Answer:
2.9 cupcakes
Step-by-step explanation:
rate and hit that thanks button
happy halloween
Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale
Answer: Cost of a giant cookies = $1.39
Cost of a cake= $6.95
Cost of a pie= $4.95
Step-by-step explanation:
Let price of a giant cookie = x
Then,
price of a cake = 5x
Price of a pie = 5x-2
Cost of 30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x
= 150x+200x-80+200x [By distributive property a(b+c)=ab+ac]
= 550x-80
Given cost = $684.50
[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]
[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]
Cost of a giant cookies = $1.39
Cost of a cake = 5 x $1.39 = $6.95
Cost of a pie = $6.95 - $2 = $4.95
Find X and Y in the figure
Answer:
x = 15
y = 19
Step-by-step explanation:
(5x-5) = (4x+10) reason[ being corresponding angle]
or, 5x-4x = 10+5
or, x = 15.
Similarly,
(5x-5)+(6y-4) = 180 reason[being supplementary angle]
putting the value of x in the equation, so
or, (5*15 -5)+(6y-4) = 180
or, 75-5+6y-4 = 180
or, 66+6y = 180
or, y = 30-11
or, y = 19.
The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Please hurry it’s urgent Thank you
Answer:
[tex] -0.2 [/tex]
Step-by-step explanation:
Given:
(-3, 3.6);
(5, 2)
Required:
Rate of change
SOLUTION:
Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Let,
[tex] (-3, 3.6) = (x_1, y_1) [/tex]
[tex] (5, 2) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]
[tex] = \frac{-1.6}{8} [/tex]
[tex] = -0.2 [/tex]
The rate of change of y with respect to x for this function is -0.2
Given :
The graph of a linear function is shown on the grid
To find the rate of change of y with respect to x , we need to pick two points from the graph
Two points are (-3,3.6) and (5,2)
Lets apply slope formula to find out rate of change
[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]
The rate of change of y with respect to x for this function is -0.2
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I need help with this geometry question
Answer:
A=82
b=71
c=71
d=54
e=44
f=109
g=73
Solve for u.
8u+ 33 =-7(u-9)
Simplify your answer as much as possible.
u =
8
Х
?
Answer:
u=2
Step-by-step explanation:
8u+ 33 =-7(u-9)
Distribute
8u+ 33 =-7u+63
Add 7u to each side
8u+33+7u = -7u+63+7u
15u+33 = 63
Subtract 33 from each side
15u +33-33 = 63-33
15u = 30
Divide each side by 15
15u/15 = 30/15
u =2
Answer & Step-by-step explanation:
- 22 = -8u + 6(u-7)
-22 = -8u + 6u - 42
8u - 6u = 22 - 42
2u = -20
u = -20/2
u = -10
Does this equation represent a function?
Answer Yes
Answer:
yes
Step-by-step explanation:
ur welcome
brainliest pls
xd
You've w How many solutions does this equation have? 10y = 10y - 2
no solution
one solution
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Subtract 10y from both sides of the equation:
10y -10y = 10y -10y -2
0 = -2 . . . . FALSE
There are no values of y that will make this be true. The given equation has NO SOLUTION.
1/3j =9
A.)27
B.)9
C.)3
D.)4
Round 683,492 to the nearest hundred thousand.
Answer:
700,000
Step-by-step explanation:
you need to look at the ten thousands and look at the number if it is past 5 you round up.
P=$4130,r=?,t=155 days, I=$115.58
Answer:
r = 6.5902%
Step-by-step explanation:
I = Prt
since the time is in days, it needs to be converted to years.
t = 155/365 = 0.424658
115.58 = (4130) r (0.424658)
115.58 = 1753.8045 r
115.58/1753.8054 = r
0.065902 = r
then, converting r decimal to a percentage
r = 0.065902 x 100 = 6.5902 %
3.1 plus 7.4 plus 6.9
Answer: 17.4
Step-by-step explanation:
There isn't much to it... it's basic addition.
I guess if you were not using a calculator you would set it up like this:
3.1
+7.4
+6.9
---------
17.4
Answer:
17.4
Step-by-step explanation:
if you estimate all of these you get 3,7, and 7, these(added together) are 17,
What is the value of x?
Answer:
x=35
Step-by-step explanation:
1. Which of the given equations are linear?
what is 4/3 divided by 5/3
Answer:
4/5
Step-by-step explanation:
4/3 ÷ 5/3
Copy dot flip
4/3 * 3/5
Rewriting
4/5 * 3/3
4/5
Answer:
Step-by-step explanation:
The answer is 0.8
Question 1 of 10
On a timeline, a milestone 6 years in the future will be to the
of a
milestone 3 years in the future and to the
of a milestone 12 years
in the future.
O A. right; right
O B. left; left
C. right; left
D. left; right
Answer: right, left
Step-by-step explanation:
A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost $17.15. Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$4.90
Step-by-step explanation:
17.15 / 7= 2.45
2.45*2=4.9
the cost of another two pains of glass is $4.90
You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that consists of 20 Type A bolts, 20 Type B bolts, and 20 Type C bolts. At random, you take 10 bolts out of the container. Determine: A) The probability you took the exact number of Type A bolts you need for your 5 assemblies. B) The probability you did not take enough Type A bolts that you need for your 5 assemblies. C) The probability you took more Type A bolts than you need for your 5 assemblies.
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
Which one would the equation be?
Answer:
a. [tex] y = \frac{2}{5}x - 6 [/tex]
Step-by-step explanation:
The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,
m = slope
b = y-intercept.
Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.
[tex] 2x - 5y = 12 [/tex]
[tex] 2x - 12 = 5y [/tex]
Divide both sides by 5
[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]
[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]
Rewrite
[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]
The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.
[tex] 4y + 24 = 5x [/tex]
[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)
Divide both sides by 4
[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]
[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]
[tex] y = \frac{5x}{4} - 6 [/tex]
The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6
Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:
[tex] y = mx + b [/tex]
Plug in the values of m and b
[tex] y = \frac{2}{5}x + (-6) [/tex]
[tex] y = \frac{2}{5}x - 6 [/tex]
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
Answer:b
Step-by-step explanation:
What is the standard form of the equation of a line that passes through
(2,0) and (0,-5)?
(4p^4)^2 without exponents
Answer:
(4p x 4) x 2 = 16p x 2 = 32p
Step-by-step explanation:
The required simplification is (4p⁴)² = 256p⁸.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given expression is as below,
(4p⁴)²
Without using the exponents the given expression can be simplified as follows,
The power to any number simply means that the number will be multiplied to itself as many number of times. this basic rule is used to obtain result as,
(4p⁴)²
= (4p × 4p × 4p × 4p)²
= (16p⁴)²
= 16p⁴ × 16p⁴
= 256 × (p × p × p × p × p × p × p × p)
= 256p⁸
Hence, the given expression can be simplified as 256p⁸.
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2⋅(5^8/5^5)
its making me add extra words
Answer:
250
Step-by-step explanation:
1. Simplify the expression to 2 x 5^3.
2. Evaluate the power (125)
3. Solve 2 x 125
which point is on her graph? A. (1, 10) B. (22, 3) C. (6, 34) D. (2, 20)
Answer:
There is no picture
Step-by-step explanation:
I wanted to help but i cant
Answer:Its D
Step-by-step explanation: (6, 34)
someone help it’s due in a couple of min
Answer: A $5800
Step-by-step explanation:
His parents cover 9100+ the scholarship for 3300=12400
Please helpppp need this done right nowwwe
Answer:
1. Given
2. Similar Lines(given in diagram)
3. Vertical Angles
4. SAS(or Side-Angle-Side)
Step-by-step explanation:
1 is given because that is whats given to you.
2 is Similar Lines because, on the diagram, when a line has a small dash on it and another line has the same dash, this means that they are similar.
3 is Vertical Angle because a vertical angle is an angle that is reflective of another angle and, according to the Vertical Angle Theory, all vertical angles are equal.
4 is SAS because you always go counterclockwise on the triangle when finding the congruent abbreviation and her you can see it is Side(LN=NW), Angle(LNS=WNK), Side(SN=NK).
How do you do this question? And why is the answer E and not A?
Step-by-step explanation:
The answer should be A.
We can start with the fact that x = cos t, y = sin t traces the unit circle counterclockwise once every 2π radians, starting at (1, 0).
By starting at t = π instead of t = 0, we move the starting point to (-1, 0) without changing the direction.
All 5 options have the correct starting point (except D) and number of rotations, but only option A is counterclockwise.
Which of the following are factors of 12?
1 And 12
2 And 6
3 And 4
Answer:
id just learned this a month ago so i think its 2 and 6 i hope u get 100!
Step-by-step explanation:
Answer:
All three are correct.
Step-by-step explanation:
1x12 is 12, so #1 is correct.
2x6 is 12, so #2 is correct.
3x4 is 12, so #3 is correct.
Find the value of g when 5g+15 equals 2g+27 . Use pencil and paper. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
its b
Step-by-step explanation:
The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total
Answer:
90.
Step-by-step explanation:
If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.
As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.
So x = 1/6(2x + 60)
x = 1/3x + 10
2/3 x = 10
x = 10*3/2 = 15.
So the total number of people = 2(15) + 60 = 90.
Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim? Calculate the appropriate test statistic (round to 2 decimal places as needed)
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
Step-by-step explanation:
From the question we are told that
The sample size is n = 35
The sample standard deviation is [tex]s = 2.12[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \sigma ^2 = 9.0[/tex]
The alternative hypothesis is [tex]H_a : \sigma ^2 < 9.0[/tex]
Gnerally the test statistics is mathematically represented as
[tex]X^2 _{stat} = \frac{(n -1) * s^2 }{\sigma^2 }[/tex]
[tex]X^2 _{stat} = \frac{(35 -1) * 2.12^2 }{9 }[/tex]
=> [tex]X^2 _{stat} = 16.98[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 35 - 1[/tex]
=> [tex]df = 34[/tex]
From the chi - distribution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 34[/tex] is
[tex]X^2_{\alpha, 34 } =56.060[/tex]
From the value obtained we see that the test statistics does not lie within the region of rejection (1.e 56.060 , [tex]\infty [/tex] )
Then
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims