A motorboat travels 120 miles in 4 hours going upstream. It travels 192 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answer:

Step-by-step explanation:

Total cost b = 23.95 + 7.65c

b = 22.95 + 7.65c is the equation can be used to determine the cost of a bracelet, b, with c charms

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that Jocelyn wants to purchase a bracelet with charms

Let the bracelete be b and the charms is denoted by c.

Each charm costs $7.65.

The bracelet costs $22.95.

We need to find the equation can be used to determine the cost of a bracelet, b, with c charms

b = 22.95 + 7.65c

Hence, b = 22.95 + 7.65c is the equation can be used to determine the cost of a bracelet, b, with c charms

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Answer:

3x+16=0

x=-16/3

is your answer

Answer:

3x+16= 125 answer is 109/3

Step-by-step explanation:

D is the 4th letter of the alphabet and u have 5 d which means 4×5=20(repeat the same step for the other letters

J is 10thh so 7×10=70

Next letter is F, you have 2 f's

F is the 6th letter of the alphabet

6×2=12

W which is the the last letter we have to do here is the 23rd letter of the alphabet and u have 1 so 23×1 is 23

Answer: 6 and 7

Step-by-step explanation:

Let the numbers be x and x + 1

We can form and equation as:

2(x²) + (x+1)² = 121

2x² + (x + 1)(x + 1) = 121

2x² + x² + x + x + 1 = 121

3x² + 2x = 121 - 1

3x² + 2x = 120

3x² + 2x - 120 = 0

3x² - 18x + 20x - 120 = 0

3x(x - 6) + 20(x - 6)

Therefore, x - 6 = 0

x = 0 + 6

x = 6

The numbers are 6 and 7

The two numbers given in the statement is required.

The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]

Let [tex]x[/tex] be the first number

[tex]x+1[/tex] be the next consecutive number

From the statement we get

[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]

If [tex]x=6[/tex]

the other number is [tex]x+1=6+1=7[/tex]

If [tex]x=-\dfrac{20}{3}[/tex]

the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]

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Answer:

I believe it would be A 120 sorry if I'm wrong

Answer:

A pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex] .

Step-by-step explanation:

Given fractions are [tex]\frac{2}{3}[/tex] and [tex]\frac{5}{6}[/tex]

Find L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex]

3 = 3 × 1

6 = 2 × 3 × 1

L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex] is [tex]3[/tex]

Multiply numerator and denominator of [tex]\frac{2}{3}[/tex] by [tex]2[/tex].

[tex]\frac{2}{3}=\frac{2(2)}{3(2)} =\frac{4}{6}[/tex]

Therefore, pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex]

Answer:

6 is the answer

pencil/pen=3/5

5pencil=3pen

1 pencil=3/5 pen

1 pen=5/3pencil

pencil/pen=3/5

pencil/10=3/5

pencil=30/5=15

Answer:

15 pencils

Step-by-step explanation:

(You can write ratios with x because you are multiplying all parts of the ratio by the same amount in order for it to be the same ratio)

The ratio of pencils to pen is 3x:5x

If there are 10 more pens than pencils, and the ratio is 3x:5x, we see that the difference between 3x and 5x is 2x

So now we know that 2x = 10

so x = 5

Since x = 5, we plug in the number to 3x:5x which would be 3(5):5(5) which would be 15:25

So there are 15 pencils.

I hope this helped, let me know if you have any questions

Answer:

[tex]\boxed{\textsf{ The number of Teachers that attented is \textbf{ 164 } .}}[/tex]

Step-by-step explanation:

Here it's given that a total of 762 people consisting of parents, students, and teachers, attended the Community Fair. There were 212 parents and 386 students at the fair .That is ,

Number of students:-

[tex]\sf\implies n(students) = 386 [/tex]

Number of parents :-

[tex]\sf\implies n(parents) = 212 [/tex]

Number of teachers :-

[tex]\sf\implies n(teachers) = ? [/tex]

Here the Number of teachers could be simply find out by subtracting the number of students and teachers from the total number of attendees .

[tex]\sf\implies n_{(teachers)}= n_{(total)}- n_{(students)}- n_{(parents)} \\\\\sf\implies n_{(teachers)}= 762 - 386 - 212 \\\\\sf\implies n_{(teachers)}= 762 - 598 \\\\\sf\implies\boxed{\pink{\frak{ n_{(teachers)}= 164 }}}[/tex]

Answer:

EE

Step-by-step explanation:

E

Answer:

25.12 cm

Step-by-step explanation

circumfernce=3.14n

c=3.14·8

c=25.12

Answer:B

Step-by-step explanation:

Answer:

5q+9

Step-by-step explanation:

1. combine like terms

6q-q=5q and 4+5=9

2. combine those two

5q+9

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.

Tenley wants to exercise at least 15 hours per week, therefore:

x + y ≥ 15        (1)

Tenley cover at least 90 miles total in her weekly workout, therefore:

3x + 10y  ≥ 90     (2)

x ≤ 12, y ≤ 10        (3)

Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:

(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)

Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.

Answer:

A = 40 square yards; P = 33 yards.

Step-by-step explanation:

Perimeter of the triangle

= ( 8 + 15 + 10)

= 36 yards.

Area of the right angled triangle

= 1 /2 * 10 * 8

= 40 square yards.

Hope it will help :)

Answer:

200 - 200

-147 - 53

90  -  143

-229 - -86

86 - 0

Step-by-step explanation: im not sure on the last two but i tried?

I know I got the last one wrong, so I will hopefully get this one right

I am not that great with Proportional and Not Proportional, but

1. Y is 0.5 times x

2. Y is 1.5 times x

Answer:

Your answer is n(n+1)

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Answer:

24 and 8

Step-by-step explanation:

solve by trial and error

192/8 = 24

24+8 = 32

Ill tell you the answer if u mark me brainliest

Answer:

A. 9

Step-by-step explanation:

y2 - y = m(x2 - x) formula

7 - -2/ -6 - -7 = m

9/1 = m

9 = m

The equation would have a slope of 9.

Answer:

x=1,y=2

-2x-4y= -10 maltiple by -1 then 2x +4y

-7x-4y= -15

therfore 2x+4y=10

-7x-4y=-15 to find x or y you must zero one of them

ther fore 4y-4y=0

then 2x+(-7x)= -5x

-5x=10 +(-15) =-5

-5x = -5

divide by -5 both side,

x =1

to get the value of y the value of x supersed in to equation

-2(1) -4y = -10

-4y =-10 +2

-4y = -8 both dived by -4

y=2

The system of linear inequalities to model this situation is 4x+2y≤32, x≥2, y≥4. The correct option is (a).

The inequality 4x + 2y ≤ 32 represents the total number of hours available per week, which is limited to 32 hours.

The inequality x ≥ 2 represents that the carpenter must make at least 2 large bookcases per week.

The inequality y ≥ 4 represents that the carpenter must make at least 4 small bookcases per week.

These inequalities ensure that the carpenter stays within the time constraint of 32 hours and fulfills the minimum quantity requirements for both large and small bookcases.

Thus, the correct option is (a).

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Answer

interior angles 370

exterior angles 350

I hope this helps!

Answer:

Angle b = 30 degrees

Step-by-step explanation:

3x = 90.

X= 30

Angle b = 30 degrees

Answer:

45

Step-by-step explanation:

because in total it's a 90-degree agle half of 90 is 45.

Answer:

Step-by-step explanation:

In triangle KLM, Given the following measures

m<M = 90°

LK =97

ML = 65

KM = 72

We are to find sin m<L

According to SOH CAH TOA.

sin theta = opposite/hypotenuse

Opposite = KM = 72

Hypotenuse = LK = 97

sin m<L = KM/LK

sin m<L  = 72/97

sin m<L = 0.74 (to the nearest hundredth)

Answer:

C   D  and E

Step-by-step explanation:

6x + 52 > 130

Subtract 52 from both sides:

6x > 78

Divide both sides by 6:

X > 78/6

X > 13