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katovenus [111]

3 years ago

8

Bob need to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. bob has 6 cups of concentrate. h

ow much orange juice can he make

2 answers:

USPshnik [31]3 years ago

8 0

3 x 2 = 6 cups of concentrate

3.5 x 3 = 10.5 cups of water

Bob can make 6 cups of orange juice.

Ad libitum [116K]3 years ago

8 0

C = concetrate juice
w = water
J = orange juice

J = 2c + 3.5w

with 6 cups of concetrate he makes 3 times this receipe, right?

3J = 3x2c + 3x3.5w

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl

Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in $5C2$ ways.

There are n tables and we can choose 2 tables from n table in $nC2$ ways.

We can represent our given information in an equation as:

$5C2\times nC2=150$

$\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150$

$\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150$

$10\times \frac{n!}{2!(n-2)!}=150$

$\frac{n!}{2!(n-2)!}=15$

$\frac{n!}{2*1*(n-2)!}=15$

$\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15$

$\frac{n(n-1)}{2}=15$

$n(n-1)=30$

$n^2-n=30$

$n^2-n-30=0$

$n^2-6n+5n-30=0$

$n(n-6)+5(n-6)=0$

$(n-6)(n+5)=0$

$(n-6)=0\text{ (or) }(n+5)=0$

$n=6\text{ (or) }n=-5$

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

8 0

3 years ago

Match each quadratic graph to its respective function

Anna11 [10]

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

7 0

4 years ago

If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

3 years ago

So A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Lena [83]

Answer:

<h2>6x² - 14x - 4</h2>

Step-by-step explanation:

A =3x² + 4x + 1

B = 5x² - 3x + 8

C = 4x² - 7x - 3

B + C –A is

5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)

Expand and simplify

We have

5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1

Group like terms

5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1

We have the final answer as

<h3>6x² - 14x - 4</h3>

Hope this helps you

8 0

3 years ago

One pound of candies costs $3.50. How much will we have to pay for 3 lb?

Romashka-Z-Leto [24]

Answer: 10.50 dollars

Step-by-step explanation:

3.50 x 3 = 10.50

8 0

3 years ago