hi
money he has : 155 *8 = 800 + 440 = 1240
SO 1240 / 188 ≈ 6.59
so answer is 6 as you cannot buy half books...
Answer: 6 hard cover books
Step-by-step explanation:
$155 x 8 =1,240
$188 x 6 = 1,128 which is as close as you can get without going over
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
learn more about determinants here :
https://brainly.com/question/4470545
#SPJ2
What is the y-intercept of the function y = 3x + 33 ?
Answer:
33
Step-by-step explanation:
Answer:
it is 33 because you start off at 0 with 33
Step-by-step explanation:
In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.
Answer: 500 chicken feed and 200 careful calculators
Step-by-step explanation:
2x+3y=1,600
40x+50y=30,000
those are your first two equations
your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.
a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000
b) The matrix equations are solved
c) The solution to the system of equations is
The number of chicken feed = 500
The number of careful calculators = 200
What is multiplication of matrices?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the number of chicken feed be represented as x
Let the number of careful calculators be y
Now , the equation will be
Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume
And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume
Substituting the values in the matrices , we get
[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]
On simplifying the matrix equation , we get
2x + 3y = 1600 be equation (1)
40x + 50y = 30000 be equation (2)
Now , multiply equation (1) by 20 , we get
40x + 60y = 32000 be equation (3)
Subtracting equation (2) from equation (3) , we get
10y = 2000
Divide by 10 on both sides of the equation , we get
y = 200 careful calculators
Substituting the value of y in equation (1) , we get
2x + 3 ( 200 ) = 1600
2x + 600 = 1600
Subtracting 600 on both sides of the equation , we get
2x = 1000
Divide by 2 on both sides of the equation , we get
x = 500 chicken feeds
Therefore , the value of x and y are 500 and 200 respectively
Hence , the system of matrix equations are solved
To learn more about matrix multiplication click :
https://brainly.com/question/13198061
#SPJ2
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
What is the opposite of each number?
Drag the answer into the box to match each number.
Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa
Step-by-step explanation:
so 0.005 would be -0.005
Answer:
the opposite of 0.005 is -0.005
the opposite of 1/2 is -1/2
the opposite of 0 is 0
the opposite of -2 is 2
Step-by-step explanation:
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answer:
The answer is D.
Step-by-step explanation:
What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
Calculate the rise and run to find the slope of each line
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere
Answer:cube root 381.7
Then half it too find the radius.
Step-by-step explanation:
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
Learn more about Sequence here:
https://brainly.com/question/21961097
#SPJ2
It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
PLEASEE HELP !
8 months
Step-by-step explanation:
Evaluate 7 – (-1).
Answer:
8
Step-by-step explanation:
7-(-1)
My teacher said if it looks like this: -(- make it a plus!
so basically 7+1=8
Write the equation of the line in slope intercept form given:
m = -6, b = 0
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
Help ASAP if you want brainliest
Answer:
A. 1. mph
C. 3. hpm
Step-by-step explanation:
Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
Does anyone know this. whoever answers first and correct ill give brainliest
Answer:
5.49 x 10^14
Step-by-step explanation:
The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^
Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?
Answer:
Required Answer:-First go to first equation[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]
Take common[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]
can some one help me with this please and show me how to do this?
Answer:
1.8
Step-by-step explanation:
Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them togetherWhich equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2
Answer:
9x=2
Step-by-step explanation:
4 - 6(3 - 2x) = 3(x -4)
4 - 18 + 12x = 3x - 12
12x - 14 = 3x - 12
12x - 3x = 14 - 12
9x = 2
hope you are happy with the answer ;)
The first four terms of a sequence are shown below:
9,5, 1, -3
Which of the following functions best defines this sequence?
Answer:
-4
Step-by-step explanation:
[tex](-4)(-2)-6(2-5)[/tex]
Answer:
26
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define expression
(-4)(-2) - 6(2 - 5)
Step 2: Evaluate
Parenthesis (Subtract): (-4)(-2) - 6(-3)Multiply: 8 + 18Add: 26Factorise fully
x2 - 42^2
Step-by-step explanation:
(x_42)(x+42)...
....
A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?
Answer: 3ft squared
Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.
I will give Brainlyest to the person who is first
After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to
Answer:
37-9=28
Step-by-step explanation:
it was 28 F then rose 9 which is 37 so 37-9 =28
The equation is 37 - 9= x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
After the temperature rose 9°F, the thermometer read 37°F.
let x be the temperature before the 9º increase.
So, 37 - 9= x
x= 28°F.
Hence, the equation is 37 - 9= x.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5