Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
Find the measure of each angle in the angle pair described.
The measure of one angle is twice the measure of its supplement. What are the measures of the two angles?
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree
Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?
Answer:
3 1/2 slices each
Step-by-step explanation:
98/28=3.5
Answer:
Every student will get 3 to 4 slices of pizza
Step-by-step explanation:
This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.
Hope this helped
4.I need help this is timed!!
Answer:
c. (-1, -2)
Step-by-step explanation:
The solution is the point of intersection of the lines.
Read that point off the graph.
Start from the point where the x-axis and the y-axis intersect. Go left 1 unit. That is x = -1. Now go down 2 units. That is y = -2. The point that has x-coordinate -1 and y-coordinate -2 is the point (-1, -2). That is the solution.
The point is (-1, -2).
Answer: C. (-1, -2)
Find the area of the composite
Figure-someone help plz
Answer:
84
Step-by-step explanation:
Write a ratio for the following situation. For every 10 toes, there are 2 feet.
Answer:
5:1
Step-by-step explanation:
10 toes = 2 feet
10:2
Simplify!
5:1
Calculate the area of the trapezoid
Answer:
180 in^2
Step-by-step explanation:
area = 5(sq rt 75) x (sq rt 27) - [5(sq rt 75)-5(sq rt 27)] x 3(sq rt 3) x 0.5
area = 180 in^2
The Big Wheel at a theme park has a diameter of 5m. How far would you travel in one complete revolution of the wheel?
Answer:
15.71m
Step-by-step explanation:
One revolution is equal to the circumference of the wheel
Circumference = πD
22/7 X 5 = 15.71m
The scale on a map is 2 ½ inches = 40 miles. On the map, two cities are 3 1/8 inches apart. What is the distance between the two cities?
Answer:
60 na po Sana makatutulong
For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).
The congruency rules is as follows;
4)a) The triangles are congruent by SSS Congruency Postulate
b) Triangle PQR is congruent to Triangle PQS
5a) The triangles are not congruent
b) Triangle VWZ is not congruent to Triangle YXZ
6a) The triangles are congruent by SAS Congruency Postulate
b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate
7) The triangles are not congruent
b) ΔKLJ is not congruent to ΔMNL
How to Identify Congruent Triangles?There are different congruency postulates or theorems as it pertains to congruent triangles and they are;
AAS theorem which denotes Angle-Angle-Side Theorem
HL theorem which denotes Hypotenuse-Leg Theorem
SSS Postulate which denotes Side-Side-Side Postulate
ASA postulate which denotes Angle-Side-Angle Postulate
SAS Postulate which denotes Side-Angle-Side Postulate
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.
6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.
7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.
Read more about Congruent Triangles at; https://brainly.com/question/1675117
#SPJ1
Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be 5 square inches, tile B must be 10 square inches, and tile C must be 15 square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of 5 square inches. Estimate the value to five decimal places.
Answer:
2.36068 inches
Step-by-step explanation:
Let us recall that the area of a square is given by;
A = l^2
This is because, all the sides of a square are equal hence l=b
When A = 5 square inches
5 = l^2
l = √5
l = 2.36068 inches
Answer:
Guess Check
2.2 2.22 = 4.84 (low)
2.23 2.232 = 4.9729 (low)
2.236 2.2362 = 4.999696 (slightly low)
2.23606 2.236062 = 4.9999643236 (slightly low)
2.23607 2.236072 = 5.0000090449 (closest)
Step-by-step explanation:
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
14.81 radians/second
Step-by-step explanation:
brainliest to whoever can answer questions correctly
Answer:
v ~ 32.72
Hope that helps!
Please help with these 2 questions for 15 points I think
Answer:
$13.50
$750
Step-by-step explanation:
3c+2d=-24 and 2c+5d= -38
Answer:
c=-4, d=-6
Step-by-step explanation:
(5x^2-4X + 7) - (4x + 2)
coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?
Answer:
$180
Step-by-step explanation:
$225 times .20 = 45 . 225-45=180
Answer:
$180
Step-by-step explanation:
Find 1% of the price.
100% = 225
1% = 225 ÷ 100 = 2.25
100 - 20 = 80% (Percentage of sale price)
80% = 2.25 x 80 = 180
10 - 4 (3-2y) = 8y -5
Answer:
No Solutions
Step-by-step explanation:
10 - 4(3-2y) = 8y - 5
Distribute:
10 - 12 + 8y = 8y - 5
Simplify:
-2 + 8y = 8y - 5
Same to both sides
-2 + 5 = 8y - 8y
3 = 0y
No Solutions
Let me know if you have any questions
HELPPP
Jose starts a savings account with $80. At the end of 6 months, the account had $350. Assuming there is a constant rate, how much did Jose save per month?
Answer:
w
Step-by-step explanation:
What is the reciprocal of 3 2/3
Answer:
the answer is 5
Step-by-step explanation:
Answer:
0.27272727272 is the reciproval of 3 2/3
The product of two numbers is 4 2/9, if one of the number is 38, find the number
Answer:
let x and y be the two number then according to question ,
xy=4 2/9
or, xy= 38/9
if one of the number is 38 then,
38x=38/9
or, x= 1/9 is the correct ans.
655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)
Answer:
1914
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)
Step 2: Evaluate
(Parenthesis) Multiply: 655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - 84.6Add: 1726 + 272.6 - 84.6Add: 1998.6 - 84.6Subtract: 1914Find the values of the variables and the lengths of the sides of this kite.
Answer:
option D
Step-by-step explanation:
option D is the correct answer of this question .
plz mark my answer as brainlist.
hope this will be helpful to you.
Answer:
D
Step-by-step explanation:
Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.
Answer:
Total time Shirley spent going and coming back from the mall= 152.5 minutes
Step-by-step explanation:
Usual time it takes to reach mall from home = 40 minutes
New time she took to reach the mall=12.5 minutes later than her usual time
= 40 minutes + 12.5 minutes= 52.5 minutes
New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes + 80 minutes
=100 minutes
Total time going and coming back from the mall =52.5 minutes +100 minutes = 152.5 minutes
Which expression is represented by the model?
4X43
-4X-3
-4x+3
I don't know this question. I REALLY NEED HELP!!!
Answer:
If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54
Answer:
54
Step-by-step explanation:
10m + [tex]\frac{n^{2} }{4}[/tex]
First insert the m value and then multiply
10m = 10(5) =50
then the equation becomes 50 + [tex]\frac{n^{2} }{4}[/tex]
Second insert the n value
[tex]\frac{4^{2} }{4}[/tex]
4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes
50+16/4
50+4=54
heyy could you help me out with this question I have been stuck in this question??
Answer:
true, false, true that is the answer I belive
que volumen ocupará 600 g de agua?
Answer:
Step-by-step explanation:
600 ml
Unrestrained growth of cells in a petri dish can be extremely rapid, with a single cell growing into a number of cells, N, given by the formula, N(t) = 8t, after t hours.
Enter the formula for the number of cells in the petri dish when a culture is started with 30 isolated cells.
The new formula is N(t) = .
How many cells do you expect after 3 hours?
You should expect ___
cells.
Answer:
New Formula is [tex] N(t) = 30t [/tex]
You should expect 90 cells
Step-by-step explanation:
✔️The new formula that would represent the number of cells when 30 isolated cells are used to start a culture would be:
[tex] N(t) = 30t [/tex]
✔️Number of cells, N(t), to expect after 3 hours, t:
Substitute t = 3 into [tex] N(t) = 30t [/tex]
Thus:
[tex] N(30) = 30*3 [/tex]
[tex] N(30) = 90 [/tex]
You should expect 90 cells
Find the maeasure of the exterior angle in the figure
Answer:
the answer would be 5b as the exterior angle is subdivided with the co efficient
Step-by-step explanation:
