Answer:
100.
Step-by-step explanation:
By proportion the number of apples sold is (6/4) * 40
= 6 *10
= 60.
Total fruit = 40 + 60 = 100.
Let f(x) = x^2 + 1 and g(x) = x − 3. Write an expression for f(g(x)).
Answer:
x³-6x+10
Step-by-step explanation:
f(g(x))=(x-3)²+1
(x-3)(x-3)+1
x²-3x-3x+9+1
x³-6x+10
A store owner purchased 70 soccer balls for $24.50 each. The store owne sold 40 of the soccer balls for $39.75 each. The remainder of the soccer balls were sold for $29.50 each. How much profit did the store owner earn?
Answer:
The stores profit was $757
Step-by-step explanation:
70 x 24.50=1715
they spent 1715 on 70 soccer balls.
They sold 40 of the soccer balls for 39.75 each.
so 40 x 39.75=1590
Then the the remainder of the soccer balls would be 30 since they only started with 70
so they sold 30 soccer balls for 29.50 each.
30 x 29.50= 882
So add 882+1590=2472
then take that number and subtract it from 1715
2472-1715=757 So in profit they made $757 dollars.
Molly and George earned 352 points together. Molly has half the number of points as
George. Which equation could represent this situation? Let g represent the number of
points George earned.
Answer:
Assume G = George
I can use the problem to find that:
G + 1/2G = 352
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
the area in square yards is 100πyd^2
Step-by-step explanation:
The computation of the area is shown below:
Area = πr^2
= π10^2
= 100πyd^2
Hence, the area in square yards is 100πyd^2
We simply applied the above formula to determine the area
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex] x = \frac{2*\sqrt{3}}{3} [/tex]
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
[tex] tan (30) = \frac{opp}{adj} [/tex]
[tex] tan (30) = \frac{x}{2} [/tex]
[tex] 2 * tan (30) = x [/tex]
[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)
[tex] \frac{2}{sqrt{3}} = x [/tex]
Rationalize
[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]
[tex] \frac{2*\sqrt{3}}{3} = x [/tex]
3 examples of proportion in real life ?
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
pls help the question is in the picture
Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
Are 2(x - 3) + 1 and 2x + 6 equivalent expressions
Answer:
No.
Step-by-step explanation:
2(x-3) + 1 = 2x - 6 + 1 = 2x - 5
2x + 6 ≠ 2x -5, so no, they aren't equivalent.
The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.
What is Equivalent Expression?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
We have two expressions to compare 2(x- 3) + 1 and 2x +6 .
Now, simplifying the first expression as
= 2(x -3) + 1
= 2x - 6 +1
= 2x - 5
and, the second expression is 2x + 6.
Thus, both of expression are not Equivalent.
Learn more about Equivalent Expression here:
https://brainly.com/question/28170201
#SPJ7
find the mean of the distribution
Answer:
yyy
Step-by-step explanation:
Answer:Canst see
Step-by-step explanation:
sorry my guy
pls explain i dont get it
Answer:
C
Step-by-step explanation:
A: (0,__) (__ is the y-intercept)
In this case it is (0,3) so 3
B: y=mx+b (b is the y-intercept)
-4 is b so -4
C: y=2x+4
4 is b so 4
Let me know if you would like further explanation!!
Josephine lives in a
castle 5 miles north of Earl, and Alexander lives 12 miles east of Earl. How many miles away do
Josephine and Alexander live from each other?
9. A ship sails 20km due North. It changes
direction and then sails 15km due East.
How far is it from its starting point?
Answer:
Ans = appx 10.439 units
Step-by-step explanation:
This answer will vary depending on the starting latitude of the ship due to earth not being flat, despite suddenly popular opinions.
So if we used a flat cartesian space ignoring the curvature of the earth we could have a fixed constant answer to this question. Lets do it that way.
Just to clarify: NO the earth is not flat.
Another assumption of this question is the difference between compass north and true north, which we have to throw out for the same reasons.
Real world answers to this question would not be as simple… #imjustsaying
Ok so first travel northeast, lets call that a bearing of 45 degrees directly northeast to also squash any variations there… then a bearing of 250 degrees which ill assume is not a relative bearing (LOTS OF ASSUMPTIONS GOING ON HERE) which is sortof in the west-southwest direction.
The angle at the turn goes from 45 to 250. reversing the 45 shows our angle to be between 250 and 180+45=225 so the angle is 25 degrees with one leg being 20 units (kilometers) long and the other leg being 12 units long. How many units apart are the two points that are connected to that angle?
(12sin(25))^2+(20–12cos(25))^2 = x^2
Enjoy calculating. Make sure that 25 is in degrees and not in radians.
Ans = appx 10.439 units
Solve the exponential equation: 4x – 2 = 1∕4
Question 9 options:
A)
x = 1
B)
x = –1
C)
x = –2
D)
x = 2
4
Step-by-step explanation:
I do not know but maybe 1/4
A math question I need help in
is this graph a function
Answer: yes because it if u plug in x values u get y values
A triangle has sides with lengths of 12 miles, 84 miles, and 85 miles. Is it a right triangle?
Answer:
[tex]\boxed {\boxed {\sf No}}[/tex]
Step-by-step explanation:
If a triangle is a right triangle, it can satisfy Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.
[tex]a= 12 \\b=84 \\c=85[/tex]
Substitute the values into the formula.
[tex](12)^2+(84)^2=(85)^2[/tex]
Solve the exponents.
12²= 12*12=14484²=84*84=7056 85²= 85*85=7225[tex]144+7056=7225[/tex]
Add on the right side.
[tex]7200\neq 7225[/tex]
7220 is not equal to 7225, so these sides cannot be a right triangle.
Answer 1 and 2 please.
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
Quick I need some help! Simplify to create an equivalent expression. ( photo linked)
Answer:
B. 31r − 71 is the answer!
1. Si se tienen los eventos:
A. Que la ruleta se detenga en un número menor que cuatro.
B. Que se detenga en un número múltiplo de cuatro.
a) ¿Cuál es la probabilidad del evento A? =
b) ¿Cuál es la probabilidad del evento B? =
c) ¿Qué significa que ocurra A o B?
d) ¿Cuál es la probabilidad de que ocurra A o B?
Answer:
c...........................
ronald has 2 quarters, 4 dimes, 3 nickels, 6 pennies in his pockets. without looking, he pulls a coin out of his pocket. what is the probability that he pulls out a nickel?
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
Find the missing base
Show you work! Giving lots of points for great explained answer!
Answer:
If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.
Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of flour.
1 3/4 can be rewritten as an improper fraction- 7/4.
3 1/2 can also be rewritten as an improper fraction- 7/2.
Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.
This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs a lot more than that.
Hope this helps!
Answer:
no she is incorrect
she will require 49/8 cups
What is the value of sin 60
Answer:
-0.3048106211
c) 12 x 3 + 9 + (15 - 2) × 3 =
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
2radical3+3radical2
Rationalize the denominator (simplify)
(3-√2
Step-by-step explanation:
ucixidepchflgkckcudkchdkgldjcisifiic
find the sum f(x)=׳/3+ײ/2+× and g(×)=׳/2+ײ/3+×/4
Answer:
(fog) (x) = 2(3x + 2) - 1 = 6x + 4 - 1 = 6x + 3 = 3(2x + 1)
Step-by-step explanation:
If f(x) = 2x - 1 and g(x) =3x + 2then find (fog) (x)