Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
Which number is irrational?
Answer:
Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.
Which is equivalent to 16^3/4
Answer:
1024
Step-by-step explanation:
You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?
Answer:
$55
Step-by-step explanation:
Let w = the no. of weeks
35 + 2.50w = amount you will have in the account after w weeks
115 - 7.5w = amount cousin will have in the account after w weeks
You need to set these expressions equal to each other.
35 + 2.50w = 115 - 7.5w Multiply thru the equation
by 10 to remove the fractions
350 + 25w = 1150 - 75w
100w = 800
w = 8 weeks
35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55
115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55
an isosceles triangle has at least__congruent sides
Answer:
two
Step-by-step explanation:
an isosceles triangle has at least two congruent sides
Find tan(B) in the triangle
Answer:
Answer is B
Step-by-step explanation:
SohCahToa
[tex]tan = \frac{o}{a} [/tex]
Hypotenuse : Opposite the right angle. : 13
Opposite : Opposite the B angle : 5
Adjacent : The only side left : 12
we need opposite and adjacent, hypotenuse is irrelevant in this question.
Substitute the numbers
[tex]tan( \frac{5}{12} )[/tex]
please please please please help me
Sim porque positivo não fecha
can someone help me solve this?
Answer:
Try B
Step-by-step explanation:
That's what I would choose. Sorry if it's wrong.
Fill in the blank
When you multiply exponents with the same base, you _______ the base, and ________ the exponents
Answer:
multiply the base and add the exponents
SOMEONE PLS HELP!!! ITS DUE !!!
Answer:
d we cannot compare it volume to bh cubic inches
Use the translation (x, y) = (x + 5, y - 9) for questions a-e.
a. What is the image of A (-6, 3)?
b. What is the image of (4,8)?
c. What is the image of (5.-3)?
d. What is the image of A from #1, which would be called A"?
e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)
Help please!!
Answer: it’s a I have the same question but I have to solve and they already gave me the answer
Step-by-step explanation:
Can someone please help me answer this??
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
x
For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.
Option b. 0.496
Step-by-step explanation:we know that
f(x)=0.01(2^{x})
The average rate of change is equal to
\frac{f(b)-f(a)}{b-a}
where
a=3
b=8
f(a)=f(3)=0.01(2^{3})=0.08
f(b)=f(8)=0.01(2^{8})=2.56
Substitute
\frac{2.56-0.08}{8-3}
\frac{2.48}{5}
0.496
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answer:
The length has increased by a factor of 4/3 or 1 1/3
Step-by-step explanation:
To find the initial length.: root 36.
Root 36 = 6
Then to find the increased version, first find the area: 36 + 28 = 64
Now, the length.
Root 64 = 8
To find the factor it increased by:
6x = 8
x = 8/6 = 4/3
The length has increased by a factor of 4/3 or 1 1/3
Can someone help me on this
Answer:
P = 44
Step-by-step explanation:
perimeter of a square = 4a
where a = side lenght
equation:
⇒ 4a
solve by substituting 11 for a
⇒ 4a
⇒ 4 x 11
⇒44
The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
The interest rate is 29.43%
How to determine the interest rate?The given parameters are:
Amount, A = $470
Principal, P = $5425
The formula of rate is given as:
r= √A/P- 1
Substitute known values
r= √470/5425- 1
Evaluate the difference
r= √470/5424
Evaluate the quotient
r= √0.08665
Evaluate the exponent
r= 0.2943
Express as percentage
r = 29.43%
Hence, the interest rate is 29.43%
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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
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9(w + 6) simplified. please help!
Answer:
9w+54
Step-by-step explanation:
9(w + 6
distribute
9w+54
what ratio is equivalent to 9/8
Answer:
3:4
Step-by-step explanation:
divide into simplest form would be 3:4
Answer:
:)
Step-by-step explanation:
9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88
answer to 9+5u+6u+1 ??
Answer:
.10 + 11u or 11u + 10
Step-by-step explanation:
combine like terms:
. 5u + 6u = 11u
. 9 + 1 = 10
Answer:
10+11u
Step-by-step explanation:
9+5u+6u+1
1. add the numbers that are the same. 9+1= 10
2.do the same thing to the other number(s) 5u+6u= 11u
3. add both you're answers together 10+11u
A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.
Answer:
should be either b or c
Step-by-step explanation:
Answer:
Mean: 4.6666666
Mode: 5.5
Range: 6
75%
Step-by-step explanation:
a jewellery shop is having a sale
a bracelet is now reduced to 420 pounds
this is 70% of the original price
A) workout the original price of the bracelet
a ring is now reduced to 840 pounds
this is a saving of 40% of the original price
b) workout the original price of the ring
Answer:
a) £600
b) £1400
Step-by-step explanation:
a)
original price = x
reduced price = £420
reduced price is 70% of original price
Since the discounted price, £420, is 70% of the original price, x, then
70% of x = 420
0.7x = 420
x = 420/0.7
x = 600
Answer: £600
b)
original price = x
discounted price = £840
discount percentage = 40%
The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.
60% of x = 840
0.6x = 840
x = 840/0.6
x = 1400
Answer: £1400
a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Answer: 54 square feet
Step-by-step explanation:
To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length
Since we know length and width is x=12 just substitute so
15+15+12+12=54 so 54 is the perimeter
How many right angles need to be put together to make:
a.) 360 degrees?
b.) 180 degrees?
C.) 270 degrees?
d.) A straight angle?
Answer:
A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.
Answer:
A. 4
B. 2
C. 3
D. 2
Step-by-step explanation:
Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..
Remember like this:
90 x 1 =90
90 x 2 =180
90 x 3 = 270
90 x 4 = 360
help pls! ill mark best answer brainliest
Three girls (Zeva, Abby and Jenny) went to a hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hairstyle and the color?
Answer:
You need to make the question again and include the chart.
Step-by-step explanation:
Please give me the correct answer.Only answer if you're good at math.
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
Who understands how to do this mess?
Answer: 140
Step-by-step explanation:
Angle 4 and A are supplementary meaning they add to 180
Thus you can do 180-40 = 140 to get that angle A = 140.
Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?
Select the two
pairs of figures that are similar.
Answer:
the first 2 pairs are equal in shape and proportion.