how many solutions does
25-x=15-(3x+10)
The sum of two numbers is 39 . the larger number is 17 more than the smaller number. what are the numbers?
The smaller number is 11 and the larger number is 28.
Explanation:Let's assume the smaller number is 'x'.
The larger number is 17 more than the smaller number, so the larger number can be represented as 'x + 17'.
The sum of the two numbers is 39, so we can set up the equation: x + (x + 17) = 39.
By simplifying the equation, we get 2x + 17 = 39.
Subtracting 17 from both sides gives us 2x = 22.
Dividing both sides by 2 gives us x = 11.
So, the smaller number is 11 and the larger number is 11 + 17 = 28.
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Divide.
(5 1/4)÷(−2 1/2)
Enter your answer as a mixed number, in simplified form, in the box. Please Explain your answer.
To divide (5 1/4)÷(−2 1/2), convert the mixed numbers into improper fractions and then multiply by the reciprocal of the divisor. Simplify the result to get the quotient as -2 1/10.
Explanation:To divide the given mixed numbers, (5 1/4)÷(−2 1/2), we first convert them into improper fractions.
5 1/4 can be written as (4*5 + 1)/4 = 21/4.
(−2 1/2) can be written as (-2*2 + 1)/2 = -5/2.
Now, we can divide the fractions by multiplying the reciprocal of the divisor: (21/4) * (-2/5) = (-21/4) * (2/5) = -21/10.
Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common factor, which is 1. The simplified result is -21/10, which can be written as -2 1/10 as a mixed number.
What is the answer?
At the market 8 batteries cost $10. How much will 6 batteries cost.
ASAP PLEASE!!! Start with the following conditional statement: If it is October 31, then it is Halloween.
a. State the converse of the statement.
b. State the inverse of the statement.
c. State the contrapositive of the statement.
The reference angle for an angle whose measure is 260° is
Answer:
80 degrees
Step-by-step explanation:
What's green and fluffy and comes from outer space?
On the first day of summer a rainstorm brought 2.29 inches of rain to the area. During the rest of the summer there was 3 times as much rain as on the first day. What was the total number of inches of rainfall for the summer?
To solve this problem, we simply have to multiply the original inches of rain to that of how many times it was for the rest of summer. So in this case, simply multiply 2.29 by 3, that is:
2.29 inches * 3 = 6.87 inches
Answer:
6.87 inches
Which expression is equivalent to 5(8 + 9)?
Select a counter-example that makes the conclusion false.
7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1
Conclusion: the difference of two positive numbers is always positive.
Counterexample:
Answer:
2 - 7 = -5Step-by-step explanation:
This means that two positive numbers have given a difference of -5, so the conclusion above can not be true. In fact, subtracting a larger number from a smaller number will always give a negative result, so this conclusion isn't even true in most cases.
I'm always happy to help :)In the figure, line m || line n. Find the measure of <7
The tooth fairy brings jack $5 plus $1 for each tooth that he loses. After jack loses a few teeth, the tooth fairy decides that he is paying too much money for teeth. He is gives jack $5 plus $0.50 for each tooth lost. Which graph shows the new function?
Answer:
The new function is [tex]y=0.5x+5[/tex] and its graph is shown below.
Step-by-step explanation:
Let the number of tooth = x and the cost of teeth = y (in dollars).
Tooth fairy charges $1 for each tooth with extra charge of $5.
So, the cost of the teeth is [tex]y=x+5[/tex].
Now, the tooth fairy charges $0.5 for each tooth with extra charge of $5.
Thus, the new cost of the teeth is given by.
[tex]y=0.5x+5[/tex]
So, the new function is [tex]y=0.5x+5[/tex] and its graph is shown below.
5.50
i think thats the anserw
Use geometry to evaluate (see attached) (calculus) the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 and equals the quantity 6 minus x for x greater than 3.
27
13.5
12
10.5
Answer:
13.5
Step-by-step explanation:
The geometric representation of an integral is the area below the curve. So, let's graphic the function.
[tex]f(x) = 3[/tex] is an horizontal line, (y = 3)
and [tex]f(x) = 6-x[/tex] is also a line, but it is decreasing.
We can see in the image that the area below the curve happens to be a polygon. In order to calculate the area we are going to separate it into simpler polygons: a square and a triangle.
The area of the square is [tex]3*3 = 9[/tex].
The area of the triangle is [tex]\frac{3*3}{2} = \frac{9}{2} = 4.5[/tex]
If we add them, we get
[tex]\int_0^6 f(x) dx =9 + 4.5 = 13.5[/tex]
Claire has received scores of 85,82, and 75 on her algebra tests. what score must she receive on the fourth test to have an overall test score average of at least 82
Which unit fraction should be used to convert 15 inches to centimeters?
To convert from inches to centimeters, the unit fraction used is 2.54 cm/1 in. Therefore, 15 inches is equal to 38.1 centimeters.
Explanation:To convert a measurement from inches to centimeters, we utilize a unit conversion factor. In this instance, the unit conversion factor we're interested in relates inches to centimeters. One inch is equivalent to 2.54 centimeters. Hence, the unit fraction used for such conversion is 2.54 cm/1 in.
To determine the equivalent value in centimeters for 15 inches, we multiply the number of inches (15) by our unit conversion factor (2.54 cm/1 in). This gives us the following
15 inches * 2.54 cm/1 in = 38.1 cm.
So, 15 inches is equivalent to 38.1 centimeters when converted.
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The volume of a cube with sides of length s is given by v = s3. find the rate of change of the volume with respect to s when s = 3 centimeters.
Final answer:
The rate of change of the volume of a cube with respect to its side length s, when s = 3 cm, is 27 cubic centimeters per centimeter.
Explanation:
The volume V of a cube with sides of length s is given by V = s³. To find the rate of change of the volume with respect to s when s = 3 cm, we need to differentiate the volume function V(s) with respect to s. The derivative of V with respect to s is [tex]\frac{dV}{ds}[/tex] = 3s². When s = 3 cm, [tex]\frac{dV}{ds}[/tex] = 3(3)² = 3(9) = 27. The rate of change of the volume when s = 3 cm is 27 cubic centimeters per centimeter.
4.25 × 0.6 = 2.04 × 1.25
True
False
Answer:
false
Step-by-step explanation:
its not
Answer:
false
Step-by-step explanation:
4.25 x 0.6 doesn't equal 2.04 it equals 2.55
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1. Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1. Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6. Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b. Which student’s first step was incorrect, and why? Amelia’s, because the variable term must be isolated on the left side Luis’s, because he flipped the inequality sign when he subtracted Shauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms
Answer: Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Given a right cone with base area b and height h, what is the formula for the volume?
Linear Programming HELP!! must answer both questions for brainliest and explain your answer.
Nick can throw a baseball three more than 4 times the number of feet, f, that Jeff can throw the baseball. Which numbered expression can be used to find the number of feet that Nick can throw the ball?
Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days? Multiples of 2: 2, 4, 6, 8, 10, 12, . . . Multiples of 3: 3, 6, 9, 12, 15, 18, . . .
Answers:
1. 2 days
2. 3 days
3. 6 days
4. 12 days
Which operation flips the graph of a function over the x-axis?
A. Multiplying the function by –1
B. Multiplying the function by 1
C. Subtracting 1 from the function
A. multiplying the function by -1
Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The operation that flips the graph of a function over the x-axis is multiplying the function by -1.
When a function is multiplied by -1, the y-values are negated, which causes the graph to reflect over the x-axis.
if we have a function f(x) = x², the graph will be a parabola that opens upwards.
However, if we multiply this function by -1 to get -f(x) = -x², the graph will be the same parabola reflected over the x-axis and opening downwards.
Hence, Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
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If AB = 18 and AC = 3x +6 then x=
A bag contains purple and orange marbles. Sam randomly takes out one marble and then returns it to the bag. He does this 18 times, and 12 of those times an orange marble is pulled out. What is P(green)?
a jewelry store is having a 10% off regular price sale. find the discount and the sale price of a ring normally priced at $1170
the discount is $[]
the sale price is $[]
What’s the rule for the translation (x,y) (x+3,y+7)
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
The area of a rectangle is 45 square inches. The rectangle is 9 inches long. How wide is the rectangle?
A. 5 inches
B. 36 inches
C. 27 inches
D. 3 inches