The slope would be b.2
-3a-2b for a=-4 and b=-3
-3a-2b
-3 times -4= 12
-2 times -3= 6
12+6=18
hope this helps
also can u give brainy
Plug in a=-4 and b=-3 into -3a-2b
-3(-4) -2(-3)
= 12 + 6
= 18
Answer
18
There are 7 more girls then boys in a club there are 23 members in the club in all how many girls are there in the club? Which expression represents the number of boys
There would be 16 girls in the club. You should use the expression: 23(total people in the club)-7(total boys in the club)=?,so 23-7=16.
Final answer:
To find the number of girls in a club where there are 7 more girls than boys and 23 members in total, we solve the equation 2b + 7 = 23 to determine that there are 8 boys and thus 15 girls.
Explanation:
If there are 7 more girls than boys in a club and there are 23 members in total, let's call the number of boys b. Then the number of girls would be b + 7. Given that the total number of members is 23, we can set up the equation b + (b + 7) = 23 to find the number of boys. Solving the equation:
Combine like terms: 2b + 7 = 23
Subtract 7 from both sides of the equation: 2b = 16
Divide both sides by 2: b = 8
Therefore, there are 8 boys in the club. To find the number of girls, we add 7 to the number of boys which gives us 8 + 7 = 15 girls.
The expression that represents the number of boys is simply b, which we have determined to be 8 in this context.
Write 0.0123 in dcientific notation
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
How does scientific notations work?The number is written in the form a x 10^b.
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as Better readability due to compact representation.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
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The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
The ratio 9:7 gives you following statement:
Carl will win in 9 cases from 9+7=16; Carl will lose in 7 cases from 16.Then the probability that Carl will lose is
[tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
Answer: [tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
Nathan bought a wallet for 5% off its full price. What was the full produce of the wallet if Nathan paid 17.67 before sales tax A.18.60 B.22.67 C. 17.72 D. 19.53
Answer:
Option A is correct.
Step-by-step explanation:
Let the full price of the wallet be represented by = x
Total amount that Nathan paid for the wallet = $17.67
Discount percentage = 5% or 0.05 = 0.05x (5% of full price)
So, equation becomes: full price - discount price = 17.67
[tex]x-0.05x=17.67[/tex]
[tex]0.95x=17.67[/tex]
x = $18.60
Therefore, the full price of the wallet is $18.60.
We can also check this by taking out 5% of 18.60
[tex]0.05\times18.60=0.93[/tex]
And[tex]18.60-0.93=17.67[/tex]
So, option A is correct.
Simplify.
(4^3)^5
A) 4^-2
B) 4^3
C) 4^8
D) 4^15
What is the length of leg s of the triangle below?
Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
The length of leg s in the right angled triangle given is 3.
What is the triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.
Here, we have,
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
The answer is 3, or option D.
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How do you find the domain for 7
h(x) = -5x² + 15x - 3
It's a quadratic function. The domain of quadratic function is the set of all real numbers.
Therefore
[tex]D=\mathbb{R}[/tex]-all real numbers.
Divide 3,479 by 9. What is the remainder?
A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seats 10 people. Find a combination of small and large tables that seats exactly 150 people
We need 10 small sized tables and 9 large sized tables to fit 150 people.
What is Equation?Two or more expressions connected with an equal sign is called as Equation.
We have been given that a catering company is expecting 150 people to attend the wedding.
There are two kinds of tables,
The first kind of tables are small tables in which six people can be fitted.
The second kind of table are big tables in which ten people can be fitted.
Let us form a linear equation by considering x as the tables which can fit 6 people and y as the tables which can fit 10 people,
The total number of people that can fit on all available tables as:
6x+10y
If there are total 150 people expected in the wedding, then equation can be framed as:
6x+10y=150
Now let us take x as 10.
Then
6(10)+10y=150
60+10y=150
10y=150-60
10y=90
y=9
Therefore, you'd need 10 small sized tables and 9 large sized tables to fit 150 people.
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Help and I'll label you the brainest and a thank you
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
The answer would be D: an infinite number, because you can put as far as numbers can go, which is infinite.
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
which describes the behavior of the function f(x)=tan^-1(x)?
ANSWER
The correct answer is option C
EXPLANATION
The graph of [tex]f(x)=tan^{-1}(x)[/tex] is shown in the attachment.
You can see clearly that as
[tex]x\rightarrow \infty, f(x)\rightarrow \frac{\pi}{2}[/tex]
and as
[tex]x\rightarrow -\infty, f(x)\rightarrow -\frac{\pi}{2}[/tex]
These are are actually the two horizontal asymptotes to the given function.
Answer:
The answer is C I just took the test.
how would numbers -20,0 and 30 appear on a number line
Number line showing -20,0, 30 in attachment below.
Which equation correctly applies the associative property of multiplication
The second answer is correct since the associative property has the do with how you use parenthesis.
2/5(15p-20)= -8p-3(p-6)
p = [tex]\frac{26}{17}[/tex]
distribute the parenthesis on both sides of the equation.
6p - 8 = - 8p - 3p + 18
6p - 8 = - 11p + 18 ( add 11p to both sides )
17p - 8 = 18 ( add 8 to both sides )
17p = 26 ( divide both sides by 17 )
p = [tex]\frac{26}{17}[/tex]
I need to write the number that matches the clues
Hundreds tens ones
Question is
My number has 2 hundreds.
The ten digits is 9 more than the ones digit
What’s the number?
The answer to this question is 290
The number has 2 hundreds so 200
The tens place is 9 more than the ones place so its 9
The last number is 0
6 4/11 x2 1/12 Estimate the product
Answer:
The estimated product is 12.
Step-by-step explanation:
When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.
A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pieces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?
Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
[tex](2^{2})(3^{2})=(4)(9)=36[/tex]
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
Sandy has $200 in her bank account if she writes 6 checks for exactly $19.98, what expression describes the change in her bank account ? And also what is her balance after the checks are cashed.
Answer:
200 - (19.98 * 6) = x
Explanation:
200 - (19.98 * 6) = x
Solve Parentheses
200 - 119.88 = x
Subtract
80.12 = x
Switch so x comes first
x = 80.12
If 250 readers responded, how many chose museums as their favorite attraction?
This doesn't give any information
Your question is very vague. More info?
Write an expression that represents the amount of hydrochloric acid in x gallons of a 3% hydrochloric acid solution.
pls help will give brainliest
Answer:
4.)60
5.)about 13
6.)58
Step-by-step explanation:
( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
64
select all possible solutions for 2x+7<=3x-5
Answer:
12, 18, 24, 107
Step-by-step explanation:
Our inequality is
2x+7 ≤ 3x-5
First we will subtract 3x from each side:
2x+7-3x ≤ 3x-5-3x
-1x+7 ≤ -5
Subtract 7 from each side:
-1x+7-7 ≤ -5-7
-1x ≤ -12
Divide both sides by -1:
-1x/-1 ≤ -12/-1
When we multiply or divide an inequality by a negative number, we flip the inequality symbol:
x ≥ 12
We want numbers that are equal to or larger than 12; this leaves us with
12, 18, 24, and 107.
Solve for x: 3x - 24 = 81
A-57/3
B-105/3
C-57
D-105
Helpppp please
[tex]Solution,solve\:for\:x,\:3x-24=81\quad :\quad x=35[/tex]
[tex]Steps: 3x-24=81[/tex]
[tex]\mathrm{Add\:}24\mathrm{\:to\:both\:sides}, 3x-24+24=81+24[/tex]
[tex]\mathrm{Simplify}, 3x=105[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3x}{3}=\frac{105}{3}[/tex]
[tex]Simplify, x=35[/tex]
The correct answer is B. 105/3
Hope this helps!!!
<3 - austint1414
Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn.at this rate how many acres will he mow in a hour
Walter can mow 4/7 acres in an hour.
Steps:
Multiply. (7/10 * x = 10/7)
Multiply. (2/5 * 10/7 = 4/7)
Done!
-
Hope this helped! :)
Answer:
u
Step-by-step explanation:
8(x-1) - 3x(4-x) + 6 (x+2) - 3. How can I simplify this?
Use the distributive property. For the first set of parenthesis, multiply everything inside by 8. This gets you to 8x-8.
Next set: Everything inside by 3x: 12x+3x^2.
Next set: Everything inside by 6: 6x+12.
Put it all together: 8x-8-12x+3x^2+6x+12-3.
Combine like terms: 2x+1+3x^2
What is 119.63 rounded to the nearest whole number ?
120 is the answer, I may be wrong.
Jill can answer 50 math questions every 20 minutes. How many questions can she answer in 12 minutes? How many math questions can she answer in 36 minutes?
Answer:
1: 30
2: 90
Step-by-step explanation:
Answer:
In 12 minutes, She can answer 30 math questions.
In 36 minutes, She can answer 90 math questions.
Step-by-step explanation:
Jill can answer 50 math questions every 20 minutes.
1)
How many questions can she answer in 12 minutes
Let (x) represent the number of questions she can answer in 12 minutes:
So, if 50 math question = 20 minutes
and (x) math question = 12 minutes
To solve for (x); we have:
(x) × 20 minutes = 50 math question × 12 minutes
(x) = [tex]\frac{50*12}{20}[/tex]
(x) = [tex]\frac{600}{20}[/tex]
(x) = 30 math questions
∴ In 12 minutes, She can answer 30 math questions.
2)
How many math questions can she answer in 36 minutes?
Let (y) represent the number of questions she can answer in 36 minutes:
So, if 50 math question = 20 minutes
and (y) math question = 36 minutes
To solve for (y); we have:
(y) × 20 minutes = 50 math question × 36 minutes
(y) = [tex]\frac{50*36}{20}[/tex]
(y) = [tex]\frac{1800}{20}[/tex]
(y) = 90 math questions.
∴ In 36 minutes, She can answer 90 math questions.
The length of a side of a square is represented by 4x-1 . Express the perimeter of the square in terms of x.
The perimeter of a shape is the sum of all it sides.
The perimeter of the square is [tex]16x - 4[/tex]
Given that:
[tex]Length = 4x - 1[/tex]
The perimeter (P) of the square is:
[tex]P = 4 \times Length[/tex]
So, we have:
[tex]P = 4 \times (4x -1)[/tex]
Open brackets
[tex]P = 16x - 4[/tex]
Hence, the perimeter of the square is 16x - 4
See attachment for the image of the square
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