Answer:
[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\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.
Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:
[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].
Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:
[tex]73+n=108, \\n=\fbox{$35$}[/tex]
There are 73 dimes and 35 nickels.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,
dime = 10
A nickel = 5
We can write the following system of equations;
10D + 5N = 905
N + D = 108 coins
where D is the number of dimes she has and N is the number of nickels she has.
Multiply the second equation by -5 and add both equations to solve for :
10D + 5N = 905
-5N -5 D = -540 coins
Use the Distributive Property:
Add the like terms:
5D = 365
Divide both sides by 5
D = 73
Plug D into any equation to solve for N
Nickels = 108 - 73 = 35
There are 73 dimes and 35 nickels.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Solve the inequality 2(n + 3) - 4<6. Then graph
the solution
I think it's -40 but don't put that answer k might be wrong
lets try this again can someone help
Answer:
Step-by-step explanation:
First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]
29 divided by 6 gbhikgiogfofdldslwkjrtjbjgjfr
Answer:
4.83333333333
Step-by-step explanation:
oh boy, that wasnt very fun to type. you get the idea. its a lot of threes.
The circumference of a circle is 64. What is the radius of the circle?
Rewrite the function y = 2(x – 4)^2 – 5 in standard form.
Answer:
y=2x2−16x+27
Step-by-step explanation:
HURRY PLZ!!!!!!BY 10:30
One inch is around 2 11/20 centimeters.What fraction of an inch is 1 centimeter?
A) 13/20
B) 17/20
C) 20/51
D) 20/11
Plz get this right!! for some reason it is worth 25 points on this test!! And it is a MIDTERM
Answer: C
Step-by-step explanation: Trust me on this ok?
can someone help pleaseee its due soon
Answer:
10
Step-by-step explanation:
hey, i wanna ask you an interesting question if you know the answer give it in comments okay !!
the question is :
what is the HCF / GCD
of 0 (zero) and 5
let me know the answer ..
Answer:
it will 5 because 0 has all factor other than 0 and 5 has two factor 1 and 5 So hcf of 0 and 5 will 5
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Pls help i need this question by 8:00am tomorrow
What is the slope of the line with equation y=5x+7 ?
Answer:
the slope is 5
explanation:
goes up 5 and right 1
I need help please
4d + 8
Answer:
4 ( + 2 )
Step-by-step explanation:
Answer:
i am going to assume 4d+8=0 so 4d=-8 and d=-2
Step-by-step explanation:
In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
1. Use the Pythagorean Theorem to find x.
19
16
What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13
A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2
Answer:
C
Step-by-step explanation:
Given the 2 equations
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 10x - 4y = - 58 → (3)
Add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
Solution is x = 5, y = 2 → C
Answer:
c) x = 5, y = 2
Step-by-step explanation:
Help me with this question please
Answer:
Part A: 14
Part B: 10
Step-by-step explanation:
Since the ratio to each paint is the same...
(red/yellow) 2/5=x/35
Cross Multipy
5x=70
x=70/5
x=14
Repeat the same thing but replace 35 with 25 for Part B
2/5=x/25
Cross Multiply
5x=50
x=10
Is this correct for number 5 if not please help
Answer:
Yes it is! good job
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
pleassssssssssss i need help
i need two more , i got 1
Answer:
X=12,-4
Step-by-step explanation:
Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4
17.URGENT
Can someone please help me?
Answer:
Answer choice D
Step-by-step explanation:
So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:
3V=4[tex]\pi[/tex][tex]r^{3}[/tex]
Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:
[tex]\frac{3V}{4\pi } = r^{3}[/tex]
Then cube both sides:
[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]
Answer choice D
I really need answer or I’mma flunk uh oh
Answer:
0u
7u
6u
2u
Step-by-step explanation:
All of these question are just a matter of adding like terms
For the first one we have
7u+(-u)+(-6u)
which is equal to
7u-u-6u
Which I'm sure you can see is equal to 0 or 0u
10/2u+2u
10/2u=5u
5u+2u=7u
6u+0u
0u=0
6u
6u+(-4u)
6u-4u
2u
Answer:
easy pz hot eggs are cheesy, 1 is 0u number 2 is 7u number 3 is 6u and number 4 is 2u
Step-by-step explanation:
thank me
please help with this question (the attached image)
Answer:
it is c
i had this test pls marek me brainlyesest
Answer:
Your awnser is C.
Step-by-step explanation:
.
Please help. I need a smart person to help :)
Answer:
quadrant 2!
Step-by-step explanation:
Question 3
1
Marcus wants to move triangle PQR in such a way that vertex P moved from the point (-2,5)
to P' (3, -3). Which of the following algebraic representations matches this translation?
A. (x,y) → +5,y + 8)
B. (x,y) → (x - 5,y - 8)
C. (x,y) → (x - 5, y + 8)
D. (x,y) → (x +5,y - 8)
Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made
Answer:
1 1/2
Step-by-step explanation:
set up a proportion:
8 = 12
1 x
cross-multiply: 8x = 12
x = 12/8
x = 3/2 (simplified)
Rewrite 4% as a decimal.
Answer:
0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
simple math the 4 is in the ones place
Salvador sold hats during the weekend sporting event. On Saturday, Salvador sold ( * of the total number of hats. On Sunday, he sold & ( of the total number of hats. What fraction of the total number of hats was left over?
Answer:
5/28
Step-by-step explanation:
Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 4/7 of the total number of hats. On Sunday, he sold 1/4 of the total number of hats. What fraction of the total number of hats was left over
Total number of hats = x
Hats sold on Saturday = 4/7x
Hats sold on Sunday = 1/4x
Hats left over = x - (4/7x + 1/4x)
= x - ( 16x+7x/28)
= x - 23/28x
= 28x - 23x/28
= 5/28x
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
HELP PLEASE I WILL MARK BRAINLIEST
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
To learn more about the multiplication of polynomials visit:
https://brainly.com/question/17419800.
#SPJ2