Answer:
2 students.
Step-by-step explanation:
add together all of the students and then subtract that from 40.
20+15+3 = 38
40-38 = 2
Answer:
3 athdwnts it says
Step-by-step explanation:
A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
Mark this and return
Answer:
2. The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
Step-by-step explanation:
The total lunch budget of the company = $150
Total number of employees = 20
The cost of 1 roast beef sandwich = $5
The cost of 1 tuna sandwich = $5
r represents the number of roast beef sandwiches provided.
t represents the number of tuna sandwiches provided.
Now, consider the given statements:
Here, total number of sandwiches purchased = Total number of employees
⇒ r + t = 20 .... (1)
Also, as each type of sandwich costs $5.
So, the cost of r roast beef sandwiches = r x ( Cost of 1 beef sandwich)
= r x ( $5) = 5 r
And, the cost of t tuna sandwiches = t x ( Cost of 1 tuna sandwich)
= t x ( $5) = 5 t
Total cost of (r +t) sandwiches = Total Lunch Budget
⇒ 5 r + 5 t = 150 .... (2)
Hence, from (1) and (2) the above situation can be represented as:
r + t = 20
5 r + 5 t = 150
Hence, the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
Write the polynomial function, in standard form, that has zeros -1, -2, and 3.
Answer:
The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:
Answer:
f(x) = x³ - 7x - 6
Step-by-step explanation:
Given that the zeros are x = - 1, x = - 2 and x = 3 then the corresponding factors are
(x + 1), (x +2) and (x - 3)
The polynomial is then the product of the factors, that is
f(x) = (x + 1)(x + 2)(x - 3) ← expand the first pair using FOIL
= (x² + 3x + 2)(x - 3) ← distribute
= x³ - 3x² + 3x² - 9x + 2x - 6 ← collect like terms
= x³ - 7x - 6
The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the width, w?
Answer:
w = I /2 - 4
Step-by-step explanation:
half the length : I /2
4 less than half the length : I /2 - 4
To match the requirements : w= I /2 - 4
The ____ of Powers property allows you to rewrite xa· xb as xa + b.
Answer:
product
Step-by-step explanation:
Answer:
The Correct Answer is product of powers
Step-by-step explanation:
Suppose that circles R and S have a central angle measuring 125°. Additionally, circle R has a radius of
2
3
feet and the radius of circle S is
3
4
feet.
If the length of the intercepted arc for circle R is
4
9
π feet, what is the length of the intercepted arc for circle S?
Answer:
The length of the intercepted arc for circle S is (1/2)π ft
What is 34/8-16/3-14/9=
Answer:
-95/36
Step-by-step explanation: I think that's right.
Mark as BRAINLIEST if you are right
Answer:
E
Step-by-step explanation:
7+8+4=19
4/6 + 3/6 + 1/6 = 1 2/6
19 + 1 1/3
20 1/3
Solve for x in the equation x squared + 2 x + 1 = 17.
Answer:
Step-by-step explanation:
x^2 + 2x + 1 = 17
x^2 + 2x = 17 - 1
x^2 + 2x = 16
x^2 + 2x + 1 = 16 + 1
(x + 1)(x + 1) = 17
(x + 1)^2 = 17
x + 1 = sqrt 17
x = -1 (+ - ) sqrt 17
x = -1 + sqrt 17 or x = -1 - sqrt 17 <===
Answer:
x = -1 + square root 17
Step-by-step explanation:
I took the test
Graph the inequality. x + 2y > 4
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+2y > 4[/tex]
Isolate the variable y
subtract x both sides
[tex]2y > -x+4[/tex]
Divide by 2 both sides
[tex]y > -\frac{1}{2}x+2[/tex]
The solution of the inequality is the shaded area above the dashed line
[tex]y=-\frac{1}{2}x+2[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is (0,2)
The x-intercept of the dashed line is (4,0)
therefore
The graph in the attached figure
Tell which quadrant the point (x, y) will be in.
cis negative, yis negative.
Quadrant I
Quadrant IT
Quadrant IV
Quadrant II
Answer:
Look at the picture.
x < 0 and y < 0
Quadrant IIIDarcy harvests 8\dfrac348
4
3
8, start fraction, 3, divided by, 4, end fraction acres of corn every \dfrac56
6
5
start fraction, 5, divided by, 6, end fraction of an hour. Darcy harvests corn at a constant rate
How many acres does she harvest per hour?
Answer:
[tex]10\frac{1}{2}\ \frac{acres}{hour}[/tex]
Step-by-step explanation:
The correct question is:
Darcy harvests 8 3/4 acres of corn every 5/6 of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?
we know that
To find out the corn rate harvested per hour or the unit rate, divide the number of acres of corn harvested by the total time it takes
so
[tex]8\frac{3}{4} :\frac{5}{6}[/tex]
Convert mixed number to an improper fraction
[tex]8\frac{3}{4}=8+\frac{3}{4}=\frac{8*4+3}{4}=\frac{35}{4}[/tex]
substitute
[tex]\frac{35}{4} :\frac{5}{6}=\frac{210}{20}=\frac{21}{2}\ \frac{acres}{hour}[/tex]
Convert to mixed number
[tex]\frac{21}{2}\ \frac{acres}{hour}=\frac{20}{2}+\frac{1}{2}=10\frac{1}{2}\ \frac{acres}{hour}[/tex]
Answer:
[tex]10\frac{1}{2}[/tex] or [tex]\frac{21}{2}[/tex]
goes through (0,0) and is parallel to the y=-5
Answer:
y=0
Step-by-step explanation:
Parallel lines never intersect therefore you need to find what y=-5 would look like on a graph (look at the image for reference, it is the blue line). Because it is a straight line then you just need to find what would make a straight line across the origin, therefore you would have to do y=0 (the red line on the image.)
The reason for putting y=0 or y=-5 is because the y value will ALWAYS stay the same and the x value will continue going on and on, without intersecting.
Which function has the greater rate of change?
Function 1
Function 2
Answer:
Function 1.
Step-by-step explanation:
The rate of change of Function 2 = (18.75 - 14.25)/ (5 - (-1))
= 4.5 / 6
= 3/4 or 0.75.
For Function 1 it is 5/6 or 0.83
So Function 1 has greatest rate of change.
PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL
Translate the sentence into an equation.
Five more than the product of a number and 4 is 7.
Use the variable w for the unknown number.
Answer:
5+4w=7
Step-by-step explanation:
Is 6(6+x) equivalent to 6x+36
[tex]\text{Hey there!}[/tex]
[tex]\text{Is 6(6 + x) equivalent to 6x + 3?}[/tex]
[tex]\text{Kind of yes, and kind of no}[/tex]
[tex]\text{But in order for you to solve for this equation you have to use the distribute}\\\text{ property}[/tex]
[tex]\text{The distributive property formula is}\rightarrow\text{a(b + c) = a(b) + a(c) = ab + ac}[/tex]
[tex]\text{Let's solve for the equation, shall we?}[/tex]
[tex]\text{6(6 + x)}\\\text{6(6) + 6(x)}\\\text{6(6) = 36}\\\text{36 + 6(x)}\\\text{6(x) = 6x}\\\boxed{\text{\underline{36+6x}}}[/tex]
[tex]\text{36 + 6x}\neq \text{6x+ 36}[/tex]
[tex]\text{So, thus your answer has to be NO}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
3.844E5 kilometers
3.844 × 105 kilometers
3.844E-5 kilometers
3.844E-6 kilometers
3.844 × 106 kilometers
3.844E6 kilometers
3.844 × 10-6 kilometers
3.844 × 10-5 kilometers
Answer:
B: 3.844x10^5
E: 3.844x10^6
Step-by-step explanation:
Simplify square root of negative 49.
The value of the square root of negative 49 will be ± 7i.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ √(-49)
We know that √-1 = i, then we have
⇒ √(-1 x 49)
⇒ ± 7i
The value of the expression √(-49) will be ± 7i.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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Final answer:
The square root of negative 49 simplifies to 7i, where i is the imaginary unit.
Explanation:
The simplify question involves finding the square root of negative 49, which is a mathematical operation dealing with complex numbers. To simplify the square root of a negative number, we use the imaginary unit i, where i is defined as the square root of negative one. Therefore, to simplify √-49, we break it down into the product of √-1 and √49. Since √-1 equals i, and √49 equals 7, the simplification results in 7i.
Factor y2 + 5y + 6.
(y + 6)(y + 1)
(y + 2)(y + 3)
(y + 4)(y + 2)
Answer:
(y + 2)(y + 3)
Step-by-step explanation:
Multiply. 35⋅34
A. 9/20
B. 4/10
C. 4/5
D. 5/4
Answer:
a
Step-by-step explanation:
One leg of a right triangle is 12, and the hypotenuse is 20.
The length of the other leg is ___
We can ise Pythagorean triplet which is ( 12 , 16 , 20 )
Therefore the answer is 16.
Step-by-step explanation:
Or we can use Pythagoras theorem , stated as ;
( hyp )^2 = ( adj )^2 + ( opp )^2
hyp ( hypotenuse ) = 20
We can assume the adj ( adjacent ) = 12
By substituting the values ,
20^2 = 12^2 + ( adj )^2
400 = 144 + ( adj )^2
400 - 144 = ( adj )^2
256 = ( adj )^2
Take the square root of both sides
✓256 = adj
16 = adj
Therefore the length of the other leg which is the adjacent( adj ) side is 16.
The length of the other leg is 16
To find the length of the other leg of a right triangle, given one leg is 12 and the hypotenuse is 20, we use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the legs (a and b) is equal to the square of the length of the hypotenuse (c).
This relationship is given by:
a² + b² = c²
1. Here, one leg (a) is 12 and the hypotenuse (c) is 20. So we can write:
12² + b² = 20²
2. Calculating the squares gives:
144 + b² = 400
3. Subtract 144 from both sides to find b²:
b² = 256
4. Finally, take the square root of both sides to find b:
b = √256 = 16
Thus, the length of the other leg is 16.
Find the volume of a cube with the given side: 2cm
Volume is length x width x height.
A cube has the same length, width and height.
The volume of the cube is 2 x 2 x 2 = 8cm
Answer: 8 cm
Happy to help!
Answer: the answer is 8
Step-by-step explanation: The answer is 8 because the equation LxHxW and since It is a cube it is 2x2x2
Y is 4 more than the product of 7 and x
Answer:
Let's write this out in an equation.
y = 4 + 7x
The mathematical equation 'Y is 4 more than the product of 7 and x' can be written as 'Y = 7x + 4' where Y is the dependent variable and x is the independent variable. This is a standard form linear equation.
Explanation:The subject of this question is Mathematics, and it appears to be targeted at a Middle School level. The statement 'Y is 4 more than the product of 7 and x' is a mathematical equation that can be written as Y = 7x + 4. Here, '7x' refers to the product of 7 and x, and the '+ 4' indicates that Y is 4 more than this product. It is a linear equation in variable x.
Learn more about Mathematical Equation here:https://brainly.com/question/13026573
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Type A is 8 feet tall and grows at a rate of 6 inches per year.
Type B is 2 feet tall and grows at a rate of 15 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height.
Answer:
The required time is 8 years.Step-by-step explanation:
Let, it will take x years to be of same height for these trees.
We know that 1 ft = 12 inches.
8 ft = [tex]12\times8 = 96 inch[/tex]. 2 ft = 24 inch.
After x years, the height of type A will be (96 + 6x) inch and the height of type B will be (24 + 15x) inch.
We need find the value of x, for which 96 + 6x = 24 + 15x or, 9x = 72 or, x = 8.
If each side of the square is 7 units long, how long is the diagonal to the nearest tenth?
I NEED AN ANSWER ASAP
The diagonal of square is 9.90 units long.
Step-by-step explanation:
Given,
Length of each side of square= s = 7 units
Diagonal of square = s√2
Putting s = 7
Diagonal of square = [tex]7*\sqrt{2}[/tex]
Diagonal of square = 7 * 1.414
Diagonal of square = 9.898
Rounding off to nearest hundredth
Diagonal of square = 9.90 units
The diagonal of square is 9.90 units long.
Keywords: square, diagonal
Learn more about diagonals at:
brainly.com/question/2367554brainly.com/question/2670657#LearnwithBrainly
Answer:
d = 9.9 units
Step-by-step explanation:
The step by step explanation is in the picture below
How many squares can you make from a square?
Answer:
more than 16 squares
FIND THE SLOPE
please explain me how to do it
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table
m = [tex]\frac{3-7}{0+4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
A 30-60-90 triangle has shortest leg 10. The hypotenuse is
Answer:
Hypotenuse = 20
Step-by-step explanation:
As we know that in 30 60 90 triangle
Short leg = X
Hypotenuse = 2X
Perpendicular = X[tex]\sqrt{3}[/tex]
Short leg = X = 10
Hypotenuse = 2X = 10*2 = 20
Final answer:
In a 30-60-90 triangle, the hypotenuse is twice the length of the shortest leg. Therefore, with a shortest leg of 10, the hypotenuse is 20.
Explanation:
The student has asked about the length of the hypotenuse in a 30-60-90 triangle where the shortest leg is given as 10. In a 30-60-90 triangle, the ratios of the sides are 1:√3:2. Since the shortest leg (the one opposite the 30° angle) is known to be 10, we can find the hypotenuse by multiplying the length of the shortest leg by 2.
Thus, the hypotenuse is 20.
To summarize the process, if the shortest leg a is known, then the hypotenuse c is calculated using the formula: c = 2a. Given that a = 10, the calculation would be c = 2 × 10 = 20.
It is known that x1 and x2 are roots of the equation [tex]6x^{2} +7x+k=0[/tex]
, where [tex]2x_{1} +3x_{2} =-4[/tex]. Find k.
Answer:
[tex]k=-5[/tex]
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]6x^{2} +7x+k=0[/tex]
so
[tex]a=6\\b=7\\c=k[/tex]
substitute in the formula
[tex]x=\frac{-7\pm\sqrt{7^{2}-4(6)(k)}} {2(6)}\\\\x=\frac{-7\pm\sqrt{49-24k}} {12}[/tex]
so
[tex]x_1=\frac{-7+\sqrt{49-24k}} {12}\\\\x_2=\frac{-7-\sqrt{49-24k}} {12}[/tex]
Remember that
[tex]2x_1+3x_2=-4[/tex]
substitute
[tex]2(\frac{-7+\sqrt{49-24k}} {12})+3(\frac{-7-\sqrt{49-24k}} {12})=-4\\\\(\frac{-14+2\sqrt{49-24k}} {12})+(\frac{-21-3\sqrt{49-24k}} {12})=-4[/tex]
Multiply by 12 both sides
[tex](-14+2\sqrt{49-24k})+(-21-3\sqrt{49-24k})=-48\\\\-35-\sqrt{49-24k}=-48\\\\\sqrt{49-24k}=48-35\\\\\sqrt{49-24k}=13[/tex]
squared both sides
[tex]49-24k=169\\24k=49-169\\24k=-120\\k=-5[/tex]
therefore
The equation is
[tex]6x^{2} +7x-5=0[/tex]
The roots are
[tex]x=\frac{-7\pm\sqrt{49-24(-5)}} {12}\\\\x=\frac{-7\pm\sqrt{169}} {12}\\\\x=\frac{-7\pm13} {12}\\\\x_1=\frac{-7+13} {12}=\frac{1} {2}\\\\x_2=\frac{-7-13} {12}=-\frac{5} {3}[/tex]
What does x equal? -5(x-1)=40
Hey!
~Set up the equation: -5(x-1)=40
~ Divide 5 on both sides: 40/-5
~ Simplify: x-1=-8
~ We want to get x by itself, so subtract +1 to both sides.
~ Simplify: x = -7
~ Therefore, x = -7.
Answer:
x = - 7
Step-by-step explanation:
-5(x - 1) = 40
-5x + 5 = 40
- 5x = 40 - 5
- 5x = 35 | x(-)
5x = - 35
x = - 35 : 5
x = - 7
Solution please!!!!!
Answer:
All that you would have to do is add 10 more blocks to show that its 10 more than 43