Answer:
78°F
Step-by-step explanation:
75.5°F on Saturday...
75.5 + 6 = 81.5 on Sunday
81.5 - 3.5 = 78°F on Monday
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Temperature:
Saturday = L= 75.5°F ______(1)
Sunday = M = Rose by 6°F
M = L + 6 _____(2)
Monday = N = Dropped by 3.5°F
N = L + 6 - 3.5 _____(3)
The expression that represents the temperature change:
From (1), (2), and (3) we get
N = L + 6°F + 3.5°F
The temperature on Monday:
N = 75.5 + 6 + 3.5
N = 85°F
Thus,
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
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19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
Combine like terms to
simplify the
expression below.
5 + 2b - 2.
=
[?]b + +
Answer:
[tex]\boxed{\sf{2b+3}}[/tex]
Step-by-step explanation:
In order to solve this problem, first you need to simplify the expression to use a distributive property.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
5+2b-2
Switch sides.
2b+5-2
Combine like terms.
You have to subtract by the numbers from left to right.
Solve.
5-2=3
2b+3
So, the correct answer is 2b+3.I hope this helps you! Let me know if my answer is wrong or not.
Marcelle and Amia each buy two “Treat Dispenser” shirts from Ava’s website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders?
Answer: Amia is correct
Step-by-step explanation:
the total bill would be $46.82
A circular clock has a circumference of 27 inches. Find the approximate diameter of the clock. Use 3.14 for π . Round to the nearest hundredth if necessary.
Answer:
8.60 inches
Step-by-step explanation:
The equation for circumference is 2πr. So we can solve for r (radius).
27inches=2πr
divide both sides by 2π :
r=4.299
The equation for diameter is 2*r so we just multiply
4.299 *2 = 8.598
since we have to round to the hundredth place the answer would be
8.60
The approximate diameter of the circular clock is 8.60 inches.
What is Circumference of a Circle?Circumference of a circle is defined as the total length of the boundary of the circle.
The concept is same as the perimeter for straight sided figures.
Given that,
Circumference of the clock = 27 inches
The formula to find the circumference is,
C = 2πr
where r is the radius.
2r is the diameter.
2πr = 27
2r = 27 / 3.14
2r = 8.5987 ≈ 8.60
Hence the diameter of the clock is 8.60 inches.
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A year has four seasons. What is the probability that a day chosen at random will be in the spring?
Answer:
1/4; 25%
Step-by-step explanation:
if a year has four seasons we can say that there are 4 possibilities
spring appears once
this means that the probability that a day chosen at random will be in spring would be 1 out of 4
or 25%
Write an equation for the hyperbola that satisfies the given set of conditions.
Vertices (20,0) and (-20,0) conjugate axis of length 18 units.
The vertices of the hyperbola are the x-intercepts of the hyperbola
The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
How to determine the equation of the hyperbola?The equation of a hyperbola is represented as:
[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]
The vertices are (20,0) and (-20,0).
So, the center of the hyperbola is:
(h,k) = (0,0).
Also, we have:
a = 20
This gives
[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]
Evaluate
[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]
Substitute 20 for a
[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]
The length of the conjugate axis is:
l = 18 units
So, we have:
[tex]b = \frac{18}2 = 9[/tex]
The equation becomes:
[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
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Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.
Answer:
7.5 minutes
Step-by-step explanation:
90 seconds is equivalent to 1.5 minutes
1.5×5=7.5
WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.
Answer:
120
Step-by-step explanation:
we go add 3+1=4 and then 4×3=12 and then 12×10=120
Please help me this is due in 20 mins
Answer:
35cm
120cm^2
Step-by-step explanation:
Answer:
1. The perimeter of figure a is 36 cm.
2. The area of figure a is 60 cm².
3. The perimeter of figure b is 14.25 in.
4. The area of figure b is 7.031 in².
If it's wrong tell me
2 is multiplied by the difference of a number and 4.
Answer:
x=3
Step-by-step explanation:
4(x-2)=4. divide both sides by 4
x-2=1. add 2 to both sides
x=3
Answer:
2(x-4)
Step-by-step explanation:
* means multiplied by
2 is multiplied by the difference of a number and 4
multiplied by separates
2 AND "by the difference of a number and 4"
"by the difference of a number and 4" is in a parenthesis
"a number" means x
"the difference" means minus or -
2 is multiplied by the difference of a number and 4 =
2 * (x-4) =
2(x-4)
683+1738x175220=
Chose you answer:
304533043. 194739421. 345802178. 643221. 24753
I need help please give correct answer
12. You have $10 to spend on charms and stickers. The equation
0.5x + 0.25y = 10 represents this situation, where x is the number
of charms and y is the number of stickers. How many stickers can
you buy when you do not buy any charms?
Answer:
40
Step-by-step explanation:
the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers
10/.25=40
hope this helps
a snowboard originally cost $230. the sport’s store is having a sale of 10% off of items less than $100 and 20% off of items above $100. the sales is 12%. what is the final price for the snowboard, including tax?
well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]
now let's apply as 12% tax on that sale amount
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]
PLEASE HELP ASAP
10. Mike and Pete together have $84.00. If Mike has $24.00,
what is the ratio of Pete's amount to Mike's amount?
Answer:
2.5
Step-by-step explanation:
Let M and P stand for the money that Mike(M) and Pete(P) have.
We discover that M + P = $84.00
We also find that M = $24.00
This means that :
M + P = $84.00
$24.00 + P = $84.00
P = $60.00
The ratio of P to M is ($60.00/$24.00) or 2.5 (P/M - 2.5)
can anybody please help me with this math problem?
Answer:
B. (15, 19)
Step-by-step explanation:
To check to see if a particular ordered pair is a solution to an equation, use the values for the variables and see if the equation is true.
A. 4/5(0) +7 = 7 ≠ 1
B. 4/5(15) +7 = 19 . . . . . . is a solution
C. 4/5(-5) +7 = 3 ≠ 11
D. 4/5(-2) +7 = 27/5 ≠ 1
__
A calculator can help with this.
Which trig ratio will be helpful in finding the missing side length sin(24)
The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have a right-angle triangle in the figure in which:
Length of the hypotenuse = x unit
Length of the side opposite to the angle = 12
And the angle is given between sides adjacent to the angle to the hypotenuse = 24°
We know the:
[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]
[tex]\rm sin24 = \frac{12}{x}[/tex]
[tex]\rm x = \frac{12}{sin24}[/tex]
x = 29.50 units
Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
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2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129 Median: Q1 Q1: IQR: Outliers:
Answer: Heyo! ;D
I think I know how to solve this...
Let me know it this helps out in any way. :D
Median: "To find the median, first you need to list them in order from least to greatest:"
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
"Now, you count starting from both ends and count to the middle. In this case, 51 and 72 are both the medians. However, there can be only one remaining median. So, what we do is add 51 to 72, then divide the sum by 2 to end with the correct median:"
72 + 51 = 123
123 / 2 = 61.5
Outliers: "All are in a pattern, beside the one number that stands out as the outlier in the given list of numbers. 129 is the only number that isn't in sync with the pattern, hence meaning this is the outlier in the sequence of numbers above."
~Artastic~
A small class has 9 students, 3 of whom are girls and 6 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your ansuer as a fraction in simplest form.
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (−3, −5), because the point does not lie on any axis b (−3, −5), because the point satisfies both equations c (−4, −8), because the point satisfies one of the equations d (−4, −8), because the point lies between the two axes
The solution to the system of equations is (-3, -5) because the point satisfies both equations
What is a linear function?A linear function is in the form:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept
Line A:
y = x − 2 (1)
Line B:
y = 3x + 4 (2)
Solving both equations simultaneously gives:
x = -3, y = -5
The solution to the system of equations is (-3, -5) because the point satisfies both equations
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If 0 is an angle in quadrant II, what is the value of cos0?
in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus
[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
The decimal value of 5/8
0.625
Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.
Dividing 5/8, It's Equal To 0.625
Step-by-step explanation:
5/8 = O.625
PLEASE ACTUALLY HELP AND NOT JUST ANSWER CUZ YOU WANT POINTS! Can you please write the inequalities in algebraic form. EX: the sum of 92 and Z is less than 100 90+Z < 100
1. 24 less than Z is less than 12
2. the difference when you subtract 12.65 from A is less than or equal to 26,000
3. 999 less than Z is less than 500
4. the product of -10 and X is 25 or more
5. f minus -1 is less than 0
6. Y over 14 is 0.5 or more
Answer:
1. Z-24 < 12
2. A-12.65 ≤ 26,000
3. Z-999 < 500
4. -10x ≥ 25
5. f - -1 < 0 or f+1 < 0
6. y/14 ≥ 0.5
solve pls brainliest
Answer:
[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]
The first one: 3
The second one: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
To find the common numerator, you can multiply by 3 on both the numerator and denominator.
Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?
Answer:
2:4
Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry
Choose the correct simplification of the expression f4 • f8. f2 f4 f12 f32
Answer:
f^12
Step-by-step explanation:
f^4 * f^8
We that a^b * a^c = a^(b+c)
f^(4+8)
f^12
Hello!
We have the following expression:
[tex]\bf{f^4*f^8}[/tex]
Recall the Properties of Exponents:
[tex]\bold{a^ma^n=a^{m+n}}[/tex]
According to the property, if we have the same bases multiplied together, then we just add their exponents:
[tex]\bf{f^4f^8=f^{4+8}}[/tex]
Simplify:
[tex]\bf{f^{12}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
[tex]\rule{2}{2}[/tex]Knowledge is Power!
What is the solution to the
equation log, (2x - 3) = -1?
Round to the nearest thousandth.
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log(2x - 3) = - 1[/tex]
[tex]\qquad \sf \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 0.1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3.1 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1.55[/tex]
The _____ between two points is the length of the line segment joining the points.
A. linear pair
B. angle
C. distance
D. midpoint
E. bisector
Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years
Answer
The population of the city in 24 years will
be approximately 2,024,467.3206337208
What is the population in 24 years?
The formula for calculating future value:
Population:- 2,024,466