7 × 30 = 7 × 3 tens.
To solve 7 × 30 in terms of tens, we first observe that 30 can be written as 3 tens since 30 equals 3 × 10.
Therefore:
7 × 30 can be rewritten as 7 × (3 × 10), which simplifies to 7 × 3 tens.
So, 7 × 30 = 7 × 3 tens.
3x + 2y = 2
-2x + y = 8
Solve the system of equations.
Answer:
A: (-2,4)
Step-by-step explanation:
i did it on usatestprep
What is 125 in exponential form?
Simplify: 4xy + 3x2y - 5xy - 8xy
16 more than eight of a certain number is twenty four more than 6 times of thatnumber.
Name an angle complementary to A B C D
How do I write an equation for: 7, 7.5, 7.75, 7.875, ...? Do I use the geometric sequence formula or recursion formula? Please help! ...?
If carmen ran 2 miles and melanie ran 4 miles, who ran farther?
Which expression is a factor of 2xy + 6x – 3y – 9?
2x – 3
2y + 3
x – 2
y – 3
...?
Answer:
(2x-3) is the answer.
Step-by-step explanation:
The given expression is :
[tex]2xy+6x-3y-9[/tex]
Grouping these terms we get-
[tex]2x(y+3)-3(y+3)[/tex]
So, the factors are :
[tex](2x-3)(y+3)[/tex]
Hence, out of the given options (2x-3) is the answer.
And he other factor is (y+3) that is not mentioned in the options.
Final answer:
The factor of the expression 2xy + 6x - 3y - 9 is 2x - 3, which is found by factoring the expression by grouping.
Explanation:
The expression given is 2xy + 6x − 3y − 9. To determine which expression is a factor of it, we can attempt factoring by grouping. Grouping the terms as (2xy + 6x) and (− 3y − 9) and factoring out the common factors from each group gives us:
2x(y + 3)−3(y + 3)We can see that (y + 3) is a common factor between the two groups. Factoring this out, we get:
(2x − 3)(y + 3)
This shows that 2x − 3 is a factor of the given expression.
What is the 12th term in the sequence?
Note: Use the explicit rule.
an=−16+2n
Enter your answer in the box.
What is the 12th term in the sequence?
an=−16+2n
n =term
n=12
Sub n=12
a(12)=-16+2(12)
a(12)=-16+24
a(12)=8
how was percent used to solve real-world problems
The domain of the following relation: R: {(−4, 3), (3, 6), (−2, 1), (3, 6)} is
1, 3, 6}.
{–4, 3, −2, 3}.
{–4, −2, 3}.
No domain exists.
...?
The domain of the given relation includes the set of all x-values in the relation, which is: {–4, −2, 3}.
What is the Domain of a Relation?The domain of a relation is the set of all possible x-values (input), while the y-values are the range.
Given the relation, {(−4, 3), (3, 6), (−2, 1), (3, 6)}:
Domain of the relation is: {–4, −2, 3}.
Learn more about the domain of a relation on:
https://brainly.com/question/2272412
#SPJ2
x ^{sqrt{logx}}=10^{8} ...?
24 students will be divided into 4 equal-sized teams. Each student will count off, beginning with the number 1 as the first team. If Nate is the 11th student to count off, to which team number will he be assigned?
What is the value of x in the equation 2(6x+4)-6+2x+3(4x+3)+1
Answer: the answer you will get is 4
Step-by-step explanation:
Decrease £248 by 30 percent
find the width, ans height and area of 26'' TV screen that has an aspect ratio of 4:3. round to the nearest whole number.
erform a simple calculation to match the screen size of a standard TV to that of a widescreen TV. If you currently have a 4:3 TV and you want to continue watching 4:3 on a widescreen TV, multiply the diagonal length of the older TV model by 1.22. The result would be the diagonal screen size that the widescreen TV would have to be to match the old model.
Say you have a 40 inch (102 cm) TV with a 4:3 aspect ratio, but you're thinking about upgrading and you don't want your screen size to get smaller. You'd need to get at least a 50 inch (127 cm) screen to view in 4:3 without your picture getting smaller. That's because 1.22 x 40 = 49. Since 49 inch TVs are generally not made, you'd need to go up to 50 inches (127 cm).Whats the value of 6 5 x 22 - 9 ÷ 3?
Convert 1.835 × 10−4 to standard notation.
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?
A. a + b ≥ 30 b ≥ a + 10
B.a + b ≥ 30 b ≤ a – 10
c. a + b ≤ 30 b ≥ a + 10
D. a + b ≤ 30 b ≤ a – 10
Option A, with inequalities a + b ≥ 30 and b ≥ a + 10, correctly describes these conditions.
We are given that the sum of two positive integers, a and b, where b is greater, is at least 30, which can be represented as a + b ≥ 30.
The difference between the two integers is also at least 10, and since b is the greater integer, this relationship is given by b - a ≥ 10.
The correct system of inequalities that represents these conditions is Option A:
a + b ≥ 30
b ≥ a + 10
Option B is incorrect because it suggests b is less than or equal to a - 10, which doesn't make sense in this context since b is the greater integer.
Options C and D are incorrect because they suggest that the sum of a and b is less than or equal to 30, which contradicts the given that the sum is at least 30.
A movie ticket costs $9.75. two years ago, a movie ticket cost $7.50. by how many dollars has the price of a movie ticket increased?
a. $17.25
b. $16.75
c. $2.75
d. $2.25
I'm studying for a test, and I can't seem to remember how to find missing coordinates. Here's one example of the question,
Fill in the other coordinate for the line 3x-5y=2 (2,) I need to find Y. I thought that my answer was 4/5 (4over5) I did, 3 times 2, (6) -6 on both sides, so then I had -5y = -4. So I divided both by 5. . . But that doesn't sound right to me! Anyone know what I'm doing wrong? Or right? Thanks!
Here's another one by the way . . Y = 3x + 2 (1,)
show that the following set of functions are subspaces of F(-infinity,infinity)
a) all everywhere differentiable function that satisfy f'+2f=0 ...?
To show that the set of functions satisfying f' + 2f = 0 is a subspace of F(-∞,∞), we prove closure under addition and scalar multiplication.
Differentiable functions: To prove that the set of functions satisfying f' + 2f = 0 is a subspace of F(-∞,∞), we need to show that the set is closed under addition and scalar multiplication. This involves demonstrating that if two functions f1 and f2 satisfy the given differential equation, then any linear combination c1f1 + c2f2 also satisfies it.
Proof:
Let f1, f2 be solutions of f' + 2f = 0, then (c1f1 + c2f2)' + 2(c1f1 + c2f2) = c1(f1' + 2f1) + c2(f2' + 2f2) = c1(0) + c2(0) = 0. Therefore, any linear combination of solutions is also a solution.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
[tex]13/28[/tex]
Step-by-step explanation:
Let
x-----> the shaded area
we know that
[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]
Because the complete circle represent the [tex]100\%[/tex]
and
[tex]100\%=100/100=1[/tex]
solve for x
Multiply by [tex]28[/tex] both sides
[tex]28x+7+8=28[/tex]
[tex]28x=28-15[/tex]
[tex]28x=13[/tex]
Divide by [tex]28[/tex] both sides
[tex]x=13/28[/tex] ----> fraction irreducible
Translate the phrase into a math expression.twenty divided by the sum of 4 and 1.
The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats. A. 6 b. 8 c. 10 d. 12
The selling price for 10 hats, calculated by applying the cost function f(x) to find the cost and then the selling price function g(x), is $8.
Explanation:The selling price of 10 hats can be found by first calculating the cost of materials to make those hats using the function f(x) = 0.5x + 1, and then applying the g(f(x)) function to find the selling price, where g(x) = x + 2.
First, we calculate the cost for making 10 hats:
f(10) = 0.5 imes 10 + 1 = 5 + 1 = 6.
Now, we use the selling price function g to calculate the selling price for 10 hats:
g(f(10)) = g(6) = 6 + 2 = 8.
Therefore, the selling price for 10 hats is $8.
Name the ordered pair that point b represents in the graph
Bonds issued by Raxin Accounting have a total yield of 11.4% annually, while Raxin Accounting stocks have a total yield of 14.4% annually. If you invest $2,600 in Raxin Accounting bonds and $2,000 in Raxin Accounting stocks, which investment will have a greater return after nine years, and how much greater will it be
Answer:
A. in edge
Step-by-step explanation:
$75.69
Final answer:
After nine years, investing $2,600 in Raxin Accounting bonds will yield a greater return than investing $2,000 in their stocks, specifically $579.30 more due to the effect of compound interest.
Explanation:
If you invest $2,600 in Raxin Accounting bonds with a total yield of 11.4% annually and $2,000 in Raxin Accounting stocks with a total yield of 14.4% annually, we can calculate the future value of both investments after nine years using the formula for compound interest: Future Value = Principal × (1 + rate)^time.
For bonds: Future Value = $2,600 × (1 + 0.114)^9 = $2,600 × 2.7845 = $7,239.70
For stocks: Future Value = $2,000 × (1 + 0.144)^9 = $2,000 × 3.3302 = $6,660.40
Comparing the future values, the investment in Raxin Accounting bonds will yield a greater return after nine years, specifically $579.30 more than the investment in stocks.
The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10% less than the original selling price. In store B the original selling price of the tool was 10% less than the list price, and the current selling price is $50 less than the original selling price.
A) Quality A is greater
B) Quality B is greater
C) The two quantities are equal
To compare the selling prices in store A and store B for the tool described:
Let's denote the list price of the tool as x dollars.
In Store A:
- Original selling price = List price - $50
- Current selling price = 90% of the original selling price
In Store B:
- Original selling price = 90% of the list price
- Current selling price = Original selling price - $50
Now, we can calculate the selling prices for both stores and compare:
For Store A:
Original selling price in Store A = x - 50
Current selling price in Store A = 0.9(x - 50)
For Store B:
Original selling price in Store B = 0.9x
Current selling price in Store B = 0.9x - 50
To determine which quantity is greater, we need to compare the expressions for the current selling prices in both stores. We will simplify the expressions to make the comparison easier.
Store A:
0.9(x - 50) = 0.9x - 45
Store B:
0.9x - 50
Comparing the simplified expressions, we see that:
0.9x - 45 is greater than 0.9x - 50
Therefore, Store A has a greater current selling price for the tool compared to Store B.
So, the correct answer is:
A) Quality A is greater.
Find the equation of tangent and normal line to the given curves...
1.) y = x^3 - 7x + 6 at its points of intersection with the x-axis.
...?
At 6:00 a.m., the outside temperature was –14.4⁰. By noon, the outside temperature had dropped 8.1⁰. What was the outside temperature at noon? 6.3⁰ –6.3⁰ 22.5⁰ –22.5⁰