Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by 3. I take it mean 1/3 * x and not 1/(3*x) which puts x in the denominator.
6x - 15 = (1/3) x * 3 Cancel on the right.
6x - 15 = x Subtract 6x from both sides.
6x - 6x - 15 = x - 6x Collect light terms
- 15 = - 5x Divide by - 5
-15/-5 = -5x/-5
x = 3
Please I beg you help me
Answer:
Option D
Step-by-step explanation:
Going through the choices will help determine which option best simulates the random selection of a voter.
Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.
Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.
Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.
Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.
Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.
Nava has a higher chance of being voted, so this option does not fit the stimulation.
Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang
In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.
Hope this helps :)
Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?
Answer:
5 possible ways
Step-by-step explanation:
Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:
D E F
A B C
I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.
In reality, A and F can never change their positions if we maintain the arrangement specified.
What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.
Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.
Question 5 (1 point)
At the corner produce market, apples cost $2 each and
oranges cost $1 each.
Find the cost of:
a. 6 apples and 3 oranges:$
apples &
oranges
b. 4 apples and 4 oranges:$
apples &
oranges
c. 5 apples and 4 oranges:
apples &
oranges
d. 8 apples and 2 oranges:$ apples &
oranges
Blank 1:
Blank 2
Blank 3:
Blank 4:
Blank 5
Blank 6:
Blank 7
Blank 8:
Answer/Step-by-step explanation:
Unit cost of apple = $2 let each
Unit cost of orange = $1 per each
a. Cost of 6 apples = 6 × $2 = $12
Cost of 3 oranges = 3 × $1 = $3
b. Cost of 4 apples = 4 × $2 = $8
Cost of 4 oranges = 4 × $1 = $4
c. Cost of 5 apples = 5 × $2 = $10
Cost of 4 oranges = 4 × $1 = $4
d. Cost of 8 apples = 8 × $2 = $16
Cost of 2 oranges = 2 × $1 = $2
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
Please help me! ASAP
11
10
9
8
7
6
5
4
3
2
1
1 2 3
4
5 6 7 8 9 10 11
A.
B. 8
C. 4
D. 3
Answer:
Here
Step-by-step explanation:
C.4
Each time you go up 4 over 1
so it would be 4/1=4
PLEASE HELP ASAP!!! Normal people- me- I WILL MARK FIRST ANSWER BRAINLIEST BUT IT HAS TO BE AN ACTUAL ANSWER (the question is in the image)
Answer:
It would be B
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?
Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
A rectangle has a length that is 12 ft longer
than its width. If its perimeter is 84 ft, what
are the dimensions of the rectangle? Write
a system of equations representing the
situation and then find the dimensions to
obtain full credit.
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function (simplify to slope- intercept form). c. Use the linear function in part (b) to determine the base cost of making your own fruit juice.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
True or false?
30 is divisible by 2, 4, 5, and 10. hurry please trying to go get my nails done
Answer:
It's false see 4 cannot go into 30 can I have
brainly?:)
Step-by-step explanation:
3. The population of a country increases by 2% every year. The current
Population is 3 crores. What would be the population after 3 years?
Answer:
A=P(1+
100
R
)
n
A=10000(1+0.1)
3
=13310
Step-by-step explanation:
please mark me as the brainliest answer and please follow me
A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?
Answer:
Their is a different question in the pic then the writing?
Which equation represents a proportional relationship?
a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1
I am not certain but I think c? if its wrong sorry
CAN SOMEONE HELP IM SO CUNFUSED
Answer:
m = 1/3
Step-by-step explanation:
Answer:
Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1
from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.
So to find this answer we could graph the points or just find out how many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)
From -2 to 7 is 9 units and from 1 to4 is 3 units
The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3
Step-by-step explanation:
I need help on all of them :(
rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars
Answer:
INTEREST=Rs 3960
Step-by-step explanation:
INTEREST=PTR/100
INTEREST=12000*3*11/100
INTEREST=3960
Answer:
rs 16411.57
Step-by-step explanation:
12000×11%÷100=1320
1320+12000=13320×11%÷100=
1465.20+13320=14785.20
14785.20×11%÷100%=1626.37
1626.37+14785.20=16411.57
Ans =16411.57
The art teacher is going to have students
paint a mural on the wall of the school.
The building is 632.5 feet long, and there
are 73 students. Part of the wall can't be
painted because it has doors in it; this
part of the wall is 12 feet long. How wide
is the area that each student will have to
paint?
Answer:
8.5 feet
Step-by-step explanation:
632.5-12= 620.5
620.5/73=8.5
A car is travelling at 40 kilometres per hour. The car increases its speed to 56 kilometres per hour. Calculate the percentage increase in the speed of the car.
Need the answer ASAP!
For my homework.
Thank youu
Answer:
40%
Step-by-step explanation:
40%
40*40%= 16
16 is the difference between the 40 and 56.
The percentage increase in the speed of the car from 40 km per hour to 56 km per hour will be 71.43%.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A car is travelling at 40 kilometres per hour.
The car increases its speed to 56 kilometres per hour.
Then the percentage increase in the speed of the car will be
[tex]\rm P = \dfrac{40}{56} \times 100\\\\P = 71.4285\% \approx 71.43\%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
y varies inversely as X. y=4 when x=2. Find y when x=16
Answer:
y = 32 (Verified Answer) ✅Step-by-step explanation:
We will use a proportion to solve this.
[tex]\frac{2}{4} = \frac{16}{y}[/tex]
Now, we cross multiply.
2y = 16 x 4
2y = 64
Now, we must divide by 2 to get the correct value for y
y = 64/2
y = 32
Now, we can use the same proportion to check our answer.
2(32) = 16 x 4
64 = 64 ✅
9514 1404 393
Answer:
y = 1/2
Step-by-step explanation:
The inverse relation means ...
y = k/x
We can find k from ...
xy = k = (2)(4) = 8
Then when x = 16, we have ...
y = 8/x = 8/16 = 1/2
y is 1/2 when x = 16.
Given that
4x : 3= 11 : 5 Calculate the value of x
.
Step-by-step explanation:
[tex]1 \frac{13}{20} [/tex]
[tex]4x \3 = 11 \5 \\ \\ 20x = 33 \\ x = 33 \div 20 \\ = 1 \frac{13}{20} [/tex]
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
9514 1404 393
Answer:
7/3
Step-by-step explanation:
The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":
slope = m = rise/run = 7/3
The slope of segment 5 is 7/3.
5×4^²=
(5×4)^²=
(3×4)^²=
Answer:
I think the answer would be 5.4 squared would be 80. ( 5.4) squared would be 400. And (3.4) squares would be 114. I hope that this helps.
Step-by-step explanation:
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
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A cow is eating green grass that grows in a field.
Which type of organism is the grass in this scenario
consumer
decomposer
prey
producer
A cow is eating green grass that grows in a field. The grass in this scenario is the producer.
'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.
Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.
Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.
Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.
A few creatures eat just dead or decaying materials and are called decomposers.
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7. Serene paid $35.01 to buy 9 hot dogs. How much did each hot dog cost?
Answer:$3.89
Step-by-step explanation:
divide 35.01 by 9 and then you get the answer $3.89
HEEEEEEEEEEELPkjbflakbeiufakebslkja
Answer:
The answer is 20 feet..
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
PLEASE HELP DUE TODAY TOOOO!!!!
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation:
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your
answer with two or more sentences.