Which of the following equations shows "Five times a number minus 40 is 50"?

Answer:

Area = 147.03 cm²

Step-by-step explanation:

Area of parallelogram = [tex]Base*Heigth[/tex]

Where base = 16.9 cm, Height = 8.7 cm

Area = 16.9*8.7

Area = 147.03 cm²

Answer:

147.03 square cm

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]

Answer:

Option b

Step-by-step explanation:

To represent this proportion using fractions, let the numerators be the number of waffles sold and denominator, the number of sugar cones.

Thus, the proportion that can be used to represent the cone sales is

14/6 = 7/3

Answer:

BBBBBB

Step-by-step explanation:

Answer:

x=-20 or x=68

Step-by-step explanation:

you can either make it so 47 remains the largest number and so take 67 from 47 (=-20) or you can leave 1 as the smallest number and add 67 to 1 (=68)

Answer:

Hey there!

Angles in a triangle add to 180 degrees, so we have 37+104+x=180.

Simplifying, we get 141+x=180

Subtracting 141, we get x=39.

Hope this helps :)

Answer:

x = a + b

Step-by-step explanation:

This is a proof

Exterior angle of a triangle = Sum of Interior and opposite angles

Exterior angle of a triangle = x

Sum of Interior and opposite angles = a + b

know that

a + b + c = 180       ______1          (total sum of angles in a triangle)

x + c = 180   _______2                 (total sum of angles on a straight line)

from equation 1

c = 180 - (a + b)

from equation 2

c = 180 - x

hence

180 - (a + b) = 180 - x

180 - 180 + x = a + b

x = a + b

Answer:

[tex](A) y=1.5[/tex]

[tex](B)x=\dfrac27[/tex]

[tex](C)x=2\dfrac23[/tex]

[tex](D)x=-5.25[/tex]

Step-by-step explanation:

(A)

[tex]3y - 2 = - y + 4\\3y+y=4+2\\4y=6\\y=\dfrac64\\\\y=1.5[/tex]

(B)

[tex]5 - 4x = x + 3 + 2x\\5 - 4x = 3 +3x\\5-3=3x+4x\\7x=2\\x=\dfrac27[/tex]

(C)

[tex]-12 - 9x = - 4 - 12x\\-9x+12x=-4+12\\3x=8\\x=\dfrac83\\\\x=2\dfrac23[/tex]

(D)[tex]- x - 6 + 3x = -2x + 8x + 15[/tex]

[tex]2x-6 = 6x + 15\\2x-6x=15+6\\-4x=21\\x=\dfrac{21}{-4} \\\\x=-5.25[/tex]

I know you don't need this anymore but for the ones who do this is the answer.........Look at the graph and trust it. Yes, I know it says to substitute and you can following the last page on part a) Doing what they do in the tables and it will get you the same answer as if you'd just look at the graph.

The answer for the y- value at x=p IS 8. and the answer for the y-value at x=p+k IS 5. So go ahead and write that down if you haven't already!

For step2 Find the difference between the endpoints of the interval on the y-axis. The answer to your question, Is and always will be 3! The difference is 3 because you subtract 3 from 8 and you get 5.

If you didn't read clearer, I'll write it for you again, The length interval is K, it is the length between p and p+k.

For the following questions, does your answer to step 2 depend on p, well I suppose. This is why....The answer does depend on p because we are dealing with a slope. if you move up or down the slope it will not be the same.

For the question..... Is the difference between the y-values the same regardless of where the interval starts? The answer is yes!!! And No!!! But WRITE YES! Why? Because if the interval moves as a whole the difference between the y-values is the same! Try it for yourself. Move K back two x-values and the difference for the y-values will be the same, IT WILL STILL BE THREE.

Hope you understood!

And for part one the answer on part c (-2). It depends on K.

Answer:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

From the information given,

Sample proportion, p = 65/100 = 0.65

q = 1 - 0.65 = 0.35

n = 200

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Margin of error = 1.96√(0.65)(0.35)/200

Margin of error = 0.066 = 6.6%

The maximum boundary of the interval is

0.65 + 0.066 = 0.716

Answer:

Cada perro caliente cuesta 5,500 pesos y cada hamburguesa cuesta 7,000 pesos.

Step-by-step explanation:

Sea x el precio de los perros calientes y y el precio de las hamburguesas.

Escribiendo los datos de la primera familia en forma de ecuación tenemos:

[tex]4x+3y=43,000[/tex] (4 perros calientes y 3 hamburguesas cuestan 43,000 pesos)

Escribiendo los datos de la segunda familia:

[tex]5x+y=34500[/tex] (5 perros calientes y 1 hamburguesa cuestan 34,500 pesos)

Vamos a resolver este sistema de ecuaciones por el método de suma y resta:

[tex]4x+3y=43,000\\5x+y= 34,500[/tex]

Multiplicando la segunda ecuación por -3 y sumando ambas tenemos:

[tex]4x+3y=43,000\\-15x-3y= -103,500\\\\-11x=-60,500\\x=-60,500/-11\\x= 5,500[/tex]

Por lo tanto, un perro caliente cuesta 5,500 pesos.

Ahora sustituimos este valor en nuestra segunda ecuación para encontrar el precio de las hamburguesas:

[tex]5x+y=34500\\5(5,500)+y=34,500\\27,500 +y=34,500\\y=34,500-27,500\\y=7,000[/tex]

Por lo tanto, las hamburguesas cuestan 7,000 pesos cada una

Step-by-step explanation:

Reflexive property

Reflexive property

AA similarity-  if two pairs of corresponding angles are congruent, then the triangles are similar

Answer:

Reflexive property

Reflexive property

AA similarity- if two pairs of corresponding angles are congruent, then the triangles are similar same thing he said pretty much

Step-by-step explanation:

Answer:

Total peanut=324

Step-by-step explanation:

Let the peanut=x

Philip took 1/3 of x

Remaining peanut=x-1/3x

=3x-x/3

=2/3x

Joy took 1/4 of the remaining leaving 3/4

Remaining=(3/4)(2x/3)

=6x/12

=1/2x

Brent took 1/2 of those, leaving 1/2

=(1/2)*(1/2x)

=1/4x

Preston took 10

Remaining

1/4x - 10 = 71

1/4x = 81

x=81÷1/4

=81*4/1

x = 324

Total peanut =324

Philip=1/3x

=1/3*324

=108

Remaining 324-108

=216

Joy=1/4 of 216

=54

Remaining

324-108-54=162

Brent=1/2 of 162

=81

Preston=10

Total taken=Philip+joy+Brent+Preston

=108+54+81+10

=253

Total remaining=Total peanut - total taken

=324-253

=71

Answer:

[tex]\boxed {\red {0.035m}}[/tex]

Step-by-step explanation:

[tex]1m = 100cm \\ x = 3.5cm[/tex]

[tex]use \: \: cross \: \: multipication[/tex]

[tex]3.5 \times 1 = 100 \times x \\ 3.5 = 100x \\ \frac{3.5}{100} = \frac{100x}{100} \\ x = 0.035m[/tex]

Answer:

This function s a linear relationship because this function increases about a consistent slope. The equation is 2x+5, where 2 is the slope.

Step-by-step explanation:

Answer:

slope m=1/7

Step-by-step explanation:

x-7y=-6

-7y=-x-6

y=-x/-7 -6/-7

y=1/7 x+6/7

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

The time is [tex]m = 6\cdot (n-1)[/tex] seconds to reach the n-th flag.

The time needed by Ryan ([tex]t[/tex]), in seconds, to reach the n-th flag at constant velocity is modelled by the following arithmetic progression:

[tex]t = r\cdot (n-1)[/tex] (1)

Where:

And the period can be derived from (1): ([tex]t = 30[/tex], [tex]n = 6[/tex])

[tex]r = \frac{t}{n-1}[/tex]

[tex]r = \frac{30}{6-1}[/tex]

[tex]r = 6\,\frac{s}{flag}[/tex]

If we know that [tex]n = n[/tex], [tex]t = m[/tex] and [tex]r = 6[/tex], then we have the following formula:

[tex]m = 6\cdot (n-1)[/tex]

The time is [tex]m = 6\cdot (n-1)[/tex] seconds to reach the n-th flag.

To learn more on arithmetic progressions, we kindly invite to check this verified question: https://brainly.com/question/24873057

(V.O.A) means vertically opposite angle.

Answer:

Thomas has 45

Emma 30+45=75 pound

Step-by-step explanation:

Ratio is 3/5

Tomas receives x money

Emma receives x+30

3/5=x/30+x

3(30+x)=5x

90+3x=5x

90=5x-3x

90=2x

x=90/2=45

Thomas has 45

Emma 30+45=75 pound

45/75=3/5

answer=

a: emma receives $75

b:thomas recieves $45

Answer:

904.32 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h + (1/2)(4/3)(pi)r^3

V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3

V = 904.32 cm^3

The volume of the figure would be the combination of the volume of the cone and the hemisphere that is 904.32 cm^3.

Suppose that the radius of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The composite figure is made up of a cone and a half-sphere.

The radius of the half-sphere is 6 cm.

The volume of the figure would be the combination of the volume of the cone and the hemisphere.

The volume of the figure is

[tex]V = (1/3)(\pi)r^2h + (1/2)(4/3)(\pi)r^3\\V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3\\V = 904.32 cm^3[/tex]

Learn more about the volume of cone here:

https://brainly.com/question/26093363

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Answer:

PEMDAS DAT

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

12(80 – x) = 816

Divide each side by 12

80-x = 816 /12

80-x = 68

Subtract 80 from each side

80-x-80 = 68-80

-x = -12

Multiply each side by -1

x = 12

James earned 80-12 = 68

Answer:

Which strategies will verify that the value for x is correct? Check all that apply.

Substitute 12 for x in the equation.

Multiply $68 by 12 months.

Step-by-step explanation:

B and C

the second and third one.

Answer:

The area of the image is 2,070.25 cm^2

Step-by-step explanation:

The first thing we do here is to scale up the square using the factor given.

Thus, for a length of 14 cm scaled up by 3.25, the new length becomes 14 * 3.25 = 45.5 cm

Mathematically, the area of the square is L^2

where L in this case is 45.5 cm

The area of the scaled up square would be 45.5 * 45.5 = 2,070.25 cm^2

Answer:

it is a many to one function:)

Step-by-step explanation:

The statement which best describes the function F(x)=2x^2-3x+1 is it is a many to one function.

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

f(x) = x2 shows us that function "f" takes "x" and squares it. Example: with f(x) = x2: an input of 4. becomes an output of 16.

Learn more about piecewise function at https://brainly.com/question/27262465

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Answer:

1 3/5 = 8/5

.2=2/100

Step-by-step explanation:

make an equality:

x/(8/5)=2/100

it kinds looks weird on here but write it out on paper

then cross multiply:

100x=(2)(8/5)

100x=16/5

now divide each side by 100:

x=4/125

same for the second one:

make an equality:

x/2=2/100

cross multiply:

100x=(2)(2)

100x=4

x=1/25

Explanation:

The vertex of a parabola is either the highest point or the lowest point, depending on how the parabola is oriented. In this case, it is the lowest point.

For the red f(x) curve, we see the vertex is (0,0)

The blue g(x) curve has its vertex at (3,1)

In general, the vertex is represented by (h,k)

For the blue curve, (h,k) = (3,1) so h = 3 and k = 1 pair up together

We will plug those values along with a = 1 into the vertex form below

y = a(x-h)^2 + k

y = 1(x-3)^2 + 1

y = (x-3)^2 + 1

The blue curve is the result of shifting the red curve 3 units to the right and 1 unit up. No vertical stretching or compressing has been applied, which is why a = 1 stays the same.

Answer:

e.29 d.1

Step-by-step explanation:

we will replace with the values we have :

Answer:

140°

Step-by-step explanation:

[tex] m \angle \: 2 = \frac{1}{2} \times \bigg(133 \degree + 147 \degree \bigg) \\ \\ m \angle \: 2 = \frac{1}{2} \times 280 \degree \\ \\ \huge \red { \boxed{m \angle \: 2 = 140 \degree }}[/tex]

Answer:

12 meters

Step-by-step explanation:

Draw a picture of the two pathways 30° apart.  Add a circle representing the illumination of the light on one of the pathways.  Draw a line from the center of the circle to the last point where it intersects the pathway without lights.

This forms a triangle.  One leg is x, the length of the pathway without lights.  Another leg is 5n, where n is an integer.  This represents how far the light is from where the pathways meet.  The third and final leg is 6, the radius of the illumination.

Use law of cosine to solve:

6² = x² + (5n)² − 2x(5n) cos 30°

36 = x² + 25n² − 5√3 xn

0 = x² − 5√3 xn + 25n² − 36

In order to have a solution, the discriminant must be greater than or equal to 0.

b² − 4ac ≥ 0

(-5√3 n)² − 4(1)(25n² − 36) ≥ 0

75n² − 100n² + 144 ≥ 0

144 − 25n² ≥ 0

144 ≥ 25n²

144/25 ≥ n²

12/5 ≥ n

So n must be an integer less than 12/5, or 2.4.  Therefore, the largest value of n is 2.  Substituting:

0 = x² − 5√3 x(2) + 25(2)² − 36

0 = x² − 10√3 x + 64

Solve with quadratic formula:

x = [ 10√3 ± √(300 − 4(1)(64)) ] / 2(1)

x = (10√3 ± √44) / 2

x = 5√3 ± √11

x ≈ 5.34 or 11.98

We want the larger value of x.  So approximately 12 meters of the pathway without lights is illuminated.

Answer:6 1/2

Step-by-step explanation:1/2+3 1/2+2 1/2

Add all the halves (1/2)

1/2+1/2+1/2=1 1/2

Then add the 3 and 2 in front of the fraction.

3+2=5

So, 1 1/2+5=6 1/2

Answer:

6 1/2

Step-by-step explanation:

3+2=5

1/2+1/2=1

5+1=6

6+1/2=6 1/2

Answer:

length is 14

diagonal is 19.8

Step-by-step explanation:

To find the length of the side of the square, what we need to do is to use the height 12 in each triangle to find the length of the adjacent in each triangle and add together.

Mathematically we can find the length of this adjacent using the Pythagoras theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Applying this to each of the 2 triangles but summing the answer;

The length l is as follows;

Let’s call the adjacent fir each side of the triangle a and b but the addition being l

a^2 = 15^2 - 12^2 = 225-144 = 81

a^2 = 81

a = 9

b^2 = 13^2 -12^2

b^2 = 169-144

b^2 = 25

b = 5

l = a + b = 9 + 5 = 14

The diagonal can also be calculated using pythagoras’

d^2 = 14^2 + 14^2

d^2= 196 + 196

d^2 = 392

d = √(392)

d = 14√2 = 19.8

Answer:

7.5 mL

Step-by-step explanation:

If it decays exponentially then you divide the previous number by 4 to get the next number and 30 divided by 4 is 7.5mL.