Answer:
50 pennies, 10 dimes
Step-by-step explanation:
0.01p+0.01d=1.50
p=5d
(0.01)5d+0.10d-1.50
0.05d+0.10d-1.50
0.15d=1.50
d=1.50/0.15
d=10
p=5d
=5x10
p=50
Answer= 50 pennies, 10 dimes
An equation is formed of two equal expressions. Amber has 50 pennies and 10 dimes.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of pennies be represented by x, while the number of dimes is represented by y. Therefore, the statement "there are five times as many pennies as dimes" can be written as,
x = 5y
Now, since the sum of all the coins is $1.50, therefore, the sum can be written as,
0.01x + 0.1y = 1.50
0.01(5y) + 0.1y = 1.50
0.05y + 0.1y = 1.50
0.15y = 1.50
y = 10
Now, the value of x will be,
x = 5y
x = 5(10)
x = 50
Hence, Amber has 50 pennies and 10 dimes.
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Use a calculator . Round to the nearest tenth of a degree given cos 0=0.8458
0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347
The table represents the equation y = 2 - 4x.
C OF
y
Use the drop-down menus to complete the statements.
The X-values are the
The y-values are the
The missing value in the table for x = -1 is y = v
-2
10
-1
o
2
1
-2
2
-6
Intro
Done
Eivity
Answer:
Step-by-step explanation:
Huh?.?.?
Brainliest if you show all work!!!
Thanks! :)
what is -37x85
what is 28x-43
what is -53x-98
Answer:
1. -3145
Step-by-step explanation:
I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?
Answer:
-37x85= -3145
28x-43=-1204
-53x-98=5194
those are ur answers
Step-by-step explanation:
Helppp me Please!!!!! :)
Answer:
[tex]x = 30 \\ y = 10[/tex]
Step-by-step explanation:
[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]
A Distributive Property and GCF
56+42
Answer:
98
Step-by-step explanation:
you at 56 in to 42
Answer:
98
pa brainless
Step-by-step explanation:
please brainless
Please help with this question
Answer:
The question or equation is not clear.....
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score
of a man 72.4 inches tall. (to 2 decimal places)
Work Shown:
z = (x - mu)/sigma
z = (72.4 - 69.0)/(2.8)
z = (3.4)/(2.8)
z = 1.2142857 .... which is approximate
z = 1.21
Z-score of a man who is 72.4 inches tall is 0.45.
Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.
A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:
= ( - ) /
Where:
- is the value we want to find the z-score for (72.4 inches in this case).
- is the mean of the dataset (69.0 inches).
- is the standard deviation of the dataset (2.8 inches).
Plugging in the values:
= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446
Rounded to two decimal places, the z-score is approximately 0.45.
This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.
In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.
This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.
Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.
In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.
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please quick answer i’ll mark brainliest
Answer:
1.363
Step-by-step explanation:
Area of the sector is x/360 * pi * r^2
A = 40/360 * pi * 7*7
= 1/9 * 22/7 * 49
= 1/9 * 22 * 7
= 17.111111
Area of the triangle OMN = 1/2 ab sin C
so here A = 1/2 * 7 * 7 * sin 40
= 49/2 * sin 40
= 15.748296437320213494904763542728
so, Area of shaded segment is
= Area of sector - area of triangle
= 17.1111111 - 15.748296437320213494904763542728
= 1.363
what is the answer to X/3 - 4 = 3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x in given expression is ~
[tex] \boxed{21}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \dfrac{x}{3} - 4 = 3[/tex][tex] \dfrac{x}{3} = 3 + 4[/tex][tex] \dfrac{x}{3} = 7[/tex][tex]x = 7 \times 3[/tex][tex]x = 21[/tex]When Julius crossed the Rubicon, he had with him 3 times as many soldiers as he
needed to conquer Rome. If he had 26,000 soldiers with him, how many were needed
to conquer Rome?
86,000 :)
hope it helped!
Consider an economy made up of 100 people, 50 of whom hold jobs, 10 of whom are
looking for work, and 15 of whom are retired. The unemployment rate is approximately:
17 percent
10 percent
25 percent
20 percent
12 percent
Answer:
20 por cento de cada um , que colocar
The unemployment rate is approximately 17 per cent. The correct option is A.
To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).
Given:
Total population = 100
Employed individuals = 50
Individuals looking for work (unemployed) = 10
Total labour force = Employed + Unemployed
Total labor force = 50 + 10 = 60
Unemployment rate = (Unemployed / Total labour force) x 100
Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent
Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.
Therefore, the correct answer is option A.
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Given x + 3y = k and x-k= y, which of the following is equal to
x?
k-3yStep-by-step explanation:
For the given equations, x + 3y = k and x-k= y, the value of x is equal to k.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
x + 3y = k (1)
and x-k= y, (2)
From equation (2) substitute the value of y in equation (1)
x+3(x-k)=k
⇒4x-3k=k
⇒x=k
So the value of x is equal to k.
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Help a Brother Out On The evalute expressions
Answer:
4. - 11
5. 3
6. 14
7. - 60
that it is
evaluate x-2y when x =0.75 and y =0.96
Step-by-step explanation:
x = 0,75
y = 0,96
= x - 2y
= 0,75 - 2.0,96
= 0,75 - 1,96
= -1,21
COS(α+β); SINα=- 1/3, α IN QUADRANT IV, TANβ=7/3, β IN QUADRANT III
PLEASE, I HAVE BEEN TRYING TO FIND THE ANSWER FOR 3 HOURS, AND I HAVE SPENT LIKE 1000 POINTS
Recall the angle sum identity for cosine,
cos(α + β) = cos(α) cos(β) - sin(α) sin(β)
Then given sin(α) = -1/3, we have
cos(α + β) = cos(α) cos(β) + 1/3 sin(β)
α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get
sin²(α) + cos²(α) = 1
⇒ cos(α) = √(1 - sin²(α)) = 2√2/3
β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get
sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)
⇒ tan²(β) + 1 = 1/cos²(β)
⇒ 1/cos(β) = -√(tan²(β) + 1) = -√58/3
⇒ cos(β) = -3/√58
Also recall that by definition,
tan(β) = sin(β)/cos(β)
⇒ sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58
Putting everything together, we find that
cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)
or more clearly,
[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]
Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Answer:
Hundreds place
Step-by-step explanation:
The quotient is 401. The first digit (4) is in the hundreds place.
7 6/10= ?/? please help
Answer:
7.6
Step-by-step explanation:
Answer:
76/10
Explanation
7 × 10 is 70 + the 6 is 76/10
you can look up fractions on yt
to get a better explication.
solve for x 2x- negative 12
Step-by-step explanation:
6274518802
w541gM
please come
for zóom
HVXpimbOay
for me3t
What is the inverse of the function above?
Pls no stealing points, no links and only answer if you actually know what it is!
Answer:
Switch the x and y values, then graph
Step-by-step explanation:
See attatched
Step-by-step explanation:
The equation of graphed line is y = x - 5 ( slope = 1 and y intercept = -5).
For finding inverse ,
x = y - 5
y = x +5
f-¹(x) = x +5
What is 773 - 28 estimated using compatible numbers?
Answer:
The direct answer is 745
Step-by-step explanation:
773 minus 28
✨745✨
1+4×6
help me please
Answer:
25
Step-by-step explanation:
________
[tex] \: [/tex]
1 + 4 × 6 = ...
= 1 + 24
= 25
Look at the screen shot plzz help now!!!!
can someone answer my questions asap ill give brainliest
what's your question!!!!!!!!!!!
-,-
Answer:
what is your question without the question we can't not provide answers.
Step-by-step explanation:
Scores on a standardized test are normally distributed with a mean of 250 and a standard a deviation of 20. Approximately what percent of students scored between 260 and 280? Round to the nearest percent
Answer:
You can't answer this properly without more data.
The ratio of the length and breadth of a rectangular field is 8: 7. If the breadth of the field is 98 m, find its length.
Answer:
112
Step-by-step explanation:
l : b = 8 : 7
b = 98m
so l / b = 8/7
l / 98 = 8 / 7
l = 98 * 8 / 7
= 112
HELP SOMEONE HEEEEEEEEEEEEEEEEEEEEEELP! which graph is the right one?
Which graph represents an exponential function?
Answer:
The answer is...
Step-by-step explanation:
Which inequality is true when the value of h is -13?
o-h-2<7
Submit Answer
Oh-2> 7
o-h-2<-7
o h2>-7
Answer:
-h - 2 > -7
Step-by-step explanation:
-(-13) - 2 > -7
13 - 2 > -7
11 > -7
Write y=-3x+2 in standard form
Answer:
3x+y=2
Step-by-step explanation:
The equation is in slope intercept form.
y=mx+b
Standard form is given by:
ax+by=c
y=-3x+2
3x+y=2
Algebra A regular pentagon has once I represented by 3X +2 and another side represented by 2X +5. Find the length of the sides of the pentagon
Answer:
3x + 2 = 2x + 5
3x = 2x +3
x = 3
3x + 2 = 18
2x + 5 = 11
Step-by-step explanation:
Answer:
3X +2 = 2X +5
grouping of like one's
3X - 2X = 5 -2
subtract
X = 3
