Answer:
70 students
Step-by-step explanation:
As, 30% Mike surveyed
And these 30% are 21 students
So 30% of X = 21
= 30/100 x X = 21
= 30X = 2100
So X = 2100/30
X = 70
So 70 students were surveyed
There are 70 students did Mikey survey.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Of all the students that Mikey surveyed, 30% said they play baseball.
And, There are 21 students play baseball.
Now, Let number of students did Mikey survey = x
So, We can formulate;
⇒ 30% of x = 21
Solve for x;
⇒ 30/100 × x = 21
⇒ 30x = 2100
⇒ x = 70
Thus, The number of students did Mikey survey = 70
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find the slope of the following graph
a) 1/2
b) 2
c) -2
d) -1/2
Answer:
c. -2
Step-by-step explanation:
because the linear line goes down we know it is negative
and its not 1/2 because it is rise over run. it runs 1 and rises 2 (or drops 2 because it is negative)
rise over run = -2/1 = -2
2q-r=p, r=q-s, p=q+2r prove s=2r
Answer:
s=2r
Step-by-step explanation:
Solution:
Given;
2q-r=p
r=q-s
or,q=r+s
p=q+2r
To prove: s=2r
Now,
2q-r=p
or,2(r+s)-r=q+2r
or,2r+2s-r=r+s+2r
or,r+2s=3r+s
or,s=2r
PROVED
If you want any other solutions follow me
THANK YOU
By using the substitution method we can prove s = 2r.
Given,
2p - r = p
r = q - s
p = q + 2r
We need to prove s = 2r.
What is a substitution method?It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.
Example:
x + 4 = y _____(1)
x = y - 4
x + 5 = 2y ______(2)
Putting x = y - 4 in (2)
y - 4 + 5 = 2y
-4 + 5 = 2y - y
1 = y
y = 1
Prove s = 2r.
We have,
2q - r = p ____(1)
r = q - s _____(2)
p = q + 2r ______(3)
From (1) and (2)
Substituting (2) in (1)
2q - (q - s) = p
2q - q + s = p
q + s = p _____(4)
Putting (4) in (3)
q + s = q + 2r
q - q + s = 2r
s = 2r
Hence proved.
Thus we can prove s = 2r.
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write the ratio as a fraction in simplest form.
56 days to 5 weeks
Answer: 8 weeks
Step-by-step explanation:
3x-8y=-2 and 14x+8y=36
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
Brandon buys a radio for $45.87 in a state where the sales tax is 7%.How much does he pay in taxes? If necessary, round to the nearest cent.
Answer:
49.0809
Step-by-step explanation:
One factor of x^2 + 5x - 24 is?
Answer:
(x-3)(x+8)
Step-by-step explanation:
Answer:
(x-3)(x+8) take your pick
Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?
Answer:
Nothing left
Step-by-step explanation:
Nothing left
2/7+4/5=38/35
1 3/35
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]
You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.
Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])
= [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]
= [tex]\frac{4}{7}[/tex]
Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]
= [tex]\frac{1}{7}[/tex]
Helen and Stephanie par
cipated in the Christmas bird count. Helen
counted four less than twice the number of birds that Stephanie counted. If c
represents the number of birds Stephanie counted, which of the following
expressions gives the number of birds that Helen counted?
i really really really like birds
the table shows types of guinea pig food
(look at picture)
Answer:
I ned pls more
Step-by-step explanation:
Pls for I can be cool.
Answer:
Answer is H. You are Welcome
PLEASE HP ME I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!!
Luke has a savings account with an initial balance of $380. He makes two transactions.
After the two transactions, the balance of Luke's savings account is the same as the
initial balance.
Which of the following could be the two transactions that Luke made?
a. A withdrawal of $200 and a deposit pf $180
b. A withdrawal of $215 and a deposit of $215
C. A withdrawal of $200 and a withdrawal of $180
d. A deposit of $400 and a withdrawal of $20
Answer:
If Luke ends up with the same as the start $380 that means he withdrew and deposited the same amount. Answer will be b.
Step-by-step explanation:
$380 - $215 = $ 165
$165 + $215 = $ 380
Answer:
10
Step-by-step explanation: r+6+5
t is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatures?
Answer:
because at 40 its still warm but really cold but in -5 its cold wherever you go even in the warmest blanket
Step-by-step explanation:
(60) POINTS AND 5 STAR AND THANKS AND BRIAN-LIST!!!!!
The chart below describes the speed of four desktop printers.
Which printer is the fastest?
A Roboprint
B Voltronn
C Vantek Plus
D DLS Pro
6 A store sells bags of 12 apples for $3.60. What is the unit cost per apple?
A $0.30
B $0.33
C $3.33
D $3.60
Answer:
1. Send me the chart and ill get you the answer.
2. unit cost is $0.30
Step-by-step explanation:
At the local bookstore, Jim bought 2 paperback books for $13.00. Maria bought 5 paperback books for $32.50. Tanya bought 7 paperback books for $45.50. Graph the situation.
Answer:
Hi
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Ignore the "$".
Jenny's grandmother has $24$ cats. Seventeen of the cats do not catch mice. Ten of the cats have black fur. What is the smallest possible number of cats that do not catch mice that have black fur?
Answer:
Note that 24 - 10 = 14 don't have black fur
And suppose that these 14 are part of the 17 that don't catch mice
Then.....3 that catch mice must also have black fur....and this is the smallest number that do not catch mice but have black fur
A small bag of flour weighed 30 ounces. A large bag was 10% heavier. How much does the large bag weigh?
Answer:
33 is the large bag
Step-by-step explanation:
10% of 30 = 3
30 + 3 =33
4/3 in a mixed numbers
Answer:
the answer is
[tex]1 \frac{1}{3} [/tex]
khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution
both inequalities must start with y
Answer: Khloe could buy 3 bags of popcorn and 9 candies.
Step-by-step explanation:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of candies}
the number of candies
\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}
“no less than 11 items"→11 or more items
Use a \ge≥ symbol
Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:
x+y\ge 11
x+y≥11
\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}
“$60 to spend"→can spend $60 or less
Use a \le≤ symbol
One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:
7x+4y\le 60
7x+4y≤60
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}
x+y≥11
y≥11−x
7x+4y≤60
4y≤60−7x
y≤
4
60−7x
y≤15−
4
7
x
Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−
4
7
x by shading down:
0
the number of bags of popcorn
the number of candies
x
y
0
the number of bags of popcorn
the number of candies
(3, 9)
Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:
Khloe could buy 3 bags of popcorn and 9 candies.
The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased
Now , the total number of bags should be no less than 11
And , the inequality is
x + y ≥ 11 be equation (1)
And , cost of each popcorn bag = $ 7
So , the cost of x bags = 7x
And , cost of each candy bag = $ 4
So , the cost of y bags = 4y
The total amount with Khloe = $ 60
And , the inequality is
7x + 4y ≤ 60 be equation (2)
On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution
So , 7 ( 3 ) + 4 ( 9 ) ≤ 60
21 + 36 ≤ 60
57 ≤ 60
And , 3 + 9 ≥ 11
12 ≥ 11
Hence , the system of inequalities are solved and the graph is plotted
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Given h(x) = -x + 5, find h(-5).
Answer:
10
Step-by-step explanation:
h(x) = -(-5) + 5
h(x) = 5 + 5
h(x) = 10
Using the given zero, find all other zeros of f(x).
PLEASE HELP
-2i is a zero of f(x) = x4 - 5x2 - 36
2i, 6i, -6i
2i, 3i, -3i
2i, 6, -6
2i, 3, -3
Answer:
((x-4) - 5x2) - 36 = 0 ... 3.2 Find roots (zeroes) of : F(x) = 5x6 + 36x4 - 1 ..............
2i, 6, -6
Step-by-step explanation:
Simplify
A) 3y-y
B)6q+4- q + 5
Thanks to who ever answers:)
Answer:
=3(y-y)
=3
= 6q-q+9
=q(6-1)+9
=5q+9
∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 2 x + 27 ) ∘ ∠A=(2x+27) ∘ and m ∠ B = ( x + 27 ) ∘ ∠B=(x+27) ∘ , then find the measure of ∠ B ∠B
Answer:
[tex]B = 69[/tex]
Step-by-step explanation:
Given
[tex]A = 2x +27[/tex]
[tex]B = x +27[/tex]
Required
Determine B
First, we need to solve for x
Since both angles are supplementary, then
[tex]A + B = 180[/tex]
Substitute values for A and B
[tex]2x + 27 + x + 27 = 180[/tex]
Collect Like Terms
[tex]2x + x = 180 - 27 - 27[/tex]
[tex]3x= 126[/tex]
Divide through by 3
[tex]x = 42[/tex]
Recall that:
[tex]B = x +27[/tex]
Substitute 42 for x
[tex]B = 42 + 27[/tex]
[tex]B = 69[/tex]
The image above is a parallelogram because both pairs of opposite sides are parallel by the converse of the
Alternate (Interior Exterior) Angle Theorem.
Write which word should go in the underlined space after the word Alternate?
Directions for answering:
Choose the correct word in the parenthesis in the sentence above and type it exactly as shown into the answer
space.
Answer:
msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx
The sum of two numbers is 61, the difference is 31. What are the numbers?
Answer:
2x = 92
x = 46
For the next number:
y = 61 - 46
y = 15
Have a great day!
Answer:
Step-by-step explanation:
For the First Number you would:
1. 2x = 92
2. x = 46
For the second number you would :
1. y = 61 - 46
2. y = 15
What is the slope of the line represented by the equation Y=4/5x-3?
please tell fast plzzzzzzz
Answer:
[tex]\huge\boxed{\sf k = 2}[/tex]
Step-by-step explanation:
Coordinate = (x,y) = (2k-1,k)
This means that:
x = 2k - 1 and y = k
Put it in the given equation: 5x - 4y = 7
5(2k-1) - 4k = 7
10k - 5 - 4k = 7
6k - 5 = 7
Adding 5 to both sides
6k = 7+5
6k = 12
Divide both sides by 6
k = 2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Q1 a) Kamahi invests some money which earns compound interest every year. His investment
amounts to sh60, 500 at the end of the second year and sh 73,205 at the end of the fourth year. Find
the rate of interest of the investment.
(5 marks)
Answer: 2=2
Step-by-step explanation:
Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by
[tex]A=Pe^{rt}[/tex]
where P is the principal investment, r is the interest rate, and t is the number of years.
At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system
[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]
for r. You can eliminate P by dividing
[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]
Take the logarithm (log here means natural log) of both sides to get
2r = log(121/100)
r = 1/2 log(121/100)
r ≈ 0.0953
So the interest rate is about 9.53%.
Given ΔACP≅ΔLNX, find each missing measure.
Answer:
XL = PC
AC = NX
PC = XL
Angle L = Angle C
Angle C = Angle L
Angle X = Angle P
Step-by-step explanation:
Solve the equation -3=6x-3y for y
Answer:
y = 2x + 1
Step-by-step explanation:
-3 = 6x - 3y
Add 3y to both sides.
3y - 3 = 6x
Add 3 to both sides.
3y = 6x + 3
Divide both sides by 3.
y = 2x + 1
Write 3 expressions that are equivalent to 9x(78)
Example:9(80-2)
Answer:
3*3(156/2)9(95-17)10-1(80-2)Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?
9514 1404 393
Answer:
y = 12x +24744Step-by-step explanation:
If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...
y = 12x +24 . . . . . equation modeling party cookies
__
For x=60, the number of cookies at the party is ...
y = 12·60 +24 = 720 +24
y = 744 . . . cookies at the party