Step-by-step explanation:
x is the number of students than can still join.
x <= 27 - 18
so,
x <= 9
max. 9 more students can join.
-4 -3 -2 -1
3+
2+
-2
Y
-3
-4
What is the slope of the line?
2 3
4
Answer:
-1/2
Step-by-step explanation:
1. The area in square feet of a rectangular field is 2x2+x-15. If the length of
the field, in feet, is x + 3 what is the width in terms of x?
A. 2x+3
B. 2x-5
C. 2r-3
D. 2x+5
Answer: B. 2x-5
Step-by-step explanation:
Decompose the polynomial into factors:
[tex]2x^2+x-15=\\\\2x^2+6x-5x-15=\\\\2x(x+3)-5(x+3)=\\\\(x+3)(2x-5)[/tex]
[tex]S=length*width\\\\The \ lenght=x+3\\\\Hence,\ \\\\The \ width=2x-5[/tex]
two is subtracted from a number, and then the diffrence is divided by 3. the result is 30
Answer:
Two is subtracted by a number:
n - 2
And then the difference is divided by 3:
(n - 2) / 3
The result is 30:
(n - 2) / 3 = 30
(n - 2 ) / 3 = 30
(n - 2) = 30 • 3
n - 2 = 90
n = 90 + 2
n = 92
The number is 92
Two consecutive integers have a sum of 77. What are the two integers?
Answer: 38 and 39
if you add them together you get 77
Answer:
38 & 39
Step-by-step explanation:
Forming the equation,
→ x + (x + 1) = 77
→ 2x + 1 = 77
Now the value of x will be,
→ 2x + 1 = 77
→ 2x = 77 - 1
→ x = 76/2
→ [ x = 38 ]
Then the required integers are,
→ x = 38
→ x + 1 = 38 + 1 = 39
Hence, the integers are 38, 39.
Solve please brainliest
just find it from the graph its not that hard
goodluck :)
I need help with this please thank you
∠UXS = 135° is the value on transversal line.
What is a transversal angle?
When a transversal splits two parallel lines, the two intersections create a number of angles. Transversal angles are what those are.A transversal is a line that crosses a network of lines, according to the definition. Transversals include, for instance, a line that crosses a set of two parallel lines.A transversal line is one that crosses two other lines at two different locations.Line l meets a and b in the picture below at two different locations, P and Q. Line l is the transversal line as an outcome.∠RXU = 45°
∠UXS = ?
As we know that a line make 180 degree angle on it.
So, ∠UXS + ∠RXU = 180°
∠UXS = 180° - ∠RXU
∠UXS = 180° - 45°
= 135°
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Please help me. It’s due today I do not understand it
The slope of the line above is -2.
How to find the slope of a line?The slope of a line can be defined as the change in y with respect to the change in x .
The slope can be regarded as rise over run.
The slope can be express in mathematical form as follows;
slope = m = y₂ - y₁ / x₂ - x₁
using the coordinates on the graph,
(0, 3)(3, - 3)
x₁ = 0
x₂ = 3
y₁ = 3
y₂ = - 3
Therefore,
slope = -3 - 3 / 3 - 0
slope = - 6 / 3
Hence,
slope = - 2
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350 in standard form
Answer:
3.5 * 10^2
Step-by-step explanation:
So you start with 350.
What you do is take the decimal from the beginning of 350 and move it to the left.
350.0 -> 35.0-> 3.5
And you move the decimal until you get only one number in front of the decimal.
Then you take the number of times you moved the decimal and put it with ten so in this case it would be. 10^2.
Making the final answer: 3.5 * 10^2
Perimeter Given Coordinates
Oct 15, 11:32:13 AM
The points E(7,-5), F(7, 2), G(4, 8), and H(4, 1) form parallelogram EFGH. Plot
he points then click the "Graph Quadrilateral" button. Then find the perimeter of the
parallelogram. Round your answer to the nearest tenth if necessary.
4
Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.
There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.
A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.
Properties of parallelograms
Opposite sides are congruent (AB = DC).Opposite angels are congruent (D = B).Consecutive angles are supplementary (A + D = 180°).If one angle is right, then all angles are right.The diagonals of a parallelogram bisect each other.Given points are
E(7,-5),
F(7, 2),
G(4, 8), and
H(4, 1)
Perimeter of the parallelogram EFGH=2(EF+FG)
Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula
√(x₂ - x₁ )² + (y₂ - y₁)²
Hence ,length of EF =
√(7 - 7 )² + (2 - (-5))²
=√49
=7units
And length of FG =
√(4 - 7 )² + (8 - 4)²
= √16 + 9
= √25
=5units
Hence, Perimeter of the parallelogram EFGH=2(EF+FG)=2(5+7)=24units
We have form parallelogram EFGH. For the result see the attachment-
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Answer:
27.4 units
Step-by-step explanation:
Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.
Distance between two pointsThe distance between two points can be found from their coordinates using the distance formula ...
d = √((x2 -x1)² +(y2 -y1)²)
ApplicationThe distance between points F and G is ...
d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708
The distance between points E and F will be the difference of their y-coordinates:
d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7
PerimeterSince opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:
P = 2(EF +FG)
P = 2(7 +6.708) = 2(13.708) = 27.416
The perimeter of EFGH is about 27.4 units.
Write the function for the graph.
The correct option is option B that is the function f(x) = 3 (4)ˣ.
A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).
The first option is
f(x) = 3 (12)ˣ, after putting point (1, 12)
12 ≠ 3 (12), so it is not required function.
The second option is
f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)
3 = 3 and 12 = 12, so it is the required function.
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2. Niayla and Hamilton each have a job selling aardvark habitats. Hamilton gets paid a
flat fee of 350 dollars plus 50 dollars for each habitat he sells. Niayla gets paid a
flat fee of 500 dollars 40 dollars for each habitat she sells. How many habitats
must Niayla and Hamilton sell to make an equal amount of money.
Considering the equation of selling habitat between Niayla and Hamilton, the number of habitats that Niayla and Hamilton must sell to make an equal amount of money is 15
How to determine the number of habitats that Niayla and Hamilton must sell to make equal amountinformation gotten from the question include
Hamilton gets paid a flat fee of 350 dollars plus 50 dollars for each habitat he sells
Niayla gets paid a flat fee of 500 dollars 40 dollars for each habitat she sells
The equation as described is a linear function and is represented by the form. y = mx + c
where:
y = total amount made
x = number of habitat sold
m = cost per habitat
c =flat fee
some interpretation on the information from the question include
for Hamilton
y = 50x + 350
for Niayla
y' = 40x + 500
To make equal amounts y = y'
50x + 350 = 40x + 500
500 - 350 = 50x - 40x
150 = 10x
x = 150 / 10
x = 15
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A financial planner has a client with 16000$ to invest. If he invests $10,000 in a certificate of deposit paying 12% annual simple interest, at what rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest?
As per the Simple interest concept, at 7% of rate the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest.
Simple interest.
Simple interest is calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
A financial planner has a client with 16000$ to invest.
Here we need to calculate the rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest when he invests $10,000 with the annual simple interest 12%.
Let us consider R represents the rate that remainder of money needs to be invested
Here we know that, $10,000 is invested at 12%
So, according to the formula the interest at 12% is evaluated as,
=> $10,000 * 0.12 * 1 = $1200
And the remaining $6000 is invested at R%
Then the interest at R%=$6000 * R * 1 = $6000R
Now we need to find that the two investments together need to yield at least $1620, so our equation to solve is:
$1620 = $1200 + $6000R
Now, we have to subtract $1200 from both sides, then we get,
$1620 - $1200=$6000R
Then collect similar terms
$420=$6000R
Now, divide both sides by $6000
R=0.07 or 7%
Therefore, the answer is 7%.
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In ΔSTU, \text{m}\angle S = (6x-15)^{\circ}m∠S=(6x−15)
∘
, \text{m}\angle T = (2x-2)^{\circ}m∠T=(2x−2)
∘
, and \text{m}\angle U = (4x-7)^{\circ}m∠U=(4x−7)
∘
. What is the value of x?x?
The value that makes the triangle a valid triangle is x = 17
What are angles?Angles are formed when two or more lines intersect.
This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the measure of x?The given parameters are
Shape = Triangle STU
Angle S = 6x - 15
Angle T = 2x - 2
Angle U = 4x - 7
The sum of angles in a triangle is 180 degrees
This means that
Angle S + Angle T + Angle U = 180
Substitute the known values in the above equation
So, we have the following:
6x - 15 + 2x - 2 + 4x - 7 = 180
Evaluate the like terms in the equation
So, we have the following:
12x = 180 + 15 + 2 + 7
Evaluate the like terms in the equation
So, we have the following:
12x = 204
Divide by 2
x = 17
Hence, the value of x is 17
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What is this number in standard form?
sixty-eight and fifty-four thousandths
Answer:
68.054
Step-by-step explanation:
I don't really have an explanation for this, it just is.
Sixty-eight (68) and fifty-four thousandths (.054, because the thousandths place is the third digit after the decimal point).
Victor made a scale drawing of bedroom using a scale in which 3 inches represents 2 feet. The height of his bedroom is 10 feet.What is the height of the scale drawing in inches?
please help due in 10 mintuees!!!
The height of the scale drawing in inches is 15.
As per the scale factor, the ratio of measurement in real is equal to the measurement to measurement of scale drawing. So, representing the two ratio -
3 inches : 2 feet = Height : 10 feet
Rearranging the formed ratio to find the height of bedroom in scale drawing is -
Height = (3 inches × 10 feet ) ÷ 2 feet
Performing division to find the height of bedroom in scale drawing
Height = 3×5
Performing multiplication to find the height of bedroom in scale drawing
Height = 15 inches
Therefore, scale drawing of 10 feet high bedroom will be 15 inches.
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191% as a mixed or whole number
Answer:
1 91/100
Step-by-step explanation:
everything you need is in the picture
goodluck :)
A cup of fruit contains 12 graps and 3 strawberries Compare strawberries to the total number of fruit
Answer:
There are 3 strawberries and the total number of fruit is 15, so 3:15 is the ratio, or 3/15.
Step-by-step explanation:
The total number is all of the fruits added together, so 12 + 3.
The 3 means the number of strawberries, so you just put them together into a ratio.
Hope this helps.
Mark as brainliest please
twice a number is no more than 7 units from 13
A bag contains 6 red marbles and 4 yellow marbles. A marble is drawn at random and not replaced. Two further draws are made, again without replacement.
What is the probability of drawing at least one red marble?
Answer:
6/10
Step-by-step explanation:
I think, however I may be very wrong, sorry.
Answer:
[tex]\sf \dfrac{29}{30}[/tex]
Step-by-step explanation:
A bag contains:
6 red marbles.4 yellow marbles.Therefore, the total number of marbles in the bag is 10 marbles.
The possible outcomes for drawing 3 marbles (without replacement) are:
R R RR R YR Y RR Y YY R RY R YY Y RY Y YTherefore, the only outcome where at least one red marble is not drawn is {Y Y Y}.
To find the probability of drawing at least one red marble, subtract the probability of drawing 3 yellow marbles from one.
The probability of drawing 3 yellow marbles without replacement is:
[tex]\implies\sf P(3\; yellow \;marbles)=\dfrac{4}{10} \times \dfrac{3}{9} \times \dfrac{2}{8}=\dfrac{24}{720}=\dfrac{1}{30}[/tex]
Therefore, the probability of drawing at least one red marble is:
[tex]\implies \sf P(At\;least\;one\;red\;marble)=1-\dfrac{1}{30}=\dfrac{29}{30}[/tex]
This can be confirmed by drawing a tree diagram (see attached).
To find the probability of drawing at least one red marble, add the probabilities at the end of each relevant final branch:
[tex]\begin{aligned}\implies \sf P(At\;least\;one\;red\;marble)&=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{10}\\\\&=\dfrac{4}{6}+\dfrac{3}{10}\\\\&=\dfrac{20}{30}+\dfrac{9}{30}\\\\&=\dfrac{29}{30}\end{aligned}[/tex]
How is solving 2x + c= d similar to solving 2x + 1= 9 for x?
Solving 2x+c = d is similar to solving 2x+1 = 9 because both the equations have similar pattern.
According to the question,
We have thee following two equations:
2x+c = d ....(1)
2x+1 = 9 ....(2)
Now, note in these equations that in equation 2 we have two different values of c and d. We have the value of c as 1 and d as 9.
Further, solving these two equations would be same because of the following:
For equation 1, we have:
2x+c = d
2x = d-c
x = (d-c)/2
For equation 2, we have:
2x+1 = 9
2x = 9-1
x = (9-1)/2
Now, observe that in finding the values of x in both the equations we have similar solutions except the fact that in equation 2 we have two values of c and d.
Hence, solving 2x+c = d and 2x+1 = 9 is similar.
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Which expression is equal to???
Simpilfy the variable expression below as much as you can :
7x+(5*6)z
NEED ANSWER ASAP THANK YOU!!!!
Answer:
7x + 30z
Step-by-step explanation:
7x +(5*6)z
= 7x + 30z
whats is 2 thirds minus a half
Step-by-step explanation:
I hope it will be helpful for you.
Estimate the square root of 39 to the nearest integer
9,999 divided by 9
Two answers
Answer:
1111...................... ................
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SM = RN, given RM = SN and ∠MRS = ∠NSR. Submit the entire proof to your instructor.Given:RM = SN∠MRS = ∠NSRProve:SM = RNSTATEMENTREASON1.1.2.2. Reflexive Property3.3.4.4.
EXPLANATION:
Given;
We are given two triangles labeled MRS and NSR.
Required;
We are required touse the information provided rto rove tside SM is equal to side RN.
Solution;
[tex]RM=SN---Given[/tex][tex]RS=SR---Reflexive\text{ }property[/tex][tex]\angle MRS=\angle NSR---Congruent\text{ }angles[/tex][tex]\begin{gathered} \Delta MRS\cong\Delta NSR---SAS \\ \end{gathered}[/tex]If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.
Therefore;
[tex]SM=RN[/tex]Factor out the GCF of 9x^−24x
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 2!!I NEED THIS BY **TODAY**
Answer:
(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)
Step-by-step explanation:
see picture
Brandon has seven pieces of chocolate.
He gives Colton one piece and Jill three pieces.
What fraction of chocolate does Brandon have now?
Answer:
4/7
Step-by-step explanation:
Answer:
Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.
Step-by-step explanation:
Step 1: Identify the fractions
Colton is given one of the seven pieces, so he has [tex]\frac{1}{7}[/tex] of the chocolate.
Jill is given three of the seven pieces, so she has [tex]\frac{3}{7}[/tex] of the chocolate.
Brandon himself had seven pieces at the beginning, so he had [tex]\frac{7}{7}[/tex] (the whole) of the chocolate.
Step 2: Do calculations with the fractions
Collectively, Colton and Jill have taken:
[tex]\frac{1}{7}+\frac{3}{7}\\\\\text{Add the fractions:}\\\frac{1+3}{7}\\\\\text{Calculate:}\\\frac{4}{7}~\text{of the chocolate}[/tex]
So, the fraction that Brandon has currently is:
[tex]\frac{7}{7}-\frac{4}{7}\\\\\text{Subtract the fractions:}\\\frac{7-4}{7}\\\\\text{Calculate:}\\\frac{3}{7}[/tex]
Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.
seven more than three times a number is 25 what is the number? please help asap thank u so much
Answer:
n = 10
Step-by-step explanation:
(10 * 3) + 7 = 37
Answer: 6
Step-by-step explanation:
With these type of problems, it is best to work backwards.
1. Because of the seven more, you subtract 7 from 25. This gives you 18.
2. Then it says three times, this means to divide by 3. 18/3 is 6
3. Your final answer is 6
Proving the answer is 6:
1. 3 [tex]*\\[/tex] 6 = 18
2. 18 + 7 = 25