Answer:
Quick Stop -
3 apples = $1.29
1 apple = $0.43
Shop -
5 apples = 2.45
1 apple = 0.49
So the quick stop is better!
What is an equation of the line that passes through the points (-2, 8) and (1,−1)? Put your answer in fully reduced form.
Answer:
The equation of a line that passes through the points (-2, 8) and (1,−1) in the fully reduced form will be:
[tex]y=-3x+2[/tex]Step-by-step explanation:
Given the points
(-2, 8) and (1, -1)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:8\right),\:\left(x_2,\:y_2\right)=\left(1,\:-1\right)[/tex]
[tex]m=\frac{-1-8}{1-\left(-2\right)}[/tex]
[tex]m=-3[/tex]
As the equation of a line in point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -3 and the point (-2, 8)
[tex]y-8=-3\left(x-\left(-2\right)\right)[/tex]
[tex]y-8=-3\left(x+2\right)[/tex]
[tex]y-8+8=-3\left(x+2\right)+8[/tex]
[tex]y=-3x+2[/tex]
Therefore, the equation of a line that passes through the points (-2, 8) and (1,−1) in the fully reduced form will be:
[tex]y=-3x+2[/tex]How to simplify 3/18 it’s a fraction and it’s really hard can someone go step by step how to do it I need it ASAP
Answer:1/6
Step-by-step explanation: divide both sides by 3 as 3 itself and 18 can be divided by 3
3x-15=17-x. Check your solution
Answer:
x=1
Step-by-step explanation:
3x-15=17-x
3x-x=17-15
2x=2
x=1
Answer:
x=8
Step-by-step explanation:
3x-15=17-x move variable to the left and change its sign
3x+x-15=17 collect like terms
4x=17 + 15 (3x=x=4x)
4x= 32 divide both sides by 4
x=8 (dividing 4x by 4 cancels the 4,s out and leaves x)
The ratio of two computers is 3:2.
1.If the first computer costs 55000/=,what is the price of the second computer?
2.If the price of 2nd computer is 2000/= more,what is the ratio of. the computers?
Answer:
1. $82,500
2. 169 : 110
Step-by-step explanation:
The computation is shown below:
Given that
1. Ratio between two computers is 3:2
And the first computer cost is $55,000
Let us assume the price of the second computer be x.
As we know that
Product of extremes = Product of mean.
2 : 3 :: 55000 : x .
Now cross mutiplication is to be done
2x = $55,000 × 3
x = $1,650,000 ÷ 2
= $82,500
2. Now if the price of the 2nd computer rised by $2,000
So the new cost would be
= $82,500 + $2,000
= $84,500
Now the ratio would be
= $55,000 : $84,500
= 169: 110
find the range of the balances for the 5 day period
Iman and Mark went out for lunch. Part B: After adding a tip, the total lunch cost was $27.19. What percent tip did Iman and Mark leave?
Answer:
17
Step-by-step explanation:
Jose sells beaded necklaces. Each large necklace sells for $5.60 and each small necklace sells for $4.70 How much will he earn from selling 5 large necklaces and 3 small necklaces?
Answer:
Large necklaces for 5 is $28.00 and small 3 necklaces is $14.10
Step-by-step explanation: $5. 60 times 5 equals to $28.00 and $4.70 times 3 equals $14.10
Answer:
The answer is $42.10
Step-by-step explanation:
All you have to do is multiply 5.6 by 5
and multiply 4.7 by 3
Then you add the products together to get your answer
How does the increase in confidence level affect the interval width and margin of error?
Answer:
1. Three things influence the margin of error in a confidence interval estimate of a population mean: sample size, variability in the population, and confidence level. For each of these quantities separately, explain briefly what happens to the margin of error as that quantity increases.
Answer: As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As the confidence level increases, the margin of error increases. Incidentally, population variability is not something we can usually control, but more meticulous collection of data can reduce the variability in our measurements. The third of these—the relationship between confidence level and margin of error seems contradictory to many students because they are confusing accuracy (confidence level) and precision (margin of error). If you want to be surer of hitting a target with a spotlight, then you make your spotlight bigger.
Answer:
the three things influence the margin of error in a confidence interval estimate of a population mean - sample size variability in the population and confident level as the variability in the population increases the margin of error increases. as the cofidence level increases, the margin of error increases.
Step-by-step explanation:
hope this helps :)
The Texas School Supply Company makes composition notebooks for students. The cost to manufacture 6 notebooks is $30. At this rate, what would it cost for the company to manufacture 50 notebooks?
Answer:
Step-by-step explanation:
If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.
What is the answer plz?
Answer:
A
Step-by-step explanation:
Answer:
Easy B
Step-by-step explanation: srry If It's Wrong
4. A parking lot contains 21 sedans. Sedans are found at a ratio of 7:5 to SUVs in the parking lot. How many
SUVs are likely to be found in the parking lot?
Answer:
they are both divisible by 3
7 x 3 = 21
5 x 3 = 15
Step-by-step explanation:
hope this helps lucas (mr. calvelo)
What is the constant in this equation? 9x + 8y = 7
PLEASE HELP ASAP!!!
Answer:
-9/8 times x
Step-by-step explanation:
9x+8y=7 also = y=-9/8x+7/8.
Answer: the constant is 7
Step-by-step explanation:
Find the angle represented by x (rounded to the nearest tenth of a degree).
A)32.6°
B)36.4°
C)37.8°
D)38.7°
Answer:
Option (D)
Step-by-step explanation:
By applying sine rule in the triangle shown,
Since, [tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
By this rule,
[tex]\text{sinx}=\frac{\text{5000}}{8000}[/tex]
x = [tex]\text{sin}^{-1}(\frac{5}{8})[/tex]
x = [tex]\text{sin}^{-1}(0.625)[/tex]
x = 38.682°
≈ 38.7°
Therefore, Option (D) is the correct option.
WHAT IS THE VALUE OF R IN THE EQUATION? -1.5(4-R)=12
A. NEGATIVE SIX B. NEGATIVE FOUR C.POSITIVE 4 D.POSITIVE SIX
Answer:
just plug in the a b c and d for r and wich ever one makes that equatio equal then it that on
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1.5(4-R)=12 divide both sides by -1.5
4-R=12/-1.5 calculate
4-R= -8 subtract 4 from both sides
-R=-8-4 calculate
-R=-12 multiply by -1
R=12
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
The required value of x is 12 units.
Step-by-step explanation: Given that the figure A is a scale image of figure B.
We are to find the value of x.
Since figure A is the scale image of figure B, so both the figures are similar to each other.
Also, the corresponding sides of the similar figures are proportional, so we get
Thus, the required value of x is 12 units.
Which statement is true about the graphs shown?
A)
Only graph A represents a proportional relationship.
B)
Only graph B represents a proportional relationship.
Graph A and graph B both represent a proportional relationship.
D)
Graph A and graph B both represent a non-proportional relationship
Answer:
the answer is A
Step-by-step explanation:
Find the formula for an exponential function that passes through the two points given.
(0,7) and (4,567)
Answer:
[tex]y = 7(3^x)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,7)[/tex]
[tex](x_2,y_2) = (4,567)[/tex]
Required
Determine the formula
An exponential function is of the form:
[tex]y = ab^x[/tex]
For point [tex](x_1,y_1) = (0,7)[/tex]
[tex]7 = ab^0[/tex]
[tex]7 = a*1[/tex]
[tex]7 = a[/tex]
[tex]a = 7[/tex]
For point [tex](x_2,y_2) = (4,567)[/tex]
[tex]567 = ab^4[/tex]
Substitute 7 for a
[tex]567 = 7*b^4[/tex]
Divide both sides by 7
[tex]81 = b^4[/tex]
Take 4th root of both sides
[tex]\sqrt[4]{81} =\sqrt[4]{b^4}[/tex]
[tex]\sqrt[4]{81} =b[/tex]
[tex]b = \sqrt[4]{81}[/tex]
[tex]b = 3[/tex]
Substitute 7 for a and 3 for b in [tex]y = ab^x[/tex]
[tex]y = 7 * 3^x[/tex]
[tex]y = 7(3^x)[/tex]
Part E
Christopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
Answer:
The civil war ended in 1865
Answer:
1865
Step-by-step explanation:
Kiran read for x minutes, and andre read for 5/8 minutes more than that. Write an equation that relates the number of minutes Kiran read with y: the number of minutes that Andre read. Use decimals in your equation. Use lower case letters.
Answer:
y=x+0.625
Step-by-step explanation:
Since, x represents the number of hour kiran read,
According to the question,
The number of hours Andre read = 5/8 more than the number of hour kiran read
= 5/8 more than x
= x + 5/8 of x
a) 10(a+7)
b) 7(x+3)
c) x(3+10)
d) 12(a-3)
e) -2(x+10)
f) -4(b-3)
i need answers asap
Answer:
10a+70
Step-by-step explanation:
7x+21
13x
12a-36
-22x
-4b-12
say
Put in Slope intercept form 2x + y =8
Answer:
Slope is 8 here
Y= mx +c
And c= 8
Y = - 2x + 8
Find k if y = 64 and x = 16
Answer:
Can you give a picture of what we are answering
Step-by-step explanation:
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed. Explain or show your reasoning.
um the table broke
time (seconds)
distance (meters)
speed (meters per second)
4
120
25
270
Answer:
Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.
Step-by-step explanation:
Answer:
ok this was a good one so here
Step-by-step explanation:
4 120 30
25 750 30
9 270 30
Peter wants to make cookies. To make cookies, he needs 2/3 of a cup of flour per batch of cookies. If Peter has 10 cups of flour, then how many batches of cookies can Peter make?
Answer:
he can make 5 batches of cookies
Step-by-step explanation:
In Connecticut, there are a total of 187 state legislators. If the number of representatives is 7 more than four times the number of senators, how many senators are in Connecticut?
just need the equation please
Answer:
36 senatorsStep-by-step explanation:
Let the number of representatives be r and senators be s
The we have system of equations:
r + s = 187r = 4s + 7Substitute r in the first equation:
4s + 7 + s = 187 - required equationSolving for s:
5s = 180s = 180/5s = 36Two cars started moving in opposite
directions from the same point at the same moment
of time. If the speed of one car is 50 mph, and the
other car goes at a speed of 60 mph, how soon the
distance between them will become 1320 miles?
Answer:
12 hours
Step-by-step explanation:
Which of the following ways can be used to determine whether a linear relationship is proportional? Select all that apply.
Multiple select question.
cross out
A)
The equation is in y = kx form.
cross out
B)
The equation is in y = mx + b form.
cross out
C)
In a table, the ratios are not equivalent.
cross out
D)
In a graph, the line passes through the origin.
cross out
E)
The graph of the relationship is a straight line.
Answer:
I think its b
Step-by-step explanation:
Sorry if im wrong :(
The ways that can be used to determine whether a linear relationship is proportional are-
A) The equation is in y = kx form.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related in a linear manner. If one quantity doubles in size, so does the other and so on.
Now the since the proportionality is the relationship in the linear manner.
This is represented as
x ∝ y.
⇒ x = ky
k is the constant of proportionality.
A direct proportionality can also be viewed as a linear equation in two variables with a y-intercept of 0 and a slope of k. This corresponds to linear growth.
Thus, the ways that can be used to determine whether a linear relationship is proportional are-
A) The equation is in y = kx form.
To learn more about proportionality :
https://brainly.com/question/2143065
#SPJ2
Option D is: y=2/5x-2
Please help I’m timed
D
Step-by-step explanation:
the y is -2
and the slope is 2/5
which means it is y=2/5x -2
Could anyone help me solve this problem ? It doesn’t have to be perfect
Answer:
x = 2
Step-by-step explanation:
If B and D are midpoints, then you have to similar triangles ACE and BCD that have a constant ratio on their corresponding sides.
That ratio is 1:2 for any side of triangle BCD compared to corresponding side on triangle ACE,
Then BD / AE = 1/2
cross multiplying:
2 * BD = AE
replacing with their expression in terms of x:
2 (5 x + 3) = 4 x + 18
using distributive property:
10 x + 6 = 4 x + 18
solving for x:
10 x - 4 x = 18 - 6
6 x = 12
x = 2
What is the greatest common factor of 125 and 250?
Answer:
125
Step-by-step explanation: