Scarlet made 8 1/4 quarts of soup that she put into 1/4-quart containers. She filled each container completely before starting to fill the next container. How many containers did she fill?

Answer:

a = 0.5454545455

Step-by-step explanation:

Simplifying

3(a + 2) + 4(2a + -3) = 0

Reorder the terms:

3(2 + a) + 4(2a + -3) = 0

(2 * 3 + a * 3) + 4(2a + -3) = 0

(6 + 3a) + 4(2a + -3) = 0

Reorder the terms:

6 + 3a + 4(-3 + 2a) = 0

6 + 3a + (-3 * 4 + 2a * 4) = 0

6 + 3a + (-12 + 8a) = 0

Reorder the terms:

6 + -12 + 3a + 8a = 0

Combine like terms: 6 + -12 = -6

-6 + 3a + 8a = 0

Combine like terms: 3a + 8a = 11a

-6 + 11a = 0

Solving

-6 + 11a = 0

Answer:

2 solutions

Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

The question is incomplete. The complete question is :

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?

Solution :

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 7800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

7800 + (40 x c) ≤ 23000

7800 + 40c ≤ 23000

40c ≤ 23000 - 7800

40c ≤ 15200

c ≤ 380

Hence, the maximum number of 40 kg crate is 380.

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

Answer:

the answer is C ik its right because i did this two days ago so im sure its C

Step-by-step explanation:

Answer: 7 ft

Step-by-step explanation:

Answer:

90  

9

Step-by-step explanation:

Answer:

956

Step-by-step explanation:

Answer:

658

Step-by-step explanation:

Answer:

please give me brainlist and follow

Step-by-step explanation:

Correct option is

A

5/7

As A and B are independent

0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)

=0.3+P(B)−(0.3)P(B)

⇒0.5=(0.7)P(B)⇒7P(B)=5

Answer: A). V = 1/3(3)(3)(5)

Step-by-step explanation:

• Use the volume of a pyramid formula: V = 1/3Bh, where h is height, V is volume, and B is the base area.

• The base area is length (l) • width (w), so use that to substitute B.

• Substitute the values to get the answer: A). V = 1/3(3)(3)(5)

No problem! I'm happy to help you!

answer:

4

explanation:

3x-6=19

3x=19-6

3x=13

3x÷3=13÷3

x=4

Answer:

cut it in half, your answer is 11

Answer:

GD: 3.5

Step-by-step explanation:

You said CE is 7, and GD is half the length of CE. So based off of your answer for CE, GD equals 3.5

Answer:

8.

Step-by-step explanation:

91-35=56

56/7=8

Answer:

It's D on study island

Step-by-step explanation:

Answer:

98 m long

Step-by-step explanation:

588/6 = 98 m long

Answer:

yeah

Step-by-step explanation:

13 Dec 2020 — Multiply the divisors to find the lcm of 6, 12 and 18 ... given ratio: 5: 2: 8[tex]\frac{1245}{5+2+8}[/tex][tex]\frac{1245}{15}[/tex][tex]83[/tex]mango trees: 83 × 5

Answer:

The answer is 10,5

Step-by-step explanation:

can i have brainliest please

Answer:

I can't draw models on here but i can walk you through it

Step-by-step explanation:

A linear model is usually a graph of a line were it is going left to right. Start by collecting your data and simply place the points from decreasing order to increasing and draw a line to collect them.

Have a great day! :)

Answer:

heres a pic of what linear models look like

hope u have a great day :P

Step-by-step explanation:

Answer:

5 hours.

Step-by-step explanation:

800 wheels in 4 hours.

Half of 400 is 200.

Half one 2 is 1

So 1000 wheels. 5 hours.

Answer:Mean and Normally distributed

Step-by-step explanation:

Answer:

Stefanie bought 10 erasers.

Step-by-step explanation:

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.

Beind "x" be the number of erasers bought, you can express Stepanie's purchases by the equation:

1.75 + 0.25*x = 4.25

Solving:

0.25*x = 4.25 - 1.75

0.25*x = 2.5

x= 2.5÷ 0.25

x=10

Stefanie bought 10 erasers.

Answer:

10 erasers

Step-by-step explanation:

Answer:

Perimeter = 87.2 m

Area = 470.4 square meters

Step-by-step explanation:

Formula to get the perimeter of a rectangle = 2(length + width)

                                                                         = 2(19.6 + 24)

                                                                         = 2(43.6)

                                                                         = 87.2 m

Similarly by using formula to get the area of the rectangle,

Area = Length × Width

        = 19.6 × 24

        = 470.4 m²

9514 1404 393

Answer:

  d  2

Step-by-step explanation:

The system of equations can be written in augmented matrix form as ...

  [tex]\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right][/tex]

The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.

  [tex]\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}[/tex]

Using the Cramer's rule, the value of x in the system of equation is 2

The system of equation is given as:

-1/2x + 3y = -4

-x - y = -1

Represent the above equation as a matrix

[tex]\left[\begin{array}{cc}-1/2&3\\-1&-1\end{array}\right] \left[\begin{array}{c}-4&-1\end{array}\right][/tex]

Start by calculating the determinant of the matrix

|A| = -1/2 * -1 - 3 * -1

Evaluate

|A| = 7/2

To calculate x, we replace the first column by the last.

So, we have:

[tex]\left[\begin{array}{cc}-4&3\\-1&-1\end{array}\right][/tex]

Next, calculate the determinant of the matrix

|x| = -4 * -1 - 3 * -1

|x| = 7

The value of x is then calculated as:

x = |x|/|A|

This gives

x = 7 ÷ 7/2

Evaluate

x = 2

Hence, the value of x is 2

Read more about Cramer’s rule at:

https://brainly.com/question/11198799

#SPJ6

Answer:

2w + 2L is the answer I think, but see the discussion below.

Step-by-step explanation:

There are three possibilities.

One

| = 1

so you get 1 + w + 1 + w = 2 + 2w

Two

l = L

l + w + l + w

So you get 2l + 2w. Since the l is so confusing, I normally use L for l. It's not very pretty but it does work

In this instance, you would get 2L + 2w

Three

| could be an absolute value signal. If that is the case, you should use abs(+w+)

Of the three, I think two is what you intended.

Answer: x > 2.5

Step-by-step explanation:

Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:

x > 590/236

x > 2.5

She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.

Answer:

56 times .86=48.16

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Step-by-step explanation:

Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees