3 times a number less than 7 times the same number is 32. Find the number.
Answer:
x = 8
Step-by-step explanation:
7x-3x= 32
4x=32
/4 /4
x= 8
3 pounds of bananas costs $1.5. What is the constant of proportionality that relates the cost in dollars. y, to the number of pounds of bananas, x?
1.5
0.5
2.5
4.5
HELP ASAP
I need help with this problem please
Answer:
j = 2/3
Step-by-step explanation:
-1/3 = -1/2 j
Multiply each side by -2
-1/3 * -2 = -1/2 j * -2
2/3 =j
Answer:
j = 2/3
Step-by-step explanation:
-2/3 = -j
j = 2/3
If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?
Answer:
(f*g)(5.7)= -452.6, hopefully that answers your question
For positive acute angles AA and B,B, it is known that \tan A=\frac{28}{45}tanA= 45 28 and \cos B=\frac{3}{5}.CosB= 5 3 . Find the value of \cos(A+B)cos(A+B) in simplest form.
Answer:
[tex]\cos(A + B) = \frac{23}{265}[/tex]
Step-by-step explanation:
Given
[tex]\tan A=\frac{28}{45}[/tex]
[tex]\cos B=\frac{3}{5}[/tex]
Required
[tex]\cos(A+B)[/tex]
In trigonometry:
[tex]\cos(A+B) = \cos\ A\ cosB - sinA\ sinB[/tex]
We need to solve for cosA, sinA and sinB
Given that:
[tex]\tan A=\frac{28}{45}[/tex] and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),
So, we have:
[tex]x =28[/tex] and [tex]y = 45[/tex]
For this angle A, we need t calculate its hypotenuse (z).
Using Pythagoras,
[tex]z^2 = x^2 + y^2[/tex]
[tex]z = \sqrt{x^2 + y^2[/tex]
[tex]z = \sqrt{28^2 + 45^2[/tex]
[tex]z = \sqrt{2809[/tex]
[tex]z = 53[/tex]
From here, we can calculate sin and cos A
[tex]\sin A= \frac{opposite}{hypotenuse}[/tex] and [tex]\cos A= \frac{adjacent}{hypotenuse}[/tex]
[tex]\sin A= \frac{x}{z}[/tex]
[tex]\sin A= \frac{28}{53}[/tex]
[tex]\cos A= \frac{y}{z}[/tex]
[tex]\cos A= \frac{45}{53}[/tex]
To angle B.
Give that
[tex]\cos B=\frac{3}{5}[/tex] and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),
So, we have:
[tex]a = 3[/tex] and [tex]b = 5[/tex]
For this angle B, we need to calculate its opposite (b).
Using Pythagoras,
[tex]c^2 = a^2 + b^2[/tex]
[tex]5^2 = 3^2 + b^2[/tex]
[tex]25 = 9 + b^2[/tex]
Collect like terms
[tex]b^2 = 25 - 9[/tex]
[tex]b^2 = 16[/tex]
[tex]b = \sqrt{16[/tex]
[tex]b = 4[/tex]
From here, we can calculate sin B
[tex]\sin B= \frac{opposite}{hypotenuse}[/tex]
[tex]\sin B = \frac{b}{c}[/tex]
[tex]\sin B = \frac{4}{5}[/tex]
Recall that:
[tex]\cos(A+B) = \cos\ A\ cosB - sinA\ sinB[/tex]
and
[tex]\cos B=\frac{3}{5}[/tex] [tex]\sin B = \frac{4}{5}[/tex] [tex]\sin A= \frac{28}{53}[/tex] [tex]\cos A= \frac{45}{53}[/tex]
[tex]\cos(A + B) = \frac{45}{53} * \frac{3}{5} - \frac{28}{53} * \frac{4}{5}[/tex]
[tex]\cos(A + B) = \frac{135}{265} - \frac{112}{265}[/tex]
[tex]\cos(A + B) = \frac{135-112}{265}[/tex]
[tex]\cos(A + B) = \frac{23}{265}[/tex]
The value of [tex]\cos (A+B)[/tex] is [tex]-\frac{96}{265}[/tex].
Trigonometrically speaking, the sine, cosine and tangent of an angle are described by the following formulas:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
Where:
[tex]\theta[/tex] - Angle, in sexagesimal degrees.[tex]x[/tex] - Adjacent leg.[tex]y[/tex] - Opposite leg.And we have the following trigonometric identity for the cosine of the sum of angles:
[tex]\cos (A+B) = \cos A\cdot \cos B - \sin A \cdot \sin B[/tex] (4)
By (1) and (2), we rewrite (4):
[tex]\cos (A+B) = \frac{x_{A}\cdot x_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}} - \frac{y_{A}\cdot y_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}}[/tex]
If we know that [tex]x_{A} = 28[/tex], [tex]y_{A} = 45[/tex], [tex]x_{B} = 3[/tex] and [tex]y_{B} = 4[/tex], then the cosine for the sum of angles is:
[tex]\cos (A+B) = \frac{28\cdot 3}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}-\frac{45\cdot 4}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}[/tex]
[tex]\cos (A+B) = -\frac{96}{265}[/tex]
The value of [tex]\cos (A+B)[/tex] is [tex]-\frac{96}{265}[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
PLEASEEEE HELPPPP!! I’ll give brainiest!! This is a consumer math problem!
Answer:
sorry I dunno..........
Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?
Rewrite the following equation in standard form.
y + 7 = 2(x - 6)
Answer:
(-5)
Step-by-step explanation:
(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh
Figure MNPQR will be reflected across the x-axis to create figure M'N'P'Q'R'. Which rule describes this transformation? A.(x,y) → (-X,Y) B.(x,y)—>(—x,—y) ©. (x,y) → (x,y) D.(x,y) → (x,-y)
Answer:
D.(x,y) → (x,-y)
Step-by-step explanation:
If it is reflected across the X-axis, then the X variable will stay the same and the Y variable will change.
I hope this helps!! Good luck!!
(Sorry if I'm wrong! It's kinda awkward because it is placed in the second quadrant instead of the first.)
Answer:
its d
Step-by-step explanation:
Korie randomly selects a number from the numbers shown below. 54, 60, 11, 0, 5, 7, 20 What is the probability that the number she selects is an even number?
Answer:
there is a greater chance that she selects a even number because there are 4 even numbers and 3 odd numbers
Solve for x.
3x-5=7x+5
Answer:
x = -2.5 or -5/2
Step-by-step explanation:
How to find the constant of y=3/5x
Answer:
3/5
Step-by-step explanation:
y=3/5x = 0 x both sides by 5
5y-3x=0 reorder terms (community property)
-3x+5y=0
3x-5y=0 changes the signs when you do that
if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?
Answer:
$15.98
Step-by-step explanation:
25% off means it is 75% of its normal cost
0.75 x 20 = 15
The scarf is $15 after 25% discount. Then we calculate its final cost after tax:
6.5% = 0.065
1.065 x 15 = 15.975 which rounds to $15.98
Answer: 15.98
Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98
Please help. Its due in 30 mins.
Answer:
Step-by-step explanation:
Hey! I also asked this question before lol! Someone solved it so this is not my work:
"N+ 1 = 3+2/2
The answer is 3
This is a odd number"
Hope this helps ∞<3
Can someone help me ??
Answer:
(-5,2)
Step-by-step explanation:
i think the picture isn't that good
Answer:
I believe it is [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Hope this helps!
Does Y= -2/3x + 3 & Y=2/3x + 2 have unlimited solutions?
Answer:
x = 3/4
y = 2.5
Step-by-step explanation:
No there is just one.
Equate the ys
-2/3 x + 3 = 2/3 x + 2 Add 2/3 x to both sides
3 = 2/3 x + 2/3x + 2 Combine
3 = 4/3 x + 2 Subtract 2
3-2 = 4/3 x Multiply by 3
1 * 3 = 4x Divide by 4
3/4 = x
====================
y = 2/3 x + 2
y = 2/3 * 3/4 + 2
y = 6/12 + 2
y = 1/2 + 2
y = 2 1/2
y = 2.5
The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!
Answer:
Option (B)
Step-by-step explanation:
Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,
P ∝ C
P = kC
k = [tex]\frac{P}{C}[/tex]
Here k = proportionality constant
Since, the given line passes through a point (3, 2),
k = [tex]\frac{2}{3}[/tex]
Therefore, ratio of chocolate and peanuts mixed is [tex]\frac{2}{3}[/tex].
Option (B) is the correct option.
What is the value of x?
4x+2-(3+3x)=7
Answer:
x= 8
Step-by-step explanation:
Step 1- Distribute into the parenthesis by 1.
4x+2+3(-1)+3(-1)x= 7
Step 2- Simplify.
4x+2-3-3x= 7
Step 3- Add common variables.
(4x-3x)+(2-3)
1x-1= 7
Step 4- Add 1 to both sides.
1x-1= 7
+1 +1
1x= 8
Step 5- Divide both sides by 1.
1x= 8
1 1
x= 8
Can you give me a Brainliest
plz plz plz plz plz plz
Answer:x=8
Step-by-step explanation:
4x+2-(3+3x)=7
Distribute -1 in parentheses because there is an invisible 1
4x+2-3-3x=7
Combine like terms
X-1=7
Add one on both sides
x=8
Jeremy is paid $90 for 3 hours of work. How many minutes does it take him to earn $1?
Answer:
He makes $1 every 2 minutes
Step-by-step explanation:
If you break it down 60 minutes is in an hour and he works for 3 hours total so you multiply 60×3 which is 180 that's how many minutes he works for. Then you take the money he made and take the minutes and divide it by the money 180÷90=2 so he make $1 every 2 minutes
Q1147 11487 Laito 58 Primary 0914211068 to!
850010 Addis Abebo emosional dengele:
Subject: Maths
Name
Grade 7
2020/2021 AY
Full Date
cancriting
A minimum of 3 marks will be deducted for Neainess
HITE TRUE IF THE STATEMENT IS CORRECI AND FALSE IF ITS WRONG
1. Adjacent side is a line segment that connects two opposite vertices
Answer:
TRUE I REALLY HOPE THIS HELPS YOU OUT
Step-by-step explanation:
please help meeeeeeeeeeeee
What was the primary religlon of India?
O Buddhism
O Christianity
O Islam
O Hinduism
8) What is the correct equation of the line?
Answer:
y=1+2/3x
Step-by-step explanation:
1 is y intercept
2/3 is slope
The graph of is shown on the grid.
Which ordered pair is in the solution set of ?
Answer:
where's the graph rn ?
Step-by-step explanation:
is this question complete?
Find all solutions of
- 2r +4-8=0
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
Determine which set of numbers represent the lengths of the sides of a triangle.
A.
15, 12,9
B.
20, 10,9
C.
47, 21, 70
D.
12, 2.2, 14.3
will give brainliest!!
Answer:
I think its A
Step-by-step explanation:
Please mark brainliest
PLZ HELP
Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of the item?
0.93 c
c - 0.07 c
1.07 c
0.07 c
c + 0.07 c
Answer:
The total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07cStep-by-step explanation:
Given that c represents the retail cost of an item.Sales tax = 7%
= 7/100
= 0.07
Total cost of an iten can be calculated by adding the sales tax to the retail cost.
i.e. c + .07c
Therefore, the total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07cHELP ME PLEZ
Im timed lol
Answer:
1.) $1
2.)$4
3.)$12
4.)3/4
Step-by-step explanation:
32(.5)=16
she had 16 left after lunch. 16(.25)=4
16-4=12
1/2=2/4
2/4+1/4=3/4
Answer:
1) lunch 16
2) coffee 4
3) 12
4) 3/4ths or .75 or 75%
help me pls it's important
Answer:
50%?
Step-by-step explanation:
Answer:
55.5%
Step-by-step explanation:
Decrease is negative so It maybe - 55.5%
I need answer ASAP plz