Answer:
Number of dimes = 28
Step-by-step explanation:
Given that:
Worth of coins = $6.30 = 6.30 * 100 = 630 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
x = 2y Eqn 1
10x+25y = 630 Eqn 2
Putting x = 2y in Eqn 2
10(2y) + 25y = 630
20y + 25y = 630
45y = 630
Dividing both sides by 45
[tex]\frac{45y}{45}=\frac{630}{45}\\y=14[/tex]
Putting y=14 in Eqn 1
x = 2(14)
x = 28
Hence,
Number of dimes = 28
write the equation of the line given the slope m=4 and passes through the point (-2,5)
Answer:
y=4x+3
Step-by-step explanation:
use point slope form
(y-y₁)=m(x-x₁)
fill in
y-5=4(x-(-2))
solve
y-5=4x+8
y=4x+8-5
y=4x+3
Solve for W:
P = LW
Answer:
W=P/L
Step-by-step explanation:
PLEASE ANSWER ASAP !!
Answer: I think 2 I am not sure
Step-by-step explanation:
Given: Trapezoid EFGH with vertices El-5.3).(-3.3). G(-1.1). and H(-6.1) as shown in the diagram below.
E
F
H
G
Trapezoid EFGH is rotated 180° clockwise about the origin to yield trapezoid E'F'G'H". Which ordered pair gives the coordinates of vertex E'?
(3,5)
(3.-5)
(5.3)
O
Answer: 5, -3
Step by Step Explaination:
One of the longest tape worms ever measured was 3 feet less than seven times the length of the longest round worm ever measured if you leave these two worms and two and they would measure an amazing 69 feet how long with a tapeworm and how long was around worm
Answer:
The tape worm is 60 feet long, while the round worm is 9 feet long.
Step-by-step explanation:
Let L be the length of the tapeworm and L' be the length of the round worm.
Given that the longest tape worms measured was 3 feet less than seven times the length of the longest round worm, we have
L = 7L' - 3 (1)
Also, since if you leave these two worms and they would measure an amazing 69 feet, then L + L' = 69 (2)
Substituting equation (1) into (2), we have
L + L' = 69
7L' - 3 + L' = 69
collecting like terms, we have
8L' = 69 + 3
8L' = 72
L' = 72/8
L' = 9 feet
Substituting L' into (1), we have
L = 7L' - 3
L = 7(9) - 3
L = 63 - 3
L = 60 feet.
So, the tape worm is 60 feet long, while the round worm is 9 feet long.
GCF for each pair number 22,55
Answer:
11 is the GCF for both 22 and 55.
Step-by-step explanation:
I looked it up.
Write the slope-intercept form of the line through the points (4,-5) and (2, -1).
9 years ago, Tarah opened a savings account with her bank. She started with a balance of
$359. She made an investment of 8% each year on the amount she originally put in. Select
true or false for the following statement.
Tarah has a new total amount of $617.48 in her saving account.
(1 Point)
True
False
Answer:
The answer is False, after 9 years there would be $717.64 in the account.
When solving this system of equations using linear combination, what should you do FIRST?
{−x+y=−11
{2x+y=19
A) Solve the first equation for y.
B) Multiply the first equation by -1.
C) Multiply the first equation by -2.
D) Add the two equations together.
Answer:
Multiply the first equation by -1
Step-by-step explanation:
Here, we ware being asked the step to take to solve the simultaneous equation
What is right here is to multiply the first equation by -1
By multiplying the first equation by -1, we will have it that the value of y in that equation becomes negative
It is from here we can now add both equations together to have only real x terms
HELP PLEASEEE IM STRUGGLING
Answer:
33
Step-by-step explanation:
We know that PS and QR are the same size since we are working with parallel sides of a parallelogram. We can write an equation and solve for z.
5z + 3 = 6z - 3
~Subtract 3 to both sides
5z = 6z - 6
~Subtract 6z to both sides
-z = -6
~Divide -1 to both sides
z = 6
Now, find the length of QR with what we found for z.
6z - 3
6(6) - 3
36 - 3
33
Best of Luck!
Triangle ABC is translated and then reflected to map triangle A"B"C" as shown.
C"
с
x
B.
Which of the following postulates or theorems proves the triangles congruent?
AA Postulate
HL Postulate
ASA Theorem
SSA Theorem
Answer:
Step-by-step explanation:
Tin
This is part 1 of 2 for your test today 01/22.
Make sure to complete second part.
15
D Question 1
1 pts
Greg walked to the store and then retumed home. This graph shows the distance Greg was from his house at different times during his walk.
Which statement is true?
Greg walked home from the store at a slower rate than he walked to the store.
Greg was at the store for 20 minutes.
Greg walked home from the store at the same rate he walked to the store,
Greg walked to the store at a slower rate than he walked home from the store,
Answer:
Greg walked home from the store at a slower pace than he walked to the store.
Step-by-step explanation:
We can see that he walked 15 minutes to, and 20 minutes from. :)
Good luck hun!
I need help with the following
230 + 10x = 200 +20x
I need to solve for X
A guy wire connects the top of a 18 3/4 foot tall tornado siren to the ground where Samson's shadow ends. The distance from the base of the siren pole to where the wire touches the ground is 120 feet. If Samson is 6 1/4 feet tall and his head barely touches the guy wire where he is standing, how long is Samson's shadow?
Answer:
40 feet
Step-by-step explanation:
Required:
Find the length of Samson's shadow
The question can be illustrated with the attached figure where Samson's shadow is represented with x.
To solve for x, we make use of the following equivalent ratios:
[tex]18.75 : 120 = 6.25 : x[/tex]
Convert to fraction
[tex]\frac{18.75}{120} = \frac{6.25}{x}[/tex]
Cross Multiply
[tex]18.75 * x = 120 * 6.25[/tex]
[tex]18.75 * x = 750[/tex]
Make x the subject
[tex]x =\frac{750}{18.75}[/tex]
[tex]x =40[/tex]
Hence, Samson's shadow is 40ft
Which of the following expressions are equivalent to 6 + (-4) - 5
Choose 2 answers:
(Choice A)
-(-6+4)-5
(Choice B)
6-4-(-5)
(Choice C)
6-(4+5)
(Choice D)
6+4-56
(Choice E)
E
-(-6)+(-4)-(-5)
Answer:
B and C
Step-by-step explanation:
All you need to do is find the answer for all of them and see which ones match
Original:
6 + (-4) - 5
6 - 4 - 5
2 - 5
-3
This is the answer for the original expression, now we need to see which one is the correct match....
A. -(-6 + 4 ) - 5
2 negatives being subtracted gives you a positive
6 + 4 - 5
10 - 5
5
Incorrect, so now we know its not A
B. 6 - 4 - ( -5)
Again 2 negatives give you a positive
6 - 4 + (5)
6 - 9
-3
Correct, so now we know its B
C. 6 - (4 + 5)
PEMDAS so do the parenthesis first
6 - 9
-3
Correct, so now we it's C.
D. 6 + 4 - 56
10 - 56
-46
Incorrect, so now we know its not D
E. -(-6) + (-4) - (-5)
Again, 2 negatives equal a positive
6 - 4 + 5
2 + 5
7
Incorrect so now we know its not E
The correct answer is C
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Help pleaseeeee
a) a term
b) a formula
c) an expression
states a rule using variables
Answer:
What is the question?
Step-by-step explanation:
Answer:
b) a formula
Step-by-step explanation:
2x + -3 = -23
pls help me with this
Answer:
[tex]x = - 10[/tex]
Step-by-step explanation:
1. simplify 2x + -3 to 2x - 3.
[tex]2x - 3 = - 23[/tex]
2. Add 3 to both sides.
[tex]2x = - 23 + 3[/tex]
3. simplify -23 + 3 to -20.
[tex]2x = - 20[/tex]
4. Divide both sides by 2.
[tex]x = - \frac{20}{2} [/tex]
5. Simplify 20/2 to 10.
[tex]x = - 10[/tex]
Therefor the answer is, x = -10
write your answer as a mixed number in simplest form
Answer:
2 5/12
Step-by-step explanation:
You put it so that the denominators are the same so in this case I used 12 as the denominator and used the rule for each. Next I subtracted 3 9/12 minus 1 4/12 and got 2 5/12
dum math... um Chile anyways so please help me
Answer:
23
Step-by-step explanation:
as x goes up by 1
y goes up by 3
therefore each time x increases y increases
x = 4 y = 17
x = 5 y = 20
x = 6 y = 23
Answer:
It would cost 23 dollars to go on 6 rides
Step-by-step explanation:
The rate of change is +3 so you need to add 3 every time.
Solve the radical equation [tex]\sqrt{2-x} = x-2[/tex]
Answer:
x = 1 or 2
Step-by-step explanation:
[tex] \sqrt{2 - x} = x - 2[/tex]
Squaring both the sides ,
[tex] = > { (\sqrt{2 - x}) }^{2} = {(x - 2)}^{2} [/tex]
[tex] = >2 - x = {x}^{2} - 4x + 4[/tex]
Adding like terms ,
[tex] = > {x}^{2} - 4x + x + 4 - 2 = 0[/tex]
[tex] = > {x}^{2} - 3x + 2 = 0[/tex]
Factorising the eqn. ,
[tex] = > {x}^{2} - x - 2x + 2 = 0[/tex]
[tex] = > x(x - 1) - 2(x - 1) = 0[/tex]
[tex] = > (x - 1)(x - 2) = 0[/tex]
Here x will have 2 values .
1) [tex]x - 1 = 0[/tex]
[tex] = > x = 1[/tex]
2) [tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
Can you please help me answer this picture
Answer:
x = 3
Step-by-step explanation:
y = x - 1
2x + y = 8
2x + x - 1 = 8
3x - 1 = 8
+ 1 + 1
3x = 9
3x / 3 = 9 / 3
x = 3
Given that
2
x
−
7
y
=
30
Find
y
when
x
=
−
3
Give your answer as an improper fraction in its simplest form
Answer:
[tex]-\frac{5}{7}[/tex]
Step-by-step explanation:
if we evaute the expression it will look like:
-6×7y=30
if we solve it :
(1) Simplify −6×7y to -42y
-42y=30
(2) Divide both sides by -42
y=[tex]-\frac{30}{42}[/tex]
(3) Simplify [tex]-\frac{30}{42} \\[/tex]
[tex]-\frac{5}{7}[/tex]
. What is the distance between -30 and 20 on the number line?
*
Answer:
+50
Step-by-step explanation:
I hope it's helped........
Answer:
10
Step-by-step explanation:
can someone help me on the steps for this?
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Multiple RootsTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify
a = 12
b = 5
c = x
Step 2: Solve for x
Substitute in variables [PT]: 12² + 5² = x²Evaluate exponents: 144 + 25 = x²Add: 169 = x²[Equality] Square root both sides: ±13 = xRewrite: x = ±13Since we are dealing with positive numbers, we can disregard the negative root.
∴ x = 13
find the slope of the line hurry!
Answer:
the slope is 3 :)
Step-by-step explanation:
Answer:
the slope is: 3
you find two points where the line crosses directly on a point, (2,2) and (5,3)
and count how many spaces upwards and how spaces to the right. slope is rise/run meaning the spaces upward is the numerator and the spaces right is the run. (if you have to count downward then that's a negative number, and if you have to count left, it's negative) but, this graph has a rise of 3 and a run of 1 or 3/1 or simplified to 3
Step-by-step explanation:
solve for x
x - 8 = sqrt2x+8
Answer:
x=4
Step-by-step explanation:
to get rid of the square root on the right you square both sides so
2x+8=x^2
Then bring
2x+8
to the left so you have 0=(x^2)−2x+8
Now you can do the quadratic formula to find the zeroes
Answer:
x = {14, 4}Step-by-step explanation:
Given equation:
x - 8 = √2x+8Square both sides
(x - 8)² = (√2x+8)²x² - 16x + 64 = 2x + 8x² - 18x + 56 = 0x² - 2*9x + 81 = 25(x - 9)² = 5²x - 9 = ± 5x = 9 ± 5x = 14 or x = 4!PLEASE HELP ME THIS IS 10 POINTS!
Answer:
a i think
Step-by-step explanation:
im not good at math
Answer:
The answer is C. 42 and 62
what is the product of the rational expression 2/x+1 • 5/3x
[tex]\left(\dfrac{2}{x+1}\right)\cdot\left(\dfrac{5}{3x}\right) = \dfrac{10}{3x^2+3x}[/tex]
B is right
Carrie read 2/3 a book in 1/4 an hour. How much can she read in an hour?
Answer:
2 books an hour
Step-by-step explanation:
Answer:
she can read 2 books in an hour.hope help
Step-by-step explanation:
The product of 5 and x is at least 25
Answer: 5n≥25 and if you divide 5 on both sides, n≥5 (I don't know if you are supposed to solve or simply put it in the equation form).
Step-by-step explanation:
