Given:
Chris has a collection of dimes and quarters worth $4.25.
To number of coins = 22
To find:
The number of quarters.
Solution:
Let x be the number of dimes and y be the number of quarters.
Total coins : [tex]x+y=22[/tex] ...(i)
we know that, 1 dime = $0.10 and 1 quarter = $0.25.
Total value : [tex]0.10x+0.25y=4.25[/tex] ...(ii)
Multiply equation (i) by 0.10 and subtract the result form (ii).
[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]
[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]
[tex]0.15y=2.05[/tex]
Divide both sides by 0.15.
[tex]y=\dfrac{2.05}{0.15}[/tex]
[tex]y=13.6667[/tex]
Number of quarter cannot be a decimal value.
[tex]y\approx 17[/tex]
Therefore, the number of quarter is about 17.
I don’t know how to set it up nor do it please help me
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]
∴ x = 3
∴ The value of x is 3
Help ASAP pls What is the y intercept of the linear equation shown on the graph
A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)
Answer:
(0, -50)
Step-by-step explanation:
pick any 2 points such as (100,0) and (120,10)
to get from point (100.0) to point (120,10) you had to rise 10 and run 20
so the slope m =rise 10/run20= 1/2
the equation of the line is (y-y1)=m(x-x1)
(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)
y=( x/2)-50 if you distribute
compare this with the equation
y=mx+b wher m=slope and bb is y-intercept
so the y-intercept is -50
Answer:
b
Step-by-step explanation:
trust
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5
The fractions will let her find the x-coordinate for point C is 2/5
How to calculate the midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as:
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Substitute the given coordinate into the formulas:
[tex]M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)[/tex]
From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5
Learn more on midpoint here: https://brainly.com/question/5566419
The circumference of a circle can be found using the formula C = 2πr.
Which is an equivalent equation solved for r?
Answer:r=C/2π
Step-by-step explanation:
A box contains 14 large marbles and 11 small marbles. Each marble is either green or white. 8 of the large marbles are green, and 5 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green?
Answer: 19/25.
Step-by-step explanation:
Given data:
Large marbles = 14
Small marbles = 11.
8 large marbles = green.
5 of small marbles = white.
Solution:
If 8 of large marbles are green, therefore the remaining 6 are white.
Likewise for the small marbles the remaining 6 are green marbles.
Total number of marbles = 14 + 11
= 25.
P(small or green) = P(small) + P (green) – P (Both)
= 11/25 + 14/25 – 6/11
= 19/25
Answer:
Answer is 0.7536
Step-by-step explanation:
Large Marbles = 14 Small Marbles = 11
Green LM = 8 Green SM = 6
White LM = 6 White SM = 5
QUESTION:
If a marble is randomly selected from the box, what is the probability that it is small or it is green?
Note the use of "or" and not "and".
SOLUTION:
In this case, the two events - small marble & green marble - are NOT mutually exclusive. This means that sometimes they occur together. We can have a marble that is both small and green!
The formula for this probability is hence
P(A or B) = P(A) + P(B) - P(A and B)
Let A = The event that the selected marble is small
B = The event that the selected marble is green
Total number of marbles = 14 + 11 = 25
P(A or B) = 11/25 + (8+6)/25 - [P(A) × P(B)]
P(A or B) = 11/25 + 14/25 - [11/25 × 14/25]
= 0.44 + 0.56 - 0.2464 = 1 - 0.2464 = 0.7536
Solve for X...........
Answer:
x = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
A box on an angle signifies a 90° angleAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 90° + 30° = 180°
Step 2: Solve for x
Combine like terms: x + 120 = 180Subtract 120 on both sides: x = 60°What is an explicit rule for the sequence 9, 14, 19, 24
Answer: an arithmetic sequence
Step-by-step explanation:
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
5 3/9 - 2 8/9 simplified
Answer:
2 4/9
Step-by-step explanation:
Choose a value that breaks this gem into 5 equal pieces.
25%
50%
10%
20%
200
Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filling it. This relationship is described in the following graph:
Answer:
7 but im not sure
Step-by-step explanation:
Answer:
its A and B
Step-by-step explanation:
Do NOT hit none of the above, that's wrong
In the diagram, LaTeX: \Delta ABC\cong\Delta DFE
Δ
A
B
C
≅
Δ
D
F
E
. Find the values of x and y.
Answer:
x = 13
y = 8
Step-by-step explanation:
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot?
A 64 trucks and 80 cars
B 72 trucks and 73 cars
C 84 trucks and 100 cars
D 96 trucks and 110 cars
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!
A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh? A. 1,228 ounces B. 1,328 ounces 1,411 ounces D. 1,584 ounces C. A ir 100% of what numhor?
Which system of equations has no solution
is y=-7/9x+2 proportional or non proportional
I need help with this question?
Answer:
[tex]x[/tex]=5
Step-by-step explanation:
HELP ME FASTTTTTTTTTTTTTTTTTTTT
Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on new necklaces in order
to own a total of 18 necklaces?
Answer:
16 dollars
Step-by-step explanation:
she already owns 2 necklaces
18-2=16
1 necklace =1 dollar
16x1=16
Answer:
16 dollars.
Step-by-step explanation:
She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.
Hope it helps!
(Giving brainliest!!!)
How do you solve 7,124 ÷ 26 using standard algorithm?
Answer:
274
Step-by-step explanation:
The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.
However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)
Use mathematical induction to prove that the statement is true for every positive integer n.
7+49+343+...+7↑n= 7↑n+1-7/6
PLZ HELP ME
Answer:
3x-4v
it is because of me
A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
To learn more about probability here:
https://brainly.com/question/32117953
#SPJ2
Find the slope of the line that passes through (5, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope between (5, 13) and (9, 10) is:
[tex]m=-\frac{3}{4}[/tex]Step-by-step explanation:
Given the points
(5, 13)(9, 10)Finding the slope between (5, 13) and (9, 10)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{10-13}{9-5}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Therefore, the slope between (5, 13) and (9, 10) is:
[tex]m=-\frac{3}{4}[/tex]see the picture above please help me thank you
Answer:
C. 0.5
Step-by-step explanation:
If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.
Answer:
C
Step-by-step explanation:
A - 3.6 is ahead of C, so nope
B - -0.2 is behind A, nope
C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)
D - 2 is closer to 3.5, but point b is closer to 0.
Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5
please help
Which linear regression equation best fits the given points?
(1, 0), (4, 5), (5, 12), (7, 16), (8, 25), (11, 22), (14, 32)
yˆ=25x+1.9
yˆ=−52x−1.9
yˆ=52x−1.5
yˆ=−25x+1.5
Answer:
I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)
Which expression is equivalent to 4 – (-7)
a 7+ 4
b 4 - 7
c-7 - 4
d -4 + 7
Answer:
A. 7 +4
Step-by-step explanation:
4 -( - 7 )
4 + 7
7 + 4
Answer:
a
Step-by-step explanation:
4 + 7 = 11. subtracting a negative number is the same as adding
Construct a truth table for the given statement.
(~q^p)V(q^p)
Complete the truth about table
I think what I have done is wrong please help
Answer:
I'm going by lines
TTFFTTTFTTFTFTFFFFFFTFFFFind the slope of the line through the given points.
(10, 11) and (15, 16)
Solve 162X - 1 = 64
Answer:
x=0.4012
Step-by-step explanation:
162X - 1 = 64
162x = 64 +1
162x= 65
x=65/162
x=0.4012
A. y = |x - 4| - 2
B. y = |x + 4| + 2
C. y = |x - 4| + 2
D. y = |x + 4| - 2