Answer:
The baker bought 8 apples and 4 bananas
Step-by-step explanation:
System of Equations
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas
Find the equation of the line passing through point (4,2) and perpendicular to AB
Step-by-step explanation:
The gradient of the perpendicular line is 3.
We have y = 3x + c.
When x = 4, y = 2.
=> (2) = 3(4) + c, c = -10.
Hence the line equation is y = 3x - 10.
What is the approximate volume of the cone? Use 3.14 for it.help please
Answer:
157.08, so it is the first opition
Step-by-step explanation
Volume of a cone is pie x the radius squared by 2 x the hieght divided by 3
pie x 5^2 x 6/3
pie x 25 x 2
157.08
hi i need help in math, this is a big grade, :(
Answer:
oop q-q
Step-by-step explanation:
Washington College has many students enrolled in their engineering program. Engineering students at Washington College last year received an average of $9,600 in scholarships and grants. This year, the average is $5,184. What is the percent of change in the average amount received? Was this an increase or decrease?
Answer:
The percent of change in the average amount received was 46% and this was a decrease.
Step-by-step explanation:
You can use the following formula to calculate the percentage of change:
% of change = ((New number-Original number) / Original Number) x 100
New number= 5,184
Original number= 9,600
Now, you can replace the values in the formula:
% of change = ((5,184-9,600) / 9,600) x 100
% of change = (-4,416 / 9,600) x 100
% of change = (-0.46) x 100
% of change = -46%
According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.
PLEASE ANSWER THE QUESTION I ASKED PREVIOUSLY IT'S REALLY IMPORTANT AND TIME SENSITIVE - IT'S MATH
Answer:
answered
Step-by-step explanation:
A liquid changing to a gas Is an example of
x square + 2 x - 5 equals to 0
Answer:
x = -1 ± √6
Step-by-step explanation:
[tex]x^{2} +2x - 5 = 0[/tex]
Lets use the quadratic formula → [tex]x = \frac{-b + \sqrt{b^{2} - 4ac} }{2a} \:or \frac{-b - \sqrt{b^{2}- 4ac } }{2a}[/tex]
So ,
[tex]x = \frac{(-2) + \sqrt{(2)^{2} - (4\times1\times-5) } }{2\times1} \:or \frac{(-2) - \sqrt{(2)^{2} - (4\times1\times-5) }}{2\times1}[/tex]
[tex]=> x = \frac{-2 + \sqrt{24} }{2} \:or \frac{-2-\sqrt{24} }{2}[/tex]
[tex]=> x = \frac{-2 + 2\sqrt{6} }{2} \:or \frac{-2 - 2\sqrt{6} }{2}[/tex]
Lets take 2 common from numerator.
[tex]=> x = \frac{2(-1 + \sqrt{6}) }{2} \:or \frac{2(-1-\sqrt{6}) }{2}[/tex]
Cancelling 2 from numerator & denominator gives
[tex]x = (-1+\sqrt{6} ) \: or (-1 - \sqrt{6} )[/tex]
classify this triangle by its angle
Answer: acute
Step-by-step explanation:
Any angle less then 90 degrees is acute
Answer:Idek
Step-by-step explanation:
Write the fraction 36/27 in simplest form
Answer:
Step-by-step explanation:
9/13.5
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answer:
Diagonal=11.3m
Area of square (A) =1/2*d^2
=1/2*(11.3)^2
=63.845m^2
We know,
Area of square A= l^2
63.845=l^2
L=
[tex] \sqrt{63.845 } [/tex]
L=7.99m
Now,
Perimeter of square =4l
=4*7.99
=31.96m
can you write an expression that will simplify to 6x - 4y?
In the diagram, AGEF and AHEF are congruent. What is the value of x? A. 60 B. 41 C. 28 D. 30
Answer: C) 28
Explanation:
The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.
Set those two expressions equal to one another. Solve for x.
2(x+2) = 60
2x+4 = 60
2x = 60-4
2x = 56
x = 56/2
x = 28
The correct value of the variable x is,
⇒ x = 28
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the diagram,
ΔGEF and ΔHEF are congruent.
Hence, We can formulate;
⇒ 2 (x + 2) = 60°
⇒ 2x + 4 = 60
⇒ 2x = 60 - 4
⇒ 2x = 56
⇒ x = 28
Thus, The correct value of the variable x is,
⇒ x = 28
Learn more about the triangle visit;
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MATH HELP ASAP! MARKING BRAINLIEST
Answer:
y=5x
Step-by-step explanation:
(Ignore this) I mean you can get the points if u want lol
Answer:
yuhhhh thanks brah hehehejejejne
5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 pounds of dog weighs 45 pounds. All 6 of dog food weighs 45 pounds. All 6 bags of dog food weigh the same and app bags of cat food weigh the same. What is the ratio of dog food to cat food?
Answer:
k = y/x
k = 30/2
k = 15 <=== constant of proportionality
Step-by-step explanation:
What is the definition of voyage
Answer:
The definition of voyage is
Step-by-step explanation:
Voyage- A long journey involving travel by see or in space
HELP!!!! 10 points marked brainliest
Answer:
y = 65°
Step-by-step explanation:
equal sides correlate to equal angles
if sides opposite angles 'y' and 65° are the same then their angles are also
Write the rule for the linear function. Remember a function rule is written using f(x)
Answer:
The rule for the linear function will be:
[tex]f(x) = -2x+5[/tex]
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope
(1, 3)(2, 1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]
[tex]m=\frac{1-3}{2-1}[/tex]
[tex]m=-2[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 3 = -2 (x-1)[/tex]
[tex]y-3 = -2x+2[/tex]
adding 3 to both sides
[tex]y-3+3 = -2x+2+3[/tex]
[tex]y = -2x+5[/tex]
or
[tex]f(x) = -2x+5[/tex]
Therefore, the rule for the linear function will be:
[tex]f(x) = -2x+5[/tex]
1. Write a congruence statement for the pair of triangles shown.
AUTS = ARST
AUTS = ASTR
AUTS = ARTS
Answer: ΔUTS ≅ ΔRST
Step-by-step explanation:
ΔTSU is congruent to ΔSTR, not ΔUTS
ΔUTS is congruent ΔRST not ΔRTS
ΔUTS ≅ ΔRST
Hope I helped!
please please help, :)
Answer:
4
Step-by-step explanation:
The LCM
The LCM of 12,18,2412,18,24 is 2⋅2⋅2⋅3⋅3=722⋅2⋅2⋅3⋅3=72.
the HCF
The prime factorization of 36 is
2 x 2 x 3 x 3
The prime factorization of 54 is
2 x 3 x 3 x 3
2 x 3 x 3 = 18
72÷18=4
A carpenter can build 1 doghouse in 1 day. How many doghouses can 12 carpenters build in 20 days?
Answer:
240
Step-by-step explanation:
12x20=240
MUSIC Thirty-six percent of the songs on your MP3 player are pop songs.
Write this percent as a decimal.
Answer:
.36
Step-by-step explanation:
36% -> 36/100 -> .36
PLS HELP
20 points
do girls actually pöø'p?
lm'a' o
Answer:
what kind of question is this? i-
Step-by-step explanation:
yes girls p o o p
Answer:
Yes they do
Step-by-step explanation:
I just needed more points.
2m² + 10 for m = -6
Help please
Answer:
82
Step-by-step explanation:
2×m²+10
m²= -6×-6=36
36×2=72+10=82
Hey there!
• If m = –6 then substitute it in the equation where m is at!
2(–6)² + 10
(–6)² = (–6)(–6) = 36
2(36) + 10 =
72 + 10 = 82
Answer: 82 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Lani had some flowers in her garden from last year. When spring arrived, Lani started planting more flowers in the garden each week. The total
numbers of flowers in the garden after weeks 2, 4, 6, and 8 were 14, 18, 22, and 26, respectively. How many flowers did Lani have in her garden
from last year? Assume that the relationship between the two quantities is linear.
a.2
b.4
c.10
d.12
1/5 of the time table of a class given to English while 1/8 is given to mathematics. What fraction is left for the other subjects
which equation is true
Answer:
A
Step-by-step explanation:
Well, this isn't too hard.
Since the left is the negative side (R) and the right is the positive side (S), a positive and a negative with the same number will equal zero if only one of them are negative.
You ALWAYS subtract when there's two different signs.
In a bakery that sells cookies, there are 4 oatmeal cookies for every 11 chocolate cookies. If there are 285 cookies altogether, how many oatmeal cookies are there? Pls explain how u solved
There are 76 oatmeal cookies:
4 + 11 = 15
285/15 = 19
19 × 4 = 76
Find the solution mentally.
d. 24 = -12
Answer:
was this question written correctly
Step-by-step explanation:
this question can't be solved
HELP! BRAINLIEST!
A piece of Styrofoam has a charge of -0.004 C and is placed 3.0 m from a piece of salt with a charge of -0.003 C. How much electrostatic force produced?
And please show work of how you got the answer pls :)
Given that,
Charge q₁ = -0.004 C
Charge q₂ = -0.003 C
Distance between charges, d = 3 m
To find,
The electrostatic force between charges.
Solution,
The formula for the electrostatic force is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}\\\\F=\dfrac{9\times 10^9\times 0.004 \times 0.003 }{(3)^2}\\\\=12000\ N[/tex]
So, 12000 N of electrostatic force is produced.
This question is based on the concept of electrostatic.Therefore, the electrostatic force produced is 12000 N.
Given:
Charge q₁ = -0.004 C
Charge q₂ = -0.003 C
Distance between charges, d = 3 m
We need to determined the how much electrostatic force produced.
According to the question,
By using the formula for the electrostatic force is given by :
[tex]F = k \dfrac{q_1 \; q_2}{d^2} \\\\F = \dfrac{9 \times 10^9 \times 0.004 \times 0.003 }{3^2} \\\\\bold{F= 12000 \; N} \\[/tex]
Therefore, the electrostatic force produced is 12000 N.
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