Answer:
2nd choice
Step-by-step explanation:
Lines p and q are parallel because the alternate exterior angles are congruent.
Jamal traveled 80 miles in 1 1/4 hours. Which expression gives Jamal's speed in miles per hour?
Answer:
64 mph
Step-by-step explanation:
80 divided by 1.25 equals 64
1.25 is the decimal version of 1 and 1/4
Answer:
80/ 1 1/4
Step-by-step explanation:
Also CALM DOWN JAMAL DONT PULL OUT THE 9
URGENT!!!!
An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2 -pound bag of food feed for one week? Explain your solution.
Answer:
13 ocicats
Step-by-step explanation:
Here, we are told that an Ocicat eats 3/5 pounds of food per day.
Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed
What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat
Thus, we have;
19 1/2 divided by 3/5
= 39/5 divided by 3/5
= 39/5 * 5/3
= 13 Ocicats
Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches
Answer: 1/100 of a mile
Step-by-step explanation:
36 inches is equal to 3 feet which is equal to 1 yard
1/100 of a mile = 633.6 inches
Answer:
1/100 of a mile
Step-by-step explanation:
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
P What is the range of the exponential function f(x) = 2 ^ x + 6
Answer:
y ≥6
Step-by-step explanation:
The linear equation 3x – 11y = 10 has
a) Unique solution
b) two solution
c) infinitely many solutions
Answer:
Correct option: c) infinitely many solutions
Step-by-step explanation:
We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.
To find some solutions, we can choose values for x and then just calculate the value of y:
x = 0:
-11y = 10 -> y = -10/11
x = 1:
3 - 11y = 10 -> y = -7/11
x = 2:
6 - 11y = 10 -> y = -4/11
And so on.
So the correct option is c): infinitely many solutions
A linear equation is something of the form:
y = a*x + b
Where the solutions are the pairs (x, y) such that the equality is true.
Here we will find that the correct option is c: infinitely many solutions.
In this case, we have the equation:
3x - 11y = 10
We can rewrite this as:
3x = 10 + 11*y
x = 10/3 + (11/3)*y
Ok, now we have one variable on each side, now let's see the number of solutions.
As you can see, we have one equation with two variables.
So if for example we take y = 0, we get:
x = 10/3 + (11/3)*0 = 10/3
So one solution is (10/3, 0)
If we take y = 1, we get:
x = 10/3 + (11/3)*1 = 22/3
Then another solution is (22/3, 1)
And as you can see, y can take any real value. So we have infinite values of y.
This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.
The correct option is c.
If you want to learn more, you can read:
https://brainly.com/question/16843611
Find the equation of the circle whose center and radius are given.
center (7.-3), radius = 7
Answer:
(x - 7)² + (y + 3)² = 7
Step-by-step explanation:
The equation of a circle is denoted by: [tex](x -x_1)^2+(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius.
Here, the centre is (7, -3), which means [tex]x_1=7[/tex] and [tex]y_1=-3[/tex]. The radius is r = √7. Plug these values into the formula:
[tex](x -x_1)^2+(y-y_1)^2=r^2[/tex]
[tex](x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2[/tex]
[tex](x -7)^2+(y+3)^2=7[/tex]
Thus, the answer is (x - 7)² + (y + 3)² = 7.
~ an aesthetics lover
2/7 - 3/2 for anyone that doesant know that’s a fraction am struggling on
Answer:
-17/14
Step-by-step explanation:
To subtract fractions, you must have a common denominator. If that is not given, you make it.
You do so buy finding the LCM of denominators:
LCM of 7 and 2 = 14
Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:
2x2/14 - 3x7/14 = 4/14 - 21/14.
Now that you have the same denominator, subtract the numerators:
4-21 = - 17
Put it back as a fraction : -17/14
hope this helps.
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
Given △ABC, AB=15, BD=9, AD ⊥ BC , m∠C=30° Find: The perimeter of △ABC.
Answer:
48 + 12√3 units
Step-by-step explanation:
ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)
1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD = 12
2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)
P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units
The perimeter of the given triangle ABC will be 59 units.
What is a triangle?The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.
The perimeter of the triangle will be calculated as:-
First, we will calculate the perpendicular AD by using the Pythagorean theorem:-
AD = √( 15² - 9² )
AD = √144
AD = 12 units
Now we will calculate the Side AC by angle property:-
Sin 30 = 12 / AC
AC = 12 / Sin 30
AC = 12 / 0.5 = 26
The perimeter will be the sum of the all the sides of the triangle:-
P = AB + BC + AC
P = 15 + 18 + 26
P = 59 units.
Therefore the perimeter of the given triangle ABC will be 59 units.
To know more about the perimeter of a triangle follow
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HELP PLZZZZZZ!!!!!!!!!!
Answer:
<1 = <3 = 141
<4 = <2 = 39
Step-by-step explanation:
Angle 2 and angle 4 are vertical angles and vertical angles are equal
<4 = <2 = 39
<4 + <1 = 180 since they form a straight line
39+ <1 = 180
<1 = 141
<1 and <3 are vertical angles so they measure the same
<1 = <3 = 141
Answer:
this is answer
you are welcome
Which ordered pairs are in the solution set of system of linear inequalities?
A:(5,-2),(3,1),(-4,2)
B:(5,-2),(3,-1),(4,-3)
C:(5,-2),(3,1),(4,2)
D:(5,-2),(-3,1),(4,2)
Answer:
Option (3)
Step-by-step explanation:
There are two inequalities graphed in the figure attached.
1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,
[tex]y\geq -\frac{1}{2}x[/tex]
2). Another dotted line having shaded area below the line will be represented by the inequality,
[tex]y<\frac{1}{2}x+1[/tex]
Common shaded area of these inequalities will be the solution area.
All the ordered pairs lying in this area will be the answer.
In the given options,
Ordered pairs given in Option (3) lie in the common shaded area.
Answer:
C
Step-by-step explanation:
got it right
40 meters in 16 seconds
Answer:
32 seconds
Step-by-step explanation:
Answer:
2.5 meters in a second.
Step-by-step explanation:
I'm assuming it's how many meters per second.
meters : seconds
40 : 16
10 : 4
2.5 : 1
2x + 5y = 12
-2x + 3y = 4
In elimination method
The product (k-9 )^2 can also be written as?
the diagonals PR and QS of a rhombus intersect each other at point O. prove that 2(PQ) + 2(QR) + 2(RS)+ 2(PS) = 4 (2(OP)+2(OQ))
Answer:
It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))
Step-by-step explanation:
In a rhombus, all sides are equal.
Thus, in this question;
PQ = SR = QR = PS
By inspection, QS is the same dimension as the four sides. So, QS = PQ
Thus, OQ = PQ/2
For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°
Thus;
|OP|² + |OQ|² = |PQ|²
Earlier, we saw that;OQ = PQ/2
Thus;
|OP|² + |PQ/2|² = |PQ|²
|OP|² = |PQ|² - |PQ/2|²
|OP|² = |PQ/2|²
Taking square root of both sides, we have;
OP = PQ/2
So,going back to the question, on the right hand side, we have;
4(2(OP) + 2(OQ))
Let's put,
PQ/2 for OQ and OP as gotten earlier
So,
4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)
Since PQ = SR = QR = PS, we can rewrite as;
4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS
This is equal to the left hand side, so the equation is proved correct.
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = [tex]\frac{1}{2} *4[/tex]
= 2 papas secas
Cerdo = [tex]\frac{1}{2} *4[/tex]
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = [tex]1\frac{1}{2} *4[/tex]
= [tex]\frac{3}{2} *4[/tex]
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
help asap!!!!!! please
Answer:
Point B is 3/4
Step-by-step explanation:
the number line is split into fourths. Therefore, it is 3/4
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
Multiply the reciprocals of -9/2 and 5/18 and add the additive inverse of -4/5 to the product. What is the result?
Answer:
0
Step-by-step explanation:
Reciprocal of -9/2 = -2/9
Reciprocal of 5/18 = 18/5
Multiplying both:
=> [tex]\frac{-2}{9}*\frac{18}{5}[/tex]
=> [tex]\frac{-2*2}{5}[/tex]
=> -4/5
Additive Inverse of -4/5 = 4/5
So, Adding both of them:
=> [tex]-\frac{4}{5} + \frac{4}{5}[/tex]
=> 0
Answer:
45
Step-by-step explanation:
-2/9 x 18/5 + 4/5 = 45
hope I'm right
According to Maria, it takes 240 cherries to make 3 perfect cherry pies. How many cherries would it take to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
Cherries Cherie pie
240 = 3
X = 9
The known number of cherries will be given as x then u cross multiply
3×X=240×9
3X=2,160
Divide both sides by 3
3/3X=2,160/3
X=2,160/3
X=720
This implies that the number of cherries needed to make 9 cherry pie is 720
I hope this help
Find the slope of the tangent to the curve below at (-1,10)
Answer:
- 8
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = 3x² - 2x + 5, then
[tex]\frac{dy}{dx}[/tex] = 6x - 2
x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8
How many sides does a regular polygon have
if one of its exterior angles =45°?
Answer:
8 sides.
Step-by-step explanation:
Divide the exterior angle with 360.
360 ÷ 45 = 8
The regular polygon has 8 sides.
Answer:
Step-by-step explanation:
Sum of measures of all angles of a regular polygon = 360 degree
one exterior angle = 45 degree
∴ no of sides = 360/45 = 8 sides
hope this helps
plz mark it as brainliest!!!!!!
someone please help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
2⁵³/₁₉₈
Step-by-step explanation:
2.2676767 = 2.7676767 − 0.5
2.2676767 = 2⁷⁶/₉₉ − ½
2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈
2.2676767 = 2⁵³/₁₉₈
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 267676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198I’m stuck on this!?!!
Answer:
[tex]x=66^\circ[/tex]
Step-by-step explanation:
[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]
Best Regards!
Which of the following is the solution to (x-13)<18
Answer:
The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)
Mrs Perry shares out 12 biscuits between Gemma and Zak in the ratio 1:2 how many biscuits do they each get?
Answer: 6 biscuits each
Step-by-step explanation:
biscuits: 12
ratio shared 1:2 (in fraction form : 1/2)
one half of 12 is 6 therefore they each get 6:12 biscuits
If you simplify 6:12 you will get 1:2
Gemma and Zak receive 6 biscuits.
Hope that helped!
Answer:
Step-by-step explanation:
If the ratio between Gemma and Zak is 1:2, then Gemma gets 1 biscuit for every 2 Zak gets. If the total number of biscuits is 12, then 1x + 2x = 12 and
3x = 12 and
x = 4. That means that Gemma gets 4 biscuits and Zak gets twice that many, which is 8.
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.
Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]