Answer:
x=30 ; y=60 ; z=120.
Step-by-step explanation:
(we can solve it in a system.)
z+2x=180 => z=180-2x
y+4x=180 => y=180-4x
y+z=180
4x+2x=180 => 6x=180 => x=30
<=>
z=180-2*x=180-2*30=180-60=120
y=180-4x =180-4*30=180-120=60
A pan balance has 3cubes on one pan and 11 cubes on the other pan. Lucy thinks she should add 7,8,9 or 10 cubes to make the pans balance how can you use the equation 3+c=11 to find the number of cubes lucy should add
Answer:
c = 8
Step-by-step explanation:
Solve for C
3 + c = 11. subtract 3 from both sides
c = 8
Answer:
8
Step-by-step explanation:
3+c = 11
c = 11-3
c=8
Can someone help me with number 5? Thanks:)
Answer:
Yes
Step-by-step explanation:
Domain : 0 ≤ x ≤ 8
Range : 0 ≤ y ≤ 56
I add 12 to a certain number and then double the result. The answer is 42. Find the original number
A computer repair shop charges a $25 fee in
addition to $40 per hour to service a computer.
Write an equation to represent the total cost to
service a computer. Identify your variables.
a) What is the rate of change
b) What is the initial value
c) What is the independent variable
d) What is the dependent variable
Answer:
F=40h+25
a) 40 per hour
b) 25
c) hours
d) how much it costs
Rebecca can do 150 jumping jacks in two minutes and Marcus can do 625 jumping jacks in eight minutes. who can do more jumping jacks per minute and by how much?
Answer:
Marcus can do more jumping jacks per minute.
Step-by-step explanation:
By 3 more jumping jacks.
Answer:
ryan can do the most
Step-by-step explanation:
by 3
Peyton invested \$1700$1700 in an account that pays 3.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Peyton would have in the account 15 years after her initial investment. Round to the nearest tenth (if necessary).
Based on the amount Peyton invested, and the interest rate, the amount in the account 15 years later would be $2,848.09.
How much would be in the account after 15 years?The amount in the account after 15 years would be:
= Amount x ( 1 + rate) ^ number of years
Solving gives:
= 1,700 x ( 1 + 3.5%)¹⁵
= $2,848.09
Find out more on future value at https://brainly.com/question/24978019.
Answer:
2848.1
Step-by-step explanation:
What is the percent of change from 55 to 22?
Answer:
40 percent
Step-by-step explanation:
22/55 = 0.4
0.4 = 40%
check answer: 55 x 0.4 = 22
ASAP 50 POINTS! Please help with this, it's about angle bisectors.
Step-by-step explanation:
let's name the 2 sides of the bisected angle a and b.
and the 2 segments (created by the bisector) of the opposite side x and y.
then we have
a/b = x/y
question 1
14/21 = x/15
1/3 = x/15
15/3 = x = 5
question 2
8/y = 4/6
8×6 = 4y
48 = 4y
y = 12
question 3
3/4.5 = z/1.5
3×1.5 = 4.5z
4.5 = 4.5z
z = 1
question 4
16.5/p = 11/(29-11) = 11/18
16.5×18 = 11p
297 = 11p
p = 27
question 5
7/13 = (15-x)/x
7x = 13×(15-x) = 195 - 13x
20x = 195
x = 195/20 = 39/4 = 9.75
uld
23. Two sides of a triangle measure 14
inches and 8 inches. Which of the
following cannot be the length of the
remaining side?
A. 21 inches
B. 14 inches
C. 8 inches
D
6 inches
Answer:
21 can not the 3rd side
Step-by-step explanation:
because the sum of 2 sides of triangle are always greater -it is a fact or theorem
Turtle Chocolate Company is having a Valentine’s Day sale for its customers. Matt is trying to determine the combinations of dark chocolate candy and white chocolate candy he can buy. He wants to spend no more than $60.
If boxes of dark chocolate candy cost $12 each and boxes of white chocolate candy cost $10 each, which inequality represents all possible combinations of x boxes of dark chocolate candy and y boxes of white chocolate candy?
The inequality that represents all the possible combinations he can buy is $12x + $10y ≤ $60.
What do inequality signs mean?
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
What equation represents the total combinations he can buy?The inequality sign to use is ≤ less than or equal to. This is because he does not want to spend more than $60.
$12x + $10y ≤ $60.
To learn more about inequality, please check: https://brainly.com/question/5031619
write an equation with infinite solutions using use atleast two operations
Answer:
[tex]a + b = a + b[/tex]
Step-by-step explanation:
plugging in a and b for anything will work, thus resulting in infinite amount of solutions
Which equation represents the rectangular form of r= 8?
Answer:
B
Step-by-step explanation:
put both sides under square root.
x^2 + y^2 = 64
sqrt ( x^2 + y^2 ) = sqrt(64)
x + y = 8
r = 8.
[tex]\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8[/tex]
The figure is made up of 2 rectangles and 2 right triangles
What is the area of this figure
132 units^2
156 units^2
168 units^2
216 units^2
Answer:
total area = 132 units²
Step-by-step explanation:
Area of a rectangle = width x heightArea of a triangle = 1/2 x base x height
Area of largest rectangle = 4 x 15 = 60 units²
Area of smallest rectangle = 4 x 6 = 24 units²
Area of largest triangle = 1/2 x (15 - 6) x (4 + 4) = 36 units²
Area of smallest triangle = 1/2 x 6 x 4 = 12 units²
Total area of the figure = sum of areas of 2 rectangles and 2 triangles
⇒ area = 60 + 24 + 36 + 12 = 132 units²
The heart rate of 10 football players is sampled. The rates, measured in beats per minute, are
62, 74, 74, 64, 76, 64, 80, 76, 68, 76
What is the best estimate of the population mean for heart rate among football players?
Enter your answer in the box.
beats/min
PLEASE ANSWER ASAP
Answer:
I know that I saw that on social
Answer:
71.4
Step-by-step explanation:
add all together and divide by the number of players.
Write a quadratic function f whose zeros are -12 and 1.
24 liters of water is pumped in 20 seconds
How long will it take to pump 84 liters?
pls help
Answer:
70 s
Step-by-step explanation:
24 L = 20s
84 L = 20×84/ 24
= 70 s
What is the exact volume of a cone with a radius of 10 and a height of 6?
Answer:
Step-by-step explanation:
r = 10
h = 6
[tex]Volume =\dfrac{1}{3}\pi r^{2}h\\\\\\ =\dfrac{1}{3}*3.14*10*10*6\\\\=3.14 * 10 * 10 * 2\\\\= 628 \ cubic units[/tex]
Tiffany took her friends out to dinner. The total cost of the dinner was $29.53. If she wanted to leave a 20% tip, how much money would she need to leave total?
Answer:
$35.436
Step-by-step explanation:
Hope this helps! :)
Answer:
$35.436
Step-by-step explanation:
Hope you like bro !!!!!!!!!!!
PLS MARK ME THE BRAINLIEST
PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER
Answer:
1. Paul has mixed up the translation of the ordered pair.
New location: (1, 5)
2. Option C : E = (3, 2) F = (8, 4) G = (5, 7)
Step-by-step explanation:
An ordered pair is a pair of numbers, (x,y) , written in a particular order.
It is often used to represent a point on a coordinate plane.
1. From inspection of the diagram, the market is located at (3, 8)
Paul's mistake is that he has mixed up the translation of the ordered pair. He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.
The correct ordered pair for the new location of the market is (1, 5)
2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).
E = (3, 2)
F = (8, 4)
G = (5, 7)
A 14 ounce energy drink contains 10 1/2 teaspoons of sugar.How much sugar is in one ounce of the drink?
A.3/4 teaspoon
B.1 1/3 teaspoons
C.1 1/2 teaspoons
D.3 1/2 teaspoons
what is 1 2/10 divided by 1 4/10
Answer:
The answer is 6/7
Step-by-step explanation:
math question helppp
Answer:
1st row = 10 = y
2nd row = 12 = y
3rd row = 18 = y
4th row = 22 = y
Step-by-step explanation:
Given:
y = 4x + 6
since the y-intercept is 6, we know that when the input value(x) is equal to 0, the output value(y) is equal to 6.
so now we plug in the equation for each row,
starting with the first one.
in the first row it says x is equal to 1 so the equation would look like this:
y = 4(1) + 6
simplified the equation to get
y = 4 + 6 = 10
meaning for the first row, y = 10!
since the x value is constant, and only goes up by 1 each row, this means we can just add 4 more each time.
However, I am going to write the equation for each row anyways.
Second row:
y = 4(2) + 6
simplifys into
y = 8 + 6 = 12
y = 12
Third row:
y = 4(3) + 6
simplifys into
y = 12 + 6 = 18
y = 18
Fourth row:
y = 4(4) + 6
simplifys into
y = 16 + 6 = 22
y = 22
So to recap, the answers to each row are...
1st row = 10 = y
2nd row = 12 = y
3rd row = 18 = y
4th row = 22 = y
I hoped this helped and have a good day :D!!!
How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units.
The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.
What is the area of the triangle?The area of the triangle is half the product of the height of the triangle and the base of the triangle.
As we know that the area of a rectangle is double the area of a triangle,
therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.
Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.
Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.
Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).
Learn more about Area of Triangle:
https://brainly.com/question/15442893
Ai need help please 43
Step-by-step explanation:
please just need help
Someone please help me out with this /: I can’t find the answer
PLEASE
Answer: x= -20/3 and y= 34/3
hope this helps :)
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = - 6x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 10) and (x₂, y₂ ) = (- 1, - 2) ← 2 points on the line
m = [tex]\frac{-2-10}{-1-(-3)}[/tex] = [tex]\frac{-12}{-1+3}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6
the line crosses the y- axis at (0, - 8 ) ⇒ c = - 8
y = - 6x - 8 ← equation of line
The function y = f (x) is linear.
Given f-¹ (0) = 3 and f (1) = - 4, find the formula of
f (x) and f-¹ (x)
Answer:
[tex]f(x)=2x-6[/tex]
[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]
Step-by-step explanation:
Using slope-intercept form of linear function: [tex]y = mx + b[/tex]
[tex]\implies f(x)=mx+b[/tex]
[tex]\textsf{if} \ \ f(1) = -4[/tex]
[tex]\implies m + b=-4[/tex]
[tex]\implies b = -4-m[/tex]
Find inverse of slope-intercept form:
swap x and y: [tex]x = my + b[/tex]
Make y the subject:
[tex]\implies x - b = my[/tex]
[tex]\implies y = \dfrac{x-b}{m}[/tex]
[tex]\implies f^{-1}(x) = \dfrac{x-b}{m}[/tex]
[tex]\textsf{if} \ \ f^{-1}(0) = 3[/tex]
[tex]\implies \dfrac{0-b}{m}=3[/tex]
[tex]\implies b=-3m[/tex]
[tex]\textsf{equation 1:} \ \ b = -4-m[/tex]
[tex]\textsf{equation 2:} \ \ b=-3m[/tex]
Equate the equations and solve for [tex]m[/tex]:
[tex]\implies b=b[/tex]
[tex]\implies -4-m=-3m[/tex]
[tex]\implies -4=-2m[/tex]
[tex]\implies m=2[/tex]
Substitute found value for [tex]m[/tex] into one of the equations and solve for [tex]b[/tex]:
[tex]b = -4-2=-6[/tex]
Substitute found values of [tex]m[/tex] and [tex]b[/tex] into equations for [tex]f(x)[/tex] and [tex]f^{-1}(x)[/tex]:
[tex]f(x)=2x-6[/tex]
[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]
Please I need helppp!!
Answer:
1) c
2) b
Step-by-step explanation:
1) translated 6 units to the left will be negative = x-6
5 units up will be positive = y+5
2) when reflecting across the x-axis, the x-values of each original point will remain the same and the y-values will become opposite. For example one point is (-5, 3) which will be (-5, -3) as the opposite of 3 is -3 which is in the form (x,-y)
Triangle ABC is shown on the grid below.
Which value best represents the length of AB?
a 8 units
b 12 units
c 15 units
d 21 units
Answer:
15 units
Step-by-step explanation:
you have to use pythagoras to solve (c²=a²+b²)
AB is the longest side of the triangle which is c in the pythagoras
so counting the units for AC, you get 9 units, and CB you get 12 units
now solve for c in pythagoras
c²=9²+12²
c = 15 units
Graph this line using the slope and y-intercept: y = 1/8x + 4
(1/8 is a fraction)
Answer:
Two points, (0,4) & (8,5)
Step-by-step explanation:
In this equation, we can easily find the first point by looking at the +4 in this equation. This should automatically signal to you that the point is (0,4)
Now, we have to look at the 1/8x in the equation.
This 1/8 means that the slope is 1/8!
Now we use the slope and to rise/run to find our next point
We go up 1 from 4 (this is the rise) to get to 5 on the y-axis
Next, we go over 8 horizontally to get to 8 for your x-axis point.
So therefore, our next point is, (8,5)
You can use this rise/run system infinitely and is very useful
kayla has 5 books in her backpack that weigh 25 pounds. How much would 2 books weigh