Answer:
17
Step-by-step explanation:
The total number of horses he had at first was 7 horses.
What are word problems?Word problems in mathematics involve careful understanding and they are those methods we use in solving real-life cases by using:
Basic arithmetic operations, Fractions, and/orAlgebraic expressions etc.From the given information:
Let the half of all his horses to the first man be x and half of a horse be yLet half of what is left to the second man be z and half of a horse be yLet half of what is left to the third man be a and half of a horse be y.Then, we can have the system of equations for the three cases to be:
[tex]\mathbf{\dfrac{1}{2}x + \dfrac{1}{2}y = 3 ---- (1)}[/tex]
Making (y) the subject and ignoring (x), we have:
[tex]\mathbf{y = \dfrac{3 - \dfrac{1}{2}}{\dfrac{1}{2}} = 5}[/tex]
y = 5
For the second man;
[tex]\mathbf{\dfrac{1}{2}z + \dfrac{1}{2}y = 3 ---- (2)}[/tex]
[tex]\mathbf{z= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]
z = 1
For the third man:
[tex]\mathbf{\dfrac{1}{2}a + \dfrac{1}{2}y = 3 ---- (2)}[/tex]
[tex]\mathbf{a= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]
a = 1
Thus, the total number of horses he had at first were:
= 5 + 1 + 1
= 7 horses
Learn more about word problems here:
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please help! desperate!
Answer:
i believe it centimeters
Answer:
I see it now, haha
Radius = 2cm
Step-by-step explanation:
We reverse equation for volume
V=πr2 h/3 becomes r2= V/( h* 3 *π)
We have height of 6cm so 6*3 = 18 Then V = 72/18π = 4
We then found the square r2 or ^2 or ^2 they are both same answers Radius = 2 as √4 = 2 and 4/2 also is 2
This radius is squared so we use the root √4cm and find r = 2.
Hope this helps glad you got back to me.
There are 48 girls and 60 boys who want to participate in 6th grade intramural sports. Each team must
have the same number of girls and the same number of boys,
I. What is the GREATEST number of teams that the coach can create to participate in intramurals?
II. How many girls and boys will be on each team?
Use what you know about the GCF to solve this problem. Explain how you know you found the GCF.
I. 12
II. 4 girls and 5 boys
Peggy wants to run 5 miles in less than 60 minutes. What inequality shows what her rate should be?
A: 1 Mi < 60 Min
B: 3 Mi < 60 Min
C: 1 Mi < 12 Min
D: 2 Mi < 30 Min
Thank you!
Answer:
C 1 mile < 12 min would be the correct answer
20 points for this one but please with the explanation
Answer:
∠DGE = 48°
Step-by-step explanation:
∠DGE = 48° (arc is equal to the angle)
I'm not so sure on how to find GF
A__ has a regular polygon base and a vertex over the center of the base.
O A. right prism
B. prism
C. regular pyramid
O D. pyramid
Answer:
C.Regular Pyramid
Step-by-step explanation:
If it has a vertex over the centre of the base,it has to be a pyramid .Also, since the base is a regular polygon,the solid is a regular pyramid
Which of the following expressions can be used to find the perimeter of the square? All sides are the same length. A. 4 x 9. B. 9 x 9. C. 9 + 9 +9 +9. D. 4 + 4 +4 +4.
Answer:
Step-by-step explanation:
The formula for the perimeter of a square of side length s is P = 4s.
A. 4 x 9. Incorrect. There are 4 sides, not just 2.
B. 9 x 9. Incorrect. There are 4 sides, not just 2.
C. 9 + 9 +9 +9. This would be the perimeter of a square of side length 9.
D. 4 + 4 +4 +4. This would be the perimeter of a square of side length 4.
Graph g(x) = 50 – 6+2.
Answer:
42
Step-by-step explanation:
sorry if it wrong
Someone help me step by step
Answer:
D: 13
Step-by-step explanation:
[tex]|(-2)^{2}+(-3)^{2}|\\= |4+9|\\= 13[/tex]
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
PLS HELP NOWWWWWW
1/4 (y+6) + 5 = 1/3 (4y-1) -17
Answer:
y = 22
Step-by-step explanation:
1/4 (y + 6) + 5 = 1/3 (4y - 1) - 17
1/4y + 6/4 + 5 = 4/3y - 1/3 - 17
1/4y - 4/3y = - 1/3 - 17 - 6/4 - 5
3/12y - 16/12y = - 4/12 - 17 - 18/12 - 5
- 13/12y = - 22/12 - 22
- 13/12y = - 22/12 - 22/1
- 13/12y = - 22/12 - 264/12
- 13/12y = - 286/12
- y = - 286/12 / 13/12
- y = - 286/12 * 12/13
- y = - 286/1 * 1/13
- y = - 286/13
y = 286/13
y = 22
What is h(x) = 7 + 10x + x2 written in vertex form? h(x) = (x – 25)2 – 18 h(x) = (x – 5)2 + 32 h(x) = (x + 5)2 – 18 h(x) = (x + 25)2 + 32
Answer:c
Step-by-step explanation:
A milk container is in the shape of a rectangular prism. The width is 26 centimeters, the depth is d centimeters,
and the height is d + 24 centimeters. Write a polynomial that represents the volume (in cubic centimeters) of the
milk container.
Answer:
Step-by-step explanation:
The milk container has the shape of a rectangular prism. We would determine its volume by applying the formula for determining the volume of a rectangular prism which is expressed as
Volume = length × width × height
From the information given,
Length = height = d + 24 meters
Width = 26 meters
Height = depth = d meters
The polynomial that represents the volume (in cubic centimeters) of the
milk container is
Volume = (d + 24)26d
Volume = 26d² + 624d
The segments shown are dilations of each other about the origin. Which statement could be true? The coordinate (1, 0) is from a dilation using the scale factor of One-fifth. The coordinate (5, 0) is from a dilation using the scale factor of 4. The coordinate (1, 0) is from a dilation using the scale factor of 5. The coordinate (5, 0) is from a dilation using the scale factor of One-fifth.
Answer:
the first one The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Answer:
the first one
Step-by-step explanation:
Hello I really need help and it’s a quick easy multiple choice answer I just don’t know if I’m right! Pls help
Answer:
The solutions
Step-by-step explanation:
Solving for x gives the solutions
Determine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
HELP ASP!!! PlS
Using rigid motion which statement is true about the triangles?
Answer:
its c
Step-by-step explanation:
i just got it correct
Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long. Choose the function that represents the data. f(x) = x2 + 2x f(x) = 2x2 f(x) = 2x
Answer:
c
Step-by-step explanation:
A function assigns the values. The correct option is C, f(x)=2x².
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long. Now, the function that can represent this table can be found by substituting the values in the function and checking if the two sides are equal or not.
A.) f(x)= x²+2x
f(1) should be equal to 2.
f(x)= x²+2x
f(1)= 1²+2(1) = 3
Thus, this is not the correct function.
B.) f(x)= x²/2
f(1) should be equal to 2.
f(x)= x²/2
f(1)= 1²/2 = 0.5
Thus, this is not the correct function.
C.) f(x)=2x²
f(1) should be equal to 2.
f(x)=2x²
f(1)= 2(1)² = 2
Also, f(2) should be equal to 8.
f(x)=2x²
f(1)= 2(2)² = 8
Thus, this is the correct function.
D.) f(x)=2x
f(1) should be equal to 2.
f(x)=2x
f(1)= 2(1) = 2
Also, f(2) should be equal to 8.
f(x)=2x
f(1)= 2(2) = 4
Thus, this is the correct function.
Hence, the correct function that represents the area of the box is f(x)=2x².
The complete question is,
Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long.
x 1 2 3 4 5
f(x) 2 8 18 32 50
A.) f(x)= x²+2x
B.) f(x)= x²/2
C.) f(x)=2x²
D.) f(x)=2x
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Solve for x in the equation x2 – 3x+41 = 0
Answer:
no solution
Step-by-step explanation:
Let's solve your equation step-by-step.
x2−3x+41=0
Step 1: Subtract 41 from both sides.
x2−3x+41−41=0−41
x2−3x=−41
Step 2: The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x2−3x+
9
4
=−41+
9
4
x2−3x+
9
4
=
−155
4
Step 3: Factor left side.
(x
−3
2
)2=
−155
4
Step 4: Take square root.
x
−3
2
=±√
−155
4
Step 5: Add 3/2 to both sides.
x
−3
2
+
3
2
=
3
2
±√
−155
4
x=
3
2
±√
−155
4
Answer:
No real solutions.
Using the drawing below, find the inequality statement that it represents AND choose all of the numbers that would be part of that solution.
A
m > −5
B
m ≥ −5
C
m < −5
D
m ≤ −5
E
−5
F
−8
G
0
H
3
Answer: A, B, E
Step-by-step explanation:
You have to choose the awnsers that would be apart of the awnser
0.884 in standard form
Answer:
8.84×10⁻
Step-by-step explanation:
To write a number in standard form we need to write down a number between 1 and 10, then × 10(to the power of a number). Therefore, the standard form of 0.884 is ¹.8.84×10⁻.
Have a great day
Iris wants to buy sneakers at $15 each and high heels at $30 each. Write an algebraic expression to find the total cost of the shoes if she buys x sneakers and y high heels. Write your answer in the form “ax + by” where a and b are positive or negative constants.
Answer: 30y + 15x
If x is for sneakers, and y is for high heels, plug 15 in for a and 30 in for b. This means that x is how many sneakers she buys, and y is how many high heels she buys. The equation altogether represents the total amount of her purchases.
Use a net to find the surface area of the cylinder. Use 3.14 for pi.
Answer:The answer is 70 π
Each of the 17 guinea pigs needs its cage cleaned. If it takes 1 hour to clean 4 cages, how many hours will it take to clean all 17 cages? It will take hours to clean all the cages.
Answer:
Time taken to clean all 17 cages = 4.25 hours
Step-by-step explanation:
Total number of Guinea pig cage = 17
Time taken to clean 4 cage = 1 hour
So,
Time taken to clean 1 cage = [tex] \frac{1}{4} [/tex] hour = 15 minutes
Therefore,
Time taken to clean 17 cages = 17 × 15 minutes = 255 minutes
= [tex] \frac{255}{60} [/tex] hours
= 4.25 hours
Answer:
Time taken to clean all 17 cages = 4.25 hours
Step-by-step explanation:
y = rx
y = sx
In the system of equations above, r and s are nonzero constants. When these equations are graphed in
the xy-plane, the result is a pair of intersecting lines. At what point do the lines intersect?
Answer: (0, 0)
Step-by-step explanation:
We have the linear system:
y = r*x
y = s*x
We want to find the point where the lines intersect,
We know that
r*x = y = s*x
r*x = s*x
if r and s are different numbers (if r = s, this means that the two lines are the same line)
Then we have that the equality is only true when x = 0.
this means that the value of y is.
y = s*0 = r*0 = 0
So the point (x, y) where the lines intersect is (0, 0)
Find the measure of the indicated angle (with the ?)
(Giving brainliest
Answer:
D. 70°
Step-by-step explanation:
Because Measure of central angle is equal to the measure of its corresponding minor arc.
Therefore, measures of indicated angle is 70°
25000000 in standard form
Answer:
2,500,000 This is in standard form.
2.5 x 10^6 This is in scientific notation.
Step-by-step explanation:
Which expression has the least value when x = 400
Answer:
A
Step-by-step explanation:
because if you divied 100 by 400 it is a lot less than the others
The expression that has the least value when x is 400 would be 10/x.
What is a linear equation?A linear equation is an equation in which the highest power of the given variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
A. 100/x
100 / 400 = 0.25
B. 10/x
10/ 400 = 0.025
C. 100-x
100 - 400 = - 300
D. 10-x
10 - 400 = -390
Thus, the least value is o.o25.
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The intercepted arc of an inscribed angle is ______ the measure of the inscribed angle.
The average national utility price is $270.48. Over a 6-month period, what is the average utility price in Orlando? How does this compare with the national average? A graph titled Orlando, Florida, has month on the x-axis and utility price on the y-axis. In April, the cost was 288 dollars; May, 310 dollars; June, 325 dollars; July, 294 dollars; August, 293 dollars; September, 343 dollars. a. $370.60; higher than the national average b. $292.17; higher than the national average c. $38.35; lower than the national average d. $308.83; higher than the national average Please select the best answer from the choices provided A B C D
Answer:
B.
Step-by-step explanation:
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
A. Javier needs to know the measure of angle P.
B. Javier needs to know the measure of angle M.
C. Javier needs to know the measure of angle S.
D. Javier needs to know that segment MN is parallel to segment SR.
Answer:
Step-by-step explanation:
In triangles MNP and RSP, if there are two pairs of corresponding angles that are congruent or equal, it means that
triangle MNP is similar to triangle RSP. The corresponding angles in both triangles are
P corresponding to P
M corresponding to R
N corresponding to S
Therefore, the missing piece of information that Javier needs to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate is
A. Javier needs to know the measure of angle P.
Answer:
D. Javier needs to know that segment MN is parallel to segment SR.
Step-by-step explanation:
(I know this is old, but I wanted to answer if anyone else comes to this.)
If Javier does not know if segment MN is parallel to segment SR, he would not be able to prove that the two triangles were similar.
what does the polynomial pirate have as a pet
From work sheet called quadratic function transformations
Answer:
Apparently pirates had a flare for the exotic (who would have thought) and also commonly kept small monkeys. More common type pets, such as cats and dogs, were probably kept on ships too - but they would be expected to earn their keep
Step-by-step explanation:
hope this helps oxox