In the equation "y = mx + b" which of the following statements is true?

Group of answer choices

y is the output, x is the input, m is the slope and b is the y-intercept

x is the output, y is the input, m is the slope and b is the y-intercept

y is the output, x is the input, b is the slope and m is the y-intercept

y is the output, b is the input, x is the slope and m is the y-intercept

Answer:

5 in

Step-by-step explanation:

The area of a composite shape: area of the bigger shape - the area of the smaller shape.

In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.

1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.

Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.

Area of a rectangle: l x w, where l is the length and w is the width.

Trapeziums

= 1/2 x (3 + 8) x 5.5 x 2

= 1/2 x 11 x 5.5 x 2

= 1/2 x 60.5 x 2

= 30.25 x 2

= 60.5

Rectangle

= 14 x 3

= 42

Area of the shaded region (bigger shape): trapezium + rectangle

= 60.5 + 42

= 102.5

2) Unshaded region (smaller shape):

Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.

= 1/2 x (14 + 25) x 5

= 1/2 x 39 x 5

= 1/2 x 195

= 97.5

3) Area of the bigger shape - the area of the smaller shape

= 102.5 - 97.5

= 5 in²

Answer:

B

Step-by-step explanation:

The amount of change Zelma should receive is 20-0.40p, or 20 dollars minus the total amount of the bananas (each pound multiplied by 40 cents).

Answer: Simple the answer is c.

Step-by-step explanation:

First start out with 20 witch is a full number and subtract .40 p from 20

.40 is the cost of each banana and p is the amount of bananas that will be purchased.

Answer:

Step-by-step explanation:

the area of this rectangle is

(10 + 2x)(8 + 2x) = 168

80 + 20x + 16x + 4x² = 168

4x² + 36x = 88

Step-by-step explanation:

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,

Area = Length × Breadth

168 inches² = (10+2x) inches × (8+2x)inches

168 = (10+2x)(8+2x)

168 = 80 + 20x + 16x + 4x²

0 = 80 + 20x + 16x + 4x² - 168

0 = 4x² + 36x - 88

4x² + 36x - 88 = 0

4x² + 36x = 88

Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ5

Answer:

L: (15+6x) W: 2

L: (10+4x) W: 3

L: (5+2x) W: 6

Step-by-step explanation:

We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.

The area given,

30 + 12x

can be factored several ways to be able to fill in the table.

This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.

Also, unless there are more directions, either factor may be the length or the width.

2(15+6x)

3(10+4x)

6(5+2x)

Answer:

See below ↓

Step-by-step explanation:

Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where A,B,C are the angles and a,b and c are the opposite sides to the angles.

1)

A = 55°, a = 10. 1, b = 12. 3

10 / sin(55) = 12.3 / sinB

B = 86.01°

A + B + C = 180° (angle in triangle)

55 + C + 86 = 180

C = 39

10 / sin(55) = c / sin(39)

c = 7.68

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Find out more on sine rule at: https://brainly.com/question/4372174

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

Answer:

21.75

Step-by-step explanation:

Because 6.00+6.25=12.25+7.00=19.75+8.00=27.75

[tex]\frac{1}{2a}[/tex]

Simplify or expand

[tex](2a)^{-1}[/tex]

Simplify using negative exponent rule [tex]a^{-n}=\frac{1}{a^n}[/tex]

[tex]\frac{1}{2a}[/tex]

I hope this helps you

:)

Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

[tex]450gm * \frac{1}{1000} = 0.45kg[/tex]

Now let's add up all the masses.

[tex]53.6kg + 0.45kg + 4.5kg = 58.55 kg\\[/tex]

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

[tex]58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N[/tex]

Answer:

A. is the answer because 1/2 x 20 will equal 40 gallons

Answer:

s=7

p=3s

Step-by-step explanation:

The perimeter is the side length times 3

So the equation would be p=3s

Plug in 21 for p

21=3s

That means s=7

Answer:

Red

Step-by-step explanation:

Hope it helps :)

Answer:

[tex]y=14x^2+x-3[/tex]

Step-by-step explanation:

If the zeros of the polynomial are -1/2 and 3/7 then:

[tex]\implies x=-\dfrac12[/tex]

Add 1/2 to both sides:

[tex]\implies x+\dfrac12=0[/tex]

Multiply both sides by 2:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=\dfrac37[/tex]

Subtract 3/7 from both sides:

[tex]\implies x-\dfrac37=0[/tex]

Multiply both sides by 7:

[tex]\implies 7x-3=0[/tex]

Therefore, the factored form of the polynomial is [tex]y=(2x+1)(7x-3)[/tex]

Expanding the brackets so that the polynomial is in standard form:

[tex]\implies y=14x^2-6x+7x-3[/tex]

[tex]\implies y=14x^2+x-3[/tex]

Their sum of ages is 45

So

Therefore

Step-by-step explanation:

let the tala's age be x and nabil's be y

x+y=45(equation 1)

x=y+27

x-y=27(equation 2)

solving 1 and 2 equation

x+y=45

x-y=27

______

2x=18

x=9

therefore the talas age is 9

putting the value of x in equarion 1

9+y=45

y=45-9

y=36

Answer:

55.75

Step by step explain:

33.00 divided by 4 equals 8.25

then multiply 8.25 by 7 which equals 55.75

The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we have:

Thus, if we take:

Length of the arc = L feet, then:

[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]

Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

Learn more about arc length here:

https://brainly.com/question/12058177

Answer:

c

Step-by-step explanation:

i did it and got it right

Answer:

Hope the pictures will help. I have done what I knew

Answer:

the answer is 56

Step-by-step explanation:

first off you need to add every number up which adds to be 336,

then you divide by the number of pieces in the data which in this case is 6,

366 divided by 6 is 56

I HOPE THIS HELPED!

Considering the total of peas is 72, Sally's initial number of peas was 56.

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

By the end, Sally has 25 peas and Will has 72 peas.

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

Learn more about peas in: https://brainly.com/question/26169406

Answer: 26

Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.

Using the t-distribution, as we have the standard deviation for the sample, it is found that it can be concluded that the holes are being punched an average of 1. 84 cm.

At the null hypotheses, it is tested if the mean is of 1.84 cm, that is:

[tex]H_0: \mu = 1.84[/tex]

At the alternative hypothesis, it is tested if the mean is different of 1.84 cm, that is:

[tex]H_1: \mu \neq 1.84[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

Considering the hypothesis and the given sample, it is found that the parameters are as follows:

[tex]\overline{x} = 1.85, \mu = 1.84, s = 0.0235, n = 12[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.85 - 1.84}{\frac{0.0235}{\sqrt{12}}}[/tex]

[tex]t = 1.47[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.1 and 12 - 1 = 11 df, the critical value is of [tex]|t^{\ast}| = 1.7959[/tex]

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and it can be concluded that the holes are being punched an average of 1. 84 cm.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

$4

Step-by-step explanation:

12÷4=3

20÷4=5

56÷4=14

Answer:

craig had played approx 5 games..

Step-by-step explanation:

25 is the amount which craig have. 25-5.2=19.9 and when we divide 19.9 with 4 ie. 19.9÷4 = 4.9

From the given information, the tallest player is: Dave.

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

Answer:

ac is parallel to df because it doesn't intersect with each other

Answer:

B

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

5x+17=42

5x + 17 - 17 = 42 - 17