Last year, Yuri earned $51,790 and spent $52,510. Select all the correct statements about Yuri's budget. A Yuri was in debt by the end of that year. B Negative numbers should represent Yuri's earnings and spending. C A positive number should represent Yuri's earnings. D A negative number should represent Yuri's spending. E Yuri was able to save some money by the end of that year.​

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

(18a + 43) is an equivalent expression for the given expression i.e.

4(3a + 7) + 3(2a + 5).

Yes, the answers are same from both the expressions i.e. 133.

Given, an expression i.e. 4(3a + 7) + 3(2a + 5)

Now, we are asked to find an equivalent expression for the given expression.

So, on simplifying the given expression, we get

4(3a + 7) + 3(2a + 5)

12a + 28 + 6a + 15

12a + 6a + 28 + 15

18a + 43

So, (18a + 43) is an equivalent expression for the given expression i.e.

4(3a + 7) + 3(2a + 5)

Now, On putting the value of a = 5 in both the expressions, we get

4(3(5) + 7) + 3(2(5) + 5)

= 4(15 + 7) + 3(10 + 5)

= 4(22) + 3(15)

= 88 + 45

= 133

also in (18a + 43),

= 18(5) + 43

= 90 + 43

= 133.

Hence, (18a + 43) is an equivalent expression for the given expression i.e.

4(3a + 7) + 3(2a + 5).

Yes, the answers are same from both the expressions i.e. 133.

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Answer:

b=10cm²

Step-by-step explanation:

4inx5in=20

20/2=10cm²

Let me know if this helps

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

Remember that from the definition of modulus we have

Therefore, it's always a positive value!

If we have

The values of x are

Because

Therefore, the graph of that solution would be a CLOSED circle on the -2 and a CLOSED circle on the 2, we always use a closed circle to represent a solution.

Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

Answer: 0.49

Step-by-step explanation:

The mean= E[x]=1/l= 7.5 min

l=1/7.5 =10/75=2/15

The exponential distribution's  probability density function is looking like that:

F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)

P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49

Answer:

i. The heliocentric theory is published.

ii. The scientific method is developed.

iii. Galileo argues for Copernicus.

iv. Isaac Newton develops calculus.

Answer:

256, 8192

{This is an educated guess}

Step-by-step explanation:

The problem seems to be a variation of the Fibonacci sequence: 1, 1, 2, 3, 5, 8...

1 ⇒ 2: 1*2

2 ⇒ 2: 2*1

2 ⇒ 4: 2*2

4⇒8:4*2

8⇒32:8*4

32⇒256: 32*8

256*32 = 8192

Area of the base shape is 30 cm². Height of solid is 4 cm. Volume of solid is 120 cm³.

This figure is a triangular prism. First, we have to calculate the area of the base of the prism. Area of the base is an equilateral triangle and it has its base of 5 cm and height of 12 cm.

Area of triangle = 1/2 × base × height

= 1/2 × 5 × 12

= 5 × 6

= 30 cm²

Area of base = area of triangle = 30 cm²

Now, the height of the prism can be seen as clearly 4cm.

Lastly, we have to calculate the volume of the prism.

Volume of the prism = Area of base × height of prism

Volume of the prism = 30 × 4

Volume of the prism = 120 cm²

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9514 1404 393

Answer:

  13.3 m

Step-by-step explanation:

Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...

  A = LW

  83 = (d -2)(d -6) = d² -8d +12

  71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way

  d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square

  (d -4)² = 87 . . . . . . . write as a square

  d -4 = √87 . . . . . . . positive square root

  d = 4 +√87 ≈ 13.3 . . . . add 4

The diagonal is about 13.3 meters long.

_____

Additional comment

If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. The geometry described here is impossible. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².

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Answer =   \(\boxed {x - 2}\)

\(3x +1(2x-1)2-1(6x)\)

= \(\boxed {3x + 1 . ( 2x - 1 ) . 2 - 1 (6x) = x - 2}\)

Steps :

\(3x + 1 . (2x - 1) . 2 - 1 . (6x)\)

Remove the parentheses : \((a) = a\)

\(= 3x + 1 * (2x- 1) * 2 - 1 * 6x\)

Multiply the numbers : \(1 * 2 = 2\)

\(= 3x + 2 ( 2x - 1 ) * 6x\)

Multiply the numbers : \(1 * 6 = 6\)

\(= 3x + 2 ( 2x - 1 ) -6x\)

Expand: \(2 (2x - 1) : 4x - 2\)

\(2 ( 2x - 1 )\)

Apply the distributive law : \(a (b - c) = ab - ac\)

\(a = 2, b = 2x, c = 1 \\= 2 * 2x - 2 * 1\)

Simplify \(2 * 2x - 2 * 1 : 4x - 2\)

= \(= 4x - 2\)

\(= 3x + 4x - 2 - 6x\)

Simplify \(3x + 4x - 2 - 6x : x - 2\)

= \(x - 2\)

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Have a great day/night!

❀*May*❀

The number of sheep originally on the farm will be equal to 200.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from.

Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Let the number of animals originally at the farm is x.

60% of the animals are cows.

So, 0.6x are cows.

If there are 60% cows, then there are 40% of sheep.

So, 0.4x are sheep.

The quantity of sheep multiplies when many cows and sheep were introduced to the property.

As a result, the farm now has the same amount of sheep that it did before.

Number of sheep added = 0.4x

There are total 260 animals added to the farm.

So,

Number of sheep added = 260-0.4x

Total number of animals = x + 260

The percentage of cows increased to 20%.

Initial number of cows at farm + cows added = Initial number of cows at farm + 20% of the total cows initially at the farm.

0.6x + (260-0.4x) = 0.6x + 0.2(0.6x)

0.6x+260-0.4x = 0.6x+0.12x

0.2x+260 = 0.6x+0.12x

0.2x+260 = 0.72x

260 = 0.52x

x = 260/0.52

x = 500

Thus, the farm's initial animal population was 500.

0.6x = the amount of cows that were first on the farm= 0.6(500) = 300 cows

0.4x = the amount of sheep that were initially on the farm = 0.4(500) = 200 sheep

0.4x = Sheep added = 200

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The equation of the line is y = (3/2)x - 1/2.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).

Now,

The equation of a line.

y = mx + c

The line passes through points (3, 4) and (5, 7).

m = (7 - 4) / (5 - 3)

m = 3/2

Slope = 3/2 _____(1)

Now,

(3, 4) = (x, y)

4 = 3/2 x 3 + c

4 = 9/2 + c

c = 4 - 9/2

c = (8 - 9) / 2

c = -1/2

y-intercept = -1/2 ____(2)

Now,

y = mx + c

From (1) and (2),

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

Thus,

The equation of the line is y = (3/2)x - 1/2.

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The complete question.

Find the equation of a line that [passes through the point (2, 4), and (5, 7).

Answer:

you will need at least a 94 on your final project

Step-by-step explanation:

hope it helps!

Based on the survey results, the proportion of people who took a trip that included a visit to a theme park is 167/1655 = 0.101. This means that approximately 10.1% of the people who took a trip included a visit to a theme park.

It is not clear what the management consultant is trying to do with this information. However, the proportion of people who took a trip that included a visit to a theme park can be used as a measure of the popularity of theme parks as a vacation destination.

It could also be used to estimate the demand for theme park tickets or to develop marketing strategies for theme parks.

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Answer:

nickels- 5, quarters- 11

Step-by-step explanation:

nickel= 5 p,  quarter= 25 p

5x+25(x+6)= 300

30x+150=300

30x=150

x=150/30

x=5 nickels

x+6= 11 quarters

Answer:

75 buses needed

Step-by-step explanation:

3,600 people /  each bus holds 48 people = 75

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

0.0018

Step-by-step explanation:

P(z>2.88)=1-0.9980= 0.0018

Answer:

Option (a)

Step-by-step explanation:

\(\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}\)

Answer:

Step-by-step explanation:

First, Multiply 25 dollars by 7/10 and you get your answer. Then, you simplify it and then you get your answer!

The vector in component form whose tail is the point (−1,5), and whose head is the point (8,−6) is (-9, 11)

A vector is a physical quabntity thet has both magnitude and direction.

To find  the component form of the vector whose tail is the point (−1,5), and whose head is the point (8,−6), we proceed as folows

Since we have the points (-1, 5) and (8, -6) and we want the head to be at (8, -6),

Let A = (8, -6) and B = (-1, 5)

So, AB = B - A

= (-1, 5) - (8, -6)

= (-1 - 8), (5 - (-6))

= (-9, 5 + 6)

= (-9, 11)

So, the vector in component form is (-9, 11)

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Answer:

Step-by-step explanation:

1 farmer is able to harvest 300 kg of potatoes in 5 hrs

Then

1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs

therefore,

3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs

Answer:

The answer to you question is D or the last one.

Step-by-step explanation:

I took the test on Edg

The equation that represent this situation is (3/5) * b = 79.50

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.

For a labor of $79.50

(3/5) * b = 79.50

The equation that represent this situation is (3/5) * b = 79.50

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Answer:

y = 2x + 5

Step-by-step explanation:

Answer:

3 ounces of water per ounce of juice mix

Step-by-step explanation:

36/12=3