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3 years ago

Fill in the blanks please.

1 answer:

6 0

Rate is a ratio that compares two quantities of different units.

I'm not sure about the blanks of the Unit rate, but I do know it a comparison of two different quantities when they are put together.

I'm really sorry about that.

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Solve the systems of equations.

rewona [7]

Answer:

x = -1 and y = -1

Step-by-step explanation:

Solve 3x+3y=−6;−x+y=0

Steps:

I will solve your system by substitution.

−x+y=0;3x+3y=−6

Step: Solve−x+y=0for y:

−x+y+x=0+x(Add x to both sides)

y=x

Step: Substitutexforyin3x+3y=−6:

3x+3y=−6

3x+3x=−6

6x=−6(Simplify both sides of the equation)

−6

(Divide both sides by 6)

x=−1

Step: Substitute−1forxiny=x:

y=x

y=−1

Answer:

x=−1 and y=−1

8 0

4 years ago

Read 2 more answers

The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to

lutik1710 [3]

Answer:

19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be $x.$

Let the quantity of brazil nuts be $y.$

So, total pound of mixture of nuts:

$x+y=36\\y=36-x\ \ \ .....(1)$

Now, the total price of mixture per pound:

$7.20(x)+4.00(y)=5.69(36)$

$7.2x+4y=204.84$

Substituting the value of $y$ from equation (1) we get:

$7.2x+4(36-x)=204.84$

$7.2x+144-4x=204.84$

$3.2x+144=204.84$

Subtracting both sides by 144 we get:

$3.2x=60.84$

Dividing both sides by 3.2 we get:

$x=19.01.$

The quantity of cashews = 19.01 pound.

Now, substituting the value of $x$ in equation (1) we get:

$y=36-x\\y=36-19.01\\y=16.99.$

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

7 0

3 years ago

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

$v_{f}$ is the final speed
$v_{i}$ is the initial speed
The unit of the acceleration is meters/second²

∵ Jim goes from 70 meters/minute (beginning speed) to

106 meters/minute (final speed) in 9 seconds

∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ $\frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}$ meters/second

∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$

- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

∴ $a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}$

∴ His acceleration is $\frac{1}{15}$ meters per seconds²

3 0

3 years ago

Error analysis

Bas_tet [7]

2(2x-1) + 2(3x)=4x-2+6x = 10x - 2 & not =10x-1

8 0

3 years ago

Read 2 more answers

F(x)=-x^2+3 find f(-2)

Black_prince [1.1K]

Answer:

f(-2) = -1

Step-by-step explanation:

f(x) = -x^2 + 3

f(-2) means when x is -2

Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1

8 0

3 years ago