Double a number decreased by 25.6 is equal to 90 Find the number

Answer: Solution: [tex]a=\dfrac{-19}{3}[/tex] and [tex]b=\dfrac{1}{3}[/tex] .

Step-by-step explanation:

The given pair of equations:

[tex]a-8b= -9\ ...(i)\\\\ a-2b= -7\ ...(ii)[/tex]

Eliminate equation (i) from (ii) , we get

[tex]-2b-(-8b)=-7-(-9)\\\\\Rightarrow\ -2b+8b=-7+9\\\\\Rightarrow\ 6b=2\\\\\Rightarrow\ b=\dfrac{1}{3}[/tex]

Put value of b in (ii) , we get

[tex]a-2\times\dfrac{1}{3}=-7\\\\\Rightarrow\ a=-7+\dfrac{2}{3}\\\\\Rightarrow\ a=\dfrac{-21+2}{3}\\\\\Rightarrow\ a=\dfrac{-19}{3}[/tex]

Solution: [tex]a=\dfrac{-19}{3}[/tex] and [tex]b=\dfrac{1}{3}[/tex] .

Answer:

y = x + 15

Step-by-step explanation:

My friend swims x minutes.

I swim 15 minutes more than my friends, so I swim x + 15 minutes.

I swim y minutes, so y equals x + 15

Answer: y = x + 15

Answer:

10.5 m²

Step-by-step explanation:

Given:

∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.

Required:

Area of the triangle

SOLUTION:

Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).

Where,

a = 4.7 m

b = 6.1 m

θ = 47°

Area = ½*4.7*6.1*sin(47)

Area = 10.5 m² (to the nearest tenth)

Answer:

25,070 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft.  ---------->>> then convert to gal.

                              6.2288 gal

vol = 4025 cu.ft. x ----------------- =  25,070 gal

                                 1 cu.ft.

Answer:

12x^2 -21x -6

Step-by-step explanation:

(3x-6)(4x+1)

FOIL

first 3x*4x= 12x^2

outer 3x*1 = 3x

inner -6*4x = -24x

last  -6*1 = -6

Add them together

12x^2 +3x -24x -6

Combine like terms

12x^2 -21x -6

Answer:

(-5 +/- i√59)/-6

Step-by-step explanation:

(-5 +/- √25-84)/2(-3)

(-5 +/- i√59)/-6

Answer:

x/16 the line means your dividing the x by 16

Step-by-step explanation:

Answer:

79°

Step-by-step explanation:

PQO is straight angle with measure of 180°

the given angles' sum makes 101° and we need 79 to complete it to 180° therefore the angle STQ = 79°

Hi there! Hopefully this helps!

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First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

Answer: 12

Hope this helps

Answer:

x can be any integer greater than 12.

Step-by-step explanation:

x + x + 1 + x + 2 > 40

3x + 3 > 40

3x > 37

x > 12 1/3

x can be any integer greater than 12.

The missing probability P(A∪B) will be 37/50.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given information;

P(A)= 7/20,

P(B)=3/5,

P(A∩B) =21/100 ,

We need to find the missing probability P(A∪B).

We know that

P(A∪B)= P(A) + P(B) + P(A∩B)

P(A∪B) = 7/20 + 3/5 + 21/100

P (A U B) = 37/50

Therefore, the missing probability P(A∪B) will be 37/50.

Learn more about probability here;

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Answer:

200 cubic centimeters is the answer :)

Step-by-step explanation:

c. Tu | MN and MN || PQ I am done with the interview

Answer:

The graph is not a function of x because the line x = 0 intersects the graph at two points.

Step-by-step explanation:

This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.

This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).

Answer:

A

Step-by-step explanation:

Answer:

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Step-by-step explanation:

For each point, draw a segment from it to the line y = -x and perpendicular to the line, and extend it the same distance to the other side of the line.

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Answer:

See attached

Step-by-step explanation:

13450 = 13000 + 400 + 50

Answer:

D

Step-by-step explanation:

just compare the augmented matrix to the possible answers and you will see it the option D

Answer:

that answer i already give in another page...

Answer:

trerjyhtrwgfdfeqrtgfnerwqdfgfgrqwefgn

Step-by-step explanation:

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

Answer:

40-b

Step-by-step explanation:

x is the unknown number

x+b = 40

We want to find x

Subtract b from each side

x+b-b = 40 -b

x = 40-b

The unknown number is 40-b

Answer:

[tex]\huge \boxed{40-b}[/tex]

Step-by-step explanation:

[tex]\sf Let \ x \ be \ that \ number.[/tex]

[tex]x+b=40[/tex]

[tex]\sf Solve \ for \ x.[/tex]

[tex]\sf Subtract \ b \ from \ both \ sides.[/tex]

[tex]x+b-b=40-b[/tex]

[tex]\sf Simplify \ the \ equation.[/tex]

[tex]x=40-b[/tex]

Answer:

$2.

Step-by-step explanation:

This is because the base price is $12, which means the constant is 12. The toppings are the only things you can add to the pizza, so the price of each additional topping is the slope of the pizza's cost. The slope is 2 dollars.

Hope this helps!

Answer:

2

Step-by-step explanation:

If we were to write a linear equation in slope-intercept form (y = mx + b where m = slope and b = y-intercept) of this situation, it would be y = 2x + 12 where y is the price and x is the number of toppings. This is because the price for every topping is 2x but the base price doesn't change, therefore it's a constant so it would be + 12. In this case, since m = slope, the slope is 2.

Answer: (1, −5)

Step-by-step explanation:

Plot the given inequalities on coordinate plane.

For y < −3x + 3, plot y =−3x + 3

At x=0,  y= 3

At y =0, 0=-3x+3

⇒ x= 1

so, plot points (0,3) and (1,0) and join to get y =−3x + 3, since inequality has '<' sign, so shade( in red) below line area and line should be dotted.

For  y < x + 2, plot  y = x + 2

At x=0,  y= 2

At y =0, x=-2

so, plot points (0,2) and (-2,0) and join to get y = x + 2, since inequality has '<' sign, so shade( in orange) below line area and line should be dotted.

Now, plot all given points (1, −5) (1, 5) (5, 1) (−1, 5), we can clearly observe that (1, −5) lies in the solution set.  (in common shaded region)

Answer:

The correct answer is 1, -5

Step-by-step explanation:

1/9

3 x 3 = 9 (since it is spun twice)

1/9

----------------------------------------------------------------------------

Answer:

1/9

Step-by-step explanation:

Probability of spinning a red =  1/3

Probability of spinning a yellow = 1/3

So Probability of getting red and then yellow = 1/3 x 1/3 = 1/9

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]

[tex](\frac{-2}{2},\frac{-6}{2})[/tex]

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

Please mark brainliest  

The product of the numbers in scientific notation is 4.16 × 10⁻⁵

Given data:

To calculate the product, we multiply the coefficients and add the exponents of 10:

(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 5.2 × 8.0 × 10⁻² × 10⁻⁴

Multiplying the coefficients:

5.2 × 8.0 = 41.6

Adding the exponents of 10:

10⁻²× 10⁻⁴ = 10^(-2 - 4) = 10⁻⁶

Putting it all together:

(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 41.6 × 10⁻⁶

Hence, the final answer in scientific notation is: 4.16 × 10⁻⁵

To learn more about scientific notation, refer:

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Answer:

82 degrees

Step-by-step explanation:

Measure of arc ABC = 86*2 = 172 degrees.

Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.

Measure of arc BCD = 121+43 = 164 degrees.

Measure of angle A = 164/2 = 82 degrees

Answer:

C(-11,-4)

Step-by-step explanation:

Answer:

18581.16

Step-by-step explanation:

The area of each of the shale can be calculated as

distance between each point = x

The area of the regular Dodecahedron

A = [tex]\sqrt[3]{25+10\sqrt{5} } a^{2}[/tex]

where a = number of edges = 30

hence the area of the regular dodecaheron = 18581.16

Answer:

Step-by-step explanation:

tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles.

Answer:

From the question asked the cost of additional 1/4 mile (1 3/4 - 1 1/2) is $0.45 ($1.7 - $1.25). If the rate is increased by 10% (0.1), the new price for an additional 1/4 mile would be 1.1 (1 + 0.1) × 0.45 = $0.495.

Tim new charge rate are as follows:

$1.25 for a delivery made within 1 1/2 miles

$1.745 for a delivery of at least 1 1/2 miles but less than 1 3/4

$2.24 or a delivery of at least 1 3/4 miles but less than 2

$2.735 or a delivery of at least 2 miles but less than 2 1/4

$3.23 or a delivery of at least 2 1/4 miles but less than 2 1/2

$3.725 or a delivery of at least 2 1/2 miles but less than 2 3/4

$4.22 or a delivery of at least 2 3/4 miles but less than 3

$4.715 or a delivery of at least 3 miles but less than 3 1/4

Since 3 1/8 is within 3 miles and 3 1/4 miles, Tim would charge $4.715 to deliver a package 3 1/8 miles.