The double number line shows the number of children 1 adult supervises on a field trip. Adults Children Complete the table to show the same information as the double number line: Adults Children 66 15 Nee'
Pls I really need help I'm not the well at math
The number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.
According to the question,
We have the following information:
1 adult supervises 6 children.
Now, for the first one, we have to find number of children to be supervised by 8 adults.
1 adult = 6 children
8 adults = 8*6 children
8 adults = 48 children
Now, for the second one, we have to find the number of adults for 66 children:
1 children = 1/6 adult
66 children = 66/6 adults
66 children = 11 adults
Now, for the third one, we have to find number of children for 15 adults:
15 adults = 15*6 children
15 adults = 90 children
Hence, the number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.
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Answer: First is 48 Second is 11 Third is 90
Step-by-step explanation: I did it on Khan ✔
If triangle RST is an equilateral triangle, what is the measure of angle STR
The measure of the angle STR is ∠STR = 60°.
What is an equilateral triangle?
An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.
Given data:
The given triangle RST is an equilateral triangle and we have to find out the measure of angle STR.
As the property of an equilateral triangle says that "All three internal angles are congruent to each other and are each 60°."
So we can say that the measure of the angle STR = 60°.
∠STR = 60°.
Hence, the measure of the angle STR is ∠STR = 60°.
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Select the values that make the inequality k ≤ 6 true.
(Numbers written in order from least to greatest going across.)
The values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
We are given an inequality. The inequality is k ≤ 6. We are also given several values for the variable "k". We need to select the values that satisfy the inequality and make the inequality true. The values given to us are -2, 1, 3, 5, 5.9, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, and 14. According to the given inequality, the values that are less than or equal to six will satisfy the inequality, and other values will not hold true. The values smaller than or equal to six are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6. Hence, the values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
The image of the complete question is attached below.
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The floor of a storage unit is 9 meters long and 12 meters wide. What is the distance between two opposite corners of the floor
The distance between two opposite corners of the floor is 15.
What is the Diagonal of a Rectangle?
A line segment that connects any two of a rectangle's non-adjacent corners is said to be it's diagonal.
The formula for calculating a rectangle's diagonal length (d) is
[tex]d = \sqrt{l^{2} + w^{2} }[/tex]
where,l = length of the rectangle
w = width of the rectangle
Given, the length of floor (l) = 9 meters
width of the floor (w) = 12 meters
Then, diagonal, [tex]d = \sqrt{l^{2} + w^{2} }[/tex]
or, [tex]d = \sqrt{9^{2} + 12^{2} }[/tex]
or, [tex]d = \sqrt{81 + 144 } = \sqrt{225} = 15[/tex]
Hence, the distance between two opposite corners is 15.
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
145.85°
57.45°
34.15°
72.925°
Answer:
(d) 72.925°
Step-by-step explanation:
You have congruent angles P and Q in triangle PQR, where angle R measures 34.15°. You want to know the measure of angle P.
Angle sum theoremThe angle sum theorem tells you the sum of angles in a triangle is 180°.
P +Q +R = 180°
P +P +34.15° = 180° . . . . . substitute equivalents
2P = 145.85° . . . . . . . . . subtract 34.15°
P = 72.925° . . . . . . . . divide by 2
The measure of ∠P is 72.925°.
A piece of manufacturing equipment can produce enough items to fill an order
in 10 hours. If an auxiliary piece of equipment is used also, it will take 7 hours
How long would it take the auxiliary equipment to fill the order working alone
It take the auxiliary equipment to fill the order working alone x is 70/3
How long would it take?Formulate based on the conditions stated:
10 * x/(10+x) = 7
In a defined fraction, the denominator cannot be zero.
10+x is not equal 0
Equation from inequality:
10+x=0
Unknown terms should be moved to the left side of the equation:
x = -10
Equation to inequality conversion
x is not equal to 10
As the domain, append the inequality:x is not equal to 10
Divide the common denominator by both sides of the equation:
10x(10+x)/10+x = 7(10+x)
Cut the fractions in half:
10x = 7(10+x)
Use the law of multiplicative distribution
10x = 70 +7x
Unknown terms should be moved to the left side of the equation:
10x-7x=70
combining similar terms 3x =70
Subtract the coefficient of the variable from both sides of the equation:
x = 70/3
the intersection, then: 70/3
get the outcome:x = 70/3
It take the auxiliary equipment to fill the order working alone x is 70/3
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Find the slope of a line
that is PARALLEL
to
v=1/x-7
y
Answer:
x4.2
Step-by-step explanation:
PLEASE HELP AND ANSWER THESE QUESTIONS IN DEPTH, WILL GIVE MAX POINTS!!
please go over how you get these answers and explain for 23 and 24
23.
f(x) is just a function in terms of x.
where it says 4f(2) all that means is 4 times the function when x is 2.
To work it out, you just need to swap all xs with 2 and calculate what that is. That gives you f(2), then multiply that answer by 4 to get 4f(2)
Same thing for g(x). First step swap xs for 6 to get g(6) then multiply answer to get 6g(6). At that point, you should have 2 numbers with no x's and you can minus the f by g.
24. Is about compound interest which means that after each year a new amount is worked out rather than a flat amount for the whole 8 years.
2 ways to tackle it, you could work out 8% of each year but that would require you to work it out 8 times which is time consuming and possible to make errors.
2nd way is much easier in that regard.
Final Answer = Initial Amount * (1 + interest rate)^amount of years.
Answer = 5000*(1+0.08)^8
How do I find the new scale factor?
The coordinates of the triangle before and after transformations is below
preimage image (dilation) image (translation)
D (3, -1) D' (12, -4) D''(4, -8)
E (2, 0) E' (8, 0) E''(0, -4)
F (1, -2) F' (4, -8) F''(-4, -12)
How to find the coordinates of the imageDilation is a method of transformation that magnify or shrink the preimage depending on the scale factor
The transformation rule for dilation is as follows
(x, y) for a scale factor of r → (rx, ry)
The translation is down 4 units and left 8 units, the transformation rule is
(x, y) → (x - 8, y - 4)
The transformation rule is applied as shown
preimage image (dilation) image (translation)
D (3, -1) → (3 * 4, -1 * 4) → D' (12, -4) → (12 - 8, -4 - 4) → D''(4, -8)
E (2, 0) → (2 * 4, 0 * 4) → E' (8, 0) → (8 - 8, 0 - 4) → E''(0, -4)
F (1, -2) → (1 * 4, -2 * 4) → F' (4, -8) → (4 - 8, -8 - 4) → F''(-4, -12)
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ZA and B are supplementary angles. If mA (x - 9)° and
m/B= (7x + 21)°, then find the measure of ZB.
The measurement of ∠B is 168°
Given,
In the question:
Angle A and Angle B are supplementary angles.
If mA (x - 9)° and m/B= (7x + 21)°
To find the measure of ∠B
Now, According to the question;
What are supplementary angles?
Two angles are Supplementary when they add up to 180 degrees.
Now, ∠A+∠B = 180°
So,
⇒(x - 9)˚+(7x + 21)°=180°
=> 8x +12 = 180°
=> 8x = 180° - 12
=> 8x = 168
=> x = 168/8
=> x = 21
For the measure of ∠B :
∠B = (7x + 21)
∠B = 7 x 21 + 21
∠B = 168°
Hence, The measurement of ∠B is 168°
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if the scale factor of figure A to figure b is 4:5 find the value of x
Answer:
The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12
We are given the scale factor of figure A to figure B as 4:5.
By use of similar triangles theorem, we can deduce that the ratio of corresponding sides of figure A to corresponding sides of figure B must be equal to 4:5.
Now, looking at both triangles, we can say that;
x:15 = 4:5
Thus,we can write in fraction as;
x/15 = 4/5
x = 15 × 4/5
x = 12
In conclusion, the value of x from the given proportion between both triangles is 12.
Add (3 - 5i) (-2 8i). sum of real parts: sum of imaginary parts: i
The multiple of I is the imaginary portion. It is customary to write z = a + bi, where a represents the real part and b represents the imaginary part, to represent complex numbers. where b is the imaginary part and a represents the real part. Sum of Real parts and sum of imaginary parts i is (1 + 3i)
Explain about imaginary parts?A and b are referred to as the "real component" and "imaginary part," respectively, of the complex number z=a+bi. If a=0, the complex number is "purely imaginary," and if b=0, it is a real number.
Real components add up to 1, while imaginary parts add up to 3i.
A complex number is stated in its standard form as z = x + iy, where x represents the real part and y represents the imaginary part because it is connected to the imaginary axis.
Considering the formula (3 - 5i) + (-2 + 8i).
Collect similar phrases into real and fictitious parts as follows:
= (3 - 5i) + (-2 + 8i)
= (3 - 2 - 5i + 8i)
=(1 + 3i)
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please help me ill give brainiest
It is proved that ∠ADB ≅ ∠ADC using the SSS property of a triangle.
What are congruent triangles?The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same. They are identical in terms of both dimensions shape and size.
Given AB = AC
∠1 = ∠2
Consider, triangke BDC
If two angles are equal then their opposite sides are equal. Therefore,
BD = DC
Now consider triangles ADB and ADC
AB = AC (given)
AD = AD ( common)
DB = DC (sides of an isosceles triangle)
So, ΔADB≅ΔADC [SSS property]
Now, we can write ∠ADB ≅ ∠ADC.
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Find the value of r so the line that passes through the pair of points has the given slope.
(12, 10), (−2, r), m=−4
As per the slope intercept form, the value of r is 66.
Slope intercept form:
In order to find the slope intercept form, we have to use the formula,
y = mx + c
where
(x, y) refers the point
m refers the slope
c refers the y-intercept.
Given,
Here we have the pair of points (12, 10), (−2, r) and the value of slope which is m = -4.
Now, we need to find the value of r.
We know that the general form of the slope intercept form is
y = mx + c
First we have to use the slope and the point (12, 10), to find the intercept of the line,
So, we have to apply the value on the formula, then we get,
10 = -4(12) + c
10 = -48 + c
c = 58
So, the slope intercept form equation is
y = -4x + 58
In order to find the value of r, we have to apply the point (-2,r) on the equation, then we get,
r = -4(-2) + 58
r = 8 + 58
r = 66
Therefore, the value of r is 66.
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This image will be used for Part D. Question: Use the constraints of the real-world situation to predict the height of the baseball at 20 seconds. Select all that apply.
Options:
1. The height of the ball would be zero at 20 seconds.
2. The ball will be on the ground and 20 seconds.
3. The ball would bounce and go back to a height of 50 feet.
4. g(x) = 0.
5. there is not enough information to answer this question.
Tell me all the options like this: Option 1,2,4.
Step-by-step explanation:
the correct answer IS options 1, 2, 4.
the curve shows us that the ball hits the ground (height 0) at 12 seconds and then stays there.
so, at 20 seconds the height is 0, as the ball is on the ground, and so the functional result g(x) = 0.
actually that is g(20) = 0.
as g(x) gives us the height of the ball x seconds after throwing it out of the window.
although I have to say : the graph does not show us the situation at 20 seconds (it ends at 16 seconds). maybe somebody picks it up (so, it would move up again). we don't know.
so, there is some point for option 5.
but normally, we can say 1, 2, 4 are correct.
option 3 is definitely out, because the ball would not suddenly, after 8 seconds (from 12 to 20 seconds) flat on the ground, start bouncing again.
What number is represented by the expanded form shown? write the number in the place-value chart.
Using the conversion of expanded form, 7 comes tens place, 8 comes in ones place, 6 comes hundredth place after decimal and 3 comes thousandth place after decimal.
In the given question,
We have to check what number is represented by the expanded form.
The given expanded form is
70+8+6/100+3/1000
The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in. the quantity.
We have to check in which place what number comes.
Firstly we see the number 70. In the number we can see that 7 is in tens place. So in the chart in place of tens 7 come.
Now we can see that 8 is in ones place. So 8 comes in ones place in chart.
Now we check next number 6/100. As we can see that 6 is divide by 100 so it represent decimal value. Since it is divided by 100 so 6 comes in hundredth place after decimal.
Now we check number 3/1000. As we can see that 3 is divide by 1000 so it represent decimal value. Since it is divided by 1000 so 3 comes in thousandth place after decimal.
The completed chart is below.
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6. Calculate the volume of a cuboid with a square base
The base of the cuboid has an area of 25 cm²
The height of the cuboid is 7cm
Answer:
Step-by-step explanation:
Answer:
V = 175 cm³
Step-by-step explanation:
the volume (V) of a cuboid is calculated as
V = Ah ( A is the area of the base and h is the height )
here A = 25 and h = 7 , then
V = 25 × 7 = 175 cm³
10r minus 2r plus 4 minus 7r plus 3
The answer would be...
R + 7
Step-by-step explanation:
collect like terms
10r - 2r - 7r + 4 - 3 =
= r + 1
here I need it asap.....................
Answer: it's 72 (B)
Step-by-step explanation: that's what I put. It was correct
The maximum value of a linear objective function ____ occurs at exactly one vertex of the feasible region.
never
always
sometimes
The answer choice which should fill the blank in the task content is; Sometimes.
The maximum value of a linear objective function sometimes occurs at exactly one vertex of the feasible region.
Where does the maximum of a linear objective function exist?It follows from the task content that the maximum value of a linear function is established as occuring at the vertex of the feasible region; however, it is required to determine if this is always, never or sometimes.
When the graph of a system of inequalities, usually the constraint inequalities forms a region that is closed, the region is said to be bounded and the region is termed the feasible region as all constraints are satisfied in this region.
Furthermore, If the linear programming problem can be optimized, an optimal (minimum or maximum) value will occur at one of the vertices of the region representing the set of feasible solutions.
However, more than one vertex may produce the maximum value; hence, the correct answer choice is; sometimes.
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Pls someone help with calculations work out!
Answer:
1. [tex]3^{2} + 4^{2} = 9 + 16 = 25[/tex]
2. [tex]10^{2} + 8^{2} = 100 + 64 = 164[/tex]
3. [tex]13^{2} + 10^2=169+100=269[/tex]
4. [tex]20^2+5^2=400+25=425[/tex]
5. [tex]15^2-9^2=225-81=144[/tex]
6. [tex]17^2-10^2=289-100=189[/tex]
7. [tex]18^2-14^2=324-196=128[/tex]
8. [tex]20^2-12^2=400-144=256[/tex]
ƒ(x) = −x² – 10x – 9
Find ƒ(−1)
Answer: 0
Step-by-step explanation:
ƒ(x) = −x² – 10x – 9
Putting value of x as -1
the function is as followed:
ƒ(-1) = -(-1)^2 - 10 (-1) - 9
ƒ(-1) = -1 +10-9
ƒ(-1) = 9-9
= 0
the dashed line triangle is a dilation image of the solid lined triangle is the dilation an enlargement or a reduction? what is the scale factor of the dilation?
A. reduction; 1/4
B. Enlargement; 2
C. reduction; 1/2
D. reduction; 2
The dilation of the solid lined triangle is a reduction and the scale factor of the dilation is 1/2. Therefore, the correct answer option is: C. reduction; 1/2.
The rules for the dilation of a geometric figure.In Mathematics, the rules listed below should be applied in order to interpret and understand the dilation of a geometric figure:
A geometric figure is enlarged when the scale factor is greater than 1.A geometric figure is reduced when the scale factor is less than 1.A geometric figure remains the same when the scale factor is equal to 1.In this scenario, the dashed line triangle and solid lined triangle are similar based on the Angle Angle Angle (AAA) similarity property. Therefore, we have the following:
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 6/12
Scale factor = 1/2.
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 4/8
Scale factor = 1/2.
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I need this asap please 30 points + brainliest if its correct
The amusement park is offering tickets to a summer concert series. If you buy tickets to the first show for $25.00, then the tickets for each remaining concert are only $15.00 each. Tayah has $115.00 she can spend on tickets for the summer concert series.
Which inequality represents the the maximum number of concert tickets Tayah can buy for the reduced price of $15.00?
Answer: 25 + 15x
x = 6 tickets.
Step-by-step explanation:
First of all, we need to write an equation.
The equation will be x = $25 + $15x.
Now, we need to use trial and error. I'm going to try plugging in 9 into X because I know that 10 would be too big.
25 + 15(9)
25 + 135
160
This does not work.
Now, I'm going to try 7, because 9 was very far off.
25 + 15(7)
25 + 105
130.
It still doesn't work.
Finally, I'm going to try 6.
25 + 15(6)
25 + 90
115.
Solve the equation 4.2g+ 5 =2.2g + 11 Find the value of g. b. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
In the question ,
it is given that ,
the equation is 4.2g+ 5 =2.2g + 11
on arranging like terms together , we get
4.2g - 2.2g = 11 - 5
2g = 6
g = 6/2
g = 3
the value of g is = 3 .
to check whether the value g = 3 is correct ,
we substitute g = 3 , in the equation
4.2(3)+ 5 =2.2(3) + 11
12.6 + 5 = 6.6 + 11
17.6 = 17.6
So , the answer that g = 3 is correct .
Therefore , The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
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Simplify C (9, 3)
3!
6!9!
9!
3!
9!
6!3!
3!
9!
Answer:
12
Step-by-step explanation:
pls make me the brainliest
Find the 7th term in the
sequence
1/3, 1, 3, 9,. ..
Answer: 243
Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243
hope this helps!
please give brainliest!
Answer:243
Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.
Assessment Analytics
Math
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G.16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems KR7
Skill plans
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Last week, Becky spent 1 1/2 hours watching television. Monica watched television for 1/2 as
many hours as Becky did. How many hours did Monica spend watching television?
Write your answer as a fraction or as a whole or mixed number.
Number of hours spent by Monica on TV is 45 minutes , the time spent by Becky is in mixed fraction.
What is mixed fraction?
A mixed fraction is one that has each its quotient and remainder delineated.
Main Body:
Number of hours spent by Becky on TV = 1 1/2 hours
This is a mixed fraction.
Converting into decimal form,
1 1/2 can be written as 1.5 hours
Converting hours into minutes ,
⇒1.5 * 60 = 90 minutes
Time spent by Monica = (1/2)* Becky's time
⇒Time spent by Monica = (1/2)*90
⇒ 45 minutes
Hence time spent by Monica is 45 minutes.
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which of the following is not implied when average inventory is q/2, where q is the order quantity? the previous order quantity is entirely depleted when the next order arrives. backorders are permitted an order quantity is depleted at a uniform rate over time. an entire order quantity arrives at one time.
The option that is not implied when average inventory is q/2, where q is the order quantity is; B: backorders are permitted
How to Interpret Average Inventory?Average inventory is defined as a calculation of inventory items that are averaged over two or more accounting periods. To get the calculation of the average inventory over a year, what we will do is to add the inventory counts at the end of each month and then divide it by the number of months.
Now, inventory is usually held against uncertain usage so that a supply of items is available if needed. Thus, The maximum inventory with backorders is calculated as Q - S
where;
S is size of the reorder point
Q is the quantity of order
Looking at the given options, the one that does not imply average inventory is q/2 is option B
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What is an equation of the line that passes through the points (-3, -5) and (-2, -4)?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\m=\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-3,-5)\\(x_2,y_2)=(-2,-4)\\m=\frac{-4-(-5)}{-2-(-3)}\\m=\frac{-4+5}{-2+3}\\m=\frac{1}{1}\\m=1\\\\y=mx+b\\(-5)=(1)(-3)+b\\b=-2\\\\y=x-2[/tex]
