Answer:
There are 41 dimes and 26 nickels.
Step-by-step explanation:
From the information given, you know that you have 67 coins which would be:
x+y=67
Also, you now that the value of each coin is:
dimes= $0.10
nickels=$0.05
With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:
0.10x+0.05y=5.40
You will have the following equations:
x+y=67 (1)
0.10x+0.05y=5.40 (2), where:
x are the number of dimes
y are the number of nickels
First, you can solve for x in (1):
x=67-y
Then, you can replace (3) in (2):
0.10(67-y)+0.05y=5.40
6.7-0.10y+0.05y=5.40
1.3=0.05y
y=1.3/0.05
y=26
Now, you can replace the value of y in (3) to find x:
x=67-y
x=67-26
x=41
According to this, the answer is that there are 41 dimes and 26 nickels.
Plz help!! Write the name of each quadrilateral and find the area
Answer:
Step-by-step explanation:
1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 6m X 5.1 m =30.6 metre square
2. Kite: it has two equal pairs of sides adjacent to each other
Area =(BD X CE )/2 = (8 X 12) /2 = 48
3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.
Area = base X height = 5.7 X 8 = 45.6 metres square
4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards
5. Trapezium: it has only one pair of sides parallel.
Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5
6. Kite: it has two equal pairs of sides adjacent to each other
Area =(EG X FH)/2 = (10 X 7) /2 = 35
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
What is the median?
59
65
56
60
55
54
62
66
68
Answer:
The answer is 60
Step-by-step explanation
54
55
56
59
60 The middle number
62
65
66
68
Answer:
60
Step-by-step explanation:
"Median in the middle"
put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.
54, 55, 56, 59, 60, 62, 65, 66, 68
55, 56, 59, 60, 62, 65, 66
56, 59, 60, 62, 65
59, 60, 62
60
a.
Missing x:-2
Missing y:0
c.
Missing x:-2
Missing y:2
b.
Missing x:0
Missing y:1
d.
Missing x:-1
Missing y:1
Answer:
B
Step-by-step explanation:
The pattern is x/-3
80 yd
64 yd
b
What is the length of the missing leg?
=
yards
Answer:
b = 48 yards
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
Leg a = x
Leg b = 64
Hypotenuse c = 80
Step 2: Solve for x
Substitute: x² + 64² = 80²Isolate x term: x² = 80² - 64²Exponents: x² = 6400 - 4096Subtract: x² = 2304Isolate x: x = √2304Evaluate: x = 48Please help me I need to do this very fast
Answer:
B. 7
Step-by-step explanation:
for this, we can use the process of elimination.
A. 4(6) > 24
24 > 24
B. 4(7) > 24
28 > 24
C. 4(4) > 24
16 > 24
D. 4(2) > 24
8 > 24
the answer is B because it is the only choice that is greater than 24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Question 3: Jason
receives $40 from
selling 5 adult tickets
and 8 students tickets.
.write an equation to
represent the situation.
Answer:
$40 = 5a + 8s
Step-by-step explanation:
For this question all we need to know is that $40 is equal to 5 prices of the adult tickets plus the 8 prices of the student tickets. From here we can just give a variable to each price and make an equation, like so
Let "a" be the price of the adult ticket and
Let "s" be the price of the adult ticket, then....
$40 = 5a + 8s
(Just to make sure you understand I will repeat. 5 comes from he fact hat there were 5 adult tickets sold which means that there is 5 adult ticket prices in the $40, and exactly the same reasoning goes for the student tickets, 8 students tickets were sold which means the is 8 prices of the student ticket inside the $40.)
If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
2x+20=3x-10 solve for x
Answer:
x=30
Step-by-step explanation:
Marni recorded the cost of different weights of apples and made a scatter plot of her data!
There are four question on there !!
Given:
The scatter plot and trend line.
To find:
Type of association, slope, equation of trend line and average cost of apple per pound.
Solution:
Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).
Slope of trend line is
[tex]m=\dfrac{24-0}{12-0}[/tex]
[tex]m=\dfrac{24}{12}[/tex]
[tex]m=2[/tex]
Slope of trend line is positive. It means, it represents positive correlation.
So, the type of association of the scatter plot is positive association.
Therefore, the slope of trend line is 2.
The trend line passes through (0,0) have slope 2, so the equation of the trend line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-0=2(x-0)[/tex]
[tex]y=2x[/tex]
Therefore, the equation of trend line is [tex]y=2x[/tex].
Slope of the line is 2.
Therefore, the average cost of apples per pound is $2.
EXIT
A line passes through (-2,5) and has slope ś
1/3. What is an equation of the line in point-slope form?
what is 16/20 to the nearest hundreth
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
16 / 20 = 0.800
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 800
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 16/20 (or 0.800) rounded to the nearest hundredth in decimal format is:
0.80
Next, we will make 16/20 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.80 = 0.80/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.80 x 100) / (1 x 100) = 80/100
That's it. 16/20 rounded to the nearest hundredth is displayed below (simplified if necessary):
4/5
Si sen A = 7/25 donde "A" pertenece al segundo cuadrante y el cos B = -4/5 donde "B" pertenece al segundo cuadrante Calcular cosec(A).cos(B).tan(A).cot(B)
The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre
Answer:Jada will get same shade as Perfect Purple Water
Step-by-step explanation:
STEP 1
To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture
The ideal mixture is given as
8ml blue water and 3 ml red water.
Step 2
Andre mixes 16ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]
Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe
[tex]\frac{16ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]
Jada mixes 24ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]
Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe
[tex]\frac{24ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]
This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water
The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
X
F
W
х у
Which of the following statements are true about this construction? Select all that apply.
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X
The first step of the construction is to draw the perpendicular bisector of WY.
The second step of the construction is to draw the perpendicular bisector of FG.
O The second step of the construction is to draw the perpendicular bisector of WY.
Answer:
1st and 4th
Step-by-step explanation:
dont mind the dots already on the graph I was just trying to guess
Step-by-step explanation:
i wanna know too tho......
What is the greatest perfect square of 864
Answer:
144
Step-by-step explanation:
the factors of 864 are 1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
the underlined are perfect squares
144 is the biggest
Find the unit price of each item, rounding answers to the nearest tenth of a cent. A) 4 lbs for $2.37 b) 15 lbs for $8.57 c) 25 lbs for $13.59 Which bag (4, 15, or 25) is the best deal?
Answer:
A. $0.59
B. $0.57
C. $0.54
The best deal is 25 lbs for $13.59
Step-by-step explanation:
A) 4 lbs for $2.37
Units price (price per lb) = $2.37 / 4
= $0.5925
Approximately $0.59
b) 15 lbs for $8.57
Price per lb = $8.57 / 15
= $0.5713
Approximately $0.57
c) 25 lbs for $13.59
Price per lb = $13.59 / 25
= $0.5436
Approximately $0.54
Which bag (4, 15, or 25) is the best deal?
The best deal is 25 lbs for $13.59
Pleaseeeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
so this uses proportions.
you need to find the side BF which is proportional to the side BF.
You do:
9/6=x/42
and cross multiply
9*42=6*x
378=6x
divide by 6 on both sides
x=63
the answer is 63
Answer:
These are similar triangles.
By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original
Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:
This means that BF/FE = BC/CD=FC/ED
The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48
BE=BF+FE; BE=9+?
if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE
1x9=9, 7x9=63
63=BE
Step-by-step explanation:
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answer:
I don't know the question answer surely but I think that A is the correct one
Find the 15th term: 1/2, 1/4, 0, -1/4,...
Step-by-step explanation:
a(n) = a +(n-1)d
d=1/4 -1/2 =-1/4
°.° a(15) = 1/2 +(15–1) -1/4
a(15) = 1/2 -3.5
=-3
hope it will help
[tex]x^a=y^b=z^c \\xyz=1\\ab+bc+ca=?[/tex]
Answer:
ab+bc+ca=0
Step-by-step explanation:
We are given:
[tex]x^a=y^b=z^c[/tex]
xyz=1
Separating equations:
[tex]x^a=z^c[/tex]
[tex]y^b=z^c[/tex]
Solving the first equation for x:
[tex]\displaystyle x=z^\frac{c}{a}[/tex]
Solving the second equation for y:
[tex]\displaystyle y=z^\frac{c}{b}[/tex]
Substituting in
xyz=1:
[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]
Adding the exponents:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]
Since [tex]1=z^0[/tex]:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]
The base is z on both sides so we get rid of them:
[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]
Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend
Answer:
866.29Step-by-step explanation:
Deposit = 800Interest rate = 4% compounded quarterlyTime = 2 yearsNumber of compounds:
2 / 1/4 = 8Saving amount at the end of 2 years:
800*(1 + 0.04/4)^8 = 866.29how do you know this pile of laundry is a mmixture
plz help
Answer:
The clothing items in it like pant shirts etc. or if it's just a load of shirts.
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE
Answer:
a) 40.
Step-by-step explanation:
a triangle is 180 total
If I saved $15.00 off a coat that originally cost $25.00, what percent did I save?
Answer: 60%
Step-by-step explanation:
if the coat is 25 dollars, 10% of the coat is 2.50
15 dollars /2.5=6
you saved 60 percent
In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1
Answer:
A and B
Step-by-step explanation:
Given
List of given options
Required
Which will correctly take 3 to fill the blank
Represent the blanks with x
Option A:
[tex]x : 4 = 12 : 16[/tex]
Convert to fractions
[tex]\frac{x}{4} = \frac{12}{16}[/tex]
Multiply through by 4
[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]
[tex]x = \frac{48}{16}[/tex]
[tex]x = 3[/tex]
Option B:
[tex]1 : 5= x : 15[/tex]
Convert to fraction;
[tex]\frac{1}{5} = \frac{x}{15}[/tex]
Multiply through by 15
[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]
[tex]15 * \frac{1}{5} = x[/tex]
[tex]3 = x[/tex]
[tex]x = 3[/tex]
Option C:
[tex]x : 1 = 12 : 3[/tex]
Convert to fraction
[tex]\frac{x}{1} = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Option D
[tex]15:x = 3:1[/tex]
Convert to fraction
[tex]\frac{15}{x} = \frac{3}{1}[/tex]
Cross Multiply
[tex]3 * x = 15 * 1[/tex]
[tex]3 * x = 15[/tex]
Divide through by 3
[tex]x = 5[/tex]
From the above calculations.
Option A and B can be filled with 3
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.
Answer:
5.38 ounces
Step-by-step explanation:
Given that :
Alice height = 1 mile
Distance of earth to moon = 239000 miles
Number of base 10 cakes required so they Alice's head just touches the moon ;
Using the relation :
Distance = height per ounce * 10^number of ounces
Height per ounce = 1 mile ;
Let number of ounces = n
Hence,
239000 = 1 * 10^n
239000 = 10^n
Take log of both sides
Log(239000) = n
5.3783979 = n
5.3784 = n
Hence, Alice should take 5.38 ounces of base 10 cakes
Straight leg jeans are 20% off at Kohls this week. How much will you pay for 4 pairs if the regular price is $59.99?
