Answer:
1) The inequality is $55 ≥ $11.50 × S + $2.75
2) Alonso can afford 4 boxes of sugar
Step-by-step explanation:
The given information are;
The total amount with Alonso = $55
The amount of eggs Alonso needs = 12 eggs
The costs of the pack of 12 eggs = $2.75
The number of packs of eggs Alonso buys = 1
The cost of each box of sugar = $11.50
Let the number of boxes of sugar Alonso buys = S
Given that the total amount of money with Alonso is $55, then the inequality will be such that $55 will be equal to or larger than the expression for items bought
Therefore, the inequality is given as follows;
$55 ≥ $11.50 × S + $2.75
2) To find out how many boxes of sugar Alonso can afford, we have;
$55 ≥ $11.50 × S + $2.75
$55 - $2.75≥ $11.50 × S
$52.25 ≥ $11.50 × S
∴ S ≤ $52.25/$11.50 = 4.54
S ≤ 4.54 boxes of sugar
As the sugar comes in whole boxes, Alonso can therefore afford only 4 whole boxes of sugar.
Alonso can afford to buy 4 boxes of sugar.
An inequality to represent how many boxes of sugar can Alonso afford is 55 ≥ 2.75 + 11.50s
Given:
Amount with Alonso = $55
Package of 12 eggs = $2.75
Cost of each box of sugar = $11.50
let
s = number of boxes of sugar Alonso can afford
The inequality:
55 ≥ 2.75 + 11.50s
solve for s
55 - 2.75 ≥ 11.50s
52.25 ≥ 11.50s
divide both sides by 11.50
52.25 / 11.50 ≥ s
4.5434782608695 ≥ s
Alonso can only buy a whole box of sugar
Therefore, the number of boxes of sugar Alonso can afford is 4 boxes
Read more:
https://brainly.com/question/11067755
I believe this is pretty easy but it's: solve for x using common denominators 3/4(x+2)=x/(x+3) Answer choices below:
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{x}{x+2}[/tex]
multiply numerator/ denominator of [tex]\frac{x}{x+2}[/tex] by 4, thus
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{4x}{4(x+2)}[/tex]
Since the denominators are common , equate the numerators, that is
4x = 3 ( divide both sides by 4 )
x = [tex]\frac{3}{4}[/tex]
Kendra rides a bicycle on a path that is 84 miles her average speed is 7 miles per hour to find about how long the trip takes solve the distance formula d = rt for t then substitute to find the time the trip takes
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~
Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?
-----
time = distance/rate
-----
t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.
Cheers,
Stan H.
------
So the answer is 12 hours.
------
Hope this helped you. Brainliest would be nice!
Complete the equation: x2+10x+__=(__)^2 A. 25; x+5 B. 25; x−5 C. 10; x+10 D. 10; x−10
Answer:
Answer A) 25, and x+5
Step-by-step explanation:
You need to complete the square by adding a constant that makes the quadratic expression a perfect square of a binomial. So base your analysis on the fact that the coefficient accompanying the square term of x is one, and the fact that the middle term has coefficient 10 which is twice "5" so 5 is the likely candidate for the binomial that goes squared: (x + 5) and the square of 5 (25) is what you need to add as constant term to get the perfect square of a binomial:
[tex]x^2+10x+25=(x+5)^2[/tex]
31. Five more than twice a number is three
times the difference of that number and
two. What is the number?
Answer: 5(x+3)(x-2)
Step-by-step explanation:
just read closely and pay attention in class.
solve a+1= √b+1 for b
Answer: The Third one is correct
Step-by-step explanation:
4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,
find the smallest possible value of m
Answer:
187
Step-by-step explanation:
A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.
We should first find the LCM of 30, 36 and 45
We get that the LCM of the three numbers is 280 (working attached).
So now;
[tex]\frac{180}{30}[/tex] = 6
[tex]\frac{180}{36}[/tex] = 5
[tex]\frac{180}{45}[/tex] = 4
But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.
Quadrilateral ABCD is a kite. A kite. Angle A is 90 degrees, angle B is unknown, angle C is 130 degrees, angle D is unknown. What is the measure of angle B? degrees
Answer:
70 degrees
Step-by-step explanation:
(360 - 90 - 130)/2=70
Solve for x. 3 1 2 140
Answer:
Hey there!
Angle QRS is 70, and since it is located on the circle, we have a useful formula. If 141x-1 is called y, then 70 is half of that.
Thus, we have 141x-1=140
141x=141
x=1
Hope this helps :)
please Evaluate 27 times ( 1/3) to the 3 power. A). 1 B). 3 C). 9 D). 27
Answer:
you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.
Step-by-step explanation:
27(1/3)^3
81^3
512
Which of the following options could represent a possible set of interior angles of a triangle? 100°, 130°, and 130° 30°, 70°, and 80° 25°, 3°, and 35° 45°, 105°, and 120°
Answer:
2) 30, 70, 80
Step-by-step explanation:
Well there has to be 3 angles that all add up to 180°.
1)
100+130+130
=360
2)
30+70+80
= 180
3)
25+3+35
=63
4)
45 + 105 + 120
=150
150+120
270
Any answers on this?
Answer:
40
Step-by-step explanation:
We're given an angle that forms a linear pair, and we're given an isosceles triangle. The angle to the right of 110 is 70, since they have to add up to 180. Since this is an isosceles triangle (denoted by the two dashes), we know that the other base angle has to be 70. 70 + 70 = 140; all angles add up to 180 so 180 - 140 = 40 degrees.
Answer:
40 degrees
Step-by-step explanation:
Since this is an isosceles triangle the 2 bottom angles are congruent
The bottom angles will be 70 degrees bc the exterior angle is 110 and 180-110=70
Because a triangle adds up to 180 degrees you need to use the equation 70 + 70 + x = 180 and you should get x = 40 degrees
The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below.
On a coordinate plane, a graph of a function is in quadrants 1 and 4. The function goes through the x-axis at (2, 0), (3, ), and (4.5, 0).
How many roots of f(x) are rational numbers?
0
1
2
3
Mark this and return
Answer:
it'd be 3! :)
Step-by-step explanation:
took quiz
to be sure, the graph goes like
/ , then a hill like shape, then goes U, and then goes up
The number of rational roots of the equation are 3.
What is the root of an equation?The root of an equation are the solutions to an equation. The equation as shown is a cubic equation hence will have three roots shows as (2, 0), (3, 0), and (4.5, 0).
It thus implies from the foregoing that the number of rational roots of the equation are 3.
Learn more about root of an equation:https://brainly.com/question/12029673
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Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?
Answer:
in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves working together.
Step-by-step explanation:
If Maya rakes the leaves in x minutes, then, in one minute she rakes [tex]\frac{1}{x}[/tex] leaves.
In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes [tex]\frac{1}{y}[/tex] leaves.
Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: [tex]\frac{1}{x}+ \frac{1}{y}[/tex]
Now, to simplify this expression:
[tex]\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}[/tex]
Thus, in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves.
Hey loves!!! Plz help if you have the time.<3
Answer:
The first and last answer.
Step-by-step explanation:
If you look closely at the triangles you can tell which ones are the same and which differ.
Hope this helps!! <3
The bottom cup in a 73 cm tall stack of nested identical cups is 10 cm tall. If each additional cup adds 1.5 cm to the height of the stack, how many total cups are in the stack?
Answer:
43 cups
Step-by-step explanation:
Subtract the height of the one cup from the stack
73 - 10
63
The rest of the cup each add 1.5 cm to the stack
take the remaining height and divide by 1.5 for each cup
63 cm/ 1.5 cm per cup
42 cup
There are 42 cups in the remaining part of the stack
Plus the 1 cup that is 10 cm
42+1 = 43 cups total in the stack
Answer:
[tex]\boxed{\sf 43 \ cups}[/tex]
Step-by-step explanation:
The stack is 73 cm tall, one cup is 10 cm.
Let’s subtract the height of the one cup from the height of the stack.
[tex]\sf 73 - 10\\=63[/tex]
The cups left each add 1.5 cm.
Let x be the cups left.
[tex]\sf 1.5x=63\\x=\frac{63}{1.5} \\x=42[/tex]
Add the 1 to the cups left, because that first cup was subtracted from the height of the stack.
[tex]\sf 42+1\\=43[/tex]
A survey asks "would you like to see more or less government spending on natural disasters?" Of the 1496 respondents, 723 responded "more" or "much more". The population of interest consists of
A) the proportion of American adults who would respond "more" or "much more"
B) the 723 respondents who responded "more" or "much more"
C) the 1496 respondents
D) all American adults
E) the proportion of respondents who responded "more" or "much more"
Answer:
D) all American adults
Step-by-step explanation:
The 1496 respondents are the sample of the survey that was used to represent the population of interest, which is the total population from which the sample was drawn and the population from which the researchers want to find conclusions.
Looking at the alternatives, the only one that fits the description is alternative D) all American adults .
Equivalent equation to 19-6(-k+4)=
Answer:
-5+6k
Step-by-step explanation:
19-6(-k+4)=16+6k-24=6k-5
Answer:
6k-5
Step-by-step explanation:
19-6(-k+4)=
19+6k-24=
6k-5
Solve 5c − c + 10 = 34.
Answer: 6
Step-by-step explanation: 1. 5c-c= 4c. The equation would then be 4c+10=34.
2. From there, you subtract 10 from both sides of the equation. By doing this, you have the variable and the nonvariable on separate sides of the equation.
3. After doing that, you should have 4c=24. To get the variable by itself, divide both sides by 4. 4c/4 is c and 24/4 is 6.
The final answer is 6. Hope this helped you:)
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99.9% confident that you estimate is within 1% of the true population proportion. How large of a sample size is required
Answer: 27061
Step-by-step explanation:
given that Р = 0.5
so
1 - P = 1 - 0.5 = 0.5
ERROR OF MARGIN E = 0.01
SIGNIFICANCE LEVEL α = 1 - confidence level
α = [(1 - (99.9/100)] = 0.0010
α / 2 = 0.001 / 2 = 0.0005
Zα/2 = Z0.0005 = 3.29 (using the Z table )
therefore
Sample size n = ((Zα/2) / E)² * P * (1 - P )
Sample size n = (3.29 / 0.01)² * 0.5 * 0.5
Sample size n = 108,241 * 0.5 * 0.5
Sample size n = 27,060.25 ≈ 27,061
Answer:
sample size should be atleast n= 27069
Step-by-step explanation:
Given that,
confident level(CI) = 99%= 0.999
desired marginal error=1%= 0.01
note: marginal error = length of CL/2
significant level α = 1 - confident level = 1 - 0.999= 0.001
critical value = Zα/2 = Z(0.001/2) = Z0.0005( value of from z table) = 3.2905267
since we don't have preliminary estimate, p' = 0.5, which is require for maximum value
n = p' × (1 - p')(critical value/desired marginal)²
n= 0.5 × 0.5(3.2905267/0.01)²
n = 27068.91
the value of n has to be an integer = 27069
A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose chocolate pie, and the margin of error was given as percentage points. Describe what is meant by the statement that "the margin of error was given as percentage points.
Which one would be a true statement?
A. The statement indicates that the study is 100%−3%=97% confident that the true population percentage of people that prefer chocolate pie is 11%
B. The statement indicates that the interval 11%+3% is likely to contain the true population percentage of people that prefer chocolate pie.
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%±3%.
D. The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is exactly 11%.
Answer:
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%±3%.
Step-by-step explanation:
Data provided in the questions
Number of respondents = 1,000
Choose chocolate pie = 11%
margin of error = ±3 percentage points
Based on the above information,
The lower limit is
= 0.11 - 0.03
= 0.08
And, the upper limit is
= 0.11 + 0.03
= 0.14
So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference
The step function g(x) is defined as shown. g(x) = StartLayout Enlarged left-brace 1st row 1st column negative 3, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2, 2nd column 0 less-than x less-than-or-equal-to 4 3rd row 1st column 5, 2nd column 4 less-than x less-than-or-equal-to 10 EndLayout
Answer:
{–3, 2, 5}
Step-by-step explanation:
The range refers to the values for the axis i.e to be dependent when there is a defined function
And the range is the combination of the integer i.e to be compounded by these three values
Data provided in the question
-3 , x ≤ 0
2, 0 < x ≤ 4
5, 4 < x ≤ 10
Based on the above information, the range of g(x) is {-3,2,5}
Hence, the correct option is c.
Answer:
C
Step-by-step explanation:
Simplify the polynomial expressions by combining like terms, and then multiply the resulting
binomial expressions to find their product.
(6x - 9 - 2x)(8 + 5x - 5)
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
Answer:
20x^2 - 33x - 27
Step-by-step explanation:
evaluate 1/2^-2x^-3y^5 for x=2 and y=-4
Answer:
[tex] - \frac{1}{32} [/tex]Step-by-step explanation:
Given,
x = 2
y = - 4
Now, let's solve:
[tex] \frac{1}{ {2}^{ - 2} \: {x}^{ - 3} \: {y}^{5} } [/tex]
plug the values
[tex] \frac{1}{ {2}^{ - 2} \: {(2)}^{ - 3} \: {( - 4)}^{5} } [/tex]
A negative base raised to an odd power equals a negative
[tex] \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {( - 4}^{5}) } [/tex]
Determine the sign of the fraction
[tex] - \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {4}^{5} } [/tex]
Write the expression in exponential form with a base of 2
[tex] - \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {2}^{10} } [/tex]
Calculate the product
[tex] - \frac{1}{ {2}^{5} } [/tex]
Evaluate the power
[tex] - \frac{1}{32} [/tex]
Hope this helps...
Best regards!!
Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2:
negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL
−1.76 g/dL<μ1−μ2<−1.62 g/dL. Complete parts (a) through (c) below.
a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Answer:
a) Because the confidence interval does not include 0 it appears that there
is a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.
b)There is 95% confidence that the interval from −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2
c) 1.62 < μ1−μ2< 1.76
Step-by-step explanation:
a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Given:
95% confidence interval for the difference between the two population means:
−1.76g/dL< μ1−μ2 < −1.62g/dL
population 1 = measures from women
population 2 = measures from men
Solution:
a)
The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in men is not equal and that the women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in men.
b)
There is 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.
c)
If we interchange men and women then
confidence interval range sign will become positive.μ1 becomes the population mean of the hemoglobin level in menμ2 becomes the population mean of the hemoglobin level in women So confidence interval becomes:1.62 g/dL<μ1−μ2<1.76 g/dL.
There is a significant difference between the mean level of hemoglobin in women and in men.
How to interpret the confidence intervalThe confidence interval of the mean is given as:
[tex]-1.76 g/dL < \mu_1-\mu_2 < -1.62 g/dL[/tex]
The above confidence interval shows that the confidence interval is exclusive of 0.
This means that 0 is not part of the confidence interval
Since the confidence interval is exclusive of 0, then there is a significant difference between the mean level of hemoglobin in women and in men.
Read more about confidence intervals at:
https://brainly.com/question/17097944
A shopkeeper sold an article at 20 % discount and made a loss of Rs 90. If he had
sold it at 5 % discount, he would have gained Rs 90. Find the cost price and the
marked price of the article.
Answer:
The cost price of the article is Rs 1050
The marked price of the article Rs 1200
Step-by-step explanation:
The given discount on the article = 20%
The amount loss = Rs 90
With a discount of 5% the amount gained = Rs 90
Let the cost price of the article = X
Let the marked price of the article = Y
Therefore, we have;
(1 - 0.2) × Y = X - Rs 90
(1 - 0.5) × Y = X + Rs 90
Which gives;
0.8·Y = X - Rs 90 .......................(1)
0.95·Y = X + Rs 90.....................(2)
Subtracting equation (1) from equation (2), we have;
0.95·Y-0.8·Y = X + Rs 90 - (X - Rs 90) = X - X + Rs 90 + Rs 90 = Rs 180
0.15·Y = Rs 180
Y = Rs 180/0.15 = Rs 1200
Therefor, the marked price of the article = Rs 1200
From;
0.8·Y = X - Rs 90, we have;
0.8×Rs 1200 = X - Rs 90
X = 0.8× 1200 + 90 = Rs 1050
Therefore, the cost price of the article = Rs 1050.
If a equals 15, then what number does 2a - 5 equal?
Answer:
25
Step-by-step explanation:
a=15
2(15)-5=25
30-5=25
Answer:
25
Step-by-step explanation:
The problem substituting a for 15 would be 2(15)-5
2*15 is 30, then -5 is 25.
A school has 6 3/4 kg of detergent in stock. During ' Use Your Hands ' campaign, each class will be given 3/8 kg of detergent. There are 28 classes in the school.
(a) What fraction of the school will be supplied with the detergent in stock?
(b) How much detergent will be required altogether for the whole school?
(c) How much more detergent does the school need to order?
(d) If the school gives out the detergent in stock to the 15 lower secondary classes first,
(i) how much detergent will be given out;
(ii) how much detergent in stock will be left?
Answer:
Step-by-step explanation:
Total stock available = 6 x 3/4 = 18/4
Detergent given to each class=3/8
Total number of classes in the school = 28
Total detergent required by the school=3/8*28
=42/4
a. Fraction if the school who will get the detergent=18/42
b. Total required detergent for the whole school= 42/4
c. School needs to order = 42/4 - 18/4
= 24/4
= 6
d. i. Detergent given out to 15 classes = 15 x 3/8
= 45/8
ii. There will be no detergent left in stock
Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?
Answer:
12.5%
Step-by-step explanation:
The price for the ski = $2000
The payments made each = $250
percentage of the total cost that the payment is = ?
The percentage will be calculated as
the ratio of the payments made to the price of ski times 100%
250/2000 x 100%
==> 0.125 x 100% = 12.5%
Solve the following equation for x . 9=x2+2
Answer:
X=3.5
Step-by-step explanation:
9=x2+2
9-2=x2
(9-2)÷2=x
pls say me the 12th qns
Answer:
Step-by-step explanation:
12) p & q are parallel lines , n is transversal
4z = 108 { corresponding angles are congruent}
Divide both sides by 4
z = 108/4
z = 27°
n & m are parallel lines , p is transversal
3y = 4z { corresponding angles are congruent}
3y = 4 * 27
y = [tex]\frac{4*27}{3}[/tex]
y = 4*9
y = 36°
n & l are parallel lines, q is transversal
6x = 108 { corresponding angles are congruent}
x = 108/6
x = 18°