Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?

Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = [tex]6W^2[/tex]

The are of the banner is 96 square inches. This implies that:

[tex]6W^2[/tex] = 96

=> [tex]W^2[/tex] = 96 / 6 = 16

W = [tex]\sqrt{16}[/tex]

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

Answer:

4x-5y=2, 24x-47y=22

Step-by-step explanation:

I mean I would write out all the steps for the answers if I wasn't feeling lazy.

4x-5y=2

10x-21y=10

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

Here you can have the answers:

4x-5y=2

3x-y=4

[tex]x=\frac{18}{11} , y=\frac{10}{11}[/tex]

4x-5y=2

24x-47y=22

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

4x-5y=2

10x+3y=15

[tex]x=\frac{81}{62},y=\frac{20}{31}[/tex]

4x-5y=2

14x+26y=12

[tex]x=\frac{56}{87},y=\frac{10}{87}[/tex]

It seems that 4x-5y=2, 24x-47y=22 is the correct answer.

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Answer:

Ellipses (special case is called a circle), hyperbolas, parabolas.

Step-by-step explanation:

These are all conic sections.

A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.

The illustration below gives more insight into the question.

I hope this helps.

The answers are C, and/or A.

I'm not entirely sure, I apologize..

Answer:

53

Step-by-step explanation:

Left triangle: Missing angle 40. 80+60=140, 180-140=40.

40+49=89

180-89=91

91+36=127

180-127=53

Answer:

? = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

The measure of the third angle of the triangle on the left is

third angle = 180° - (60 + 80)° = 180° - 140° = 40°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

40° + 49° = 89° is an external angle of the triangle on the right, thus

? + 36 = 89 ( subtract 36 from both sides )

? = 53°

Answer:

B, or 14 + 22i.

Step-by-step explanation:

When multiplying complex numbers, use the FOIL method.

Therefore:

(5 + 3i)(4 + 2i)

FOIL the equation:

5×4 + 5 × 2i + 3i × 4 + 3i × 2i

Simplify. Remember that i² = -1.

20 + 10i + 12i -6

Combine like terms:

14 + 22i

Therefore, the solution is B, or 14 + 22i.

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, B. 10 is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of all real numbers.

Answer:

x = 27/5

Step-by-step explanation:

5x - 1 = 26

Add 1 to each side

5x - 1 = 26

5x-1+1 = 26+1

5x = 27

Divide each side by 5

5x/5 = 27/5

x = 27/5

Answer:

0.5m/s

Step-by-step explanation:

75m/150s(2min 30 sec)

?m/s

So,

75m÷150/150s÷150

0.5m/s

plzz mark brianliest if its correct

Answer:

Sharon has 18 cards and Brendan has 13

Step-by-step explanation:

you do 31-5=26

26/2=13 these are both of their cards

u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan

can i have brainliest

Answer:

b>=3

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

The relation is indeed a function because of the reason as described by choice D.

A function is relation that maps a set of elements known as inputs to another set of elements known as the outputs, such that each input element is mapped to exactly one output element

The relationship between the given values is a function and, the correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

The reasons the selected option are correct is as follows:

The given ordered pair are presented in a tabular form as follows:

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right][/tex]

In a function, each value in the domain corresponds with one element in the range. Therefore, if two elements in the domain corresponds to one element in the range, the relationship is not a function

Therefore;

[tex]\begin{array}{|c|cc|}\mathbf{ x}&&\mathbf{y}\\1&&1\\1&&2\\1&&3\\1&&4\\1&&5\end{array}\right] \ Is \ not \ a \ function[/tex]

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right] \ Is \ a \ function[/tex]

In the table above, each element in the domain appear only once, and therefore, each element in the domain correspond or gives only one value in the range, while the element 3 in the range corresponds to 1, and 2 in the domain. However, the range are the output values of the function, and therefore, the data satisfies the relationship of a function

The correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

Learn more about functions here:

https://brainly.com/question/6052900

Answer:

Step-by-step explanation:

you add 75 to 14 then x that buy 5 then divide by 2

=35x+

75/2

Answer:

see below

Step-by-step explanation:

y = 75+ 15x  where x is the number of days and y is the cost

Let x = 1

y = 75+15(1)

y = 90 for one day

for x days

y = 75+15x

Answer:

70,000$

Step-by-step explanation:

Thanks so much for a word document

Answer:

What do you need,and what's the question

Answer: On a coordinate plane, a line crosses the y-axis at (0,0)

Step-by-step explanation:

A proportional relationship has the form:

y = k*x

where k is the constant of proportionality.

only from looking at this we can conclude:

This is a linear equation.

The slope is k.

The y-intercept is equal to zero.

For example, if we have x = 0 then:

y = k*0 = 0

then this line passes through the point (0,0)

then the correct option is:

"On a coordinate plane, a line crosses the y-axis at (0,0)"

Answer:

D

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Steps:

1: Step 1: Subtract 2 from both sides.

4x+2−2=6−2

4x=4

2: Step 2: Divide both sides by 4.

4x4=44x=1

Answer: x=1

Hope this helps.

Answer:

1

Step-by-step explanation:

Given expression:

4x+2=6

Bringing 2 to the other side, it becomes negative..

4x=6-2 = 4

4x=4

again 4 brought to rhs n divided..

x=4/4

x= 1

So the correct option is (a)

Answer:x<6

Step-by-step explanation:

2x<11+1

2x<12

X<6

Answer:

I believe its A

Step-by-step explanation:

Answer:

B, D, and E

Step-by-step explanation:

Answer:

39,8

Step-by-step explanation:

the H represents 39,8

Answer: 689

Step-by-step explanation:

Answer:

1 : 0.2 is the answer I think

Answer:

1300

Step-by-step explanation:

2600 x 0.5= 1300

Step-by-step explanation:

see the attachement

hope it helps you....

Answer:

Step-by-step explanation:

4 x 4 = 16

16/28 = 4/7

4/7 x 5 = 20/7

2 6/7

I'm always happy to help :)

Answer:

-4

Step-by-step explanation:

Rearranging the terms of this polynomial in descending order by powers of x, we get 3x2 + 5x3 − 4x4 − 7x => -4x^4 + 5x^3 + 3x^2 - 7x.

-4x^4 is the leading power of x, and -4 is the "leading coefficient" of the polynomial.