Answer:
[tex]14[/tex]
Step-by-step explanation:
We can set up the following system of equations:
[tex]\begin{cases}10d+5n=150\\d+n=22\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.
Multiplying the second equation by -5 and adding both equations lets us isolate and solve for [tex]d[/tex]:
[tex]10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8[/tex]
Plugging [tex]d=8[/tex] into any of the two equations will let us solve for [tex]n[/tex]:
[tex]8+n=22,\\n=\fbox{$14$}[/tex].
Therefore, she has 14 nickels.
This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using LaTeX: dd to represent the number of dimes collected and LaTeX: qq to represent the number of quarters, which statement best represents this situation? Group of answer choices LaTeX: 0.25d + 0.1q \geq 143.880.25 d + 0.1 q ≥ 143.88 LaTeX: 0.25q + 0.1d \geq 143.880.25 q + 0.1 d ≥ 143.88 LaTeX: 0.25d + 0.1q > 143.880.25 d + 0.1 q > 143.88 LaTeX: 0.25q + 0.1d > 143.88
Answer:
[tex]0.10d + 0.25q > 143.88[/tex]
Step-by-step explanation:
Let the total dimes collected be d.
[tex]1\ dime = \$0.10[/tex]
[tex]d\ dimes = \$0.10d[/tex]
Let the total quarters collected be q.
[tex]1\ quarter = \$0.25[/tex]
[tex]q\ quarters = \$0.25q[/tex]
[tex]Last\ Year = \$143.88[/tex]
Required
Represent as an inequality
The total collection, this year, can be represented as:
[tex]Total = 0.10d + 0.25q[/tex]
From the question, we understand that:
This year's collections is expected to be greater than last year's
This can be represented as:
[tex]Total > Last\ Year[/tex]
Substitute in the right values:
[tex]0.10d + 0.25q > 143.88[/tex]
i need help with this can you show me some work so i can do it by my self after
Answer:
Step-by-step explanation:
1) √36 = 6
2) ^3 √8 = 2
3) ^3 √64 = 4
I need help with math I’m bad at it
Solve for x. x^2 - 14x + 31 = 0
Answer:
7 + 3 sqrt 2
7 - 3 sqrt 2
Step-by-step explanation:
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
PLEASE CAN SOMEONE HELP ME???
Answer:
-8,4 and 4,-5
Step-by-step explanation:
Find the 7th term of the following arithmetic sequence. a1 = -12, d = 2
Answer:
The 7th term is 0
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because every term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
Where
an = nth term
a1 = first term
d = common difference
n = number of the term
We are given the first term a1=-12 and the common difference d=2. Let's find the 7th term (n=7):
[tex]a_7=-12+(7-1)2[/tex]
[tex]a_7=-12+12=0[/tex]
The 7th term is 0
Transformations. please help !
Answer:
A
Step-by-step explanation:
Here, we want to determine the equation based on the given transformation rules
dilation by a factor of 3 from the y axis
That would firstly be;
y = (3x)^2/3
Translation of 5 units on negative x
y = 3(x-5)^2/3
2 units in the positive y direction
That would be;
y = (3(x-5))^2/3 + 2
option A is correct
50 people were asked for their favourite holiday destination from a choice
of three (Greece, Spain or Egypt).
Greece Spain Egypt Total
27 of the people were female.
9 of the 15 people who chose
Greece were male.
Male
12 females said Spain.
14 people said Egypt.
Female
A
a) Complete the two-way table.
(2)
Total
One of the males is chosen at random.
b) What is the probability that this male said Greece?
(2)
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer
50 points and BRAINLIST
Step-by-step explanation:
The answer is 10 percent
Step-by-step explanation:
10% is the answer of this questions
HELP ASAP PLEASE!!
what is the distance (in units) between points C and D? round your answer to the nearest hundredth.
1) 4.54 units
2) 5.00 units
3) 5.83 units
4) 34.00 units
Answer:
2
Step-by-step explanation:
Can someone help with this to?
Answer:
6 x
Step-by-step explanation:
because 1 times 6 then 2 then 3 and so on
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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the teach writes 10/12 on the bored. Write this fraction in simplest form.
Answer:
the simplest form is 5/6
Step-by-step explanation:
I hope this helps!
Determine the range of the following graph:
Answer:
Range: [-1, 6)
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our line's y-values span from -1 to 6. Since -1 is closed dot, it is inclusive in the range; since 6 is open dot, it is exclusive from the range:
Interval Notation: [-1, 6)
Inequality Notation: -1 ≤ y < 6
a ream (500sheets) of paper is 8cm thick how thick is a pile of 1200sheets
Answer:
19.2cm
Step-by-step explanation:
You can solve with a proportion because all sheets of paper are the same thickness
[tex] \frac{500}{8} = \frac{1200}{x} [/tex]
[tex]x = \frac{1200 \times 8}{500} [/tex]
x = 19.2cm
I really don’t get this math how am i supposed to figure out which side is which?
Answer:
u can use "a squared + b squared = c squared"
in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.
Answer:
26
Step-by-step explanation:
You would use the Pythagorean theorem to solve for the last side.
Pythagorean theorem- a^2+b^2=c^2
a and b =sides
c=hypotenuse
Since you are finding the hypotenuse(c), you don't have to rearrange the formula
plug in a and b.
10^2+24^2=c^2
solve
100+576=c^2
676=c^2
do the square root of 676 to get rid of the c^2
26=c
If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
Help please due now!
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
Select ALL that apply.
Answer:
your picture is not loading for me
Which statement about these triangles is true?
solve 100+0.05p=0.25p
Answer:
p=500
Step-by-step explanation:
The value of p is 500 in the equation 100+0.05p=0.25p.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
The equation,
100+0.05p=0.25p
To solve the equation:
Simplify the equation,
100 = 0.25p - 0.05p
0.20p = 100
p = 100/0.20
p = 500
Therefore, 500 is the value of p.
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Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12
A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42
Answer:
its b because
Step-by-step explanation:
24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer
What formula would you write for this line?
Answer:
i was able to get y = 1.3x - 2
Solve for Y
-6x-2y+8
Step-by-step explanation:
-6x-2y+8
-6x -6x
÷-2 (-2y=-6x+8)
3x=-4
x= 3x
y= -4
y=-4-3x
Bill scored 80, 82, 78, and 100 on his first four math tests. What will Bill have to score on his fifth math test in order to maintain his current average ?
Answer:
85
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
Bill would have to get the same grade as his average of his prior grades. Because those average to 85.
~ Hi ~ wonderful ~ people! ~ Can ~ you ~ please ~ help ~ me ~ on ~ this ~ question? ~
Answer:
49π ft²
Step-by-step explanation:
The area for a circle is A=πr² (Area=pi times radius squared)
and d=2r (diameter = 2 times the radius)
So, if we want to find area using the radius, we can get rearrange the equation d=2r to get r= d/2
r=d/2
r=14/2
r=7 ft
Then we can plug that answer into the area equation.
A=π×7²
7 squared is 49 so
A=49π ft²
Please help me
Solve five ninths plus four sixths
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
11/9
Step-by-step explanation:
5/9 + 4/6 = 11/9
Answer: sixty six fifty fourths
30/54 + 36/54 = 66/54
Step-by-step explanation: Find a common denominator
Here, it looks like we can multiply the 9 × 6 to get 54
Then we divide the original denominator into the common denominator, then multiply the numerator by the quotient to get an equivalent fraction to add.
Starting with the 5/9 54÷9 = 6 The quotient, 6 multiplies by the numerator 5
6 × 5 = 30 That is the new numerator.
30/54 is the equivalent fraction for 5/9
Now 4/6 54÷6 = 9 Multiply this quotient, 9 times the numerator 4
9 × 4 = 36 That is the new numerator
36/54 is the equivalent fraction for 4/6
Add the numerators of the equivalent fractions keep the denominator the same:
30/54 + 36/54 = 66/54
It is possible to simplify this process. 4/6 is equivalent to 2/3 or 6/9
We could add 5/9 + 6/9 to get 11/9
66 and 54 are both divisible by 6, so 66/54 can be simplified to 11/9 or the mixed number 1²/₉