Final answer:
The total mass of Sandra's 5 toy cars is calculated by multiplying the mass of one toy car (8 grams) by the total number of cars, resulting in a total mass of 40 grams.
Explanation:
The question requires us to calculate the total mass of Sandra's toy cars. Since each toy car has a mass of 8 grams, we can find the total mass by multiplying the mass of one car by the number of cars, which is 5 in this case. Therefore, the calculation we need to perform is 8 grams times 5, which will give us the total mass of all the toy cars combined.
To solve: 8 grams/car × 5 cars = 40 grams.
Thus, the total mass of all 5 toy cars that Sandra has would be 40 grams.
Solve 5x 2 - 7x + 2 = 0 by completing the square. What is the constant added on to form the perfect square trinomial?
Answer: 49/100 is correct
( that other answer was bothering me )
In a class, 12 out of 25 students are female. what percent of students are female?
a golf course charges $10 to golf or $150 for a summer pass. Write an inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal
Answer:I
Step-by-step explanation:
Tree a lived for 6 decades and 5 years. Tree b lived for 58 years. Which tree lived longer
Final answer:
Tree A, which lived for 65 years (6 decades and 5 years), lived longer than Tree B, which lived for 58 years.
Explanation:
To answer which tree lived longer, we can calculate the age of both trees. Tree A lived for 6 decades and 5 years. Since one decade is equal to 10 years, 6 decades would be 6 x 10 years, which is 60 years. Adding the additional 5 years, Tree A lived for a total of 60 + 5 = 65 years.
Tree B lived for 58 years. Comparing both ages, Tree A lived for 65 years while Tree B lived for 58 years. Therefore, Tree A lived longer than Tree B.
How does tan 135 degrees compare to tan -135 degrees
Tan(135°) is -1 because it lies in the second quadrant with sine positive and cosine negative, whereas tan(-135°) is 1 as it falls in the third quadrant with both sine and cosine negative. Thus, tan(135°) = -1 and tan(-135°) = 1.
1. The tangent of an angle is defined as the ratio of the sine to the cosine of that angle: tan(θ) = sin(θ) / cos(θ). The tangent function is also periodic with a period of 180 degrees, meaning tan(θ) = tan(θ + 180°).
2. First, let’s find the value of tan(135°). Since 135° is in the second quadrant where sine is positive and cosine is negative:
sin(135°) = sin(180° - 45°) = sin(45°) = √2/2cos(135°) = cos(180° - 45°) = -cos(45°) = -√2/23. Therefore, tan(135°) = (√2/2) / (-√2/2) = -1.
4. Next, we consider tan(-135°). Since -135° is in the third quadrant where both sine and cosine are negative:
sin(-135°) = -sin(135°) = -√2/2cos(-135°) = cos(225°) = -√2/25. So, tan(-135°) = (-√2/2) / (-√2/2) = 1.
In summary, tan(135°) = -1 and tan(-135°) = 1.
A suit regularly costs $389.90., Bob buys it on sale for $ 265.00 . How much does he save?
Solve the given differential equation. y' = 5x^2 − 1/ 5 + 4y
What is the GCF
135, 189 , 297
The rate of the number of bags mishandled by the airlines fell to 4.77 bags per 1000 passengers in 2011. At this rate,
estimate how many bags would be mishandled for 1650 passengers.
Eric leans a ladder against the roof of his house so that the ladder forms a 2004-04-02-01-00_files/i0260000.jpg angle with the ground. The roof of the house is 13 feet above the ground. How far is the bottom of the ladder from the base of the house? Round the answer to the nearest tenth.
Answer:
4.7 ft.
Step-by-step explanation:
Let x represent the distance of the bottom of the ladder from the base of the house.
We have been given that Eric leans a ladder against the roof of his house so that the ladder forms a 70 angle with the ground. The roof of the house is 13 feet above the ground.
Upon looking at our attached graph we can see that ladder and wall of house forms a right triangle with respect to ground, where x is adjacent and side with 13 ft length is opposite side to the angle of 70 degrees.
We know that tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(70^{\circ})=\frac{13}{x}[/tex]
[tex]x=\frac{13}{\text{tan}(70^{\circ})}[/tex]
[tex]x=\frac{13}{2.747477419455}[/tex]
[tex]x=4.7316\approx 4.7[/tex]
Therefore, the bottom of ladder is 4.7 feet away from the base of the house.
Alexander is riding his bicycle to school. After one mile he is a third of the way there. How much more does he have to ride
A jar contains two red marbles, three green marbles, ten white marbles and no other marbles. two marbles are randomly drawn from the jar without replacement. what is the probability that these two marbles drawn will both be red? express your answer as a common fraction.
the denominator HAS to be 15C2
but what's the numerator?
A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?
the answer would be 90% because when you multiply 30% x 30% =90% its the same as 3 x 3 = 9
plz help me
it sounds confusing
hey can you please help me posted picture of question
There are 50 total patrons. 16 like lattes, 12 like espressos, and 8 like both drinks.
Add the two totals for patrons that like either lattes or espressos:
[tex] 16 + 12 = 28 [/tex]
8 patrons like both drinks, so subtract this from the amount of patrons that like either drink:
[tex] 28 - 8 = 20 [/tex]
20 patrons like at least one drink.
Subtract the amount of patrons that like a drink from the total amount of patrons:
[tex] 50 - 20 = \boxed{30} [/tex]
30 patrons like neither drink.
Now evaluate f(x) = 2x4 - 4x3-11x2+3x-6 for x=-2 f (-2) =
The answer to the given solution is 8.
Given that,
The equation is [tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6[/tex].The x = -2.Based on the above information, the calculation is as follows:
[tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6\\\\= 2(-2)^4 - 4(-2)^3-11(-2)^2+3(-2)-6\\\\= 2\times 16 - 4\times -8 - 11\times 4+ 3 \times -2 - 6\\\\[/tex]
= 32 + 32 - 44 - 6 - 6
= 8
Therefore we can conclude that the answer is 8
Learn more: brainly.com/question/17429689
Which pair of expressions is equivalent?
Please please help!!
describe a situation where it is easier to use decimals than fractions and explain why
When you must multiply non whole numbers, decimals are easier to manipulate in the sense that setting up a multiplication problem with decimals rather than fractions is much simpler and easier to calculate.
Hey can you please help me posted picture of question
Lila draws a 145 degree angle. then she divides it into three smaller angles. One of the smaller angles measures 65 degrees, then the other two are equal in measure. What is the measure of the other two.
Let each of the equal small angles be x.
The sum of three small angles is 145 degrees. One of these small angles is 65 degrees.
Now let us substitute the given information in an equation.
[tex]2x+65=145[/tex]
After subtracting 65 from both sides of equation we get
[tex]2x=80[/tex]
Dividing both sides of equation with 2 we get
[tex]x=\frac{80}{2}=40[/tex]
Therefore measure of each of the remaining angles is 40 degrees.
The measure of the other two smaller angles, given that they are equal would be 40 degrees.
How to find the measure of angles ?Let's denote the measure of the other two smaller angles as "x."
We know that the sum of the three angles should be equal to the original 145-degree angle. Therefore, we can set up the equation:
65 + x + x = 145
Simplifying the equation:
65 + 2x = 145
Next, we can isolate "x" by subtracting 65 from both sides of the equation:
2x = 145 - 65
2x = 80
Finally, we divide both sides of the equation by 2 to solve for "x":
x = 80 / 2
x = 40
So, the measure of the other two smaller angles is 40 degrees each.
Find out more on angle measure at
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What is the midpoint between the points (1, 3) and (5, 7)?
A. (4, 4)
B. (7, 9)
C. (3, 5)
D. (2, 2)
What is the gcf of 108 and 132
Answer:
12
Explanation:
The greatest common factor (GCF) is the largest factor two numbers share within their respective factor trees. In order to find the GCF, list factors of each number and then select the biggest one they have in common.
Factors of 108 are:
1, 108; 2, 54; 4, 27; 6, 18; 9, 12
Factors of 132 are:
1, 132; 2, 66; 3, 44; 4, 33; 6, 22; 11, 12
As can be observed, the largest number they have in common is 12. Therefore the GCF of 108 and 132 is 12.
A car tire has a radius of 15 inches. Suppose the car is traveling at 60 miles per hour (1 mile = 5,280 feet). What is the approximate rate of spin, in revolutions per minute, of the tire? Round the answer to the nearest whole number.
-5n+22>=-73
[tex] - 5n + 22 \geqslant - 73 = [/tex]
Daisies cost $0.99 each and tulips cost $1.15 each. Maria bought a boquet of daisies and tulips. It contained 12 flowers and cost $12.52. Find the number of daisies and the number tulips in the bouquet
Maria bought 8 daisies and 4 tulips in the bouquet.
Explanation:Let's assume that Maria bought x daisies and y tulips. Since the total number of flowers in the bouquet is 12, we can write the equation: x + y = 12.
Also, the total cost of the bouquet is $12.52. Using the cost per flower, we can write another equation: 0.99x + 1.15y = 12.52.
Now we have a system of equations that we can solve. Multiplying the first equation by 0.99, we get 0.99x + 0.99y = 11.88. Subtracting this equation from the second equation eliminates the x term, giving us 0.16y = 0.64. Dividing both sides by 0.16, we find that y = 4.
Substituting this value back into the first equation, we can solve for x: x + 4 = 12, x = 8.
Therefore, Maria bought 8 daisies and 4 tulips in the bouquet.
hey can you please help me posted picture of question
What is the equation of the line written in general form? -x+y-2=0
Josh is hiking Glacier National Park. He has now hiked a total of 1 7 km 17 km17, space, k, m and is 2 km 2 km2, space, k, m short of being 1 2 2 1 start fraction, 1, divided by, 2, end fraction of the way done with his hike. Write an equation to determine the total length in kilometers ( h ) (h)left parenthesis, h, right parenthesis of Josh's hike.
17 + 2 = 19 km is 1/2 of the total length, that is,
19 = (1/2)h
(1/2)h = 19 multiply both sides by 2
h = 2*19
h = 38 km
The total length in kilometers is 38 km.
Centennial park is evaluating the capacity of the park and have determined that 15 people can comfortably stand in a section that is 5ft by 8ft , the park has dimensions that are 400yds by 200 yds estimate the number of people who can fit in the park
We have been given that 15 people can comfortably stand in a section that is 5ft by 8ft .
Hence, the area of this section is given by
[tex]A=5\times 8\\ A=40 ft^2[/tex]
Hence, we can say that 15 people can comfortably stand in an area 40 square feet.
Now, we know that 1 yard is equal to 3 feet.
Hence, the area of the section 400yds by 200 yds is equal to
[tex]400\times 3 \times 200 \times 3\\ =720000 ft^2[/tex]
Now, in 40ft^2, 15 people can stand comfortably.
Hence, in 720000 ft^2, number of people can stand comfortably is
[tex]\frac{15}{40} \times 720000\\ \\ =270000[/tex]
Therefore, 270000 people can stand in the park of dimension 400 yds by 200 yds