Answer:
[tex] \sf{115 = 5k}[/tex]
[tex] : \implies \sf{5k = 115}[/tex]
[tex] : \implies \sf{k = \cancel\dfrac{115}{5} }[/tex]
[tex] : \implies \sf{k = 23}[/tex]
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
Answer:
The first operation performed is multiplying 9 and 5
Step-by-step explanation:
Remember BPEMDAS
1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction
We look at the parenthesis first, and we notice we are multiplying 2 numbers together, so that is our first step.
Answer:
9x is the first part of the equation
Step-by-step explanation: so 9 times x and x would be 5 :D
Please asap!!!!! (photo below)
Answer:
132 degrees
Step-by-step explanation:
these angles are Alternate interior angles so angle A is congruent to angle B.
5x-18 = 3x+42
-3x -3x
2x-18 = 42
+18 +18
2x = 60
÷2 ÷2
x=30
A=5(30) -18
= 150-18
= 132 degrees
HOPE THIS HELPS
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week. Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work. Graph the inequalities. What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain. What is the maximum amount of money Lia can earn in 1 week? Explain.
Answer:
(a)
[tex]r\geq 5[/tex]
[tex]r+y\leq 15[/tex]
[tex]8r+12y\geq 120[/tex]
[tex]y\geq 0[/tex]
(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours
(d)Maximum Earning = $160
Step-by-step explanation:
Let r be the number of hours worked at the restaurant.
Let y be the number of hours of yard work,
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.
[tex]r\geq 5[/tex]
Since she does yard work, [tex]y\geq 0[/tex]
Lia’s parents allow her to work a maximum of 15 hours per week overall.
[tex]r+y\leq 15[/tex]
Lia’s goal is to earn at least $120 per week.
The restaurant, r pays $8 per hour
Yard work, y pays $12 per hour.
Therefore:
[tex]8r+12y\geq 120[/tex]
The system of inequalities that represent this problem is therefore:
[tex]r\geq 5[/tex]
[tex]r+y\leq 15[/tex]
[tex]8r+12y\geq 120[/tex]
[tex]y\geq 0[/tex]
(b)The graph of the inequality is attached below
(c)When the graph is plotted, the vertices of the feasible region are:
(5,10)(5, 6.7)(15,0)Where the first term is for the number of hours worked in the restaurant.
The maximum value of r possible is 15 from the three points.
Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.
(d)Maximum Amount Lia can earn in 1 Week
At (5,10), Earning=(5X8)+(10X12)=40+120=$160At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4At (15,0) Earning=(15X8)+(0X12)=$120Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.
The graph shows that you are traveling at a constant rate. Three of the statements are true. Which is NOT? please help me in return i will help u anything Physics.
Answer:
speed = distance/time
distance = 60 miles
time = 1.5 h
speed = 60/1.5
= 40 miles per hour
so the answer in the pic is the correct answer
The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 1.5 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 60 / 1.5 )
Slope m = 40 miles per hour
So , the speed of the travel is 40 mph
And , the equation of line is y - y₁ = m ( x - x₁ )
y = 40x , where x is the number of hours
Hence , the speed of the travel is 40 miles per hour
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Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14.
Complete question is:
Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?
Answer:
when x = 5; both expressions are equivalent and equal to 14
Step-by-step explanation:
We are told the expressions are:
(x + 4 + x) and (6 + 2x - 2).
We are also told that when x = 3,both expressions are equal and have a value of 10 each.
Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.
So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);
So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14
So when x = 5; both expressions are equivalent and equal to 14
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below. 3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds. Where, if anywhere, did Carina make an error?
Answer:
She subtracted 3.4 on the left and added 3.40 on the right
Step-by-step explanation:
3.40 + 0.85 x = 5.27
Subtract 3.40 from each side
3.40 -3.40+ 0.85 x = 5.27-3.40
.85x = 5.27 - 3.40
.85x =1.87
Divide by .85
.85x/.85 =1.87/.85
x = 2.2
Answer:
(C) Carina should have subtracted 3.40 from 5.27.
Step-by-step explanation:
HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Find the value of x. 7x+15=30
Answer: x=2.1
Step-by-step explanation:
[tex]7x+15=30[/tex]
[tex]-15[/tex] on both sides
7x=15
divide 7 on both sides
x=2.14
round
x=2.1
Answer:
x= 15/7
hope it helps!
Step-by-step explanation:
First state the equation:
7x+15=30
Bring 15 to the other side of the equation, making the (+) to (-)
So,
7x+15= 30
7x= 30-15
7x= 15
Bring 7 to the other side, it'll become 1/7
x= 15*1/7
= 15/7
= 2.14 in decimal form
Please help me it takes do long to do this please
Answer:
I really don't know , I am in 7th grade
Answer:
x = 121°
Step-by-step explanation:
The lower left vertex and 115 are adjacent and supplementary, thus
left vertex = 180° - 115° = 65°
The angle round a point = 360°, so the top vertex is
360° - 304° = 56°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 65° + 56° = 121°
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
chocolate chunk brownies. If Grayson's recipe calls for 500 grams of sugar per batch, how
many kilograms of sugar should he buy?
multiply 500 by 4 to know how much is needed in grams first
500×4 = 2000
convert 2000grams to kilograms
since 1000grams make 1 kilograms....then divide 2000 by 1000
which would give you 2000/1000
answer = 2kg of sugar
Answer:
The answer is 2
Step-by-step explanation:
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0? 2x - y - 4 = 0 2x + y - 4 = 0 2x + y + 4 = 0
Answer:
2x + y - 4 = 0
Step-by-step explanation:
slope = -2
y = mx + b
2 = -2(1) + b
4 = b
y = -2x + 4
2x + y - 4 = 0
Answer:
the answer is 2x + y - 4 = 0
Step-by-step explanation:
me and my friend did the math and got 2x + y - 4 = 0
Lisa works 6 hours at $13.75 per hour. How much does she earn?
Answer:
$82.50
Step-by-step explanation:
Given that the unit rate is $13.75 per hour,
1 hour -----> $13.75
6 hours -----> $13.75 x 6 = $82.50
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Hiro is creating a smaller scaled replica of a triangular canvas. Which of the following expressions will help him determine the length of segment BE?
(answer choices are included in the attachments)
I thought it was B, but my answer was wrong.
Answer:
its actaully c because its left alone once you subtract
The correct answer is option (D).
What is a triangle?A triangle is a polygon with 3 sides.
Given the triangles ΔABE and ΔACD.
The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.
Since the triangles are similar, the ratio of their corresponding sides is proportional.
Therefore,
BE/CD = AB/AC
Or, BE = CD· (AB/AC)
Hence, the correct answer is option (D).
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The difference of 2 numbers is 2 and their product is 80
Please respond quick
Answer:
8 and 10
Step-by-step explanation:
10-8=2
10*8=80
Answer:
list factors of 80
1,80
2,40
4,20
5,16
8,10
Which factors have a difference of 2?
80-1=79
40-2=38
20-4=16
16-5=11
10-8=2
10 and 8 have a difference of 2 so 10 and 8 is the answer. Hope this helps
Step-by-step explanation:
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.
Select the correct answer.
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each. She wants to buy
at least 5 items while spending under $60.
Which graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal?
Answer:
The graphs are missing, but we can find the inequality for this problem:
She has $60.
The price of a T-shirt is $10, the price of a sweatshirt is $14.
If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:
T + S ≥ 5 (because she wants to buy at least 5 items)
T*$10 + S*$14 < $60 (because she wants to spend under $60)
Those two inequalities define the number of T-shirts and sweatshirts that she can buy.
The intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each.
Here, graph are missing.
Let's suppose the number of T-shirts is T and the number of sweatshirts is S.
T + S ≥ 5 (because she wants to buy at least 5 items)
10T + 14S < 14 (spending under $60)
If we plot the above inequality on a coordinate plane.
Thus, the intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
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Find the range of values for which
x2–5x + 6 < 0
here, we are required to find the range of values for which
The range of values for which x²–5x + 6 < 0
is at; x < 3
x2–5x + 6 < 0
By solving the expression quadratically; we have;
x² -3x -2x +6 < 0
By factorization;
(x - 2)(x - 3) < 0
Therefore;
x < 2 and x < 3.The range of values for which x²–5x + 6 < 0
is at;
x < 3
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Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute
Answer:
Daniel
Step-by-step explanation:
By far
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
I will mark you brainliest!!!! Identify two inequalities that represent this situation.
If three out of four side lengths are all the same would that be a parallelogram?
Answer:
No
Step-by-step explanation:
PLEASE HELP
subtract
(-4w^ -9n) - (- 15w^)
Answer:
-5 • (2w + 1)
—————
2
Step-by-step explanation:
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
Find the 10th term of the geometric sequence 1, 3, 9, .
Answer:
19683
Step-by-step explanation:
As the formula of the geometric sequence:
[tex]a_{n} =a_{1} *r^{n-1}[/tex]
In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:
[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]
Hope this helps!
WORKSHEET-1
1. Solve the following equations
a) 2x+5 = 1
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 1 ( subtract 5 from both sides )
2x = 1-5
2x = -4 ( divide both sides by 2 )
2x ÷ 2 = -4 ÷ 2
x = -2
Answer: x = -2
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 5 is being added to 2x, we subtract 5
from both sides of the equation to isolate the 2x.
On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.
So we have 2x = -4.
Now we can finish things off by just
dividing both sides of the equation by 2.
On the left, the 2's cancel and on the right, -4 divide by 2 is -2.
So x = -2.
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13