How to simplify this expression: 5-2(x+5)+2​

The cups of red paints for 1 yellow cup is 4/9 cups

From the question, we have the following parameters that can be used in our computation:

Red paint = 1/3 cups

Yellow paint = 3/4 cups

When these parameters are represented as ratio, we have the following expression

Ratio = Red : Yellow

This is then represented as

Red : Yellow = 1/3 : 3/4

When the number of yellow cups is 1, we have

Red = 1/3/3/4

Express as products

Red = 1/3 * 4/3

Evaluate

Red = 4/9

Hence, the red cups is 4/9 cups

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The percentage of last​ semester's college costs was spent on​ books is 10 %

A percentage is a ratio out of 100.

Since a student's cost for last semester at her community college was ​$2900 and she spent ​$290 of that on books.

The percentage spent on books is given by x = amount spent on books/student cost × 100 %

Given that

Substituting the values of the variables into the equation, we have

percentage spent on books x = amount spent on books/student cost × 100 %

= $290/$2900 × 100 %

= 1/10 × 100 %

= 10%

So, thus we see that the percentage that was spent is 0 %

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Step-by-step explanation:

the Hypotenuse (the inclined length of the staircase) of the right-angled triangle is the radius of an imaginary circle with the center at the vertex with the 64°.

then

11 = cos(64) × r

r = 11/cos(64) = 25.09289236...

and

x = sin(64) × r = sin(64) × 11/cos(64) = 11 × tan(64) =

= 22.55334226... ≈ 22.55

The convertion 40 square inches to square meters is  0.0258064 square meters.

You can convert a square inch measurement to a square metre measurement by multiplying the square inch measurement by 0.00064516. (the conversion factor). Here is the equation:

Square inch value divided by square metre value is 0.00064516.

Consider converting 40 square inches to square metres. Using the above conversion formula, you will obtain:

= 40 sq in * ( 2.54 cm / 1 in)² * (1 m/100cm)²

= 40 × 0.00064516

= 0.0258064 square meter.

Hence, convert 40 square inches to square meters is  0.0258064 square meters.

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Tanya's earnings for the last week of August is  $455.40.

Tanya's earnings for the last week of August is the sum of the amount earned for working regular hours and overtime.

Earnings = amount earned working regular hours + amount earned for working overtime

Amount earned working regular hours = number of hours worked x wage rate

Amount earned working regular hours =37.5 x 9.20 = $345

Amount earned for working overtime = wage per hour worked overtime x number of hours worked overtime

Wage rate for overtime = 1.5 x $9.20 = $13.80

Amount earned for working overtime = $13.80 x 8 = $110.40

Total earnings = $110.40 + 345 = $455.40

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Answer:$110

Step-by-step explanation:

$100x0.01x10

Answer:

44

Step-by-step explanation:

His percentage of change in the amount of quarts is 82.22%.

Initial amount of lemonade = 45 quart

End amount of lemonade = 8 quart

Change in amount = 45 - 8

                               = 36

Percent = [tex]\frac{change in value}{initial value}*100[/tex]

             = [tex]\frac{37}{45}*100[/tex]

             = 0.8222 * 100

             = 82.22%

Hence, his percentage of change is 82.22%.

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The given two triangles ΔQRS and ΔTUV are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Given: Two triangles ΔQRS and ΔTUV.

The angles of ΔQRS  are 28°, 76° and 76°.

The angles of ΔTUV are 28°, 76° and 76°.

So, the angles of given two triangles are congruent.

Now consider, the sides of the triangle.

The sides of ΔQRS are, 4, 4, 2 and

The sides of  ΔTUV are 12, 12, 6.

It seems that the sides of the triangle are in proportion.

Therefore, the given two triangles ΔQRS and ΔTUV are similar.

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Answer:

x=4

Step-by-step explanation:

Answer:

53 oranges.

Step-by-step explanation:

To find this, we must set up a proportionality formula.

6                   8

-        =          -

40                 x

Our goal is to find x.

First we cross multiply and get:

6x=320

Now we can divide each side by 6 to get x by itself.

x=53.33,

however, because you cannot have less than a whole orange in a box, each box contained 53.

Answer:

0.33=0.33

Step-by-step explanation:

it is answer 0.33=0.33

The profit when producing 204 units is $1,560.6

Cost of producing 200 units = $2958

Cost of producing 1 unit = $2958 / 200

= $ 14.79

Marginal cost of production = $9.2

Total cost per unit = cost of producing unit + Marginal cost

= $(14.79+9.2)

= $23.99

Cost incurred in producing 204 units = $(23.99 * 204)

= $4,893.96

Revenue from producing 200 unit,

R(q) = 6868

For each units, Revenue = R(q) / q

= 6868 / 200

= 34.34 dollars per cent

Revenue per unit is decreasing by $2.7

i.e., Final revenue = $(34.34 - 2.7)

= 31.64 dollars per cent

Final revenue for 204 units

= $(31.61 * 204)

= $ 6454.56

∴ Total profit from 204 units = R(q) - C(q)

= $(6454.56 - 4,893.96)

=$1,560.6

Hence, the profit when producing 204 units is $1,560.6

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The value of 199.65 rand was worth $24 and $29.11 was worth 243 rand with rounding off.

What is foreign currency exchange?

A global decentralized or over-the-counter market for trading currencies is known as the foreign exchange market. For every currency, exchange rates are set by this market.

Main body:

Given: 1 rand = $0.12

a) According to question ,

199.65 rand = 0.12* 199.65

                    = 23.948

Now rounding off to nearest hundred , we get

199.65 rand = $24

b) According to question,

$1 = 1/ 0.12

$29.11 = 29.11/ 0.12

          =242.5833333

Now rounding off to nearest hundred , we get

$29.11 = 243 rand.

Hence answer are $24 and 243 rand.

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There is 1/6 gallon of milk left in Leo's jug.

The step by step fraction subtraction are as follows:

The first step would be to deduct the 3/4 gallon of milk with 1/3 he uses to make the soup.

3/4 - 1/3 = (3x3)/(4x3) - (1x4)/(3x4) = 9/12 - 4/12 = 5/12

Then out of 5/12 gallon of milk left in the jug, he pours 1/4 of the remaining milk into a glass.

5/12 - 1/4 = 5/12 - (1x3)/(4x3) = 5/12 - 3/12 = 2/12 = (2÷2)/(12÷2) = 1/6

So Leo has 1/6 gallon of milk left in the jug.

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Answer: (1,4)

Step-by-step explanation:

The system of equations:

y=5x-1       (1)

y=x+3       (2)

Hence,

5x-1=x+3

5x-1-x=x+3-x

4x-1=3

4x-1+1=3+1

4x=4

Divide both parts of the equation by 4:

x=1

Substitute the value of x=1 into equation (2):

y=1+3

y=4

Thus, (1,4)

The line is:

y = 400*x + 2000

And the statements are:

The original purchase price of the computer is given by the y-intercept, which is $2,000

The change in the price of the computer is the slope, which is 400.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

Using the graph we can identify two points like:

(1, 1600) and (5, 0)

Then the slope is:

a = (0 - 1,600)/(5 - 1) = 400

And the y-intercept is 2,000, as we can see on the graph.

Then the line is:

y = 400*x + 2,000

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Answer:

-10

-7

-4

Step-by-step explanation:

287 = [tex]a_{1[/tex] + (n-1)3

287 = [tex]a_{1}[/tex]+ (100-1)3

287 = [tex]a_{1}[/tex] + 99(3)

287 = [tex]a_{1}[/tex] + 297  Subtract 297 from both sides

-10 = [tex]a_{1}[/tex]

If the first term is -10  The second term is 3 greater -7 and the third terms is 3 greater than that. -4

Answer:we need a better picture

Step-by-step explanation:I cant since my eyes are bad

Answer:

B.  37 cm²

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.5 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where $s$ is the side length.\\\end{minipage}}[/tex]

Given the side length of the square is 4 cm:

[tex]\begin{aligned}\implies \sf Area\;of\;the\;square&=4^2\\&=\sf 16\;cm^2\end{aligned}[/tex]

[tex]\boxed{\begin{minipage}{4.5 cm}\underline{Area of a semicircle}\\\\$A=\dfrac{1}{2}\pi r^2$\\\\where $r$ is the radius. \\\end{minipage}}[/tex]

The radius of a circle is half its diameter.

Given the diameter of the semicircles is 2 cm, then their radius is 1 cm.

[tex]\begin{aligned}\implies \textsf{Area of one semicircle}&= \sf \dfrac{1}{2} \pi (1)^2\\& = \sf \dfrac{1}{2} \pi \; cm^2\end{aligned}[/tex]

[tex]\boxed{\begin{minipage}{4.5 cm}\underline{Area of a trapezoid}\\\\$A=\dfrac{1}{2}(a+b)h$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the bases. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

Given the bases of the trapezoids are 2 cm and 4 cm, and their height is 3 cm:

[tex]\begin{aligned}\implies \textsf{Area of one trapezoid}&= \sf \dfrac{1}{2} (2+4)(3)\\&= \sf \dfrac{1}{2} (6)(3)\\&= \sf (3)(3)\\&=\sf 9\;cm^2\end{aligned}[/tex]

Given the figure is made up of a square, two congruent trapezoids and two congruent semicircles:

[tex]\begin{aligned}\implies\textsf{Area of the figure}&= \sf square+2\;trapezoids+2\; semicircles\\&= \sf 16+2(9)+2\left(\dfrac{1}{2} \pi\right)\\& = \sf 16 + 18 + \pi \\& = \sf 34 + \pi \\& = \sf 37.14159...\; cm^2\end{aligned}[/tex]

Therefore, the measurement that is closest to the area of the figure in square centimeters is 37 cm².

From trigonometric ratio, we used the tangent of the angle to determine that the flagpole is leaning by an angle of 47.12°

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

In the question, we can assume the point of view and the flagpole makes a right angle triangle.

Since we have the opposite and adjacent, we can find the acute angle by using the tangent of the angle

tanθ = opposite / adjacent

tan θ = 14 / 13

θ = tan⁻¹(14/13)

θ = 47.12°

The flagpole is leaning with an acute angle of 47.12 degrees

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If a woman has a total of $11,000 to invest. The she invested in each account is: 4000 at 8%, 7000 at 7 %.

Total amount of money invested = $11000

x+y=11000,

Total interest for the year= $760

0.07×x+0.08×y=810

x=11000-y

We substitute for x

0.07×(11000-y)+0.08×y=810

We multiply out

770-0.07y+0.08×y=810

We combine like terms.

0.01×y=40

Divide both side by 0.01y

y = 40 /0.01

y= 4000 at 8%

x=11000-y

Calculate x

x = 11,000 - 4,000

x=7000 at 7 %

Therefore she invested 4000 at 8%, 7000 at 7 %.

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You're question should be deleted soon probably 10-15 minutes.

↑ My opinion not answer by a admin/moderator.

Answer: M = -11/3

Step-by-step explanation:

△MPQ: M(-4,3), P(-5,8), Q(-1,6). Translation: along (-4,-4) Reflection: in y=x is M''(-1,-8), P''(4,-9), Q''(2,-5).

Here we need to find translation along (-4,-4) and reflection in y=x.

First we will find translation,

⇒ (x,y)→ (x-4,y-4)

M(-4,3 )→ M'(-8,-1) ,  

P(-5,8) → P'(-9,4)

Q(-1,6) → Q'(-5,2)  

now we will do reflection,

⇒(x,y) → (y,x)

M'(-8,-1) →  M''(-1.-8)

P'(-9,4) →  P''(4,-9)

Q'(-5,2) → Q''(2.-5).

Therefore translation along (-4,-4) and reflection in y=x is M''(-1,-8), P''(4,-9), Q''(2,-5).

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Answer:

last dagre would be 3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The degree of a polynomial will be no less than one more than the number of turning points of its graph.

From inspection of the given graph, there are 3 turning points.  

Therefore, the least degree is 4.

Step-by-step explanation:

x = number of dimes

y = number of quarters

x + y = 100

x = 100 - y

0.1x + 0.25y = 19

0.1(100 - y) + 0.25y = 19

10 - 0.1y + 0.25y = 19

10 + 0.15y = 19

0.15y = 9

y = 9/0.15 = 60

x = 100 - y = 100 - 60 = 40

there were 60 quarters and 40 dimes.

Answer:

The 3rd answer.

Step-by-step explanation:

2(pi)10 is the equation.

The amount of time spent on bicycle by Jim =6.5 hours

The amount of time spent on walking by Jim =2.5 hours

To calculate speed, divide the distance travelled by the time it took to complete the voyage, so speed = distance divided by time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.

Distance divided by time equals speed. Distance = time * speed

To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.

Given,

Distance=270miles

Time=9 hours

Speed by walk=4 miles/hour

Speed by cycle=40 miles/ hour

t= time for riding a bicycle

9-t= time for walking

Distance= Speed ×Time

270=40t+4(9-t)

40t+36-4t=270

36t=234

t=6.5

Time spent on bicycle = 6.5 hours

Time spent on walking = 9-6.5

=2.5 hours

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The slope of line h that is perpendicular to line g is: -4/3.

The slope values of any two lines that are perpendicular to each other are values that are negative reciprocals to each other.

The equation of of line g is given as y = 3/4x + 3/4, it is expressed in slope-intercept form as y = mx + b. This means that the value of the slope of line g is 3/4.

The negative reciprocal of 3/4 is -4/3. Therefore, the slope of line h that is perpendicular to line g would be -4/3.

The slope of line h is: -4/3.

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