Answer:
$0.70 per letter, $1.50 flat fee
Step-by-step explanation:
Let x be the flat fee.
Let y be the cost of sending 1 letter.
Lets create 2 equations from those 2 instances.
First Instance: x + 35y = 26 - Equation 1
Second Instance: x + 18y = 14.1 - Equation 2
To find x and y , we can use elimination method in solving simultaneous equations.
Equation 1 - Equation 2
x - x + 35y - 18y = 26 - 14.1
17y = 11.9
y = [tex]\frac{11.9}{17} \\[/tex]
= $0.70
Now we substitute y into equation 1.
x + 35(0.70) = 26
x + 24.50 = 26
x = 26 - 24.50
= $1.50
From the above we know the post charges $0.70 per letter sent and charges $1.50 flat fee.
I NEED HELP ASAP ILL GIVE BRAINLIEST!
What is the probability of getting a sum of 7 when rolling two number cubes?
Answer:
1/6
Step-by-step explanation:
Answer:1\6
Step-by-step explanation:
Help on math please
Answer:
40cm²Step-by-step explanation:
ΔABC ≅ ΔDEF
The length AB = 28 and the length of DE = 7. Since these are corresponding sides, we know that DEF= 1/4 (ΔABC)
So, since ΔABC = 160, we know that ΔDEF will be 1/4 of that, meaning that ΔDEF is 40.
ΔDEF = 40cm²
Answer:
10 cm2
Step-by-step explanation:
The ratio per side is 28/7 = 4
When two similar figures have a ratio of 4:1, the difference between their areas is:
[tex](4)^{2} :(1)^{2}[/tex]
[tex]16:1[/tex]
That is, the dimension of the area of the largest figure is 16 times larger than the smallest figure.
So for this case:
the area of the larger figure is
ΔABC = 160 sq.cm
Then the area of the minor figure is:
ΔDEF= 160/16 = 10 sq.cm
Hope this helps
30 men can complete a job in 12 days if each man works 8 hours a day. if the job is to be completed with 24 men working at the same rate, how many hours must they work in a day
Answer:
15
Step-by-step explanation:
→ Write the ratio of men to days to hours
30 : 12 : 8
→ Write the new proportion
24 : x : 8
→ Find the multiple between 30 and 24
1.25
→ Multiply by 12
12 × 1.25 = 15
The ratio of Jessica’s stickers to Rod’s stickers is 7:4. Jessica has 21 stickers. How many
stickers does Rod have?
Answer:
12stickers
Step-by-step explanation:
that's all I could do.have a nice day.hope it helps.
a factory uses 3/8 of a barrel of raisins in each batch of granola bars.yesterday the factory use 3/4 of a barell of rasins how many batches of granola bars did the factory make yesterday
Answer:
2
Step-by-step explanation:
3/4=6/8
(6/8)/(3/8)=2
A local electronics store offers a rewards card to each of its customers. The number of rewards points a customer earns varies directly with the amount of money, in dollars, that the customer spends at the store. After spending $60 at the electronics store, Jay earned 15 points. If Jay spends 40 at the store, how many points will he earn?
If Jay spends 40 at the store, the number of points he will earn is; 10 points
How to solve direct variation?Let the number of rewards points a customer earns be y
Let the amount of money, in dollars, that the customer spends at the store be x.
Since the number of rewards points a customer earns varies directly with the amount of money, in dollars, that the customer spends at the store, then we can say that;
y ∝ x
Thus;
y = kx
where k is the constant of proportionality.
We are given x = 15 when y = $60. Thus;
60 = 15k
k = 60/15
k = 4
If Jay spends $40, it means the number of points will be;
40 = 4x
40/4 = x
x = 10 points.
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When dividing the polynomial using synthetic division, which of the following setup boxes would be used?
The setup boxes in the synthetic division are (b)
How to determine the setup boxes?The dividend is given as:
x^3 + 4x^2 + x - 6
The divisor is given as:
x - 2
Set the divisor to 0
x - 2 = 0
Solve for x
x = 2
Remove the variables in the dividend
1 + 4 + 1 - 6
Remove the arithmetic signs
1 4 1 - 6
So, the setup is:
2 | 1 4 1 - 6
Hence, the setup boxes are (b)
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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals 1/4 left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?
The equation in point slope form is y-1 = 1/4(x - 12)
Equation of a lineThe formula for calculating the equation of a line is expressed as;
y = mx + b
m is the slope
b is the intercept
Slope = 1+3/12+4
Slope = 4/16
Slope = 1/4
For the intercept
1 = 1/4(12) + b
b = 1 - 3
b = -2
Hence the equation in point slope form is y-1 = 1/4(x - 12)
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The standard form is:
4y - x = -8
How to get the standard form of the line?We know that the point-slope equation of the line is:
y - 1 = (1/4)*(x - 12)
Expanding the right side, we get:
y - 1 = (1/4)*x - 3
Now we can move the term with x to the left side:
y - (1/4)*x = +1 - 3
y - (1/4)*x = -2
Now we can multiply both sides by 4:
4y - x = -8
This is the standard form of the linear equation.
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evalute the following integral.
Help me...step by step
Answer:
= ax + b ln x - c/x + C
Step-by-step explanation:
Recall:
integral a dx = ax + C
integral 1/x dx = ln x + C
integral x^(n) = [x^(n +1)]/(n + 1) + C
Also:
c = variable in this problem
C = constant you add when you integrate
Separate each term of the numerator and set it over the denominator.
integral (ax^2 + bx + c)/x^2 dx =
integral [(ax^2)/x^2 + (bx)/x^2 + c/x^2] dx
Simplify each term and separate into the sum of 3 integrals.
= integral (a dx) + integral (b/x dx) + integral (c/x^-2) dx
= ax + b ln x + (cx^-1)/(-1) + C
= ax + b ln x - c/x + C
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.
Jose also has to state that
The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.
What other congruence statements must Jose state?It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.
It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.
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Point Q is the center of dilation. Rectangle L M N P is dilated to form rectangle L prime M prime N prime P prime. Side L M is 4 inches and side M N is 6 inches. The length of Q L is 12 and the length of L L prime is 42.
Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?
24 in.2
108 in.2
224 in.2
486 in.2
The area of the enlarged picture on the wall is gotten as; D: 486 in²
How to use center of Dilation?The formula for Linear scale factor is;
L.S = Image distance/object distance
Thus, from the attached image, we can find the Linear scale factor as;
L.S = OL'/OL
L.S = 54/ 12
L.S = 9/2
Area scale factor is equal to the square of linear scale factor. Thus;
Area scale factor = (9/2)²
Area scale factor = 81/4
Now,
81/4 = Area of larger rectangle/Area of smaller rectangle
Area of the smaller rectangle = 4 ×6 = 24 in²
Thus;
Area of enlarged picture on wall = (81/4) × 24
Area of enlarged picture on wall = 486 in²
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Answer:
Step-by-step explanation:
its D
So please answer this please for 50 points so you can do what im doing.
Answer:
I think it's C
Step-by-step explanation:
Hope it helps
The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as _____. Group of answer choices risk analysis regression analysis data mining decision tree analysis
The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis
Risk analysis is define as the the process of identifying and analyzing potential issues that could negatively impact key business initiatives or projects. This process is done in order to help organizations avoid or mitigate those risks.
So, The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis
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HELP! Which of the following theorems allows for the ? to be found in the following diagram?
Answer:
The side splitter theorem.
Step-by-step explanation:
You have a pair of parallel lines intersecting a triangle.
Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.
What additional information could be used to prove that △ABC ~ △NML? Check all that apply.
∠B ≅ ∠M
△ABC is a right triangle.
△ABC was rotated and dilated by a scale factor between 0 and 1.
△ABC was translated right and down.
∠C ≅ ∠L
The additional information needed to prove both triangles are similar are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
What are Similar Triangles?When a triangle is rotated and dilated by a scale factor, the new triangle formed has the same shape but different size of the original triangle. However, all its corresponding angles remains congruent.
Thus, for triangles ABC and NML to be similar to each other, since we already known each have one congruent right angles, the additional information needed are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
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A student wrote the expression: 2(5x + 3) what are two expressions that are equivalent to the student's expression
Answer:
[tex]\frac{(20x+12)}{2}[/tex] and [tex]\sqrt{100x^2+36}[/tex]
Step-by-step explanation:
The expression 2(5x + 3) equals 10x + 6
One other way to get 10x + 6
[tex]\frac{(20x+12)}{2}[/tex]
finally, you could do:
[tex]\sqrt{100x^2+36}[/tex]
equation with a slope of -4 and goes through the point (-1,1)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What's the equation with a slope of -4 that goes through (-1,1)? find it
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
The equation used, here is [tex]\bf{y-y1=m(x-x1)}[/tex].
[tex]\bf{y-1=-4(x-(-1)}[/tex] | simplify after putting in the information given
[tex]\bf{y-1=-4(x+1)}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=y-1=-4(x+1)}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
I am between 30 and 50.
The sum of my digits is 10.
My ones digit is greater than
my tens digit. I am not 37.
Who am I?
Please help ill give whoever answers the best the brainliest answer :)))
Answer:
Distance on the graph is representing the distance from Michelle's home. On her morning jog, Michelle ran to the end of her street, turned around and jogged at a slower pace back home.
HELP PLS! I need this FAST!
30 points and BRAINLIEST!
Answer:
36
Step-by-step explanation:
MC : BC : MB = 1 : √3 : 2
MC : BC = 1 : √3
12 : BC = 1 : √3
BC = 12 : 1/√3
BC = 12 × √3/1
BC = 12 × √3
BC = 12√3
MC : MB = 1 : 2
12 : MB = 1/2
MB = 12 : 1/2
MB = 12 × 2/1
MB = 12 × 2
MB = 24
AB = 2BD
AB = 2CD√3
AB = 2(½BC)√3
AB = 2(½ × 12√3) √3
AB = 2 × 6√3 × √3
AB = 12 × √9
AB = 12 × 3
AB = 36
Solving 8 problems per Minute, Fast Funn can finish his test in time. He was, however, working fast, solving 10 problems per minute. That is why he finished 6 minutes early. How many problems were on the text
The number of problems that were on the text was 240 problems.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total number of problems that were on the text, y represent the time to be spent, hence:
y = x/8
Also:
y - 6 = x/10
x/8 - 6 = x/10
x = 240
The number of problems that were on the text was 240 problems.
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The monthly income of Ram is Rs 40,000. If he paid Rs 8,000 as income tax. Find the rate of income tax.
Hello!
Rate of income tax = Tax paid / Monthly income
⇒ Rate = 8,000 / 40,000
⇒ Rate = 0.2
⇒ Rate = 20%
∴ The rate of income tax is 20%.
what is the first quartile of the set of data 14,28,33,42,53,81,97
The first quartile of the data set is 28.
Determining the first quartileFrom the question, we are to determine the first quartile of the given data set
The first quartile or lower quartile, (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.
The given data set is
14,28,33,42,53,81,97
In the given data set, the first quartile is 28.
Hence, the first quartile of the data set is 28
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write x 5/3 in radical form
x f(x)
-1
7
1
6
3
5
4
1
6 -1
The values in the table define the function f(x). Two points that lie on the graph of f^-1(x) are ___ and ___
Two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
How to determine the points?The table of values is given as:
x f(x)
-1 7
1 6
3 5
4 1
6 -1
Swap the points to determine the inverse function f^-1(x)
x f^-1(x)
7 -1
6 1
5 3
1 4
-1 6
The points from the above table are (7, -1) and (6,1)
Hence, two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
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Neeedd helpppp !!!!!!!
Write a compound inequality that represents the given graph:
The compound inequality that represents the given graph is x < -2 or x ≥ 4. The correct option is B. x < -2 or x ≥ 4
Writing inequalitiesFrom the question, we are to write the compound inequality that represents the given graph
In the graph, we have
x < -2
or
x ≥ 4
Hence, the compound inequality that represents the given graph is x < -2 or x ≥ 4. The correct option is B. x < -2 or x ≥ 4
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Help me solve this equation about completing tables and comparisons.
At the end of week 3, plant 1 is 0.6 inches taller than plant 2.
How much taller is plant 1 than plant 2 at the end of week 3?For plant 1, the height (in inches) equation as a function of the number of weeks is:
[tex]h_1(w) = 2.5 + \frac{4}{10}*w[/tex]
The height for w = 3 is:
[tex]h_1(3) = 2.5 + \frac{4}{10}*3 = 3.7[/tex]
So the height at the end of week 3 is 3.7 inches.
For plant 2 the equation is:
[tex]h_2(w) = 2.5 + \frac{1}{5}*w[/tex]
The height for w = 3.
[tex]h_2(3) = 2.5 + \frac{1}{5}*3 = 3.1[/tex]
So the height at the end of week 3 is 3.1 inches.
The difference is:
3.7 in - 3.1 in = 0.6 in
At the end of week 3, plant 1 is 0.6 inches taller than plant 2.
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]Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K.
Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?
a reflection across the line containing HK
a rotation about point H
a reflection across the line containing HJ
a rotation about point K
The second transformation is a rotation about point H.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
As two rigid transformations, to map ΔHJK to ΔLMN.
The first is a translation of vertex H to vertex L, and the second transformation is a rotation about point H.
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Answer:
B. a rotation about point H
Step-by-step explanation:
got it correct on my quiz
Help please!
What’s the answer for graphing the piece wise function to get the right answer?
Answer:
-b
Step-by-step explanation:
A 15 foot ladder is placed on the top of a wall. The distance from the bottom of the wall to the bottom of the ladder is 7 feet. Calculate the height of the wall.
The height of the wall from the question is 13.27ft
Pythagoras theoremThe theorem states that the square of the longest side is equal to the sum of square of other two sides.
From the given question
Hypotenuse (ladder length) = 15ft
Adjacent = 7feet
Required
Height of the wall H
According to the theorem
15² = 7² + H²
H² = 225 - 49
H² = 176
H = 13.27feet
Hence the height of the wall from the question is 13.27ft
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