Jason is making punch by mixing of a cup of orange juice and of a cup of mango juice. He wants to mix the orange juice and mango juice in the same ratio to make 21 cups of punch. Use the table to determine how many cups of orange juice and mango juice he will need.

Answer: Answer is in the steps

Step-by-step explanation:

A)  First convert 65 miles to kilometers  

65 miles to kilometers  is 104.607  

Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.

Now divide the kilometers by the number of minutes

104.607 / 60 = 1.74345  

The speed will be 1.74345 kilometers per minute.

B) Convert 3.5 hours to minutes.

3.5 hours is the same as 210 minutes    

Now multiply it by 1.74345 to determine how many kilometers you have traveled.

1.74345 * 210 = 366.1245

You will travel 366.1245 kilometers in 3.5 hours.

Answer:

The slope of the equation y-3=-4(x-5) is -4.

Step-by-step explanation:

This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations.  In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.

Slope of the equation is equals to -4.

" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."

General equation of line

y = m x + c                              ____(1)

'm' = slope of the line

'c' = y - intercept

According to the question,

Given equation,

[tex]y-3 = -4(x-5)[/tex]

Open the brackets of the equation we get,

[tex]y-3 = -4x+20[/tex]

Add 3 both the sides of the equation we get,

[tex]y = -4x+23[/tex]                      ______(2)

Compare equation (1) and (2)  to get the slope we have,

Slope 'm' = -4

y-intercept = 23

Hence, slope of the equation is equals to -4.

Learn more about slope here

https://brainly.com/question/3605446

#SPJ2

Answer: 33.33%

Step-by-step explanation:

1 day=24 hrs, 2 days=48hrs

 16hrs/2days × 100%

=16hrs/48hrs × 100%

=0.333... × 100%

=33.33% (rounded)

Step-by-step explanation:

[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]

Step-by-step explanation:

f(x)=y

(x,y)

(x,f(x))

then,

f(-4)=1

f(0)=2

f(4)=3

Answer:

the first one i think

Step-by-step explanation:

i can't see the pic clearly make it better, and i will solve for u

Answer:

-1/6

Step-by-step explanation:

- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6

The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].

Given an expression:

[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]

It is required to find the value of the expression after simplifying the expression.

Since there is more than one operation used in this expression, the rule of BODMAS has to be used.

The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].

Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.

So, this can be simplified as:

[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]

         [tex]=\frac{1}{3}[/tex]

The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].

Make the denominators equal.

[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]

            [tex]=-\frac{1}{6}[/tex]

Hence, the value is [tex]-\frac{1}{6}[/tex].

Learn more about Fractions here :

https://brainly.com/question/10354322

#SPJ6

Answer:

(7x+1)=x-5

Step-by-step explanation:

Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.

Answer:

D

Step-by-step explanation:

The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2

Answer:

Step-by-step explanation:

[tex]63y-35y\\=28y[/tex]

[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]

Answer:

4x + 10 > 3x + 14

x > 4

Step-by-step explanation:

Use the given values for length and width in the formula for perimeter of a rectangle.  You will be able to find the perimeter of rectangles A and B.

A = 2(l + w)

A = 2(x + 5 + x)

A = 2(2x + 5)

A = 4x + 10

B = 2(l + w)

B = 2(x + 7 + x/2)

B = 2(3x/2 + 7)

B = 3x + 14

The perimeter of rectangle A is larger than that of rectangle B.

A > B

4x + 10 > 3x + 14

(4x + 10) - 3x > (3x + 14) - 3x

x + 10 > 14

(x + 10) - 10 > 14 - 10

x > 4

Answer:

Step-by-step explanation:

4+6+10+10+15+17+19=81

Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.

Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

Answer:

g(1)=7 1/5

Step-by-step explanation:

vertex (-5,0) , y intercept(0,5)

the quadratic equation is in the form of a parabola: y=ax²+bx+c

y=a(x-h)²+k    find a and b and c

5=a(0-(-5))²+0

5=a(5)²+0

5=25a  ⇒ a=5/25 ⇒ a=1/5

-b/2a=h

-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2

y=c=5 ( when x=0, y intercept)

y=1/5x² + 2x + 5

g(1)=1/5(1)²+2(1)+5

g(1)=1/5+2+5

g(1)=7 1/5

A quadratic function has a degree of 2, and it is represented as: [tex]y = ax^2 + bx + c[/tex]. The value of g(1) is -7.2

Given that:

[tex](h,k) = (-5,0)[/tex] --- the vertex

[tex](x,y) = (0,-5)[/tex] --- the y-intercept

The quadratic function in vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where:

[tex](h,k) = (-5,0)[/tex] --- the vertex

So, we have:

[tex]y = a(x - -5)^2 + 0[/tex]

[tex]y = a(x +5)^2[/tex]

Substitute [tex](x,y) = (0,-5)[/tex] to calculate the value of a

[tex]-5 = a(0 +5)^2[/tex]

[tex]-5 = a(5)^2[/tex]

[tex]-5 = a \times 25[/tex]

Divide both sides by 25

[tex]a = -\frac 15[/tex]

So, the quadratic equation is:

[tex]y = a(x +5)^2[/tex]

[tex]y = -\frac 15(x +5)^2[/tex]

Rewrite as a function

[tex]g(x) = -\frac 15(x +5)^2\\[/tex]

To calculate g(1), we simply substitute 1 for x

[tex]g(1) = -\frac 15(1 +5)^2[/tex]

[tex]g(1) = -\frac 15(6)^2[/tex]

[tex]g(1) = -\frac 15 \times 36[/tex]

[tex]g(1) = -7.2[/tex]

Hence:

The value of g(1) is -7.2

Read more about quadratic functions at:

https://brainly.com/question/4119784

Answer:

n=82

Step-by-step explanation:

[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

Hope this helps ;) ❤❤❤

Answer:

The answer is the fourth one.

[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]

Answer:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Step-by-step explanation:

Given

[tex]4 * p * 4 * p[/tex]

Required

Write as exponents

[tex]4 * p * 4 * p[/tex]

Rearrange to collect Like Terms

[tex]4 * 4 *p * p[/tex]

Group both items

[tex](4 * 4) *(p * p)[/tex]

Apply law of indices

[tex](4^{1+1})(p^{1+1})[/tex]

[tex](4^2)(p^2)[/tex]

Remove bracket

[tex]4^2p^2[/tex]

Hence:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]

[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]

LHS = RHS:  tan 2A = tan 2A  [tex]\checkmark[/tex]

Answer:

x = 29

Step by step explantion:

Answer:

x = 29

Step-by-step explanation:

Distribute/ Multiply:

8x - 4 - 3 = 9x - 36

Rearrange the equation:

8x - 9x = -36 + 4 + 3

Combine like terms:

-1x = -29

Divide:

x = 29

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line

m = [tex]\frac{1-3}{1-0}[/tex] = - 2

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation of line

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

Answer:

= 3xy + ( 5x + x) + 3y + ( 4 +2 )

= 3xy + 6x + 3y + 6

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: Because its just easy ;/

Answer:

it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.

Step-by-step explanation:

5b-b,4b^2/b,...and so on

there are infinite number of equivalent expression..

among them five are here

4*b,

6b-2b,

2*2b,

((5b^3-b^3)/b^2),

2b+2b,etc

Answer:

A) Roses , C) Alfalfa

Step-by-step explanation:

Each ladybug symbol = 5 ladybugs

Roses: 35 ladybugs

Lettuce: 15 ladybugs

Alfalfa: 25 ladybugs

Grape vines: 10 ladybugs

10 ladybugs go from lettuce to alfalfa. You end up with:

Roses: 35 ladybugs

Lettuce: 5 ladybugs

Alfalfa: 35 ladybugs

Grape vines: 10 ladybugs

Roses and alfalfa end up with 35 ladybugs each.

Answer: A) Roses , C) Alfalfa

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]

Hope this helps ;) ❤❤❤