Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5
Answer:
y=3x+5
Step-by-step explanation:
y=y=y=x+x+x+5 is what I think you were saying. In that case:
y=x+x+x+5
y=3x+5
The equation of the line is y=3x+5
The equation of the given line is y = 2/3 x - 2
The standard form of the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
from the diagram attached, we can use the coordinate (0, -2) and (3, 0)
Get the slope
Slope "m" = 0-(-2)/3-0
m = 2/3
Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2
Substitute the given parameters into the equation:
y = mx + b
y = 2/3 x + (-2)
y = 2/3 x - 2
Hence the equation of the given line is y = 2/3 x - 2
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Conner has $25,000 in his bank account. Every month he spends
$1,500. He does not add money to the account. Which equation could
be used to figure out when Conner will run out of money?
Answer: The answer is the last variant.[tex]\boxed{\boxed{25000-1500*x=0}} \\\\\\ \b{For x=16 months} \ \ \ \to \to \to \ \ \ 25000-1500*16= 25000-24000 = \boxed { 1000 < 1500}[/tex]
Step-by-step explanation:
There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.
Which of the following graphs includes the possible values for the number of people who still need to sign up for the team?
Answer:
B
Step-by-step explanation:
B is correct because it includes 5 and everything higher than that. There needs to be at least 5 more people signing up, and this number line is the only one that shows that, since it includes 5 and more.
Explain what is wrong with each of the following statements.
a. Seen in a tourist guide: “This state has the largest area of shoreline of any state in the region
b. Seen in a house description: “This house has over 3,200 feet.”
c. Seen in an advertisement: “Spring special: Mulch is only $39/yard.”
Answer:
See belowStep-by-step explanation:
A. Shoreline isn't measured in area, but amount.
B. Houses aren't measured in feet, but square feet.
C. Mulch isn't sold by the yard, but the pound.
I'm always happy to help :)
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan (θ +x) and sin (θ +x))
Answer:
tan (θ+x)= -33/56
sin (θ+x)=33/65
Step-by-step explanation:
cosθ= -4/5 , sin x = -12/13
cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)
sinθ=- √(1-16/25)=- √(9/25)=-3/5
sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)
cosx=√(1-144/169)= √(25/169)=5/13
tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4
tgx= sinx/cosx=(-12/13)/(5/13)= -12/5
tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)
tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56
sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65
In what ways are the sine and cosine graphs different?
Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve. A sine graph is the lighter curve on the graph.
a garden has the lengths of 11m,8m,19m and 10m work out the area
Answer:
A(lawn) = 68 m²
Step-by-step explanation:
A(lawn) = Agarden - Aflower - Avegetables
= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2
= 140m² - 12m² - 60m²
= 68 m²
A(rectangle) = w × h
A(triangle) = ½ × b × h
A(trapeze) = ½(B+b) × h
a) write in simplified form the value of the area of the trapesoid.
Answer:
[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]
Find the missing angles in the figure below.
Answer: The answer is A. Just check the only answer with y=z.
Answer:
First option is right.
Step-by-step explanation:
w=78 (vertically opposite angles)
l=82 (vertically opposite angles)
M= 180-64=116 (linear pair)
sorry im not sure how to find y and z
How many 6 packs of soda do jace and jake need to buy if each person has one soda?
Answer:
3 6 pks are required
Step-by-step explanation:
There are 14 people at the party
14 = 6x where x is the number of 6 pks
Divide each side by 6
14/6 = 6x/6
2 1/3 = x
Since we cannot buy part of a 6 pk, we round up
3 6 pks are required
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
F(x) is a function
A.true
B.false
Answer:
false
Step-by-step explanation:
A function has a one to one correspondence. That means each input goes to one output. 12 goes to 2 different outputs so it is not a function
Answer:
false
Step-by-step explanation:
f(x) is not a function because an input can I have more than one output.
Estimate 3 3/8 X 10 13/15
Answer:
36.70
Hope this helps!
Answer:
The estimation of this equation is the number 33
Step-by-step explanation:
First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.
Are my answers correct?
Answer:
Step-by-step explanation:
1. it is an equilateral triangle.
let base=2x
let h be the height from centre.
h/8=sin 30=1/2
h=1/2×8=4
so total height=8+4=12
again x/8=cos 60
x=(√3/2)×8=4√3
Base=2x=2×4√3=8√3
area of triangle=1/2×8√3×12=48√3 sq. units.
2.
one diagonal=3+8=11
second diagonal=5+5=10
area=1/2 d1d2=1/2×11×10=55 sq units
Four friends hosted a Graduation party: Genesis spent $21 for drinks, Mya spent $25 for food, Alina spent $16 for invitations, and Mylana spent $18 for decorations. The friends want to share the party expenses equally, and Alina will pay the entire amount she owes to one person. Who owes money to whom?
Answer:
Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.
Step-by-step explanation:
As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:
$21+$25+$16+$18= $80/4= $20
As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.
Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.
Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.
Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7
Answer: the answer is c. 3
Step-by-step explanation:
Subtract 4x from 7x
3x-2=7
Then add 2 to 7
3x=9
Then divide 3 by 3x and 9 by 3
X=3
c. The value of x is 3
What is line segment ?
A line segment is a part of straight line measured between two points.
A line segment always have a definite length.
What is the value of x ?Given, a line segment contains points A, B, C in order.
Also the point B is the middle point of AC.
Hence, we can say that, AB = BC ......(1)
Here, AB = 7x-2 & BC = 4x+7
Therefore, from (1) we get,
7x-2 = 4x+7
⇒ 7x-4x = 7+2
⇒ 3x = 9
⇒ x = 3
The value of x = 3
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A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5
Answer:
area of the sector =4π/3 cm²
Step-by-step explanation:
To find the area of the sector, we will follow the steps below;
first write the formula for finding area of a sector
area of a sector = Ф/360 × πr²
where r is the radius
from the question given
Ф= 30 and radius = 4 centimeters
we can proceed to insert the values into he formula above
area of a sector = Ф/360 × πr²
=30/360 ×π×4²
=1/12 ×π×16
=16π /12
=8π/6
=4π/3
area of the sector =4π/3 cm²
Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. The table shows her data for 2 weeks. A 2-column table with 11 rows. The first column is labeled x with entries 50, 100, 75, 80, 90, 140, 150, 95, 125, 160, 165. The second column is labeled y with entries 36, 43, 38, 40, 42, 50, 60, 43, 46, 50, 55. A graph shows the horizontal axis numbered 40 to 160 and the vertical axis numbered 10 to 60. A line increases from 0 to 160. According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
Answer:
$26
Step-by-step explanation:
In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:
y = 0.177x + 25.936
where x is the total dollar amount of her customers’ bills and then y is her total daily wages.
This means that even if she serves no customers (x = 0) she will earn $26 ($25.936 rounded to the nearest dollar) for each day of work.
Answer:
$26
Step-by-step explanation:
Looking at the graph when x is 0 y is about a little more that 25 but less than 30. Meaning 26 fits the questions answer.
If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost during practice
Answer: B
Explanation: Baseballs(b) minus 3 which is b-3
URGENT HELLPPP!!!
WILL GIVE BRAINLIEST IF WANTED AND 50 POINTS
The diagram shows a trapezium ABCD.
The co-ordinates of the four vertices are shown.
The coordinates of the trapezium are: Point A 3, 5; Point B 10, 5; Point C 12, 1; Point D is 1, 1.
Work out the area of the trapezium.
Answer:
the area is 36
Step-by-step explanation:
Answer:
[tex]36[/tex] units
Step-by-step explanation:
[tex](a+b)\frac{1}{2} h[/tex]
[tex](7+11)\frac{1}{2} (4)[/tex]
[tex]\frac{18}{2}(4)=36[/tex]
The smallest number by which 192 should be multiplied to make it a perfect cube is
Answer:
[tex]9[/tex]
Step-by-step explanation:
The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Question 9 options:
a)
21, 23, 25
b)
41, 45, 49
c)
21, 41, 61
d)
21, 25, 29
The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
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Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6
Answer:
vertical line through the point (-6,0)
Step-by-step explanation:
Vertical lines have an undefined slope.
someone help please, summer school is annoying
Answer:
6
Step-by-step explanation:
2y/3 + 1/3 = y/2 + 1/6
We want to eliminate the fractions
The least common multiple of 3,2 and 6 is 6
Multiply each side by 6 to get rid of the fractions
6(2y/3 + 1/3) = 6(y/2 + 1/6)
4y +2 = 3y +1
Can someone help me??
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
67.5 degrees
Step-by-step explanation:
Hope that helps
Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
Given: HJ =4x+9, JK=3x+3
and KH=33
Find: x, HJ, and JK
X= BLANK?
HJ=BLANK?
JK=BLANK?
The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.
What is Segment Addition Postulate?
If B is between A and B, then AB +BC = AC
Find the values of x, HJ and JK
Given that, HJ=4x+9
JK=3x+3
KH=33
According to the Segment Addition Postulate, we can say that
HJ+JK=KH
4x+9+3x+3=33
(4x+3x)+(9+3)=33
7x+12=33
7x=33-12=21
x=3HJ=4x+9=4(3)+9
HJ=12+9=21
JK=3x+3=3(3)+3
JK=9+3=12
The value of x=3, length of HJ=21 and JK=12 .
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