Answer:
12
Step-by-step explanation:
Consider the number of children to be '[tex]x[/tex]'
So, 144 coins were divided among '[tex]x[/tex]' children
For [tex]x-3[/tex] children, each child would have 16 coins
So now, solve the equation [tex](x-3)*16=144[/tex]
Solving for [tex]x[/tex]:
[tex](x-3)*16=144[/tex]
[tex]x-3=\frac{144}{16}[/tex]
[tex]x-3=9[/tex]
[tex]x=9+3[/tex]
[tex]x=12[/tex]
Therefore, there are 12 children.
A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The triangular prism has rectangular sides that are 5 by 2.8, 5 by 2, and 5 by 2. The 2 triangular sides have a base of 2 and height of 2. The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.
Answer:
1.
2(5)
2.
10
3.
18
4.
66
Step-by-step explanation:
its right on edge
17. Determine which point lies in the solution of the system: y< -1x+2, y ≥ 3x - 4
a. (3,0)
b. (5,2)
c. (-3,0)
d. (1,-6)
Answer:
I believe the answer is C) (-3,0)
Step-by-step explanation:
It's the only point where both equations in the system have it.
What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?
Answer:
36
Step-by-step explanation:
6r + 6 - 4s
r = 7
s = 3
6(7) + 6 - 4(3)
42 + 6 - 12
(remember PEMDAS, adding/subtracting left to right)
48 - 12 = 36
therefore the answer is 36
hope this helps ! :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{6r + 6 - 4s}[/tex]
[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]
[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]
[tex]\large\textsf{6(7) = \bf 42}[/tex]
[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]
[tex]\large\textsf{42 + 6 = \bf 48}[/tex]
[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{48 - \bf 12}[/tex]
[tex]\large\textsf{= \bf 36}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
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I bought a pack of 100 rectangular index cards. Each card measured 15 cm by 10 cm. The pack said: paper density=200gsm (grams per square metre). This means that a square metre of these cards weighs 200 g.
Each pack of cards is wrapped in a sheet of 50GSM paper with an area of 800cm^2. I have a number of packs and wish to store them on a shelf which cannot hold more than 10kg. What is the largest whole number of wrapped pack that can be stored?
Answer:
DJ docks glam Kalahandi focusing more than a few days to get the latest flash player of year and a half hour or so to the following information to you soon and we are looking to
Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING
Answer:
1 = 61°
2 = 119°
3 = 61°
4 = 119°
5 = 119°
6 = 61°
7 = 119°
Step-by-step explanation:
∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.
∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.
∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.
∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.
∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.
∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.
∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.
Find the number of paths from A to B. (Each step can only go up or to the right.)
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
question 12 helllllllppppp plazzzzzzz
Answer:
Step-by-step explanation:
It says Renita takes minutes to ride half a mile.
She leaves 30 minutes before school.
Total distance is
[tex]2\frac{1}{2} = \frac{1}{2}+ \frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2}\\[/tex]
In
[tex]2\frac{1}{2} \ there \ are \ 5 \ times \ \frac{1}{2} \ mile .\\[/tex]
Therefore total time to reach school will be 5 x 5 = 25minutes.
Since she leaves 30minutes before school. She will reach 5minutes early before school.
which of the following is equivalent (x+1)^2
Answer:
B. x^2 + 1
Step-by-step explanation:
Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.
Please hel p me. !!!!!!!
Answer:
The median of this data range would be 54.5.
Step-by-step explanation:
In statistics and probability theory, the median is the data value dividing the larger half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. To find the median, place the numbers in value order and find the middle number. In this case, from smallest to greatest, the data list would be 36, 43, 50, 50, 51, 58, 59, 60, 69, 73. If there are an even number of individual data points, you need to find the two values that are located in the middle of the data plot, add them together, and divide their sum by two to get the median. Because there are 10 individual data values, that means you need to use the 5th and 6th values to find the median, which is 51 and 58. [tex]\frac{51+58}{2}[/tex] = [tex]\frac{109}{2}[/tex] = 54.5, so that would be the median of this data set.
Give me a topic for my mathematical investigation.
There are a few you can choose from:
Statistics and probability
Geometry
Proofs
Triangles
Circles
Numerical sequences
Number Theory
etc.
Write the opposite of the number. 10 over 7
Answer:
The multiplicative inverse of 10/7 is 7/10.
Step-by-step explanation:
have a good day :)
NEED HELP NOW PLZZZZZZ HELP
solve x round to the nearest tenth
Answer:
35.4
Step-by-step explanation:
How you figure this out is you put 2nd sin (it will come up as sin ^-1 ( ) then you just plug in the opposite side (11) over the hypotenuse (19) you will get 35.37654...
sohcahtoa, I know that it is sin because it is opposite hypotenuse.
What are the dimensions of this matrix?
2 x 3
2 x 2
3 x 2
3 x 3
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
SOLVE TWO
OF THESE QUESTIONS
PLS DUE RN
WILL GIVE
BRAINLIST
Answer: 52.7 Fº
and the 2nd question isn't visible in the photo
what is this???????????????????????
Answer:
Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.
Express the product of (2x– 1) and ( 1/2x -2/3)
as a trinomial in simplest form.
Answer:
Solution given:
the product of (2x– 1) and ( 1/2x -2/3)
:(2x-1)(½x-⅔)2x(½x-⅔)-1×(½x-⅔)x²-4/3 x-½x+⅔x²-½x-4/3+⅔x²-½x-[4-2]/3x²-½x-⅔ is a required answer.The product of the given binomials is x²-11x/6+2/3.
The given binomials are (2x– 1) and (x/2 -2/3).
We need to find the product of the given binomials.
How to multiply two binomials?The binomials are multiplied as:
Step 1: Multiply the first term of each binomial.
Step 2: Now multiply the outer term of each binomial.
Step 3: Once this is done, now multiply the inner terms of the binomials.
Step 4: Now the last terms are multiplied.
Now, (2x– 1) × (x/2 -2/3)
=2x × x/2 -1 × x/2 - 2x × 2/3 - 1 (-2/3)
=x²-x/2-4x/3+2/3
=x²+(-3x-8x)/6+2/3
=x²-11x/6+2/3
Therefore, the product of the given binomials is x²-11x/6+2/3.
To learn more about the product of binomials visit:
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Paul is spreading grass seed on an area of his lawn that is 10 feet wide and 12 feet long.
A bag of seed covers 15 square feet. How many bags of seed will Paul need to cover the area?
A. 4 bags
B. 8 bags
C. 80 bags
D. 400 bags
Answer:
8 bags, but will have some extra.
Step-by-step explanation:
The area of the lawn is 120 square feet, and 15 x 8 =124.
Does this graph show a function? Explain how you know.
O A.
Yes; there are no y-values that have more than one x-value.
• B. Yes; the graph passes the vertical line test.
C. No; the graph fails the vertical line test.
D. No; there are y-values that have more than one x-value.
Answer:
it's C.
Step-by-step explanation:
hope this helps you out
Choice 3: Kyra makes $700.00 a week in her job. She did such a great job this week that she is going to get a 15% raise next week. How much will her raise be?
Please help and this is a Percentage problem :)
Answer:
15/100 x 700 = 105
Step-by-step explanation:
Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.
You need to FIRST find out what the percentage is OF whenever coming across these types of problems.
And the keyword 'of' means to multiply.
question 6 pllzzzz help mmmeeee
Answer:
the value of x=12 makes equation true.
hope it helps
stay safe healthy and happyAnswer:
Hello! answer: x = 10.4
Step-by-step explanation:
10 × 10.4 = 104 104 - 4 = 100 and 100 ÷ 5 = 20 therefore x = 10.4 HOPE THAT HELPS!
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
Position of top rail of boat after increasing water level = 1 feet out of water
Step-by-step explanation:
Given:
Position of top rail of boat = 4 feet out of the water
Water level increases = 3 feet
Find:
Position of top rail of boat after increasing water level
Computation:
Position of top rail of boat after increasing water level = Position of top rail of boat - Water level increases
Position of top rail of boat after increasing water level = 4 - 3
Position of top rail of boat after increasing water level = 1 feet out of water
What is the 5th equivalent fraction to 1/3?
(5.6x - 4) + (16 - 2.1x)
What is the sum of this expression?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{(5.6x - 4) + (16 - 2.1x)}[/tex]
[tex]\large\text{DROP the PARENTHESES}[/tex]
[tex]\large\textsf{5.6x - 4 + 16 - 2.1x}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{5.6x - 2.1x - 4 + 16}[/tex]
[tex]\large\textsf{5.6x - 2.1x = \bf 3.5x}[/tex]
[tex]\large\textsf{-4 + 16 = \bf 12}[/tex]
[tex]\large\textsf{= \bf 3.5x + 12 }[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
It says find the surface area of the pyramid. and the answer if the surface area is.
Answer:
you need to add all those numbers
Which equation has the same solutions as 2x^2+x-3 = 0?
1. (2x - 1)(x + 3) = 0
2. (2x + 1)(-3) = 0
3. (2x - 3)(x+1)=0
4. (2x+3)(x - 1) = 0
Answer:
given solution
[tex]2x^2+x-3 = 0[/tex]
first one
[tex] {2x}^{2} - 6x - x - 3 = 0[/tex]
second one
[tex] - 6x - 3 = 0[/tex]
third one
[tex] {2x}^{2} + 2x - 3x - 3 = 0[/tex]
fourth one
[tex] {2x}^{2} + 3x - 2x - 3 = 0[/tex]
Step-by-step explanation:
fourth answer is suite for this given solution
answer is 4. (2x+3)(x - 1) = 0
good luck
Question 9 (1 point)
Solve for X
K
50°
110°
P
R
w
30x
Answer:
x = 3
Step-by-step explanation:
Recall: Opposite angles in an inscribed quadrilateral are supplementary.
Thus,
m<R = 180 - m<P
m<R = 180 - 110
m<R = 70°
Recall: measure of inscribed angle = half of the intercepted arc
Thus:
m<R = ½(arc KPQ)
70 = ½(50 + 30x)
Multiply both sides by 2
2*70 = 50 + 30x
140 = 50 + 30x
140 - 50 = 50 + 30x - 50
90 = 30x
90/30 = 30x/30
3 = x
x = 3
Which is not a correct way to rewrite this expression using the distributive
property?
(3x2 + 4x - 7)(x - 2)
A. (3x)(x - 2) + (4x)(x - 2) + (-7)(x-2)
B. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(-2)
C. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(x - 2)
D. (3x)(x) + (3x)(-2) + (4x)(x) + (4x)(-2) + (-7)(x) + (-7)(-2)
HELP ASAP
Answer:
C. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(x - 2)
Step-by-step explanation: