Answer:
6.4 packs (7 as integer)
Step-by-step explanation:
Area of the square: 8^2 = 64 m^2
64 : 10 = 6.4
You exercise for 3/4 of an hour. You jump rope for 1/3 of that time. What portion of the hour do you spend jumping rope?
Answer:
15 minutes
Step-by-step explanation:
The 3/4 of an hour is,
→ 60 × (3/4)
→ 180/4 = 45
Now required time spend on rope is,
→ 45 × (1/3)
→ 45/3 = 15 minutes
Hence, he had spend 15 minutes.
Directions: Write an equation passing through the point and PARALLEL to the given line.
1. (4, 7); y = 3x+6
Answer: y=3x-5
Step-by-step explanation:
This was the answer i got after solving
Hope that helped :)
Screenshot is the proof of the answer btw :)
Find x
80°
x+51
X =
OK
60°
ALGEBRA
For the given triangle and the measures of the given angle the value of x is equal to -11° .
As given in the question,
For the given triangle,
Let us consider the triangle name ABC,
Where, m ∠A = x + 51° ,
m ∠ABC = 80° ( vertically opposite angle of given 80° angle.)
m ∠ACB = 60° ( vertically opposite angle of given 60° angle.)
To get the value of x we have,
Sum of all the interior angles of a triangle is equal to 180°
m ∠A + m ∠B + m ∠C = 180°
⇒ x + 51° + 80° + 60° = 180°
⇒ x + 191° = 180°
⇒ x = 180° - 191°
⇒ x = - 11°
Therefore, for the given triangle and the measures of the given angle the value of x is equal to -11° .
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carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards. 12. what is the probability that she chooses 4 spades and 2 cards that are not spades? a. 0.0692 b. 0.0260 c. 0.2811 d. 0.1376 e. 0.0815 13. what is the probability that she chooses 2 red face cards? a. 0.7809 b. 0.3741 c. 0.2387 d. 0.1202 e. 0.6601
Using the theories of probability, we got that 0.0260 is the probability of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards from a well shuffled deck of 52 playing cards..
We know a deck of 52 playing cards has 13 hearts, 13 clubs, 13 spades,
13 diamonds.
∴ The possibility that she chooses 4 spades and 2 cards that are not spades is,
= ([tex]^1^3C_4[/tex]×[tex]^3^9C_2[/tex])/([tex]^5^2C_6[/tex])
As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48
and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.
= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!
= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)
= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)
= (529815)/(20358520)
= 0.026.
Similarly, the probability of choosing 2 red face card is given by
=([tex]^6C_2[/tex]×[tex]^4^6C_4[/tex])/([tex]^5^2C_6[/tex])
=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]
=(15×163185)/20358520
=0.1202.
Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.
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Solve for y
q• (a + y) = 67y + 93
Answer: y = 160/q -a
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
A merchant offers a large group of items at 18% off. later, the merchant takes 10% off these price sales and claims that the final price of these items is 86 off the original price. what is the total percent discount?
26.2% is the total percent of discount offered by the merchant.
Let us assume that each item is $100.
As it is given that 18% is off, we have an amount after off is:
Amount after 18% off = 100 × (100 - 18)/ 100
= 100 × 0.82
= 82
Next, there is 10% off
So the amount become = 82 ×( 100 - 10) / 100
= 82 ×0.9
= 73.8
So the final price of an item is $73.8
The discount = (100 - 73.8) / 100
= 26.2%
Therefore the total percent of discount is 26.2%.
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graph the equation y-2x=0 and y=6x-10
A graph of the given system of linear equations is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rewrite the first equation in standard form as follows:
y - 2x = 0
Adding 2x to both sides of the equation, we have the following:
y - 2x + 2x = 0 + 2x
y = 0 + 2x
y = 2x
By critically observing the graph (see attachment), a solution to the given system of linear equations are 2.5 and 5.
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4x−1=3y+5 khan academy
The slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is a equation of a straight line as -
4x - 1 = 3y + 5
We have the equation as follows -
4x - 1 = 3y + 5
Rearranging the equation -
3y = 4x - 1 - 5
3y = 4x - 6
y = (4/3)x - 2
Refer to the graph attached.
The slope of the line is [m] = 4/3
The [y] intercept is at [c] = -2
Therefore, the slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2
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Find the measures of each numbered angle:
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the predicted fuel efficiency for a speed of 30 mph?
17. 67 mpg
26. 50 mpg
30. 00 mpg
37. 74 mpg
The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.
What is the least-squares regression line?If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.
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Write a linear function f with the values f(0) =10 and f(6) =34.
Answer:
f(x) = 4x + 10
Step-by-step explanation:
The given information is in the form f(x) = y.
f(0) = 10 means if x is 0, y is 10. This is the point (0,10)
Likewise, f(6) = 34
means when x is 6, y is 34. That is the point (6,34).
Slope is y-y / x-x
34-10 / 6-0
is 24/6.
The slope is 4.
The y-intercept is where x is 0, that is 10.
y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.
y = 4x + 10
but they also asked to call it f, so for function notation, use f(x) instead of y.
f(x) = 4x + 10
Can someone help me with this aleks question
For the given triangles ΔTRS and ΔQRP , the required step to prove both the triangles are congruent is ∠TRS ≅ ∠QRP.
As given in the question,
Two triangles ΔTRS and ΔQRP,
It is given that :
Line segment SR ≅ Line segment PR
Line segment SP bisects Line segment TQ
⇒ line segment TR ≅ line segment RQ
∠TRS ≅ ∠PRQ ( by vertically opposite angle )
By Side angle side theorem we have ,
ΔTRS ≅ ΔPRQ
Therefore, for the given triangles ΔTRS and ΔQRP ,the required step to prove both the triangles are congruent is ∠TRS ≅ ∠QRP.
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Find the solution to the following equation: 2(2x - 7) = 14
x = 14
x = 7
x = 1
x = 0
Answer:
x=7
Step-by-step explanation:
2(2x - 7) = 14
Solve for x
Divide each side by 2
2/2(2x - 7) = 14/2
2x-7 = 7
Add 7 to each side
2x-7+7 = 7+7
2x = 14
Divide each side by 2
2x/2 = 14/2
x = 7
Answer:
b) x = 7
Step-by-step explanation:
Given equation,
→ 2(2x - 7) = 14
Now the value of x will be,
→ 2(2x - 7) = 14
→ 4x - 14 = 14
→ 4x = 14 + 14
→ x = 28/4
→ [ x = 7 ]
Hence, the value of x is 7.
Find the measurement of X.
Answer:333
Step-by-step explanation:
Since this is a scalene triangle, two sides will equal the same, meaning two angles will equal the same. So 70 has an equal on the other side, meaning 70+70=140, and x will equal the remainder, meaning x=40.
Hope that helps.
What is a,b,c and day
[tex]a=-5(-3)-2=13\\\\b=-5(-1)-2=3\\\\c=-5(1)-2=-7\\\\d=-5(2)-2=-12[/tex]
Answer:
A = 13 B = 3 C = -7 D = -12
Step-by-step explanation:
Just insert the x values for a, b, c, and d. for example if we were to find a.
The x value for a is -3 so we would put -3 in place of x in the equation.
-5(-3) - 2
Remember: Two negative numbers multiplied with each other equal a positive.
15 - 2 = 13
Alonso went to the store to buy some almonds. The price per pound of
the almonds is $7.25 per pound and he has a coupon for $3.50 off the
final amount. With the coupon, how much would Alonso have to pay to
buy 5 pounds of almonds? Also, write an expression for the cost to buy
p pounds of almonds, assuming at least one pound is purchased.
The required price of almond and expression are $32.75 and c= $7.25P - $3.5 respectively.
What is pound?Pound is unit used to measure weight of quantity. It is used by the English speaking peoples.It equal to the 16 ounces and 0.454 kilogram.
According to given information:Alonso has a coupon of $3.5, let us consider P pound of almond. And price per pound of almond is $7.25
So, equation for the cost,
Cost(c) = $7.25P - $3.5
Then, the price of 5 pound of almond = $7.25×5 - $3.5
⇒ $36.25 - $3.5 = $32.75
Thus, the price of 5 pounds of almond is $32.75.
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HELPPPP MEEEEE PLEASE!!!!
determine if line AB and line CD are parallel, perpendicular or neither
Answer:
Line 1 is considered perpendicular
Line 2 is considered parallel
Line 3 is also parallel
Step-by-step explanation:
This should be right if this is the rest to your problem:
1. Line AB formed by A(-1,3) and B(1,5); Line CD formed by C(2,3) and D(-2,7)
2. Line AB formed by A(3,8) and B(-6,5); Line CD formed by C(-6,7) and D(-3,8)
3. Line AB formed by A(2,-7) and B(2,3); Line CD formed by C(-4,0) and D(-4,-5)
Which number should be on the bottom left stamp?
Explain what the answer is and how you got it!
The number that should be on the bottom left stamp is 1. It was gotten by dividing 2 by 2.
What will the number be?From the first picture, we have 82 and the number below it is 4. This was gotten as:
= 8 ÷ 2
= 4
The second picture has 93 and the number below it is 3. This was calculated as:
= 9 ÷ 3
= 3
The third picture has 61 and the number below it is 6. This was calculated as:
= 6 ÷ 1
= 6
The fourth picture will be:
= 2 ÷ 2
= 1
Therefore the value is 1.
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Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral.
The dimension of the rectangle of the largest area in an equilateral triangle is √3/4L.
Here we have to find the dimension of the rectangle of the largest area.
Let the distance from the tip of the base of the triangle to the point that the top of the rectangle meets the triangle be x.
The width of the rectangle is √3/2 x.
By this, we can find the area of the rectangle
Area = √3/2x ( L -x) = √3/2 xL - √3/2x²
To find the maximum area we have:
dA/ dx = 0
dA / dx = √3/2L - √3x = 0
From we have to find the value of x,
√3 x = √3/2L
x = L/2
The dimension of rectangle is √3/2x = √3/2(L/2)
= √3/4 L
Therefore the dimension of the rectangle is √3/4 L.
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1. Vanessa works as an event planner during the summer. She makes $50 for every birthday
party she plans and $100 for every wedding she plans. Her goal every summer is to make
$1000 to put towards college. Write an equation that represents the number of parties (x) and
the number of weddings (y) that Vanessa could plan during the summer in order to meet her
$1000 goal:
The required equation for the given condition is 50x + 100y = 1000.
What is an algebraic expression?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).
Given, the charge for every birthday party =$50
number of birthday parties = x
So, the total charge for birthday parties = 50x
the charge for every wedding = $100
the number of weddings = y
So, the total charge for the wedding = 100y
Then,
Total amount achieve = $1000
or, 50x + 100y = 1000
Hence, the required equation is 50x + 100y = 1000.
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Decide whether each equation is true for all, one, or no values of x.
Answer:
For the first equation, it is "True for one value of x."
For the second equation, it is "True for no value of x."
For the third equation, it is "True for all values of x."
Step-by-step explanation:
Just solve the equation and check the numbers:
If both numbers are the same, it is "true for all values of x"
If there is a variable and a number, it is "true for one value of x"
If there are two numbers and they are different, it is "true for no values of x"
Hope this helps!
Please give brainliest
We need to check whether the given equations are true for all values of [tex]x[/tex] , one value of [tex]x[/tex] , or no values of [tex]x[/tex] .
The equations are ,
[tex]3x +9 = -4.5x +20[/tex]solve this equation for x ,
[tex]\longrightarrow 3x +9=-4.5x+20\\[/tex]
[tex]\longrightarrow 3x+4.5x =20-9\\[/tex]
[tex]\longrightarrow 7.5x =11\\[/tex]
[tex]\longrightarrow \underline{\underline{x =\dfrac{11}{7.5}}}[/tex]
Hence the equation is true for one value of x .
[tex] 9(x+3)=9x+12[/tex]solve out for x ,
[tex]\longrightarrow 9x +27=9x-12\\ [/tex]
[tex]\longrightarrow 9x -9x =-27-12\\ [/tex]
[tex]\longrightarrow 0 = -39[/tex]
This can never to true , so the equation is true for no values of x .
[tex]4(2x+3)=12+8x[/tex]solve out for x ,
[tex]\longrightarrow 8x+12=12+8x \\[/tex]
[tex]\longrightarrow 12-12=8x-8x\\[/tex]
[tex]\longrightarrow 0=0 [/tex]
Hence this equation is true for all values of x .
And we are done!
The radius of a circle is 15 inches. What is
the circumference of the circle? Write
your answer using T.
Answer: 30[tex]\pi \\[/tex] or 94.247
Step-by-step explanation:
Circumference=2[tex]\pi[/tex]r
2·[tex]\pi[/tex]·15=30[tex]\pi[/tex]=94.247
Answer:
94.2in.
Step-by-step explanation:
The formula for circumference is 2radius x π
π≈3.14
So we can say:
30in.x3.14=circumference
30x3.14=94.2
94.2in=circumference
(i.e. I don't know what you mean by using T.)
Which of these expressions can be used to calculate the monthly payment for
a 25-year loan for $150,000 at 13.8% interest, compounded monthly?
O A.
OB.
$150 000 0.0115 (1+0.0115) 300
(1+0.0115) 3⁰0 +1
OD.
$150 000 0.0115(1-0.0115) 300
(1-0.0115) 300 -1
O C. $150 000 .0.0115 (1+0.0115) 3⁰⁰0
(1+0.0115) 300-1
$150 000 0.0115(1-0.0115) 3⁰⁰
300
(1-0.0115) 3⁰⁰ +1
The monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
What is compound interest?
When you earn interest on both the money you've saved and the interest you've earned, this is known as compound interest.
what is the monthly payment?
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.
Here,
We know that the monthly payment is given as
MP = [Pr(1 + r)¹²ⁿ] / [(1 + r)¹²ⁿ - 1]
Where MP monthly payment, P is the initial amount, r is the rate of interest, and n is the number of years.
we have
r = 0.0115
P = $150,000
n = 25 * 12
n = 300
Then we have
MP = $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
Hence, the monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
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Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
-4, (-2 , 1)
0, (-1, 21)
The equation of straight line having
(a) gradient -4 and coordinates (-2,1) is 4x + y [tex]=[/tex] -7
(b) gradient 0 and coordinates (-1,21) is y = 21 .
In the question ,
the gradient and coordinates of the point on the line is given .
we have to find the equation of the straight line .
Part(a)
the gradient of the line [tex]=[/tex] -4 ,
the coordinates of a point on the line = (-2,1)
So , the equation of the line is
(y - 1) = (-4)*(x -(-2))
y - 1 = -4(x + 2)
y - 1 = -4x - 8
4x + y = -8 + 1
4x + y = -7
the equation is 4x + y = -7 .
Part(b)
the gradient of the line = 0 ,
the coordinates of a point on the line = (-1 , 21)
So , the equation of the line is
(y - 21) = 0(x-(-1))
y - 21 = 0
y = 21
the equation of the line is y = 21 .
Therefore , The equation of straight line having (a) gradient -4 and coordinates (-2,1) is 4x + y [tex]=[/tex] -7 and (b) gradient 0 and coordinates (-1,21) is y = 21 .
The given question is incomplete , the complete question is
Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
(a) -4, (-2 , 1)
(b) 0, (-1, 21)
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Can write the equation to this problem?
The equation, in vertex form, of the graph in the diagram is determined as: y = 1|x - 3| + 5.
What is the Equation of a Graph that Represents an Absolute Value Function?The formula that represents the equation in vertex form of an absolute value function is y = a|x - h| + k, where:
Vertex = (h, k).
Therefore, we will need to determine what the values of a, h, and k is using the information derived from the graph.
Thus:
(h, k) = (3, 5)
a = 1 (this is because the graph opens upward)
To write the equation of the graph, substitute a = 1, h = 3, and k = 5 into:
y = 1|x - 3| + 5
The equation is, y = 1|x - 3| + 5.
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What is the image of (5,8) after the reflection over the line y=-x?
The image of (5, 8) after a reflection over the line y = - x is (-5, -8 ).
To see the graph.
Given,
In the question:
What is the image of (5,8) after the reflection over the line y= -x?
Now, According to the question:
The image of (-5,8) after a reflection over the y-axis
When a point is reflected over y axis, then the value of x changes to -x.
the value of y remains the same.
But, It is given that the reflection over the line y= -x
Hence, The image of (5, 8) after a reflection over the line y = - x is
(-5, -8 ).
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Please Help!
Solve the inequality and graph it’s solution.
Answer:
Step-by-step explanation:
You have to multiply both sides by 3 so its -9>-5+n. Then add each side by 5. The answer is n<-4 (D)
Answer:
D) n<-4
Step-by-step explanation:
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?
write each choice into the boxes to correctly complete the table. *picture below *
Step-by-step explanation:
in order to be able to decide each case we need the slopes of all involved lines.
and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.
parallel lines have the same slope.
the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.
"neither" is everything else.
our reference line
x + 2y = 6
2y = -x + 6
y = -1/2 x + 3
so, the reference slope is -1/2.
y = -1/2 x - 5 is parallel (same slope).
-2x + y = -4
y = 2x - 4 perpendicular (2/1 vs. -1/2)
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 neither
x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).
2y = -x - 2
y = -1/2 x - 1
Dina pours 16-ounce containers of juice into a dispenser with a capacity of 960 ounces. The function y = 16x models this situation. What is the range of the function?
The range of the function is [0, 960]
How to determine the range of the function?From the question, we have the equation of the function to be
f(x) = 16x
Where
The size of the container is 16 ouncesThe capacity of the dispenser is 960 ouncesWhen the dispenser is empty, it means that f(x) = 0
When the dispenser is full, it means that f(x) = 960
When these values are combined, they represent the range
In other words, the range is 0 to 960
This can be rewritten as [0, 960]
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Answer:
big black men
Step-by-step explanation:
(i have your search history)
