Answer:
4
Step-by-step explanation:
Let's say our number is n.
First, we have two times a number. This can be represented by 2 times our number, n, or 2*n
Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.
Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.
So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16
We then have
2*n = -2*n + 16
We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation
2*n+2*n = 16
4*n = 16
Then, we can finally divide both sides by 4 to get
n = 4
Form a linear equation in two variables for each of the following :
a) Pak Osman bought x oranges and y apples with a total amount of RM50. He sold an orange and an apple for RM0.60 and RM0.70 respectively. After he sold all the fruits, he earned a profit of RM10.
b) The sum of numbers x and y is five times the difference between the two numbers. The value of x is greater than the value of y.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
write the equation of a line with that passes through given point and gas the given slope. Answer in general form
Step-by-step explanation:
c) since m = undefined => the equation is
x = -2
d) the equation is
y-2= -1/7 (x+7)
=> y = -1/7 x -1+2
<=> y = -1/7 x + 1
!!!!!!!!!!!!!! Please read question correctly before answering
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
Find the angles P, Q, R and S. P =3x , Q =x , R = 4x , S =2x
Answer:
Q=36°, P=108°, R=144°, S=72°.
Step-by-step explanation:
angle on a quadilateral is equal to 360°
so 3x+x+4x+2x =360°
10x=360°
x=26°
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of possible values
for t, the total time of the drive in hours?
A
1.79
B
1.72 < t < 1.85
с
1.72
1.75 < t < 1.82
Answer:
1.72 ≤ t ≤ 1.85
Step-by-step explanation:
Given :
Distance = 100 miles ;
Speed = 56 miles per hour, to the nearest 2 miles per hour
Hence, the speed range is :
(56 - 2) mph ; (56 + 2) mph
Range of possible Time taken, t :
Distance / speed ;
100 / 58 ≤ t ≤ 100 / 54
1.72 ≤ t ≤ 1.85
Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE
Answer:
-2 and -8
Step-by-step explanation:
-2 + (-8) = -10
-2 * -8 = 16
What is the length of PR?
40°
Ο.
110
X
110
R
Ο Α. 11
Ο Β. 13
C. 81
Ο D. 9
Answer:
it's 9
Step-by-step explanation:
hope this helps <3
1. The elevation of Death Valley, California, is -282 feet. The elevation
of Tallahassee, Florida, is 203 feet. The elevation of Westmorland,
California, is -157 feet.
a. Compare the elevations of Death Valley and Tallahassee using < or
>
b. compare the elevations of Death valley and westmorland.
PLSS ANSWER A AND B AND WHEN U DO SAY answer to “a” is....
answer to “b” is...
tysm !!!
Answer:
(a) Death Valley < Tallahassee
Death Valley is 485m below Tallahassee
(b) Death Valley < Westmorland
Death Valley is 125m lower than Westmorland
Step-by-step explanation:
It is a topic of direction numbers
(a) -282 - (- 157) = -125
the minus sign shows "below"
(b) -282 - 203 = -485
the minus sign shows "below"
find the area of the polygon.
I WILL MARK BRANIEST PLS ANSWER
Answer:
15cm^2
Step-by-step explanation:
The given polygon is a parallelogram,
Area of a parallelogram = Base * Height
= 5cm * 3cm
= 15cm^2
Hope it helped :)
the answer for this is 7.5
or when run becomes 8
Step by Step Explanation:
taken triangle KLM.
Area of a triangle=
[tex] \frac{1}{2} \times base \: \times height[/tex]
[tex] \frac{1}{2} \times 5 \times 3 \\ [/tex]
[tex] \frac{1}{2} \times 15[/tex]
= 7.5 or when run becomes 8The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and the width of the rectangle. *
Answer:
+ 5 = length 2x + 2(x + 5) = 38
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
SOMEONE PLS HELP ME!!!
The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.
The axis of symmetry for this graph is x = -1.
Hope this helps!! :)
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
PLEASE ANSWER ASAP IM TAKING FINALS
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
Answer:
A) 47.17
B) 10.2 feet
Step-by-step explanation:
dont forget to switch the calculator to degrees when doing this
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
read comments for other stuff that i forgot to put in here
Angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
What is angle of elevation?" Angle of elevation is defined as the angle between horizontal plane and the observation line of sight."
Formula used
[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]
Pythagoras theorem
[tex](Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}[/tex]
According to the question,
Length of the ladder ' hypotenuse'= 15 foot
Height to reach a point ' perpendicular' = 11feet
'[tex]\alpha[/tex]' represents the angle of elevation
[tex]'x'[/tex] represents the base of the house
Substitute the value to get the value of angle of elevation we have,
[tex]sin\alpha = \frac{11}{15}[/tex]
⇒ [tex]\alpha = sin^{-1} (0.7333)[/tex]
⇒[tex]\alpha = 47.14[/tex] degrees
Substitute the value in the formula to get the value of base we have,
[tex](15)^{2}= (11)^{2} +x^{2}[/tex]
⇒[tex]x^{2} = 225 - 121[/tex]
⇒[tex]x^{2} = 104[/tex]
⇒[tex]x=\sqrt{104}[/tex]
⇒[tex]x= 2\sqrt{26}[/tex] foot
Hence, angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
Learn more about angle of elevation here
https://brainly.com/question/21137209
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Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}
Answer:
x<-3
Step-by-step explanation:
Write 1.547x10^3 as an ordinary number
Answer:
1547
Step-by-step explanation:
10^3 is 1000 1.547 x 1000 = 1547.
Pls follow and mark answer as brainliest
Help please
9. Is 23.32 = 65? Explain.
Type here
TS
Answer:
No, because 2^3 × 3^2 is equivalent to 72 which is a much smaller number than 6^5 which is equal to 7,776.
Step-by-step explanation:
2^3 × 3^2 = 6^5 ??
Use PEMDAS:
(2 × 2 × 2) × (3 × 3) = 6 × 6 × 6 × 6 × 6
(4 × 2) × 9 = 36 × 6 × 6 × 6
8 × 9 = 216 × 6 × 6
72 = 1,296 × 6
72 = 7,776
Step-by-step explanation:
no because they just added they exponents together. 6^5 is like saying 6 multiplied by itself 5 different times. same with the other numbers. if you switch the exponents around and multiply at different times it's like multiplying different numbers, because 2^3 is multiplying 2 by itself 3 individual times. if you move the exponent to the 6, you are multiplying a completely different number by its own self, so the two different methods cannot be congruent.
(I'm sorry I hope that made sense)
also you can just check with the calculator, this is just an explanation on why it will show up like that on the calculator
What is the exact area of shaded region of the circle? Show all work.
Answer:
[tex]A=\frac{513\pi}{8}[/tex]
Step-by-step explanation:
1.Approach
To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.
2.Find the area of the circle
The formula to find the area of a circle is the following,
[tex]A=(\pi)(r^2)[/tex]
Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).
Substitute the given values into the formula and solve for the area.
[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]
3.Find the percent of the circle that is shaded
There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.
[tex]360 - 75 = 285[/tex]
Now put this number over (360) to find the fraction of the circle that is shaded.
[tex]\frac{285}{360}[/tex]
[tex]=\frac{19}{24}[/tex]
4.Find the area of the shaded region
Now multiply the total area by the fraction that the shaded region occupies.
[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]
What is the slope of the line that is parallel to the given line and passes through the given point?
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
-1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
y + 4 = -1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
-9/2
Step-by-step explanation:
Good lcuk for anyone who needs this<3
The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Equation of a line in point-slope form?The equation of a line in point-slope form is expressed as:
y - y0 = m(x - x0)
m is the slope
(x0, y0) is any point on the line
Using the coordinate points (2, 2) and (-2, -4)
Determine the slope
Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2
Using the point (2, 2), the equation of the line in point slope for is expressed as:
[tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Learn more on equation of a line here: https://brainly.com/question/18831322
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PLEASE HELP ASAP!
a. 4
b. 8
c. 16
d. 24
which one????
Answer:
A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
Can You Help Me Out Please
Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
Jamal made 77% of his free throws and Brian ,made 62% of his. Jamal had a better record.
Answer:46
Step-by-step explanation:
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
What is the solution to the system of equations graphed?
Answer:
D. (1, 5)
Step-by-step explanation:
the solution to the system of equations is the point of lines intersect => (1, 5)
what is the answer to 11/5 divided by 2/5
Answer:
The Correct Answer is [tex]\frac{11}{2}[/tex] (11/2)
Decimals Form: 5.5
Answer:
5 1/2 or 5.5
Step-by-step explanation:
11/5 ÷ 2/5
11/5 × 5/2 = 11/2 = 5 1/2
Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of ∠R in △PQR? Round to the nearest degree. 26° 42° 45° 64°
Answer:
<R = 26degrees
Step-by-step explanation:
Making <R as the reference angle
Adjacent side = 12.7
Hypotenuse = 14.1
Cos <R = adj/hyp
Cos <R = 12.7/14.1
Cos <R = 0.9007
<R = arccos(0.9007)
<R =25.7
<R = 26degrees
Answer:
A. 26°
Step-by-step explanation:
I took it on EDG
decide which point lies on the line that is parallel to AB and passes point P.
(fourth answer choice is J)
Which expression is a trinomial of degree 1?
Answer:
A
Step-by-step explanation:
Answer:
"C"
trinomial means three parts, degree 1 means highest exponent is 1
x & y are of degree 1 and there are three parts
Step-by-step explanation:
Need Help ASAP! Timed Assignment!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A)
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Mike and his friends bought five cheese wafers and 15 chocolate wafers.
Step-by-step explanation:
Let cheese wafers be represented by x and let chocolate wafers be represented by y.
Part A)
They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:
[tex]2x+1y=25[/tex]
Or, simply:
[tex]2x+y=25[/tex]
They also purchased a total of 20 packets of wafers. Hence:
[tex]x+y=20[/tex]
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:
[tex]-x-y=-20[/tex]
Add it to the first equation:
[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]
Simplify:
[tex]x=5[/tex]
So, five cheese wafers were bought.
Using the second equation again, we can see that:
[tex](5)+y=20\Rightarrow y=15[/tex]
So, 15 chocolate wafers were bought.
Notes:
If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:
[tex]y=20-x[/tex]
Substitute this into the first:
[tex]2x+(20-x)=25[/tex]
Simplify:
[tex]x=5[/tex]
And we will acquire the same answer:
[tex]y=20-(5)=15[/tex]