depend of anything else.

Answer:

no, because 2/10 is actually bigger than 2/100

Step-by-step explanation:

because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

63 1/4°f - 2 1/5°f = 61 1/20°f

Step-by-step explanation:

The price on sale of the dishwasher is $201.6

From the question, we have the following parameters that can be used in our computation:

Mardown = 20%

Selling price = $252

The price on sale of the dishwasher is calculated using the following equation

Price on sale = Selling price * (1 - Mardown)

Substitute the known values in the above equation, so, we have the following representation

Price on sale = 252 * (1 - 20%)

Evaluate

Price on sale = 201.6

Hence, the price is $201.6

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Answer:

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Answer:

\(6p - 2q + 4r - 2p + 3s + 5q\)

group the like terms together:

\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)

simplify:

\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)

Answer:

y because its y i really dont no

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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\(x = 4 \cos(a) \)

\( \frac{x}{4} = \cos(a) \\ \)

\(( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ \)

\( \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ \)

_____________________________________________

\(y = 5 \tan(a) \)

\( \frac{y}{5} = \tan(a) \\ \)

\(( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ \)

\( \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ \)

_____________________________________________

Thus ;

\( \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ \)

\( {cos}^{2} (a) - {tan}^{2} (a)\)

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

The area as a product and as a sum will be (x - 5)(x + 3) and x² - 5x + 3x - 15, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The dimensions (outside parts) of the Area Model are below.

x²        - 5x

3x        - 15

Then the sum is given as,

⇒ x² - 5x + 3x - 15

Factorize the expression, then we have

⇒ x² - 5x + 3x - 15

⇒ x(x - 5) + 3(x - 5)

⇒ (x - 5)(x + 3)

The area as a product and as a sum will be (x - 5)(x + 3) and x² - 5x + 3x - 15, respectively.

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Mack should make 9 necklaces and 3.6 (rounded to 4) wristbands to maximize his profit.

We have,

The profit function is given by:

P(x,y) = 3x + 2y

The constraints are:

40x + 25y ≤ 360 (time constraint)

x + y ≤ 12 (item constraint)

x, y ≥ 0 (non-negative constraint)

To find the vertices, we need to solve the system of equations for each pair of intersecting lines. The vertices are the points where the lines intersect.

40x + 25y = 360

x + y = 12

Solving this system of equations, we get:

x = 6, y = 6 (vertex 1)

x = 9, y = 3.6 (vertex 2)

x = 0, y = 12 (vertex 3)

Now, we evaluate each vertex in the profit function:

P(6,6) = 3(6) + 2(6) = 24

P(9,3.6) = 3(9) + 2(3.6) = 30.6

P(0,12) = 3(0) + 2(12) = 24

Now,

Vertex 2 yields a maximum profit of $30.60.

Therefore,

Mack should make 9 necklaces and 3.6 (rounded to 4) wristbands to maximize his profit.

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Answer:

13

Step-by-step explanation:

because...math

8 unit²

The shape is a trapezoid.

Area of a trapezoid = 1/2 (a + b) h

a = base 1 = 2

b = base 2 = 2 + 2 + 2 = 6

h = height = 2

Area of trapezoid = 1/2(2 + 6) × 2

Area of trapezoid = 1/2 × (8) × 2 = 16/2

Area of the trapezoid = 8 unit²

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

The standard form given of the function is x² - 12x - 45.

A quadratic equation has the conventional form ax2 + bx + c = 0, where an is the leading coefficient and a real integer that is not zero.

The quadratic equation ax2 + bx + c = 0 has the conventional form, where a 0 and a, b, and c are real values.

The given function is -

(x−6)²=81

⇒ x² + 36 - 12x = 81

⇒ x² - 12x = 81 - 36

⇒ x² - 12x = 45

⇒ x² - 12x - 45

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The slope intercept form is y= ( -3/2 ) x + 7/2

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

(x1,y1)= (3. -1) and (x2,y2)= (5, -4)

slope intercept form:

y=mx+b , m=slope, b = constant

m= (y2-y1) /( x2-x1) = (-4-(-1)) / ( 5-3) =  -3/2

line equation:

y-y1=m(x-x1)

Substitute the values

y-(-1)=( -3/2 ) (x-3)

y+1=( -3/2 ) x + 9/2

y= ( -3/2 ) x + 9/2 - 1

y= ( -3/2 ) x + 7/2

Thus, the slope intercept form is y= ( -3/2 ) x + 7/2

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The measure of both angles are 24 and 66 degrees

The sum of two complementary angles is 90 degrees.

If two angles are complementary, then;

m<K + m<L = 90

where x and y are the angles

Given the following parameters

<K = 3x + 3

<L =10x - 4

Substitute the given parameters into the formula

3x + 3 + 10x - 4 = 90

Collect the like terms

3x+10x - 1 = 90

13x = 90 + 1

13x = 91

Divide both sides by 13

13x/13 = 91/13

x = 7

For the angles

<K = 3x + 3

<K = 3(7) + 3

<K = 24 degrees

Similarly;

<L = 90 - <K

<L = 90 - 24

<L = 66 degrees

Hence the measure of both angles are 24 and 66 degrees

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x