herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she has of each kind.
Answer:
Herlene has 8 dimes and 17 quarters
Step-by-step explanation:
System of Equations
Let's call:
x = number of dimes Herlene has
y = number of quarters Herlene has
Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.
We know this amount is $5.05, thus:
0.10x + 0.25y = 5.05 [1]
It's also given the number of quarters is one more than twice the number of dimes, i.e.:
y = 2x + 1 [2]
Substituting in [1]:
0.10x + 0.25(2x + 1) = 5.05
Operating:
0.10x + 0.5x + 0.25 = 5.05
0.6x = 5.05 - 0.25
0.6x = 4.8
x = 8
From [2]:
y = 2*8 + 1 = 17
y = 17
Herlene has 8 dimes and 17 quarters
4(x - 6y)=..................
plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
Find the area of the following triangle:
Answer:
347.7 units²
Step-by-step explanation:
Area of the triangle = ½*AC*BC*Sin(C)
AC = 24
BC = 30
C = 75°
Plug in the values
Area = ½*24*30*sin(75)
= 347.7 units² (nearest tenth)
Help please.
state the scale factor.
Answer:
6
Step-by-step explanation:
48/8 is 6 so it is 6
2x + 3y = 2
y = {x+3
The solution of the system is (-2,2)
Step-by-step explanation:
a solution is a system of equations intersecting.
on the graph you can see that the lines intersect at (-2,2)
HELP ME PLZZZ ASAP!!!!
Answer:
544
Step-by-step explanation:
10×14 =140 × 2 surfaces = 280
12 x 14 =168
1/2 b × h
6x8 = 48 x 2 surfaces areas = 96
Combine
please help asap no trolls!!
Answer:
def?
Step-by-step explanation:
Answer:
D, E, F
Step-by-step explanation:
I have ixl too!
Hope this helps.
whats the value of v 69 = 7v – 6
Answer:
75/7
Step-by-step explanation:
69=7v-6 rewrite as 69+6=7v
75 = 7v
75/7 = v
3 1/8 divided by 1 2/3
Answer:
15/8 and mixed number is 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation
PLEASE HELP!! Will mark brainliest, find the measure of
Answer:
[tex]m\angle BYP=42^\circ[/tex]
Step-by-step explanation:
Lines and angles
The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.
[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]
We are given the acute angles as a function of m. thus:
5m + 98 + 2m + 48 = 90
Simplifying:
5m + 146 = 90
5m = -56
m = -56/5 = -11.2
m = -11.2°
To find the measure of angle BYP, substitute m in
5m + 98 = 5*(-11.2) + 98 = 42°
[tex]m\angle BYP=42^\circ[/tex]
In ABCD, m B = (5x + 14), m/C = (2+19)", and mZD = (2x + 19).
What is the value of x?
Answer:
x=38
Step-by-step explanation:
Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.
Compute the total amount that Angela makes in one week.
$
Number
Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8
Answer:
x < 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x + 25 < 33
Step 2: Solve for x
Subtract 25 on both sides: x < 8Here we see that any value x smaller than 8 would work as a solution to the inequality.
Given that ABC~LMN
What is the length of AC?
Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
[tex] \frac{AB}{LM} = \frac{AC}{LN} [/tex]
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
[tex] \frac{5}{10} = \frac{x + 5}{3x + 3} [/tex]
Cross multiply
[tex] 5(3x + 3) = 10(x + 5) [/tex]
[tex] 15x + 15 = 10x + 50 [/tex] (distributive property)
Collect like terms
[tex] 15x - 10x = -15 + 50 [/tex]
[tex] 5x = 35 [/tex]
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
Apply the distributive property using the greatest common factor to write an equivalent expression
Joe drove 12 miles in the morning and 16 miles
in the afternoon. How many miles total did he drive?
Answer:28
Step-by-step explanation:
Morning=12 miles
Afternoon=16
12+16=28
The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.
Answer:36
Step-by-step explanation:
You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)
please help ASAP pleassssseeeee
Answer:
4 miles.
Step-by-step explanation:
We know that Molly travels 20 miles in 5 hours, so we can divide by 5 to find out how many miles she travels in 1.
20/5 = 4/1
Therefore, Molly travels 4 miles per hour.
Answer: 4 miles in one hour
Step-by-step explanation:
If molly goes 20 miles in 5 hours divide 20 miles by 5 hours and you get 4 miles in 1 hour
Need help on 5, 7 and 8 very urgent plz help will give brainlist if you actually help this is 20% of my grade!!!!
Answer:
5.)26v+5
7.)32b x 7
8.)a
Step-by-step explanation:
i think these are all right but that's how you do it in algebra so if you aren't in algebra i'm sorry I tried.
Jordan found cloth for $7.50 per yard. How much would his total cost be if he needed 12 yards of cloth?
mrs.jacobs made 40 ounces of lemonade. if she pores equal amounts into 6 separate glasses, how many ounces are in each glass
Answer:
6.67 ounces
Step-by-step explanation:
40/6=6.6666667
Answer:
6,666 i think
Step-by-step explanation:
40:6=6,666
To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?
Answer:
The answer is below
Step-by-step explanation:
a) The baseball player leaps into the air with an initial velocity of 14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.
The height (y) is given by the formula:
y(t) = ut - (1/2)gt² + initial heigth
u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:
y(t) = 14t - (1/2) * 32 *t² + 0
y(t) = 14t - 16t²
b) when the player is on the ground, the height = 0. hence:
0 = 14t - 16t²
16t² - 14t = 0
t(16t - 14) = 0
t = 0 or 16t - 14 = 0
t = 0 or 16t = 14
t =0 or t = 0.875
Hence t = 0.875 seconds
c) The domain is the set of possible values for the time. Hence:
Domain = (0, 0.875] = 0 < t ≤ 0.875
which equation with exponential are true?
3^3 + 3•3
5^2 = 5•5
5^4 = 4•4•4•4•4
7•7•7•7•7•7 = 6^7
7•7•7•7•7•7 = 7^6
7•7•7•7•7•7 = 7^7
Answer:
5^4 = 4•4•4•4•4
step-by-step explanation:
An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey is diving at 45 mph, at what rate is its altitude changing (rounded to the nearest foot per second)?
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
STONE COAST ACADEMY
22) A broker bought stock at $21.45 per share and sold it the following month for $26.40 per share. What was his gross profit (before
commissions and taxes) on 120 shares sold?
A. $610
B. $580
C. $594
D $601
hurry plz in exam
If the radius is 52 inches, what is the diameter?
Answer:
52×2 = 104 inch as per the question
Answer:
104 inches
Step-by-step explanation:
52x2=104
In order to find the diameter using radius, just multiply the radius by two. In order to find the radius using diameter, divide by two.
Mark this brainliest if it helped you out. :D
seroiosly help please
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Consider two lines. Line A is given by the function f(x) = 4x - 9, while Line B contains the points (0,5) and (2.12).
Which statement is true?
A) Line A and Line B have the same slope.
B) Line A has a greater slope than Line B C)Line B has a greater slope than Line A.
D) Line A slope is less than the slope of Line B.
Answer:
line D
Step-by-step explanation:
ooo
Answer: B
Step-by-step explanation:
5.The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A)interquartile range
B)mean
C)median
D)range