From the given speed and time, the distance of the trip can
be determined.
Correct response;
Number of hours the trip will take when traveling 60 mph is [tex]\underline{5\frac{1}{4} \ hours}[/tex] How is the time taken at a given speed calculated?Given;
Time required for the trip from Carville to Nikpath = [tex]4\frac{1}{2}[/tex] hours
Average speed for the trip = 70 mph
Required;
The duration of the trip when traveling 60 mph
Solution;
Distance = Velocity × Time
Distance of trip = [tex]\mathbf{4\frac{1}{2}}[/tex] hour × 70 miles/hour = 315 miles
Duration of trip when traveling 60 mph is therefore;
[tex]Time = \dfrac{315 \, miles}{60 \ miles/hour} = 5.25 \ hours = \mathbf{ 5\frac{1}{4} \ hours}[/tex]
Duration of trip when traveling 60 mph = [tex]\underline{5\frac{1}{2} \ hours}[/tex]
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A rectangle has a height of 8 inches and a base of 12 inches. If we double the height, by how many inches will the perimeter increase?
Perimeter is the total sum of the 4 sides.
The height is given as 8 inches. If this is doubled the new height becomes 16 inches. (The height increases by 8 inches)
total increase in perimeter = 8 + 8 = 16 inches.
Answer: 16 inches
the image of a worm is 4 times its actual size and has a length of 7 cm
The answer is 28
7 × 4 = 28
chip and dale steal 25% of Donald ducks apples how many apples do they steal if he gathered 300 apples
Chip and Dale stole 75 apples
Percentage
Percentage is a number or ratio that can be expressed as a fraction of 100.
Chip and Dale stole 25% of Donald ducks apples. They gathered 300 apples.
Let
x = number of apples stole
Therefore,
number of apples stole = 25 % of 300
number of apples stole = 25 / 100 × 300
number of apples stole = 75 apples.
Therefore, Chip and Dale stole 75 apples
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Mr. Thompson runs his own printing and bookbinding business. He suspects that the machine isn't putting enough glue into the book spines and decides to inspect his most recent order of 70 textbooks to test his theory. He numbers them 01-70 and, using the random digit table printed below, selects a simple random sample of 5 books to check. Which books are in the sample? 85063 55810 10470 08029 30025 Choose 1 answer: 06, 35, 58, 10, 10 06, 35, 58, 10,47 85,06, 35,58, 10 50, 63, 55, 10, 04
A simple random sample involves taking a proportion from a population to represent the complete data set.
The books in the sample are: (b) 06 35 58 10 47
How to determine the books in the sampleThe numbers are given as:
85063 55810 10470 08029 30025
Rewrite the numbers as 2-digits as follows:
85 06 3 5 58 10 10 47 0 0 80 29 30 02 5
So, we have:
85 06 35 58 10 10 47 00 80 29 30 02 5
Remove numbers outside the range 01 - 70, the single digits and the repeated numbers
06 35 58 10 47 29 30 02
Take the first five samples
06 35 58 10 47
Hence, the books in the sample are: 06 35 58 10 47
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A square has a diagonal length 18 in. What is the side length of the square?
(Show work please)
Answer:
9[tex]\sqrt{2}[/tex] inches
or
12.728 inches
Step-by-step explanation:
Use Phytagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
Since both all sides of a square are equal, this means that [tex]a^{2}[/tex] and [tex]b^{2}[/tex] are equal.
So that leaves us with:
[tex]a^{2} +a^{2} = 18^{2}[/tex]
Simplify
[tex]2a^{2} = 324[/tex]
Divide both sides by 2
[tex]\frac{2a^{2} }{2} =\frac{324}{2}[/tex]
Simplify
[tex]a^{2} = 162[/tex]
Find the square root of both sides
[tex]\sqrt{a^{2} } =\sqrt{162}[/tex]
a = 9[tex]\sqrt{2}[/tex]
(or if you want the decimal, rounded to the 3rd decimal place: 12.728)
5(2x + 1) = 50 what is x
Answer:
4.5
Step-by-step explanation:
multiply inside the brackets
5 × 2x = 10x, 5 × 1 = 5
10x + 5 = 50
subtract 5 on both sides (50 - 5 = 45) to give
10x = 45
divide 10 on both sides
45 ÷ 10 = 4.5, so x = 4.5
the reciprocal of 6 and -12y - 18x
The reciprocal of 6 and -12y -18x are:
[tex] \frac{1}{6} and \: \frac{1}{ - 12y - 18x} [/tex]
Please help me!!!!!!!!!!!
Answer:
(5,0) and (1,0)
Step-by-step explanation:
you can set each factor equal to zero:
-x + 5 = 0
-x = -5
x = 5
x - 1 = 0
x = 1
You plan to sell cookies for your Math Club. It costs $0.15 each to bake a cookie and $25.00 for packaging materials. The first 48 cookies are samples and will not be sold.
A. Write a function for the average cost of a cookie
B. What is the average cost if 1000 cookies are baked?
Answer:
see below!
Step-by-step explanation:
A) [tex]\frac{.15x + 25 + 48(.15)}{x + 48}[/tex] which can be simplified to [tex]\frac{32.2 + .15x}{x + 48}[/tex] = f(x)
x in this equation is the cookies because the number of cookies someone wants to make is unknown 25 is the total cost of materials used total48(.15) would be the cost of the samplesf(x) is the answer for when you plug in xB)
plug in 952 to x because x is the number of cookies left that you need to bake since 48 has been taken out already for the samples
[tex]\frac{32.2 + .15(952)}{952 + 48}[/tex] -----> [tex]\frac{32.2 + 142.8}{1000}[/tex]------> [tex]\frac{175}{1000}[/tex] ------> $0.175 or 17.5 cents
hope this helps.......
it’s not 180 help meeee
Answer:
14
Step-by-step explanation:
1/3 x 90=30
2/3 x 45 =30
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A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters. One base is 6.4 meters and the other base 12.3 meters long. What is the height of the cross section
Answer:
4m
Step-by-step explanation:
see image. The area of the trapezoid is
Area=1/2 (b1 + b2)h
We can fill in the area and the two bases that were given. Then we solve for h to find the height.
37.4 = 1/2 (6.4+12.3)h
Add inside the ( ).
37.4 = 1/2 (18.7)h
Multiply
the 1/2 × 18.7
37.4 = 9.35h
Divide by 9.35
37.4/9.35 = h
4 = h
The height is 4 meters
Brandon has a jar of quarters and dimes with a total value of $10.05. The number of quarters is 3
less than twice the number of dimes. How many quarters and how many dimes does Brandon
have?
Answer:
Brandon has 18 Dimes and 33 Quarters [Beware: The problem does not state that Brandon owns the coins - he just has them. Check your pockets]
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). I'll use pennies instead of dollars, so avoid the clutter of decimal points.
We are told that:
Q = 2D - 3 [The number of quarters is 3 less than twice the number of dimes.]
and
25Q + 10D = 1005 [total value of $10.05]
Substitute the value of Q in the first equation in the second, so that we have an equation with just one unknown, D.
25(2D-3) + 10D = 1005
50D - 75 + 10D = 1005
60D = 1080
D = 18
Q = 2D - 3
Q = 2(18) - 3
Q = 33
=============================
Check
25Q + 10D = 1005
25(33) + 10(18) = 1005 ?
825 + 180 = 1005 YES
----
Q = 2D - 3 ?
33 = 2(18) - 3 YES
PLEASE HELP ASAP WILL MARK CORRECT ANSWER BRAINLEST
Answer: A is the correct answer
Step-by-step explanation:
-(x+3)=5 show work, please
x = -8
Explanation:
-(x+3)=5
-x -3 = 5
-x = 8
x = -8
Hope this help!
Answer:
Answer: x is -8
Step-by-step explanation:
[tex]{ \tt{ - (x + 3) = 5}}[/tex]
» Open the bracket following distribution property:
[tex]{ \tt{ - x - 3 = 5}} \\ [/tex]
» Add 3 to both sides following addition rule of equality:
[tex]{ \tt{( - x - 3){ \green{ + 3}} = 5{ \green{ + 3}}}} \\ { \tt{ - x = 8}}[/tex]
» Divide either sides by -1 following division rule of equality
[tex]{ \tt{ \frac{ - x}{ \green{ - 1}} = \frac{8}{ \green{ - 1}} }} \\ \\ { \tt{x = - 8}}[/tex]
How many child tickets were sold that day?
[tex]\huge\boxed{\fcolorbox{black}{red}{Answer}}[/tex]
first let's name a couples of variable
• the number of adults tickets sold: a
• the number of children tickets sold: c
From the problem we know
a + c = 128
and
$5.40c + $9.20a = $976.20
1) solve the equation to alpha
a+c-c = 128 -c
a+0=128-c
a=128-c
2) substitute (128 - c) for a in the second equation and solve to c
$5.40c + $9.20a = $976.20 become
$5.40c + $9.20(128 - c) = $976.20
$5.40c + ($9.20 × 128) - ($9.20 - c) = $976.20
$5.40c - $9.20c + $ 1177.6 = $976.20
($5.40 - $9.20)c +$1177.6 = $976.20
-$3.80c + $1177.6 = $9.76.20
-$3.80c + $1177.60 - $1177.60 = $976.20 - $1177.60
-$8.30c + 0 = $201.40
-$3.80c = - $201.40
-$3.80c. -$201.40
________. = _________
-$3.80. -$3.80
-$3.80c. -$201.40
________. = _________. - they are 4 cut the no
-$3.80. -$3.80
c = $201.40
________
3.80
c = 53
a line goes through the point (8,3) and has a slope m=4. Write an equation that represents that line.
Answer:
y=4x-29
Step-by-step explanation:
y-y1=m(x-x1)
y-3=4(x-8)
y=4x-32+3
y=4x-29
Answer:
y = 4x - 29
Step-by-step explanation:
You will use the slope-intercept form y = mx + b
Your point (8, 3) will be substituted for (x, y) and 4 will be substituted for the slope(m)
y = mx + b
3 = (4)(8) + b
Simplify
3 = 32 + b; now subtract 32 from both sides to keep a balanced equation.
3 - 32 = 32 + b - 32
-29 = b
Finally, substitute your slope(m) = 4 and the y-intercept(b) = -29 back into the slope-intercept form
y = 4x - 29
anyone btw it’s not 24 anyone pleasee help
Answer:
2/3 of 6
Step-by-step explanation:
Since 1/3 of 12 is 4, we are trying to find the two thirds of an unknown number x that equals 4. We can represent this as the equation 2/3*x=4. Multiplying three on both sides, we get 2x=12. Dividing two on both sides, we get x=6. Therefore, the answer is 2/3 of 6.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the solution ~
Let the missing number in the box be x
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \: \: of \: \: 12 = \frac{2}{3} \: \: of \: \: x[/tex]
[tex] \qquad \sf \dashrightarrow \: \frac{1}{3} \times 12 = \frac{2}{3} \times x[/tex]
[tex]\qquad \sf \dashrightarrow \: 4 = \frac{2}{3} x[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 4 \times \frac{3}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = 2 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 6[/tex]
Therefore, the number in the box will be 6
[tex]꧁ \: \large \cal{ Gᴀʟᴀᴄᴛᴜs } \: ꧂[/tex]
Kathy earned $300 mowing lawns last summer. She spent all her earnings on a new CD player and new CDs. If Kathy paid $90 for the CD player what percent of her summer earnings did she spend on the CDs?
Answer:
The answer is 30% percent.
Solve for m.
5/8m>−40
m>−64
m<−64
m>−25
m<−25
Answer: m>-64
Step-by-step explanation:\
please give brainliest
- Hunter Cross
Hope it helped
The solution of the inequality (5/8) m > −40 will be greater than negative 64. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given as,
(5/8) m > −40
Solve the inequality, then we have
(5/8) m > −40
m > −40 × 8 / 5
m > −8 × 8
m > −64
The solution of the inequality (5/8) m > −40 will be greater than negative 64. Then the correct option is A.
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Select the pair(s) of ratios that form a proportion.
a. 24/31 , 20/27
b. 8/9 , 24/36
c. 16/5 , 64/20
d. 6/4 , 15/10
Answer:
C is the only choice that forms a proportion
Step-by-step explanation:
a. 24/31, 20/27
(31 is prime)
b. 8/9, 24/36
(this one doesn't work since it would have to be 3/4) which isn't a proportion
c. 16/5, 64/20
(both 16/5 *4 = 64/20) so it works
d. 6/4 , 15/10
(similar situation to choice b the ratio wont work since 6 doesn't go into 15)
A company is making new soccer uniforms for a team. The company uses 2. 5 yards of fabric for each shirt. The company uses 82. 5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation. 15 (2. 5 x) = 82. 5; x = 3 What does the solution, x = 3, represent? the total fabric needed for the shirts the total fabric for each shirt and each pair of shorts the amount of fabric left over after making the shirts and shorts the amount of fabric needed for each pair of shorts.
The total fabric for shirts is 37.5 yards.
The total fabric for shorts is 45 yards.
The total fabric for each shirt and each pair of shorts is 5.5.
The amount of fabric leftover after making the shirts and shorts is zero.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The company uses 2.5 yards of fabric for each shirt.
The company uses 82.5 yards of fabric to make shirts and shorts for 15 players.
The equation and solution represent the situation.Equation is 15 (2. 5 x) = 82.
Solution is x = 3.
Where x be each short.
The total fabric needed for the shirts.Total fabric for shirts = 2.5 x 15
Total fabric for shirts = 37.5
The total fabric for shirts is 37.5 yards.
The total fabric needed for the shorts.Total fabric for shorts = 3 x 15
Total fabric for shorts = 45
The total fabric for shorts is 45 yards.
The total fabric for each shirt and each pair of shorts.The total fabric for each shirt and each pair of shorts will be
2.5 + 3
5.5
The total fabric for each shirt and each pair of shorts is 5.5.
The amount of fabric leftover after making the shirts and shorts.82.5 - 15 (2.5 + 3)
82.5 - 15 (5.5)
82.5 - 82.5 = 0
The amount of fabric leftover after making the shirts and shorts is zero.
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The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are already on the plane, which graph represents the solution to the inequality that would be used to find how many more people can board? A number line going from 50 to 60. An open circle is at 53. Everything to the left of the circle is shaded. A number line going from 50 to 60. An open circle is at 53. Everything to the right of the circle is shaded. A number line going from 50 to 60. An solid circle is at 53. Everything to the left of the circle is shaded. A number line going from 50 to 60. An solid circle is at 53. Everything to the right of the circle is shaded.
A solid circle is at 53. Everything to the left of the circle is shaded.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
The airplane can seat up to 149 passengers.
If 96 passengers are already on the plane.
To findThe solution to the inequality would be used to find how many more people can board.
How to find the solution to the inequality that would be used to find how many more people can board?Let x be the vacant seat.
So the equation will be.
x + 96 ≤ 149
On simplifying, then we get.
x + 96 ≤ 149
x ≤ 149 - 96
x ≤ 53
Thus, A solid circle is at 53. Everything to the left of the circle is shaded.
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You answer is: C
Step-by-step explanation:
Hope this helps and here is proof and can u pls mark me as Brainliest
Manu was standing on a 245m high tower with a stop watch. He dropped a stonefrom the tower and noted that time taken by the stone to reach ground is 6seconds.Please give me the answer with steps!!!
The time taken for the stone to reach the ground is 7 s
Data obtained from the question Height (h) = 245 mAcceleration due to gravity (g) = 10 m/s²Time (t) =? How to determine the timeThe time taken for the stone to reach the ground can be obtained as follow:
h = ½gt²
245 = ½ × 10 × t²
245 = 5 × t²
Divide both side by 5
t² = 245 / 5
t² = 49
Take the square root of both side
t = √49
t = 7 s
Thus, it will take the stone 7 s to reach the ground.
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Which inequalities would have an open circle when graphed? Check all that apply. T Less-than-or-equal-to 25 -2. 5 Less-than-or-equal-to m x > 5. 4 One-half less-than x x > 0.
The inequalities would have an open circle when graphed are as follows;
The inequality shows that it does not contain boundary point 5.
[tex]\rm x>5.4[/tex]
The inequality shows that it does not contain the boundary point 1/2.
[tex]\rm \dfrac{1}{2}>x[/tex]
The inequality shows that it does not contain the boundary point 0.
[tex]\rm x>0[/tex]
What is a circle?A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center):
The graph will have an open circle only if it has the symbol < or > because it indicates that the boundary is not included.
The inequality shows that it does not contain boundary point 5.[tex]\rm x>5.4[/tex]
The inequality shows that it does not contain the boundary point 1/2.[tex]\rm \dfrac{1}{2}>x[/tex]
The inequality shows that it does not contain the boundary point 0.[tex]\rm x>0[/tex]
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Mr Torres made punch for the Valentine's day party the recipe called for 2 scoops of ice cream for every 1 1/2 cup of soda. if Mr Torres added 20 scoops of ice cream but only had a 1/4 cup measuring cup how many times will he have to fill it in order to make the punch?
Answer:
20 i think dont answer yet
Step-by-step explanation:
How many four-digit positive integers are there with thousands digit $2?$.
Answer:
There are one thousand. Starting at 2000 and going to 2999
Step-by-step explanation:
Solve the system of equations algebraically.
2x+y=5
3x−3y=3
(x,y)= (
substitution
2x+y=5
y = -2x+5 (1)
3x-3y=3 (2)
1 ⇒ 2
3x - 3(-2x+5) = 3
3x+6x-15=3
9x=18
x=2
y = -2(2)+5
y = 1
6,372
x 75
________ Equal to what answer?
Answer:
477,900
Step-by-step explanation:
x=-3
Graph the following equation
Answer:
x=-3
Step-by-step explanation:
CaN SoMeOne PlEaSeEEeeE HeLp mE!! I beg you I'm dum,b and cannot figure this out.
Answer:
the slope = -1
Step-by-step explanation:
m = -1 because the rise is down 1 and the run is right 1. -1/1 = -1
Answer:
-1
Step-by-step explanation:
Take any two co-ordinates of the line,
Say (0,3) and (3,0)
Now,
Slope=(y2-y1)/(x2-x1)
0-3/3-0
-3/3
-1
