1 3/8 as an improper fraction is 11/8
Answer:
1 3/8 = 11/8 as a improper answer
Step-by-step explanation:
You have to make your whole number into a numerator along with your original numerator.
Improper fraction: When your numerator is greater than your denominator.
????????? help ?????????? please
Answer:
(y-x=1.75)×2
2y-2x=3.5
2y-2x+4x-2y=3.5+4
2x. =7.5
X=3.75
y-x=1.75,
y. =1.75+3.75
y=5.5
pls help with this :)))
Answer:
A
Step-by-step explanation:
Radius = 8
Volume = (pi)r^2(h)
Volume = (pi)8^2(7)
The point Q has coordinates (2,3) The point R has coordinates (a,b) A line perpendicular to QR is given by the equation 5x+2y=9 Find an expression for b in terms of a
B = (2a + 11)/5 is an expression for b when expressed in terms of a.
What exactly are slopes and lines?
We are aware that lines might have several kinds of equations; the typical form is
The equation of a line in slope-intercept form is Ax + By + c = 0, and
y = mx + b.
m is the slope, and b is the y-intercept.
The y-intercept, or (0,b), is the point where the line crosses the y-axis when x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.
Given:
Coordinates of point Q = (2,3)
Coordinates of point R = (a,b)
The equation of the line is 5x + 2y = 9 ⇒ 2y = - 5x + 9
Therefore, y = (-5/2)x + 9/2.
We know slope m = (y2 - y1) / (x2 - x1)
∴ m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
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Change the following mixed numbers to improper fractions
a) 4 3/8
b) 2 1/3
c) 5 2/5
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
*to solve multiply the whole number by the denominater and add that total with the numerator, keep the denominater the same
a)
[tex]4 \frac{3}{8} [/tex]
[tex] \frac{32 + 3}{8} = \frac{35}{8} [/tex]
b)
[tex]2 \frac{1}{3} [/tex]
[tex] \frac{6 + 1}{3} = \frac{7}{3} [/tex]
c)
[tex]5 \frac{2}{5} [/tex]
[tex] \frac{25+ 2}{5} = \frac{27}{5} [/tex]
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110°, 15°, and 45°
how to solve the Quadratic formul
Answer:
The answer is x=-6, x=8
Step-by-step explanation:
I recommend using the quadratic formula to solve this problem.
x^2=a
-2x=b
-48=c
Plug it into the quadratic formula.
New equation:[tex]\frac{2+-\sqrt{(-2)^2-4(1)(-48)}}{2(1)}[/tex]
Simplify
Equation: [tex]\frac{2+-\sqrt{4+192}}{2}[/tex]
Add 4 and 192.
Equation: [tex]\frac{2+-\sqrt{196}}{2}[/tex]
Do the square root of 196.
Equation: [tex]\frac{2+-14}{2}[/tex]
Make into two different equations.
Equation 1: [tex]\frac{2+14}{2}[/tex]
Equation 2: [tex]\frac{2-14}{2}[/tex]
Solve the two equations and you will get -6 and 8. Hope this helps!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve using the quadratic formula ⇨ x² - 2x - 48 = 0.[tex] \large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}[/tex]
[tex] \sf \: x ^ { 2 } - 2 x - 48 = 0[/tex]
All equations of the form ax² + bx + c = 0 can be solved using the quadratic formula: [tex]\sf \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
[tex] \sf \: x^{2}-2x-48=0 [/tex]
This equation is in standard form: ax² + bx + c = 0 Substitute 1 for a, -2 for b and -48 for c in the quadratic formula.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-48\right)}}{2} \\ [/tex]
Square -2.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4-4\left(-48\right)}}{2} \\ [/tex]
Multiply -4 times -48.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4+192}}{2} \\ [/tex]
Add 4 to 192.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{196}}{2} \\ [/tex]
Take the square root of 196.
[tex] \sf \: x=\frac{-\left(-2\right)±14}{2} \\ [/tex]
The opposite of -2 is 2.
[tex] \sf \: x=\frac{2±14}{2} \\ [/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2}[/tex] when ± is plus. Add 2 to 14.
[tex] \sf \: x=\frac{16}{2} \\ [/tex]
Divide 16 by 2.
[tex] \boxed{ \boxed{ \bf \: x=8 }}[/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2} [/tex] when ± is minus. Subtract 14 from 2.
[tex] \sf \: x=\frac{-12}{2} \\ [/tex]
Divide -12 by 2.
[tex] \boxed{\boxed{ \bf \: x=-6 }}[/tex]
The equation is now solved.
[tex] \underline{ \bf \: x=8 }\\ \underline{ \bf \: x=-6 }[/tex]
find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0
Answer:
Step-by-step explanation:
line given is x-y+1= 0
you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis
x-y+1 =0 subtract x and 1 from both sides of the equation
-y = -x-1 multiply both sides by -1
y = x+1 so the slope of this line is 1 and the y-intercept is 1
If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2
The sum of -3 times x +6.3 what are all the possible values of x
So x = 2.1 is the only possible value of x that makes the equation true.
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
The equation is given as follows:
-3x + 6.3 = 0
To find the value of x, we need to isolate x on one side of the equation. We can do this by adding 3x to both sides:
-3x + 3x + 6.3 = 0 + 3x
6.3 = 3x
Now we can divide both sides by 3:
x = 6.3/3
x = 2.1
So x = 2.1 is the only possible value of x that makes the equation true.
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DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
Is 2x 3 a linear function?
Answer:
yes
Step-by-step explanation:
The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be 0 or 1 . In this case, The degree of f(x)=2x−3 f ( x ) = 2 x - 3 is 1 , which makes the function a linear function.
A right triangle has one angle that measures 13°. What is the measure of the other acute
angle?
Answer:
25
Step-by-step explanation:
its needs to be under 90
Answer:
Explanation:
A triangle's three interior angles will add up to
180
∘
. Since it's a right angle, that means one angle is
90
∘
and the other is given as
15
∘
.
Therefore,
90
+
x
+
15
=
180
So
x
=
180
−
90
−
15
x
=
75
The acute angle is
75
∘
.
20 points, pls help, its angles
Solve for x using what you know about interior angles of the shape
Answer:
117
Step-by-step explanation:
The figure is five sided, therefore the sum of the angles = (5-2)180
= 3*180
= 540
113 + 123+97+90(since its right angles)+y(unknown) = 540
423 + y = 540
y = 540 - 423
y = 117
Let the angle vertically opposite to y be z
y = z (vertically opposite angles)
z = 117
x = 117 (Corresponding angles are equal)
Hope u understand.
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There are 12 girls and 16 boys in Mr jonsons 3rd period class of these students 3 girls and 4 boys wear glasses what percentage of the Stu in Mr jonsons class wear glasses
Answer:
25%
Step-by-step explanation:
Of the 12 girls and 16 boys in Mr. Johnson's class, 3 girls and 4 boys wear glasses. You want to know the percentage of students in the class who wear glasses.
PercentageThe percentage is the fraction multiplied by 100%. The fraction is the ratio of glasses-wearers to total students.
percentage = (girls w/ glasses + boys w/ glasses)/(girls + boys)×100%
percentage = (3 +4)/(12+16) × 100% = 7/28 × 100% = 25%
25% of the students in Mr. Johnson's class wear glasses.
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Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v
Answer:
hhhhhhhhhhhhhhhh hhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh
Two cars start from the same intersection with one traveling southbound while the other travels eastbound going 10 mph faster. If after 2 hours they are 10sqrt(34) apart, how fast was each car traveling?
The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² = [tex](10 \sqrt{34})^2 \\[/tex]
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?When two or more lines in a plane cross one another, they are referred to as intersecting lines. The common point shared by all intersecting lines is the point of intersection, which can be found on all of them.
What do you mean by Speed?The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² =
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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Find the surface area of the prism.
Answer:
6 x 3 = 18, 18 x 2 = 36
9 x 3 = 27, 27 x 2 = 54
6 x 9 = 54, 54 x 2 = 108
Add all given areas:
108 + 54 + 36 = 198 cm^2 is your answer.
Answer:
198 is surface area
Step-by-step explanation:
length = 6
width = 9
height = 3
use the formula
2(wl+hl+hw )
2(54+ 18+ 27)
99x2 = 198
in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer
The expectation is -$9.6
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.
Expected winning per ticket :
Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket
= 1 + 1.2 + 0.6 + 1 - 7
= 3.8-7
= -$3.2
Expected winning if 3 tickets are purchased :
3 × (-3.2) = -$9.6
Hence, the expectation is -$9.6
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Write an equivalent expression by factoring the expression: 72d + 81
Answer:
9(8d + 9)
Step-by-step explanation:
Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:
72d + 81
9(8d + 9)
So, the factored expression is 9(8d + 9)
Need help with this! Due in 10 mins please
Answer:
I think the third option
Step-by-step explanation:
Have a nice day! Hope this helps! Owa Owa!!!!
Natalia paid a total of 38.95 for 3 pizzas and a salad. The price of each pizza was p dollars. And the price of the salad was 11.98 what is the cost of 1 pizza
Answer:
The cost for 1 pizza is $8.99
Step-by-step explanation:
We know
Natalia paid a total of 38.95 for 3 pizzas and a salad
A salad = $11.98
We first find the total cost of 3 pizzas by
38.95 - 11.98 = $26.97
$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take
26.97 divided by 3 = $8.99
So, the cost for 1 pizza is $8.99
Answer:
The cost of 1 pizza is $8.99.
Step-by-step explanation:
Let
[tex]t[/tex] = total price
[tex]p[/tex] = pizzas
[tex]s[/tex] = salads
Natalia bought 3 pizzas and 1 salad
[tex]38.95=3p+1s[/tex]
We are given the price of the salad.
[tex]38.95=3p+11.98[/tex]
Now we can find the cost of 1 pizza.
Lets solve for [tex]p[/tex].
Subtract 11.98 from both sides of the equation.
[tex]26.97=3p[/tex]
Divide both sides of the equation by 3.
[tex]p=\frac{26.97}{3}\\p=8.99[/tex]
PLEASE HELP!!! PLEASE NO LINKS
Answer: 624
Step-by-step explanation:
12 times 8 is 96 and 96 divided by 2 is 48 and 48 times 13 is 624
A space ship travels at 57 miles per hour and traveled for 521 hours.
Select the answer that represents how many miles the space ship traveled.
Answer:29,697
Step-by-step explanation: multiply 57x521 and you get 29,697
some helppp me plzzz
Answer:
-2, 4
-1, -2
0, 0
1, 2
2, 4
Step-by-step explanation:
X. Y
-2 = 4
-1 = 2
0 = 0
1 = -2
2 = -4
3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto
The given set of ordered pairs does not satisfy a linear function.
What is a linear function?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Given:
The given set of ordered pairs is:
{(3, 2), (4, 3), (5, 4), (6, 5)}
To find:
Whether the given set of ordered pairs satisfies a linear function or not.
Explanation:
The slope of a linear function is:
m = (y₂ - y₁)/ (x₂ -x₁)
The slope of the linear function passes through the points and is:
m₁ = (3-1)/(3-1)
m₁ = 2/2
m₁ = 1
The slope of the linear function passes through the points and is:
m₂ = (9-3)/(5-3)
m₂ = 6/2
m₂ = 3
Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.
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i need help asap plz!!!
Answer:
AC ≈ 10.3
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{9.3}[/tex] ( multiply both sides by 9.3 )
9.3 × tan48° = AC , then
AC ≈ 10.3 ( to 3 sf )
Let r(x) = x2. If r(x) = 4, find x.
if r(x) = x² and r(x) = 4, then the value of x = ± 2
What is equivalent of value?Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
For example y = x+5 and the same y = 2x+7
then we can say that x+5 Is also equal to 2x+7
2x+7 = x+5
then x = -2
similarly r(x) = x²
thesame r(x) = 4
this means that x² = 4
solving for x
we find the square root of both sides
√x² = √4
x= ±2
It is ± because square root value as two possible values of either both positive or both negative.
Therefore the value of x is ±2
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Lighthouse B is 9 miles west of lighthouse A. A boat leaves A and sails 4 miles. At this time, it is sighted from B. If the bearing of the boat from B is NE65, how far from B is the boat?
Answer:
The distance of the boat from B is approximately 9.4 miles
Step-by-step explanation:
The location of light house B from A = 9 miles west
The distance of the boat from A = 4 miles
The bearing of the boat from A = NE65
We have;
4/(sin25) = 9/sin(B)
sin B = 9*sin(25)/4
B ≈ 71.969
a² = 4² + 9² - 2 × 4 × 9 × cos(180 - 25 - 71.969) ≈ 88.264
The distance of the boat from B, a ≈ √88.264 ≈ 9.4
Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5).
y =
The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
The line between these locations' slopes must equal the negative reciprocal of the bisector's slope. It must go through the segment midway.
The slope of the line through the given points :
m = (y2 -y1)/(x2 -x1) = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
Then, The slope of the required bisector: m = -1/(1/2) = -2
The midpoint of the given segment:
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
Then the point-slope form of the equation of the bisector:
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . .standard form equation
Thus, The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
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please help: solve for x
Answer:
x=3
Step-by-step explanation:
Since the altitude of this triangle is at the midpoint of the base,
It is a isosceles triangle making MJ=MK
9x-18=3x
6x-18=0
6x=18
x=3