The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship
Answers
Answer:
A, D
Step-by-step explanation:
Cost ($) = C
lbs (Blueberries) = W
One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.
6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.
To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.
2.75 * 5 is 13.75 (This means C is wrong)
Do the same but with 12 for D
2.75 * 12 is 33, so D is correct
You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)
Hope this helps! ^_^
A linear graph is represented by a straight line
The true options are:
A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33The points on the graph are:
[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]
[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]
The slope (m) of the graph is:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]
[tex]\mathbf{m = \frac{16.50}{6}}[/tex]
[tex]\mathbf{m = 2.75}[/tex]
The above means that: 1 pound of blueberries costs $2.75
Hence, (a) is true, and (b) is false
Multiply 2.75 by 5, to get the cost of 5 blueberries
[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]
This means that: (c) is false
Multiply 2.75 by 12, to get the cost of 12 blueberries
[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]
This means that: (d) is true
(e) is false, because:
[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]
Hence, the true options are: (a) and (d)
Read more about linear graphs at:
https://brainly.com/question/11804653
Related Questions
Solve each proportion for x. Round to the nearest tenth.
117/45=x/95
Answers
Answer: x=247
Step-by-step explanation:
1. Set up the equation
117/45=x/95
2. Cross multiply
117(95) = 11115
45(x)= 45x
3. Set both equal to each other
11115=45x
4. Divide 45 on each side
11115/45 = 45x/45
5. Solve for x
x=247
Hope this helps :)
-Morgan
A scuba diver swam 96 ft.
below the surface of the
lake. He then swims up 49
ft. What is his depth now?
Answers
Answer:
96-49=47
Step-by-step explanation:
he goes down then up so 47
Answer:
-47
Step-by-step explanation:
-96 + 49
-47
Find mo 8 5 m n o
Mo=
Answers
Answer:
MO is 13 units
Step-by-step explanation:
If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment
∵ Point N ∈ segment MO
→ That means point N divide segments MO to two parts MN and NO
∴ Point N divides segment MO into two parts MN and NO
→ That mans the length of segment MO equals to the sum of
lengths of MN and NO
∴ MO = MN + NO
∵ MN = 8 units
∵ NO = 5 units
∴ MO = 8 + 5
∴ MO = 13 units
A jewelry store is having a 45% off sale for all necklaces. During this sale, what is the cost of a necklace that regularly costs $59.98?
Answers
Answer:
32.99
Step-by-step explanation:
59.98(45%)=26.99
59.98-26.99=32.99
Answer:
$32.99, the discount took off $26.99.
Step-by-step explanation:
Good luck!
What value of p makes this equation true?
3/4 p- 1/4p + 3 = -2
Answers
Answer:
-10
Step-by-step explanation:
p/2=-5
p=-10
Answer:
-10
Step-by-step explanation:
3/4p-1/4p+3=-2
1/2p+3=-2
1/2p=-5
-10
The correct Standard Form of the equation y=3/2x+3
Answers
Answer:
3x-2y=-6
My mom listening to wap
!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?
Answers
Answer:
adjacent
Step-by-step explanation:
this just means they are next to each other, like they share a ray
Answer:
they are adjacent
Step-by-step explanation:
Adjacent means they are next to each other; and both these angles are right beside each other
Choose the best explanation that describes in words what the numerical value of the slope tells you.
a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Answers
Data for the question :
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth 0.85 0.85 0.79 0.86 0.89 0.92
Answer:
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Step-by-step explanation:
Given the data :
Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1
Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92
Using a regression calculator, we can find the model equation and extract the slope :
The regression equation obtained is :
y=5.039-0.1578x
From y = mx + c
Where m = gradient or slope
c = intercept
x and y are predictor and predicted variables respectively.
Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.
The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.
Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating
Answers
Answer:
it is c
Step-by-step explanation:
Answer:
C.) 0.5; Terminating
Step-by-step explanation:
Answer:
918=0.5
Showing the work
You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using
GCF(9,18) = 9
9÷918÷9=12
We know that
12
is the same as
1÷2
Then using
Long Division for 1 divided by 2
=0.5
Hope I helped
Brainliest plz
Find the x-intercept in the function: 3x-2y =6
Answers
Answer:
x=(2,0)
Step-by-step explanation:
3x-2y=6
3x-2(0)=6
3x=6
x=2
a horizontal line , such as y=4, has a slope of what
Answers
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?
Answers
Answer: The answer is 11/12 problems
Step-by-step explanation:
You add 2/12 + 9/12 which gives you a result of 11/12
2x+3y=10 8x+Ay=B
What Is the vaule of B
Answers
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answers
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Question
5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answers
Answer:
[tex]F = \frac{9C + 32}{5}[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{(5F - 32)}{9}[/tex]
Required
Determine the inverse function
[tex]C = \frac{(5F - 32)}{9}[/tex]
Make F the subject of formula:
Multiply through by 9
[tex]9C = 5F - 32[/tex]
Add 32 to both sides
[tex]9C + 32= 5F[/tex]
Divide through by 5
[tex]\frac{9C + 32}{5}= F[/tex]
[tex]F = \frac{9C + 32}{5}[/tex]
Which one is > greater or < less than or = equal to?? 6+√8____√6+8
Answers
[tex]\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }[/tex]
[tex]6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }[/tex]
Which statement is true regarding the graphed functions?
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2)=g(0)
Answers
What is wrong with the picture? Show work.
Answers
Answer:
The mistake is in the angles
Either both should be 69° or 70°Hope this helps you Stay happy and safe Do mark as brainliest ✌️Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads
Answers
Answer:
The equation that models the relationship between Z and N is N = 56 Z
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour
→ Find his rate per hour by dividing the number of pages by its time
∴ His rate of reading = 42 ÷ [tex]\frac{3}{4}[/tex] = 42 × [tex]\frac{4}{3}[/tex] = 56 pages per hour
∵ His rate = 56 pages/hour
∴ m = 56
∵ Z represents the number of hours Mark reads
→ That means replace x in the form of the equation above with Z
∵ N represents the number of pages of the book he reads
→ That means replace y in the form of the equation above with N
∴ N = 56 Z + b
∵ There is no initial amount of reading
∴ b = 0
∴ N = 56 Z
The equation that models the relationship between Z and N is N = 56 Z
Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?
Answers
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35
On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.
Answers
Answer:
Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph
Step-by-step explanation:
The rule of distance is d = v × t, where
v is the average speedt is the time∵ You wish to average 60 mph on a drive from your home to town
∵ The distance from your home to town is 78 miles
→ Find the time of your journey using the rule above
∴ 78 = 60 × t
→ Divide both sides by 60
∴ [tex]\frac{78}{60}[/tex] = t
∴ t = [tex]\frac{13}{10}[/tex] hours
∵ You have averaged only 45 mph in the first 39 miles (half way)
∴ v1 = 45 mph
∴ d1 = 39 miles
→ Find the time of this part
∴ 39 = 45 × t1
→ Divide both sides by 45
∴ [tex]\frac{39}{45}[/tex] = t1
∴ t1 = [tex]\frac{13}{15}[/tex] hour
→ Subtract the time of the first part from the time of the journey to
find the time for the second part
∵ t2 = t - t1
∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]
∴ t2 = [tex]\frac{13}{30}[/tex] hour
→ Now let us find the average speed of the second part of his journey
∵ d2 = 39 miles ⇒ (78 - 39)
∵ t2 = [tex]\frac{13}{30}[/tex] hour
∴ 39 = v2 × [tex]\frac{13}{30}[/tex]
→ Divide both sides by [tex]\frac{13}{30}[/tex]
∴ 39 ÷ [tex]\frac{13}{30}[/tex] = v2
∴ 90 = v2
∴ v2 = 90 mph
∴ Your average speed must be 90 mph in the remaining distance in
order to have overall average speed of 60 mph
What distance will a car traveling at a speed of 15 m/s cover in 300 s?
Answers
Distance formula: d = st
d = 15 * 300
d = 4,500m
So they will travel 4,500m! Have a nice day and mark brainliest if possible :)
[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]
[tex]4500 \: m[/tex]
Step-by-step explanation:
[tex]d = s \times t[/tex]
[tex]s = 15[/tex]
[tex]t = 300[/tex]
[tex]d = 15 \times 300[/tex]
[tex]d = 4500[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Find the Slope And Y- Intercept .
Answers
Answer:
slope= 3/4
y intercept= 1/2
Step-by-step explanation:
First find the slope using the formula y2-y1/x2-x1.
the points given: (-6,-4) and (2,2)
so plug in the points into the formula and you'll have:
2-(-4)/2-(-6)=
2+4/2+6=
6/8=
3/4
to find the y intercept, use the formula y-y1=m(x-x1)
y+4=3/4(x+6)
y+4=3/4x+9/2
y=3/4x+1/2
How many lines of symmetry does this figure have?
Pls help
Answers
Answer:
4
Step-by-step explanation:
This figure has 4 lines of symmetry
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
The distance horizontally is 15 units because 7-(-8) = 15
The distance vertically is 8 units because 8-0 = 0
Pythagorean theorem
a2 + b2 = c2
(225) + (64) = (289)
Square root 289 = 17 is the distance
Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answers
9514 1404 393
Answer:
(x, y) = (40, 2)
Step-by-step explanation:
Taking the antilog of the second equation, we have ...
x/y^2 = 10
x = 10y^2
Substituting this into the first equation gives ...
(10y^2)y = 80
y^3 = 8 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . cube root
x = 10·2^2 = 40
The solution is (x, y) = (40, 2).
Solve for S
P=4s
Please answer!!!!
Answers
Answer:
b
Step-by-step explanation:
divide both sides of the equation by 4 to leave s by itself
which postulates make these triangles congruent
Answers
Answer: 1) ASA
2) AAS/SAA
3) Not possible
Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent
all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.
Answers
Answer: 5-4+7x+1 = [7]x+[not 2]
5-4+7x+1 = [not 7]x+[any number]
5-4+7x+1 = [7]x+[2]
Harry drove 5 hours on the freeway. then decreased his speed by 20 miles per hour and drove for 3 more hours on a country road. if his total trip was 396 miles, than what was his speed on the freeway?
Answers
Answer:
What are the options
Step-by-step explanation: