Answer:
Correct choice is option A. 6a + 8b ≤ 200
7a + 5b ≤ 150
---> cereal A with grams will be multiplied by the sodium available in one gram of cereal A
----> The solution from the above equation would then be added to the cereal B with grams as well as its sodium content per grams.
6a + 8b ≤ 200
---> Cereal A's grams × Cereal A's calories + Cereal B's grams × Cereal B's calories is ≤ 150
so, 7a + 5b ≤ 150
I need help with quotients please can somebody help
cos30° cos45°-sin30° sin 45°
Answer:
(√6 - √2)/4
Step-by-step explanation:
cos30°cos45° - sin30°sin45°
= cos (30 + 45)°
= cos 75°
= (√6 - √2)/4
NOTE : answer only the 2nd question
Answer:
60 degrees.
Step-by-step explanation:
BC is parallel to the x axis (because B and C have the same y-coordinate).
Slope of AB is 3/√3 = √3
so the angle AB makes with the axis = angle it makes with BC
= arctan(√3)
= 60 degrees.
If m<3 = 54°, find each measure.
m<1 = 36° (str. <s)
m<2 = 90°
m<4 = 36° (str. <s)
m<5 = 90° (vert. opp. <s)
m<6 = 54° (vert. opp. <s)
m<7 = 126° (str. <s)
m<8 = 54° (< sum of triangle)
m<9 = 126° (vert. opp. <s)
m<10 = 54° (vert. opp. <s)
m<11 = 36° (alt. <s)
m<12 = 144° (str. <s)
m<13 = 36° (vert. opp. <s)
m<14 = 144° (vert. opp. <s)
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18
Find mZWVT.
T
U
7x +11)
V
(14x+7)
(3x + 4)º
W
A. 40
OB. 53
OC.50
OD. 45
Answer:
[tex]\huge\boxed{\sf <WVT = 40\°}[/tex]
Step-by-step explanation:
According to one of the tangent-secant theorems,
∠WVT = [tex]\frac{1}{2} (arc\ TW-arc\ UW)[/tex]
Given that:
∠WVT = (3x + 4)°
arc TW = (14x + 7)°
arc UW = (7x + 11)°
Solution:
3x + 4 = 1/2 (14x + 7 - (7x + 11))
3x + 4 = 1/2 (14x + 7 - 7x - 11)
3x + 4 = 1/2 ( 7x - 4 )
Multiply both sides by 2
2 ( 3x + 4 ) = 7x - 4
6x + 8 = 7x - 4
Combining like terms
7x - 6x = 8 + 4
x = 12
Finding ∠WVT:
∠WVT = (3x + 4)°
∠WVT = (3(12)+4)°
∠WVT = (36+4)°
∠WVT = 40°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!The area of a rectangular swimming pool is 240 sq. ft. If the length of the swimming pool is 10 ft. and the width is x-2 ft., what is the value of x?
Answer:
x= 26
Step-by-step explanation:
area of rectangle = L×b
240 = 10(x-2)
240 = 10x - 20
240+20 =10x
260 =10x
260/10 = x
26 = x
:,x =26
The required value of x is 26
please mark me as branliest
The value of 5x2 - 11x + 18 is
when x = 2.4 and
whenx = -3.
f(x)=5x^2-11x+18
[tex]\\ \sf\longmapsto f(2.4)[/tex]
[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]
[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]
[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]
[tex]\\ \sf\longmapsto 2.4+18[/tex]
[tex]\\ \sf\longmapsto 20.4[/tex]
And
[tex]\\ \sf\longmapsto f(-3)[/tex]
[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]
[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]
[tex]\\ \sf\longmapsto 45+51[/tex]
[tex]\\ \sf\longmapsto 96[/tex]
The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The quadratic expression is given below.
⇒ 5x² - 11x + 18
The value of the expression at x = 2.4, then the value of the expression will be
⇒ 5(2.4)² - 11(2.4) + 18
⇒ 28.8 - 26.4 + 18
⇒ 20.4
The value of the expression at x = -3, then the value of the expression will be
⇒ 5(-3)² - 11(-3) + 18
⇒ 45 + 33 + 18
⇒ 96
The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Use the graph of f to find F(2).
A. 0.5
B. Does not exist
C. -8
D. -0.5
Hey there! Before we start with the problem, you mean f(2) instead of F(2) if I'm correct. In maths, variables are case-sentitive so F and f both are different.
First, f(2) means the value of y at x = 2.
f(2) is when we substitute x = 2 in and receive the output (y-value).
In coordinate plane, we have (x,y) as a point. What we have to do is to look at the graph, you will see the point that contains (2,-8)
That's it! Refer above, f(2) is when we substitute x = 2 and get y-value.
Hence, f(2) = -8
Let me know if you have any questions!
Topic: Function
A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?
please help with this one
A. is the correct answer
Answer:
A
Step-by-step explanation:
(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.
Evaluate \dfrac {9}m+4 m 9 +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.
Fractions can be evaluated, same way non fractions are evaluated
The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
The given parameters are:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
[tex]\mathbf{m = 3}[/tex]
So, we have:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
Substitute 3 for m
[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]
Evaluate the division
[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]
Add 3 and 4
[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]
Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
Read more about fractions at:
https://brainly.com/question/6201432
What is 10 x 0.018? HELP I WILL PLEASE
Answer:
0.18Step-by-step explanation:
10 x 0.018
(On multiplying 10 decimal point will shift one side right)
= 0.18 (Ans)
Answer:
your answer is 0.18
I hope it's helps you
Which number line represents the solution set for the inequality 2x - 62 6(x-2) + 8?
Answer:
-15 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1.5 0 0.5 1 1.5
Step-by-step explanation:
Ichiro's batting average in baseball is 0.342. This is
0.08 higher than Giancarlo's batting average. What is
Giancarlo's batting average?
Is the fraction 1/3 equivalent to a terminating decimal or a decimal that dose not terminate
Answer:
1/3 = .3333333 forever
Step-by-step explanation:
It's a decimal that doesn't terminate.
triangle ABC is congruent to triangle DBC
Answer:
hi i am new in this app can u help
Step-by-step explanation:
hi miss can you help
WILL MARK BRAINLIEST
Given the linear function f(x)= - 5/8x + 16, does the point (1,2) lie on the line?
3.9015 to the nearest thousandth
Answer:
3.902.
Step-by-step explanation:
3. 9015:
The 10 thousandth digit is 5 so you round up the 1 to 2.
help plz i will rate
Answer:
Step-by-step explanation:
94 degrees.
Answer:
m1 = 94°
m2 = 26°
m3 = 60°
m4 = 26°
m5 = 60°
m6 = 120°
m7 = 60°
m8 = 60°
m9 = 94°
m10 = 94°
A. 3
B. 0.667
C. 0.333
D. 6
Answer:
C. 0.333
Step-by-step explanation:
It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333
Answer:
A. 3
Hope this helps :)
Simplify.
What is the answer?
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
Distribute 9x(9x+3) help please
[tex]9x(9x + 3) \\ \\ 81 {x}^{2} + 27x[/tex]
Hope it help youEasy slope equation just don’t remember
Find the 68th multiple of 89, if the 69th multiple is 6141.
Answer:
6141 - 89 = The 68th multiple (6052)
Harry and Olivia are planning to buy a bedroom furniture set that costs $4,100 plus 6% taxes. They would like to apply for a 0% APR store credit card on purchases for 10 months. How much money do they need to pay in equal installments monthly for the next 10 months such that they will be able to pay off the bedroom furniture set before the 0% APR offer expires?
Answer:
434.60
Step-by-step explanation:
What time is shown on the clock?
Answer:
its 12.03
have a great dayy
Answer:
12:40
hope this will help you have a great day
The sum of elght and a number is one hundred. What is the number?
Answer:
92
Step-by-step explanation:
[tex]8+x=100\\\\x=92[/tex]
Answer: B. 92
Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92
Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places
Answer:
length between is 8.54 units
Step-by-step explanation:
Formular:
[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]
x1 is -4
x2 is 4
y1 is 4
y2 is 1
[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]
Answer:
Distance = 8.25 units
Step-by-step explanation:
use the formula :
√ (x2 _ x1) + (y2 - y1)
where ,
x2 = 4
x1 = -4
y2 = 1
y1 = -1
Use the substitution method
y=6x+2 and y=3x+11
Solve for x and y
please put in ordered pair
Answer:
222222
Step-by-step explanation: