Which ones are correct ✅

5/6 x 3/20 as a fraction

Fantom [35]

Answer:

1/8

Step-by-step explanation:

7 0

3 years ago

Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent

svetlana [45]

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

x = price of a hosta .
y = price of a pot of ivy.

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

$\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.$

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

$y=\frac{62-5*x}{4}$

and replacing this expression in the second equation you get:

$8*x +12*\frac{62-5*x}{4}=144$

Solving:

$8*x +\frac{12}{4}*(62-5*x)=144$

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

<u><em>The cost of one hosta is $6</em></u>

8 0

3 years ago

Stephen evaluated (6.34 x 10^-7)(4.5 x 10^3). His work is shown below. Which statements describe his errors? Check all that appl

Lostsunrise [7]

We have the following expression:
(6.34 x 10 ^ -7) (4.5 x 10 ^ 3)
The solution shown is:
(6.34 x 10 ^ -7) (4.5 x 10 ^ 3)
(6.34 x 4.5) (10 ^ -7 x 10 ^ 3)
28.53 x 10 ^ -4
-28.53 x 10 ^ 4
-2.853 x 10 ^ 3
The errors are:
A. He changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.
D. He got the wrong value for the coefficients; 28.53 x 10^-4 is not possible. The coefficients in scientific notation are always greater than 1, but less than 10.

3 0

4 years ago

Read 2 more answers

A man is on a diet and goes into a shop to buy some turkey slices. He is given 3 slices which together weigh 1/3 of a pound but

PolarNik [594]

Answer:

2.25

Step-by-step explanation:

In this question, we are asked to calculate the number of slices to be eaten by a man who has restrictions on his diet.

Firstly, as we can see, he bought 3 which weighs a total of 1/3 pounds. The weight of one of this would be 1/3 divided by 3 = 1/9 pounds

Now to stay true to his weight by not exceeding 1/4, we need to know how many of the 1/9 can he eat. To solve this, we directly divide 1/9 by 1/4 = 1/4 divided by 1/9 = 2.25

5 0

4 years ago

Read 2 more answers

A bicycle has a listed price of $593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales

Pani-rosa [81]

The answer should be $650.40. I hope this helps!

6 0

3 years ago