Share £90 in the ratio 1:5
HELP ME PLEASE

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

Answer:

To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.

Step-by-step explanation:

Answer:

[tex]x = \frac{y + 2}{3} [/tex]

Step-by-step explanation:

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

hope this helps

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Answer:

The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%

Step-by-step explanation:

The probability of scoring a touchdown in one game for the football player = 39% = 0.39

Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)

Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.

Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39

Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521

If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%

Hope this Helps!!

Answer:

1/3

Step-by-step explanation:

3×x=1

x= 1/3

Answer:

500 /3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is  

r =d/2 =10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

  = 4/3 pi (5)^3

  = 500 /3 pi cm^3

Answer:

Your correct answer is 500/3 cm^3

I will show you how and tell you why it is 500/3 cm^3 down below:

Explanation:

The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

r = d/2 = 10/2 = 5 cm

and right here I will show you the volume of the sphere:

v = 4/3 r^3

= 4/3 (5)^3

= 500/3 cm^3

Showing these results, you can see that the answer is 500 /3 cm^3

Answer:

(a) ratio of all books to new books is   17 : 8  

or in quotient form: 17/8

(b) ratio of all books to used books is  17 : 9

or in quotient form: 17/9

Step-by-step explanation:

Number of new books = 8

Number of used books =  9

Total number of books = 17

Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:

a : b

which can also be translated to the quotient expression: a/b

Then the requested ratio of

(a) all books to new books is   17 : 8  

or in quotient form: 17/8

(b) all books to used books is  17 : 9

or in quotient form: 17/9

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

Learn more about speed at https://brainly.com/question/4931057

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Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

Where [tex]b[/tex] is the y-intercept.

[tex]y=3x+5[/tex]

[tex]b=5[/tex]

Answer:

-3 is the slope

5 is the intercept

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

Answer:

Step-by-step explanation:

Answer:

[tex] (2x - 3)(x - 5) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

For any triangle, the three angles always add to 180

(y+10)+(2y)+(50) = 180

3y+60 = 180 ... combine like terms

3y+60-60 = 180-60 ... subtract 60 from both sides

3y = 120

3y/3 = 120/3 .... divide both sides by 3

y = 40

Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

Required

What steps should be taken to complete the conversion?

The first step is to cancel out equal units;

Kilometre(s) will cancel out Kilometre(s)

Mile(s) will cancel out Miles

And we'll be left with metres

This is shown below

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]

[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]

The next step is to perform all multiplications

[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]

[tex]\frac{12,880\ metres}{1} =[/tex]

[tex]12,880\ metres[/tex]

Answer:

10 inches

Step-by-step explanation:

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Answer:

The answer is D.

Step-by-step explanation:

You have to divide it by 2 :

∠RST = ∠ROT ÷ 2

= 46° ÷ 2

= 23°

O represents the centre of circle.

(Correct me if I am wrong)

Answer:

D. 23°

Step-by-step explanation:

The measure of central angle is twice the angle of circumference lying on the same arc. So,

<RT = 2(<RST)

<RST = <RT/2

<RST = 46/2

<RST = 23°

Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Answer:

0.46 newtons

Step-by-step explanation:

For these kinds of problems, you can employ the formula

[tex]E=\dfrac{F}{q}[/tex]

where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:

[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]

[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)

Hope this helps!

Answer:

your answer is 1.50 E4 N/C

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Step-by-step explanation:

Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.

I attached a picture of some of the missing values. That should help a little with visualizing.

Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.

The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.

Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.

Now you can make your surface area equation:

[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]

The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.

[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]

If there's anything you need me to explain further, feel free to comment :)

Answer:

[tex]SA=613.5m^2[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

The Value of 9a+6b is 27. and the value of 4x+3y is 30.

Explanation

1)

3a+2b=9

multiplying both by side by 3

or, 3×( 3a+2b)=3×9

Hence, 9a+6b=27

2)

8x+6y=60

Dividing both by side by 2

or, (8x+6y)/2 = 60/2

Hence, 4x+3y=30

Answer:

5

Step-by-step explanation:

The square root of a number is basically that number multiplied by itself.

for example, the square root of 4 is 2 because 2 x 2 is 4

the square root of 25 is 5 because 5 x 5 = 25

Answer:

root 25 = 5

Step-by-step explanation:

because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .

please mark my answer as a brainliest answer and follow me

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Since we already know an angle and a safe are equal we just need one more pair of corresponding angles

Answer:

the fourth one.

Step-by-step explanation:

that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.

Answer:

secondary consumers:  foxes, owls, and snakes. Wolves, crows, and hawks

carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.

omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice

hope this helped!

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]

[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]

The y value achieves its minimum at x = 4/3

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

Answer:

D) [tex]Y = 1.03(2.93^x)[/tex]

Step-by-step explanation:

To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.

x: 1 2 3 4 5 6

y: 3 8 27 85 240 570

A. Y = 2.93([tex]1.03^x[/tex])

Substituting x = 1 to get

Y = 2.93(1.03) ≅ 3

Substituting x = 2 to get

Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1

Option A is wrong

B. Y = 38.73x² – 168.58x + 158.1

Substituting x = 1 to get:

Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25

Therefore option B is wrong

C. Y = [tex]102.54^x - 203.4[/tex]

Substituting x = 1 to get:

Y = 102.54 – 203.4 = -100.86

D) [tex]Y = 1.03(2.93^x)[/tex]

Substituting x = 1 to get:

[tex]Y = 1.03(2.93^1)=3[/tex]

Substituting x = 2 to get:

[tex]Y = 1.03(2.93^2)=8.84[/tex]

Substituting x = 3 to get:

[tex]Y = 1.03(2.93^3)=25.9[/tex]

Option D is the closest, it is the correct option