1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
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.
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
5/2=d−2/4 solve the proportion
Answer:
5/2+2/4=d
or d=3
Step-by-step explanation:
its all
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Are these triangles similar?
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answer:
108.16
Step-by-step explanation:
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation:
Find the value of w°
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=
how many feet tall is the building
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
what is 5x – 8x + 2 + 5=
Answer: -3x+7
Step-by-step explanation: Good luck! :D
Answer:
-3x+7
Step-by-step explanation:
(5x-8x)+(2+5) Like terms together
(-3)x+7 Combine within each group
-3x+7 Simplify the signs in the product
-3x+7 Is your answer
Hope that helps :)
hi i’ll give you brainliest if you answer my question.
Given the function f (x)=2^x
determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 5 united down
is it b or d pls help
factor the expression -20x - 15
Answer:
−5(4x+3)
Step-by-step explanation:
ekusysnyeyuejteyjdjgdyjd
Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
the difference of a number t and 9
t-9 or 9-t
John is going to the store. His house is located 3 miles south and 4 miles east from the
store, as shown below. What is the shortest distance from his house to the store? Explain
your reasoning.
1
3 miles
HA
BE
4 miles
Answer:
im so sorry but i need to finish my challenge
Step-by-step explanation:
mark takes a 40 question test for which he receives 2.5 for each correct answer and losses 1 point for each wrong answer. If mark answers all the questions and gets a grade of 65% of the test, what percent of the questions did he answer correctly?
Answer:
he answered 26% correctly
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
How to write the question using the follow sentence#1
Will mark Brainliest
Answer:
7 times 4 = 28
28 + 6 = 34
Step-by-step explanation:
14) Find the slope of the line containing the points (5, 3) and (-7, 2).
A. −52
B. 112
C. -4
D. 12
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
solve each equation. 7(x+4)-6(x+3)=x+5
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
Find the measure of each angle indicated
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11pls help i will give brainliest
Answer:
( -4 , 13 )
Step-by-step explanation:
2 ( -4 ) + ( 13 ) = 5
5 = 5
3 ( 13 ) = 15 - 6 ( -4 )
39 = 39
( -4 , 13 )
Find the inequality represented by the graph
Answer:y<3/4x
Step-by-step explanation:
Its proportional
y intercept is 0 which means nothing
slope is 3/4
so
y<3/4x
BTW dotted lines are < not ≤
Can y'all help meh please!
Answer:
__________________the answer is C _____________
Answer:
C.
Step-by-step explanation:
The y intercept is when x=0
so (0, -7) is the y-intercept
slope is found when you subtract y-y1/x-x1
-10- (-7) / 9-0
-3/9
simplified is -1/3
slope is -1/3 and y intercept is (0, -7)
Need the answer pls!!!!!
Answer: the y-intercept would be -3