To solve the equation, we first distribute the 2 on the left, then collect like terms and finally isolate x. The solution to the equation 2(x + 3) = x + 10 is x = 4.
Explanation:Solution for the EquationTo solve the equation 2(x + 3) = x + 10, we will first distribute the 2 on the left-hand side of the equation to get 2x + 6. Therefore, the equation becomes: 2x + 6 = x + 10.
The next step is to collect like terms. To do this, we subtract x from both sides, which gives us: x + 6 = 10.
Finally, to solve for x, we subtract 6 from both sides of the equation: x = 4. Hence, the solution to the equation 2(x + 3) = x + 10 is x = 4.
Learn more about Solving Equation here:
https://brainly.com/question/18322830
#SPJ6
Final answer:
x = 4
Explanation:
To solve the equation 2(x + 3) = x + 10, we first expand the left side of the equation:
2 × x + 2 × 3 = x + 10
2x + 6 = x + 10
Now subtract x from both sides to move all x terms to one side:
2x - x + 6 = 10
1x + 6 = 10
Subtract 6 from both sides to solve for x:
x = 10 - 6
x = 4
Thus, the solution to the equation is x = 4. Checking the solution, we substitute x back into the original equation:
2(4 + 3) = 4 + 10
2(7) = 14
14 = 14
a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?
In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.
1 tsp = 0.5 fl oz
4 tsp = 2 fl oz
Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.
Need help with this, thanks.
Answer:
13. 27 + 12 = 39
14. 2x+8/2 = 2(x + 4)
15. 8+ 16 = 24
16. 11x=55/11 = 11(x + 5)
17. 24x + 18y/6 = 6(4x + 3y)
18. 16x + 40y/8 = 8(2x + 5y)
19. 10x + 15/5 = 5(2x + 3)
I truly hope that this was helpful.
There are 136 people waiting for a river raft ride.Each raft holds 8 people Silvia
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
Five of Janine's friends are selected and asked for whom they intend to vote.
The polling methods likely to be biased are when Option d. Five of Janine's friends are selected and asked for whom they intend to vote.
When conducting a poll, it is important to ensure the sampling method is random and representative. Here are the methods and their potential biases:
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote. — This method is likely to be biased because it relies on the initial selection of supporters, which creates a non-random and unrepresentative sample.Every 10th club member from a list of all members is selected and asked for whom the member intends to vote. — This method is less likely to be biased as it uses systematic sampling, which is more representative of the entire population.From a list of all club members, 25 members are selected at random and asked for whom they intend to vote. — This method is unlikely to be biased because it employs a simple random sample, ensuring each member has an equal chance of being selected.Five of Janine's friends are selected and asked for whom they intend to vote. — This method is likely to be biased due to the convenience sampling of her friends, which is not representative of the entire club.Hence option D is likely to be biased.
Complete question:
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
a. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
b. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
c. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
d. Five of Janine's friends are selected and asked for whom they intend to vote.
solve for x: A=2xy what is the answer
Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, making the ratio of avocado trees to apple trees be to .
Answer:
3 to 10 OR 3:10
Step-by-step explanation:
The measure of an angle is 63 degrees. What is the measure if it’s supplement
The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.
What are supplementary angles?Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.
Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.
We have been given that the measure of an angle is 63 degrees.
To determine the measure if it’s a supplement
We know that supplementary angles whose pairings sum up to 180°
Let the required supplement angle would be x
As per the property of supplementary angles, we can write the equation as:
⇒ x + 63° = 180°
⇒ x = 180° - 63°
⇒ x = 117°
Therefore, the measure of its supplement angle is 117 degrees.
Learn more about supplementary angles here:
brainly.com/question/3027144
#SPJ6
Four days before the 1997 500 Festival Parade, a fire destroyed 10 of the 14 floats. People wanted to know if the parade would be canceled. During the first two days after the fire, the Festival received an average of 22 incoming calls a minute. How many calls did the Festival receive in an hour? How many calls did the receive in 12 hours?
**The parade went off as planned four days later. More than 250,000 people lined the streets to view huge posters and replicas of the floats.
Please explain I don’t know how to do this♀️
graph the quadratic function f(x)=(x−4)(x+2).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
GRAPH FOR BRAINLIEST
Answer:
(1,-9) and (0,-8)
Step-by-step explanation:
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen
For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.
In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:
Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet.
Answer with explanation:
Width of Rectangular Garden = 9 feet
Length of rectangular Garden = 12 feet
Perimeter of any polygon = Sum of length of all sides
Perimeter of Rectangle =Length + Breadth+Length + Breadth
= 2×(Length + Breadth )
= 2 × (12 +9)
= 2 × 21
= 42 feet
So,the expression which will be equal to perimeter of Rectangle =42 feet
On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?
A. y = (15x^2 + 60) chairs
B. y = (15x^2) chairs
C. y = (15x^2 + 16) chairs
D. y = (15x^2 +68x +60) chairs
Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than $300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?
Answer: The required inequality will be 50+x>$300
Step-by-step explanation:
Since we have given that
Amount raised for charity = $10
Amount raised on Saturday = $50
Amount raised on both Saturday and Sunday is more than $300.
Let the amount raised on Sunday be 'x'.
So, Inequality becomes,
Saturday + Sunday > $300
50+x>$300
x>$300-$50
x>$250
So, On Sunday he must raised more than $250.
Hence, the required inequality will be
50+x>$300
Which of the following are geometric sequences?
(check all that apply)
A. 2,-2,2,-2,2,-2,2
B. 1,4,9,16,25,36,49
C. 10,5,2.5,1.25,0.625,0.1325
D. 1,2,4,8,16,32
sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use
Me and my mate Dave order pizzas.I eat six eights of mine, Dave only manages two sevenths of his. If we put the remains together,can we make one whole pizza?
how many pairs of parallel sides does the quadrilateral appear to have
The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:
What is the y-intercept of the line of best fit and what does it represent?
6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read
Answer:
The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.
Step-by-step explanation:
The y intercept is marked as hours spent on social media.
So, the answer is :
8 hours; the number of hours students spend on social media when they do not read.
Madison drove from Atlantic City to newmark. Madison drove for 284 miles at a constant speed of 58 mph how long did it take for Madison to get there?
You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.
An equation is y= ___ It takes minutes to bike to the park.
It takes ____ minutes to bike to the park.
SOLVE FOR BLANKS
Final answer:
The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.
Explanation:
To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.
60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes
Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.
It takes 10 minutes to bike to the park.
What is the slope of this line?
a train traveled 1/5 of the distance between two cities in 3/4 hour. at this rate, how many hours will it take the train to travel the entire distance between these two cities
a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how deep is the small aquarium to the nearest inch?
clothing store buys coats for $50 and then sells them for $80. what is the percent of increase om the price of the coat?
60% is the percent of increase om the price of the coat.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The clothes are brought for $50
The selling price is $80
% Change Formula=(Selling price / cost price ) ÷ cost price# x 100
= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%
The cost of the coat has increased by 60%.
Learn more about percentage, here:
https://brainly.com/question/29306119
#SPJ2
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.
To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.
The perimeter of a rectangle is given by the formula:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:
[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]
[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]
Now, we'll use the perimeter formula to find the width:
[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]
Divide both sides by 2:
[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]
Subtract 19.5 from both sides:
[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]
So, the width of Claire's backyard is 12 feet.
The complete question is:
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
I'll give brainliest if you show your work. Plz answer quickly.
Which two numbers does Square root of 52 lie between on a number line?
7.0 and 7.1
7.1 and 7.2
7.2 and 7.3
7.3 and 7.4
I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3
A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1
Answer:
Step-by-step explanation:
Given are some statements and we have to check which are true
I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]
2) True since [tex]\sqrt{1.8} =1.341>1[/tex]
3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]
4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]
5) False since
[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]
Answer:
1234
Step-by-step explanation:
Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks
B. $10 down with equal payments of $5 for 24 weeks.
incorrect, 4.3.37
In how many ways can a committee of four
men and three
women be formed from a group of ten
men and six
women?