Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.
Answer:
Duration = 6 hours
Step-by-step explanation:
Given
[tex]Regina: 6.50h + 16[/tex]
[tex]Phil: 3(2.5h + 5)[/tex]
[tex]Joseph: 7.50h + 10[/tex]
Required
When will Ragina and Joseph earn equal amounts
To solve this:
[tex]Regina = Joseph[/tex] must be true
This gives:
[tex]6.50h + 16 = 7.50h + 10[/tex]
Collect Like Terms
[tex]7.50h - 6.50h = 16 - 10[/tex]
[tex]h = 6[/tex]
Hence, number of hours is 6
−3 ( −3b + 5 ) + 9 ( 7b + 5
Answer:
72b+30
Step-by-step explanation:
Assuming that the other parentheses is after the 5 and not after 7b:
-3(-3b+5)+9(7b+5)
9b-15+63b+45
72b+30
solve for x 4 - (x + 2) < -3(x + 4)
in 4 - (x + 2) < -3(x + 4), x < -7
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x<-7
Step-by-step explanation:
Use inverse operations to solve
4 - ( x + 2 ) < -3 ( x+ 4)
first distribute the (-) sign and the (-3)
4 -x -2 < -3x -12
simplify
2 -x < -3x -12
simplify again, with inverse operations
2 -x < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
/2 /2
x<-7
Directions: Find the number of hours worked each day.
Answer:
From my calculations it should be 9 hours
The product of 79 and -0.22 is a positive number. True Or False
Answer:
False
Step-by-step explanation:
We know that this statement is false because a positive number times a negative number will produce a negative answer.
Answer:
False
Step-by-step explanation:
You will get a positive number only by multiplying two positive numbers or two negative numbers.
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
Joey wants to collect 20 coins from foreign countries. If he has 3 coins so far, what percent of his collection is complete?
Answer:
17%
Step-by-step explanation:
I think you maybe have to subtract
Answer:
15%
hope this helps!
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
Wich is equivalent to 12(3 2/3)!?
Answer:
1/5 = 2/10 = 3/15 = 4/20
= 5/25 = 6/30 = 7/35 = 8/40
= 9/45 = 10/50 = 11/55 = 12/60
= 13/65 = 14/70 = 15/75 = 16/80
= 17/85 = 18/90 = 19/95 = 20/100
= 21/105 = 22/110 = 23/115 = 24/120
= 25/125 = 26/130 = 27/135 = 28/140
= 29/145 = 30/150 = 31/155 = 32/160
= 33/165 = 34/170 = 35/175 = 36/180
= 37/185 = 38/190 = 39/195 = 40/200
= 41/205 = 42/210 = 43/215 = 44/220
= 45/225 = 46/230 = 47/235 = 48/240
= 49/245 = 50/250 = 51/255 = 52/260
= 53/265 = 54/270 = 55/275 = 56/280
= 57/285 = 58/290 = 59/295 = 60/300
= 61/305 = 62/310 = 63/315 = 64/320
= 65/325 = 66/330 = 67/335 = 68/340
= 69/345 = 70/350 = 71/355 = 72/360
= 73/365 = 74/370 = 75/375 = 76/380
= 77/385 = 78/390 = 79/395 = 80/400
= 81/405 = 82/410 = 83/415 = 84/420
= 85/425 = 86/430 = 87/435 = 88/440
= 89/445 = 90/450 = 91/455 = 92/460
= 93/465 = 94/470 = 95/475 = 96/480
= 97/485 = 98/490 = 99/495 = 100/500
Step-by-step explanation:
all of these are equivalent
Answer: 36/11 Or 3 3/11
Step-by-step explanation:
Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5
==========================================================
Explanation:
The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.
Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.
--------
Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.
This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.
Answer:
A
Step-by-step explanation:
ed2020
The perimeter of a rhombus is 40 cm and the length of one of its diagonals is 12 cm then the length of the other diagonal is
Answer:
16 cms.
Step-by-step explanation:
The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).
If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).
The side of the rhombus is the hypotenuse of the right triangle.
So if we consider one triangle:
10^2 = 6^2 + x^2 where x is half the length of the other diagonal.
x^2 = 10^2 - 6^2
x^2 = 100 - 36 = 64
x = 8 cm.
So the diagonal is 16 cms long.
Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?
Answer:
50.75
Step-by-step explanation:
253.75/5
Express the ratio DE/AB in simplest form
What is the solution of the equation 8x^3 = -64?
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]8x^3=-64[/tex]
Divide both sides by 8:
[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]
[tex]x^3=-8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]
[tex]x=-2[/tex]
Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6
Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.
Step-by-step explanation:
Given: Stephanie can run one lap around a track in 5 minutes. Lisa can run one lap in 6 minutes.
If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)
prime factorization: 5=5 , 6 =2 x 3
So, LCM(5,6) = 5 x 2 x 3 = 30
Hence, it will take 30 minutes until they complete a lap together.
a sidewalk is 5ft wide, 6in deep, and 220 ft long. how many cubic yards of concrete are needed to fill it?
Answer:
1100/54 yds
Step-by-step explanation:
First convert inches and feet to yards
[3 ft = 1 yd, 12in = 1yd]
5ft = 1 2/3 yds
6in = 1/6 yds
220ft = 73 1/3 yds
Now use the volume formula,
b*w*h = A
[1 2/3] * [1/6] * [73 1/3]
= [5/3] * [1/6] * [220/3]
= [5/18] * [220/3]
= 1100/54 yds
aey sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called
Answer:
See below
Step-by-step explanation:
A sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called ...
accidental sampleor grab sampleor convenience sample or opportunity sampleAll above refer to same method
sin3A/sinA-Cos3A/CosA=2
Answer:
sin3A/sinA-Cos3A/CosA=2
taking LCM
= Sin3A.CosA - Cos3A. SinA
SinA . CosA
= Sin(3A-A)
SinA . CosA
= Sin2A
SinA . CosA
= 2 SinA. CosA
SinA . CosA
=2
Step-by-step explanation:
One number is 19 larger than the other, and the sum of these numbers is 97. What is the larger number? Plz help asap
Answer:
58
Step-by-step explanation:
I have attached an image with this answer that will help you to visualise this question. I will now explain it.
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
[tex]97+19=116[/tex]
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
[tex]116\div2=58[/tex]
Answer:
58
Step-by-step explanation:
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?
Answer:
5
Step-by-step explanation:
First find the number that have their own cell phone
1/4 * 40 = 10
There are 10 students with their own cell phone
1/2 of the 10 can use social media
1/2 * 10 =5
5 have their own cell phone and can use social media
Answer: 10 students have a cell phone and only 5 of them can use social media
Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.
Which number(s) below belong to the solution set of the inequality? Check all
that apply
5x 2>= 145
A. 31
B. 10
C. 55
D. 11
E. 29
F. 8
Answer: 29 for shure
Step-by-step explanation:
I got it on mine
The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work
Answer:
x=75
Step-by-step explanation:
first no.=x
second no.=x+1
third no.=x+2
now,
or,
x+x+1+x+2=228
or,
3x+3=228
or,
3x=228-3
or,
x=225/3
x=75 ans
Please help would be very very appreciated
Answer:
115
Step-by-step explanation:
I hoped I help friend◇
Find the sum. 4.88 * 1.6
Answer: 7.808.
Take the 2 values and multiply them together using the digits
y = 4x - 5.
Graph the math problem
Answer:
so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=4 passing through (7,5)
What is the point-slope form of the equation of the line?
?
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
Factor by grouping
ab + 7a + 4b + 28
Answer:
(b + 7)(a + 4)
Step-by-step explanation:
ab + 7a + 4b + 28
separate the polynomial into 2 sections
(ab + 7a) (+ 4b + 28)
simplify each expression
a(b + 7)
4(b + 7)
you see that you have (b + 7) in both expressions. take that aside.
(b + 7)
you are left with a and positive 4. put these two together
(a + 4)
now put the expressions together
(b + 7)(a + 4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(b + 7)(a + 4)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ab + 7a + 4b + 28}[/tex]
Take a common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4b + 28}}[/tex]
Take 4 common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4(b + 7)}}[/tex]
Take ( b + 7 ) common
[tex] \dashrightarrow{ \sf{(b + 7)(a + 4)}}[/tex]
Hope I helped!
Best regards! :D
whats the answer of 23,869 in long division
----------
038 -38-------------
08 -8----------
90 -90TOTAL ANS; 1194.45THE REASON WHY THE 9 TURNED INTO 90 WAS BECAUSE: 9 CAN NOT BE DIVISIBLE BY TWO SO I HAD TO ADD A 0 AND REPLACE THE symbol (.)IN THE ANSWER.I HOPE IT HELPED YOU.DON'T HESITATE TO ASK FOR FURTHUR EXPLANATION.HELP ME FIND HIM (MY LOST LOVE).THANK YOU.# THE BEAUTIFUL EMPRESS!!
HELP !! Find the x with the details in this picture^^
Answer:
x = 3.9
Step-by-step explanation:
So the whole angle PQS = 111 degrees
it gave you part of it so subtract that off . 111 - 72 = 39 degrees
10 times what equals about 39 degrees.
39/ 10 = 3.9