Answer:
5 over 7 and 7 over 9
Step-by-step explanation:
Answer:
5 over 7 and 7 over 9 is the answer 0w0
Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than nickels. The total value of coins is $5.90. He wrote the equation 0 Which statements identify Elliott’s errors? Check all that apply. He should have written the expression for the number of dimes as x – 7. He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25. He should have written the coin value for the nickel as 0.05. He should have translated the scenario as value of all dimes = value of all nickels and value of all quarters = value of all nickels. He should have written the expression for number of nickels as 2x.
The equation written by Elliot, which was not included in the question, is:
[tex]0.10(7-x)+0.5(x)+0.25(0.5x)=5.90[/tex]
The statements from which you have to identify the errors are:
a) He should have written the expression for the number of dimes as x – 7.
b) He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.
c) He should have written the coin value for the nickel as 0.05.
d) He should have translated the scenario as the value of all dimes = value of all nickels and value of all quarters = value of all nickels.
e) He should have written the expression for the number of nickels as 2x.
Answer:
There two errors:
First statement: He should have written the expression for the number of dimes as x - 7.Third statement: He should have written the coin value for the nickel as 0.05Explanation:
I will start by writing the correct expression following the statements step-by-step:
1) He has half as many quarters as nickels
Name x the number of nickels: xThe number of quarters is half the number of nickels: x/22) He has 7 fewer dimes than nickels.
That is: x - 73) Mulitiply each number of coins by its value in dollars:
Dimes: (x - 7) × 0.10 = 0.10 (x - 7)Nickles: x × (0.05) = 0.05xQuarters: x/2 × 0.25 = 0.25× (1/2 × x) = 0.25 (0.5x)4) Add he values of all the coins:
0.10 (x - 7) + 0.05x + 0.25x5) Equal to the total value of $ 5.90:
0.10 (x - 7) + 0.05x + 0.25x = 5.906) Compare with the equation written by Elliot:
0.10 (7 - x) + 0.5(x) + 0.25(0.5x)=5.907) Conclusion:
There are two errors:
He wrote 7 - x, instead of 7 - x. That means that the first error was indicated by the first statement: He should have written the expression for the number of dimes as x - 7.He wrote 0.5x instead of 0.05x. That means that the second error was indicated by the third statement: He should have written the coin value for the nickel as 0.05.Answer:
for the people on edgen the answer is the first and the third options
Step-by-step explanation:
uhhh
This pair of figures is similar. Find the missing side.
Answer:
x = 12Step-by-step explanation:
If given figures are similar, then corresponding sides are in proportion.
Therefore we have the equation:
[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex] cross multiply
[tex](14)(x)=(3)(56)[/tex]
[tex]14x=168[/tex] divide both sides by 14
[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,
(10/40) = (14/56) = (14/56) = (3/x)
1/4=3/x
x = 12
Hence, the length of the missing side is 12 units.
Learn more about Similar Figures:
https://brainly.com/question/11315705
#SPJ2
Find the coordinates of the point P that lies
along the directed segment from R(-3,-4)
to S(5,0) and partitions the segment in the
ratio 2 to 3.
The coordinates of point P are: (1/5 , -12/5)
Step-by-step explanation:
Here
R(-3,-4) = (x1,y1)
S(5,0) = (x2,y2)
The ratio is: 2:3
The coordinates of a point that divides the line in ratio m:n are given by:
Let P be the point then
[tex](x_P, y_P) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
Putting values
[tex](x_P, y_P) = (\frac{(2)(5)+(3)(-3)}{2+3},\frac{(2)(0)+(3)(-4)}{2+3})\\= (\frac{10-9}{5},\frac{0-12}{5})\\=(\frac{1}{5},\frac{-12}{5})[/tex]
Hence,
The coordinates of point P are: (1/5 , -12/5)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
brainly.com/question/4054269brainly.com/question/4163549#LearnwithBrainly
Tony drives his car.
He drives the first 13 miles in 13 minutes.
He then drive at an average speed of 68 mph for 1 hour 24 minutes.
Use the information given on the table to find out how much petrol he uses.
Average speed Miles traveled per gallon
65 mph or less 50
More than 65 mph 40
Answer:
The total amounts of petrol used up by his car is 3.235 gallons.
Step-by-step explanation:
Tony drives his car and drives the first 13 miles in 13 minutes.
So, the average speed was [tex]\frac{13}{13} \times 60 = 60[/tex] mph.
which is less than 65 miles per hour, and the miles traveled per gallon is 50.
So, 50 miles of travel is done by 1 gallon of petrol.
Hence, 13 miles travel is done by [tex]\frac{13}{50} = 0.26[/tex] gallons of petrol.
Now, Tony then drives at an average speed of 68 mph > 65 mph for 1 hour and 24 minutes i.e. 1.75 hours.
Then he travels (68 × 1.75) = 119 miles and the miles traveled per gallon is 40.
So, 40 miles of travel is done by 1 gallon of petrol.
Hence, 119 miles travel is done by [tex]\frac{119}{40} = 2.975[/tex] gallons of petrol.
Therefore, the total amount of petrol used up by his car is (0.26 + 2.975) = 3.235 gallons. (Answer)
16. Hailey walks at an average rate of 3.5 miles
per hour. Last month, she walked 3 weeks
at her regular rate for 6 hours per week.
She walked 1 week at one-half her regular
rate for 4 hours. Write and evaluate a
numerical expression to find the total
number of miles Hailey walked last month.
Answer:
Hailey walked 70 miles last month.
Step-by-step explanation:
Consider the provided information.
Hailey walks at an average rate of 3.5 miles per hour.
She walked 3 weeks at her regular rate for 6 hours per week.
[tex]3\times (6\times 3.5)=3\times 21=63[/tex]
Hence, she walk 63 miles in last 3 weeks.
She walked 1 week at one-half her regular rate for 4 hours.
Half of her regular rate is [tex]3.5\div2[/tex]
Therefore, the distance covers
[tex]1\times (3.5\div2)4=7[/tex]
The sum of distance is: 63+7=70
Hailey walked 70 miles last month.
What is X-1/4 - x+2/5=-1
Answer:
x = -7
Step-by-step explanation:
(x-1)/4-(x+2)/5=-1
[5(x-1) - 4(x+2)]/20 = -1
5x-5-4x-8 = -20
x-13= -20
x= -20 +13
x= -7
what is the solution of the system?
[tex]y = 2x - 4 \\ 3x - 2y = 8[/tex]
Solution of system of linear equation y = 2x – 4 and 3x - 2y = 8 is x = 0 and y = -4
Solution:Need to determine solution of following system of linear equation
y = 2x – 4 ------(1)
3x - 2y = 8 ------(2)
If we observe the equation (1), we can say that we are having value of y in terms of x. so substitution method is the best approach to solve the above system of linear equation.
In substitution method, we will substitute value of y in equation (2) in terms of variable x from equation (1)
On substituting y = 2x – 4 in equation (2) , we get equation in one variable that is x which is as follows
3x – 2 (2x – 4 ) = 8
=> 3x – 4x + 8 = 8
=> -x = 8 – 8
=> x = 0
On substituting x = 0 in equation (1), we get
y = 2 x 0 – 4
=> y = -4
Hence solution of system of linear equation y = 2x – 4 and 3x - 2y = 8 is x = 0 and y = -4
Two trains leave a town at the same time heading in opposite directions. one train is traveling 12 mph faster than the other after two hours, they are 232 miles apart. what is the average speech of each train ?
52; 64
Step by step explanation:So the train is going the opposite direction so the two train add to 232 which is model by this formula:
x+12 = y
2(y+x) = 232
so the x is the slower train mph and the y is the faster train mph, you can substitute y with x+12:
2((x+12)+x) = 232
2(2x+12) = 232
4x + 24 = 232
4x + 24 = 232 - 24
4x = 208
4x/4 = 208/4
x = 52
52 + 12 = y
y = 64
so the slower train is 52 and the faster train is 64
Answer:
52
Step-by-step explanation:
Solve using substitution please
y=-3x - 10
y = 6x + 8
Answer:
x= -2
Step-by-step explanation:
Because both functions are equal to y wr can set the equations equal to each other and solve for x
-3x-10=6x+8
-3x=6x+18.
-9x=18
x=-2.
25 Which expression is a factor of 36x2 - 49?
A
18% - 7
B 6x - 49
C 18% - 49
D 6x - 7
Answer:
D.6x-7
Step-by-step explanation:
Answer:
B. 6x-49
Step-by-step explanation:
36x2-49
36x2=72
72-49=23
18%-7= (-6.82)
6x-49=(-43)
18% - 49=(-50.26)
23-(-6.82)=16.18
23-(-43)=66
23-(-50.26)=73.26
How high should the engineer make the hill?
Answer: The height of hill is 125 feet.
Step-by-step explanation:
Given that velocity of the rollercoaster is [tex]v= \sqrt{(v_\limit{0}^{2} )+64h}[/tex]
Where, [tex]v_\limit{0}[/tex] is initial velocity and h is height from top of hill.
and v is velocity at height h.
Initial Velocity [tex]v_\limit{0}[/tex] is 10feet/sec at top of hill.
Also, Velocity at bottom of the hill is 90feet/sec.
Therefore, the value of h at top of the hill is h=0 and value of h at bottom of the hill is h=h
[tex]v= \sqrt{(v_\limit{0}^{2} )+64h}[/tex]
[tex]90= \sqrt{(10)^{2} +64h}[/tex]
[tex]90^{2}= 10^{2} +64h[/tex]
8100=100+64h
8000=64h
h=125 feets.
Thus, The height of hill is 125 feet.
Choose the answer that best translates
the algebraic expression below.
3a - 5
the product of 3 and a number, increased by 5
5 less than 3 times a number
5 more than 3 times a number
the quotient of 3 and a number, decreased by 5
Answer:
OPTION B
Step-by-step explanation:
3a - 53 and 'a' are multiplied and 5 is subtracted from the result.
OPTION B says 5 less than 3 times a number would fit perfectly.
Other options talk about adding or taking ratios and clearly do not fit the case.
Hence, the right answer is Option B.
What 2000 multiply by 12
Answer:
24000
Step-by-step explanation:
2000 * 12
= 2 * 12 *(1000)
=24*1000
If we want to multiply by 1000 we "tack" three zeros onto the end.
24000.
Answer: 24,000
Step-by-step explanation: if 2,000 multiplied by 10 = 20,000, and 2,000 multiplied by 2 = 4,000, then if you add those together you get 24,000
Find the sum -6+3 explanation for this answer
Answer:
-3
Step-by-step explanation:
-3-3=-6
Answer:
-3
Step-by-step explanation:
ok so -6 +3
-6 is negative and when you add the 3 you move to the left closer to the 0
you end up with -3
Shannon's chair is 20 inches tall. How tall is it in centimeters?
(The proportional relationship between inches and centimeters is 2.54 cm/1 in .)
7.87 cm
49 cm
50.8 cm
40 cm
Answer:
50.8 centimeters
Step-by-step explanation:
So, if Shannon's chair is 20 inches tall, you would multiply that by 2.54 in order to get the length in centimeters.
20 x 2.54 = 50.8.
So Shannon's char is 50.8 centimeters tall.
A sidewalk 3 feet wide surrounds a rectangular plot of ground that measures 75 feet by 100 feet. Find the area of the sidewalk
Answer:
Step-by-step explanation:
Area of side walk = (106 * 81) - (100 * 75)
Area of side walk = 8586 - 7500 = 1086 square foot.
Find the product. Simplify if possible.
[tex]\frac{4}{2a}[/tex] · [tex]\frac{a}{11}[/tex]
A. [tex]\frac{5}{13}[/tex]
B. [tex]\frac{2}{11}[/tex]
C. [tex]\frac{2}{11a}[/tex]
D. [tex]\frac{2a}{11}[/tex]
Answer:
B) 2/11
Step-by-step explanation:
(4/2a)(a/11)
4/2a=2/a
(2/a)(a/11)=2/11
How long is a guy wire reaching from the top of a 6ft. Pole to a point on the ground 4ft. From the pole
Answer:
The guy wire is 7.2111 ft long
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.
Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:
[tex]Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft[/tex]
PLZ HELLPPPPP!!!!!!!!!!Oliver has been given three points A, B, and C that are not on a line and he is trying to construct a circle that passes through all of the three points. His construction so far is shown. What construction has he done? A) Constructed perpendicular lines to the segments he created from the three points. B) Constructed the perpendicular bisector of the two segments he created from the three points. C) Constructed the circle using the intersection point of the perpendicular lines as the center and the length of AB as the radius. D) Constructed the circle using the intersection point of the perpendicular bisectors as the center and the length of the intersection point to any of the original three points as the radius.
Answer:
the answer is b
Step-by-step explanation:
Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)
Answer:
The time taken by smaller pipe to fill the tank alone is 74.2 min
Step-by-step explanation:
Given as :
The time taken by two pipes to fill tank = 19 min
Let the time taken by larger pipe to fill tank = y
And the time taken by smaller pipe to fill tank = x
According to question
The smaller pipe takes 49 minutes longer than larger pipe
I.e x = y + 49
Now,
[tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, [tex]\dfrac{1}{y + 49}[/tex] + [tex]\dfrac{1}{y}[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, [tex]\dfrac{y + 49 + y}{y^{2} + 49 y }[/tex] = [tex]\dfrac{1}{49}[/tex]
Or, 2 y + 49 = [tex]\dfrac{y^{2}+49y }{19}[/tex]
Or, 19 × ( 2 y + 49 ) = y² + 49 y
Or, 38 y + 931 = y² + 49 y
Or, y² + 49 y - 38 y - 931 = 0
or, y² + 11 y - 931 = 0
Or, Applying quadratic equation method to calculate the value of y
so, y = [tex]\frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]
Or, y = [tex]\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}[/tex]
Or, y = [tex]\frac{- 1 \pm \sqrt{121+3724}}{2}[/tex]
or, y = [tex]\frac{- 1 \pm \sqrt{3845}}{2}[/tex]
or, y = [tex]\frac{- 1 \pm 62.008}{2}[/tex]
∴ y = 25.2 , - 36.5
So, The time taken by larger pipe = y = 25.2 min
and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min
Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer
I need help trying to get the value of the x angle, here's an image of it
Answer:
x = 20°
Step-by-step explanation:
See the attached diagram.
Given that B and C are the two centers of two equal circles.
Now, ∠ ECD = 80° also given.
Now, Δ BCE is an isosceles triangle as BC = CE = Radius of the circle.
So, ∠ EBC = ∠ CEB.
Now, ∠ ECD = ∠ EBC + ∠ CEB = 80°
⇒ 2 ∠ EBC = 80°
⇒ ∠ EBC = 40°
Again, the triangle Δ ABF is an isosceles triangle as AB = BF = Radius
So, ∠ BAF = ∠ BFA = x°
Now, ∠ EBC = ∠ BAF + ∠ BFA = 40°
⇒ x° + x° = 40°
⇒ 2x = 40
⇒ x = 20° (Answer)
Please help!!! I’ll mark you as brainliest
Answer:
The correct answer is 17 weeks.
Step-by-step explanation:
First, write an equation:
total cost = (30)weekly + deposit
Let's solve:
1004.51 = 30w + 500
504.51 = 30w Subtract 500 from both sides
16.817 = w Divide both sides by 30
17 = w Round up (money always rounds up)
Hope this helps,
♥A,W,E,S.W.A.N.♥
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answer:
[tex]Angle\ b= 70\°[/tex]
Step-by-step explanation:
The correct question is
Angle a and angle b are vertical angles
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
we know that
Vertical Angles are the angles opposite each other when two lines cross. They are always congruent.
m∠a=m∠b -----> by vertical angles
substitute the given values
[tex](8x+6)\°=(4x+38)\°[/tex]
solve for x
[tex]8x-4x=38-6[/tex]
[tex]4x=32[/tex]
[tex]x=8[/tex]
Find the measure of angle b
[tex]Angle\ b= (4x+38)\°[/tex]
substitute the value of x
[tex]Angle\ b= (4(8)+38)\°[/tex]
[tex]Angle\ b= 70\°[/tex]
Where the above parameters are given, the measure of angle b is 70°.
How to compute the above angleGiven:
Angle a = 8x + 6
Angle b = 4x + 38
Since angle a and angle b are vertical angles, they are equal:
8x + 6 = 4x + 38
Now, let's solve for x:
8x - 4x = 38 - 6
4x = 32
x = 32 / 4
x = 8
Now that we've found x, we can substitute it back into the equation for angle b to find its measure:
Angle b = 4x + 38
= 4 * 8 + 38
= 32 + 38
= 70
So, the measure of angle b is 70°.
Learn more about angles at:
https://brainly.com/question/25770607
#SPJ3
PLEASE SOLVE THE QUESTION BELOW
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
we have
[tex]-8(8-x)=\frac{4}{5}(x+28)[/tex]
solve for x
Applying distributive property both sides
[tex]-8(8)-8(-x)=\frac{4}{5}(x)+\frac{4}{5}(28)[/tex]
[tex]-64+8x=\frac{4}{5}(x)+\frac{112}{5}[/tex]
Multiply by 5 both sides to remove the fractions
[tex]-64(5)+8x(5)=4x+112[/tex]
[tex]-320+40x=4x+112[/tex]
subtract 4x both sides
[tex]-320+40x-4x=4x+112-4x[/tex]
[tex]-320+36x=112[/tex]
Adds 320 both sides
[tex]-320+36x+320=112+320[/tex]
[tex]36x=432[/tex]
divide by 36 both sides
[tex]x=12[/tex]
The quotient of four and a number increased by 23.
Answer:
Step-by-step explanation:
4/(x+23)
The quotient of four and a number increased by 23 will be (x/4) + 23.
What is the quotient?The divisor and the number being divided by it are referred to as the dividend and the number being divided by it, respectively. The result of division is the quotient.
Mathematical operations, such as number addition, subtraction, multiplication, and division, must be applied. It has the fundamental operators +, -, ×, and ÷.
It is given that the quotient of four and a number increased by 23.
Let the number be x.
The quotient indicates division as x/4.Further, it increases by 23 as,
(x/4) + 23.
Thus, the quotient of four and a number increased by 23 will be (x/4) + 23.
Learn more about the quotient here,
https://brainly.com/question/16134410
#SPJ2
exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x increases, but the function never reaches y=4
would it be decreasing or increasing and will it point down or up?
PLZ ANSWER ASAP
Answer:
[tex]f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
The exponential function is increasing and is concave down
Step-by-step explanation:
Let the equation of exponential function be
[tex]f(x)=a\cdot b^x+c,\ ,\ b>0[/tex]
1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,
[tex]3=a\cdot b^0+c\\ \\3=a+c[/tex]
2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,
[tex]0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c[/tex]
3. Function is always increasing as the value of x increases, but the function never reaches y=4, so
[tex]c=4[/tex]
Hence,
[tex]\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.[/tex]
So,
[tex]a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
gia has 80 tiles. each tile is white and blue. she arranges the tile in 8 equal rows. each row has an equal number of white and blue tiles. how many blue tiles are in each row?
Answer:
5 blue tiles
Step-by-step explanation:
Answer: 5 blue tiles are in each row
Step-by-step explanation:
If Gia has 80 tiles and puts them in all in 8 equal rows there would be 10 rows because 80÷8=10. So considering the fact that there is a equal number of blue and white tiles I divided 10 by 2 and I got 5 so I came to the conclusion that there is 5 blue tiles in each row and there is 5 white tiles in each row.
What value of k makes the factor (x+3) a factor of the function f(x)= 3x^3–2x+k? Someone plz help!!!! It’s for pre cal! It’s using the synthetic division
Answer:
75
Step-by-step explanation:
Since x+3 is the factor of the function f(x) .
So, -3 should satisfy f(x),
Thus putting -3 in f(x) we get
3×[tex](-3)^{3}[/tex]-2×(-3)+k = 0
-81+6+k = 0
k = 75.
So , k should be equal to 75.
In how many ways can 9 cells of a6×6 grid be painted black such that no two black cells share a corner or an edge with each other?
I'm not sure, so I won't answer it, in case you get it wrong
On March 20, 2011, a $1,000 bond had a selling price of $987.50. What was the quoted price for the bond?
987.5
0.9875
9.875
98.75
None of these choices are correct.
Answer:
98.75%.
Step-by-step explanation:
On March 20, 2011, a $1000 bond had a selling price of $987.50.
We are asked what will be the quoted price for the bond.
Now, the quoted price of a bond is the price at which the bond was last traded and it is expressed as the percentage of the original bond value.
So, in our case the quoted price will be [tex]\frac{987.50}{1000} \times 100 = 98.75[/tex] %. (Answer)