the cost of a donut is $2 and the equation that represents the given scenario will be:
3d + 6c = 21.75d = 3.25What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.
Let " d" be the cost of a cup of coffee
and "c" be the cost of the donut
Since Each friend ordered a coffee and a donut
And there are 3 friends
Thus,
3(d + 2c) = 21.75
3d + 6c = 21.75
Also given, a cup of coffee costs $3.25
d = 3.25
Substituting the values in equation 1
9. 75 + 6c = 21.75
6c = 12
c = 2
therefore, the cost of a donut is $2.
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Based on the graph, which inequality is correct for a number that is to the right of -3?
A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.
a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6
Answer:
The inequality
[tex]4\:>\:-3[/tex]4 can is always greater than -3, so [tex]4\:>\:-3[/tex] is also correct.
Therefore, option 'a' is correct.
Step-by-step explanation:
Given the inequality
[tex]-3\:>\:4[/tex]-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.
Given the inequality
[tex]-2\:<\:-3[/tex]-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.
Given the inequality
[tex]-3\:<\:-6[/tex]-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex] is also incorrect.
Given the inequality
[tex]4\:>\:-3[/tex]4 can is always greater than -3, so [tex]4\:>\:-3[/tex] is also correct.
Therefore, option 'a' is correct.
Which expression is equivalent to (tangent (StartFraction theta Over 2 EndFraction) ) (negative sine theta)?
– 1 – cos(ϴ)
– 1 + cos(ϴ)
1 + cos(ϴ)
1 – cos(ϴ)
The given expression is equivalent to (-1 + cosθ). Option B is correct.
What is trigonometry?The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle.
The given data in the problem is;
[tex]\rightarrow \rm (tan(\frac{\theta}{2} )(-5sin\theta)\\\\ \rightarrow \frac{sin \frac{\theta}{2} }{cos \frac{\theta}{2}} \times - (2 sin n \frac{\theta}{2} \times {cos \frac{\theta}{2})[/tex]
[tex]\rightarrow - (2 sin ^2 \frac{\theta}{2})\\\\ -1+cos \theta[/tex]
The given expression is equivalent to (-1 + cosθ).
Hence,option B is correct.
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please help i have to finish this whole class by 12
Answer:
I think obesity and increased blood pressure.
Step-by-step explanation:
Answer:
obesity and high blood pressure
Step-by-step explanation:
When you eat a lot and don't exercise, your body stores up the extra carbs as fat. This can lead to weight gain and obesity if unchecked. Then in a worse case scenario, you can end up having high blood pressure.
•) Which expression has a base with an exponent of 4?
423
Зm4
4.2.y
P+4
Answer:
3m^4
Step-by-step explanation:
HELP URGENT PLEASE!!!!!!!!!!!!!!
Answer:
The supplement of 89° is the angle that when added to 89° forms a straight angle (180° ).
Step-by-step explanation:
What is the y-intercept of y = -3x + 6?
A -6
B -3
C. 3
D. 6
Answer:
6
Step-by-step explanation:
y = mx + b
m is slope
b is y-intercept
y = -3x + 6
Answer:
The y-intercept is D.6.
Step-by-step explanation:
The slope equation is y=mx+b. The b is the y-intercept.
Also you can set x=0, and you can get your y-intercept tht way.
y= -3(0) +6
y=6
What is the value of
[tex]\frac{6x-3y}{xy}[/tex]
when x=6 and y= -4?
Answer:
-2
Step-by-step explanation:
please help i need it
Answer:
The common factors are:
1, 2
The Greatest Common Factor:
GCF = 2
Step-by-step explanation:
The factors of 24 are:
1, 2, 3, 4, 6, 8, 12, 24
The factors of 34 are:
1, 2, 17, 34
The common factors are:
1, 2
The Greatest Common Factor:
GCF = 2
What are the leading coefficient, constant term and degree, if any, of the algebraic expression -7
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the degree of a certain polynomial will be the largest degree of any term.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.
We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial
will be 7.
We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial
will be 3.
Coming back to the question:
Given the expression
-7
As the expression has only 1 constant term i.e. -7 which does not involve any variable, hence the expression -7 has the degree zero.As the expression does not involve any variable, so it does not have any leading coefficient.As the expression contains only 1 term i.e. -7, and the term does not involve any variable. Thus, the expression has the constant term -7.Answer:
leading coefficient: -7
constant term: -7
degree: 0
Step-by-step explanation:
Is this a Right scalene, right isosceles, Obtuse Scalene, acute isosceles?
Answer:
right scalene
Step-by-step explanation:
there is a 90 degree angle, a right angle
also, none of the three angles/sides are congruent (the same)
Solve the value of z: 14/5 z/25 ?
Answer:
z=70
Step-by-step explanation:
Cross multiply to make it 5z=350, solve for z=70
Answer:
z=70
Step-by-step explanation:
cross multiply to make it 5z=350
A paint color requires the ratio of green paint to yellow paint to be 4 : 9. A container of this paint has 36 pints of yellow paint. How many pints of paint are in the container all together? *
Answer:
16:36
Step-by-step explanation:
If the ratio is 4:9 and yellow paint is 36 that means you have multiple 9 by a number and that number would be 4 to get 36 and you just multiply 4 by 4 which is 16 and your new ratio will be 16:36
Answer:
16
Step-by-step explanation:
If the ratio is 4:9 and there is 36 pints of yellow then it would be 4:9=x:36. 36 divided by 9 is 4 so you would multiply 4 to 4 and get 16.
Nineteen more than a number is 33. What is the number? 33 n 19
12
14
16
52
Answer:
14
Step-by-step explanation:
33-19=14
Answer:
14; B
Step-by-step explanation:
You know that x + 19 = 33.
If you subtract 19 from both sides you get 14.
or you could think of it this way:
if you have 19 things and there is another person that has x amount, but all together you have 33 things/items. Then you have to subtract in order to figure out how many things the other person has.
And you can check your work by just adding 19 and 14 which will indeed give you 33.
Hope this helps you out!
Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by
the equation y = 6x where y is distance in miles and x is time in hours. Who runs
faster?
Answer:
Jason runs faster then his friend.
Step-by-step explanation:
Jason's speed is represented by the equation y = 7x because he runs 7 miles in an hour. If his friend's speed is represented by y = 6x, then his friend runs a total of 6 miles in an hour.
The "square root of 61" is between which two whole numbers
!!!!!!!!HURRY!!!!!!
Answer:
7 and 8
Step-by-step explanation:
7^2 is 49 and 8^2 is 64
what segment is the diameter
Step-by-step explanation:
The one straight across
The graph below shows the price of different numbers of swim bags at a store:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 15, 30, 45, 60, and 75. Points are shown on ordered pairs 0, 0 and 2, 15 and 4, 30 and 6, 45 and 8, 60. These points are connected by a line. The label on the x axis is Number of Bags. The title on the y axis is Price in dollars.
Which equation can be used to determine p, the cost of b swim bags? (5 points)
Group of answer choices
p = 7.50 + b
b = 7.50 + p
p = 7.50b
b = 7.50p
Answer:
the answer is D
Step-by-step explanation:
Please help fast !!!! Five times as much as the quotient of 96 and 3 what is the answer?
Answer:
hiiii
Step-by-step explanation:
1440
Answer:
1440
Step-by-step explanation:
If m1 = 65°, find each measure. Give your reasoning.
its example 2
Answer:
m2=125°
m3=65°
m4=125°
m5=65°
m6=125°
m7=65°
m8=125°
i know the reason in French if you want
Step-by-step explanation:
m2=180-65=125°
m2 = m4 =125°
m3 =m1 =65°
m3= m5 =65°
m4 =m6=125°
m7=m5 =65°
m8=m6=125°
Rewrite the expression by collecting like terms.
1/2k - 3/8k
Answer:
1/8k
Step-by-step explanation:
1/2k= 4/8k
4/8k-3/8k=1/8k
Someone help, please
Which of the following describes how to translate the graph y = lxl to obtain the graph of y=Ix - 1|-1?
a) 1 unit right and 1 unit up
b) 1 unit left and 1 unit up
c) 1 unit left and 1 unit down
d) 1 unit right and 1 unit down
Answer:
c.
Step-by-step explanation:
I’ll give brainliest hurryyy
Which of the following is a true statement?
1. CM = CD
2. 2(AB) = AM
3. 2(MB) = AB
4. 1/2 (AM) = AB
Answer:
3. 2(MB) = AB
Step-by-step explanation:
1. This is not true because CM is less than CD.
2. This is not true because 2(AB) is greater than AM.
3. This is true because AB = 2(MB) or 2(AM).
4. This is not true because 1/2(AM) is less than AB.
Let's put some values on number 3 to check if it's, indeed, true.
Let's say AB's distance is 50 meters, then AM and MB should be half of it; that is: AM/MB = 25 meters. Let's check:
2(MB) = AB
2(25) = 50
50 = 50
What numbers make the product of 17? None?
Answer:
there is no Pairs that equal 17
Step-by-step explanation:
1 question. A big square is made up of 4 identical small squares the area of each small square is 25 cm A. Find the length of each side of the big square B. What is the perimeter of the big square 2. A rectangular swimming pool measures 15m by 8m it is surrounded by a path that is 2 m wide what is the area of the path?
Answer:
50cm
200cm
50cm^2
Step-by-step explanation:
The big square is divided into 4 with a side length of 25cm. 2 small square side lengths make up the big squares.
25 * 2 =
50cm
50 + 50 + 50 +50 =
200
15 +2
17
8 + 2
10
17 * 10 = 170
15 * 8 = 120
170-120 = 50
50cm^2
Juan has 35 pairs of shoes. Every week he gets rid of 3 pairs. After how many weeks
will he have less than 10 pairs of shoes?
I need the inequality
Answer: w < 9
Step-by-step explanation:
Answer:
9 weeks
Step-by-step explanation:
Divide the total pairs of shoes by how many you lose in a week and it will give you about how many weeks it'll take to get rid of all of the shoes:
35 / 3 = 11.67
Knowing your multiplication table is key for this! You will know that the best answer for this is 9 (and not 8 or 10) because...
3 x 8 = 24
3 x 9 = 27
3 x 10 = 30
Which will give you less than 10 pairs:
35 - 27 = 8
1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?
Answer:
50% chance
Step-by-step explanation:
if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.
1:rosalie is refinishing her basement. 4m by 6m are the dimentions of rosalies rectangular basement.how much tile would she need to cover the floor? 2: if the hight of the basment is 7m,how much wall area is there to paint? first answer is 24m
Answer:
24m tile for the floor and the 28+28+42+42=140m^2
Step-by-step explanation:
Trust me or else YOU be Major SUS
Also Mark me Brainiest please
with a coupon you can get a pair of shoes that normally cost $84 for only $72. what percentage was the discount? round the answer to the nearest percent.
Answer:
rounded to the nearest it would be 14%
Step-by-step explanation:
Evaluate the expression 4ab, for a =2 and b = 5
Answer:
40
Step-by-step explanation:
4x2=8
8x5=40
Answer:
40
Step-by-step explanation:
you do this 4(a*b)
ab is 10 so 4*ab=40
hint (if you see two variables without a symbol in between, multiply)