Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
#SPJ1
I’m confuse I need help
Answer:
f(-5) = -5/4
Step-by-step explanation:
Answer:
Answer is -1/20
Step-by-step explanation:
Hope this helps.
Whats the radius of this?
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterWhich equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ7
Please answer the attachment below and say which number goes in the first or second, etc.
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
Help me please!! Anyone
Answer:
180-88
92
Step-by-step explanation:
x=92
Answer:
I think its 92
Step-by-step explanation:
Supplementary angles always add up to 180
−2⋅f(−6)−7⋅g(−7) = ?
Answer: +12f +49g
-2f(-6)-7g(-7)
No if your looking for the graph answer on Khan academy then it's 11
Find the lateral surface area of the rectangular prism in centimeters.
A)
196 cm2
B)
218 cm2
C)
232 cm2
D)
240 cm2
The lateral surface area of the rectangular prism is: D. 240 cm²
What is the Lateral Surface Area of a Rectangular Prism?The lateral surface area of rectangular prism = 2(l + w)h.
Given the following:
Length (l) = 9 cmWidth (w) = 6 cmHeight (h) = 8 cmPlug in the values into the formula
Lateral surface area of the rectangular prism = 2(9 + 6)8
Lateral surface area of the rectangular prism = 240 cm²
Learn more about lateral surface area of rectangular prism on:
https://brainly.com/question/22671681
Question 4(Multiple Choice Worth 1 points)
(06.04 MC)
A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:
(x − 4)(3x − 1)
Which of the following simplified expressions represents the area of the floor of the conference room in square meters?
x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4
Answer:
[tex]3x^2-13x+4[/tex]
Step-by-step explanation:
[tex](x - 4)(3x - 1)[/tex]
[tex]3x^2-1x-12x+4[/tex]
[tex]3x^2-13x+4[/tex]
Which is greater 8/25 or 0.32
[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.
This means that these two are equal. hope this helps!
8/25 is equal to 0.32
let me know if u need explanation
Do masks increase or decrease the sales of breath mints?
A families weekly shopping bill increases from £120 to £150, what is the percentage increase? PLEASE HELP
Answer:
20%
Step-by-step explanation:
Divided the two which is 80% so the increase is 20% I'm not good at explaining
Answer:
150-120=30
30/120=0.25
0.25=25%
25% is correct
120 x 0.25 = 30
120+ 30 = 150 so 25% is correct
Step-by-step explanation:
.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
v=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Step-by-step explanation:
An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?
Answer:
10%
Step-by-step explanation:
35 ÷ 100 = 0.35
38.5 - 35 = 3.5
3.5 ÷ 0.35 = 10%
solve for k. 2.5(4k+2) =12k
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
what is the absolute value of l 10 - 11 l =
Answer:
1
Step-by-step explanation:
l 10 - 11 l = |-1|= 1
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]\left|10-11\right|[/tex]
[tex]\left|-1\right|[/tex]
[tex]=1[/tex]
Pls Help!!!
Just an example of how to do it pls!
10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8
Answer:
1/4
Step-by-step explanation:
Each term is a fourth of the term before.
So, each term is the previous term multiplied by 1/4
Answer:
1/4
Step-by-step explanation:
Evaluate the following expression.
(5x)"
1
Answer:
1
Step-by-step explanation:
Anything to the power of zero is one
Please help me asap ty
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
Which number is rational?
Answer:
D
Step-by-step explanation:
0.333... is rational because it can be lined up to the fraction 1/3.
Answer:
D.
Step-by-step explanation:
The definition of a rational number is a number that can be expressed as the ratio of two integers.
We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.
We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.
I hope this helps!
Pls do 4,5 for 7 points.
Answers:
6-5please see the attached picture for full solution
hope it helps
Good luck on your assignment...
Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?
Answer:
How many pets do my teachers have?
How many points did the high school soccer team score in its last few games?
Which of our school books has the most pages?
How many handstands can I do in 10 mins?
Step-by-step explanation:
To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.
The Statistical question are:
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?What is Statistical Question?A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.
A statistical question is one that can be answered by gathering varying amounts of data.
Make the question so that you can collect more than one piece of data to convert it into a statistical query.
So, the Conversion into statistical question are
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?Learn more about Statistical Question here:
https://brainly.com/question/23257294
#SPJ3
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
Find the slope of a linear function passes through the points (3,2) and (-4,1)
Answer:
1/7
Step-by-step explanation:
We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem
k = 2-1/3-(-4) = 1/7
someone plz help i need it in like 3 minutes
Answer:
B
Step-by-step explanation:
A: -(3/-2)=-(-3/2)=3/2
B:3/-2=-3/2
C:-(-3/2)=3/2
D:-3/-2=3/2
What is this angle ?
A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.
Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)
Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)
Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.
This may be a little confusing, so don't be afraid to ask for clarification, but great luck!
What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?
Answer:
[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]
[tex]\pi =3.14[/tex]
[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]
[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]
Step-by-step explanation:
1. Volume of sphere
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
2. Volume of hemisphere
[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]
The volume of hemisphere is 1,41,130.7 cubic inch.
What is hemisphere?The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
Given the radius of hemisphere = 40.7 inches
to find the volume,
volume of hemisphere = 2/3πr³
volume of hemisphere = 2/3(3.14)(40.7)³
volume of hemisphere = 2/3(3.14)(67419.143)
volume of hemisphere = 1,41,130.7 cubic inch.
Hence the volume is 1,41,130.7 cubic inch.
Learn more about hemisphere;
https://brainly.com/question/13625065
#SPJ5
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
https://brainly.com/question/22247684
#SPJ2
