Answer:
x=6
y=5
Step-by-step explanation:
15x and 90 are vertical angles and vertical angles are equal
15x = 90
Divide by 15
15x/15 = 90/15
x = 6
15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel
15x= 5x+12y
Subtract 5x
15x-5x = 5x+12y-5x
10x = 12y
10(6) = 12y
60 = 12y
Divide by 12
60/12 = 12y/12
5 = y
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!What is the solution to this equation?
-13x = 78
O A. x=-5
B. X= 5
O C. x = 6
O D. x= -6
Help?
Answer:
-6
Step-by-step explanation:
you have to divide both sides by -13
-13x/-13=78/-13
x=-6
remember that the sign also matters.
I hope this helps
Simplify. Rewrite the expression in the form x^n (x^2)^{4}
Answer:
x^8
Step-by-step explanation:
(x^2)^{4}
We know a^b^c = a^(b*c)
x^(2*4)
x^8
Answer:
x^8 <33
Step-by-step explanation:
Complete to get an equal ratio
3x/y = ? /2y
Answer:
6x
Step-by-step explanation:
3x/y=x/2y
Since 2y is 2X greater than y, 6x is 2X greater than 3x.
So,
The answer is 6x.
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
Write the gradient and the y intercept of the line y=-2x +4
Answer:
[tex]{ \bf{gradient = { \boxed{ - 2}}}} \\ \\ { \bf{y - intercept = { \boxed{4}}}}[/tex]
PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
To learn more, about equations, refer;
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1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
FOR BRAINLIEST!!!!ASAP
19) One number is 9 more than another. Their product is 11 more than five times their sum.
Find the numbers.
Answer:
-7 and 2 or 8 and 17
Step-by-step explanation:
If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:
[tex]x(x+9)=5(x+x+9)+11[/tex]
Solving the equation for [tex]x[/tex], we get:
[tex]x(x+9)=5(x+x+9)+11[/tex]
[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)
[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)
[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)
[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)
[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])
[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)
[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)
[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)
[tex]x=8[/tex] or [tex]x=-7[/tex]
Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!
Could someone help me solve this
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency
no, more than one triangle could be made with these measures
sss
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
489
X
96°
x =
degrees
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
What’s 304.9% as a decimal
Answer:
3.049
Step-by-step explanation:
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times
Answer:
65
Step-by-step explanation:
1=5
13=x
1x=5x13
1x=65
divide both sides by 1
x=65
Is 9/72 rational or irrational
i think answer is rational
Answer:
Rational
Step-by-step explanation:
The Numerator and Denominator is a whole number and its a fraction
PLEASE ANSWER, DUE IN 10 MINUTES!!!!
Answer:
hello,
Step-by-step explanation:
height=23*tan(30°)=0.56*23=12.88 (ft)
What is the slope of the line in the graph?
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled and the number is square. What is the probability, written as a percent, that the product of the numbers on the tile and the die will be a perfect cube?
Answer:
18.33333333%. Please mark as brainliest if I’m Correct. :)
Step-by-step explanation:
there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
find the radius of a circle if the circumference is 44cm. (take π=22/7)
Answer:
The radius of the circle if the circumference is 44 cm will be 7 cm.
Step-by-step explanation:
➝ Circumference of the circle = 44 cm
➔ Circumference = 2πr [For finding radius]
Finding the radius:-
➜ Let radius be r.
➜ 44 = 2 × 22/7 × r
➜ Multiply 2 × 22/7
➜ 44 = 44/7 × r
➜ Taking 7 to LHS.
➜ 44 × 7 = 44 × r
➜ 308 = 44 × r
➜ Taking 44 to LHS.
➜ 308/44 = r
➜ 308/44 = 7
➜ 7 = r
➜ r = 7
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
Can someone help me with this plz plz pls
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
Can somebody help me with this question
Answer:
900°
Step-by-step explanation:
The interior angles sum = 180° ( n - 2 )
~~~~~~~~
n = 7
180° ( 7 - 2 ) = 900°
Answer:
900 degrees
Step-by-step explanation:
just apply the formulas discussed in class !
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n−2)×180∘ (where n is the number of sides)
in our case we have 7 sides.
so, we could split this polygon into 5 triangles.
each of these triangles would have an angle sum of 180°.
so, the angle sum of the polygon is
5×180 = 900°
58×62 without actual multiplication
Answer:
3596
Step-by-step explanation:
Use long multiplication to evaluate.
Answer:
3596
Step-by-step explanation:
(58*10) = 580
580*6 = 3480
58 * 2 = 116
3480 + 116 = 3596
For there is always light, if only we’re brave enough to see it.
If only we’re brave enough to be it.
Answer:
sun is the answer to absolutely
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
Learn more about the exponential function here:
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