Answer: Ann = 67 Josh = 60 Claire = 30
Step-by-step explanation: You get the equation 5x+7 = 157. You get the equation because for example, Claire = x then josh = 2x and Ann = 2x + 7. You do all the math and boom! You get the answer :)
The number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
Given,
Ann, Claire, and Josh collect stickers.
One week, Ann collects 7 more stickers than Josh.
Josh collects twice as many stickers as Claire.
Total tickets collected = 157 stickers.
We need to find out how many stickers each collected.
Let the tickets collected by Ann, Claire, and Josh be A, C, and J.
We can write the following equation:
Ann collects 7 more stickers than Josh.
A = 7 + J _______(1)
Josh collects twice as many stickers as Claire.
J = 2C_______(2)
Total tickets collected = 157 stickers.
A + C + J = 157 ______(3)
Solve the equation (1), (2), and (3).
A = 7 + J _____(1)
J = 2C _______(2)
A + C + J = 157 ______(3)
Put J = 2C in A = 7 + J
A = 7 + 2C ______(4)
Put (2), (4) in (3)
7 + 2C + C + 2C = 157
7 + 5C = 157
Subtracting 7 on both sides.
7 + 5C - 7 = 157 - 7
5C = 150
Dividing both sides by 5.
C = 30
Putting C = 30 in J = 2C
J = 2x30 = 60
J = 60
Putting J = 60 in A = 7 + J
A = 7 + 60
A = 67
Thus the number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
Learn more about finding the numbers of stickers each person collected with the conditions given here:
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How much will it take to do a work of 190J with 15w power
Answer:
[tex]\Huge \boxed{\mathrm{12.67 \ s}}[/tex]
Step-by-step explanation:
[tex]\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}[/tex]
[tex]\displaystyle P= \frac{W}{t}[/tex]
[tex]\displaystyle 15= \frac{190}{t}[/tex]
Solve for t.
Multiply both sides by t.
[tex]15t =190[/tex]
Divide both sides by 15.
[tex]\displaystyle t= \frac{190}{15}[/tex]
[tex]t \approx 12.67[/tex]
[tex] \bf \underline{ \underline{given : }}[/tex]
Work = 190 JPower = 15 W[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]
Calculate the time ?
[tex]\bf \underline{ \underline{
Formula \: applied :}}[/tex]
[tex] \boxed{ \bf{Power = \frac{Work \: done}{Time} }}[/tex]
[tex]\bf \underline{ \underline{Solution : }}[/tex]
We know,
[tex]\sf {Power = \dfrac{Work \: done}{Time}}[/tex]
[tex] \sf{ Time = \dfrac{Work \: done}{Power } }[/tex]
Substituting the values of work and power, we get:
[tex] \sf \implies{Time = \dfrac{190}{15} }[/tex]
[tex] \sf\implies{Time = 12.66 \: s}[/tex]
Thus,the time taken by a body is 12.66 seconds.
pineapples are on sale for $1.50 per pound. Let y be the total cost in dollars of x pounds of pineapple which equation represents the situation
Answer:
y=1.5x
Step-by-step explanation:
Step 1: State what you know
Pineapples are 1.50 per pound
X represents how many pounds of pineapples you want to buy
Y represents how much do 'x' amount of pineapples cost in dollars
Step 2: Write the equation
y (the price of 'x' pounds of pineapple)=1.5(the cost of a pineapple)x(how many pounds of pineapples you bought)
Therefore the equation that represents the problem is y=1.5x
Answer:
y=1.5x
Step-by-step explanation:
order of operations
Simplify z+9(8−x)+8(z+8)=
Simplify (3−10)^2−(5−12)^2
Evaluate 2^2⋅4^3=
Answer:
z+9(8−x)+8(z+8)=
z+72-9x+8z+64=
9z-9x+136
(3−10)^2−(5−12)^2 parenthesis first
(-7)²-(-7)²=
49-(49)=49-49=0
2^2⋅4^3 exponent first
2*2*4*4*4
4*64=256
find the sum of -3/2 - 7/4 + 1/8
Answer: -25/8
Step-by-step explanation:
Answer:
The sum of -3/2-7/4+1.8 = -3.125
7.
I then took medicine prescribed by my doctor to help with my
fever. My fever went down 1.2 degrees every 4 hours. What is
my temperature after 12 hours?
Answer:
The answer would be 3.6 degrees less than the starting temperature.
Step-by-step explanation:
1.2 * 3 = 3.6
4*3 = 12
3.6/12 hours
what is the answer to
-9 +(-2)
Answer:
-11
Step-by-step explanation:
Substarct 2 from -9.
Answer:
-11
Step-by-step explanation:
lets think about it this way, you owe 9, you also owe 2, so altogether you owe 11, which is -11
Fill in the blank
answers parallel , congruent, opposite, quadrilateral, four ,four ,rhombus, connected right
pls help
Answer:
Quadrilateral
Four
Parallel
Four
Right
Congruent
Rhombus
Opposite
Connected
Step-by-step explanation:
Consider the function below. g(x) = 4x − 1 Find the difference quotient below (where h ≠ 0) and simplify your answer. g(x + h) − g(x) -------------------- h
Answer:
The difference quotient is 4.
Step-by-step explanation:
Given that:
[tex]g(x) = 4x - 1[/tex]
To find:
Difference quotient = ?
where [tex]h \neq 0[/tex]
Solution:
Formula for Difference quotient is given as:
[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]
First of all, let us find out [tex]g(x+h)[/tex]
Replacing [tex]x[/tex] with [tex]x+h[/tex]
[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]
Now,
[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]
Putting the above value in:
[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]
We are given that, [tex]h \neq 0[/tex]
[tex]\therefore \dfrac{4h}{h} = 4[/tex]
So, the difference quotient is 4.
N=1500(2^018t), t≥0 Find the initial number of cells (N) in the culture, given the exponential function.
Answer:
1500
Step-by-step explanation:
Step 1: Understand what the question is asking you
It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0
Step 2: Set t = 0
[tex]N = 1500(2^{0.18(0)} )[/tex]
Step 3: Solve for N
[tex]N = 1500(2^{0.18(0)} )[/tex]
[tex]N = 1500(2^{0} )[/tex]
[tex]N = 1500(1 )[/tex]
[tex]N = 1500[/tex]
Therefore when the initial amount of cells there in the culture is 1500
Find the solution for the following equation: 3x = 45
Answer: x = 15
Step-by-step explanation: Since x is multiplied by 3, divide both sides
of the equation by 3 to get x by itself, and show all your work!
Put both sides of the equation over 3
and cancel out the 3's on the left side.
It's tempting to want to show off your
math skills by doing the work in your head.
Don't fall into this trap!
It's extremely important to develop the habit
of writing every step down on paper or digitally.
It will serve you very well for many years.
Enter the numerator and denominator of a fraction in simplest form that is equivalent to 0.941941 Repeating.
Answer:
[tex]\frac{941}{999}[/tex]
Step-by-step explanation:
Let x = 0.941941........
Three digits are repeating. So, multiply both side by 1000
1000x = 941.941941...... (I)
x = 0.941941....... (II) {subtract equation (II) from (I) }
999x = 941
x = 941/999
Identify the roots of the equation x^2 = 9x − 14 by factoring. x = 2 or x = 7 x = −2 or x = 7 x = 2 or x = −7 x = −2 or x = −7
Answer:
x = 7, x = 2
Step-by-step explanation:
Given
x² = 9x - 14 ( subtract 9x - 14 from both sides )
x² - 9x + 14 = 0 ← in standard form
(x - 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and splve for x
x - 7 = 0 ⇒ x = 7
x - 2 = 0 ⇒ x = 2
Simply this expression: -2+3-(5-6x)
Answer:
6x-4
Step-by-step explanation:
Answer:
-4-6x
Step-by-step explanation:
you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x
what equation for 10-3x2+(7-4)
Answer:
13-6x
Step-by-step explanation:
10 - 3x ×2+(7-4)
10 - 6x+(7-4)
10-6x+3
=13-6x
write 23/25 as a decimal
hello, please help asap! Thank you <33
Answer:
1
Step-by-step explanation:
|x| means the absolute value, which is 4 and -4
Answer:
A
Step-by-step explanation:
So we have the equation:
[tex]|x|=4[/tex]
Solve for x. Use the definition of absolute value:
[tex]|x|=4[/tex]
This means that:
[tex]x=4\text{ or } x=-4[/tex]
And... we're done :)
The answer is A.
The original price of a toy was $400. It was increased by 20%. after some time the sale of toys decreased. So, the shop owner decided to decrease the price by 20%
What is the final price of the toy.
Answer:
$384
Step-by-step explanation:
Original price = $ 400
Increased price = 20% of 400
= [tex]\frac{20}{100}[/tex] * 400
= $ 80
Price after increase = 400 + 80 = $ 480
Decreased price = 20% of 480
= [tex]\frac{20}{100}\\[/tex] * 480
= $ 96
Price after decreasing 20% = 480 - 96 = $ 384
Final price of the toy = $ 384
This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
Since the distance AB is the radius of both circles:
AB = AC = BC = BD = AD = rSo the answer choices:
a. AC = BC
Correct, both equal to rb. AC = BD
Correct, both equal to rC. CD = AB
Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3d. ABCD is a square
Incorrect. ACBD is rhombuse. ABD is an equilateral triangle
Correct, all three sides are equal to rf. CD = AB + AB
Incorrect as CD = AB√3*PLEASE HELP , I DONT GET IT* What would be the volume of Prism F after a scale factor of 2 is applied to the dimensions?
Answer:
Increases by a factor 8.
Volume = 685.12.
Step-by-step explanation:
The volume will increase by a factor of 2^3 , because the volume is 3 dimensional.
That is the new volume = 85.64 * 8
= 685.12.
3.3x10^5+44,000 in scientific notation? please please
Answer
4.4×10^4
For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point
Step-by-step explanation:
If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
Answer:
Yes
Step-by-step explanation:
Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.
Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates
Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations
Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.
Bruhhh, I think we got to the same online school XD
Is it possible to draw a quadrilateral with one pair
of congruent consecutive sides?
- yes or no
It is possible to draw a quadrilateral with one pair of congruent consecutive sides
How to determine the true statement?A quadrilateral has four sides
The four sides can be congruent or not congruent
However, when a pair of consecutive sides are congruent, then the quadrilateral is a square
Hence, the statement is yes
Read more about quadrilaterals at:
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PLEASE HELP ME ILL MARK BRIANLIEST I NEED IT ASAP!
Answer:
14(1/2-t)≤28
14(1-2t)/2≤28
14-28t≤28
-28t≤56-14
-28t≤42
t≤42/-28
t≤ -1.5
15k+11≤18k-5
15k-18k≤-5-11
-3k≤-16
k≤-16/-3
k≤-5.333
44y>11+88y-22y
44y>11+66y
44y-66y>11
-22y>11
y>11/-22
y>-0.5
7/9(b-27)>49/81
(7b-180)/9>48/81
81(7b-189)>9(49)
567b>441+15309
567b>15750
b>15750/567
b>27.78
what is blank plus 1/2 to equal 4
Answer:
either 3 1/2 or 7/2
Step-by-step explanation:
4 is equal to 8/2
8/2 minus 1/2 is 7/2
7/2 can be simplified to be 3 1/2
18 divide by 2/3 ??????????
Answer:
30
Step-by-step explanation:
2/3 = .6
18/.6 = 30
Answer:
27
Step-by-step explanation:
If you want to divide a fraction, you have to divide it from it's reciprocal.
The reciprocal of 2/3 is 3/2.
Now, you have to multiply 3 and 18
18 x 3/2 = 54/2
54 divided by 2 is 27.
Hope it helped :>
3(x+14)=42 plz need help now
Answer:
0
Step-by-step explanation:
So we have the equation:
[tex]3(x+14)=42[/tex]
Divide both sides by 3:
[tex]x+14=14[/tex]
Subtract 14:
[tex]x=0[/tex]
The value of x is 0
Answer: x=0
Step-by-step explanation:
Given
3(x+14)=42
Distributive property
3x+42=42
Subtract 42 from both sides
3x=0
Divide 3 on both sides
x=0
----------------------------------------------------
Given
3(x+14)=42
Divide 3 on both sides
x+14=14
Subtract 14 on both sides
x=0
Both ways are fine
Hope this helps!! :)
Trisha wants to be a nurse practitioner or doctor for her future career. Which CTSO would be best for Trisha to join?
A. TSA
B. DECA
C. HOSA
D. FEA
Answer:
C. Since she wants to be a nurse she'd go into the health and technology field.
Step-by-step explanation:
TSA - Technology Student Association or Transportation Security Administration
DECA - Defense Commissary Agency
HOSA - Health Occupations Students of America
FEA - ?
Answer:
C. HOSA
Step-by-step explanation:
Property can be used to remove the parentheses in the expression 1.7(x+9)
Answer:
The Distributive Property.
Step-by-step explanation:
1.7(x + 9)
= 1.7 * x + 1.7 * 9
= 1.7x + 15.3.
Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588
Answer:
x =3.6Step-by-step explanation:
[tex]10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6[/tex]
i need help A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
Answer:
first of all i need to know the fractions and answer choices to answer this question.