Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
In a class, everyone studies French or German, but not both languages. One third of the girls and the same number of boys study German. Twice as many boys as girls study French. Which of the total number of boys and girls in my class
Answer:
32
Step-by-step explanation:
Let the number of girls in the class be 3. Then the number of girls who study German is , as is
the number of boys who study German. So the number of girls who study French is 2 and the
number of boys who study French is 2 × 2 = 4.
Therefore the total number of boys and girls in the class is + + 2 + 4 = 8 and hence is a
multiple of 8. Of the options, only 32 is divisible by 8.
2.) Find the volume of the prism. V=Bh*
1 point
4 cm
B= 176 cm?
A. 704 cubic cm
B. 180 cubic cm
O D. 408 cubic cm
Please find the answer ASAP! Thanks!
Answer:
704cm³
Step-by-step explanation:
v=bh
v=176*4
v=704
couldn't write it out so i took a pic of it
Answer:
4th is the answer
Step-by-step explanation:
Answer:
the measure of <ABD = 1/2 the measure of <ABC is the answer :)
Step-by-step explanation:
The number 40 is 5 percent of what number?
A) 80 B) 8 C) 200 D) 2 E) 800
Answer:
800
Step-by-step explanation:
Is means equals and of means multiply
40 = 5% *N
Change to decimal form
40 = .05N
Divide each side by .05
40/.05 =.05N/.05
800 = N
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?
A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.
A sign in a store says 3 pens for $2.70. How much would 10 pens cost?
What is the unit price of 10 pounds of potatoes that cost $2.80?
Answer:
1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.
2) The machine makes 1.8 copies per second.
3) 10 pens cost $9.00
4) $0.28
Step-by-step explanation:
1)
[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]
[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]
2)
[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]
3)
[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]
4)
2.8/10 = 0.28
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
Can someone please help me with math.
Answer:
A. B.
Step-by-step explanation:
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel
Answer:
no,because <1 and <5 are not congruent
Step-by-step explanation:
i did the test yw
Express 9.08 as a fraction in its simplest form
Answer:
[tex]9\frac{2}{25}[/tex]
Step-by-step explanation:
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?
Answer:
2
Step-by-step explanation:
Count the spins
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
Simplify the expression. Write your answer as a power.
(-4).(-4)
The simplified expression is
Answer:
(-4).(-4) = 4^2
Step-by-step explanation:
First, some rules that we need to remember:
if A is a positive number, then:
-A = (-1)*A
Also:
A*A = A^2
We also should remember that we can multiplicate in any order we want, this is:
A*B*C = (A*B)*C = A*(B*C)
And we also can change the order of the numbers:
A*B = B*A
And finally, we need to remember the sign rules for multiplication.
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
Ok, now let's look at our expression.
(-4)*(-4)
First, we can rewrite this as:
( (-1)*4)*((-1)*4)
And we can rearrange the numbers to:
(-1)*(-1)*4*4
Now let's multiplicate the first two ones, because of the sign rule, we know that the outcome will be positive, and 1 times 1 is equal to 1,
(-1)*(-1) = 1
Then:
(-1)*(-1)*4*4 = 1*4*4 = 4*4
And we know that when a number is multiplied by itself we can rewrite it as:
4*4 = 4^2
Then:
(-4).(-4) = 4^2
The simplified expression is 4^2
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Diragio Lawn Care cuts lawns every week. Each lawn uses 34 of a tank of gas when it is cut (on average). How much gas is used if 10 lawns are cut in one week? Choose two answers that represent the solution.
Answer:
7.5 tank oil will be used
Step-by-step explanation:
Amount of gas used to cut one lawn (on an average) = 3/4 of a tak
Given ,
In a week , ten such lawns are cut
Hence, Total amount of gas used
= 3/4* 10
= 7.5 tank
The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?
Answer:
x^87
Step-by-step explanation:
Multiplying x^22 and x^7 results in x^29.
Then we have:
(x^29)^3 = x^87
Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
Help! I don't get it!
Solve for x.round to the nearest tenth. 70,6
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
dos hermanos tienen una cuenta de ahorros de s/1920 lo que le corresponde al hermano mayor es 6 veces mas de lo que le corressponde al hermano menor mas un adicion de s/72 ¿ cuanto le corresponde alk hermano mayor
Answer:
le corresponde s/1656
Step-by-step explanation:
espero y te ayude
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
Find the area of this hexagon
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
The circumference of a circular field is 191.54 yards. What is the radius of the field? Use 3.14 for Pi and do not round your answer.
Answer:
C = 2πr
191.64 = 2 × 3.14 × r
r = 191.64/6.28
r = 30.51 yds
A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,4), and (5,-2). What is the area, in square units, of the quadrilateral?
Answer:
4 square units
Step-by-step explanation:
the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.
What is
as a percent?
20%
35%
6%
60%
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
What is the value of log4 2?
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
Learn more about Logarithm here:
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