the slope is 9 and the y-intercept is - 2
the equation of a line in ' slope-intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
y = 9x - 2 is in this form
with slope m = 9 and y-intercept c = - 2
Small juice boxes come in packages of 6. Yogurt treats come in packages of 10. Paula wants to have the exact same number of each item. How many bottles of juice and individual yogurt treats will she have altogether? How many packages of each will she need?
We can see here that Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.
Since small juice boxes come in packages of 6 and yogurt treats come in packages of 10, Paula wants to have the exact same number of each item. This means that both the number of juice boxes (J) and the number of yogurt treats (Y) must be multiples of the least common multiple (LCM) of 6 and 10.
The LCM of 6 and 10 is 30.
So, Paula needs to have a multiple of 30 for both the number of juice boxes and the number of yogurt treats.
To find the values of J and Y, we can choose any multiple of 30.
Let's say Paula decides to have 30 juice boxes (J = 30) and 30 yogurt treats (Y = 30).
Now, let's find out how many packages of each she will need:
For juice boxes (packages of 6): J / 6 = 30 / 6 = 5 packages
For yogurt treats (packages of 10): Y / 10 = 30 / 10 = 3 packages
So, Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.
4v - 1 = -5v - 10. ,
Hello there!
[tex]4v - 1 = -5v - 10[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to add by 1 from both sides of the equation.
[tex]4v-1+1=-5v-10+1[/tex]
Simplify
[tex]4v=-5v-9[/tex]
Then you add by 5v from both sides of the equation.
[tex]4v+5v=-5v-9+5v[/tex]
Simplify
[tex]9v=-9[/tex]
Divide by 9 from both sides of the equation.
[tex]\frac{9v}{9}=\frac{-9}{9}[/tex]
Simplify it should be the correct answer.
[tex]v=-1[/tex]
Answer⇒⇒⇒⇒v=-1
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Graph the inequality on a number line g>2.75
Graph the inequality on a number line g>2.75
Solution
Step 1: To graph this inequality, we have to draw a number line.
Step 2: Mark the 0 in the middle and mark the each unit 0.25 so that, we can plot 2.75 exactly.
Step 3: Draw an open circle at 2.75 and extent the shadow to the right, which means the solution is greater than 2.75.
Note: Attached the graph. Please take a look at it.
Thank you :)
To graph the inequality "g > 2.75" on a number line, follow these steps. Start by drawing a horizontal number line. see image attached.
How to Graph the inequality on a number lineTo draw the inequality "g > 2. 75" on a number line, do the following steps.
Begin by making a straight line that goes from left to right. Find the spot 2. 75 and make a mark with a circle that is not filled in because the inequality is more than (not the same as).
Then, shade the region to the right of the open circle to represent all values of "g" that are greater than 2.75. This shaded area indicates the solution set. The open circle emphasizes that 2.75 itself is not included in the solution, only values greater than it.
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Three hundred millions, 6 millions, 4 tens thousands, six hundred, eight
I think the answer to this question is 306,040,608. If we are supposed to write it out then it is (3 × 100,000,000) + (6 × 1,000,000) + (4 × 10,000) + (6 × 100) + (8 × 1)
Solve for x.
−(−2−5x)+(−2)=18
A.x=−185
B.x=−90
C.x=90
D.x=185
The correct answer is none of the ones listed. The correct answer is 18/5.
In order to find this, follow the order of operations.
−(−2−5x)+(−2)=18 ---> Distribute the negative
2 + 5x - 2 = 18 ----> Combine like terms
5x = 18 -----> Divide by 5
x = 18/5
what is 34% of 510.
Tracereed,
In order to solve this question you have to divide 34 by 100 then divide that by 510.
[tex]100 \div 34[/tex][tex]510 \div 34 = 2.9411764705882[/tex][tex]15 \div 100 =173.4 [/tex][tex]173.4[/tex]Therefore "173.4 is 34% of 510!"
Hope this helps!
To find 34% of 510, first write 34% as a decimal by moving the decimal point two places to the left to get .34.
Next, the word "of" means multiply, so we are going to multiply.
(.34) (510) = 173.4
Therefore, 34% of 510 is 173.4.
What is the simplified expression for 5^-3 •2^2 • 5^6 / 2^3 •5^2 ?
Answer: [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
1. You have the following expression given in the problem above:
[tex]\frac{(5^{-3})(2^{2})(5^{6})} {(2^{3})(5^{2})}[/tex]
2. You must apply the exponents properties, as following:
- To multiply powers that has the same bases, add the exponents of the bases that are equal:
[tex]\frac{(5^{(-3+6)})(2^{2})} {(2^{3})(5^{2})}=\frac{(5^{3})(2^{2})} {(2^{3})(5^{2})}[/tex]
- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:
[tex]\frac{5^{(3-2)})} {2^{(3-2)}}=\frac{5}{2}[/tex]
3. Therefore, the answer is [tex]\frac{5}{2}[/tex]
Answer:
5/2
Step-by-step explanation:
putting the exponents and then
A smaller square park has an area 3600 square meters what is the length of one side of the park
Squares have equal side lengths, so that is why the question is only asking for one side length.
The area of a square is calculated using the formula s^2, where s stands for a side of the square.
To find the length of one side of the park, you can take the given area (3,600 m^2) and square root it. This would give you the length of one side of the square park.
√3,600 = 60
The length of one side of the park is 60 meters.
The length of one side of the square park with an area of 3600 square meters is 60 meters.
Explanation:Given that the area of the square park is 3600 square meters, we can calculate the length of one side by taking the square root of the area. This is because the area of a square is calculated by squaring the length of one side (side length X side length). So, if we reverse this process by taking the square root, we find the length of one side.
So, "the length of one side of the park is the square root of 3600 which equals 60 meters".
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fred has two types of peanut butter,three types of jelly, and one type of bread. how many different peanut butter and jelly sandwich can he make?
Answer:
6
Step-by-step explanation:
fred has 2 peanut butter and 3 jelly
type 1 peanut butter can go with all three types of jelly = 3 pb&js where ther is one constant peanutbutter and 3 different jellys
type 2 peanut butter can go with all three jellies = 3 pb&js where there is one constant peanutbutter and 3 different jellies
3+3=6
there are 6 peanut butter and jelly sandwhiches he could make.
you can also just multiply the numbers (2x3=6)
Final answer:
Fred can make 6 different peanut butter and jelly sandwiches by multiplying the number of peanut butter types by the number of jelly types (2 types of peanut butter × 3 types of jelly). The type of bread does not affect the count as there's only one type.
Explanation:
To determine how many different peanut butter and jelly sandwiches Fred can make, we need to consider all possible combinations of peanut butter, jelly, and bread. Since Fred has two types of peanut butter, three types of jelly, and one type of bread, the number of different sandwich combinations can be calculated using the Counting Principle. This principle states that if there are n ways to do one thing, and m ways to do another, then there are n × m ways to do both.
In Fred's case, for every type of peanut butter, he can choose from three different types of jelly. So, for two types of peanut butter, we have:
2 types of peanut butter × 3 types of jelly = 6 combinations
Since there's only one type of bread, it doesn't change the number of combinations.
Therefore, Fred can make 6 different peanut butter and jelly sandwiches.
What is 2 hundreds+ 2 tens + 18 ones
When you add them together you get 238.
Which answer is correct for 20-8 19 or 10 put your answer please
20 - 8 = 12
Hope this helps
-AaronWiseIsBae
That equals 12. The reason is because 20-8 is twelve.
solve the compound inequality graph the solution -4<2x-2<14
[tex]-4 < 2x-2 < 14\qquad|+2\\\\-2 < 2x < 16\qquad|:2\\\\-1 < x < 8[/tex]
5 percent of jasmines jokes are funny. If she makes 16 funny jokes this, year how many total jokes does she make?
it is very sad but she makes 320 jokes and only 16 of them are funny
step by step equation
16 ÷ 0.05 = 320
brainliest por favor
pfffft! that is great, but to get serious (poor frickin' Jasmine!) she makes about 59 funny jokes! maybe she needs to go back to clown school I make 59' funny jokes an hour! I hope this makes you laugh but more importantly I hope it helps you and I pray that ya get a big 100% ;-)
Three different car are available to take five women and a man on a particular journey. In how many different ways can the six people be allocated to the car so that the man is alone.
To find the number of ways six people can be allocated to three different cars with the man alone, we consider the man's three choices and then partition the five women into the remaining two cars in all possible ways, then multiply by the man's choices.
Explanation:The question asks for the number of different ways six people can be allocated to three different cars, ensuring the man is alone. Since there are three cars, the man has three choices of cars to be alone in. After the man has chosen his car, we have five women and two remaining cars. The five women can be distributed in these cars in a 5-partition of two numbers, which means the number of ways we can divide five into two groups without considering order.
The possible partitions for the five women are (3,2), (4,1), and (5,0). For each partition, there are combinations of woman that can occupy the cars. For example, for partition (3,2), we have 5 choose 3 ways to choose which three women are in the first car and the remaining two automatically go to the second car. We repeat this process for each partition. Finally, we must multiply the number of ways for each partition by the three initial choices the man had to get the total number of combinations.
The number 3.14 is a rounded value of the mathematical quantity pi. If you replace 3.14 with pi what is the exact formula for the circumference in terms of the diameter d and in terms of the radius, r?
C = πd ( in terms of the diameter ), C = 2πr ( in terms of the radius )
HELP ME PLZ WILL MARK BRAINLIEST
Not 100% sure, but i think the answer is A. 1,365, Sorry if i get you wrong.
A furniture store can spend no more than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of cloth and $ 10 per foot of wood. To summarize the situation, a worker writes the inequality: 5 x + 10 y ≤ 5,000 , where x is the number of square feet of cloth material and y is the number of feet of wood. Which graph's shaded region shows the possible combinations of raw materials the company can buy? I need the graphing answer
The third graph in the image is showing the best results of the inequality 5 x + 10 y ≤ 5,000.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of cloth and $ 10 per foot of wood. To summarize the situation, a worker writes the inequality: 5 x + 10 y ≤ 5,000.
The inequality is graphed and the graph is attached with the answer below with the answer.
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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp contains 2 g fat and 5 mg iron. each 1 cup of brown rice contains 6 g fat and 7 mg iron. how many servings of shrimp and brown rice should be in the meal?
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.
Walkway Over the Hudson; a bridge that crosses the Hudson River in Poughkeepsie is 2.063 kilometers. Anping Bridge, which was built 850 years ago, is 2.07 kilometers long. Which bridge is longer? How my longer?
For this case we have:
Bridge 1: 2.063 kmBridge 2: 2.07 kmAs both measurements are in kilometers, we can compare both numbers.
It is known that [tex]2.07> 2.063[/tex]
Thus, the longest bridge is bridge 2.
To know the difference in length between the bridges, we subtract the quantities:
[tex]2.07-2.063 = 0.007[/tex] kilometers difference
The difference between the two bridges is 0.007 km
Answer:
The longest bridge is bridge 2
The difference in length between the bridges of 0.007 km
The Anping Bridge is 0.007 kilometers or 7 meters longer than the Walkway Over the Hudson.
Explanation:The Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers long. The Anping Bridge, which was built 850 years ago, is 2.07 kilometers long.
Therefore, the Anping Bridge is longer than the Walkway Over the Hudson by 0.007 kilometers or 7 meters.
To calculate the difference in length, subtract the length of the Walkway Over the Hudson from the length of the Anping Bridge.
7 meters or 0.007 kilometers
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Which value(s) from the set {5,7,9,11,13} make the inequality w-4<8 true?
Rewrite the inequality as
[tex] w<12 [/tex]
by adding 4 to both sides.
So, you want to pick only the values that are strictly less than 12, i.e. all of the values except 13.
Can someone solve this question for me?
-3 should be you answer!
the answer is (a-3)
Last summer Karl went to the beach every 5 days Antonia went to the beach every 7 days . How often did they see each other?
What is the x-intercept of the line with the equation 1/2x + y= -15 ? Please help
13-8+3 evaluate using the Order of Operation
You would just subtract/add like you normally would from left to right because its a subtract and add operation.
Hope that helps :)
-1 1/5 + 3/4 I’m bad with fractions and don’t know how to do these it’s due tomorrow
-1 1/5 + 3/4 = -0.45
1/5 is 0.2 in decimal form, and 3/4 is 0.75:
-1.2 + 0.75 = -0.45
Hope this helps!
First make into improper fraction
-6/5 +3/4
Then find common denominator= 20
-24/20 +15/20 = -9/20
Mai has 40 tens. Write how many hundreds. Write the number.
The number is 400.
To find out how many hundreds Mai has, let's understand that each ten is equal to 10. So, if Mai has 40 tens, we can calculate how many ones that is in total:
40 tens * 10 = 400 ones
Now, since there are 100 ones in one hundred, we divide the total number of ones by 100 to find out how many hundreds Mai has:
400 ones / 100 = 4 hundreds
So, Mai has 4 hundreds.
Now, let's write the number:
If Mai has 4 hundreds, it means the digit in the hundreds place is 4. Since she has no tens, the digit in the tens place is 0. And since she has no ones, the digit in the ones place is 0.
The expression 21m−49n factored using the GCF is
HeLp!!!!!!!!!!!!!!!!!!!!
1. matter is made up of what atoms and molecules are made of, meaning anything made of positively charged protons, neutral neutrons, and negatively charged electrons.
2.Atoms comprise of the nucleus (which contains protons and neutrons) and electrons. Conversely, a molecule comprises of two or more, identical or different atoms, combined chemically.
3. Pure substances cannot be separated into any other kinds of matter, while a mixture is a combination of two or more pure substances.
4. A compound is a pure substance composed of two or more different atoms chemically bonded to one another.
hope this helps!
-1/9+-5/9=
Simplest form
24 points
Answer,
-1/9 + -5/9 = -2/3
Hope this helps :-)
Subtract 9,002,000 - 5•10^6
A. 4.002
B. 4.002 X 10^3
C. 4.002 X 10^4
D. 4.002 X 10^6
4,002,000
answer is D
By Subtracting the given Expression 9,002,000 - 5•[tex]10^6[/tex] we get Option C. 4.002 x [tex]10^4[/tex].
To subtract 5 • [tex]10^6[/tex] from 9,002,000, we simply perform the arithmetic operation as follows:
9,002,000 - 5 • [tex]10^6[/tex]
Step 1: Subtract 5 • [tex]10^6[/tex] from 9,002,000
= 9,002,000 - 5 • [tex]10^6[/tex]
= 9,002,000 - 5,000,000
Step 2: Perform the subtraction
= 9,002,000 - 5,000,000
= 4,002,000
Now, we have the result of 4,002,000. However, we need to write this answer in scientific notation.
In scientific notation, a number is written as a product of two parts: a coefficient and a power of 10. The coefficient must be greater than or equal to 1 and less than 10.
To express 4,002,000 in scientific notation, we move the decimal point to the left until we have a number between 1 and 10.
Since 4,002,000 = 4.002 × 1,000,000, we can write it as 4.002 × [tex]10^6[/tex].
However, our options are given in terms of powers of 10 from [tex]10^3[/tex] to [tex]10^6[/tex]. We can rewrite 4.002 × [tex]10^6[/tex] as 4.002 × ([tex]10^6[/tex] ÷ [tex]10^2[/tex]) = 4.002 × [tex]10^{(6-2)}[/tex]
= 4.002 × [tex]10^4[/tex].
Therefore, the correct answer is option C, 4.002 × [tex]10^4[/tex].
In summary, to find the result of 9,002,000 - 5 • [tex]10^6[/tex], we perform the subtraction to get 4,002,000, and then we express it in scientific notation as 4.002 × [tex]10^4[/tex]. Option C is the correct choice.
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