PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?
Answer:
160 pounds at 2.70
240 pounds at 3.20
Step-by-step explanation:
Let x be the pounds and 2.70 per pound
400-x is the pounds and 3.20 per pound
there will be 400 pounds and 3.00 per pound
2.70 x + (400-x) *3.20 = 400 *3
Distribute
2.70x +1280-3.20x = 1200
Combine like terms
-.5x +1280 = 1200
Subtract 1280 from each side
-.5x = -80
Divide each side by -.5
x = -80/-/5
x =160
160 pounds at 2.70
400-160 = 240 pounds at 3.20
What is the sum of the series?
10
Σ(7k– 2)
k=1
Answer:
365
Step-by-step explanation:
The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is
7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2
= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68
= 365
Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?
Answer:
7/16
Step-by-step explanation:
Mayas time: 1/4
Larrys time: 3/16
Total time: 1/4 + 3/16 LCM = 16 16/4 = 4 16/16 =1
: 1*4/4*4 + 3*1/16*1
: 4/16 + 3/16
: 7/16
HELP! WILL GIVE BRAINLIEST!
Answer: The answer is A
Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31
Answer:
(x , y)=(-31/306 , 775/51)
Step-by-step explanation:
6x-2y=-144x-3y=-31
Write as a system of equations.
6x-2y=-31
-144x-3y=-31
Multiply both sides of the equation by 24.
144x-48y=-744
-144x-3y=-31
Sum the equations vertically to eliminate at least one variable.
-51y=-775
Divide both sides of the equation by -51.
y=775/51
Substitute the given value of y into the equation 6x-2y=-31.
6x-2x775/51=-31
Solve the equation for x.
x=-31/306
The possible solution of the system is the ordered pair (x , y).
(x , y)=(-31/306 , 775/51)
what is the area of this triangle
Answer:
Probably b or e
Step-by-step explanation:
this took me a while to answer this.
4. A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).
options:
A. c = 230h + 20p
B. c + 180 = 50h + 20p
C. c = 180 + h + p
D. c = 180 + 50h + 20p
Answer:
it is D c= 180 + 50h + 20p
Step-by-step explanation:
c is the total cost and the boat is 180 but for additional hour it would be +$50
now the first four passenger is free but if another person comes on then it would be +$20 hope this help
The linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D)
What is a linear equation?"It is an equation in which the highest power of the variable is always 1."
For given example,
The boat rental has a flat fee of $180 for up to three hours.
Fixed rental cost = 180 ...............(1)
The boat rental has $50 per hour for each additional hour.
Let, h is each additional hour (over 3)
So, the rental cost for each additional hour = 50h .............(2)
The first four passengers are included in this cost, but $20 is charged for each additional passenger.
Here, p is each additional passenger (over 4)
So, the rental cost for each additional passenger = 20p ..................(3)
From (1), (2) and (3),
the required linear equation would be,
c = 180 + 50h + 20p
Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D).
Learn more about a linear equation here:
https://brainly.com/question/12974594
#SPJ2
pls help this is due before 11:59
Answer:
B
Step-by-step explanation:
232/4= 58
343/7= 49
58-49= 9
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
y=-6
y = 4
Answer:
x = - 5
Step-by-step explanation:
The line with equation x = - 2 is a vertical line parallel to the y- axis.
A parallel line will also have the equation
x = c
where c is the value opf the x- coordinates the line passes through.
The line passes through (- 5, 4) with x- coordinate - 5, thus
x = - 5 ← equation of parallel line
84 is 30% of what number?
2.8
25.2
280
2520
The right answer is 280
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
84 is 30% of 280
Step-by-step explanation:
Write and solve this equation: 84 = 0.30n, where n is the unknown number.
Then n = 84 / 0.30 = 280
84 is 30% of 280
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10
Answer:
[tex]x =6[/tex]
Step-by-step explanation:
Given
Bisected Sector AB;
AP = 15x - 11
PB = 9x + 25
Required
Find x
When a sector is bisected, it means the sector is divided equally into two;
Hence [tex]AP = PB[/tex]
This gives
[tex]15x - 11 = 9x + 25[/tex]
Add 11 to both sides
[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]
[tex]15x = 9x + 25 + 11[/tex]
[tex]15x = 9x + 36[/tex]
Subtract 9x from both sides
[tex]15x - 9x = 9x + 36 - 9x[/tex]
[tex]15x - 9x = 9x - 9x + 36[/tex]
[tex]6x = 36[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{36}{6}[/tex]
[tex]x = \frac{36}{6}[/tex]
[tex]x =6[/tex]
Hence, the value of x is 6
Answer:
x=6
Step-by-step explanation:
15x-11=9x+25
15x-9x=25+11
6x=36
x=6
what is the y-intercept of f(x)= -x^2÷1 +4
Answer:
(0, 4)
Step-by-step explanation:
Just set x = 0 and find y = f(x):
f(0) = [-(0)^2]÷1 +4 = 0÷1 + 4 = 4
The y-intercept is (0, 4)
A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?
Answer:
$584.28
Step-by-step explanation:
first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.
54 x 10.82 = 584.28
∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*
[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]
Answer:
m∠ A=78°
m∠ B=12°
Step-by-step explanation:
∠A+∠B=90°
15x+3+5x-13=90
20x-10=90
20x=100
x=5
∠A=(15×5+3)°=(75+3)°=78°
∠B=(5×5-13)°=(25-13)°=12°
Can someone help me with this ASAP I am so close to the end of this assignment!!!
Answer:
A
Step-by-step explanation:
[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]
So the right answer is √41
please see the attached picture for full solution
Hope this helps
Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5
Answer:
None, unless c was a typo
Step-by-step explanation:
Distributing gets us xy+2x=5
None of the options is that
If you meant option c as xy+2x = 5 though, then it would be correct
what do you think that ADA has explicit regulations on slopes and ramps?
Answer:
I think that the ADA (Americans with Disabilities Act) has explicit regulations on slopes and ramps so that people with disabilities can go about their daily life easier, and to guarantee the safety and wellbeing of the disabled. If, for instance, a wheelchair ramp were too steep, there would be a danger of the wheelchair rolling down too quickly, or the person falling backward on their way up.
Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?
Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *
Answer:
A =141.4875
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 16.17 * 8.75
A =141.4875
Find the prime factorization: 49 i am stuck
Answer:
49 can be broken down into 7 * 7 so the prime factorization is simply 7².
Answer:
Bruhhainliest
Step-by-step explanation:
7 and 7
1 and 49
7 x 7 is the prime factorization
x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.
Answer:
Y=3
X=1
3<1+3
Hope that helps
The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
The expression is
x and y are integers, y>2, x<2
y< x + 3
[tex]x < 2[/tex] , x can take any value less than two.
⇒ [tex]x=1[/tex] and
[tex]y > 2[/tex] , y can take any value greater than two
⇒ [tex]y=3[/tex]
Thus the expression becomes,
⇒ [tex]y < x + 3[/tex]
⇒ [tex]3 < 1 + 3[/tex]
⇒ [tex]3 < 4[/tex]
Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
Learn more about inequalities here
https://brainly.com/question/20383699
#SPJ3
explain the triangle angle sum property
Answer:
The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.
Step-by-step explanation:
Hevesh wants to make 2 lines of dominoes that are both 21 inches long. Each line has dominoes spaced 1 and 1/2 inches apart. How many dominoes will she need for both lines?
Answer: 30 dominoes in total.
Step-by-step explanation:
Each line is 21 inches long.
the space between dominoes is 1 + 1/2 inches.
(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,
The we have N + 1 dominoes per line, and the distance is:
N*(1 + 1/2)inches = 21 inches
If we find N, we can find the number of domineoes in each line:
N = 21/(1 + 1/2) = 14
This means that we have 14 + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.
Please answer the question stated below
Answer:
$252
Step-by-step explanation:
The price of the computer is $400
On saturday it is on sale for 30% off
30% of 400 or .3 x 400 = 120
400 - 120 = 280
Then, if she gets there before 9am there is an addition 10% off of the sale price (280)
So, 10% of 280 or .1 x 280 = 28
280 - 28 = 252
Hope this helps!
Solve.
-6x - 4y = -32
-2x + 7y = 6
A. (5, 3)
B. (5, 2)
C. (4, 3)
D. (4, 2)
Answer:
D
Step-by-step explanation:
-6x=4y-32
x=(2(2y-16))/-6
x=(2y-16)/-3
x=(-2/3)*y+16/3
solve for y:
-2((-2/3)*y+16/3)+7y=6
(4/3)y+21/3y+(-32/3)=18/3
(25/3)y=(18+32)/3
(25/3)y=50/3
25y=50
y = 2
solve for x:
-6x - 4y = -32
-6x - 8 = -32
-6x = -24
x = 4
answer: (4, 2)
Find the distance between k and l