A restaurant owner washed 94 kilograms of vegetables, some spinach and some cucumbers. The spinach came in 10-kilogram bags and the cucumbers came in 9-kilogram bags. The owner washed 10 bags of vegetables in all. How many bags of each kind did he wash?

Answers

Answer 1

Answer:

6 bags of cucumber

4 bags of spinach

Step-by-step explanation:

let s = number of bags of spinach

let c = number of bags of cucumber

If the owner washed 10 bags of vegetables in total, then

s + c = 10

The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:

10s + 9c = 94

Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:

s + c = 10

⇒  s = 10 - c

⇒ 10(10 - c) + 9c = 94

⇒ 100 - 10c + 9c = 94

⇒ -c = -6

⇒ c = 6

Substitute c=6 into s + c = 10 and solve for s:

s + 6 = 10

⇒ s = 4


Related Questions

The amusement park installed a new 260-foot-tall ride. This ride is 78 feet taller than the next tallest ride in the park.
Write an equation using the subtraction property of equality that results in the height of the second tallest ride in the park. Explain your equation.

Answers

Answer:-

[tex]\boxed{\huge \text{182 feet}}[/tex]

Step-by-step explanation:

Let the height of the next tallest rider be t feet

Since the 260-foot-tall ride is 78 feet taller than the next tallest;

That means t = 260 - 78 = 182 feet



Therefore, the height of the second tallest ride in the park = 182 feet.

[tex]\huge \text{hope this helps! :)}[/tex]

-InLoveWithNature-

This is with tangents I have already figured out one portion of the prolem please help

Answers

Answer:

-5

Step-by-step explanation:

when something is squared it can be positive or negative

What is the percent of change if 38 is decreased to 25? round to the nearest whole number

Answers

Answer:

7.89474% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 38 to V2 = 35

(V2−V1)|V1|×100

=(35−38)|38|×100

=−338×100

=−0.0789474×100

=−7.89474%change

=7.89474%decrease

bntu segera y mksh. ​

Answers

Step-by-step explanation:

1. Clean the floor now.

2. Clean the blackboard.

3. Make sure your friends never drives fast again

4. Go and serve a glass of juice to your friend

5. Tell your friend to not speak loud.

is a rectangle. and . What is ?


A.
12
B.
6
C.
15
D.
24

Answers

Answer:

6

Step-by-step explanation:

diagonals bisect each other in rectangle

3x-6 = 2x

x=6

Im du.mb at this stuff, i dont know how to do it

Answers

Answer:

the correct answer will be 88

Answer:

Area of the shaded region 45.76 cm².

Step-by-step explanation:

Firstly, finding the area of rectangle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

→ A = Area→ l = length → b = breadth

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 8}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 96}}}\\\\\qquad{\star{\boxed{\sf{\pink{A_{(Rectangle)} = 96 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of rectangle is 96 cm².

[tex]\rule{200}2[/tex]

Secondly, finding the area of circle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}}[/tex]

→ A = Area → π = 3.14 → r = radius

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4\times 4)}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14(16)}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 16}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} \approx 50.24}}} \\ \\ \qquad{\star{\boxed{\sf{\purple{A_{(Circle)} \approx 50.24 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of circle is 50.24 cm².

[tex]\rule{200}2[/tex]

Now, finding the area of shaded region by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}[/tex]

→ A = Area→ Rectangle → Circle

[tex]\begin{gathered}{\quad{\longrightarrow{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} = 96 - 50.24}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} \approx 45.76}}}}\\\\{\quad{\star{\boxed{\sf{\red{A_{(Shaded)} \approx 45.76 \: {cm}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of shaded region is 45.76 cm².

[tex]\rule{300}{2.5}[/tex]

What is the solution to |2x-8|=6?

Answers

Answer:

x = 7, 1 (Multiple solutions)

Step-by-step explanation:

2(7) - 8 = 6

14 - 8 = 6

6 = 6

| 2(1) - 8 | = 6

| -6 | = 6

6 = 6

What is slope and how do you find it?

Answers

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{y2 - y1}{x2-x1}[/tex]

If two coordinates be (x1,y-1) and (X2,Y2)

Slope:-

m=y2-y1/x2-x1

If a line be ax+by+c=0

Slope'-

m=-a/b

Completely factor the polynomial 8x2 – 24x 20x – 60. 8x(x 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x 5) 4(x – 3)(2x 5).

Answers

Polynomials consist of both indeterminates and coefficients. The factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

What are polynomials?

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

8x² - 24x + 20x - 60

We can factorize the polynomial in the following manner,

[tex]8x^2 - 24x + 20x - 60[/tex]

taking two as the factor commons from the entire polynomial,

[tex]=2[4x^2 - 12x + 10x - 30][/tex]

Now, taking 4x as the common factor from the first two terms of the brackets, also, take 10 as the common factor from the last two terms of the brackets,

[tex]=2[4x(x - 3) + 10(x - 3)]\\\\=2[(4x+ 10)(x - 3)]\\\\= 2 (4x+10)(x-3)[/tex]

Hence, the factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

Learn more about Polynomials:

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Answer: 4(x – 3)(2x + 5)

Step-by-step explanation: did no one use the formula that was given to you?

3. ^2x + 6 = 2
solve radical equations?

Answers

Answer:

x = - 2

Step-by-step explanation:

2x + 6 = 2

2x = 2 - 6

2x = -4

x = -4/2

x = - 2

Hope it helps ⚜

If the sum of two
prime numbers is 2013,
what is their product?

Answers

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

3 x 11 x 61 are all prime. Their sum is 3+11+61 = 75

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

Their sum is 3+11+61 = 75

3,11,61 are all prime numbers

hope this helps

what is the gradient of the blue line ??

Answers

Answer:-5

Step-by-step explanation:

The solution is in the attached file below

The gradient of the blue line that passes through the points (-1, 0) and (0, -5) is -5.

What is the slope ( gradient ) of the line?

The Slope (gradient) is simply expressed as a change in y over the change in x.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The blue line in the graph runs through points (-1, 0) and (0, -5).

To find the gradient (slope) of the blue line passing through the points (-1, 0) and (0, -5), we use the slope formula.

Point (-1,0): x₁ = -1 and y₁ = 0

Point (0, -5): x₂ = 0 and y₂ = -5

Plug the coordinates into the above formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{-5 - 0}{0 - (-1)}\\\\Simplify:\\\\m = \frac{-5 - 0}{0 + 1}\\\\m = \frac{-5}{ 1}\\\\m = -5[/tex]

Therefore, the slope is -5.

Learn more about slope formula here: brainly.com/question/24578307

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Essay about how we use math in our every day life. Give me a paragraph or something pleaseee

Answers

Answer:

Math is required in every day life. When you go to the grocery store determining which is the better deal. Or when cooking to figure out exactly what ingredients you need or hu=ow much. Math is required everyday to do very simple tasks

Step-by-step explanation:


Sarah wants to buy a new iphone for $799. The tax for the phone will be 7%. What will she pay in total for the phone

Answers

Answer:

854.93

Step-by-step explanation:

I answered hope it helps

find any 4 rational numbers between -1/2 and 1/2​

Answers

Answer:

Step-by-step explanation:

Multiply the numerator and denominator of rational numbers by 5

[tex]\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}[/tex]

Hence, write down the equation with Y as subject (in terms of x) to represent the production cost. The value of A,B and C must be included

Answers

The production cost is an illustration of a quadratic function

The equation of the production cost is [tex]y = ax^2 + bx -c[/tex]

How to determine the equation

From the complete question, we have the following parameters:

Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)

Using the instructions in the complete question, the equation of the production cost would be:

[tex]y = ax^2 + bx -c[/tex]

Hence, the production cost is [tex]y = ax^2 + bx -c[/tex]

Read more about production cost at:

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3ab+4ab^3 I really need help please help meeeee!!!!

Answers

Answer:

ab times (3+4b^2)

Step-by-step explanation:

You would factor the equation.

How do I find the value of x?? please help

Answers

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

Which of the following is equivalent to 23 X^-1/2

Answers

Answer:

The answer is 42/2

Step-by-step explanation:

I am so sorry if its not correct please tell me so i can fix my mistake if so.

Which shows the domain and range of these functions? Domain: (Negative infinity, infinity) Range: (Negative infinity, infinity) Domain: (0, infinity) Range: (Negative infinity, infinity) Domain: (Negative infinity, infinity) Range: (0, infinity).

Answers

The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).

What is domain and range of function?

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

Given information-

The function given in the problem is,

[tex]y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)[/tex]

As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.

Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,

Domain: (-∞, ∞).

Range of a function is the set of all the possible output values which are valid for that function.

Here the output for the given function gives the positive values to the infinite. thus the range of the function is,

Range: (0, ∞).

Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).

Learn more about the domain and range of the function here;

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Answer:

Answers for entire slide:

1. B, and D

2. All of them

3. only correct one is C.

Step-by-step explanation:

Source: trust me bro

the sum of a numner x and 4 equals 12

Answers

SOLUTION:

=) x + 4 = 12

=) x = 12 - 4

=) x = 8

Evelyn drew a marble at random from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles. What is the probability that Evelyn selected a marble that is NOT red?

3/14
11/14
3/11
3/7
SHOW WORKK

Answers

Answer:

The probability that she picked a card that is not red is 11/14

Step-by-step explanation:

Number of blue marbles n(blue)=4

Number of red marbles n(red)=3

number of yellow marbles n(yellow)= 2

number of green marbles n(green)=5

total number of marbles n(S)=4+3+2+5=14

P(red)=n(red)/n(S)

P(red)=3/14

We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.

P(not red)=1-P(red)

               =1-3/14

                =11/14

Hope this helps

Excerpt from Brainly

one number is three less than twice another . the sum of their square is 117 . find the numbers.​

Answers

Answer:

-10.2 and -7.2

6 and 9

Step-by-step explanation:

Let the numbers be x and y.

x² + y² = 117

y = 2x - 3

x² + (2x - 3)² = 117

x² + 4x² - 12x + 9 = 117

5x² - 12x - 108 = 0

(5x + 18)(x - 6) = 0

5x + 18 = 0  or x - 6 = 0

x = -18/5 or x = 6

x = -3.6 or x = 6

y = 2x - 3

y = 2(-3.6) - 3

y = -10.2

y = 2x - 3

y = 2(6) - 3

y = 9

Answer:

-3.6 and -10.2

6 and 9

4(x+1 1/3) =9 2/3 enter your answer as a mixed number in simplest from​

Answers

Answer:

x = 13/12

x = 1 1/12

Step-by-step explanation:

4 (x + 1 1/3) = 9 2/3

4x + 5 1/3 = 9 2/3

subtract 5 1/3 from each side

4x = 4 1/3

divided by 4 on each side

x = 13/12

x = 1 1/2

hope this helps! :)

9) Sandra cut a piece of fabric in half to create two congruent rectangles that were each 8 feet long and 2 feet wide. What was the area of the original piece of fabric in square feet?

Answers

u have to divide 8 and 2 which is 4

Answer:

32 ft²

Step-by-step explanation:

Area of the cut rectangle:

A = lw = 8*2 = 16 ft²

The area of the original fabric is twice the cut one:

16*2 = 32 ft²

What is the solution 2/3 a +6 > 0

Answers

Answer:

a > -9

subtract 6 from both sides to get 2/3 a > -6. Then multiply both sides by 3 to get 2a > -18. Last, divide both sides by 2 to get your answer: a > -9

Answer:

a > (-9)

Step-by-step explanation:

[tex] \frac{2}{3} a + 6 > 0 \\ \frac{2}{3} a + 6 - 6 > 0 - 6 \\ \frac{2}{3} a > - 6 \\ \frac{2}{3} \times 3 \: \: a > - 6 \times 3 \\ 2a > - 18 \\ \frac{2a}{2} > \frac{ - 18}{2} \\ a > (- 9) \\ [/tex]

Describe how to determine f(x) and g(x) when x=5

Answers

Answer:

brainly is the best study app in the world

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?

Answers

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

06.05 Data Observation
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.

Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:

Result Frequency
Two heads
Two tails
One head, one tail
Answer the following questions based on the data you gathered. You must show your work to receive credit.

What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answers

1. What is the theoretical probability that a coin toss results in two heads showing? 0.25

2. What is the experimental probability that a coin toss results in two heads showing? 0.5 x 0.5

3. What is the theoretical probability that a coin toss results in two tails showing?1/2

4.  What is the experimental probability that a coin toss results in two tails showing?1 in 4

5. What is the theoretical probability that a coin toss results in one head and one tail showing? 0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing? .5

7.  Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? The theoretical is slightly higher than expected

Which could be the function? f(x) = (x 4)2 f(x) = x2 4 f(x) = (x – 4)2 f(x) = x2 – 4.

Answers

Answer:

C. f(x) = (x-4)^2

Step-by-step explanation:

The function among the given option is f(x) = (x – 4)² hence option (C) will be the correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that which one is a function so it is clear that f(x) = (x – 4)² is the best relation between x and f(x).

Hence this option will be the correct answer.

For more about the function

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