To solve this problem form the system of equations first, then solve them to find the values of the variables.
Nolan bought 2 apples and 10 bananas.
It's given that,
Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.Let the number of bananas he bought = y
And the number of apples = x
Therefore, cost of the apples =$2x
And the cost of bananas = $0.40y
Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)
Equation representing the total cost of fruits will be,
(2x + 0.40y) = 8
10(2x + 0.40y) = 10(8)
20x + 4y = 80
5x + y = 20 --------(1)
If he bought 5 times as many bananas as apples,
y = 5x ------(2)
Substitute the value of y from equation (2) to equation (1),
5x + 5x = 20
10x = 20
x = 2
Substitute the value of 'x' in equation (2)
y = 5(2)
y = 10
Therefore, Nolan bought 2 apples and 10 bananas.
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The annual profits for a company are given in the following table, where x represents
the number of years since 1997, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest tenth. Using this equation, find the projected profit (in
thousands of dollars) for 2008, rounded to the nearest thousand dollars.
Profits (y)
Years since 1997 (1) Gin thotsands of dollars)
0
66
1
108
2.
89
3
157
4
178
5
199
Confuse with this problem
Answer:
[tex]6 \frac{2}{3} [/tex] (second option)
Step-by-step explanation:
attached
write the number 7.1 x 10⁻⁵ in standard form
Answer:
Step-by-step explanation:
10^-5 is .00001, If it was 10^5 it would be 100,000, but since it is negative, you will have to "flip" it around. 0.1 is 10^-1 10^-2 is .01, 10^-3 is .001 etc...
Now .00001 * 7.1 is just .000071
:) hope this helped.
Answer:
.000071
Step-by-step explanation:
7.1 x 10⁻⁵ = 00007.1 = .000071
HELP PLS!!! You invested $25,000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $1900, how much was invested at each rate?
235Px=235P(x-1)*(3x)
Answer:
2456
Step-by-step explanation:
29. Flora is mailing 400 pairs of plastic sunglasses that each weighs 0.08 kg. How much will the entire shipment of sunglasses weigh?
Answer:
32kg
Step-by-step explanation:
0.08 x 400 = 32
hope this helped!
Answer:
Step-by-step explanation:
1 sunglass weighs 0.08 grams
400 sunglasses weight x
x = 400 * 08
x = 32 kg
one question to get 20 points
convert 4 5/7 a mixed number to imper fraction
Step-by-step explanation:
[tex]4 \frac{5}{7} [/tex]
[tex] \sf \: \dfrac{4 \times 7 + 5}{7} [/tex]
[tex] \sf \: \dfrac{28 + 5}{7} [/tex]
[tex] \dfrac{33}{7} [/tex]
A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pqWhat is the range of (0,1),(1,-1),(2,-1)
Answer:
(1,-1)
Step-by-step explanation:
plzz someones help me plz I will mark brainlest diameter is 1 3/4
Answer:
The area of the circle is 2.41 in^2
Step-by-step explanation:
You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.
1 3/4 = 7/4
7/4 = 1.74
Now, let's use the area of circle formula.
A = 1/4πd^2
A = 1/4 * π * 1.75^2
A ≈ 2.40528
Let's round the area to the nearest hundredth.
2.40528 = 2.41
find the mean of 31.6, 34.5, 29.8, 12,1
Answer:
27
Step-by-step explanation:
To figure out the mean of a group of numbers, one must add the numbers together and divide by the number of terms.
31.6 + 34.5 + 29.8 + 12.1 = 108
There are four terms in the group of numbers.
108 / 4 = 27
Therefore, the mean is 27.
Stephanie is painting her room wich is 14' long by 9' wide and each wall is 10' tall. How many square feet of paint will she use? help.
Answer:
460 sq ft
Step-by-step explanation:
Assuming the room is a perfect rectangle and not accounting for doors and windows:
14 ft x 10 ft = 140 sq ft X 2 = 280 sq ft
9 ft x 10 ft = 90 sq ft x 2 = 180 sq ft
280 sq ft + 180 sq ft = 460 sq ft
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
Six hundred seventy-two thousandths < 0.8
0.8 < six hundred seventy-two thousandths
Six hundred seventy-two thousandths = 0.8
Six hundred seventy-two thousandths > 0.8
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths < 0.8
I’ll make you as brainliest do these to problems show ya work !
Answer:
1. 7
2. 13
Step-by-step explanation:
1. x = 2 and y = 3
y^2 - x
= 3^2 - 2
= 9 - 2
= 7
2. x = 5 and z = 4
z + x + z
= 4 + 5 + 4
= 9 + 4
= 13
Answer:
7 for the first question and 13 for the second one
You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm3. What is the volume of the ball?
Recall that density = mass / volume.
Let's plug our known values into the equation.
15 g/cm^3 = 360g / volume
First, let's multiply both sides by volume
Volume * 15 g/cm^3 = 360g
Divide both sides by 15 g/cm^3
Volume = 24 cm^3
Density is defined as the mass per unit of volume. The volume of the ball is 24 cm³.
What is density?Density is defined as the mass per unit of volume. It is given by the formula,
Density = Mass / Volume
Given that You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm³.
Now, since density is the ratio of mass and volume. Therefore, we can write the volume of the ball as,
Density = Mass / Volume
Volume = Mass / Density
Volume of the ball = 360g / 15g/cm³
= 24 cm³
Hence, the volume of the ball is 24 cm³.
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3=g/-4-5 ((for 25 points))
Answer:
3=g/-4 -5
3+5=g/-4
8= g/-4
8x(-4)=g
g=-32
Step-by-step explanation:
help with this plzzzz
Answer:
point C
Step-by-step explanation:
both planes include point C so that is where they intersect
Answer:
Point C
Step-by-step explanation:
As you can see in the picture below, Point C is where both planes intersect. Point C is what both planes have in common.
Write -3 2/5 as a decimal number
Answer: -3.4
Step-by-step explanation:
[tex]-3\frac{2}{5} \\-\frac{3*5+2}{5} \\-\frac{15+2}{5} \\-\frac{17}{5} \\= -3.4[/tex]
70 POINTS!!! SOLVE TO EARN!!!
Answer:
37, 60, 30Step-by-step explanation:
Ann - a, Josh - j, Claire - c
a = j + 7j = 2ca + j + c = 157Substitute a and j into last equation and solve for c:
(j + 7) + 2c + c = 1572c + 7 + 3c = 1575c = 150c = 30Find a and j:
a = 30 + 7 = 37j = *30 = 60g(x)=
Write a relationship for a function whose g(x) values are 2 more than five times the principal square root of x.
Lets do
2 more than five times the square root of x[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]
Lets take an example
[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]
[tex]\\ \sf\longmapsto 5(2)+2[/tex]
[tex]\\ \sf\longmapsto 10+2[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
What is -2/3 - (-1/2)
Answer: -1/6
Step-by-step explanation: Start by changing the minus a negative
to plus a positive, so we have -2/3 + 1/2.
Since our denominators of 3 and 2 have no factors in common,
our least common denominator is 3 · 2 or 6.
In order to get a denominator of 6 in each fraction,
we multiply top and bottom of the first fraction by 2
and top and bottom of the second fraction by 3.
That gives us -4/6 + 3/6 which simplifies to -1/6.
AnswerAnswer:
Step-by-step explanation:
-0.16666666666
Answer the following.
7−5+2=−2−2(1−3)
Answer:
4=2
Step-by-step explanation:
Answer: 4≠2
Step-by-step explanation:
7-5+2=-2-2(1-3)
7-5+2=-2-2(-2)
7-5+2=-2+4
4≠2
Determine the domain of the following function:
Step-by-step explanation:
2x-18 ≥ 0
2x ≥ 18
x ≥ 9
and
3x -27 ≠ 0
3x ≠ 27
x ≠ 9
so, the answer is <9 ; +oo >
Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x
Answer:
I belive I might be c not completely sure but pretty positive
plz help been stuck for awhile
Need helpppppppppppppp
Answer:
35.24, hope that helps :)
Answer:
38.85 percent
Step-by-step explanation:
hope this helps you
Answer and explanation please?
Answer:
c= 13
Step-by-step explanation:
The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper
Select the pie chart that accurately represents Sabrina's variable expenses for the month of June.
Sabrina compiled a list of her variable expenses for the month of June to analyze her spending habits.
June
$327.32
Expense
groceries
fuel and transportation
costs
$103.15
$26.15
clothing
dining out
$122.56
entertainment
$78.16
Answer:
BOTTOM RIGHT CHART, JUST TOOK THE TEST
Step-by-step explanation:
PLATO
There are 4 fewer markers than crayons . There are 6 markers . How many cranyons are there
Find the average of the list of numbers.
- 13, – 25, – 24, – 14
Answer:
-19
Step-by-step explanation:
-13-25-24-14
= -76/4
= -19