Answer:
C. 80Step-by-step explanation:
Let the number of people were surveyed is x.
We have 60% of x is 48 people.
Set this as equation and solve:
60% of x = 48x*60/100 = 480.6x = 48x = 48/0.6x = 80Correct choice is C.
Answer:
C. 80
Step-by-step explanation:
Given:
60% = 48 peopleLet x be the total number of people surveyed.
Set up a ratio of people to percentage and solve for x:
[tex]\implies \sf 48 : 60 = x : 100[/tex]
[tex]\implies \sf \dfrac{48}{60}=\dfrac{x}{100}[/tex]
[tex]\implies \sf x=100 \cdot \dfrac{48}{60}[/tex]
[tex]\implies \sf x=\dfrac{4800}{60}[/tex]
[tex]\implies \sf x=\dfrac{480}{6}[/tex]
[tex]\implies \sf x=80[/tex]
Therefore, the total number of people who were surveyed was 80.
Мальчик наловил пауков и жуков - всего 8 штук. У них вместе оказалось 54 ноги. Сколько пауков и сколько жуков поймал мальчик? Вспомни, что у паука 8 лап, а у жука - 6. ОТДАЮ !% ОЧКОВ!!! ПЖ РЕШИТЕ
Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.
[tex]\pink{ \rule{1pt}{90000000pt}}\color{blue}{ \rule{1pt}{90000000pt}}\color{yellow}{ \rule{1pt}{90000000pt}}\purple{ \rule{1pt}{90000000pt}} \green{\rule{1pt}{90000000pt}}
[/tex]
What is the value of x in the triangle?
Answer:
D
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
Carol has some dimes and quarters. If she has 19 coins worth a total of $3.10, how many of each type of coin does she have?
Answer:
Step-by-step explanation:
Equations
Let the dimes be x
Let the quarters be y
x + y = 19 (1) Multiply this equation by 0.1
0.1x + 0.25y = 3.10 (2)
0.1x + 0.1 y = 1.90 (3) Subtract 3 from 2
0.15y = 1.20 Divide by 0.15
0.15y/0.15 = 1.20/0.15
y = 8
x + y = 19
x + 8 = 19 Subtract 8 from both sides
x+8-8 = 19-8 Combine
x = 11
Answer
Carol has 8 quarters
She has 11 dimes
what is the value of the 9 in the number 2,448,901
When asking the value of '9' ⇒ in another number
⇒ means that it asking for the name of the position of that number in
the other number
Let's examine the name of the positions in the number:
⇒ look at the image attached
Based on the image:
⇒ 9 is the hundreds position of 2,448,901
Answer: hundreds
Hope that helps!
Answer:
Hundreds
Step-by-step explanation:
1=units
0=tens
9=hundreds
There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 553 is one way the dials can be set, as shown in the diagram. 45 451 2 3 4 (a) Work out the number of different three digit numbers that can be set for the combination lock.
The number of different three-digit numbers that can be set for the combination lock is 125
How to determine the number of different locks?The digits are given as
Digit = 1, 2, 3, 4, 5
Each digit can be repeated on the number lock.
So, the individual digit of the lock can be any of the 5 digits.
So, we have:
Locks = 5 * 5 * 5
Evaluate
Locks = 125
Hence, the number of different three-digit numbers that can be set for the combination lock is 125
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Which expression is equal to the one in the box?
(4- (-3))5 x
A. 15x
B. 4.(-3)5x
C. 45x .(-3)5x
D. 5x 4 (-3)
The correct answer is option B which is -4.(-3)5x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = ( 4 - ( -3 )) 5x
E = 4 (+3) ( 5x)
E = 12(5x)
E = 60x
Now we will check option B
E1 = -4(-3)5x
E1 = 12 (5x)
E1 = 60x
E = E1
Therefore the correct answer is option B which is -4.(-3)5x.
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Help me, please! For 20 pts
Answer:
First box ⇒ 3.6 x 10^-1
Second box ⇒ 3.1 x 10^6
Third box ⇒ 5.3 x 10^-6
Fourth box ⇒ 4.2 x 10^-1
Step-by-step explanation:
I used a calculator and solved it :)
Answer:
first square = 3.6 x [tex]10^{-1}[/tex]
Step-by-step explanation:
They are all multiplying so there is no need for parenthesis
(3.8 * 10³) * (9.4 * [tex]10^{-5}[/tex])
3.8 * 10³ * 9.4 * [tex]10^{-5}[/tex]
35.72 * [tex]10^{-2}[/tex]
35.72 =~ 36
Everytime you elevate a number, it's the same as...
3 * 10² = 100 * 3 = 300
0.3 * 10³ = 1000 * 0.3 = 300
so then...
36 * [tex]10^{-2}[/tex] = 3.6 * [tex]10^{-1}[/tex]
mohjjbn bn hjbjn hjbnm
Help pleasee math oo
Answer:
This equation has no solutions. So your answer is the last one!
Step-by-step explanation:
Answer:
The correct answer is D. none.
100
2
4
-5-4-3-2-4 1 2345
-3-
900
4
Which function represents g(x), a reflection of f(x) = 4
across the x-axis?
O g(x) = -4(2)*
g(x) = 4(2)-*
g(x) = -4
g(x) = 4*
Using translation concepts, the function that represents g(x) is given by:
[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function f(x) is given by:
[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]
Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:
[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]
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A patient is to take 7 mL of amoxicillin 250 mg/5 mL. How many milligrams?
Step-by-step explanation:
that means that in 5 ml there are 250mg.
and that means that in 1 ml there are 250/5 = 50 mg.
and now we can find out the mg in 7 ml (by multiplying everything by 7) :
7 ml = 50 × 7 = 350 mg
The sample mean for the number of years worked is , and % of the employees in the sample worked for the company for at least 10 years. Round your answers to the nearest integer.
The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
The mean = (sum of service years) / employees in the sample worked
[tex](8+13+15+3+13+28+4+12+4+26+29+3+10+3+17+13+15+15+23+13+12+1+14+14+17+16+7+27+18+24) /30\\= (417 / 30)[/tex]
= 13.9 years
= 14 years
The percentage of employees who have worked for at least 10 years :
The number of employees with service years ≥ 10 years
= 22 employees
Total number of employees
Percentage (%) = (22 / 30)
= * 100%
= 0.7333 x 100%
= 73.33% = 73%
Therefore, The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.
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What is the length of the hypotenuse of the right triangle shown below? bottom is 4 right side 3
Type your answer as an integer.
Answer:
5
Step-by-step explanation:
This is a 3,4,5 triangle
and to prove that;
3^2 + 4^2 = 5^2
25 = 25 is a correct statement
Which of the following algebraic expressions is not simplified?
A. 9x³y² +5x²y³ - 2x²y² + xy
3 2
2
B. -3a²b² +4ab² +6a²b-3ab
2.3
C. 2p²q² +2p²q²³ - 2p²q² + xy
D. 8m²n² +3m³n - 3n³m +9mn
PLEASE HELP ME ASAP!!!
Answer:
5.5
Step-by-step explanation:
The longest string length is 12 3/4 (12.75)
The two shortest string lengths are 3 and 4 1/4 (4.25)
combine the length of the tow shortest string by adding them together,
3 + 4.25 = 7.25
to find how much longer the longest string you subtract the two numbers,
12.75 - 7.25 = 5.5
6/(x^2-3x)=12/x+1/(x-3)
[tex]\\ \rm\Rrightarrow \dfrac{6}{x^2-3x}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12(x-3)+x}{x(x-3)}[/tex]
[tex]\\ \rm\Rrightarrow 6=12x-36+x[/tex]
[tex]\\ \rm\Rrightarrow 6=13x-36[/tex]
[tex]\\ \rm\Rrightarrow 13x=42[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{42}{13}[/tex]
graph the line the equation y= 1/3x+4
Answer:
Look at the image below!!
Step-by-step explanation:
So the format is y=mx+b
In this case, 1/3x would be mx
By the way, B is the Y INTERCEPT
So the Y would be placed on 4,
Then the format would be y/x (1/3)
1 is y and 3 is x
So we go up 1 and 3 to the right!!
Which will lead us to the image ^^
Ken and Barbie are using money they saved from their summer job. Barbie has $1,500 and is spending $80 per week. Ken starts with $600 and is spending $20 per week. How long will it take for Ken and Barbie to have the same amount of money? Qu He has $35 to spend. He must buy a gift card
Answer:
15 weeks
Step-by-step explanation:
For Barbie, keep subtracting 80 from 1,500 until you get to the lowest amount.
And for Ken, keep subtracting 20 from 600.
Once you are done, you will notice that both Barbie and Ken have $300 at 15 weeks. So your answer is 15.
solve this please and thank you
Answer:
-1/32
Step-by-step explanation:
1/4*1/8*1024 = 1024/32 = -32
Triangle MRN is created when an equilateral triangle is folded in half.
Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.
What is the value of y?
The value of y based on the values given ib the equilateral triangle will be 4.
How to illustrate the triangle?From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:
= 1/2 × 8 = 4
In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.
Here, value of y based on the values given ib the equilateral triangle will be 4.
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Answer:
Step-by-step explanation:
4
Let p: The whole number has one digit.
Let q: The whole number is less than 10.
Which represents "The whole number has one digit if and only if the whole number is less than 10"?
pvq
p^q
p-q
p q
The whole number has one digit if and only if the whole number is less than 10.
Let p: The whole number has one digit.
Let q: The whole number is less than 10.
We have to determine the,
PVC
p^q
p-q
p q
What is a whole number?An integer is colloquially defined as a number that can be written without a fractional component.
The whole number has one digit if and only if the whole number is less than 10.
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Which property is demonstrated in the equation 2 + 5 + 7 = 2 + 7 + 5
question attached please help
Answer:
h(0.1) = 4.97
Step-by-step explanation:
See attached working :)
Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1
A set of 48 cards are numbered from 1 to 48 if the cards are shuffled and one is chosen at random what is the probability that the number on the card is a mutiple of both 6 and 8.
[tex]|\Omega|=48\\A=\{24,48\}\\|A|=2\\\\P(A)=\dfrac{2}{48}=\dfrac{1}{24}\approx4.2\%[/tex]
Solve the quadratic equation 2x^2 + 6 = 8x by graphing.
A)
x = –3, x = 1
B)
x = –3, x = –1
C)
x = –1, x = 3
D)
x = 1, x = 3
Answer:
D is the right ans after solving eqn we get two value of x and they are 1 and 3
solve the inequality 2(4x-3)>-3(3)+5x
Answer:
[tex]x > -1\\[/tex]
Step by step explanation:
[tex]~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1[/tex]
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
8x3y2−_____+3xy2−4y3
x2y2
x3y3
7xy2
7x0y3
The term that could be put in the blank is x^2y^2
How to complete the polynomial?The polynomial is given as:
8x^3y^2 - ___ + 3xy^2 - 4y^3
From the above expression, we can see that each term has a decreasing power of x from x to 0.
The missing power of x in the expression is 2
So, the term that completes the expression must have x^2
Hence, the term that could be put in the blank is x^2y^2
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Answer:
its a
Step-by-step explanation:
If 3x−4y=2 is a true equation, what would be the value of -4(3x-4y)
Answer:
-8
Step-by-step explanation:
If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.
Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.
The value of equation - 4 (3x - 4y) will be;
⇒ - 4 (3x - 4y) = - 8
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The true equation is,
⇒ 3x - 4y = 2
Now,
Since, The true equation is,
⇒ 3x - 4y = 2 .. (i)
Hence, The value of equation - 4 (3x - 4y) is,
⇒ - 4 (3x - 4y)
Substitute from (i), we get;
⇒ - 4 (3x - 4y) = - 4 × 2
= - 8
Thus, The value of equation - 4 (3x - 4y) = - 8
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Solve 5x+7 > 17.
{x1x<2}
O {XIX> 2}
O {xIx>-2}
O {x1x < -2}
Answer:
The answer is [tex]x > 2[/tex]
Step-by-step explanation:
to solve this inequality:
[tex]5x+7 > 17[/tex]
Put "-7" on both sides
[tex]5x+10[/tex]
divide by 5 on both sides
your answer should be 2.
On March 26, Samuel Griffin deposited $20,000 in a savings account that pays 5 5% interest compounded daily until July 24.
5 days in march.
31 days in May
30 days in June
24 days through July
rate of 5% each day.
so about 90 days of interest daily.
So 5% of 20,000
5 percent *20000
= (5/100)*20000
= (5*20000)/100
= 100000/100 = 1000
So 1,000 a day
1,000 * 90
= 90,000