Answer: a= 187.5 m squared
Step-by-step explanation: a=ab/2
Answer:
187.5
Step-by-step explanation:
times 25 and 15 = 375
375 divided by 2 = 187.5
g(x) = 4x+5; find g(5)
Hello!
[tex]\large\boxed{g(5) = 25}[/tex]
If g(x) = 4x + 5, find g(5) by substituting 5 for x:
g(5) = 4(5) + 5
Simplify:
g(5) = 20 + 5
g(5) = 25
is a aquarium gallon quart pint or cup
Three is 7 more than one-fifth of a number.
Answer:
3=1/5x+7
Step-by-step explanation:
when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer
I need help ASAP please I’m giving brainliest pleaseee!
asking again algebra 1 please help will give brainliest
Answer:
I-
Step-by-step explanation:
Which expression is equivalent to
5x + 2(3x - 4) + 10
!! please explain !!
Answer:
11x+2
Step-by-step explanation:
Answer:
11x=+2
Step-by-step explanation:
5x+2(3x-4)+10
5x+(2*3x-2*4)+10
5x+(6x-8)+10
5x+6x-8+10
=11x=2
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution. She wants to mix the two solutions to get 100 ml of a 4% acid solution. Follow the steps below to find how much of each solution she should use.
Part 2 out of 3
Use the information in the table to write a system of equations.
Answer:
12% alkaline
Step-by-step explanation:
The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Given to us
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.
She wants to mix the two solutions to get 100 ml of a 4% acid solution.
Assumption
Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.
Total Amount of the Final SolutionAs the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,
amount of 1% acid solution + amount of 5% acid solution = 100ml
x + y = 100.....equation 1
Solving for y,
y = 100 - x
What is the % of the acid in the mixture?We know that the mixture is having a 4% concentration and is 100 ml in volume.
[tex](1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\[/tex]
Substitute the value of y,
[tex]0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml[/tex]
Substitute the value of x in equation y,
[tex]x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml[/tex]
Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Learn more about the System of equations:
https://brainly.com/question/12895249
Annika has a sock filled with 3 red and 5 green marbles,
What is the probability of her choosing two red marbles in a row with replacement? Express your answer as a fraction in lowest terms.
Answer:
The probability is ⁹/₆₄
Step-by-step explanation:
Given;
number of red marbles, R = 3
number of green marbles, G = 5
Total number of marbles, T = 8
The probability of choosing two red marbles in a row with replacement;
[tex]P(2 R) = P(R_1 \ n \ R_2)\\\\P(2 R) = \frac{3}{8} \ \times \ \frac{3}{8} \\\\P(2 R) = \frac{9}{64}[/tex]
Therefore, the probability of choosing two red marbles in a row with replacement is ⁹/₆₄
Add 34+(−212) using the number line. Select the location on the number line to plot the sum.
Answer:
Answer is explained below in the explanation section.
Step-by-step explanation:
Solution:
For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.
Number Line:
A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.
So,
We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.
SO,
34 + (-212) = 34 - 212 = -178
Hence,
Our sum which is 178 will lie on the left hand side of the number line.
PLS HELP ASAPPP I WILL GIVE BRAINLIEST
Answer:
Yes, it is.
Step-by-step explanation:
Answer:
Yes sir
Step-by-step explanation:
A recipe for ten flapjacks needs 20g butter, 30g
sugar and 50g rolled oats. How many flapjacks can
I make if I have 140g butter, 150g sugar and 200g
rolled oats?
Answer:
49
Step-by-step explanation:
For 10 flapjacks we need a total of 100g of ingredients
therefore, we need to get how many gram for 1 flapjacks
that is, for butter 20÷10=2
for sugar 30÷10=3
for rolled oats 50÷10=5
that's a total of 10.
this means it takes 10g of ingredients to make 1 flapjacks
then 140+150+200=490
490÷10=49
The final answer is 49 flapjacks can be made from the above ingredients
2/9 in decimal and percent form?
Answer:
2.9% = 0.029 in decimal form. Percent means 'per 100'. So, 2.9% means 2.9 per 100 or simply 2.9/100. If you divide 2.9 by 100, you'll get 0.029
Step-by-step explanation:
Answer:
0.222222 repeating in decimal
22.22%
Step-by-step explanation:
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
Is it linear or exponential
Please answer this correctly without making mistakes
Answer:
I am not quite sure but I say 2 quarts and 15 pints.
A pole that is 3.3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby building casts a shadow that is 47.5 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
[tex]112\:\mathrm{m}[/tex]
Step-by-step explanation:
If you were to draw a diagram, you could form two similar triangles using the pole and the building (unsolvable otherwise). Since these triangles are similar, we can write the following proportion:
[tex]\frac{3.3}{1.4}=\frac{h}{47.5}[/tex], where [tex]h[/tex] is the height of the building.
Solving, we get:
[tex]h=\frac{47.5\cdot 3.3}{1.4},\\h\approx \fbox{$112\:\mathrm{m}$}[/tex] (rounded to the nearest meter as requested in the problem).
I've drawn the figure below for reference:
Find the value of x triangles help pls :((((
x=-1 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Consider the function f(x) = (x + 2)2 + 1. Which of the following functions shifts the graph of f(x) to the right three units?
g(x) = (x + 5)2 + 1
g(x) = (x + 2)2 + 3
g(x) = (x – 1)2 + 1
g(x) = (x + 2)2 – 2
Answer:
g(x) = (x – 1)2 + 1
Step-by-step explanation:
Answer:
g(x) = (x – 1)2 + 1
Step-by-step explanation:
PLEASE HELP ME FAST!!
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 10% of 120?
Answer:
10% of 120 is 12
Step-by-step explanation:
your answer is 12
Answer:
12
Step-by-step explanation:
10% of 120 = 10% x 120
= 0.1 x 120
= 12
Please mark me Brainliestt :)
If your percent of discount is 25% and your sales price is $40, what is your original price? Please show me how you got your answer.
Answer:
$50
Step-by-step explanation:
40x1.25=50
price with discount X Discount price to undo it= Original price
Find the product. Write the product in SIMPLEST form. 4/5 x 7
A tank has 82 3/4 litres of water, 24 4/5 litres were used, and the tank was filled with another 18 3/4 litres. What is the final volume of the water in the tank?
Answer:
76 14/20
(76 7/10) simplified
Step-by-step explanation:
First we make the denominator of the fraction equal
82 15/20
24 16/20
18 15/20
We then subtract
82 15/20 - 24 16/20
81 35/20 - 24 16/20 =
57 19/20
Then we add
57 19/20 + 18 15/20=
76 14/20
(76 7/10) simplified
Given the exponential equation 3* = 243, what is the logarithmic form of the equation in base 10? (5 points)
log, 243
log, 3
log, 3
log, 243
log,03
log, 243
log, 243
Answer:
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Step-by-step explanation:
Given
[tex]3^x = 243[/tex]
Required
Express as a logarithm
[tex]3^x = 243[/tex]
Take log of both sides
[tex]log\ 3^x = log\ 243[/tex]
Apply the following law of logarithm
[tex]log\ a^b = b\ log\ a[/tex]
So, the expression becomes:
[tex]log\ 3^x = log\ 243[/tex]
[tex]x\ log\ 3 = log\ 243[/tex]
Divide both sides by log 3
[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Hence, the expression in base 10 is:
[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]
BD is the angle bisector of ZABC.
If m ABD=25° find m/DBC.
A:50°
B:25°
C:750
D:100°
Answer:
B:25°
Step-by-step explanation:
Now [tex]\angle ABC[/tex] gets bisected by [tex]BD[/tex].
[tex]\angle ABD=25^{\circ}[/tex]
Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.
We know that one of the angles is [tex]25^{\circ}[/tex] so the other angle has to be [tex]25^{\circ}[/tex] also.
Hence, the [tex]m\angle DBC=25^{\circ}[/tex].
Which multiplication equation is related to the division equation one ninth ÷ 5 = ___?
five times one twenty fifth equals one ninth
one forty fifth times five equals one ninth
one forty fifth times one fifth equals one ninth
five times one fifteenth equals one ninth
Answer:
one forty fifth times five equals one ninth
Step-by-step explanation:
In division, the number being divided is the dividend or numerator, the denominator is the number we use to do the division while the result is the quotient and there may be a reminder.
For example, if
a/b = c
then
a = b * c
hence
1/9 ÷ 5
= 1/9 * 1/5
= 1/45
This means that
1/45 * 5 = 1/9
Hence the related multiplication equation related to the division equation one ninth ÷ 5 is one forty fifth times five equals one ninth
Division expression are the expression in which one number is divided by other. Multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.
Given-The given division equation is the fraction 1/9 divided by the number 5. That is,
[tex]\dfrac{\dfrac{1}{9} }{5} =\dfrac{1}{45} [/tex]
Division expressionDivision expression are the expression in which one number is divided by other
1) Five times one twenty fifth equals one ninth-This can be written as,
[tex]5\times \dfrac{1}{25} =\dfrac{5}{25} [/tex]
[tex]5\times \dfrac{1}{25} =\dfrac{1}{5} [/tex]
Which is not equal to the the given division expression.
2) One forty fifth times five equals one ninth-This can be written as,
[tex]\dfrac{1}{45}\times5 =\dfrac{1}{9} [/tex]
This is equal to the the given division expression.
3) One forty fifth times one fifth equals one ninth-This can be written as,
[tex] \dfrac{1}{45}\times\dfrac{1}{5} =\dfrac{1}{225} [/tex]
Which is not equal to the the given division expression.
4) Five times one fifteenth equals one ninth-This can be written as,
[tex]5\times \dfrac{1}{15} =\dfrac{1}{3} [/tex]
Which is not equal to the the given division expression.
Hence multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.
Learn more about the division expression here;
https://brainly.com/question/13015660
Select the correct answer!! PLEASE HELP!!
Answer:
A
2√2 * 7√18
=84
.................
determine the ratio a:c if a:b=1:2 and b:c=3:4
Step-by-step explanation:
(a/b*b/c=1/2*3/4)(a/c=3/8)
A. The slope of the line will change from positive to negative
B. The slope of the line will change from negative to positive
C. The y-intercept of the line will change from positive to negative
D. The y-intercept of the line will change from negative to positive
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
someone pls help!!!!!!!!!!!!
area of a circle, diameter = 16.8cm
Answer:
Step-by-step explanation:
Area of circle=Pi times radius^2
Diameter is half of radius=8.4
Pi*8.4^2=221.670777637
Hope this helps!
Answer:
221.56 cm^2 or 70.56pi
Step-by-step explanation:
Area of a circle = pi*radius^2
Radius = diameter/2, radius = 8.4
3.14(8.4)^2 = 221.56 cm squared, or 70.56pi