Answer:
1)
40x + 70y ≤ 280 (red on the graph)
100x + 120y ≤ 1200 (blue on the graph)
2) see attachment
3) x=5, y=1
40*5 + 70*1 ≤ 280. 270 ≤280
x=3, y=2
40*3 + 70*2≤280, 260 ≤ 280
Can someone please help me with my homework.
Answer:
Step-by-step explanation:
a = 22 cm
b = 12 cm
h = 8 cm
[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(22+12)*8}{2}\\\\=\frac{34*8}{2}\\\\=34*4[/tex]
= 136 cm²
Please answer ASAP !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Paul needs to find 310% of 72%. which expression should he use?
Answer:
2.232, or 223.2%
Step-by-step explanation:
(3.1)(0.72)
Answer:
B
Step-by-step explanation:
i took the test and got it right
Here is a pattern made from sticks:
a) How many sticks would be in pattern number 6?
Answer: 32
b) How many sticks would be in pattern n?
Answer: ____
Recursive formula of an arithmetic sequence is given by the expression,
[tex]T_n=a+(n-1)d[/tex]
Where, [tex]T_n=[/tex] nth term
[tex]a=[/tex] First term of the sequence
[tex]n=[/tex] Number of term
[tex]d=[/tex] Common difference
Therefore, number of sticks in the 6th pattern are 32.
And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]
From the picture attached,
Number of sticks in 1st pattern = 7
Number of sticks in 2nd pattern = 12
Number of sticks in 3rd pattern = 17
Sequence formed is 7, 12, 17..... nth term
This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.
Therefore, nth term of the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
[tex]T_n=7+(n-1)5[/tex]
[tex]T_n=5n+2[/tex]
If [tex]n=6,[/tex]
[tex]T_n=7+(6-1)5[/tex]
[tex]T_n=7+25[/tex]
[tex]T_n=32[/tex]
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If PQRS is a rhombus, which statements must be true? Check all that apply.
Answer:
Options (B), (C) and (F) are correct.
Step-by-step explanation:
Properties of a rhombus,
1). All sides of a rhombus are equal in measure.
2). Both the diagonals of a rhombus are the perpendicular.
3). Diagonals bisect the vertex angles.
By these properties of a rhombus,
Option (B): PR is perpendicular to QS.
Option (C): ∠QPR ≅ ∠SPR
Option (F): PQ ≅ QR
Therefore, options (B), (C) and (F) are correct.
Answer:
B, C, F, and E are all correct.
Step-by-step explanation:
Determine the length of MN to the nearest tenth of a centimetre.
Select one or more:
a. 3.0 cm
b. 4.0 cm
c. 2.8 cm
d. 2.1 cm
Answer:
b. 4.0 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:
Cos = Adjacent/Hypotenuse
cos(35°) = NL/NK
NL = NK·cos(35°)
__
Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:
Sin = Opposite/Hypotenuse
sin(53°) = NM/NL
NM = NL·sin(53°)
Substituting from the first triangle, we have ...
NM = NK·cos(35°)·sin(53°)
NM = (6.1 cm)(0.81915)(0.79864)
NM ≈ 3.991 cm
MN ≈ 4.0 cm
Martha has $10,000 saved and wants to attend a college with a current tuition of $10,000 a year. She will graduate from high school in five years. Roughly how much more will Martha need to save for one-year's tuition to account for an annual rate of inflation of 3%?
Answer:
$1,592.74
Martha will need to pay $1,592.74 more
Step-by-step explanation:
Using the compound interest/inflation formula;
A = P(1+r)^(t)
Where;
A = final value
P = initial value = $10,000
r = inflation rate = 3% = 0.03
t = time = 5 years
Substituting the values;
A = $10,000(1+0.03)^(5)
A = $11592.740743
A = $11,592.74
How much more will Martha need to save;
C = final value - initial value = A - P
C = $11,592.74 - $10,000
C = $1,592.74
Martha will need to pay $1,592.74 more
Answer:
1,590.00
Step-by-step explanation: I took the test
URGENT!!! JUST NEED THESE 3!!! WILL GIVE BRANLIEST!!!
1. What is the measure of angle x? IMAGE 1 TO THE RIGHT SIDE IT IS 23 DEGREE AND TO THE LEFT IT IS 10 DEGREE
A) 100°
B) 147°
C) 60°
D) 33°
2. What is the measure of angle EGH? IMAGE 2
A) 102°
B) 38°
C) 78°
D) 26°
3. Find the value of x. IMAGE 3
A) 9.14
B) 15.2
C) 5.58
D) 10
Answer:
B.
A.
D.
Step-by-step explanation:
1.) Do 10 + 23 + x = 180. x = 147 Triangles add to 180, remember this or fail
2.) Do 64 + 38 + x = 180 to find the missing ∠G. G = 78
Now, a line is equal to 180 degrees. Remember this or you will fail. Do 180 - 78 to get your missing angle. 102 degrees
3.) Adjacent angles add up to equal 180, this is a very simple geometry concept. Remember it. 5x + 3 + 12x + 12 = 180
17x + 15 = 180
Subtract 15 from both sides to get 17x = 165
Divide both sides by 17 to get your x value of about 10
Multiple choice easy question! Please help!!!! Question in photo.
Answer:
B. -5.5 + (-8.3)
Step-by-step explanation:
The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.
ANSWER B. -5.5 + (-8.3)
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.
We are told that the longer side is 6.3, so a = 6.3, meaning that
2a+b = 15.7
2(6.3)+b = 15.7
12.6+b = 15.7
b = 15.7-12.6
b = 3.1
The triangle has sides of: 6.3, 6.3, 3.1
The perimeter is 6.3+6.3+3.1 = 15.7
Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7
Answer:
2(6.3)+b = 15.7 or 12.6+b = 15.7
Step-by-step explanation:
Find the third side in simplest radical form
Answer: 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
8^2 + 8^2 = c^2
64 + 64 = c^2
128=c^2
[tex]\sqrt{128}[/tex]
[tex]\sqrt{4 * 32}[/tex]
2[tex]\sqrt{4 * 8 }[/tex]
2* 2 [tex]\sqrt{4 * 2}[/tex]
4 * 2[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
Which of the following choices will simplify (8 − 5)2 + + 4
Answer:
10
Step-by-step explanation:
(8-5)2 + 4, let's start with the first step, the parentheses.
(8-5)=3 , then we multiply by 2, so (3)*2 which equals 6. 6+4=10!
Hope this helps! :)
Answer: the answer is 19
Step-by-step explanation:
i just got this question and got it right!
Factorise polynomials 15^2p-7p
Answer:
p ( 15p - 7)
Step-by-step explanation:
15 p^2 - 7p
The only common term is p so factor out p
p ( 15p - 7)
____________________________
15p^2-7p
take the common,
Ans: p(15p-7)
hope it helps
Good luck on your assignment
__________________________
f(x) = 20(1.5)x. Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms.
Answer:
[tex]x=log_{1.5}(\frac{y}{20})[/tex]
Step-by-step explanation:
Considering the function:
[tex]f(x) = 20\, (1.5)^x[/tex]
The independent variable is "x" and we are asked to model it in terms of the variable "y":
[tex]f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x[/tex]
Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.
Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":
[tex]y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})[/tex]
Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.
How many wildebeests migrated past the biologist during the first 20 minutes?
Enter your answer in the box.
Step-by-step explanation:
first minute = 24 wildebeest
by 20 min = (20 × 3) + 24 = 84 wildebeest
Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?
6.25x + 7.50 = 26.25
6.25x - 7.50 = 26.25
7.50x + 6.25 = 26.25
7.50x - 6.25 = 26.25
Answer:
6.25x + 7.50 = 26.25
Step-by-step explanation:
Given that
The admission fee is = $7.50
Each round costs = $6.25
Total money Clara paid = $26.25
The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-
we assume the number of rounds = x
Here, We can denote this equation in the following form
[tex]6.25x+7.50=26.25[/tex]
Therefore with the help of above equation we can now find out the x value
[tex]6.25x=26.25-7.50[/tex]
[tex]=> 6.25x=18.75[/tex]
[tex]=> x = 3[/tex]
So, Clara played 3 rounds of golf.
Please help me with my question!!
We know that the area of each tile is 3 1/2in^2
All we need to do is divide.
210 / 3.5 = 60
So, she will need 60 tiles to cover the entire bathroom floor.
Best of Luck!
Find the slope of the line will make brainiest
y= -3x +1
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-3
Step-by-step explanation:
if ay=bx+c , then the slope is b/a
I have 1*y=-3*x+1, the slope is -3/1=-3
Or
the slope is y2-y1/x2-x1
if x1=1 ,y1= -3*1+1=-3+1=-2
x2=2, y2=-3*2+1=-6+1=-5
the slope is (y2-y1)/(x2-x1)=(-5+2)/1=-3
it’s multi choice please help me out thankyou so much
Answer:
Yes
Step-by-step explanation:
If you look at the angle they're the same which gives you one hint. Then both side lengths are also equal making both triangles congruent.
This follows SAS( Side-Angle-Side)
Answer:
yes is the correct answer
Step-by-step explanation:
-In the term, 3x^5 , the number 5 is called ?
Answer:
Step-by-step explanation:
power i guess
Answer:
Exponent, Power or Indices
Step-by-step explanation:
The number is called Exponent, Power or Indices
Which is not a characteristic of the linear parent function?
A. It goes through the origin.
B. The domain is all real numbers.
C. It has a slope of 1.
D. The range is positive real numbers (y > 0).
Answer: D
Step-by-step explanation:
Find the value of (3 + 4)²·
Answer:
( 3 +4)² = 7² = 49
Hope this helps.
Answer:
49
Step-by-step explanation:
Follow the PEMDAS rule.
P- Parenthesis
E- Exponents
M- Multiplication
D- Division
A-Addition
S-Subtraction
Following this rule, you would add 3+4, which gets you 7.
Then, you would multiply 7 by 7, as that is what the exponent, two suggests
7x7 = 49.
thus,
(3 + 4)² = 49
A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
Directions: Find the value of x.
Answer:
x=14
Step-by-step explanation:
We know JNK+KNI must equal 180 because it is half of a circle.
31+9x+23=180
9x=126
x=14
Can the side lengths of 8, 9, and 12 form a triangle?
Yes
No
Please help help help :(
Yes, with sides 8,9 and 12 triangles can be formed.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
From the triangle property, the sum of the two sides of the triangle should be greater than the third side.
From the given data the sum of the two sides is greater than the third side.
8 + 9 > 12
17 > 12
Hence, with sides 8,9 and 12 triangles can be formed.
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Answer: Point A
Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.
what is the slope line of m (0,6),(3,0)
Answer:
slope= y²-y¹
x²-x¹
0-6
3-0
-6
3
= -2
Ky buys three tshirts originally priced at 49.96the stores discount applys 7.1 tax
Answer:
42
Step-by-step explanation:
49-7=42
which graph represents a quadratic function with a vertex at (0,0)
Answer:
parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.
Step-by-step explanation:
Answer: C) the third graph
Step-by-step explanation: i got 100% on my quiz, hope this helps!!
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
1/5 = 0.2
Step-by-step explanation:
(0,3) and (5,4)
average rate of change is slope
formula for slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
so [tex]\frac{4-3}{5-0} = \frac{1}{5}[/tex]