PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box

Answer:

£120 : £200

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 = 8 parts

Divide the amount by 8 to find the value of one part

£320 ÷ 8 = £40 , then

3 parts = 3 × £40 = £120

5 parts = 5 × £40 = £200

Then £320 in the ratio 3 : 5 is £120 : £200

The division of  £320 in the ratio of 3: 5 is £120: £200.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the amount of £320

Now,

The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.

So,

320/8 = 40

Now,

Multiply by 3 ⇒ 3 × 40 = 120

Multiply by 5 ⇒ 5 × 40 = 200

So ratio 120/200 = £120: £200.

Hence "The division of  £320 in the ratio of 3: 5 is £120: £200".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Answer:

5:7

Step-by-step explanation:

Answer:

The correct solution is "35440.8".

Step-by-step explanation:

The given values are:

Bigger tire's circumference,

= 103 inches

Factor installed tire's circumference,

= 95 inches

Odometer reading,

= 32,000 miles

As we know,

⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]

Where,

⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]

i.e.,

⇒ [tex]K=\frac{103}{95}[/tex]

On applying the formula,

⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]

⇒                                           [tex]=35440.8[/tex]

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

a) 94°

Step-by-step explanation:

shape is a 5-sided polygon, known as a pentagon

number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.

Therefore there are 540° altogether.

add all like terms for all five angles:  24x - 12 = 540

                                                             24x = 552

                                                               x = 23

m∡P = 4(23) = 2

         = 92 + 2

          = 94°

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer:

A

Step-by-step explanation:

The y intercept of the graph is at -3, meaning it can only be A or B.

Now that we've narrowed it down, look at the slope. When it comes to slope, it is rise/run. Meaning that if the slope is -4/3, you would go from a point on the line, down 4 spaces and to the right 3 spaces. If that was the slope, your end point would still be on the line.

Let's use the y intercept of (0, -3) as our start point. if you go down 4 spaces and right 3, that leaves you at (3, -7). But that point doesn't fit the line, so that can't be your slope.

This means your slope is -3/4, which if you checkit, does match up to the graph. Meaning the answer is A.

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Answer:

6^7

Step-by-step explanation:

The number 6 is being multiplied 7 times, so, the exponent would be 7. Hope this helps :)

6 to the 7th power I think

I think its C, cause I said so.

Answer:

[tex]54[/tex] feet

Step-by-step explanation:

Length of the flower bed [tex]=15[/tex] feet.

Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.

So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.

To find the length of the fencing, we need to find the perimeter of the flower bed.

Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]

So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.

Hence, [tex]54[/tex] feet of fencing is required for the flower bed.

Answer: let

Total number of those who took part in the survey (T) = 1300

Those were satisfied with the car(t)=910

Percentage of those who are satisfied (S)= (t/T)*100

S=(910/1300)*100

S=70%

Therefore 70% were satisfied

Step-by-step explanation:

Answer:

8:1

Step-by-step explanation:

Do 48/6 to find the ratio

Answer:

B

Step-by-step explanation:

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]

Hope this helps

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

the missing side is √65

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

√65 = √c^2

√65 = c

Answer:

1 cart = 125

2 cart = 135

3 cart = 145

4 cart = 155

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]).  For a line to be parallel to another, it must have the same slope.  The slope of the line given is 2/3.  Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex].  Then, because the line passes through -6, 6, plug those values in for x and y, respectively.  [tex]6=\frac{2}{3} *-6+b[/tex]

[tex]6=-4+b[/tex]

[tex]10=b[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A

Hope it helps :D

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think