Answer: 20
Step-by-step explanation:
Given: Total students at the dinner = 100
Number of fish entrees = 40
Number of pasta entrees = 60
Number of students chose neither entree = 20
Now , Number of students chose either fish or pasta = (Total students) - (Number of students chose neither entree)
= 100-20
= 80
Now , Number of students chose either fish or pasta = (Number of fish entrees) + (Number of pasta entrees)- (Number of students chose both)
⇒ Number of students chose both = (Number of fish entrees) +(Number of pasta entrees)-(Number of students chose either fish or pasta)
= 40+60-80
= 20
Hence, the number of students were served two entrees = 20
20 students were served two entrees.
Given,
total student pass through cafeteria line and were served meal is 100.
No. of students choose fish entries is 40.
No. of students choose pasta entrees is 60.
No. of student choose neither entree is 20.
We have to calculate the no. of students served two entrees.
Now Number of students chose either fish or pasta will be,
[tex]N=100-20[/tex]
[tex]N=80[/tex]
Now no. of students choose both will be,
[tex]N=(fish\ entree+\ pasta \ entree )-Entree\ either \ pasta \ or \ fish[/tex]
[tex]N=60+40-80[/tex]
[tex]N=20[/tex]
Hence 20 students were served two entrees.
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the quotient of a number and -9 is increased by 10 the result is 11 what is the number?
Answer:
so the division of a number and -9 or
x/-9+10=11 or
(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.
how to simplify: y=3x +38 -4x +19
Answer:
y = -x +57
Step-by-step explanation:
y=3x +38 -4x +19
Combine like terms
y = 3x-4x + 38 +19
y = -x +57
Answer:
y= -x+57
Step-by-step explanation:
[tex]\sf{}[/tex]
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The Side-Side-Side Similarity Postulate states that if the sides of one triangle are congruent to the sides of another triangle, then the triangles are similar. True or False?
Answer:
Hey there!
This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.
Hope this helps :)
If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please
If [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex] then, [tex]a[/tex] is its root.
So [tex]-2[/tex] is a root of [tex]x^3-19x-p[/tex]
[tex](-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30[/tex]
Rewrite 4/6 : 1/3 as a unit rate.
A. 12:6
B. 12:1
C. 2:1
D. 2/9
Answer:
C
Step-by-step explanation:
(4/6) : (1/3), multiply by 3 both sides
(4/2) : 1 = 2:1
Answer:
A. 12:6
Step-by-step explA. 2
SE MULTIPLICA 4X3 Y 6X1
your outlook on the increasing spread of epidmics
Answer:
increasing spread epidemics your outlook
Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D
write a trinomial that has a factor of X +3 and a GCF of -5x
Answer:
it is - 15 please mark me brainliest
What does not represent an integer
Answer:
An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.
Step-by-step explanation:
Brainliest, please!
Which of the following systems of linear equations has a solution of (-4,3)? 1. −4x+2y=22 −y=−3x−9 2. −4x+2y=22 y=−3x−9 3. −4x−2y=22 y=−3x−9 4. −4x−2y=22 −y=−3x−9
Hey there! I'm happy to help!
SYSTEM #1
-4x+2y=22
-y=-3x-9
We can multiply both sides of the second equation by -1 to see what y equals.
y=3x+9
We can substitute this value for y into the first equation and solve for x.
-4x+2(3x+9)=22
We use distributive property to undo the parentheses.
-4x+6x+18=22
We combine like terms.
2x+18=22
Subtract 18 from both sides.
2x=4
Divide both sides by 2.
x=2
Our x has to be -4 to be the correct answer, so this option is incorrect.
SYSTEM #2
-4x+2y=22
y=-3x-9
We plug this y value into the first equation to solve for x.
-4x+2(-3x-9)=22
We use distributive property to undo the parentheses.
-4x-6x-18=22
We combine like terms.
-10x-18=22
Add 18 to both sides.
-10x=40
x=-4
We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.
y=-3(-4)-9
y=12-9
y=3
So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9
Have a wonderful day! :D
A circle has a circumference of C inches and an area of A square inches. inches. fC = 2/5 * A what is the diameter of the circle?
0.4 in.
0.8 in
2.5 in
10in
[tex]\it R=circle's \ radius;\ \ D=diameter;\ \ D=2R\\ \\ \mathcal{C}=2\pi R\\ \\ \mathcal{A}=\pi R^2\\ \\ \mathcal{C}=\dfrac{2}{5}\cdot\mathcal{A} \Rightarrow 2\pi R=\dfrac{2}{5}\pi R^2|_{\cdot\frac{5}{2}} \Rightarrow 5\pi R=\pi R^2|_{:(\pi R)} \Rightarrow 5=R|_{\cdot2} \Rightarrow 10=2R\\ \\ But,\ 2R=D,\ so\ \ D=10\ in[/tex]
plz helppppp it's a constructed response!!!? :(
Step-by-step explanation:
the measure of the segment YZ
[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]
YZ= 25 m
Tell whether each order pair is a solution of the equation.
1. 2x+y=5 (2,1)
2. 4x-3y=10 (4,3)
helppp pls i don’t understand thisssss
Answer:
1.) (2,1) is a solution
2.) (4,3) is NOT a solution
Step-by-step explanation:
1.) (2,1)
These are these mean (x,y)
2=x and 1=y
You want to substitute the numbers for the letters in the equation.
so.
2(2)+1=5
4+1=5
5=5, This statement is true so (2,1) is a solution.
2.) Same as above. 4=x and 3=y
4(4)-3(3)=10
16-9=10
7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
C) C < 4
Step-bay-step explanation:
> means "greather than"
< means "less than"
The only statement that is true:
C) C< 4
Type the correct answer in the box. Simplify this expression: 4(1 – 3x) + 7x – 8.
Answer:
-4 -5x
Step-by-step explanation:
4(1 – 3x) + 7x – 8.
Distribute
4 -12x +7x -8
Combine like terms
-4 -5x
Answer:
The simplified answer of this expression is -5x - 4
Step-by-step explanation:
4(1 - 3x) + 7x - 8
Distribute 4 to (1 - 3x)
4 - 12x + 7x - 8
Rearrange the terms so it'll be easier to combine them.
4 - 8 - 12x + 7x
Combine like terms.
-4 - 5x
Put the equation in standard form.
-5x - 4
4) 101
Is it rational or irrational
Answer:
rational
Step-by-step explanation:
according to google the definition of RATIONAL is
(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion. Examples of rational numbers are 4 3 and 9
AND THE DEFINITION OF IRRATIONAL IS
(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.
so 101 is a whole number and whole numbers are always rational
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PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
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JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
A blueprint for a house has a scale factor n = 35. A wall in the blueprint is 10 in. What is the length of the actual wall?
29.17 in.
29.17 feet
350 feet
4,200 feet
Answer:
29.17 feet
Step-by-step explanation:
10 x 35 = 350 in. / 12 in/ft = 29.17 feet
The length of the actual wall is 29.17 feet. The correct answer is option B.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
It is given that the blueprint for a house has a scale factor of n = 35. A wall in the blueprint is 10 in.
The length of the actual wall is calculated as:-
L = 10 x 35
L = 350 in. / 12 in/ft
L= 29.17 feet
Therefore, the length of the actual wall is 29.17 feet. The correct answer is option B.
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please help me solve this exercise.!!
find the value of tanx if sinx+cosx=1/5 and 0<x<π.
=============================================================
Explanation:
Let's square both sides and do a bit of algebra to get the following.
[tex]\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\[/tex]
Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25
This then means tan(2x) = sin(2x)/cos(2x) = 24/7.
From here, you'll use this trig identity
[tex]\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\[/tex]
which is the same as solving
[tex]\tan(2x) = \frac{2w}{1-w^2}\\\\[/tex]
where w = tan(x)
Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4
So either tan(x) = -4/3 or tan(x) = 3/4.
If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.
Since tan(x) < 0 in this case, we go for tan(x) = -4/3
Complete the square to solve 4x2 + 24x = 4.
Answer:
x = - 3 ± [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{10}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{10}[/tex]
Answer:
X=1/8
Step-by-step explanation:
Calculate the product 4x×2 + 24x = 4
Collect like terms 8x + 24x = 4
Divide both sides of the equation by "32" 32x = 4
Solution x = 1/8
a line segment lies on the line xy it has endpoints z and v and passes through the point W. which of the following is the correct name for this line segment?
A) VZ
B) VW
C) XY
D) ZW
2( -4n+ 2)
6n = 4(-2 - 2n)
Answer:
(n^(2)+6n-4)(2n-4)
for 0°<θ<-180° which of the primary trigonometric functions may have positive values?
sine and cosecant.
you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate
HELP ILL GIVE BRAINLIEST
Answer:
C. 4
Step-by-step explanation:
The graph seems to start at y=4, and decreases.
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889
Answer:
x = s/2
Step-by-step explanation:
● s states have joined the union in 1788
● half of s have joined in 1889
Let x be the number of states that have joined in 1889
● x = (1/2)× s
● x = s/2
Please help i'm really struggling with this unit
A primary trigonometric ratio of an angle is given : tan = 2√5 / 5 . The terminal arm falls in quadrant 3. Find the other 2 primary trigonometric ratios in exact form (no decimals). Rationalize if necessary.
I WILL GIVE BRAINLIEST
Answer:
sin(theta)=-2/3 and cos(theta)=-sqrt(5)/3
Step-by-step explanation:
First of all, as the theta is in 3rd quadrant, all the other ratios will be negative. Second tan(theta)=P/B. So, 2=P and B=sqrt(5), H=sqrt(P^2+H^2)=sqrt(4+5)=3. sin(theta) will be P/H=-2/3 and cos(theta) will be B/H=-sqrt(5)/3
Instructions: Determine whether the
following polygons are similar. If yes, type
in the similarity statement and scale
factor. Pano, type 'None' in the blanks.
35
M
х
w -18
50°
63
63
10
10
50°
35 N
z
18
Similar: Yes
Similarity Statement:
Scale Factor:
Answer:
No, the above polynomials aren't similar as they don't have a constant scale factor
The following polygons given in the question are not similar .
What are similar polygons ?Similar polygons are those polygon which have the similar shapes but with different size and dimensions. Similar polygons have also the scaling factor ration equal.
How to identify whether the given polynomials are similar?There are two polygons given in the question LMNO and WXYZ .
For both of the polygons, we are checking the adjacent sides of the polygons.
The value of LM = 35 but for the other polygon , its adjacent side WX = 18.
Similar LO = 63 and WZ = 10 .
Also the adjacent angles are not equal as ∠MNO = 50° and ∠ZWX = 50° .
Therefore, the polygons given have different scaling factor.
Thus, the following polygons given in the question are not similar .
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Hmm What's 2⁄3 of 90cm?
Answer:
Hey there!
2/3 of 90 cm would be 60 cm.
Hope this helps :)
Answer
[tex] \boxed{60}[/tex]
Step by step explanation
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term :
[tex] \mathsf{ \frac{2}{3} \times 90}[/tex]
⇒[tex] \mathsf{ \frac{2 \times 90}{3 \times 1} }[/tex]
⇒[tex] \mathsf{ \frac{180}{3} }[/tex]
⇒[tex]60[/tex]
Hope I helped!
Best regards!!
A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.
Answer:
[tex]W= 4700+0.02S[/tex]
Step-by-step explanation:
Given that
W is the monthly wage
S is the monthly sales
According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)
Also plus 2% commission of sales made for the month added to the wage
we can model his/her wage as follows
[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]
Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.