Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
Three co-workers recorded the amount of water in a fish tank being replaced at regular intervals.
maggie measured 1/2 gallon of water in 2/3 of an hour.
christine measured 3/4 gallon of water in 6/5 of an hour.
gianna measured 2/3 gallons of water in 4/5 of an hour.
What two statements are true?
A. Giannas fish tank replaced the most water per hour.
B. Christies fish tank replaced the most water per hour.
C. Christies fish tank replaced the least water per hour.
D. All three fish tank replaced more than one gallon of water per hour.
E. Two of the fish tanks almost replaced the same amount of water per hour.
Answer:
A. Giannas fish tank replaced the most water per hour.
C. Christies fish tank replaced the least water per hour.
Step-by-step explanation:
Let define the replacement rate ([tex]r[/tex]), measured in gallons per hour, by the ratio of capacity ([tex]c[/tex]), measured in gallons, to replacing time ([tex]t[/tex]), measured in hours. That is:
[tex]r = \frac{c}{t}[/tex] (1)
The co-worker with the highest rate replaces the most water in a hour. Let see the rate of each co-worker:
Maggie ([tex]c = \frac{1}{2}\,gal[/tex], [tex]t = \frac{2}{3}\,h[/tex])
[tex]r = \frac{\frac{1}{2}\,gal }{\frac{2}{3}\,h }[/tex]
[tex]r = \frac{3}{4}\,\frac{gal}{h}[/tex]
[tex]r = 0.75\,\frac{gal}{h}[/tex]
Christine ([tex]c = \frac{3}{4}\,gal[/tex], [tex]t = \frac{6}{5}\,h[/tex])
[tex]r = \frac{\frac{3}{4}\,gal }{\frac{6}{5}\,h }[/tex]
[tex]r = \frac{15}{24}\,\frac{gal}{h}[/tex]
[tex]r = \frac{5}{8}\,\frac{gal}{h}[/tex]
[tex]r = 0.625\,\frac{gal}{h}[/tex]
Gianna ([tex]c = \frac{2}{3}\,gal[/tex], [tex]t = \frac{4}{5}\,h[/tex])
[tex]r = \frac{\frac{2}{3}\,gal }{\frac{4}{5}\,h }[/tex]
[tex]r = \frac{10}{12}\,\frac{gal}{h}[/tex]
[tex]r = \frac{5}{6}\,\frac{gal}{h}[/tex]
[tex]r = 0.833\,\frac{gal}{h}[/tex]
From these informations, we conclude that Gianna's fish tank replaced the most water per hour and Christine replaced the least water per hour. All three fish tanks replace less than one gallon of water per hour. Therefore, correct answers are A and C.
como puedo simplificar 1 + y + (-5) ?
Answer:
1 + y + ( - 5 ) = y - 4 eso es mi respuesta
Step-by-step explanation:
calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)
Answer:
The unit rate of change is of [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
We are given a set of points (x,y).
To find the unit rate of change, we take two points, and divide the change in y by the change in x.
Points (4,9) and (8,12)
Change in y: 12 - 9 = 3
Change in x: 8 - 4 = 4
Unit rate of change: [tex]\frac{3}{4}[/tex]
Karen's aunt is buying peaches to make peach cobbler. She needs 6 peaches for each cobbler.
Write an expression to describe the total number of peaches used given the number of cobblers made, c. Use the expression to determine how many peaches were used if Karen's aunt makes 12 cobblers.
A.
6
c
; 72 peaches
B.
6
+
c
; 18 peaches
C.
6
c
;
1
2
peach
D.
c
6
; 2 peaches
Answer:
A. 72
Step-by-step explanation:
If she is making 12 cobblers and needs 6 peaches per one.
She needs 72 (6 times 12= 72) or ( 6c = 72)
Answer:
A
Step-by-step explanation:
All you do in this one is multiply 6 by c, which is 12 in this case.
6c = ? c = 12 6*12 = 72
The answer is 72 peaches. A.
Someone help with question 5 please!
Answer:
c
Step-by-step explanation:
If p varies inversely as Q2 and p = 4 when Q =0.5, find p when Q = 1.5
Answer:
a) k = 8
b) p = 12
Step-by-step explanation:
Step(i):-
Given that p varies inversely as Q
p∝ Q
p = k Q
Given that p = 4 and Q = 0.5
4 = k (0.5)
k = [tex]\frac{4}{0.5} = 8[/tex]
Step(ii):-
Given that Q = 1.5
p = k Q
p = 8 (1.5)
p = 12
Which gives 28 + 24 as a product of the GCF and a sum?
a. 2 (14 + 12)
b. 4 (7 + 6)
c. 2 (26 + 22)
d. 40 + 12
Answer:
b. 4 (7 + 6)
Step-by-step explanation:
Finding the GCF between 28 and 24:
We keep dividing while both numbers can be divided by the same factor. So
28 - 24|2
14 - 12|2
7 - 6
There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.
Simplifying in function of the GCF:
Now, we put 4 in evidence, and divide the rest of the expression by 4. So
[tex]28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)[/tex]
The answer is given by option b.
Surface area is three-dimensional.
True
False
Answer:
true
To calculate surface area, we add the areas of all the faces of the three-dimensional figure.
True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.
Answer:
False
Step-by-step explanation:
A right triangle has all side lengths the same
Answer: give me brainliest now
Step-by-step explanation:
You move left 4 units and right 3 units. You end at (-2, -1). Where did you start?
Answer:
-2 y
Step-by-step explanation:
Carlos got 130 pieces of candy on Halloween and 39 of them were lollipops what percent of the pieces of candy were lollipops
What is the slope of Y= x +5
Explanation: m is the slope and b is the y intercept.
Answer: Therefore, for the equation y = x+5 the slope is 1, and the y intercept is 5.
Brooklin has been practicing her typing, her original speed is 63 words in 3 minutes. Find her unit rate in words per minute?
Answer:
21 words per minute
Step-by-step explanation:
Find her unit rate by dividing the number of words by the number of minutes:
63/3
= 21
So, her unit rate is 21 words per minute
Answer:
21 words per minutes
Step-by-step explanation:
The first answer should be correct, unless there is something I'm not understanding.
5/= 1.5 x 25
What is 1.5 × 25
A. 22.5
B. 37.5
c. 52.5
D. 85.5
Answer:
37.5 is the answer
Step-by-step explanation:
all you do is just multiply the 2 numbers
Solve the equation for x. Express the solution as a logarithm in base-e.
In a survey of 250 people, 175 people said they prefer donuts to ice cream. What percent of the people prefer ice cream?
Answer:30% prefer ice cream
Step-by-step explanation:
250-175=75
75/250 x 100(make it percent)
30%
A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met
Answer:
Yes the sample can be use to make inference
Step-by-step explanation:
The inference is possible if the conditions:
p*n > 10 and q*n > 10
where p and q are the proportion probability of success and q = 1 - p
n is sample size
Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6
And p*n = 0,4 * 30 = 12 12 > 10
And q*n = 0,6 * 30 = 18 18 > 10
Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met
To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.
No, the sample size is not less than 10% of the population size,
Given:
The total number of council member are 200.
The randomly selected members are 30 .
Calculate the ratio of randomly selected members and total number of council member.
[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]
Thus, No, the sample size is not less than 10% of the population size.
Learn more about z-interval here:
https://brainly.com/question/7204089
1. A dice game costs $2 to play. If an odd number is rolled, the player receives $3. If an even number
is rolled, the player receives $1.
Determine whether the game is fair.
Answer:
no
Step-by-step explanation:
trust me not fair
PLEASE HELP!!! I"M WRITING AN EXAM!! STEP BY STEP PLEASSE!
what is the inverse of f (x) = −(x+1)^2+4
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=4−(x+1)2 becomes x=4−(y+1)2.
Now, solve the equation x=4−(y+1)2 for y.
y=[tex]\sqrt{4-x}[/tex] - 1
ANSWER
y=[tex]\sqrt{4-x} -1[/tex]
the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are called
Answer:
numbers thank you whole numbers
Step-by-step explanation:
I have to determine whether the sides of the triangle form a pythagorean triple.
Answer:
Step-by-step explanation:
How do you know if side lengths form a Pythagorean triple?
Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.
You can buy a box of 150 sharpies for $165 or a dozen for $13.50? Which of the two prices is a better deal and explain why
Answer:
do the a dozen for $13.50
Step-by-step explanation:
It will help save money
Answer:
The dozen for $13.50 is a way better deal
4^3/2-2^3*6+8(-1)^10
Answer:
-24
Step-by-step explanation:
Which expressions are equal to..
12³...........is correct one.....☑️✔️☑️
Help I will give Brainily to the one that give me the explanation and answer
Answer:
Step-by-step explanation:
It is a vertical parabola. The equation of a vertical parabola can be written in the form y = a(x-h)² + k, where a>0 and (h,k) is the vertex.
You can eliminate G and I because the leading coefficient is negative.
The graph isn't marked with units, but both F and H say that the vertex is at (0,-2), so you know that each square on the graph is one unit.
Now look for another clue.
The x-intercepts are at (-1,0) and (1,0). Plug one of the points into F and H.
F: 0 = 2·1² - 2
H: 0 ≠ 1² - 2
So, F represents the graph.
I NEED SOME HELP TO GET MY GRADE UP PLZ!
Answer:
Step-by-step explanation:
I think the answer is none of the above
Which transformation maps the large triangle onto the
small triangle?
Answer:
Dilation transformation
Step-by-step explanation:
Dilation transformation maps the large triangle onto the small triangle.
Magda works at a charity for homeless people.
She needs to make lunch for 15 people.
Magda knows this rule to find the amount of rice she needs to cook.
Magda thinks she needs to cook 10 cups of rice for 15 people.
Is Magda correct?
Answer:
yes
Step-by-step explanation:
if their is no explaining the best choice would be yes
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
Mary is cutting strips of paper for a craft project. Each strip is 1/6 of a sheet of paper. Mary has 2/3 of a sheet of paper left to cut. She wants to determine how many more strips of paper she can cut from what is left.
Mary can cut ___ more strips than paper
Answer:
4 more strips
Step-by-step explanation:
Given that:
Length per strip = 1/6
Fraction of paper left = 2/3
Number of strips that can be cut from the Fraction left ;
Fraction left ÷ length per strip
2/3 ÷ 1/6
2/3 * 6/ 1
(2 * 6) / (3 * 1)
12 / 3
= 4