Answer:
5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.
Step-by-step explanation:
We are given the following in the question:
Bobby buys 10 pounds seafood for $30.
Let x pounds of shrimp be purchased and y pounds of crawfish.
Thus, we can write,
[tex]x + y =10[/tex]
Cost of shrimp = $5 per pound
Cost of crawfish = $1 per pound
Total money spent = $30
Thus, we can write the equation,
[tex]5x + y = 30[/tex]
Solving the two equation by elimination method,
[tex]5x + y-(x+y) = 30-10\\4x = 20\\x = 5\\y = 10 - x = 10 - 5 = 5[/tex]
Thus, 5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.
Evaluate 6(x+2)=6x+12
Answer:
12=12 Many Solutions
Step-by-step explanation:
6(x+2)=6x+12
6x+12=6x+12
-6x -6x
12=12
*MANY SOLUTION
*THERE IS A SOLUTION
Look at the figure below.
66) In figure ABCD shown, which of the following statements
are true?
A) AD intersects BC
B) BA is parallel to CD
C) BA is a diagonal of ABCD
D) BA is perpendicular to AD
Help meee I just need two topics done
x > –5
Solution:
Given expression is –5 < 2x + 5.
Step 1: Let us first switch the sides.
⇒ 2x + 5 > –5
Step 2: Subtract 5 from both side of the inequality.
⇒ 2x + 5 –5 > –5 –5
⇒ 2x > –10
Step 3: Divide by 2 on both sides of the inequality.
[tex]$\Rightarrow\frac{2x}{2} >\frac{-10}{2}[/tex]
⇒ x > –5
Step 4: That is the values of x are greater than –5.
Hence x > –5.
Type the correct answer in each box. Use numerals instead of words, if necessary, use / for the fraction bars
Line m has no y intercept, and its x-intercept is (3,0). Line n has no x intercept and its
y -intercepts is (0-4).
The equation of line m is ___
and the equation of line n is ___
Answer:
equation of line m is x=3
equation of line n is y=-4
Step-by-step explanation:
Line m has no y intercept, and its x-intercept is (3,0).
When a line has no y intercept then it is a vertical line
for any vertical line the equation is x= x1
(3,0) is (x1,y1)
so equation of line m is x=3
Line n has no x intercept and its y -intercepts is (0-4).
When a line has no x intercept then it is a horizontal line
for any horizontal line the equation is y= y1
(0,-4) is (x1,y1)
so , the equation of line n is y=-4
A certain math teachers likes to keep a box of prizes to distribute to students. The math teacher likes to keep at least twice as many prizes in the box as she has students. If the math teacher currently has 109 students and the box has 88 prizes in it, Determine hw many prizes she would need to buy.
A. 109
B. 108
C. 130
D. 218
Option C
Math teacher would need to buy 130 prizes
Solution:
Given that,
Math teacher currently has 109 students and the box has 88 prizes in it
The math teacher likes to keep at least twice as many prizes in the box as she has students
So, she wants the number of prizes to be twice the number of students
Therefore,
number of prizes = 2 x 109 students
number of prizes = 2 x 109 = 218 prizes
The box has 88 prizes in it
Therefore, number of prizes she would need to buy is:
⇒ 218 - 88 = 130
Thus she would need to buy 130 prizes
A triangular right prism is cut perpendicular to the base. What is the shape of the cross section?
hexagon
rectangle
trapezoid
triangle
Write each fraction in simplest form
6/24
Answer:
1/4
Step-by-step explanation:
It is 1/4 because you divide the fraction by its highest multiple for 6 and 24 its 6, so you divide the numerator and denominator by 6.
I’m trying to place this into factored form please help and show steps. Thank you! I’m also giving a lot of points so please give a good answer!
5x^2 + 7x -6
Rewrite the middle term whose product equals first term x last term: 5 x -6 = -30 and whose sum equals the middle term.
Rewrite 7 as -3 + 10
5x^2 +(-3+10)x -6
Use distributive property:
5x^2 -3x + 10x -6
Group the first two terms and last two terms:
(5x^2 -3x) (10x -6)
Factor out greatest common factor of each group to get final answer:
(5x-3)(x+2)
Answers to questions
Please help me!!!!! Its exponents!
Answer:
Please check the answer below.
Step-by-step explanation:
Considering the statement
[tex]2^?<3^?[/tex]
If [tex]?[/tex] is an whole number.
Set of whole number = {0, 1, 2, 3, ....}
Example 1:
When statement is always true:
For x > 0, the statement will be always be true.
Lets put x = 1
[tex]2^1<3^1[/tex]
2 < 3
So, the statement is true when x = 1
Example 2:
When statement is always true:
For x > 0, the statement will be always be true.
Lets put x = 2
[tex]2^2<3^2[/tex]
4 < 9
So, the statement is true when x = 2
Example 3:
When statement is Never true:
For x = 0, the statement will never be true.
Lets put x = 0
[tex]2^0<3^0[/tex]
[tex]\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0[/tex]
[tex]2^0=1, 3^0=1[/tex]
So,
[tex]1<1[/tex]
Therefore, the statement is False.
Keywords: exponential number, whole number
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a persona initials are created using first letter of their first name, middle name, and last name. How many initials are possible?
Answer:
17576 Combinations.
Step-by-step explanation:
There are 26 letters in the Current English Lexicon (Alphabet), If there are 3 letters in a person's initials, then our equation would turn out to be "26³ = 17576". So, There are 17576 different possible combinations.
Final answer:
The total number of possible initials a person can have, using the first letters of their first name, middle name, and last name in the English alphabet, is 17,576. This is calculated by multiplying the number of alphabet letters (26) for each initial, resulting in a product of 26 x 26 x 26.
Explanation:
To calculate the number of possible initials a person can have from their first name, middle name, and last name, we must consider that each initial can be any letter from the English alphabet, which has 26 letters. Since each initial is independent of the others, the total number of possible initials is found by multiplying the number of options for each initial together.
The calculation is as follows:
First name initial: 26 possibilities (A-Z)
Middle name initial: 26 possibilities (A-Z)
Last name initial: 26 possibilities (A-Z)
So, the total number of possible initials would be:
26 (for the first name) x 26 (for the middle name) x 26 (for the last name) = 17,576 possible initials.
A Girl gets 2,000 gift toward a college education from her grandparents. How much will the 2,000 be worth in 17 years if it is invested at 7% and compounded quarterly
Answer:
yes
Step-by-step explanation:
How many solutions does this equation have?
9x + 2
3
= 3x + 3
Answer:
Only one solution my boiiii
Answer:
Step-by-step explanation:
9x + 23 = 3x + 3
9x - 3x = 3 - 23
6x = -20
x = -20/6
x = - 10/3
x = -3 1/3
Find the area of the circle. Use 3.14 for pi
Answer:
C
Step-by-step explanation:
if you multiply 2.3 times pi you get the answer
Answer:
3. A
4. D
Step-by-step explanation:
r : radius
area of a circle = 3.14×r²
3,14×11^2 = 379,94
3,14×(2,3÷2)^2 = 4,15265
Carl can type 150 words in 3 minutes. How many words can he type in 1 minutes
Answer: 50 words per minute
Step-by-step explanation: You need to find the unit rate, so you solve 150=3x to get x=50
Alex flies airplanes. His plane ascends 100 feet above the ground level in 20 seconds. What is the rate of the ascension in feet per second?
You divide 20 by 100
Multiply the polynomials: (2x^2 + 6x + 6)(3x -2)?
Answer:
[tex]6x^{3} +14x^{2} +6x-12[/tex]
Step-by-step explanation:
distribute
The functions, f and g, are defined below.
f(x) = 2x² +5
g(x)=x-3
What is f(g( – 5))
Answer:
a
Step-by-step explanation:
Answer:
133
Step-by-step explanation:
Evaluate g(- 5) then substitute the value obtained into f(x)
g(- 5) = - 5 - 3 = - 8, then
f(- 8) = 2(- 8)² + 5 = 2(64) + 5 = 128 + 5 = 133
What is the value of X to the power of 3+4 when X equals six
Answer: x=279,936
Step-by-step explanation:
See attachment
Dory and Nemo go to Taco Bell for lunch. Dory orders 3 soft tacos and 3 double deckers for $11.25. Nemo orders 4 soft tacos and 2 double deckers. Write a system of equations that represent the lunch orders for Dory and Nemo. Use x to represent soft tacos and y to represent double deckers.
Answer:
y = 2.50 , x = 1.25
Step-by-step explanation:
x = soft tacos
y = double deckers
Dory:
3x + 3y = 11.25
Nemo:
4x + 2y = 10.00
---Now to solve for x and y---
---We find LCM of either x or y then make them cancel each other---
Dory multiply by 2:
6x + 6y = 22.50
Nemo multiply by 3:
12x + 6y = 30.00
--eliminate y---
Nemo subtract Dory:
6x = 7.50
Therefore x = 7.50 ÷ 6 = 1.25
---Now substitute x = 1.25 in either equation.---
Dory:
3.75 + 3y = 11.25
Therefore 3y = 11.25 - 3.75
therefore 3y = 7.50
there fore y = 2.50
y = 2.50 , x = 1.25
Answer:
x= $2.50, y= $1.25
Step-by-step explanation:
X= soft taco
Y= double deckers
$11.25= 3x+3y
$10.00= 4x+2y
first eliminate 1 variable, lets say d, to do this we must cancel them out, to do this multiply the top by -2 and the bottom by 3
-2 ($11.25= 3x+3y) -$22.50= -6x-6y
3 ($10.00= 4x+2y) which becomes. $30.00=12x+6y
then the -6y and the positive 6y cancel out and you are left with 1 variable
after this add the remaining parts to get.
$7.50=6x divide by 6, then put x back into one of your original equations and solve for d then you have found how much each item costs and are finished with the system of equations
The shape below is transformed to another shape.
Which shape could be its image?
Answer:
The 4th Image
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale.
Answer: 41
Step-by-step explanation: I just took the test
To determine the value of x, various methods are used depending on the context, including setting up proportions for scale models, applying the quadratic formula, solving linear equations, and establishing ratios.
Explanation:To find the value of x, we have various scenarios illustrating different mathematical concepts, such as proportions, the quadratic formula, and linear equations. Each scenario requires specific steps to solve for x, but they all center on mathematical problem-solving skills.
When dealing with proportions, such as a scale model, you set up a proportion correlating the scale size to the actual size and then cross multiply to solve for x. In the situation where a quadratic equation is involved, you apply the quadratic formula to determine the value of x, taking care to discard any solutions that do not make sense in the physical context of the problem, such as negative distances.
For linear equations, you enter the given data into a calculator or computer and solve for x, while ensuring you round off to the accuracy required, typically four decimal places. Ratios and scale factors also play a role in determining x, where you establish a ratio based on given dimensions and solve for the unknown.
Learn more about Solving for x here:https://brainly.com/question/24225997
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what is 12 divided by 3045 and a mixed number
Answer:
253.75
Step-by-step explanation:
What is the ratio between the pair of sides 50 m and 30 m?
Answer:
It is 5 to 3
Step-by-step explanation:
Use the distributive property to write an expression
that is equivalent to 45 + 30x. Please help!! ;0
Answer:
15(3+2x)
Step-by-step explanation:
15 multiplies to both 3 and 2x amd the result is 45+2x
Final answer:
To write an expression equivalent to 45 + 30x using the distributive property, factor out the common factor of 15 to get 15(3 + 2x).
Explanation:
To write an expression equivalent to 45 + 30x using the **distributive property**, we can factor out the common factor. This can be done as follows:
Factor out 15, so 45 + 30x becomes 15(3 + 2x).
Therefore, an expression equivalent to 45 + 30x using the distributive property is 15(3 + 2x).
in a right angle,the altitude to a 6ft hypotenuse.Find the length of the altitude and each leg.
Answer:a=3.6 and b=4.8
Step-by-step explanation:(a^2)+(b^2)=(c^2)
Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.
To check work simply plug in your legs as a and b
(3.6^2)+(4.8^2)=(6^2)
(12.96)+(23.04)=(36)
could you please name the place value to which each number was rounded
Answer:
QUESTION NOT CLEARLY STATED
Step-by-step explanation:
calculate the number in the middle of 15 and 24
Final answer:
To find the number in the middle of 15 and 24, you calculate the mean, which is (15 + 24)/2, resulting in 19.5.
Explanation:
How to Calculate the Number in the Middle of 15 and 24
To calculate the number in the middle of two values, we are essentially seeking the mean or average of those two numbers. This can be done by adding the two numbers together and then dividing by the number of values, which is 2 in this case. Thus, the calculation would be (15 + 24)/2.
Let's do the math: (15 + 24)/2 = 39/2 = 19.5.
Therefore, the number in the middle of 15 and 24 is 19.5.
What is an equation of the line that passes through the points (4,-6) and has a slope of -3
Answer:
Step-by-step explanation:
point slope form
y + 6 = -3(x - 4)
point slope to y-intercept
y + 6 = -3x + 12
y = -3x + 6
8. How do temperature and
salinity affect seawater density?
Answer:
Step-by-step explanation:
increase density of seawater