You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same
amount, what is the price of one palr of shorts?
What is the correct equation and solution for this problem?
2 x - $22 = $56, x= $34
2 x + $22 = $56: x= $34
2 x + $22 = $56: x= $17
2 x - $22 = $56: x= $17

Answer:

$3.95

Step-by-step explanation:

Take the amount she has to spend and subtract the amount left ($10.60) and that will leave you with $11.85.  So this is  how much was spent on the 3 bags of chips. To find how much each bag cost, divide $11.85/3 bags = $3.95 per bag.

The probability that the next respondent questioned will indicate that they are planning to vote is 0.59.

Given that, 315 respondents indicated that they were planning to vote and 217 said that they were not.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Now, probability of voting is

P(voting)=315(315+217)

= 315/532

= 0.59

Therefore, the probability that the next respondent questioned will indicate that they are planning to vote is 0.59.

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Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

Answer:

Step-by-step explanation:

This is a function as each input value has exactly one output according to definition of functions.

Answer:

Julie spent $5.46. Micah spent $27.30. Jeremy spent $33.99.

Step-by-step explanation:

Julie spent $5.46

Micah spent 5 times more than Julie, so multiply $5.46 by 5, which totals $27.30.

Jeremy spent $6.69 more than Micah, so add $6.69 to $27.30 to equal $33.99.

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

Now,

⇒  \(0.09x+0.06(47,500-x)=3000\)

⇒        \(0.09x+2850-0.06x=3000\)

⇒                     \(0.03x+2850=3000\)

⇒                                \(0.03x=150\)

⇒                                       \(x=\frac{150}{0.03}\)

⇒                                       \(x=5000\)

Answer:

A pencil costs $0.50

A binder costs $3.00

A notebook costs $2.50

Step-by-step explanation:

Represent Notebook with N, Pencil with P and Binder with B

For Anna:.

2N + P + 3B = 14.50

For Josh:.

N + 4P + B = 7.50

For Alex:

3N + 2P + 2B = 14.50

Required

Solve for N, P and B

Make N the subject in the second equation

N + 4P + B = 7.50

N = 7.50 - 4P - B

Substitute 7.50 - 4P - B for N in the first equation

2N + P + 3B = 14.50

2(7.50 - 4P - B) + P + 3B = 14.50

Open Bracket

15.0 - 8P - 2B + P + 3B = 14.50

Collect like terms

3B - 2B + P - 8P = 14.50 - 15.0

B - 7P = -0.50

B = 7P - 0.50

Substitute 7.50 - 4P - B for N in the third equation

3N + 2P + 2B = 14.50

3(7.50 - 4P - B) + 2P + 2B = 14.50

22.50 - 12P - 3B + 2P + 2B = 14.50

Collect Like Terms

2P -12P + 2B - 3B = 14.50 - 22.50

-10P - B = -8

Multiply through by -1

10P + B = 8

Recall that B = 7P - 0.50

10P + B = 8 becomes

10P + 7P - 0.50 = 8

17P - 0.50 = 8

17P = 8 + 0.50

17P = 8.50

Divide through by 17

P = 8.50/17

P = 0.50

This implies that a pencil costs $0.50

Substitute 0.50 for P in B = 7P - 0.50

B = 7 * 0.50 - 0.50

B = 3.50 - 0.50

B = 3.00

This implies that a binder costs $3.00

Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B

N = 7.50 - 4 * 0.50 - 3.00

N = 7.50 - 2.00 - 3.00

B = 2.50

This implies that a notebook costs $2.50

Answer:

25

Step-by-step explanation:

Answer:

you have to study your graph sincerely and understand that graph, only then you can find ur gradient.

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

\(f(a) = \frac{2a}{a - 1} \)

\( - f(a) = \frac{ - 2a}{a + 1} \)

Answer: (-2ab^3)(-3a^2b^5)

Simplifying

(-2ab3)(-3a2b5)

Remove parenthesis around (-2ab3)

-2ab3(-3a2b5)

Remove parenthesis around (-3a2b5)

-2ab3 * -3a2b5

Reorder the terms for easier multiplication:

-2 * -3ab3 * a2b5

Multiply -2 * -3

6ab3 * a2b5

Multiply ab3 * a2b5

6a3b8

Step-by-step explanation: hope this helped you and have a blessed wonderful day.

A graph of the resulting triangle after a rotation of -180° about the origin is shown below.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point T (6, 0)  →  Coordinates of point T' = (-6, 0)

Coordinates of point O (-2, -5)  →  Coordinates of point O' = (2, 5)

Coordinates of point P (-2, 5)  →  Coordinates of point P' = (2, -5).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

15. 2x^4

16. 37y

17. 13b-10

18. 5x+4

19. 4y+10

:)

☁️ Answer ☁️

15. 2x^4.

Subtract 5x^4 from 7x^4.

16. 37y.

Explanation: 32y + 5y = 37y 37y = 0 Solving 37y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '37'. y = 0 Simplifying y = 0

17. Add 6b and 7b = 13b - 10

18. Add 2x and 3x = 5x + 4

19. 4y + 10

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Step-by-step explanation:

so first you must calculate the total amount of marbles there are, that being addition : 1+4+2+6+4+5 = 24 in total. now you want to make that into a fraction, 24/24 marbles, once again all together, so the probability of not getting a black marble is 5/24 and probability of not getting a green is 2/24.

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

The requried equation of the diagonals for which WXYZ will be rhombus is y = -x + 12 and y = x + 12.

A rhombus is a parallelogram with all sides of equal length. This means that the diagonals of a rhombus bisect each other at right angles.

Let's first find the length of the diagonals of rhombus WXYZ using the distance formula:

WY = \(\sqrt{[(9-1)^2 + (11-3)^2]]}\) = 8√2

Since the diagonals of a rhombus bisect each other at right angles, we can use the midpoint formula to find the midpoint M of the diagonal WY:

Midpoint M = ((1+9)/2, (3+11)/2) = (5, 7)

The slope of the line passing through W and Y is:

slope WY = (11-3)/(9-1) = 8/8 = 1

Therefore, the slope of the line perpendicular to WY is -1/1 = -1.

Using the point-slope form with point M and slope -1, we get:

y - 7 = -1(x - 5)

y = -x + 12

So, the equation of the line passing through M with a slope perpendicular to the line passing through W and Y is y = x + 12 equation for XZ will be the same but the slope will be +1 so the equation is y = x + 1.

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Answer:

-5x+6-3x=22 is x = -2

10-9x+6=34 is x = -2

Step-by-step explanation:

Answer:

If you have the coordinates of two points, you can use the distance formula to find the length of the line segment between them. The distance formula is:

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

where:

And to find a perimeter add all the sides as the perimeter is the sum of all sides of the shape or object.

Perimeter: Sum of all sides

Area : Length * breadth or base*height for rectangle

Answer:

\(y=\frac{3}{2}x-3.5\) or, preferably, \(y=\frac{3}{2}x-\frac{7}{2}\)

Step-by-step explanation:

First is to find the perpendicular slope. In this case, you swap the numerator and denominator and then multiply that fraction by -1.

In this case, -2/3's inverse slope is 3/2.

Now, the initial y=3/2 passes through 7.5,5

So, you must subtract 3.5 from that to make it pass through 4,5.

In this way, you get the answer in slope-intercept form.

Answer:

y = \(\frac{3}{2}\) x - 1

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{2}{3} }\) = \(\frac{3}{2}\) , then

y = \(\frac{3}{2}\) + c ← partial equation in slope- intercept form

To find c substitute (4, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = \(\frac{3}{2}\) x - 1 ← equation of line

The greatest common factor and factoring by grouping of the following is;

The greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

9m³, 3m², 15m

= 3m

4a², 6a, 2a³

= 2a

16xy³, 24x²y², 8x²y

= 8xy

10m²n², 25mn³, 50m²n

= 5mn

6m(r + t)², 3p(r + t)⁴

= 3(r + t)²

7z²(m + n)⁴, 9z³(m + n)^5

= z²(m + n)⁴

Therefore, the answer to the greatest common factor and factoring by grouping of the following is;

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Step-by-step explanation:

after I answered the other one(s), you should be really able to do this yourself.

it is precisely the same method and formula just with different numbers.

what's the problem now ?

y = -16x² + 247x + 141

we assume, the ground is at 0 ft.

so, we need to solve

0 = -16x² + 247 x + 141

the general solution for such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -16

b = 247

c = 141

x = (-247 ± sqrt(247² - 4×-16×141))/(2×-16) =

= (-247 ± sqrt(61009 + 9024))/-32 =

= (-247 ± sqrt(70033))/-32

x1 = (-247 + 264.6374879...)/-32 = -0.551171497... s

x2 = (-247 - 264.6374879...)/-32 = 15.9886715... s

again, the negative solution for time did not make any sense, so, x2 is our solution.

the rocket will hit the ground after about 15.99 seconds.

Answer:

11

Step-by-step explanation:

plz watch all steps in pic

Answer:

A-Cylinder

Step-by-step explanation:

Because when folded back to its original state the circles at the top and bottom act as bottoms of a Cylinder.

Answer:

cylinder which means it's A

Answer:

55°

Step-by-step explanation:

In triangle BAC, angle C =

180° - 90° - 70°

Angle C = 20°

In triangle DAB, angle C =

180° - 90° - 55°

Angle C = 35°

Add both angles

20° + 35° = 55°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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