The price of a jacket is £70
The price is to be reduced by 15%

How much will the price be reduced by?

Answer:

8 months and $320

Step-by-step explanation:

To find when 30m + 80 = 40m, isolate m.

30m + 80 = 40m

Subtract 40m from both sides.

-10m + 80 = 0

Subtract 80 from both sides.

-10m = -80

Divide both sides by -10

m = 8

To find the cost, substitute 8 as m in one of the equations.

40(8) = 320

Answer:

hope this helps

Step-by-step explanation:

31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385

Answer:

Its A let me know if im wrong!

Answer:

Fourth option is most suitable here.

Answer:

8 1/3 or 8.33 yards per second

Step-by-step explanation:

100/12 = 8 1/3

Answer:

A translation of 5 units to the right, followed by a reflection across the x axis.

Answer:

[tex] \frac{108}{2 } = 54[/tex]

The value of y for the given circle will be 54°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

In the given question by the circle theorem that if a curve makes a 2x angle then the extreme point will make the angle on circle as x.

So angle y = half of angle 108°

∠Y = 108°/2 = 54°

Angle w will also same as 54° because it also satisfies the theorem of the circle.

To learn more about the circle,

https://brainly.com/question/266951

#SPJ2

Answer:

37 inches

Step-by-step explanation:

to get 37 inches, you need to add 24 and 13. so 24+13 would equal 37.

Answer:

Taking 45 degree as reference angle

Then using sine rule

sin 45=

p/h

replacing the value of sin 45 degree by 1/root 2.so

1/root 2=9/c

doing cross multiplication

9*root 2=1*c

9 root 2 =c

therefore the value of c is 9 root 2

Step-by-step explanation:

The total mass of 5 x 10³ microorganisms is  1.2 x [tex]10^{-2}[/tex].

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Mass of an organism = 2.4 x [tex]10^{-6}[/tex] grams

The total mass of 5 x 10³ microorganism.

= 5 x 10³ x 2.4 x [tex]10^{-6}[/tex]

= 12.0 x [tex]10^{3 - 6}[/tex]

= 12 x [tex]10^{-3}[/tex]

= 1.2 x [tex]10^{-2}[/tex]

Thus,

The total mass is 1.2 x [tex]10^{-2}[/tex]

Learn more about expressions here:p

https://brainly.com/question/3118662

#SPJ2

Answer:

There is a little over 1 gallon

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

G8ve me more info and Ill answer again

Answer:

D. and F.

Step-by-step explanation:

Answer:

m=  1/2

y=1

Step-by-step explanation:

you go up 2 over 4 but you simplify it to 1/2

you then go to the first point for y intercept, which is 1 (because it follow the patteren)

Answer:

-|7|, |4|, |2-9|, |6+4|

Step-by-step explanation:

I think this is correct

Answer:

[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]

[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]

Step-by-step explanation:

we are given two coincident points

[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]

since they are coincident points

[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]

By order pair we obtain:

[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]

now we end up with a simultaneous equation as we have two variables

to figure out the simultaneous equation we can consider using substitution method

to do so, make a the subject of the equation.therefore from the second equation we acquire:

[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]

now substitute:

[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]

distribute:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]

collect like terms:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]

rearrange:

[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]

by Pythagorean theorem we obtain:

[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]

cancel 4 from both sides:

[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]

move right hand side expression to left hand side and change its sign:

[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]

factor out sin:

[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]

factor out 2:

[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]

group:

[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]

factor out -1:

[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]

divide both sides by -1:

[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]

by Zero product property we acquire:

[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]

divide both sides by 2:

[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]

by unit circle we get:

[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]

so when θ is 60° a is:

[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]

recall unit circle:

[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]

simplify which yields:

[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]

when θ is 300°

[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]

remember unit circle:

[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]

simplify which yields:

[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]

and we are done!

disclaimer: also refer the attachment I did it first before answering the question

Answer:

i don't know that language sorry

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

x(x+2) (x-5) -240

put that on a graph calculator and the x=8

x=8

x+2=10

x-5=3

Answer:

1.86

Step-by-step explanation:

Since decimals are the same as fractions, we can convert 4/5 to .80. And since "of" means multiply, we can convert .80 of 9.3 to:

.8 x 9.3 = 7.44

This is the amount of pears, so we subtract:

9.3 - 7.44 = 1.86

The weight of the apples is 1.86.

Answer:

The angle between the two blades is 120 degree.

Step-by-step explanation:

number of blades = 3

The blades are equally spaced.

The total angle around a circle is 360 degree.

So, the angle between the two blades is given by

[tex]\theta =\frac{360}{n}\\\theta =\frac{360}{3} = 120^{o}[/tex]

Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then

∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )

Answer:answer is 2.5v+5<5v A.k.a:A

Step-by-step explanation:

Answer:

The first ">" should be underlined in the equation.

..

The rules for solving inequalities are the same as those used for solving regular equations except for one important rule, that is, when you multiply both sides of an inequality by -1, the inequality sign reverses.

..

5-4x≥17

-4x≥12

-x≥3

Step-by-step explanation:

Answer:

hope it helps.

Answer:

Step-by-step explanation:

Use the volume of a sphere formula and then multiply it by .5 to get half of it, since a hemisphere is half of a sphere. Doing that gives us the formula:

[tex]V=\frac{4}{3}\pi r^3\frac{1}{2}[/tex] which simplifies to

[tex]V=\frac{2}{3}\pi r^3[/tex] . Now, filling in what we were given:

[tex]45729=\frac{2}{3}\pi r^3[/tex] which simplifies a bit to

[tex]137187=2\pi r^3[/tex]. We divide by 2π to get

[tex]2183.98918=r^3[/tex] and take the cubed root on your calculator to get that

r = 27.9"

[tex]Volume= 45729in^3\\\\[/tex]

[tex]Radius=r[/tex]

[tex]2/3\pi r^3=45729[/tex]

[tex]r^3=3*45729\\~~~~------\\~~~~~~2*3.14[/tex]

[tex]r^3=21845.06[/tex]

[tex]r=27.95~in[/tex]

hope it helps...

have a great day!!

Answer:

400 & 2

Step-by-step explanation:

Alright, so for the first question you do 14 + 6 which = 20 and if you do 20 × 20, it equals 400.

And for the second one 14 - 12= 2.

Answer:

I do believe that it is Option B

(Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.)

Step-by-step explanation:

This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.

In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct.

here, we have,

Given data in the question:

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75  

Alternative hypothesis H₁ : = < (75%) < 0.75

Now, sample proportion p" = 64 / 100 = 0.64

From the dot plot below,

we will determine the p-value for test { P(p" < 0.64)}

The number of times p"<0.64 in 150 simulations is 5

Therefore:

P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.

Learn more on p-value :

brainly.com/question/16437485

#SPJ3

complete question:

A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.

Answer:

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

Step-by-step explanation:

So first find the slope of the given line

-2 - 4 = -6

4 + 4 = 8

-6 ÷ 8 = [tex]-\frac{3}{4}[/tex]

The slope of a line perpendicular to another line is the opposite reciprocal of the given slope.

The opposite reciprocal of [tex]-\frac{3}{4}[/tex] is [tex]\frac{4}{3}[/tex]

So now all we need to finish the slope intercept form y = mx + b is b, which is the y intercept.

[tex]y=\frac{4}{3}x+b[/tex]

Now that they give us the X intercept, you can plug in the values (6, 0).

[tex]0=8+b[/tex]

b = -8

Answer:

x=0, y=-2

Step-by-step explanation:

6x0=0

2(-2)=-4

so, -4=-4 so it is determined true

Then 0-2(-2), -2(-2)=4

subtract 0 from 4 which is 4

so, 4=4, so it is determined true

Answer: 22 batches of chocolate chip cookies

Step-by-step explanation:

A batch of cookies can take 0.25 cups of sugar to make.

You instead have 5.50 cups of sugar.

The number of batches that can be made is:

= Total amount of sugar available / Amount of sugar required for one batch

= 5.50 / 0.25

= 22 batches of chocolate chip cookies