42/60 = 0.7 countries per day
0.7 * 40 = 28
she will travel to 28 countries in 40 days
The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m. The problem: (2,1), m=2
solve the system by graphing y=2x^2+3x+1. Y=2x+1
the solution to the system of equations by graphing is [tex]\( (0,1), (-5/2,6) \)[/tex]
The correct option is (C).
The generated image above represents a graphical solution to the system of equations given:
[tex]\[ y = 2x^2 + 3x + 1 \][/tex]
[tex]\[ y = -2x + 1 \][/tex]
However, the graph does not clearly show the exact points of intersection between the parabola and the line. To find the solutions accurately, we would typically set the two equations equal to each other and solve for [tex]\( x \)[/tex]:
[tex]\[ 2x^2 + 3x + 1 = -2x + 1 \][/tex]
Solving this equation algebraically will give us the [tex]\( x \)[/tex]-coordinates of the points of intersection. The corresponding [tex]\( y \)[/tex]-values can then be found by substituting these [tex]\( x \)[/tex]-values back into either of the original equations.
Since I cannot perform this algebraic computation at the moment, you can solve the equation using the following steps:
1. Move all terms to one side of the equation to set it to zero.
2. Solve the resulting quadratic equation, either by factoring, completing the square, or using the quadratic formula.
3. Substitute the [tex]\( x \)[/tex]-values back into one of the original equations to find the [tex]\( y \)[/tex]-values.
Therefore, the correct option that represents the solution to the system of equations by graphing is:
C. [tex]\( (0,1), (-5/2,6) \)[/tex]
complete question given below:
Solve the system by graphing. y=2x^2+3x+1 y=-2x+1
A. (1,3), (4,7)
B. (1,3), (1/2,3)
C. (0,1), (-5/2,6)
D. (-5,5), (4,-2)
how do you write S is the set of natural numbers that are less than 8 in roster form
In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:
{1, 2, 3, 4, 5, 6, 7}
500 - 137 = to what
0.199
to the nearest hundredth.
how can you evaluate |-5|
PLEASE HELP I WILL GIVE 50 POINTS
Using the distributive property, an expression equivalent to 48 + 30 is
5(6 + 8).
(6)(8) + (3)(10).
(3)(16) + (6)(5).
6(8 + 5).
Answer:
Step-by-step explanation:
78
Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
the three sides of the triangle are 42 feet, 21 feet, and 43 feet,
Let's denote the second side of the triangle as ( x ). According to the problem, the first side is twice the length of the second side, which makes it ( 2x). The third side is 20 feet less than three times the second side, so it is ( 3x - 20 ).
Now, we can write the equation for the perimeter of the triangle:
[tex]\[ \text{Perimeter} = \text{First side} + \text{Second side} + \text{Third side} \][/tex]
[ 106 = 2x + x + (3x - 20) ]
Now, combine like terms and solve for \( x \):
[ 106 = 6x - 20 ]
Add 20 to both sides:
[ 6x = 126 ]
Divide both sides by 6:
[ x = 21 ]
So, the second side is 21 feet. Using this, we can find the other two sides:
First side = [tex]\( 2x = 2 \times 21 = 42 \) feet[/tex]
Third side = [tex]\( 3x - 20 = 3 \times 21 - 20 = 63 - 20 = 43 \) feet[/tex]
Therefore, the three sides of the triangle are 42 feet, 21 feet, and 43 feet, respectively.
To recap the process:
1. Let ( x ) represent the second side of the triangle.
2. Write the equation for the perimeter using the given information.
3. Simplify the equation and solve for ( x ).
4. Substitute the value of ( x ) back into the expressions for the first and third sides to find their lengths.
5. Confirm the final answer by checking that the sum of the three sides equals the given perimeter.
complete question
Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
Which state ment is not true of athe function?
A. The independent variable is x.
B. the dependent variable is y
C. Whent he input is 1 the output is -2
D. When the input is 8 the output is 32
Goldbach''s Conjecture is a famous conjecture that has never been proven true or false. The conjecture states that every even number. except 2, can be written as the sum of two prime numbers. For example, 16 can be written as 5 + 11.
Suppose the Willard gold nugget was turned into 4 equal sized gold bricks. If one of the bricks was sold how many ounces of the Willard nugget would be left?
The number of ounces left after one brick is sold is 591.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Willard gold nuggets = 788 ounces
The number of equal-sized bricks = 4
Now,
The number of ounces in each of the 4 bricks.
= 788/4
= 197 ounces
Number of bricks sold = 1
The remaining ounces.
= 788 - 197
= 591 ounces
Thus,
The number of ounces left is 591.
Learn more about expressions here:
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what is the area of the figure?
Anna saves 5/8 of her money. What percent of her money does Anna save?
Identify the like terms.
2a, –2b, 2ab, –13ab
A.
2a, –2b, 2ab
B.
2ab, –13ab
C.
2a, 2ab
D.
2a, –2b
Need help with Solving for X
Two more than four times the sum of yesterday's high temperatures in degrees Fahrenheit and 7 is equal to the current temperature in degrees Fahrenheit.
a. Write an expression for the current temperature using t as yesterday's high temperature in your expression.
b. simplify the expression
c. if yesterday's high temperature was 3 degrees Fahrenheit, what is the current temperature?
math question down below
is 660 ten times as many as 600?
If s is true and j is false, is the following true or false (~s v j) ^ (s v~ j)
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive ?
Carrie and Krystal are taking a road trip from Greenville to North Valley. Each person has her own map, and the scales on the maps are different.
a) On Carrie's map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. How far is Greenville from North Valley?
b) The scale on Krystal’s map is 1 inch = 18 miles. How far apart are Greenville and North Valley on Krystal’s map?
a)Carrie's map indicates Greenville and North Valley are 90 miles apart. b) On Krystal's map, using a scale of 1 inch = 18 miles, the distance is 5 inches.
Part a:
On Carrie's map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. To determine the distance between the two locations:
Measure the distance on the map: 4.5 inches.
Multiply by the scale: 4.5 inches * 20 miles/inch.
Result: The actual distance is 4.5 * 20 = 90 miles.
Part b:
The scale on Krystal’s map is 1 inch = 18 miles. To find how far apart Greenville and North Valley are on Krystal's map, we use the actual distance calculated from part a (90 miles) and apply Krystal’s map scale:
Divide the actual distance by the scale: 90 miles / 18 miles/inch.
Result: The distance between Greenville and North Valley on Krystal's map is 90 / 18 = 5 inches.
Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to collect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Rachel collects 3/4 or 75% of Bryce's goal if they both meet their goals in the canned goods drive
The question involves determining what fraction of Bryce's goal Rachel collects if they both meet their personal goals for a canned goods drive. Bryce's goal is to collect 32 items, and Rachel's goal is to collect 24 items. To find the fraction of Bryce's goal that Rachel collects, you divide Rachel's goal by Bryce's goal.
Here's the calculation:
Rachel's collection / Bryce's collection = 24 / 32 = 3/4
This means that Rachel collects 3/4 or 75% of the number of items that Bryce collects
A scooter travels 30 feee in 2 seconds.
What is the speed of the scooter in feet per second?
(If you get the question right you will be marked as brainliest.)
We have that for the Question "A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
" it can be said that the speed of the scooter in feet per second is mathematically given as
V=15ft/s
From the question we are told
A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
Generally the equation for the speed of the scooter in feet per second is mathematically given as
[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]
V=15ft/s
Therefore
the speed of the scooter in feet per second is mathematically given as
V=15ft/s
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Jeremy is practicing some tricks on his skateboard. One trick takes him forward 5 feet, then he flips around and moves backwards 7.2 feet, then he moves forward again for 2.2 feet. A: What expression could be used to find how far Jeremy is from his starting position when he finishes the trick? B: How far from his starting point is he when he finishes the trick?
Answer: 5ft - 7.2ft +2.2 ft = 0
When he finishes the trick he will be in the starting point.
Step-by-step explanation:
Hi, to write the expression we have to analyze the information given:
Forward: 5 feet Backwards: 7.2 feet Forward: 2.2 feetSo, we simply have to sum the tricks that takes him forward and subtract the tricks that take him backwards.
Mathematically speaking:
5ft - 7.2ft +2.2 ft = 0When he finishes the trick he will be in the starting point, because the expression equals 0.
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Evaluate 11p – 2 for p = 5.
Name all segments skew to GF.
D is the wrong answer.
Can someone help me turn these two word problems into algebraic expressions?
1.Nicole ate 3 more brownies than Haley.Sam ate twice as many brownies as Nicole.If x represents the number of brownies that Haley ate, what is the expression that represents the number of brownies that Sam ate?
2.How many bananas each person gets if starting with 11 bananas,1 is eaten and the rest are divided equally among five friends
3.Samantha earned $13 an hour waiting tables plus $250 in tips
A recipe for a smoothie calls for 0.75 pounds of strawberries if Kerry has 3.15 pounds of strawberries how many batches of the recipe can she make
how do you write the number 7.04 in expanded form?
How do you convert 10/6 into a mixed number