Answer:
30%
Step-by-step explanation:
A percent can be found by dividing the part by the whole, or
part/whole
In this case, the part is the amount he spent on fruit. The whole is the total amount he spent.
amount spent on fruit/ total amount spent
He spent $18 on fruit, and $60 in total.
$18/ $60
Divide 18 by 60
18/60
0.3
Convert 0.3 to a decimal by multiplying by 100 or moving the deicaml place two spots to the right.
0.3*100=30
0.3--> 3.0 --> 30
30%
He spent 30% on fruit.
PLZ HELP I NEED BIG BRAINERZ HERE Evaluate the expression below and write the answer in standard exponent form. What is the power of the answer? 6.07288 × 10^14÷7÷37 × 10^4
Answer:
The solution would be 75911*10^10/462500 or 1.64132 x 10^9
Step-by-step explanation:
The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are
Answer:
36
Step-by-step explanation:
Let's call the # of boys and girls 5x and 3x respectively. We can write:
5x = 3x + 24
2x = 24
x = 12 so the # of girls = 12 * 3 = 36
Answer:
36 girlssolution,
Let the number of girls be X
Number of boys be 'x+24'
Now,
[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]
hope this helps..
Good luck on your assignment..
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta
Answer:
Approximately 3.2362.
Step-by-step explanation:
Recall that definition of cosecant and sine:
[tex]\displaystyle \sin(\theta) = \frac{1}{ \csc(\theta) }\text{ and } \csc(\theta)=\frac{1}{\sin(\theta)}[/tex]
Since we are given that sin(θ) ≈ 0.3090, this means that cosecant will be:
[tex]\displaystyle \csc(\theta)\approx \frac{1}{0.3090} = 3.2362[/tex]
Answer:
3.236
Step-by-step explanation:
csc=1/sinФ
csc=1/0.3090= 3.236
Rick asked a random sample of 160 students from his school what they did for lunch. The table shows the results of Rick’s survey. Work out the relative frequency of eating school lunch. Input note: give your answer as a fraction.
Answer:
43/160
Step-by-step explanation:
To find the relative frequency,
We just have to know things:
1. The data for asked event
2. Total number of data.
With these 2 points, we can create a fraction that is formed like this:
Data of event / Total data
In this case it is:
43/160
Hope this helps
How many terminal zeros does the integer equal to 80^16*75^8 have? PLZ HURRY DOING A TEST
Answer:
24 terminal zeros
Step-by-step explanation:
Here, we want to know the number of terminal zeros that the product if the integers above has
Terminal zeros refer to the zeros at the right of the last non zero digits
The product we are dealing with is;
80^16 * 75^8
80^16 itself has 16 terminal zeros
while 75^8 should have 8 terminal zeros
So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros
Answer:
24
Step-by-step explanation:
PLEEASEEEEE HEEELP 40 POINTS
f • g denotes the product of f and g, so that
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]
Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.
You can treat the product g • s similarly:
[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]
The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.
The leading term is , so the graph should resemble a stretched cubic curve reflected across the x axis.
Estimate 15% as a fraction in its simplest form.
Answer:
[tex] \frac{3}{20} [/tex]
Step-by-step explanation:
[tex]15\% = \frac{15}{100} [/tex]
So,
[tex] \frac{15 \div 5}{100 \div 5} = \frac{3}{20} [/tex]
hope this helps you.
Find the perimeter of ΔABC
HURRY TWO MINUTES PLEASE HELP
Answer:
(-1,-2)
Step-by-step explanation:
y≥-2x
y>|x+|^?
according to the graph only (-1,-1) are in the shaded area
Which inequality matches the graph? (2 points)
A) −2x + 3y > 7
B) 2x − 3y < 7
C) −3x + 2y > 7
D) 3x − 2y < 7
Answer:
D) 3x − 2y < 7
Step-by-step explanation:
We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.
In "intercept form," the equation of the line can be written ...
x/x-intercept +y/y-intercept = 1
Using the given intercepts, this is ...
x/2.3 +y/(-3.5) = 1
The answer choices suggest that we should multiply this by 7. When we do, we get ...
3x -2y = 7 . . . . the equation of the boundary line
__
The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.
As we said, x-values are less than those on the line, so the shaded area is ...
3x -2y < 7 . . . . matches choice D
Answer:
D) 3x − 2y < 7
Step-by-step explanation:
Took the test and got it right :)
Solve the following systems of linear equations graphically: 3x + 2y = 6 and
X = 2y + 4. You may use one of the following strategies: a) table of values,
b) x and y intercepts, or c) y = mx + b. In your response, be sure to specify
which strategy you are using. You do not need to submit a graph.
Vanswer
Answer:
The solution set is where the 2 lines intersect.
Step-by-step explanation:
Answer:
2.5 and -0.75
Step-by-step explanation:
i think i could be wrong x
Can any one please help me I really need help please help me thank you
Step-by-step explanation:
Plug in -2 whenever u see x
3(-2) -7= 5(-2-1)
-6-7= -10-1
-13 = -11
Therefore, x is not equal to -2.
Write the formula to find the profit %, if selling price and cost price both are given.
Answer:
[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent[/tex]
where,
SP=Selling price
CP=Cost price
For example:Given,
Selling price(SP)= 1000
Cost price(CP)=800
Now,
[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent \\ = \frac{1000 - 800}{800} \times 100 \\ = \frac{200}{800} \times 100 \\ = 25 \: percent[/tex]
Hope this helps...
Good luck on your assignment..
two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calculate the height of the larger container.
Someone please help,I'm not sure about my approach.I cross multiplied and ended up with the answer 1.90cm
Answer:
6 cm
Step-by-step explanation:
If the linear scale factor of two solids is k, then the volume scale factor is k^3.
The volume scale factor is 128/54 = 64/27 = (4/3)^3.
The linear scale factor is 4/3.
4.5 cm * 4/3 = 6 cm
Answer: The height of the larger container is 6 cm.
The height of the larger container is 6cm.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that two containers are mathematically similar.
Their volumes are 54cm³ and 128cm³.
The height of the smaller container is 4.5cm.
We need to find the height of the larger container
Let the linear scale factor of two solids is k, then the volume scale factor is k³.
The volume scale factor is 128/54
= 64/27
= (4/3)³.
The linear scale factor is 4/3.
Now multiply 4/3 with the 4.5.
4.5 cm × 4/3 = 6 cm
Hence, the height of the larger container is 6cm.
To learn more on Volume click:
https://brainly.com/question/13798973
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27a-(3b-(2a-(4a-c)+6a
(2a+3b-c)
Answer:
12a^2+18ab-6ac+25a-3b+c
Step-by-step explanation:
9 ^ (- 1/2) + 25 ^ (- 1/2) + 32 ^ (3/5)
Evaluate
Answer:
8.533333
Step-by-step explanation:
9^(− 1/ 2 )+25− 1 2 +32^ (3/ 5) = 9 (−1 /2) +25(− 1 /2) +32 ^(3 /5)
=0.333333+25^(− 1/ 2) +32 ^(3 /5)
=0.333333+25 ^(−1 /2) +32 ^(3/ 5)
=0.333333+0.2+32^ (3/ 5)
=0.533333+32 ^(3 /5)
=0.533333+8
=8.533333
A train travelled from Dhaka to Darshana. The train took 5 hours and 30 minutes. The train travelled a distance of 327 kilometres. Work out the average speed of the train. Give your answer in kilometres per hour correct to the nearest whole number.
Answer:
59 kph
Step-by-step explanation:
The train goes 327 in 5 and 1/2 hours
So we do 327 / 5.5 = 59.49.....
Then we round down to get:
59 kpm
What is the value of x in the equation -x - y = 30, when y = 15?
O 8
80
0 200
Answer:
x = -45.
Step-by-step explanation:
-x - y = 30
-x - 15 = 30
x + 15 = -30
x = -45
To check we are correct...
-(-45) - y = 30
45 - y = 30
-45 + y = -30
y = 15
So, x = -45.
Hope this helps!
Answer:
x = -45
Step-by-step explanation:
-x - y = 30
Let y = 15
-x - 15 = 30
Add 15 to each side
-x-15+15 = 30+15
-x = 45
Multiply each side by -1
x = -45
RE
AINING: -
48:41
Question 40 of 50
Find the equation of the straight line that passes through
(2,-3) and perpendicular to the line 3x-2y+4=0
A. 2y-3x=0
B. 3y-2x+5=0
C. 3y+2x+5=0
D. 2y-3x-5=0
Question 41 of 50
Answer:
C
Step-by-step explanation:
We start with the second line;
3x -2y + 4 = 0
3x + 4 = 2y
divide through by 2
3x/2 + 2 = y
Comparing this with standard form of y = mx + c
where m is slope
This means 3/2 is slope of the line
Since this line is perpendicular to the other line, then the product of their slopes is -1
3/2 * slope of second line = -1
Slope of second line = -1 divided by 3/2 = -2/3
We use the point slope form to find the equation of the other line
y-y1 = m(x-x1)
where m = -2/3 and (x1,y1) = (2,-3)
y-(-3) = -2/3 (x-2)
y + 3 = -2/3 (x -2)
3(y + 3) = -2(x-2)
3y + 9 = -2x + 4
3y + 5 = -2x
3y + 2x + 5 = 0
Simplify the expression:
(2x)^2 • 3x^3
Answer:
Step-by-step explanation:
(2x)²*3x³ 4x²*3x³12(x∧5)what is the 21st term of a sequence with A1 = -5 and D = 6
Answer:
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 5
d = 6
n = 21
We want to determine the value of the 21th term, thus, n = 21. Therefore,
T21 = - 5 + (21 - 1)6
T21 = - 5 + 120
T21 = 115
Answer:
115
Step-by-step explanation:
I had this on my test and I got 100%
plz help with this, Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Answer:
ANSWER:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
Answer:
I would say multiply everything by 2 and you’ll have an equivalent system of equations or multiply by 3 or any number, because im not sure if this is a multiple answer question, so sry
d(1)=12 d(n)=d(n−1)⋅(−6) what is the fourth term?
Answer:
-822
Step-by-step explanation:
Not sure how to explain.
Answer:
-18
Step-by-step explanation:
d(1) = 1/12
d(2)=d(1) • (-6)=-1/2
d(3)=d(2)•(-6)=3
d(4)=d(3)•(-6)=-18
What do I do next help
Answer:
20
Step-by-step explanation:
y = 35x + c
Put x as 1, and y as 55.
55 = 35(1) + c
55 - 35 = c
20 = c
Which number is rational? (HELP ME PLOX)
A. –2.1010010001...
B. –0.8974512...
C. 1.2547569...
D. 5.3333333...
Answer:
Option D.
Step-by-step explanation:
If a number can be written in the form of [tex]\dfrac{p}{q},q\neq 0[/tex], then it is know as rational number.
We know that,
Terminating decimal is always a rational number. and non-terminating decimals are rational if they are repeating decimals.
From the given options all numbers are non-terminating decimals but 5.3333333... is a number with repeating decimal.
So, 5.3333333... is a rational number.
Therefore, the correct option is D.
Which of the following has a positive value? sec (2pi/3) tan (2pi/3) cos (2pi/3) csc (2pi/3)
Answer: D) csc (2π/3)
Step-by-step explanation:
2π/3 is in Quadrant II
Quadrant II has a negative x-value and a positive y-value.
x-values are: cos & sec
y-values are: sin & csc
tan = y/x so will be negative in Quadrant II
A) sec = -
B) tan = -
C) cos = -
D) csc = + this works!
Assignment
The sum of the digits of a two-digit
number is to. The result of subtracting
twice the units digit from three times
the tens digit is 15. find the number.
Answer:
the correct answer is
lets say the number xy (x in tens place and y in units place)
first equation (x+y =10 i.e x=10-y
also 3x-2y=15 i.e 2y=3x-15)
second equation
substitution the value of x from first equation in second equation (or you can do vice- versa)gives you 2y=3(10-y)-15 and so,
2y=30-3y-15 i.e5y=15 and y=3
since x=10-y; x=10-3 which is 7
the answer is 73.
Step-by-step explanation:
hope this helps you!!!!
If f(x) = (x/6) - 5 then use what you know to find f-1(1)
Answer:
f^-1 = 36
Step-by-step explanation:
[tex]f(x) = (\frac{x}{6} ) -5\\f^{-1} (1) = ?\\f^-^1= \\y = (\frac{x}{6} ) -5\\ y = \frac{x}{6}-5\\y+5 = x/6\\Multiply -through- by ; 6\\ 6(y+5) =x\\f^-^1(x) = 6(x+5)\\f^-^1(1) = 6(1+5)\\ = 6(6)\\f^-^1 (1) = 36[/tex]
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
A line passes through (2,-1) and (4,5). Which answer is the equation of the line?
Answer:
C.
Step-by-step explanation:
Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3
Slope - point form:
y - y1 = m(x -x1)
y - 5 = 3(x - 4)
y - 5 = 3x - 12
- 3x + y = - 12 + 5
- 3x + y = - 7
Answer:
[tex] - 3x + y = - 7[/tex]Option C is the correct option.
Step-by-step explanation:
A line passes through ( 2 , -1 ) and ( 4 , 5 )
The equation of line:
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
Plug the values
[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]
Add the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]
Subtract the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]
Reduce the numbers with 2
[tex] \frac{y + 1}{x - 2} = 3[/tex]
Apply cross product property
[tex]3x - 6 = y + 1[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex]3x - y = 1 + 6[/tex]
Add the numbers
[tex]3x - y = 7[/tex]
[tex] - 3x + y = - 7[/tex]
Hope this helps...
Best regards!
13.4 x 0.05 x 1.8 =?
Answer:
1.206
Step-by-step explanation:
13.4 × 0.05 × 1.8
= 67/5 × 5/100 × 9/5
= 603/500
= 1.206