All categories

3 years ago

1.4-5.6(3.4-5x)=10.24 i need help

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

x=1.00

Step-by-step explanation:

1.4-5.6(3.4-5x)=10.4

1.4-19.04+28x=10.4

-17.64+28x=10.4

28x= 10.4+17.64

28x=28.04

x=28.04

x=1.00

You might be interested in

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

$x+3y\le 36.$

2. Tyler can carry up to 20 pounds of food in his backpack, then

$x+1.5y\le 20.$

You get the following system of inequalities:

$\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.$

Now substitute the coordinates of each point:

(1,12):

$\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.$

False, because first inequality doesn't hold.

(2,10):

$\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.$

True, both inequalities hold.

(4,5):

$\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.$

True, both inequalities hold.

(6,10):

$\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.$

False, because secondt inequality doesn't hold.

(12,8):

$\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.$

False, because second inequality doesn't hold.

(18,6):

$\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.$

False, because second inequality doesn't hold.

7 0

3 years ago

Find the value of X. Round to the nearest tenth. 7.4in 2.4in x

Darya [45]

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

3.7 is half the length of the chord i.e 7.4/2

Thus;

using Pythagoras’ theorem

x^2 = 2.4^2 + 3.7^2

Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Thus;

x^2 =5.76 + 13.69

x^2 = 19.45

x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

6 0

2 years ago

Read 2 more answers

What is x^4+25 factored

OLga [1]

(x^2+5)(x^2-5)

I hope this helps :)

3 0

3 years ago

Read 2 more answers

K - 263.48 = 381.09 solve this equation

Sedbober [7]

K-263.48=381.09
we add 263.48 on both sides
k=644.57

7 0

4 years ago

Read 2 more answers

What is the solution for 2y=x+2 x-3y=-5

Mars2501 [29]

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

2y = x + 2
x - 3y = -5

Second equation can be written as ,

x - 3y = -5
-3y = -x - 5

Adding them :-

-3y + 2y = 2 -5
-y = -3
y = 3

Put this in (ii) :-

x = 3y - 5
x = 3*3 - 5
x = 9 -5
X = 4

8 0

3 years ago

Read 2 more answers