Yes, (3,-1) is a solution to the graphed system of inequalities.
What are system of inequalities?When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).
So, the point will be a solution also because it lies in the shaded region.
Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.
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Help please! sssssssssssssss
Answer:
UT=17 because both UT and RU are the same length, same with QU and US
Step-by-step explanation:
Can someone help me on this i am stuck on it thanks
Answer:
36
Step-by-step explanation:
Given:
A kitchen shop sells bowls in sizes small, medium and large.Draw a Venn diagram with 3 intersecting circles. Label each circle:
S = small bowlsM = medium bowlsL = large bowls----------------------------------------------------------------------------------------------
Given:
5 people bought all three sizes of bowl.Enter "5" in the central overlapping section of the Venn diagram.
----------------------------------------------------------------------------------------------
Given:
7 people bought a small bowl and a large bowl.We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):
⇒ 7 - 5 = 2
Enter "2" in the section S and L but not M.
----------------------------------------------------------------------------------------------
Given:
In total, 27 people bought a small bowl, of which 12 also bought a medium bowl.First, calculate the number of people who bought only a small and medium bowl (but not a large bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 12.
Enter "7" in the section S and M but not L
A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:
⇒ 27 - 5 - 2- 7 = 13
Enter "13" in the S only section.
----------------------------------------------------------------------------------------------
Given:
In total, 66 people bought a medium bowl, of which 15 also bought a large bowl.First, calculate the number of people who bought only a large and medium bowl (but not a small bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 15.
Enter "10" in the section M and L but not S
A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:
⇒ 66 - 5 - 7 - 10 = 44
Enter "44" in the M only section.
----------------------------------------------------------------------------------------------
Given:
On a given day, 100 people each bought at least one bowl from the shop.To find "L only" subtract all the known numbers from 100:
⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19
Enter "19" into the L only section.
----------------------------------------------------------------------------------------------
Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:
⇒ 2 + 5 + 10 + 19 = 36
joe has dime and nickels in his piggy bank totaling $1.45 the number of nickels he has is 5 more than twice the number of dimes , d . which equation could be used to find the number of dimes he has ?
The expression 0.3d = 0.95 could be used to find the number of dimes he has.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have joe who has dime and nickels in his piggy bank totaling $1.45 the number of nickels. He has is 5 more than twice the number of dimes [d].
We can write the the number of nickels as -
[n] = 2d + 5
0.1d + 0.1(2d + 5) = 1.45
0.1d + 0.2d + 0.5 = 1.45
0.3d = 0.95
Therefore, the expression 0.3d = 0.95 could be used to find the number of dimes he has.
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What is 20 ml to tbsp
20 milliliters is equal to 1.352037 tablespoons. To convert any amount of milliliters to tablespoons, simply divide the volume in milliliters by 14.7867648.
A milliliter (mL) is a unit of volume in the metric system. It is equal to one cubic centimeter (cc). One tablespoon (tbsp) is equal to 14.7867648 milliliters (mL). To convert 20mL to tablespoons, we can use the formula:
Tablespoons = milliliters ÷ 14.7867648
To calculate the number of tablespoons, we divide 20 by 14.7867648.
Tablespoons = 20 ÷ 14.7867648
Tablespoons = 1.352037
Therefore, 20 milliliters is equal to 1.352037 tablespoons. To convert any amount of milliliters to tablespoons, simply divide the volume in milliliters by 14.7867648.
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Cos18degree=sin____degree
Answer: 72
Step-by-step explanation:
Cos 18 degrees = 0.951...
Sin -1 (0.951) = 72
So the answer is 72 degrees.
Please help. Stuck on question
Answer:
1.6 feet
Step-by-step explanation:
A well-defined collection of objects is called a set.
True or false
Answer:
true
Step-by-step explanation:
If g(x) is the inverse of f(x) and f(x) = 4x+12, what is g(x)?
g(x) = 12x + 4
g(x) = 1/4x-12
g(x) = X-3
g(x) = 1/4x -3
Answer:
D
Step-by-step explanation:
y=4x+12
x=4y+12
x-12=4y
1/4x-3
What calculation estimates the primary macronutrient the body uses for energy at a given point in time?
The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.
What is the Catabolic quotient?The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.
This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.
Options for this question are:
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Does (–1, 0) make the equation y = 5x + 5 true?
Answer:
I do not know
Step-by-step explanation:
I do not know
Determine the frequency of each class in the table shown. Number of Candles in a Glass Jar Class Frequency 1003 1062 1063 1122 1123 1182 1183 1242 1243 1302 1303 1362
The frequency of a class is the number of data points that fall within the class is 1.
To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.
For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.
For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.
For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.
For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.
For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.
For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.
For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.
For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.
For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.
For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.
For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.
For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.
Therefore, the frequency of each class in the table shown is 1.
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the altitudes of a triangle intersect at the______
Answer:
the altitudes of a triangle intersect at the "orthocenter".
Step-by-step explanation:
The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.
Simplify the ratio 18ml:24ml:42ml
Answer: 3ml:4ml:7ml
Step-by-step explanation: To simplify ratios you have to find the highest number that you can divide all the parts in the ratio by (AKA as highest common factor)
In this case the common factor of 18,24 and 42 is 6.
so now divide all the parts by 6:
18/6=3
24/6=4
42/6=7
finally put these numbers back into the correct ratio format and for this question put on the units.
final answer= 3ml:4ml:7ml
Six equal blocks have a total mass of b kg. What is the mass of each block?.
A boy takes 90 minutes to walk from home to school His school is 1,8km away Calculate the speed he walks
Answer:
The boy walks 1,2km/h
PLEASE HELP WILL GIVE BRAINIEST!!! Alex has 25 red, yellow, and orange stress balls. He has twice as many red stress balls as yellow stress balls and three fewer orange stress balls than yellow stress balls. Write and solve an equation to determine how many of each color stress ball alex has.
Answer: O- 9.5 Y- 12.5 R-25
Step-by-step explanation: Divide 25 by 2 and 12 goes into 25 twice for 24, and then you would be left with 60 and 12x5=60 so you get 12.5 for Yellow then you would subtract 3 from 12.5 for 9.5 for Orange. Tell me if theirs anything you dont understand.
The vertices of a triangle are A(-2, 0), B(0, 3), and C(2, 2). Draw the figure
and its image after the translation. Draw Translation 1 and 2 on the following grid.
Answer:
Step-by-step explanation:
A group
of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?
i got the same question the answer 245≥25.75+9.25p Step-by-step explanation:
Please help me with these questions!! this is due at 11:59 pm EST. If you could explain how you got your answers too, that would be so helpful!! (please show your work)use the right triangle ️RST and the given information to solve each problem. 7. Find TM if RM = 4 and MS = 9 8. Find RT if RS = 20 and RM = 8 9. Find TS if RM = 5 and MS = 7 10. Find RT if RM = 1/2 and MS = 1/4 thank you so much if you can help me!!
We can make a drawing to see better:
7) We know that RM = 4 and MS = 9, so:
\(\begin{gathered} \tan a=\frac{MS}{RM}=\frac{TM}{MS} \\ TM=\frac{MS^2}{RM}=\frac{9^2}{4}=\frac{81}{4}=20.25 \end{gathered}\)The answer is TM = 20.25
8) We know that RS = 20 and RM = 8, so:
\(\begin{gathered} \sin b=\frac{RM}{RS}=\frac{RS}{RT} \\ RT=\frac{RS^2}{RM}=\frac{20^2}{8}=\frac{400}{8}=50 \end{gathered}\)The answer is RT = 50.
9) We know that RM = 5 and MS = 7, so:
\(\begin{gathered} \tan b=\frac{RM}{MS}=\frac{RS}{TS} \\ TS=RS\cdot\frac{MS}{RM} \\ RS=\sqrt[]{RM^2+MS^2} \\ TS=\sqrt[]{RM^2+MS^2}\cdot\frac{MS}{RM} \\ TS=\sqrt[]{5^2+7^2}\cdot\frac{7}{5}=\sqrt[]{25+49}\cdot\frac{7}{5} \\ TS=\sqrt[]{74}\cdot\frac{7}{5}\approx12.043 \end{gathered}\)The answer is TS = 12.043
10) We know that RM = 1/2 and MS = 1/4, so:
\(\begin{gathered} \sin b=\frac{RM}{RS}=\frac{RS}{RT} \\ RT=\frac{RS^2}{RM}=\frac{RM^2+MS^2}{RM} \\ RT=\frac{(\frac{1}{2})^2+(\frac{1}{4})^2}{\frac{1}{2}}=2\cdot(\frac{1}{4}+\frac{1}{16}) \\ RT=2\cdot\frac{4+1}{16}=\frac{5}{8}=0.625 \end{gathered}\)The answer is RT = 5/8 = 0.625
HELP!!! WILL GIVE BRAINLIEST!!!!
Answer:
c. 12
Step-by-step explanation:
Find the value of x. 2 3 6
a circle centered at the origin has a radius of 12. What is the equation of the circle?
After looking through the sentence comparison examples, what do you think the guidelines are that tell you when to use the different forms of you?" Write down your thoughts about this grammar principle. Specifically, write down a "rule" that you think Spanish uses to explain the difference between tú and usted. Then check out the grammar pattern in the next link to see if your hunch was correct
The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.
To find the equation of the circle, we use the standard form of the equation of a circle, which is:
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the center of the circle, and r is the radius.
In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:
(x - 0)² + (y - 0)² = 12²
Simplifying, we get:
x² + y² = 144
Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.
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Prove for all real numbers x and y, if x − ⎣ x ⎦ ≥ y − ⎣ y ⎦ then ⎣ x − y ⎦ = ⎣ x ⎦ − ⎣ y ⎦ .
Prove for all real numbers x and y, if
\(x − ⎣x⎦ ≥ y − ⎣y⎦ then ⎣x − y⎦ = ⎣x⎦ − ⎣y⎦.\)
Given :
\(x − ⎣x⎦ ≥ y − ⎣y⎦\)
To Prove :
⎣x − y⎦ = ⎣x⎦ − ⎣y⎦.
Proof :
Let\(A = ⎣x⎦, B = ⎣y⎦, C = ⎣x − y⎦.\)
Since A ≤ x < A + 1,
we have
A − B ≤ x − y < A + 1 − B
This implies that C = ⎣x − y⎦ lies between A − B and A + 1 − B;
that is, A − B ≤ C ≤ A + 1 − B.
But the only integers that lie between A and A + 1 are A itself and A + 1.
Therefore, either
C = A or C = A − 1 or, equivalently,
\(⎣x − y⎦ = ⎣x⎦ or ⎣x − y⎦ = ⎣x⎦ − 1,\)
but in the second case, we have
⎣x⎦ − ⎣y⎦ > x − y, which contradicts the assumption that
\(x − ⎣x⎦ ≥ y − ⎣y⎦.\)
Hence,\(⎣x − y⎦ = ⎣x⎦ − ⎣y⎦\)
for all real numbers x and y, if
\(x − ⎣x⎦ ≥ y − ⎣y⎦.\)
Therefore, the given statement is proved.
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For two acute angles ∠E and ∠F, cos(E)=sin(F). Let m∠E=(8x–12)° and m∠F=(6x–10)°. What is m∠F, in degrees?
Answer:
If cos(E) = sin(F), then we know that m∠E + m∠F = 90 degrees (since E and F are acute angles).
We are given that m∠E = (8x - 12) degrees, and we want to find m∠F.
We can substitute the given value of m∠E into the equation m∠E + m∠F = 90 degrees, and solve for m∠F:
(8x - 12) + m∠F = 90
m∠F = 78 - 8x
So the measure of angle F is 78 - 8x degrees.
We are also given that m∠F = (6x - 10) degrees. So we can substitute this value into the equation we just found:
m∠F = (6x - 10) = 78 - 8x
We can now solve this equation for x:
6x - 10 = 78 - 8x
14x = 88
x = 6
So we know that x = 6.
Now we can substitute this value back into the equation m∠F = (6x - 10) to find the measure of angle F:
m∠F = (6x - 10) = (6 * 6) - 10 = 24 degrees
So the measure of angle F is 24 degrees.
A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. What was the value of sales? The value of sales was $ _______.
A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.
To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.
Value of sales = Total cost of good A + Total cost of good B Total cost of good A
= Number of units of good A sold x Cost of each unit of good A Total cost of good A
= 120 x $4Total cost of good
A = $480
Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good
B = 340 x $5
Total cost of good B = $1,700
Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700
Value of sales = $2,180
Therefore, the value of sales was $2,180.
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In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is that the student has blonde hair, it is that the student has brown hair, it is that the student has black hair, and it is that the student has red hair.
Answer:
In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is
unlikelythat the student has blonde hair, it is
neither likely nor unlikelythat the student has brown hair, it is
unlikelythat the student has black hair, and it is
unlikelythat the student has red hair.
Answer:
In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is
unlikely
that the student has blonde hair, it is
neither likely nor unlikely
that the student has brown hair, it is
unlikely
that the student has black hair, and it is
unlikely
that the student has red hair.
Step-by-step explanation:
5. Shane has a winning lottery ticket. He gives
some money to his daughter, some money to
charity invests the rest, in the ratio 3:1:11
He gives £9000 to his daughter.
Work out how much money he invests ?*
Answer:
£33,000
Step-by-step explanation:
The money he gives to his daughter is represented by the 3 in the ratio so you divide £9000 by 3 to get £3000
The money he invests is represented by 11 in the ratio so you multiply £3000 by 11 to get £33,000
Hope this helps! :)
An angle is measured 9 more than two times the measure of its supplement. find the measure of both angles.
Answer:
Step-by-step explanation:
Givens
Let the angle = x
Let it's supplement = 180 - x
Equation
x + 9 = 2*(180 - x) Remove the brackets
Solution
x + 9 = 360 - 2x Add 2x to both sides
x + 2x + 9 = 360 - 2x + 2x Combine
3x + 9 = 360 Subtract 9 from both sides
3x + 9-9 = 360-9 Combine
3x = 351 Divide both sides by 3
3x/3=351/3
x = 117
Answer
Given angle = 117
Supplement = 180 - 117 = 63
I don’t know how to do this
Answer:
c
Step-by-step explanation:
Major helppp plz……….
arctan(√3)=60∘ or π3 radians