Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answer:
75°
Step-by-step explanation:
Write the equation of the function on the graph.
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Does this table represent a proportional relationship?
A) Yes
B) No
Does the system shown always, sometimes, or never have a solution when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
Answer:
sometimes
Step-by-step explanation:when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
AHHHHHHhh asap plz answer!!
number one because if you do the math it's the o nly one that's different
Answer: 4 : 15
Step-by-step explanation:
The unit ratio of 2 : 8 is 1 : 4
The unit ratio of 5 : 20 is 1 : 4
The unit ratio of 3 : 12 is 1 : 4
However, the unit ratio of 4 : 15 is 4 : 15
Hope this helped!
What is the area of a circle is the radius is 8
Step-by-step explanation: To find the area of the circle,
start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].
Notice that our circle has a radius of 8 units.
So plugging into the formula, we have (π)(8 units)².
Now, (8 units)² is equal to 8 units × 8 units or 64 units².
So we have 64π units² which is an exact answer.
I'm so confused............................................
Answer:
Step-by-step explanation:
a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.
The nature park has a pride of 6 lions and 4 cubs. The adults eat 9 pounds of meat each day and the cubs eat 3 pounds. Simplify 6 × 9 + 4 × 3 to find the amount of meat consumed each day by the lions.
Answer:
66
Step-by-step explanation:
6 × 9 + 4 × 3
We use PEMDAS to determine the order in which the mathematical operations would be carried out.
PEMDAS is an acronym for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
Multiplication comes first so;
6 × 9 + 4 × 3
54 + 12
We can then add both numbers.
54 + 12 = 66
from the adjoining figure, find the value of x
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
Exp
Breana has $2,500 in her bank
account. Every week, she withdraws
$45.50 for expenses. She makes
one deposit of $50.00. How many
weeks can she withdraw this money
if she wants to maintain a balance of
at least $200?
Answer: $40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.
Step-by-step explanation:
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
6|X– 3|+10=52
X= or x=
Answer:
x = 10, -4
Hope this helped!
Giving brainliest
Math!!
Answer:
B
Step-by-step explanation:
I need help with this question
Answer:
The answer would be YES, it is a dialation
Step-by-step explanation:
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Solve the inequality,
p+ 1 = 2
The solution is
Answer:
p = 1
Step-by-step explanation:
one. 2-1 would equal 1 so p would have to be 1 exactly
if 2/5 of a man's money is 4500. what is the total money
Answer:
Total money= 11250
In attachment
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36
Answer:
a) A = kB
b) 20
c) 9
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3
a) find a formula for A in terms of B
A ∝ B
A = kB
Where k is constant of proportionality
when A = 12, B = 3
12 = 3k
k = 12/3
k = 4
b) find the value of A when B = 5
A = kB
k = 4
A = 4 × 5
A = 20
c) find the value of B when A = 36
k = 4
A = kB
B = A/k
B = 36/4
B = 9
Graph the system of linear inequalities.
y > 2x − 2
y < 2x + 3
Answer:
u should use des mos . com
answer: 2x − 2 < y < 2x + 3
Graph a dashed line, then shade the area below the boundary line since y is less than 2x + 3
.
Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3
Answer:
Step-by-step explanation:
e
A car travels 76 km in 47 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place
Answer:
97km/h to 1dp
Step-by-step explanation:
47mins is 0.783 of an hour
76km/0.783 = 97.0212km/h
What is the area of the figure?
Answer:
252
Step-by-step explanation:
15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
define seperation by evaporation
Answer:
Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.
May it help you
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour
Answer:
Approximately [tex]3410[/tex] steps each hour.
Step-by-step explanation:
Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.
Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.
To find: Number of steps, approximately, she walked each hour.
Solution: We have,
Total number of steps [tex]=20,458[/tex] steps.
Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.
So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.
Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
Learn more about the interquartile range here:
https://brainly.com/question/4135956.
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