-10\left(-\frac{1}{2}+\left(-\frac{7}{2}\right)+7y=25

Answers

Answer 1

Answer:

[tex]y=\frac{47}{14}[/tex]

Step-by-step explanation:

Given

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Required

Solve for y

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Open brackets

[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]

Collect Like Terms

[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]

Take L.C.M

[tex]7y=\frac{50-10+7}{2}[/tex]

[tex]7y=\frac{47}{2}[/tex]

Divide both sides by 7

[tex]y=\frac{47}{2*7}[/tex]

[tex]y=\frac{47}{14}[/tex]


Related Questions

Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?

Answers

Answer:

9 miles

Step-by-step explanation:

Given that :

Given that:

On map:

5cm = 2 miles

If a map trail = 22.5cm

Length of trail in real life :

(22.5 cm / 5cm) * 2miles

4.5 * 2 miles = 9 miles

The trail is 9 miles in real life

need help on this pleaseeee!! as soon as possible!!!

Answers

5 units left and two units down

PLEASE HELP

A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.


1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2

Answers

Answer:

Option (4)

Step-by-step explanation:

From the picture attached,

ΔABC is a right triangle.

Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.

Length of diameter AC = 58 ft

Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft

Area of the circular garden = πr² [r = radius of the circle]

                                             = π(29)²

                                             = 2642.08 ft²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(27)(50)[/tex]

                                          = 675 ft²

Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle

= 2642.08 - 675

= 1967.08 ft²

≈ 1966 [Nearest value]

Option (4) will be the answer.

The number of miles that 10 students have to travel to school is given. 4.6, 2.1, 1.7, 6.1, 0.9, 4.3, 2.0, 6.1, 8.4, 0.3 What is the median number of miles that these 10 students need to travel to school? 2.1 miles 3.2 miles 4.3 miles 6.1 miles

Answers

Answer:

The median is 3.2 miles

Step-by-step explanation:

Is the function an exponential function?
y=(-2)^x

Answers

Answer:Yes

Step-by-step explanation:

the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.

function is a relationship between inputs where each input is related to exactly one output.

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = [tex](-2)^{x}[/tex]

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

Example:

y = [tex]3^{x}[/tex]

y = [tex]5^{x}[/tex]

We see that,

y = [tex](-2)^{x}[/tex]

-2 is a constant

x is a variable

Thus,

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

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A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.

Answers

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°

please help me! here’s a picture

Answers

Answer:

I would think the answer is 28?

im not really that sure

tell me ur white with out saying ur white

Answers

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

Mini made a recipe that yields 4 and 1 over 2 cups. If each serving is 1 over 2 cup, which expression will help Mini determine the number of servings her recipe will yield?

Answers

Answer:

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Step-by-step explanation:

Mini made a recipe that yields 4 and 1 over 2 cups.

1 recipe = 4 1/2 cups

1 serving = 1/2 cups

1/2 cups = 1 servings

4 1/2 cups = x servings

Cross Multiply

1/2 × x = 4 1/2

x = 4 1/2 ÷ 1/2

x = 9/2 ÷ 1/2

x = 9/2 × 2

x = 9 servings.

Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Urgent please help..

Answers

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?

Answers

Answer:

30 minutes = 0.5 hour

Step-by-step explanation:

0.5 miles faster than Liam:

4x + 0.25 = 4.5x

0.25 = 4.5x - 4x

0.25 = 0.5x

x = 0.25 / 0.5

x = 0.5 hours

x = 30 minutes

Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

The answer to the question provided is:

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

[tex]y - y_1 = m(x - x_1)[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m =  \frac{ - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  - \frac{6}{13} [/tex]

➋Second: Plug in.

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

What is the distance between the points? Round to the nearest tenth if necessary

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

if there are 93 calories in 3/4 cups how many calories are in 1 cup

Answers

93 = 3/4
?? = 1
Cross multiple
1(93)/(3/4) = 124

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:

A' =(−3/4, −3/2)

A' = (4/3, 2/3)

A' = (2, 1)

A' =(2/3, 2/3)

Answers

Answer:

The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

Step-by-step explanation:

Given

Point A (2, 1)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 2/3 centered at the origin

P(x, y) → P'(2/3x, 2/3y)

Here, P'(2/3, 2/3y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.

Thus,

A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)

Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?

Answers

9514 1404 393

Answer:

  reasonable range: 0 ≤ y ≤ 5.5

Step-by-step explanation:

Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...

  0 ≤ y ≤ 5.5

please help me with this​

Answers

Answer:

its A :)

Step-by-step explanation:

Hello someone please help me

Answers

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

Can someone help me on this question?

Answers

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{BC}{BD}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{BC}{16}[/tex]

BC = [tex]8\sqrt{3}[/tex]

Now, by applying sine rule in ΔBAC,

sin(45)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AB}{BC}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}[/tex]

x = [tex]8\sqrt{6}[/tex]

x = 19.59

x ≈ 19.6  

I really don’t get this math how am i supposed to figure out which side is which?

Answers

Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

Answer:

26

Step-by-step explanation:

You would use the Pythagorean theorem to solve for the last side.

Pythagorean theorem- a^2+b^2=c^2

a and b =sides

c=hypotenuse

Since you are finding the hypotenuse(c), you don't have to rearrange the formula

plug in a and b.

10^2+24^2=c^2

solve

100+576=c^2

676=c^2

do the square root of 676 to get rid of the c^2

26=c

can someone please help!!! pls do not comment to get points, i will report

Answers

Answer:

25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3

Step-by-step explanation:

25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.

26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.

27) Substitute those two points into the formula equation y=mx+b and solve for b

28) Solve for the slope and then solve for b by substituting

29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates

30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates

Hopefully I was able to help

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

Andre wants to buy a bike that has a price tag of $125. The wholesale cost of this bike was $87.50.

Answers

Answer:

Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:

Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A

Then if we know that the price tag of the bike is $125, then we have:

$125 = (1.3)*A

$125/1.3 = A = $96.15

The wholesale cost of the bike is $96.15

Answer:

1. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?    $ 96.15

2. If the bike is discounted by 20%, how much will Andre pay (before tax)?  

                        $ 100

                                     I hope this helped <33 !

What can you say about the two figures

A.The two figures are congruent but not similar.


B.The two figures are not similar or congruent.


C.The two figures are similar and congruent.


D.The two figures are similar but not congruent.

Answers

The answer would be letter D!

hope this helps!! pls also mark me brainliest if you can :)) i am trying to level up. thank you!!

Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1

Answers

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

The answer has to be a proper fraction a integer or a mixed number.

Answers

Step-by-step explanation:

Number of bushels after 5 days

= 120 - 5(16.75)

= 36.25 = 36 1/4 bushels.

anyone good at solving rational zeros ​

Answers

Answer:

I am what's your question?

Step-by-step explanation:



Is (4,3) a solution of the graphed inequality?

Answers

Yes, since it doesn't show a line going through (positive) (4,3) and yet is unequal.

2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*

Answers

Answer:

3/5 cups of sugar

Step-by-step explanation:

If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.

Answer:

3/5 cup of sugar good luck

Which three statements are true about the correlation shown by this scatter plot?
A. The correlation coefficient is approximately 0.96
B. The line of best fit can be used to make accurate predictions from the data.
C. The correlation coefficient is approximately 0.33.
D. The correlation coefficient indicates a strong positive correlation.
E. The line of best fit cannot be used to make accurate predictions from the data
F. The correlation coefficient indicates a weak positive correlation.

Answers

Answer:

A,C nd E

Step-by-step explanation:

The three statements are true about the correlation shown by this scatter plot are;

A. The correlation coefficient is approximately 0.96

C. The correlation coefficient is approximately 0.33.

E. The line of best fit cannot be used to make accurate predictions from the data

What is correlation?

Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

The correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

We can conclude that the correlation coefficient is approximately 0.96

The correlation coefficient is approximately 0.33.

The line of best fit can't be used to make accurate predictions from the data

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Pls help!!
Pythagorean Theorem
Find the missing side of the triangle! Write down the missing side and what type of triangle it is!

Answers

Answer:

1.) isosceles triangle x=11.3

2.) scalene triangle   x=14.1

3.) isosceles triangle  x=6.02

4.) isosceles triangle   x=15

5.) scalene triangle   x=12

Step-by-step explanation:

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