solve for a 7a - 2b =5a + b​

Answer:

6.2

Step-by-step explanation:

the real answer is 6.24896, but its rounding to the nearest tenth.

Answer:

x = 21

Step-by-step explanation:

3x - 71 = 2x - 50

3x - 2x = -50 + 71

x = 21

Check:

3(21) - 71 = 2(21) - 50

63 - 71 = 42 - 50

-8 = -8

Can I get brainliest

Answer: [tex]x=21[/tex]

Subtract 2x from both sides

[tex]3x-1-2x=2x-50-2x\\x-71=-50[/tex]

Add 71 to both sides

[tex]x-71+71=-50+71\\x=21[/tex]

Answer:

314.16 : 100

Step-by-step explanation:

brainliest?

Answer: about 1:8

Step-by-step explanation: volume of the cone is about 314.16 and the volume of the square pyramid is about 2500 and 314.16 is about 314

314/2500 = .1256 or .125 = 1/8

Answer:

17000 batteries

Step-by-step explanation:

Three years and one month is equivalent to the mean minus one standard deviation.

Three years and seven months is equivalent to the mean plus one standard deviation.

For a normal distribution, we know that 68% of population is between mean ± 1 sd, then can be expected that 25000*68% = 17000 of batteries last between three years and one month and three years and seven months

Answer:

[tex]P(t)=37\cdot 4^{t/9.1}[/tex]

Step-by-step explanation:

The number of people who receive the email increases by a factor of 4 every 9.1 weeks.

This is an exponential growth of the form:

[tex]A=A_o(r)^{t/k}[/tex]

Where:

[tex]A_o =$Initial value\\r=Growth rate\\k=Growth Period\\t=time[/tex]

In this case:

[tex]A_o =37\\r=4\\k=9.1\:weeks[/tex]

Therefore at any time t, the function describing this scenario is:

[tex]P(t)=37\cdot 4^{t/9.1}[/tex] where t is in weeks.

Answer:

60%

Step-by-step explanation:

(9/15)*100=60

The percentage of the children take the bus to school will be 60%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

There are 9 children in a class who take the bus to school.

And, There are 15 total children in the class.

Now,

Since, Total children in class = 15

And, There are 9 children in a class who take the bus to school.

So, The percentage of the children take the bus to school will be calculated as;

Percent = (Children to take bus to school / Total children) x 100

            = (9 / 15) x 100

            = 60%

Thus, The percentage of the children take the bus to school will be 60%.

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To find the equation of the line through (-2, 2) and (5, -5), calculate the slope which is -1 and then use the slope-intercept form to find the y-intercept, which is 0. The equation of the line is y = -x.

To write an equation of the line that passes through the points (-2, 2) and (5, -5), you need to determine the slope and the y-intercept of the line. First, calculate the slope (m) which is the change in y divided by the change in x: m = (y2 - y1) / (x2 - x1).

Using the points (-2, 2) and (5, -5), the slope calculation would be: m = (-5 - 2) / (5 - (-2)) = (-7) / (7) = -1. This indicates that the line has a negative slope.

Next, use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. To find b, use one of the given points and the slope you calculated: 2 = (-1)(-2) + b, which simplifies to 2 = 2 + b, and thus b = 0.

The equation of the line is therefore y = -1x + 0, which simplifies to y = -x.

Answer:

Step-by-step explanation:100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000$

Final answer:

The correct width of Tamara's backyard is calculated by dividing the area by the length, resulting in a width of 2/15 miles.

Explanation:

The student's question involves setting up an equation to find the width of a rectangular backyard given its length and area. To find the width, we use the formula for the area of a rectangle, which is Length × Width = Area. Tamara's backyard has a length of 5/2 miles and an area of 3/9 square miles. Setting up the equation correctly, we have:

(5/2 miles) × Width = 3/9 square miles

To find the width, we divide both sides of the equation by the length:

Width = (3/9 square miles) / (5/2 miles)

After simplification, which we can do by multiplying by the reciprocal of 5/2, we get:

Width = (3/9) × (2/5) miles

Width = (3 × 2) / (9 × 5) miles

Width = 6/45 miles

After further simplification:

Width = 2/15 miles

Therefore, the correct width of Tamara's backyard is 2/15 miles.

Answer:

Step-by-step explanation:

assuming that x2 = x², then the equation is y= x²-18

y= x²-18

y-18=x²

[tex]\sqrt{y-18}=\sqrt{x^{2} }[/tex]

[tex]\sqrt{y-18}= x\\[/tex]

so x = [tex]\sqrt{y-18\\}[/tex]

Answer:

3/6

Step-by-step explanation:

you keep replacing them

Answer: Arthur Stanley Eddington's 1919 expedition confirmed Einstein's prediction for the deflection of light by the Sun during the total solar eclipse of 29 May 1919 which helped to cement the status of general relativity as a true theory. Since then many observations have confirmed the correctness of general relativity.

Hope this helps. Also gimme brainliest.

Answer:

x=6

Step-by-step explanation:

hope this helps:)

Answer:

It depends. If x is part of the denominator, then x=1/6. If it is x/2, x=6

Step-by-step explanation:

1/(1/3)=3

1/3*1/2=1/6

x/2=3

2*3=6

Answer:

the anser is 40.0000001

Answer:

A = 8   B = -2   C = -3

Step-by-step explanation:

The standard form for a quadratic equations is

Ax^2 + Bx +C =0

8x2 - 2x-3=0

A = 8   B = -2   C = -3

Answer:

1.-19

2.-9

3. 15

Step-by-step explanation:

-10-9=-19

7-16=-9

5+4+3+2+1=15

Answer:

[tex]3^{b-a}[/tex]

hope this helped!

Answer:

76

Step-by-step explanation:

Every angle times 20 and add it all up

Answer:

1246 yards

Step-by-step explanation:

To find the yard of fencing she needs for he cows, we simply need to find the perimeter of the rectangular area.

The area is 200 yards by 423 yards.

The perimeter is the sum of all the sides of a rectangle and it is given by:

P = 2(L + B)

P = 2(200 + 423) = 2(623)

P = 1246 yards.

She needs 1246 yards of fencing.

(y^3)^2 * y^7

=y^13

the other answer missinterpreted the question, but seriously next time when there is an exponent signify it with "^"

Answer:  30.5 cm²

To get the the area of the rectangle all we have to do is:

Rectangle Area = 6 × 8 = 48 cm²

Same thing to the circle, multiply the radius and pi:

Circle Area = 3.14 x 5² = 78.5 cm²

We have to subtract the two areas to find the shaded area.

78.5 - 48 = 30.5 cm²

I hope this helps!

Answer: 30.5 cm².

I just took the test and plus it makes sense

Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, [tex]L_f[/tex], of ice

Hence, the mass, m, of the ice = 15,000 g

Latent heat of fusion, [tex]L_f[/tex], of ice = 333 J/g

Therefore;

Energy required = 15,000 g × 333 J/g = 4995000 J

Hence;

The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J

1000 J = 1 kJ

1 J = 1/1000 kJ

Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.

Which gives;

The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.

Answer:

No, since the total distance to the cell tower is 16.28 miles, which is farther away than the distance needed to get the best possible service. You are 1.28 miles too far.

Step-by-step explanation:

you have a triangle with sides 12 miles and 11 miles long, so all you need to do is calculate the hypotenuse:

h² = 12² + 11²

h² = 144 + 121

h² = 265

h = √265

h = 16.28 miles

Answer:D,180

Step-by-step explanation:

Answer:

9 x 20ft = 180

If one of those values 8ft and 20ft is the diagonal then we deduct the square of thise numbers being  √400 -   √81 =  √309 and find  √309 square of  17.57ft

17.57 x 9 = 158.13

so  √158.12 = 12.57

and  √162 = 12.72

But your question was just a case of finding how to do area and for that we use L x W to find area

A = 9 x 20 = 180ft^2

Step-by-step explanation:

Step-by-step explanation:

It is given that,

The diameter of a tennis ball is 2 cm and the diameter of the softball is 1 cm. So, radius of tennis ball is 1 cm and radius of softball is 0.5 cm.

Both balls are in the shape of sphere. Half of the balls will becomes hemisphere. The surface area of hemisphere is given by :

[tex]A=2\pi r^2[/tex]

Taking ratio of both balls, i.e.

[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}[/tex]

[tex]\dfrac{A_t}{A_s}=\dfrac{r_t^2}{r_s^2}\\\\\dfrac{A_t}{A_s}=\dfrac{1^2}{(0.5)^2}\\\\\dfrac{A_t}{A_s}=4[/tex]

So, the surface area of a half of the tennis ball is 4 times of he surface area of a half of the softball.

The surface area of half of a tennis ball is 4 times greater than the surface area of half of a softball.

To find how many times greater the surface area of half of a tennis ball to that of half of a softball is, we need to use the formula for the surface area of a sphere: Surface Area = 4πr².

Since we are dealing with half-spheres, we can halve this formula, so the surface area of the half-sphere is 2πr².

First, we calculate the surface area for half of a tennis ball. The radius of the tennis ball is 2 cm / 2 = 1 cm. Thus, the surface area is:

Surface Area of Tennis Ball Half-Sphere = 2π(1)² = 2π cm²

Next, we do the same for the softball. The radius of the softball is 1 cm / 2 = 0.5 cm. Therefore, the surface area of half of the softball is:

Surface Area of Softball Half-Sphere = 2π(0.5)² = 0.5π cm²

To find the ratio of the tennis ball surface area to the softball surface area, we divide the two results:

(2π) / (0.5π) = 4

Thus, the surface area of half of a tennis ball is 4 times greater than that of half of a softball.

Answer:

they should buy the smaller one. the yogurt will cost money too. that is why other companys put ice, or empty spaces in cups.

Step-by-step explanation:

The soccer club should choose either Container A or Container B, as both options would generate the same profit of $1.00 per container sold, assuming the cost price is $1.50 and the selling price is $2.50.

To determine which container is more profitable, we need to calculate the profit from each option. For both containers, the selling price is $2.50.

Let's assume the cost of each container is $1.50, which includes the frozen yogurt, packaging, and other associated costs.

Container A Profit:

Selling Price: $2.50

Cost Price: $1.50

Profit per Container: $2.50 - $1.50 = $1.00

Container B Profit:

Selling Price: $2.50

Cost Price: $1.50

Profit per Container: $2.50 - $1.50 = $1.00

As we can see, both Container A and Container B would yield the same profit of $1.00 per container, given the assumed cost price and selling price.

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Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube  Length. L =  Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = [tex]\frac{4}{3} \pi r^3[/tex]

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = [tex]\frac{4}{3} \times \pi \times 7^3 = 1436.76 \ in^3[/tex]

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

Answer:

8.72 x 10^-2

Step-by-step explanation:

Answer:

Airline tickets

Step-by-step explanation:

The other three could be considered important. Your dream vacation may seem important to you, but is something you should only do if you can pay for it. Never go in debt for it.

While loans can be beneficial for purchasing items that generate a return or are necessary, such as a house, car, or higher education, it's generally unwise to take out a loan for things like vacations, which do not provide a return on investment.

While it can be tempting to use a loan for many things, there are certain items that are typically seen as poor investments. A house, car, and higher education tuition are often considered acceptable things to take out a loan for, as they can provide a return on your investment and can be seen as necessary for longer term wealth-building. On the other hand, an airline ticket for a vacation is generally not a recommended use for a loan.

The primary reason being that it is not an investment that will appreciate in value or generate income. In fact, it's a depreciating asset because once you've taken the vacation, you have nothing to show for your money, except for the experience and memories. Additionally, taking a loan for such purposes might lead to a situation where you may struggle to repay the debt once you are back from vacation, which can lead to cascading debts and bad credit.

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