What does -2 - 10 equal to?​

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Using the formula

[tex]a_4=a+3d=4+3d[/tex]

[tex]a_{10}=a+9d=4+9d[/tex]

According to question

We know that

For G.P

[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio

[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex](4+3d)^2=\frac{4}{4+3d}[/tex]

[tex]16+9d^2+24d=16+36d[/tex]

[tex]9d^2+24d-36d-16+16=0[/tex]

[tex]9d^2-12d=0[/tex]

[tex]3d(3d-4)=0[/tex]

[tex]d=0, d=4/3[/tex]

Substitute the value of d

When d=0

[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]

When d=4/3

[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Using the formula

Substitute n=6 and d=1/2

[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]

[tex]S_6=31.5[/tex]

Answer:

5

Step-by-step explanation:

Answer:

first on the slope is 3 and y intercept is 0,-1

second on the slope is 3 and y intercept 0,2

Step-by-step explanation:

Answer:

The answer to number 9 is: 148.16

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

===========================================

Explanation:

Let's apply the slope formula

m = (y2-y1)/(x2-x1)

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

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

Answer:

35/8; 5 2/8

Step-by-step explanation:

7/8 × 5 = 35/8

35/8 should be simplified down to 5 and 2/8th tanks

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12

Answer:

600

Step-by-step explanation:

Volume big cuboid=100×60×40=240000cm³

Volume small cuboid=5×8×10=400

Number of small cuboids that can fit= 240000/400=600

Answer:

14 blocks

Step-by-step explanation:

Answer:

The question is unclear. what is e?

Answer:

the answer is x= 5 and y = 1.5

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

★ From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

★ In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

★ Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

Answer:

98.6 Fahrenheit

Step-by-step explanation:

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

a=

Step-by-step explanation:

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

[tex]V = \pi r^2h[/tex]

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

Answer:

D is the right answer

Step-by-step explanation:

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

Learn more about system of equations:

https://brainly.com/question/1995493

https://brainly.com/question/3291576

https://brainly.com/question/7487907?referrer=searchResults

Step-by-step explanation:

the one on the left (b)

y= mx+b

at x= 0 y = -2

then b= -2

at x= -1 y= 1

1= -m -2

m= -3

y= -3x -2

......

the one on the right side (d)

at x= 2 y = 1

at x= 4 y = 2

1= 2m+b

2= 4m +b

subtract

1= 2m

m= 1/2

y= 1/2 x

Answer:

Step-by-step explanation:

In this scenario, the variable x represents the total number of apples that Alex has eaten. Since Carlos has eaten half as many apples as Alex this would be represented as 0.5 and is why it is being multiplied by the variable x. The 2 in this scenario represents the tangerines that Carlos has also eaten, while the 4 represents the total number of fruits that Carlos has eaten.

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

39.5% of 373. is 147.336

Answer:

21/8 cups of vegetables per cup of cheese

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2

Answer:

I don't know but 4 could be it

Step-by-step explanation: