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Reika [66]
3 years ago
8

(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths

Mathematics
1 answer:
____ [38]3 years ago
3 0

The value of "x" is 5.5

<em><u>Solution:</u></em>

Given that we have to solve the proportion

\frac{3x - 4}{14} = \frac{9}{10}

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5

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Use the Commutative Property to write an expression equivalent to -5d + 6
Ludmilka [50]

Answer:

6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

Step-by-step explanation:

Commutative Property of Addition

We know that we can add two numbers in any order.

For example,

Let 'a' and 'b' be two numbers.

We can add  'a' and 'b' numbers in any order, such as

a + b = b + a

Thus,

a + b = b + a is represented using the commutative Property of Addition.

In our case,

-5d + 6 can be written or represented using the commutative Property of Addition, such as

-5d + 6 = 6 - 5d

It is clear that -5d + 6 can be written in any order such as 6 - 5d.

In other words, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

Therefore, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

7 0
3 years ago
Every​ week, Bob plays the guitar for three hours​, and his grade on each psych test is 75 percent. Last​ week, after playing fo
dsp73

Answer:

20% psyche test scores

Step-by-step explanation:

Given that every week, Bob plays the guitar for three hours​, and his grade on each psych test is 75 percent.

Last​ week, after playing for three hours​, Bob considered playing for an additional hour.

He decided to play for another hour and cut his study time by one​ hour, but last week his psych grade was 55 percent.

Bob​'s opportunity cost of the fourth hour of playing the guitar​

=His cut in scores in psyche test

=20%

4 0
3 years ago
10. Dan picks 18 baskets of apples
Paladinen [302]

Answer:

1 basket = 24 apples

24 × 18 = 432 apples

(use cross multiplication method)

1 apple = 15 cents

432 = x

\frac{1x}{1}  = 6.480

x = 6.480 cents

7 0
3 years ago
If 20 pieces of gum cost $5.00, then at the same rate, what is the greatest number of pieces of gum Harrison can buy with $7.40
Minchanka [31]

Answer:

Harrison cab but with 7.4$ the total of  29.6 pieces of gum.

Step-by-step explanation:

Hello

This aritmethic is the three rule:

20 gum --> 5 $

then

X gum ----> 7.4 $

then

X = [(7.4)*(20)]/5

X = 29.6 gum

Best regards

4 0
3 years ago
Solve for
Alenkinab [10]

Answer:

8

Step-by-step explanation:

6h=18

6÷6=1

18÷6=3

1h=3 bushels

1:3

24÷3=8

1×8=8

8:24

8 0
3 years ago
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