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3 years ago

2(3x - 7) + 4(3x + 2) = 6(5x +9) + 3 x = -21 x = -2 x = -21/4 x = -4

Mathematics

2 answers:

BaLLatris [955]3 years ago

7 0

Answer:

x = -21/4

Step-by-step explanation:

Ray Of Light [21]3 years ago

4 0

Answer:

x = -21/4

Step-by-step explanation:

Decimal form: -5.25

Mixed Number Form: -5 1/4

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Complete each of the ratios on the table show calculations

arsen [322]

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

4 0

4 years ago

1. An ice cream shop has 25 different flavors of ice cream. For each of the following, indicate whether it is a problem

Natali [406]

Answer:

Step-by-step explanation:

Given that an ice cream shop has 25 different flavors of ice cream.

a) the number of different 3-scoop ice cream cones that are possible if all three scoops are different

=25P3 (since order matters as shapes or colours would be different so different order will give different type)

= 13800

b) the number of different 3-scoop ice cream cones that are possible if all three scoops are different

=25C3 (since order does not matter here)

=2300

c) the number of different ice cream cones if all three scoops could be the same, and the order of the

flavors is important

= when all three sceeps couldbe the same we can say that these are with replacement. Neither permutation nor combination

Each scoop can be any one of the 25

no of ways $= 25^3=15625$

5 0

3 years ago

You win $10 000 in a Best Math Student competition. Being a generous person, you decide to invest the money

krok68 [10]

Cumulative costs of the investments of a mutual fund you currently hold are the amount invested. Net Investment is one investment action's net amount of inflow.

Invested Amount in PP $\bold{= \$2400}$
Invested Amount in TT $\bold{= \$(10000 - 2400) = \$7600}$

Solution:

The formula for calculating the simple interest:

$\to \text{Simple interest} = principal \times rate \times time$

Total amount = 10000

Let :

Invested Principle (PP) $\bold{= r}$ ............................. (i)
Invested Amount in TT $\bold{= 10000 - r}$ ................................. (ii)

From both investments total earned interest = $620

$\to \bold{PP \ investment \ return + TT \ investment\ return = 620}$

$\to (r \times 10\% \times 1) + (10000 - r \times 5\% \times 1) = 620\\\\\to (r \times \frac{10}{100} \times 1) + (10000 - r \times \frac{5}{100} \times 1) = 620\\\\\to (r \times 0.10 \times 1) + (10000 - r \times 0.05 \times 1) = 620\\\\\to 0.1r + 500 - 0.05r = 620\\\\\to 0.05r = 620 - 500\\\\\to 0.05r = 120\\\\\to r =\frac{ 120}{0.05}\\\\\to r = 2400$