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2 years ago

Solve for x: three fourths times x plus five fourths equals four times x

Mathematics

1 answer:

denis-greek [22]2 years ago

5 0

Answer:

The value of x for the given expression is $\dfrac{5}{13}$

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, $\dfrac{3}{4}$ × x + $\dfrac{5}{4}$ = 4 × x

Now, rearranging the equation

i.e 4 x - $\dfrac{3}{4}$ × x = $\dfrac{5}{4}$

Or, 4 x - $\dfrac{3 x}{4}$ = $\dfrac{5}{4}$

Or, $\dfrac{16 x - 3 x}{4}$ = $\dfrac{5}{4}$

Or, $\dfrac{13 x}{4}$ = $\dfrac{5}{4}$

Or, 13 x = $\dfrac{5}{4}$ × 4

Or, 13 x = 5

∴ x = $\dfrac{5}{13}$

Hence, The value of x for the given expression is $\dfrac{5}{13}$ Answer

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a rectangular flower garden has area of 32 square feet. if the width of the garden is 4 feet less than the length, what is the p

qaws [65]

Let length be x feet
length= x
width=x-4
area = 32
length * width=32
x(x-4)=32
x^2 - 4 x -32=0
(x-8)(x+4)=0
x=8 feet
length=8 feet
width=4 feet
perimeter=2(len+wid)
=2(8+4)
2*12=24 feet

6 0

2 years ago

I have a map where indy and ft. Wayne are 3 centimeters apart. Kokomo and indy are 1.5 cm apart on the map. If i know that indy

marta [7]

Indy and kokomo will be 60 miles apart in real life.

Explanation

On the map, Indy and ft. Wayne are 3 cm apart and Kokomo and Indy are 1.5 cm apart.

So, the ratio of the distance between Indy and ft. Wayne to the distance between Kokomo and Indy will be: $3: 1.5 = 30:15= 2:1$

Now, lets assume that real distance between Indy and ft. Wayne is $2x$ cm and real distance between Kokomo and Indy is $x$ cm.

Given that, the real distance between Indy and ft. Wayne is 120 miles.

That means....

$2x= 120\\ \\ x= \frac{120}{2}=60$

So, Indy and kokomo will be 60 miles apart in real life.

3 0

2 years ago

Timothy is putting fertilizer on a field after planting some crops. The directions on the barrel state to use 0.75 quarts for ea

mote1985 [20]

Answer

Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .

To proof

As given

Timothy is putting fertilizer on a field after planting some crops

The directions on the barrel state to use 0.75 quarts for each acre of land.

fertilizer will Timothy need for 22.5 acres = 22.5 × 0.75

= 16.875 quarts

fertilizer will Timothy need for 38.25 acres = 38.25×0.75

= 28.6875 quarts

total fetilizer Timothy need for two fields = 16.875 + 28.6875

= 45.5625

= 45.6 ( approx )quarts

Therefore the total fertilizer will Timothy need for two fields be 45.6 ( approx )quarts .

Hence proved

6 0

2 years ago

200 students attend a school which offers French and History. 10% of those who take History also take French and 4 times as many

SIZIF [17.4K]

Answer: P(hist& french)=16/200=0.08

Step-by-step explanation:

To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)

1. Lets find the number of students that take History or French or both.

We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184

2. Let number of students that takes French (or both Fr+Hist)=x (left circle)

So number of students that takes History (or both Fr+Hist)=4x (right circle)

So number of students that take both French+History= 10% from 4x or

0.1*4x=0.4x (circles' intersection)

3. Now we have the equation as follows:

x+4*x-0.4*x = 184

4.6*x=184

x=40 students takes French (or both French+ History)

4*x= 40*4=160 students takes History (or both French+ History)

10% from 160 =0.1*160=16 students takes both History and French

P(hist& french)=16/200=0.08

7 0

2 years ago

Solving exponential growth and decay problems

Paul [167]

See tha attached pdf file and let me know how useful this answer is.

Download pdf

6 0

2 years ago