Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *
Answer: 3/12 3 blues and 12 colors in total i dont know how to explain sorry
Answer:
Hills, mountains and rivers are example of ------------------ features
A. A car travels 20 m/s and reached its destination in a record time of 10 secs. Calculate the distance
travelled by the car.
Find the area. Simplify your answer.
x-5
6
Answer:
6x-30
Step-by-step explanation:
Just multiple like this (6)(x-5)
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
-5/4
What is 4 divided by negative 5
Answer:
-0.8
Step-by-step explanation:
Hope this helps!! :) :) Please mark Brainlliest.
Which number shows the digit 2 with a value ten times the value of the digit 2 in the number 54,267? A. 13,821 B. 18,092 C. 24,167 D. 32,154 What's the answer?
Answer:
D. 32,154
Step-by-step explanation:
54,267 can be written as 54267.0
The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10
Moving 1 space to the left = Times 10
Moving 2 places to the left = Times 100
Moving 3 places to the left = Times 1000
please help me please
Answer:
a complete metamorphosis undergoes four stages while an incomplete metamorphosis undergoes three stages skiping the larva stage
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in 2009. Suppose the survey was based on a sample of companies. Compute the margin of error and a confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in 2009. The margin of error: (to 4 decimals) The confidence interval: ( , ) (to 4 decimals)
Answerthey die
Step-by-step explanation:
hhhah
The radius of a basketball is approximately 12. Icm. What is the volume of the basketball?
Answer:
A = 4πr2
do you understand this?
Answer:
7238
Step-by-step explanation:
That's the answer....
What does 253.7 / 6 equal ?
what is 12x34(234)+123x234
Answer:
it's 124,254
Step-by-step explanation:
34 x 234 = 7,956
12 x 7956 = 95,472
123 x 234 = 28,782
95,472 + 28,782 = 124,254
hope that helps...
what is the answer to 8221 - 2974
The answer: 8221 - 2974 = 5274
16/4 divided by 32/1
First of all, observer that 16/4=4
Secondly, 32/1=32 because everything divided by 1 is itself.
Now the question is 4/32
We divide 4 from both top and bottom.
getting 1/8
A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value is T = 1.895.
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 6
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.895, which is the critical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159
The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, how much will her mother donate?
Answer:
$25.60
Step-by-step explanation:
To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.
16/0.25=64
64*0.4=25.6
$25.60
Answer:
thanks
Step-by-step explanation:
The manager of a customer support center takes an SRS of 40 reported issues and finds that 22% of the sampled issues required more than one call to resolve. The manager may take an SRS like this each month. Suppose that it is really an average of 25% of the approximately 1000 issues reported per month that require more than one call.
Let represent the proportion of a sample of 40 reported issues that require more than one call to resolve. What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
25% of the approximately 1000 issues reported per month that require more than one call.
This means that [tex]p = 0.25[/tex]
What are the mean and standard deviation of the sampling distribution of p?
Sample of 40 means that [tex]n = 40[/tex].
By the Central Limit Theorem,
The mean is [tex]\mu = p = 0.25[/tex]
The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.25*0.75}{40}} = 0.0685[/tex]
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
(4 1/4x + 8) + (-1 1/2x - 12)
Answer:
(19x-290)/(4(x+2)(x-6)
Step-by-step explanation:
Apply Fraction Rule:
(41)/(4x+8)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/2(x-6)
LCM:
(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)
Expand:
= (19x-200)/4(x+2)(x-6)
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
This is geometry please help 30 points!
Answer:
sin; 7.7
Step-by-step explanation:
✔️Reference angle = 50°
Length of side opposite to reference angle = b
Hypotenuse = 10
✅The trigonometric function to use is sin
✔️To find b (opp), we would use:
Sin 50 = opp/hyp
Sin 50 = b/10
10 × sin 50 = b
b = 7.66044443 ≈ 7.7 (nearest tenth)
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
Consider the graph of (x+3)2 + (y-2)2 > 1. Which point could confirm the graph is shaded correctly?
O (-4,2)
O (-3,5)
O (-3, 1)
O (-2,2)
Answer:
c) (-3, 1)
Step-by-step explanation:
It's the only point that is not on the border of the graph.
The point could confirm the graph is shaded correctly is (-3, 1)
The correct option is (C).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
[tex]\frac{\left(x\ +3\ \right)^{2}}{1}\ +\ \frac{\left(y-2\right)^{2}}{9} > 1[/tex]
As, per the graph attached below we can see that the small part is not shaded other than that part whole part is shaded.
Hence, the point could confirm the graph is shaded correctly is (-3, 1).
Learn more about graph here:
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7. A restaurant owner wants to see if there is a relationship between the amount of
sugar in some food items on her menu and how popular the items are.
She creates a scatter plot to show the relationship between amount of sugar in menu
items and the number of orders for those items. The correlation coefficient for the
line of best fit is 0.58.
a. Are the two variables correlated? Explain your reasoning.
b. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
a) Yes, the two variables correlated
b) Yes, variation of sugar changes the number of orders for item containing sugar
Step-by-step explanation:
a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7
b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
Answer:
The jellyfish travels faster than the walrus
Step-by-step explanation:
Given data
A jellyfish travels 3/5 mile in 1/6 hour
Distance= 3/5 mile
time= 1/6 hour
speed= distance/time
speed= 3/5/1/6
speed= 3/5*6/1
speed= 18 mile per hour
a walrus travels 5/6 mile in 3/10 hour.
Distance= 5/6 mile
time= 3/10 hour.
speed= distance/time
speed= 5/6/3/10
speed= 5/6*10/3
speed= 50/18 mile per hour
Answer:
the first answer is 3 3/5
the second answer is 2 7/9
the third answer is “greater than” and then “jellyfish”
Ur welcome
what is the volume of a cube with 2 1/4 inch sides
Answer:11.39
Step-by-step explanation:
Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT
Answer:
pencils=16
pen= 4ijsjh
Bugz
hheh7twh556
US 3ju7hutwbh67s
Nigeria is a bad country my name
is Hanna and I am from the USA
I am from Arizona
juhusjyrs hfah its
Please help! Thank you!
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: y = x + 15}}[/tex]
Step-by-step explanation:
to understand thisyou need to know:linear equationlinear equation word problemsPEMDAStips and formulas:linear equation:y=mx+blet's solve:all we need to care about the middle condition which is
the new test score is 15 points more than the original scoregiven that
original score is x
New score is y
if you pay attention to the given condition
we can find it same as linear equation
therefore
according to the question
the equation is
y=x+15A laundry basket has 24 t-shirts in it. Four are navy,
12 are red, and the remaining are white. What is the probability of selecting a green shirt
What is the probability of selecting a green shirt
Answer:
The probability is of selecting a green shirt is 8
Step-by-step explanation:
24 - 4 = 20
20 - 12 = 8
The probability of not selecting a white shirt is 2/3.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white
We have to find the probability of not selecting a white shirt
Total number of shirt's= 24
navy = 4
red = 12
white = 24 - ( 4+12)= 8 white shirts
number of shirts that are not white = 16
Therefore the probability of not selecting a white shirt = 16/24
= 2/3
Hence, the probability of not selecting a white shirt is 2/3.
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A laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white what is the probability of not selecting a white shirt
what is the elasped time between 1:35 and 6:00
Answer:
4 hours 25 minutes
Step-by-step explanation:
subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25
