Help please!!! 100 points

Answer:

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

Answer:

Hope this helps!!!!!!

Mark Brainlest!!!!!!!!!!

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Ratio = 1 : 3

Let Mark's share be 1x = x

and Henry's share be 3x

We know that Mark gets £9

So,

1x = x = £9

Then 3x = £(3 * 9) = £27

HENCE,

Mark's share = £9

Henry's share = £27

Total money = Mark's share + Henry's share = £9 + £27 = £36

Answer:

£27

Step-by-step explanation:

so it shows mark is 1 while Henry is 3

we know that Mark is 1/4 while Henry is 3/4

/4 because the total is 4 so whatever their ratio is over their total

so we do: 1 = 9

3 = ?

and then u cross multiply

3*9 = 27 ÷ 1 = 27

so Henry receives £27

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

Answer:O a=5,b= -4,0 = 9?

Step-by-step explanation:i am not sure if this is right

Answer:

Area of a Rectangle: l x w

2 x 3 = 6

Area of a Triangle:

[tex] \frac{b \times h}{2} [/tex]

The slanted height of the triangle is 2 and the base of the triangle is also 2 so

[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]

So to get the area of the figure you add the area of the rectangle plus the area of the triangle.

6+2=8

The area of the figure is 8 units square

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

If I am not mistaken, you should find

what times 2 plus 14 equals 60 which would be......

23

Answer:

20% off

Step-by-step explanation:

Divide:

72.8/364

Answer:

.20

Convert:

.20=20%

The shopkeeper giving 80% discount on the Christmas tree during the sale.

A discount is an amount that is subtracted from the regular price of an item.

[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]

According to the given question.

The marked price of the Christmas tree i.e. original price = $364.

The price of the Christmas tree on sale i.e. final price  = $72.80

So,

The discount given on the Christmas tree

= Original price - final price

= $364 - $72.80

= 291.2

Therefore,

Discount percent  = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]

Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.

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The unit rate is the amount of book copy made in a second

The table that represents the unit rate is table (b)

The interpretation of the diagram for making copies is:

Rate = 4 copies per second

This means that:

The table that represents this diagram must have a slope or rate of 4

From the list of options, the table (b) has a slope of 4.

This is calculated as:

Slope = Copies/Time

So, we have:

Slope = 40/10 = 4

Hence, the table that represents the unit rate is table (b)

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Answer:

86 cm

Step-by-step explanation:

parameter of the Pentagon

= the parameter of the square + the parameter of the

triangle

= 48 + 38

= 86

Answer:

is there a picture to answer?

Step-by-step explanation:

Answer:

black screen

Step-by-step explanation:

this is a black screen

Step-by-step explanation:

Answer:

11.42

Step-by-step explanation:

Here's how we know that  [tex]\sqrt37[/tex] is a little more than 6:

6 squared is 36.

7 squared is 49.

Since 37 is between 36 and 49, we know that  [tex]\sqrt{37}[/tex] must be between 6 and 7. In other words, [tex]\sqrt{37}[/tex] is a little more than 6.We can also see this visually by looking at a number line. If we plot the numbers from 6 to 7 on a number line, we can see that  [tex]\sqrt{37}[/tex] is somewhere between 6 and 7.

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SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

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Answer: 0.428

Step-by-step explanation:

[tex]\tan \theta=\frac{\text { side opposite to } \theta}{\text { side adjacent to } \theta}[/tex]

[tex]\begin{aligned}\tan \theta &=\frac{A B}{A C} \\\tan \theta &=\frac{6}{14} \\\tan \theta &=\mathbf{0 . 4 2 8}\end{aligned}[/tex]

Answer: 2

Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.

Answer:

it's 2.9 that's how. I get the qnswer

Answer:

b no.is the correct answer.

Answer: total books = 8k

Step-by-step explanation:

k = books on each shelf

total books = bookcases * shelves per bookcase * books per shelf (k)

total books = 1 * 8 * k

total books = 8k

Answer:

8k

Step-by-step explanation:

To find the total number of books, take the number of shelves and multiply by the number of books on each shelf

8*k

The total number of books is 8k

How far both planes travelled is an illustration of distance

Both planes are 510 km apart at 2 pm

The rates of the two planes are given as:

Plane A = 300km/h

Plane B = 45km/h

Calculate the difference (r) in their rates

r = 300km/h - 45km/h

This gives

r = 255km/h

At 2 pm, both planes have travelled for 2 hours.

So, the distance between them is:

d = 255 * 2

d = 510km

Hence, both planes are 510 km apart at 2 pm

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Answer:

8

Step-by-step explanation:

hope this is right????

im not sure if i did it correctly but i tryed

Answer:

(5,18)

Step-by-step explanation:

Plug in the X value into the Y equation,

Y=3(5) +3

Y=15 +3

Y=18

Then format your results as coordinates in the standard (X,Y) format

(X,Y)

(5,Y)

(5,18)

Answer: 52.4

Step-by-step explanation:

Answer:

π\3 ≈ 1.0 in²

Step-by-step explanation:

area of a full circle= 2πr = 2π(10) = 20π

central angle of full circle= 360°

area of the shaded region= ?

angle of shaded region= 60°

[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]

Step-by-step explanation:

1-(a)

2-(c)

3-(d)

4-(b)

I hope it helped you

If u didn't understand anything pls ask in comment

Answer:

A. y = -0.7x + 1.9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(8,12)=(x1, y1)

(1,3)=(X2, y2)

distance=√(x2-x1)^2+(y2-y1)^2

=√(1-8)^2+(3-12)^2

=√(49+81)

√130

=11.40

Answer:

D. Volume

Explanation:

Here the substance is soil and planter will hold the specific volume of soil.

The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

The difference formula in trignometry for the sine funciton is given as,

[tex]\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)[/tex]

The trignometric equation given in the problem is,

[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)[/tex]

Compare this equation with the above eqution, we get,

[tex]A=80^o\\B=20^o[/tex]

Thus, this equation can be written as,

[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}[/tex]

Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

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