Given:
The recipe calls for [tex]\dfrac{2}{3}[/tex] cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
[tex]\dfrac{2}{3}[/tex] cup of strawberries for = 1 gallon of lemonade
[tex]1[/tex] cup of strawberries for = [tex]\dfrac{1}{\frac{2}{3}}[/tex] gallons of lemonade
= [tex]1\times \dfrac{3}{2}[/tex] gallons of lemonade
= [tex]\dfrac{3}{2}[/tex] gallons of lemonade
[tex]6[/tex] cup of strawberries for = [tex]6\times \dfrac{3}{2}[/tex] gallons of lemonade
= [tex]\dfrac{18}{2}[/tex] gallons of lemonade
= [tex]9[/tex] gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.
For the polynomial state a common factor of all monomials and factor it out. 3/2*x^2yz-9/8*xyz+15/4*xy
Answer:
3/2x²yz – 9/8xyz + 15/4xy = 3/2xy[xz – 3/4z + 5/2)
Step-by-step explanation:
Given 3/2x²yz – 9/8xyz + 15/4xy. Let's look for a common factor.
3/2x²yz = 3/2 * x * y * z
9/8xyz = 3/2 * 3/4 * x * y * z
15/4 = 3/2 * 5/2 * x * y
Looking at the above; 3/2, x and y are common to all terms. Therefore the factor is:
3/2xy. Now let's factor it from each term
3/2x²yz = 3/2xy(xz)
9/8xyz = 3/2xy(3/4z)
15/4xy = 3/2xy(5/2), therefore we have:
3/2x²yz – 9/8xyz + 15/4xy = 3/2xy[xz – 3/4z + 5/2).
In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1:6. How many teaspoons of oregano do you need for eight cans of tomatoes?
Answer:
48 teaspoons of Oregano
Step-by-step explanation:
Ratio is given as:
Cans of tomatoes : Teaspoons of Oregano
1 : 6
Hence:
1 can of tomatoes = 6 teaspoons of Oregano
8 can of tomatoes = x teaspoons
Cross Multiply
x = 8 × 6 teaspoons
x = 48 teaspoons of Oregano
146 is 2% of what number? If necessary, round your answer to the nearest hundredth.
0.01
Yes
Answer: 7,300
Step-by-step explanation:
146 = 2%
73 = 1%
7,300 =100%
what happens to the kinetic energy of the particles in a substance when it is heated
Answer:
Step-by-step explanation:
The kinetic theory of matter can be used to explain how solids, liquids and gases are interchangeable as a result of increase or decrease in heat energy. When an object is heated the motion of the particles increases as the particles become more energetic
smart people pleaseeeee help
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ
A person pushes a car with a force of 25 N. The car accelerates to a rate of 5 m/s^2. What is the mass of this car?
(pls help asap)
what is 2x+5x^2-3x-10 + x+1x+2?
SHOW ALL STEPS
Answer:
x - 8 + 5x^2
Step-by-step explanation:
Group like terms
2x - 3x + x + 1x -10 + 2 + 5x^2
-x +2x -8 +5x^2
x - 8 + 5x^2
Find the value of x. help please!
It is the biggest cell in the female human body
a. Ovary
b. Cervix
is also called the hinth canal
c. Egg cell
Answer:
c
Step-by-step explanation:
can i hsve brainliest
Answer:
C. Egg cell
Step-by-step explanation:
It is the biggest cell in the female human body is egg cell
introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
The solution to this question can be defined as follows:
Step-by-step explanation:
In choice a:
Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.
In choice b:
These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg
can someone help me with this I need help
Please help me ASAP
Answer:
12
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
4*4*4=64
PLEASE HURRY ITS TIMED 20 POINTS!!!What is the y-coordinate of the point shown in the graph?
Answer:
-7
Step-by-step explanation:
the vertical line is the y
Meg is a veterinarian. She found that 20% of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 2 or 25% of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
(help?)
Look in photo for the question
Terry pays £480 per month in rent.
His landlord decides to increase the rent by 7.5%.
How much rent does he pay now?
Answer: £516
Step-by-step explanation:
7.5 increase = 100 + 7.5 = 107.5
107.5/100 = 1.075 (multiplier)
480 x 1.075 = 516
Find the slope: (1, -2) (7, -3)
Answer:
slope or m= -1/6
Step-by-step explanation:
A train covers 165 km in 1.5 hours. Do these quantities (distance and rime) vary directly or inversely?
Answer:
directly
Step-by-step explanation:
directly because it is a straight line
Simplify:
3 [26 + (4 – 2) - (6 - 2)2]
Answer:
the answer is 60
Step-by-step explanation:
hoped I helped:)
Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 people from the town’s 40,000 residents by asking his question to every person leaving the public library on a Saturday. Which suggestion would most improve Lamont’s random sample?
For those of you who are good at proofs, please help, I am offering 20 points.
Answer:
statement: segment HA is parallel to seg HD and seg HD is parallel to seg AN.
Reason: given
statement: angle 1 is congurent to angle 3.
reason: alternate interior angles are congruent.
statement: angles 2 and 4 are congruent
reason: alternate interior angles are congruent.
statement: Seg DA is congruent to seg DA
reason: reflexive property
statement: angle AHD is congruent to angle AND
reason: since angles 1 and 3 are congruent, and 2 and 4 are congruent, and HDA is a triangle, same with AND, the last angle must be congruent.
statement: seg HD is congruent to seg NA and HA is cong to ND.
reason: ASA angle side angle theorem states that if 2 angles and a side is congruent to the corresponding parts of another triangle, then it is congruent.
Step-by-step explanation:
simplify -3/5-(-1/10)
Answer:
-1/2
Step-by-step explanation:
Change the signs
-3/5 + 1/10
-6+1/10
-5/10
Reduce
-1/2
Answer:
-1/2
Step-by-step explanation:
Change the signs
-3/5 + 1/10
-6+1/10
-5/10
Reduce
-1/2
Select ALL of the values that are solution to the inequality below.
[tex] \frac{7x + 6}{2} \leqslant 3x + 2[/tex]
a. x=-3
b. x=-2
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3
Answer:
[tex] \frac{7x + 6}{2} \leqslant {3x + 2}\\[/tex]
a. x=-3✓
b. x=-2✓
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3
Step-by-step explanation:
[tex] \frac{7x + 6}{2} \leqslant 3x + 2 \\ 7x + 6 \leqslant 2(3x + 2) \\ 7x + 6 \leqslant 6x + 4 \\7x - 6x \leqslant 4 - 6 \\ \boxed {x \leqslant - 2}[/tex]
All the values that are equal to or less than -2 are the solution of the given inequality i.e.,
x→{-∞,-2]
Simplify the following ( -3m⁴) ( 6m⁶)
A 3m¹⁰
B -18m²
C -18m²⁴
D -18m¹⁰
Answer:
option d
Step-by-step explanation:
(-3m⁴)(6m⁶)
-18m¹⁰
Helpppppppp pls is hard
Answer:
-5
Step-by-step explanation: the graph
PLEASE HELP!!!!!!!!!!!!
Look at the graph
what is the slope?
simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
5
Step-by-step explanation:
Rise over run
Rises 10, runs 2
10/2 =5/1= 5
Answer:
5
Step-by-step explanation:
for every 1 unit on x-axis graph moves 5 units up on y-axis
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Round 5.955 to the nearest tenth.
Answer:
6.
Step-by-step explanation:
To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.
Answer:
6.0
Step-by-step explanation:
help me please i need a good grade
Answer:
its 3 the answer is 3.
Step-by-step explanation:
because I did this before thank you ,its 3.
Answer:
Three fifths
Step-by-step explanation:
Since 10 was divided by 2 to get 5,
you just do the same to the top half of the fraction.
So when you divide 6 by 2, you get 3.
So it is equal to 3/5, or three fifths.
And 3/5 is equivalent to 6/10
please help asap, it's for homework
Answer:
The slope is 10/1 so +10
Step-by-step explanation:
Hope this helps !!!
Answer:
10.
Step-by-step explanation:
Picking out 2 convenient points, (3, 30) and (0, 0):
Slope = (30-0)/(3-0)
= 30/3
= 10.
If we multiply a positive and a negative number, is the result positive or
negative?
Answer:
Negative
Step-by-step explanation:
It's negative because my math teacher said so a few years ago. Sorry for the not so great explanation... I didn't pay attention that day.