There are 320 students in a school.
There are 36 more boys than girls.
What fraction of the students in the school are boys?
Sharon made $45 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?
Answer: The interest rate was 9%.
Step-by-step explanation:
If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :
[tex]R=\dfrac{I\times100}{P\times t}[/tex]
As per given,
P = $ 500, I = $45, t = 1 year
Substitute values in formula , we get
[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]
Hence, The interest rate was 9%.
HELP WILL GIVE BRAINLIEST Given an expression can you write an equivalent form of the expression and explain the properties you used?
Answer:4^-3 could also be written as 1/4^3
Step-by-step explanation:
Negative exponent rule in which the number with a negative exponent gets moved to the denominator.
What is the inverse function (equation) of f(x) = 6x - 5 ?
Step-by-step explanation:
Given
f(x) = 6x - 5
f^-1(x) = ?
Let
y = f(x)
y = 6x - 5
Interchanging the roles of x and y we get
x = 6y - 5
6y = x + 5
y = ( x + 5 ) / 6
So therefore f^- 1(x) = (x + 5) / 6
Hope it helps :)❤
Kathryn and karina are neighbours and they are each planning rosebushes and butterfly plants in their yard. They bought their plants from the same store. Catherine spent $111 on four rosebushes and seven butterfly plants. Karina spent $132 on five rosebushes and eat butterfly plants. What is the cost of one rosebush and the cost of one butterfly plant?
A rosebush : $10, butterfly plant $7
B Rose bush: $9 ,butterfly plant $12
C rosebush; 12 , butterfly plant $9
D rose bush : $14, butterfly plant $7
Answer:
d a rosebush 14 butterfly plant 7
Step-by-step explanation:
don't believe me ask some body else okkkkkur
A car travels a distance of 190 miles in a time of 3.4 hours.
What is its average speed rounded to 1dp?
Answer:
55.9 mph
Step-by-step explanation:
190/3.4 = 55.88 mph rounded to one dp = 55.9 mph
A car travels a distance of [tex]190[/tex] miles in a time of [tex]3.4[/tex] hours, then its average speed will be [tex]56[/tex] miles per hour.
What is average speed ?Average speed is speed is the total distance traveled by the car in a particular time of interval.
Average speed [tex]=\frac{Total \ Distance}{Total \ Time}[/tex]
We have,
Distance [tex]=190[/tex] miles
Time[tex]= 3.4[/tex] hours
So, Using the above given formula,
Average speed [tex]=\frac{Total \ Distance}{Total \ Time}[/tex]
[tex]=\frac{190}{3.4}[/tex]
[tex]=56[/tex] miles per hour
So, the average speed of car is [tex]56[/tex] miles per hour which is find out using the above given formula.
Hence, we can say that if a car travels a distance of [tex]190[/tex] miles in a time of [tex]3.4[/tex] hours, then its average speed will be [tex]56[/tex] miles per hour.
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area is the amount of .......a figure covers ?
Answer:
surface
Step-by-step explanation:
Answer: Area for a 2D image is the space it covers.
Step-by-step explanation:
If you have an empty square and you shade it in, what you are shading is its area. You can find area of a square or rectangle by multiplying its length by its width. For more complicated shapes there are formulas you can use.
I don’t understand pls help!!
Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place
I need help with this question
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the indices,
[tex] \frac{ {2}^{6} }{ {2}^{4} } \times {2}^{5} [/tex]
===>
[tex] {2}^{6 - 4} \times {2}^{5} [/tex]
===>
[tex] {2}^{2} \times {2}^{5} [/tex]
===>
[tex] {2}^{5 + 2} [/tex]
===>
[tex] {2}^{7} [/tex]
hence the answer is
[tex] {2}^{7} [/tex]
Answer:
2^7
Step-by-step explanation:
2^6/2^4)*2^5=128
2^7=128
4. What expression represents the width of the room?
Answer:
35-4
Step-by-step explanation:
Answer:
Let x = represents the width
m.
Step-by-step explanation:
hope that helps -w-
Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.
Answer:
Cost of ten bananas and ten pears is £ 3.90
Step-by-step explanation:
As three bananas and two pears cost 95 p and five bananas and three pears cost £ 1.51 or 151 p ,
subtracting former from latter, we get
two bananas and one pear cost 151 p − 95 p = 56 p
and doubling four bananas and two pear cost 56 p × 2 = 112 p
Hence, one banana costs 112 p − 95 p = 17 p .
and two bananas cost 17 p × 2 = 34 p
and hence one pear costs 56 p − 34 p = 22 p
Hence cost of ten bananas and ten pears is
10 × 17 p + 10 × 22 p = 170 p + 220 p = 390 p = £ 3.90
Hope it helps
Please mark me as the brainliest
Thank you
Directions: Review the table shown here,
Input
1
Output
120
4
450
1
140
4
450
Which statement best explains why the data in the table above does not represent a
function?
A. Each input has only one output.
B. Each output has only one input.
C. One input has more
one output
D. One output has more than one output.
Answer:
rStep-by-step explanation:
d
Matthew made a fruit salad in which the ratio of blueberries to red grapes is 8:6 if Matthew use 28 blueberries how many red grapes did he use
Answer:
21 red grapes
Step-by-step explanation:
B:G
8:6
28:x
28/8=3.5
therefore 6*3.5 = x
Answer:
The answer is 21
Step-by-step explanation:
If you do 28/8 you get 3.5. So he used 3 1/2 blueberries. Then you have to times 6 by 3.5 to get 21. Put it back into ratio form and you get 28:21
Hope this helps!
if triangle def is similar to triangle jkl find kl
Answer:
KL=45
Step-by-step explanation:
find x: 9(2x+1)=81(3x+2)
Answer:
Exact form: x = -17\25
Decimal form: x = -0.68
3/8 - 1/4x =1/2 x - 3/4
please help solve for x and show work
Answer:
x=3/2 (or 1.5)
Step-by-step explanation:
Subtract 3/8 from both sides
Simplify
Subtract 1/2x from both sides
Simplify
Multiply both sides by 4
Simplify
Divide both sides by -3
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
Answer: answer is $33.60
Step-by-step explanation:
A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles
Answer:
30 miles
Step-by-step explanation:
Distance = speed x time
30 minutes can be considered as ½ an hour.
60 x ½=30miles
Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?
find the size of angle X.
The size of angle x is 115.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
The whole complete angle is 360.
This means,
164 + 81 + x = 360
Solve for x.
164 + 81 + x = 360
245 + x = 360
x = 360 - 245
x = 115
Therefore,
The size of angle x is 115.
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How do you solve this and please use explanation if you can.
Answer:
i honestly dont know
Step-by-step explanation:
i need pointsss
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 25 years.
Answer:
15,600,000
Step-by-step explanation:
We start with our initial population of 600,000. Then multiply that with the rate of 4% (0.04 in decimal, or 1.04 so that the 0.04 is automatically added to the 600,000.)
600,000 · 1.04y = projected populationy = 25600,000 · 1.04(25) = projected populationsimplify!15,600,000 = proejcted population£3.23 + £1.47 =
What is the answer i've tried so many different ones an they never seem to be wright?
Answer:
£4.7
Step-by-step explanation:
Answer:
£4.7
Step-by-step explanation:
Choices are 152
124
60
65
45
90
what is the gradient of the following shape
What is the measure?
Answer:
70-45
Step-by-step explanation:
becauae w= 70-45 and w+45=70
Please help me please help me thank you
Answer:
[tex]2\sqrt{30}[/tex]
Step-by-step explanation:
I dont feel like explaining
We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?
Answer:
Sine
Step-by-step explanation:
Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.
SOH represents Sine, Opposite, Hypotenuse.
Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse
So, sine will be used.
Two angles are congruent if
Answer:
they are exactly the same
Step-by-step explanation: congruent means that they are equal, so if the angles are the same they are congruent
40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?
Answer:
480
Step-by-step explanation:
Answer:
486 people can ride the roller coaster in 3 hours
Step-by-step explanation:
40÷15 = 2.7
2.7 × (60×3)
2.7×180= 486