Answer:
7
Step-by-step explanation:
A coefficient is the front number. A term is separated by the operators such as +, -, etc.
Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.
Mary paid $3.80 per pound and Mark paid $4.00 per pound.
19 ÷ 5 = 3.80
16 ÷ 4 = 4
Mary's unit rate is less than Mark's unit rate.
How to calculate expression?To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.
Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:
The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased
= $19 / 5 pounds
= $3.80 per pound
Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:
The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased
= $16 / 4 pounds
= $4.00 per pound
Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.
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if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
Answer:
35ft squared
Step-by-step explanation:
First lets try solving the rectangular middle part
Width is 3 ft
Height is 5ft + 4ft = 9ft
3*9ft= 27ft. This is area of middle rectangular section
For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.
11-3=8
8/2=4
Triangle area formula = Base*Height / 2
4*4/2
16/2
4ft squared
and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up
27ft+4ft+4ft=35ft squared
35ft squared is the answer.
Hope this helps :)
Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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Please see pictures for questions
Answer:
Step-by-step explanation:
Y WILL BE 11 THATS ALL I KNOW
Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.
The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.
Let s represent the cost of the shoes.
Now, equation is
8% of s=10
8/100 ×s=10
0.08s=10
s=10/0.08
s=$125
Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
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A triangle with a base length of 8 cm is reduced to a triangle with a base length of 4 cm. What
scale factor was used?
can someone help me please
Answer:
Step-by-step explanation:
-1 +2=1
2+2=4
5+1=6
y
What is the equation of the circle shown in the graph?
v)2 +
10
8
61
4
2
X
18 8 6
2 4 6 8 10
-2
-6
-10
Answer:
(x+6)^2 + (y-4)^2=36
Step-by-step explanation:
E2020
encircle the number that are divisible by 2 a.4224 b.3012 c.8817 d. 10172
Answer:
a,b,c are divisible by 2
What is arcsin(13/24)
Please help answer do in 30 minutes
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
Marina, everyone has a tough time with this type of math problem, just send me a note if you get stuck on these. :P
You're given two points,
P1 = (-4,8) in the form (x1,y1)
P2 = (1,3) in the form (x2,y2) ( I made the forms, so can you )
slope = m
m = (y2-y1) / (x2-x1)
m = (3-8) / ( 1 - (-4))
m = -5 / (1 + 4)
m = -5 / 5
m = -1
now use the point-slope formula
y-y1=m(x-x1)
y-(8) = -1(x-(-4))
y-8 = -1(x+4)
y-8 = -x -4
y = -x-4+8
y = -x +4
That's the equation :P
PLEASE ANSWER ASAP NO LINKS OR WILL BE REPORTED! 3. The measure of side c is 100 inches. The measure of side a is 75 inches. What is the length of side b? SHOW ALL OF YOUR WORK Answer:
Answer:
66.14inches
Step-by-step explanation:
pyhtgreom therom
75^2+b^2 = 100^2
5625 + b^2 = 10,000
subtract both sides by 5625
b^2 = 4375
square root both sides
b = 66.14
Question
A scientist wants a 90 ounce acid solution with a concentration of 12%. She has concentrations of 8% and 18%. How
much of each solution must she use to get the desired concentration?
On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
12% of 90 = 12/100 X 90
= 0.12 X 90 = 10.8
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The sides of a whiteboard are 16 inches by 10 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?
Answer:
40 Post-it notes
Step-by-step explanation:
10/2 = 5 on the side that measures 10"
16/2 = 8 on the side that measures 16"
5 x 8 = 40 post-it notes
Answer:
40
Step-by-step explanation
area of whiteboard is [tex]160 inches^{2}[/tex]
area of post it is [tex]4 inches ^{2}[/tex]
160/4 is 40 post it notes
A 50 Gram Sample of a substance that used to treat thyroid disorders has a K-value of 0.1113. What is the half life? thanks
The half life of the iodine is obtained as 6.2 s.
What is the half life?
Let us recall that the half life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.
Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;
Half life = 0.693/K
Half life = 0.693/0.1113
Half life = 6.2 s
It would have the half life about 6.2 s.
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the circles with the centre at P and Q are such that each passes through the centre of the other. the circle intersect at points R and S as shown
what is the measure of ∠PRQ
a.45⁰
b.50⁰
c.60⁰
d.90⁰
Answer:
C) 60°
Step-by-step explanation:
Each side of the triangle is a radius of the circle. Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.
Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.
Pls help I will mark u what ever you want
Answer:
1.) True
2.) True
3.) False
4.) True
Hope this helps!
Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20
☐
A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT
Choices that is equivalent to the expression √5. √20 is 5.2
Define equivalence.In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
x= (5)^1/2*(20)^1/2
x= (5)^1/2*(2.2.5)^1/2
x=5.2
So B is the correct option.
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Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer
Step-by-step explanation:
B.12x + 1
if it helps brainiest lol
I'm not sure what I did wrong here, I only have one try at this question, please help!
Someone please help. This is Delta Math
Answer:
uyt6?
Step-by-step explanation:
What is the diameter of a sphere with a volume of 18174 ft^3 to the nearest tenth of a foot?
Answer:
Diameter = 33 feet
Step-by-step explanation:
Diameter = 2 x radius
Given that the volume = 18174 [tex]ft^{3}[/tex], then;
Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Thus,
18174 = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]r^{3}[/tex]
= [tex]\frac{88}{21}[/tex] [tex]r^{3}[/tex]
18174 x 21 = 88 [tex]r^{3}[/tex]
381654 = 88 [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = [tex]\frac{381654}{88}[/tex]
= 4336.9773
r = [tex]\sqrt[3]{4336.9773}[/tex]
r = 16.3078
The diameter of the sphere = 2 x 16.3078
= 32.6156
= 33 feet
Use Exponential Functions
From the table below, determine whether the data shows an exponential function. Explain why or why not.
a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
c. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor 2.
Please select the best answer from the choices provided
Answer:
C. No; there is no relationship between the x value and its corresponding y value.
Step-by-step explanation:
I calculated it logically
Answer:
The correct answer c. No; there is no relationship between the x value and its corresponding y value
PLZ HELP I WILL GIVE YOU POINTS PLZ!!!
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table.
Anwnser:
1...3
Step-by-step explanation:
i dont know how to explain Hope it helps
Answer:
hi
Step-by-step explanation:
4 0 8 9
5 2 5
6 4
7 0 1 2 2 8 8 9
8 7 9
The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and .
To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.
In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
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Can you please help me
Answer:
10/50 = 20/100
Step-by-step explanation:
Another way to represent this formula is:
[tex]\frac{is}{of} = \frac{percent}{100}[/tex]
Allow me to explain this to you.
What is 20% of 50?
"WHAT IS"
"20% (PERCENT)"
"OF 50"
[tex]\frac{x}{50} =\frac{20}{100}[/tex]
The variable, x, was used to replace the unknown value, which is 10.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.
At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:
[tex]H_0: \mu = 410[/tex]
At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:
[tex]H_0: \mu < 410[/tex]
Type of test:
As we test if the mean is less than a value, we have a left-tailed test.
We have the standard deviation for the sample, which means that the t-distribution is used.
We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.
Using a calculator, the critical value is [tex]t_c = -1.721[/tex]
Determine the decision rule for rejecting the null hypothesis.
We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
Brenden bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06 how much in total did he pay
Answer:$5.07
Step-by-step explanation:you are welcome
Brendon paid $5.075 in total.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, Brendon bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06
The total he pay =
= 7% of 4.06 + 18% 0f 4.06 + 4.06
= 0.2842+0.7308+4.06
= 5.075
Hence, Brendon paid $5.075 in total.
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Select all of the true statements below.
1.) 8u+3v+5 is written as a sum of three terms.
2.)8u is a coefficient.
3.)8u and 5 are like terms.
4.)5 is a constant.
5.) 8u is a factor.
6.)None of these are true.
the true statements for 8u + 5 + 3v are:
1.) 8u+3v+5 is written as a sum of three terms.
4.)5 is a constant.
What is constant?The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.
an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.
a function with a constant value (i.e., a constant function).
These constants are frequently represented by a variable that is independent of the main variable or variables in question.
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