Answer:
Step-by-step explanation:
the trick is to draw 2 triangles and label them CAT and DOG yet be careful to line them us the same and to write in the same direction (clockwise or counter clockwise)
G. T
Δ. Δ
D. O. C. A
now we see
TC≅GD
∠DGO∠CTA
ΔACT≅ ODG
Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hour. Caleb worked 2 more hours than Landon and they ironed 330 shirts between them. Write a system of equations that could be used to determine the number of hours Caleb worked and the number of hours Landon worked. Define the variables that you use to write the system
Answer:
The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked
Step-by-step explanation:
Assume that Caleb worked for x hours and Landon worked for y hours
∵ Caleb worked for x hours
∵ Landon worked for y hours
∵ Caleb worked 2 more hours than Landon
→ That means Caleb hours = Landon hours + 2
∴ x = y + 2
→ Subtract y from both sides
∴ x - y = 2 ⇒ (1)
∵ Caleb can iron 30 shirts per hour
∵ Landon can iron 15 shirts per hour
∵ They ironed 330 shirts between them
→ Multiply x by 30 and y by 15, then equate their sum by 330
∴ 30x + 15y = 330
→ Divide both sides by 15 to simplify the equation
∴ 2x + y = 22 ⇒ (2)
The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked
what is the slope of the line that contains the origin and the point (5,-9)and (5,9)?
Answer:
Undefined
Step-by-step explanation:
Step 1: Find the slope using y2-y1/x2-x1 form.
9+9/5-5
18/0 which is 0. The answer is undefined
On a number line,8.29 would be located. choose all answers that make a true statement.
A. to the right of 8.39
B.between 8.2 and 8.3
C.between 8.28 and 8.30
D. between 8 and 9
Which equation is correct?
Your mother takes you to your grandparents’ house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. She reaches the highway, quickly speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. (Remember, change your minutes into HOURS before doing any computing!)
Answer:
A!
Step-by-step explanation:
i looked it up
What is the circumference of the given circle?
Answer:43.98
Step-by-step explanation:
c = 2 pie r = 2 • pie • 7 = 43.98
Simplify
(8 + 201) + (-17+41)
Answer:
233
Step-by-step explanation:
Answer:
233
Step-by-step explanation:
(8 + 201) + (-17 + 41)
209 + 24
233
What is the ratio of W's to P's? W W W W W P
Answer:
5:1
Step-by-step explanation:
5 w to 1 p
5:1
there are 5 w's and one p so it would be 5:1Step-by-step explanation:because its cs
Each bottle of perfume contains
2.1
2.1 fluid ounces of perfume. The store sells
30
30 bottles. How many fluid ounces of perfume did the store sell in total?
Answer:
Total amount of fluid sold = 63 ounces
Step-by-step explanation:
Given:
Each bottle contain = 2.1 ounces
Total number bottle = 30
Find:
Total amount of fluid sold
Computation:
Total amount of fluid sold = Each bottle contain x Total number bottle
Total amount of fluid sold = 2.1 x 30
Total amount of fluid sold = 63 ounces
The graph of the function y = 3(x - 2)^3 + 7 is translated 2 units to the
right and then 4 units down. Write the equation of the final graph.
Answer:
y = 3(x - 4)^3 + 3Step-by-step explanation:
Given function
y = 3(x - 2)^3 + 7Translation to the right achieved by adding - 2 to x-value
Translation down achieved by adding -4 to y-value
So the function becomes:
y = 3(x - 2 - 2)^3 + 7 - 4 ⇒y = 3(x - 4)^3 + 3(ANSWER ASAP) Solve the inequality.
Answer:
y > -6
Step-by-step explanation:
add 6 over from the left side to get y by itself
this simplifies to -6
since this was subtraction, you flip the equation and the sign
so it changes to y > -6
A farmer has a square field that is 1 mile wide by 1 mile long. Her irrigation system can water the northern 0.5 miles of her field. If her tomatoes are planted in a strip 0.3 miles wide, what is the area of her watered tomatoes?
Answer:
0.15mile^2Step-by-step explanation:
Step one:
Given
lenght of field L= 1mile
width of field W= 1 mile
Required
The area that can be watered
we are told that the system can water 0.5miles North
This represents the length that can be watered
and the width of the tomatoes area is 0.3miles
Therefore the area that can be watered is
A= 0.5*0.3
A=0.15mile^2
The next day, Kiran read for x minutes, and Andre read for 1/10 less than that. Write an equation that relates the number of minutes Kiran read with y, the number of minutes that Andre read.
Answer:
y - 1/10 = x
Step-by-step explanation:
y = # minutes read Kiran
x = # minutes read Andre
Simplify the following expression.
Which is the graph of the equation ?
a
b
c
d
Answer:
First graph's equation is: y=2/3x+3
Second graph's equation is: y=2/3x-1
Third graph's equation is: y=2/3x+1
Fourth graph's equation is: y=2/3x-3
Step-by-step explanation:
Well you didn't provide the equation so I can't give you the exact answer but I can tell you the equation for each graph and you can match that with the equation they gave you!
Here ya go:
The y intercept is where the line crosses the y axis(vertical axis)
The slope is rise/run (vertical/horizontal)
The first graph:
The line crosses the y axis at (0, 3)
To find the slope we need to take the (y) of one of the given coordinates and subtract the (y) of the other coordinate then divide that over (x) of one of the coordinates minus the (x) of the other coordinate.
5-1/3-(-3)
4/6
2/3 is our slope, apply that to slope-intercept formula (y=mx+b)
y=2/3x+3
The second graph:
The line crosses the y axis at (0, -1)
Do as we did with the first graph to find the slope.
1-(-3)/3-(-3)
4/6
2/3 is our slope
y=2/3x-1
The third graph:
The line crosses the y axis at (0, 1)
Find the slope
3-(-1)/3-(-3)
4/6
2/3 is our slope
y=2/3x+1
The fourth graph:
The line crosses the y axis at (0, -3)
Find the slope
-1-(-5)/3-(-3)
4/6
2/3
y=2/3x-3
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
C is the answer
Step-by-step explanation:
Write the equation of the line if m = 11 and b = -7.
Answer:
y = 11x - 7
Step-by-step explanation:
y = mx + b
m = 11
b = -7
y = 11x - 7
Fun World charges $10.00 for admission plus $2.50 per hour to rent ice skates. IceLand charges $7.00
for admission plus $4.00 per hour to rent ice skates. Write an equation to find h, the number of hours
for which the total cost is the same at both skating rinks. Then solve the equation and state what the
cost is for that number of hours.
Equation:
h =
Cost for that number of hours(substitute h into one equation)
(-4)
Answer:
2.50x+7.00=10.00+4.00x
Step-by-step explanation:
How many lines of reflection does regular octagon have ?
(6x - 4y = 11
6x + 14y= -12
How can you represent the system of equations with a matrix
i need help ASAP
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Plsss help!! Will give brainliest to the person with most explanation and best answer! 30 POINTS!
Answer:
Was I supposed to answer something like this?
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Find the value:
-10 + (-12)+(-5)
Answer:
-27
Step-by-step explanation:
its just the big think :D
Answer:
-27
Step-by-step explanation
pretty self explanatoryThe equation of the line in slope intercept form is....
Answer:
y=1/3x+45 I think
Step-by-step explanation:
Pleassseee helppp mee
Answer:
I guess the slope would be 0. Here’s a story
An old man works at a subway for 7$ per hour. One day he passed away and couldn’t come to his job anymore. What would be the slope of dollars per hour after the old man had died?
Step-by-step explanation:
Slope is 0 because rise and run are both 0
0/0 = 0
Yeah. At least i think
In a practice for athletics, Fred rides his bicycle for 18km in 45 minutes and then runs half as far in twice the time. What is his average speed for his practice?
show full working
Answer:
11.25km
Step-by-step explanation:
9km in 1 hour and 30 minutes is 4.5km in 45 minutes so the average of 18km and 4.5km is 11.25km.
Use the side-splitter theorem to solve for x in the triangle below.
Answer:
[tex] x = 7 [/tex]
Step-by-step explanation:
According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.
Therefore, based on this theorem, we would have the following:
[tex] \frac{x}{21} = \frac{8}{24} [/tex]
Solve for x
[tex] \frac{x}{21} = \frac{1}{3} [/tex]
Multiply both sides by 21
[tex] \frac{x}{21}*21 = \frac{1}{3}*21 [/tex]
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
Pls I need help !!!!!!
Answer: m1 m2 and m5 all equal to 135 as well
While m3 m6 and m4 are 45
Why: since they are on a line the two angles together should equal 180. So 180- 135= 45
10) A spherical orange has a diameter of 10 cm. What is the area of orange peel
Answer:
A≈314.16cm²
Step-by-step explanation:
Solve for 2:
2(x - 5) + 7 = 53
O2 = 25.5
O2= 28
O2 = 31.5
O2 = 25
Answer:
x=28
Step-by-step explanation:
2(x-5)+7=53
2x-10+7=53
+10 +10
2x+7=63
-7 -7
2x= 56
2 2
x=28
Some help me asp i need help to this question
Answer:
X=11 Y=9
Step-by-step explanation: