Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm
Answers
The equation which relates the height of the flower pot based on the number of pots is 4a + 16
Creating a system of linear equations based on the information given :
a = number of flower pots b = height of base4a + b = 32 - - - - - (1)
2a + b = 24 - - - - - (2)
From (2)
2a + b = 24
Make b the subject ;
b = 24 - 2a - - - - (3)
Put b = 24 - 2a in (1)
4a + 24 - 2a = 32
4a - 2a + 24 = 32
2a = 32 - 24
2a = 8
a = 8/2
a = 4
From (3) :
b = 24 - 2(4)
b = 24 - 8
b = 16
The equation which relates the height of a flower pot is 4a + 16
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Related Questions
if 42 watts are used in 3 seconds how many watts are used per second?
Answers
Answer:
14 watts per second
Step-by-step explanation:
42 watts/3 seconds=14 watts per second
I need help please LOL
Answers
need help please help me
Answers
Answer:
3
Step-by-step explanation:
27×1/9=27/1×1/9
=3
hope it helps!!
Yolanda was standing on the middle step of a staircase, painting a wall.She went up four steps to touch up a spot, then she went down five steps to continue painting. When she finished everything within reach,she went down six steps to the first step. Which step was the middle step. How many steps were there in the staircase. Use backwards working plzzzz answer i would rate 5 stars.plz help
Answers
Answer:
hope this helps
sorry if it isn't what you're looking for
Step-by-step explanation:
(x+4)-5)-6 =1
combine the +4 and -5
x-7 =1
add 7 to both sides
x=8
Yolanda started on step 8
May I please receive help?
Answers
Answer:
a) 60° b) 50°
Step-by-step explanation:
The measurements of a triangles total angles is always equal to 180.
In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.
In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.
All you need to do now is subtract 80 from 180 and divide the diffrence by 2.
So, 180-80=100
100/2=50
S=50
Q=50
I hope this helped! :D
Can abort help me with this math question the right answers
Answers
Answer:
pretty sure its D. 1.6 x 10^9
please help, lots of points!!!
Answers
v₁ = at + v₀
Step-by-step explanation:
[tex]\begin{aligned}\tt a&=\tt\frac{v_1 - v_0}{t}\\\tt a\cdot t&=\tt v_1 - v_0\\\tt a \cdot t +v_0&=\tt v_1\end{aligned}[/tex]
A random survey showed that 35 out of 52 people plan to vote for Mr Powell for Mayor. About how many people voted in the election, if 525 voted for Mr Powell
Answers
Answer:
780
Step-by-step explanation:
35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.
Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.
Answer:
780
Step-by-step explanation:
Item 5
What is the length of the line segment with endpoints (10.8, −5.3) and (−15.6, −5.3) ?
Answers
Step-by-step explanation:
since both points are on the same horizontal line (same y coordinate), we can save the detour via the Pythagoras approach. we only need to look at the difference of the x coordinates to get the distance :
10.8 - -15.6 = 10.8 + 15.6 = 26.4
The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14
15
Answers
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
In conclusion, the volume of the baseball is 6 inches.
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PLEASE HELP, WILL GIVE BRAINLY!!!!!!
Given: 2PQ = PR
Prove: Q is the midpoint of line PR
Statement: 2PQ = PQ + QR
Reason: ???
Answers
Answer:
Given: 2PQ = PR
Prove: Q is the midpoint of line PR
Statement: 2PQ = PQ + QR
Step-by-step explanation:
If Q is the midpoint of PR then
PR = PQ + QR [by segment addition postulate]
2PQ = PR [given]
2PQ = PQ + QR
2PQ-PQ = PQ + QR-PQ [by subtracting PQ from both sides]
PQ = QR
[tex] \because[/tex] Q lies on PR and PQ = QR
[tex] \therefore[/tex] Q is the midpoint of PR
3x+y-2x^2=11
finding out if this equation is linear or not.
Answers
Answer: It is not linear because the graph doesn't form a straight line.
Step-by-step explanation:
round 429 to the nearest hundred
Answers
Answer:
400
Step-by-step explanation:
429 is closest to 400 on the number line so it would be 400
maggi buys 3/4 of a pound of blueberries and uses 5/3 of them to make a smoothie
hovv many pounds of blueberries did maggi use to make a smoothie???????????????????????
Answers
Answer:
Step-by-step explanation:
it is 5/4 of a pound because because 5/3*3/4 = 5/4
How many pounds of flour is required to make
7 cakes if 1 cake takes 1 ½ lbs
Answers
Answer:
10 1/2 pounds are needed.
Step-by-step explanation:
7 x 1.5 = 10.5
Sarah and Emily ran a 324m race. If Sarah ran it in 61.3 seconds and Emily ran it in 60.4 seconds, how much faster was Emily than Sarah? Round to the nearest hundredth and give your answer in meters per second.
Please answer quick people keep answering it with links 3
Answers
Answer: 1.015 meters per second
What is the slope of a line perpendicular to the line y= -42 + 16
a. 1/4
b. -4
c. 4
d. -1/4
Answers
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
Answers
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
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Express as a trinomial.
(2x – 4)(x + 8)
Answers
Answer:
[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]
2x ( x + 8) -4(x + 8)
2x^2 + 16x - 4x - 32
2x^2 + 12x -32
the beach ball were packed 12 in each case .if 75 cases were delivered how many beach ball were there in all.
Answers
Answer:
900
Step-by-step explanation:
find the slope of the line
Answers
Answer:
A. 3/4
Step-by-step explanation:
Find the 2 points, then count how many boxes it goes up and over to the second point.
Find the z value that corresponds to the given area in the figure below.
Answers
We are given 0.3770. Since the number is behind 0 on the normal distribution curve, we can infer that 50% of data lies between the left side of the curve to the middle.
Subtracting 0.377 from 0.5, we get 0.123. Looking at our z-scores table (Table A Standard normal probabilities from AP Stats), we can see that -1.16 is closest to our desired value at 0.1230. Thus, z should be -1.16.
Match each expression on the left to the equivalent decimal.
4.6
5.6
5.7
6.7
2.63 + 3.07
9.4 - 4.8
3.92 + 1.68
8.5 - 1.8
Answers
Answer:
1. 5.7
2. 4.6
3. 5.6
4. 6.7
Step-by-step explanation:
The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?
Answers
25/100 x 600 = 150 square feet
Answer
25
Step-by-step explanation:
100% - 75% = 25%
25/100 x 600 = 150 square feet
Which shows another way to write 6 - 9?
9 - 6
9 - (-6)
6 + 9
6 + (-9)
Answers
8a +5 = 7b+4 = 5c +2
Answers
Answer:
a = 1/4, b = 5c -2
Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for the store by researching the items in the soup and their packaging to determine how many of each he will need. Explain. AlternativeText
Answers
The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.
The grocery list is therefore;
15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlicReason:
Amounts of beans soup Sam wants to make = 4 gallons
The recipe for the beans soup is as follows as obtained from an online home work document are;
Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\overline 3[/tex] gallons
1.25 cups of honey beans
0.75 cup carrots
1 cup cherry tomato
16 oz. vegetable broth
0.875 cup turnips
0.5 teaspoon salt
[tex]0.\overline 6[/tex] cup potato onions
0.125 teaspoon thyme
1 teaspoon garlic
The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;
[tex]Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12[/tex]
Therefore, Sam has to buy twelve times the amount of each ingredient as follows;
Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\mathbf{\overline 3}[/tex] gallons
12 × 1.25 = 15 cups of honey beans
12 × 0.75 = 9 cups of carrots
12 × 1 = 12 cups of cherry tomato
12 × 16 = 192 oz. vegetable broth
12 × 0.875 = 10.5 cup turnips
12 × 0.5 = 6 teaspoon salt
12 × [tex]0.\overline 6[/tex] = 8 cups of potato onions
12 × 0.125 = 1.25 teaspoons thyme
12 × 1 = 12 teaspoons garlic
The grocery list is therefore;
15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlicLearn more here:
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Solve for m < DBC.......
Answers
Answer:
∠ DBC = 34°
Step-by-step explanation:
∠ DBC = ∠ ABC - ∠ ABD = 64° - 30° = 34°
what is the answer to 95x-45+-8x[67=
Answers
Answer:
Combine Like Terms:
=95x+−45+−536x
=(95x+−536x)+(−45)
=−441x+−45
Step-by-step explanation:
If Michael made 12 shots out of 18 what is the percentage of shots made by him?
Answers
Answer:
At least 66%
Step-by-step explanation:
65% of 18 is 11.7
67% of 18 is 12.06
Therefore, at least 66% of the shots where made by Michael.
Step-by-step explanation:
100% = 18
x% = 12
x% = 100% / 100 × x
so,
18/100 × x = 12
18x = 1200
x = 1200/18 = 200/3 ≈ 66.66666...
so, he made about 67% of the shots.