The inequality that describes the scenario will be; 35 + 12C ≥ 100.
The minimum number of classes a customer can take for Rebekah to meet her goal is 6
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
One-time initial fee = $35
Additional fee per class = $12
Minimum target = $100
Number of classes = C
One-time initial fee + (Additional fee per class) x (Number of classes) ≥ Minimum target
The inequality that describes the scenario will be;
35 + 12C ≥ 100
Then Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal,
12C ≥ 100 - 35
12C ≥ 65
C ≥ 65 / 12
C ≥ 5.42
Thus, The minimum number of classes a customer can take for Rebekah to meet her goal is 6
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i need help please
260 units2 is the answer
In the figure below MNOP is a parallelogram. Which of the following statements can be used to
explain why the shaded triangles are congruent?
Answer:
ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.Step-by-step explanation:
According to the choices given, only statements 1 and 3 are correct!
The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
How to solve congruency problems?The correct statement about the shaded triangles to explain the congruency is;
ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.
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A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40
feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es
Answer:
The height of the hill is 45 feet .
Step-by-step explanation:
Refer the attached figure
Let AB be the height of hill
We are given that He determines that the angle of elevation to the top of the hill is 50°
So, [tex]\angle ACB= 50^{\circ}[/tex]
Now He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°
So, CD=40 feet
BD=BC+CD=BC+40
[tex]\ADB= 30^{\circ}[/tex]
In ΔACB
[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 50^{\circ} =\frac{AB}{BC}\\1.1917 BC=AB ----1[/tex]
In ΔADB
[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ} =\frac{AB}{BD}\\\frac{1}{\sqrt{3}}=\frac{AB}{BC+40}\\\frac{1}{\sqrt{3}}(BC+40)=AB----2[/tex]
So,equate 1 and 2
[tex]1.1917 BC=\frac{1}{\sqrt{3}}(BC+40)\\BC=37.59[/tex]
Substitute the value in equation 1
1.1917 (37.59)=AB
44.796=AB
Hence the height of the hill is 45 feet .
PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.
Answer:
the guy is right
Step-by-step explanation:
The sum of 4 consecutive integers is 130 what is the third number in the sequence
PLZ HELP!!!
Answer:
33
Step-by-step explanation:
We can write an equation:
x+x+1+x+2+x+3=130
x represents the smallest number of the consecutive integers
By the way, an example of consecutive would be 2, 3, 4, 5 or 10, 11, 12, 13
We can combine like terms from our equation:
4x+6=130
4x=124
x=31
The smallest number is 31. The second number would be 31+1=32, which means the third number is 33!
Hope this helps! :) :)
Answer:
[tex]\huge\boxed{3rd\ number = 33}[/tex]
Step-by-step explanation:
Let the consecutive numbers(Coming one after another) be x, x+1, a+2 and x+3
So,
x+x+1+x+2+x+3 = 130
4x + 6 = 130
Subtracting 6 to both sides
4x = 130-6
4x = 124
Dividing both sides by 4
x = 32
So,
1st number = x = 31
2nd Number = x+1 = 31+1 = 32
3rd number = x+2 = 31+2 = 33
4th number = x+3 = 31+3 = 34
Slim Johnson was usually the best free-throw shooter on his basketball team. Early in the
season, however, he had made only 9 of 20 shots. By the end of the season, he had made all
the additional shots he had taken, thereby ending with a season record of 3:4. How many
additional shots had he taken?
Answer:
24
Step-by-step explanation:
(9 + x)/(20 + x) = 0.75
Solve that for x, the number of additional free throws taken.
9 + x = 15 + 0.75 x
0.25 x = 6
x=24
The required number of additional shots that were shot is 24.
Given that,
He had made only 9 of 20 shots. By the end of the season, he had made all the additional shots he had taken, thereby ending with a season record of 3:4.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the extra shots be x,
Now, according to the question,
Number of shots will be 9 + x and 20 + x,
And their ratio is 3:4
9 + x / 20 + x = 3 / 4
[9 + x] × 4 = 3 [20 + x]
36 + 4x = 60 + 3x
x = 60 - 36
x = 24
Thus, the required number of additional shots that were shot is 24.
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Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate plane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V1 and the aquarium. Question 4 options: A) 11 units B) 10 units C) 1 units D) units
Answer:
A
Step-by-step explanation:
To find the distance between V1 and AQ use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates of both V1: (-6, 5) AQ: (5, 5)
Now plug it in and solve for d (11)
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A. 322 mm^2
Step-by-step explanation:
First split the shape into two (a rectangle and a triangle).
Then calculate the area of those shapes.
Rectangle: 20 x 14 = 280 mm^2
Triangle: 6 x 14 / 2 = 42 mm^2
Add them together.
280 + 42 = 322 mm^2
What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
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If the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.
Hey there! I'm happy to help!
Sine is a trigonometric ratio. It is the ratio of the opposite side of the angle to the hypotenuse. Since it is a ratio, it does matter how big or small the triangle is as long as the sides remain in proportion. If the opposite side is 4 and the hypotenuse is 5, the sine of x will be the same as it would be if the opposite were 16 and the hypotenuse were 20 because they simplify to the same ratio (4/5).
The sine (or any trigonometric ratio) of any number stays the same even if the triangle is dilated because the proportion between the sides stays the same no matter how big or small. So, they told us the answer at the beginning. The sine of angle x is 4/5.
Have a wonderful day! :D
Answer: 4/5
Step-by-step explanation: Took the test and got it right. I assumed it was the same because angles do not change after being dilated.
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248
Step-by-step explanation:
A. ASA
B. CPCTC
C. AAS
D. SAS
Answer:
It is ASA congruence rule as the 2 angles and the included side of the triangle are equal
Please help I don't understand this problem!
Answer:
-17
Step-by-step explanation:
First thing to do in this equation is to multiply both sides by 22.
This becomes, -5+x=-22
Add 5 to both sides.
x=-17
Answer:
x = -17
Step-by-step explanation:
-5+x
-------- = -1
22
Multiply each side by 22
-5+x
-------- * 22= -1 *22
22
-5 +x = -22
Add 5 to each side
-5+x +5 = -22 +5
x = -17
help can somewon help me
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
Math Question (10 Points):
Answer:
x-axis
Step-by-step explanation:
Answer:
It is the x-axis
Step-by-step explanation:
In a graph, the horizontal part of it is called the x axis.
Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates
15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2. 3 one third negative one third −3
Answer:
k=(-1,5)=-5
Step-by-step explanation:
Answer:
ok i got the same question and i think it is and dont qoute me boy i aint said it but i think its B sorry if im wrong
Step-by-step explanation:
Select all decimals that are equivalent to (9 x 100) + (2 x 10) + (3x ) + (5 x it).
A. 92.35
B. 920.350
C. 902.35
D. 92.350
D E 920.35
F. 920.035
Answer:
the answer to the question is letter E I believe
PLEASE HELP ME WITH MY HOMEWORK!! ASAP! WILL PICK BRAINLIEST! DUE IN 15 MINUTES!!!
Answer:
watch 11:39 . clock is 11:24 . 210m . 1mm . 12 degrees . 3/4hrs .
Step-by-step explanation:
Step-by-step explanation:
10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39
Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24
11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210
so the distance of the bottom of the drill from there ground level is 210
12. x + 5
x - 3
to give their difference that will be 5+3 which will be 8
cross check
using 5 to represent x
5+5 =10
5-3 =2
the difference between them is 8 you can use another number to represent x but the difference will still be 8
13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56
14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15
so she waited at the airport for 2 hrs 15 minutes
15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900
that will be 6400-600 and 1900+600
so sola has 2500 while Dani has 5800
16. she can only pay back 40
B. (not sure)
17. meaning the sister owes 800 naira
b. by 1700+800 =2500
18. that gives 950000-97000 =853000
Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28
Answer:
[tex]\huge\boxed{x = 6 , y = -2}[/tex]
Step-by-step explanation:
[tex]\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)[/tex]
Taking equation (1)
[tex]\sf \frac{1}{2} x -3 y=9[/tex]
Multiplying both sides by 2
[tex]\sf x-6y = 18[/tex]
Adding 6y to both sides
[tex]\sf x = 18+6y[/tex]
Putting this in (2)
5(18+6y) + y = 28
5(18+6y) + y = 28
90 + 30y+y = 28
31y+90-28 = 0
31 y + 62 = 0
31y = -62
Dividing both sides by 31
y = -2
Now,
x = 18 + 6y
x = 18+6(-2)
x = 18-12
x = 6
Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes respectively to complete the round. If all of them start at the same point and go in same direction, when will they meet again at the start point?
Answer:
9:30 am
Step-by-step explanation:
factors of 10; 5 and 2
factors of 15; 5 and 3
factors of 25; 5 and 5
calculate lcm so, 5x5x3x2 =150
150 mins = 2hr 30mins
7am+2hr30min = 9:30 am
w is greater than -1 and less than or equal to 4
Use a only once in your inequality.
Answer:
-1 + w ≤ 4
Step-by-step explanation:
w is greater than -1 = -1 + w
Less than or equal to 4 = (anything less than or equal to 4)≤4
Answer:
[tex]-1<w\leq 4[/tex]
This shows that w is greater than -1 and less than or equal to 4
, through an inequality.
This is the greater than symbol: <
This is the less than or equal to symbol: [tex]\leq[/tex]
Hope that helped!!!
2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.
Answer:
P(-3) = -2
Step-by-step explanation:
Substitution
P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8
P(-3) = -2
__
Long Division
See the working below. The remainder is -2, so ...
P(-3) = -2
9.
The Sir Walter Scott Mental Health Center has a budget of $20.000 for recruiting costs
the position of Facility Director. The Center has spent $5,300 on advertising expenses and
$3,500 on interviewing expenses. They are willing to pay 5.5% commission on selling the
selected individual's home. What is the maximum selling price that the Sir Walter Scott
Mental Health Center would pay 5.5% commission on in order to stay at or below the
$20,000 in total recruiting costs?
Answer:
Hey there!
5300+3500=8800
20000-8800=11200
1.055x=11200
x can be at most 10616 dollars.
Hope this helps :)
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!!!!!Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)
Answer:
f(x) = −6(x + 1)(x + 5)
Step-by-step explanation:
f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.
Find the measure of FG. A. 9 B. 10 C. 11 D. 8
Answer:
x =11
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 15+x-2) * (x-2) = (19+x-3) * (x-3)
Combine like terms
(13+x) *(x-2) = (16+x) *(x-3)
Distribute
11x+x^2-26=13x+x^2-48
Subtract x^2 from each side
11x -26 = 13x -48
Subtract 11x from each side
-26 = 2x-48
Add 48 to each side
22 = 2x
Divide by 2
11 =x
Enrique has to pay 80% of a $200 phone bill. Explain how to use equivalent ratios to find 80% of $200. please help
Answer:
Heres a simple way:
Step-by-step explanation:
80% in to dec. 0.8
0.8 x 200 = 160
So,
80% of $200 is
$160
14. You bought shoes for $60. They were on sale for 40% off their original price.
a. Write a proportion to solve for the original price of the shoes.
b. Solve the proportion in part (a).
Find the distance between the points P and Q shown. Question 6 options: A. 73−−√ B. 13−−√ C. 5–√ D. 65−−√
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
[tex]Q(5, -1)[/tex]
[tex]P(-3, 2)[/tex]
Using the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]
[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]
[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{73}[/tex]
[tex]d\approx 8.5[/tex]
Find the perimeter and area of the shaded region.
Answer:
Perimeter of the shaded region= 22/7cm
Area = 36.48 cm²
Step-by-step explanation:
First of all for the perimeter.
The radius of the arc is 8cm
At an angle of 90°
Perimeter of of the shape is perimeter of the the 2 arc
The both arc are equal so let's determine the perimeter of one first.
Perimeter of the arc= 2πr*(90/360)
Perimeter of the arc= 2*22/7*1/4
Perimeter of the arc= 11/7 cm
Perimeter of the shades region= 2*11/7
Perimeter of the shaded region= 22/7cm
Area of the sector = πr²*(90/360)
Area of the sector= 50.24cm²
Area of non sector= 64-50.24
= 13.76
But non sector is two
Area of non sector= 2*13.76
= 27.52
Area of the shaded region = area of the square -(area of non sector)
= 64-27.52
= 36.48 cm²
Choose the property of real numbers that justifies the equation! Photo of questions are below
Answer:
Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication
Step-by-step explanation:
The required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
Given that,
A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Here,
1.
n.1 = n
It is a unit multiplication property.
2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.
3.
m.9 = 9.m
it is commutative property.
4.
0.c = 0
It is a property of zero multiplication.
Thus, the required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
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