Answer:
45/28
Step-by-step explanation:
Hey There!
They want us to find the tangent of R
Remember in sohcahTOA
t - tangent
o - opposite
a - adjacent
meaning that
[tex]tan = \frac{opposite}{adjacent}[/tex]
The opposite of angle r is 45
the adjacent of angle r is 28
so [tex]tanR=\frac{45}{28}[/tex]
12. In a certain cafe, all the sandwiches and drinks are priced the
same. A customer ordered three sandwiches and two drinks for
$14.70. Another customer bought two sandwiches and four drinks
for $13.80. Find the cost of one sandwich and the cost of one drink.
The cost of one sandwich is $3.90
The cost of one deknk is $1.50
hopefully this is correct
The system of equations are
The cost of one sandwich x = $ 3.90
The cost of one drink y = $ 1.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one sandwich be x
Let the cost of one drink be y
Now , the equation will be
A customer ordered three sandwiches and two drinks for $14.70
So , 3x + 2y = 14.70 be equation (1)
And , Another customer bought two sandwiches and four drinks for $13.80
So , 2x + 4y = 13.80 be equation (2)
On simplifying the equations , we get
Multiply equation (1) by 2 , we get
6x + 8y = 29.4 be equation (3)
Subtracting equation (2) from equation (3) , we get
4x = 15.6
Divide by 4 on both sides of the equation , we get
x = $ 3.90
So , the cost of one sandwich is $ 3.90
And ,
Substituting the value of x in equation (1) , we get
3x + 2y = 14.70
3 ( 3.90 ) + 2y = 14.70
11.70 + 2y = 14.70
Subtracting 11.70 on both sides of the equation , we get
2y = 3
Divide by 2 on both sides of the equation , we get
y = $ 1.50
So , the cost of one drink is $ 1.50
Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively
To learn more about equations click :
https://brainly.com/question/19297665
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Which is an equivalent ratio to 6/7?
Answer: 12 : 14 18 : 21 24 : 28 30 : 35
Step-by-step explanation:
hope these is the right answer to your question
Ms. Peters has 36 red, blue, and green markers. She has an equal number of
each color of marker. She arranges the red markers in 2 equal groups. How
many red markers are in each group?
18
9
6
12
Answer:
6 markers
Step-by-step explanation:
1) Find the number of red markers
Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.
36÷3=12
Therefore, Ms. Peters has 12 red markers.
2) Find the number of red markers in each group
Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.
12÷2=6
Therefore, there are 6 red markers in each group.
I hope this helps!
HELP ME ASAP!!!!!!!!!!!
Pls see question attached.
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT!!!!!!!!! Good Luck!
apokibunnyavatar xx
Answer:
y=2x-1
Step-by-step explanation:
Answer:
y=2x-1
Step-by-step explanation:
Every 1 x the line goes across it goes up 2 so x=2. You will also notice that the line passes through -1 on the y so y=2x-1/ BTW great graphing calculator to check lines and equations
desmos calculator
The community service club is raising money for a children's hospital. Earlier in the year, the club had raised $240 for the charity. The club then held a bake sale and after the sale they were able to donate a total of $750 to the charity. Write an equation and solve for the amount raised at the bake sale.
SOMEONE HELPPPP IS THIS ONE CORRECT?
Answer:
yea
Step-by-step explanation:
Rebekah traveled 540 miles in 9 hours. How many miles did she average each hour
Answer:
60 mph (miles per hour)
Step-by-step explanation:
540 ÷ 9 = 60
Sorry if this answer is short. I want to get as much answers before Exam Mode starts.
Sofia was following a recipe to cook for her friends. She only used ⅔ of the chicken in the recipe because it was a small gathering. If she ended up using 2.5 pounds of chicken, how many pounds of chicken are called for in the actual recipe?
Answer:
3.75
Step-by-step explanation:
Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for
Hopefully this helps- let me know if you have any questions
−9x−6y=15
9x−10y=145
y=
x=
Answer:
Step-by-step explanation:
Adding the two equations together gives you
9x-10y-9x-6y=145+15
-16y=160
y=-10, using this value in 9x-10y=145 gives you
9x-10(-10)=145
9x+100=145
9x=45
x=5
So y=-10 and x=5
Which of the following relations is NOT a function?
Answer: Option 2 because it's the only one with repeating x coordinates.
How many 7-digit even numbers can be
formed using all of the digits 0, 1, 1, 2,
3, 4, 5?
Answer: The answer is 1320 hope this is right.
Step-by-step explanation:
Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His business is growing and this week he must ship 20 pounds of merchandise. How much will he pay for shipping this week?
Answer:
34.20
Step-by-step explanation:
Because 10.38/6=1.78 1.78*20=34.20
Simplify 41/4 to a mixed number
Answer:
10 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
41/4 = 10 1/4
What is the slope of the line shown on the graph?
Answer:
Step-by-step explanation:
The slope, m, can be determined using any two points, and slope is defined as
m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)
m=(-1-0)/(5-0)
m=-1/5
What is the radius of the circle?
The diameter of a circle measures 7 5/6 inches.
Enter your answer as a mixed number.
__ in.
Answer first, answer right, get brainly.
Answer:
3 11/12 in.
Step-by-step explanation:
The radius is simply half of the diameter.
7 5/6 divide by 2 = 3 11/12
Please help!
Simplify. Your answer should contain only positive exponents.
Answer:
[tex]\frac{1}{4k^3}[/tex]
Step-by-step explanation:
It's already in a form that only ha positive exponents. Just to state it though you could rewrite it as [tex]k*(4k^{4})^{-1}[/tex] or [tex]k*4^{-1}*k^{-4}[/tex] The question asks for positive exponents though so yu don't need to do that.
You also need to know [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] so in this case [tex]\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}[/tex]
so [tex]\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}[/tex]
Please help!!!!!!!!!!!!
Answer:
[tex]40\frac{5}{8}mm^2[/tex]
Step-by-step explanation:
To find the area of a triangle, one must use the formula,
[tex]\frac{base*height}{2}[/tex]
It is given that
- base = [tex]9\frac{3}{4}[/tex]
-height = [tex]8\frac{1}{3}[/tex]
Substitute in the values and solve;
[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]
In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;
- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]
- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]
Substitute,
[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]
Cross simplify,
[tex]\frac{\frac{325}{4}}{2}[/tex]
Further simplify,
[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]
Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,
[tex]40\frac{5}{8}[/tex]
which of the following expression equal 44 / 100
Answer:
Where are the following expressions?
Step-by-step explanation:
Whats the equation to find the total cost ?
Perry deposits $175 into a simple interest account. The interest rate for the account is 4.25%. What would his final balance be in his account after 3 years?
Answer:
$197.31
Step-by-step explanation:
Given data
Principal= $175
Rate= 4.25%
TIme= 3 years
The expression for the simple interest is given as
A=P(1+rt)
substitute
A= 175(1+0.0425*3)
A= 175(1+0.1275)
A= 175(1.1275)
A= $197.31
Hence the balance will be $197.31
Use triangles to find the sum of the interior angle measures of the polygon.
Answer:
1440°
Step-by-step explanation:
From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°
Help if link i will report
If you had a cube with a side length of 4, how can your write the calculations in exponential form? You write it in exponential form by What are 2 other ways to read the exponent verbally.
4^3
you can write it like 4 × 4 × 4
you can also call it "Four to the Third power". or "Four cubed".
Research Team A grows bacteria in a Petri dish. There are initially 200 bacteria in the
dish and the number of bacteria increases 4% each hour. The researchers use the
expression 200(r)* to estimate the number of bacteria present after t hours.
What is the value of r in the expression?
A. 0.04
B. 0.96
C 1.04
D. 4.00
PLEASE HELP
Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?
Answer:
D. 800$
Step-by-step explanation:
Did it on USA test prep
Create a real life example that can be modeled by the expression –2 • 4.
Answer:
Some one buys an apple that costs two dollars out of there pocket fours times.
Step-by-step explanation:
A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?
Answer:
approx. $1.85 or $1.86 each marker
Answer:
1.85 for each
Step-by-step explanation:
Evaluate the following expression if x=3: (1/2)^x
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]
Sara picked 18 to 24 roses she divided flowers into groups so that the same number of tulips and roses were in each bouquet. What is the greatest number of bouquets she could have
Answer:
6 bouquet
Step-by-step explanation:
To obtain the greatest number of bouquet she could have ;
Obtain the greatest common factor of 18 and 24
Factors of 18 : 1 , 2, 3, 6, 9, 18
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
The greatest factor commo to both 18 and 24 is 6.
Hence, the greatest number of bouquet she could have is 6.
which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta) (1-cos^2(theta))
Answer:
A & B
Step-by-step explanation:
cos(theta)tan(theta) can be expressed as;
cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).
cos(theta) cancels out to give; sin(theta)
Thus is equivalent to option A