Answer:
[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]
These all thave the same quotient of 3.2
Step-by-step explanation:
The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.
To find 2 mixed number or fraction with a quotient 3.2.
We can write 3.2 in the fractional form:
[tex]3.2 = \frac{32}{10}[/tex]
Now multiply both the numerator and denominator with 2, we get
[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]
which also has the quotient 3.2
Similarly, multiply both numerator and denominator of 32/10 by 3, we get
[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]
whici also has the quotient of 3.2
Similarly we can go on to find as many values as we want with the same quotient.
Which system of equations can be graphed to find the soultion(s) to x^2=2x+3
Answer:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
Step-by-step explanation:
The system would be:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)
From a point 35 meters from the base of a building, the angle of elevation of the top of the building is 65. How tall is the building, to the nearest meter? Show steps.
Answer:
75.06 m
Step-by-step explanation:
Look at the picture*
The function f is defined by f(x) = 2x²-1.
Find f (2x).
Answer: [tex]f(2x)=8x^2-1[/tex]
Step-by-step explanation:
All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.
[tex]f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\[/tex]
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. The THEORETICAL probability of the coin landing heads up is ___%.
HELPPPPPPPPP
Answer:
50
Step-by-step explanation:
Theoretically, there's a 50/50 chance of each happening, no matter how many times it's flipped.
The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?
Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
Answer:
31 is greater
Step-by-step explanation:
I will solve your system by substitution.
x=3y−5;43=x+y
Step: Solve x=3y−5 for x:
Step: Substitute 3y−5for x in 43=x+y:
43=x+y
43=3y−5+y
43=4y−5 (Simplify both sides of the equation)
43+−4y=4y−5+−4y (Add -4y to both sides)
−4y+43=−5
−4y+43+−43=−5+−43 (Add -43 to both sides)
−4y=−48
(Divide both sides by -4)
y=12
Step: Substitute12foryinx=3y−5:
x=3y−5
x=(3)(12)−5
x=31(Simplify both sides of the equation)
Answer:
x=31 and y=12
31 is greater than 12
3
Select the correct answer.
What is a benefit of health insurance?
O A.
It covers outpatient surgery expenses for your family and friends.
OB.
It guarantees a certain sum of money to your family after your death.
OC.
It ensures that you get paid despite being absent from work because of poor health.
OD
It reduces the cost of your health services and treatments.
Reset
Next
Answer:
D: It reduces the cost of your health services and treatments.
Step-by-step explanation:
15 pigs are entered in the "Best Pig" competition at the county fair. The
judges will award very special pigs with blue, red, and white ribbons. In how
many different ways can these ribbons be awarded to 3 of the 15 pigs?
A. 455
B. 3375
C. 45
D. 2730
Answer:
D.2730
Step-by-step explanation:
15x14x13=2730
f(x) =x² + 5x- 1 is shifted 3 units right. The result is g(x). What is (gx)?
Answer:
see below
Step-by-step explanation:
Shifting f(x) to the right 3 units is accomplished by replacing x with x-3:
g(x) = f(x-3)
g(x) = (x -3)^2 +5(x -3) -1 . . . . matches choice D
An angle is bisected, forming two new angles. If the original angle had a measure of 14 degrees, what is the measure of each new angle?
Hello I think the answer would be 7
An angle bisector, bisects an angle into two equal small angles
14 divided by 2 is 7
Hope this helps :)
The measure of each new angle will be 7°.
Since we are given the information that the original angle had a measure of 14 degrees, then when the angle is bisected, forming two new angles, we have to divide the original angle by 2. This will be:
= 14°/2
= 7°
Therefore, the measure of each new angle will be 7°.
Read related link on:
https://brainly.com/question/15288711
Find the exact value of tan (-1740)°
Answer:
square root of 3
Step-by-step explanation:
Use calculator
Which point on the graph represents the y-intercept? On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0). V W Y Z
Answer:
W
Step-by-step explanation:
It is point W because W is where the line crosses the y-axis.
what does the solution of an inequality look like?
Answer:
x=7
x<7
Step-by-step explanation:
what is the volume of the cone below:
5 cm
12 cm
13 cm
Answer:
780cm cubed
Step-by-step explanation:
if we want to find the volume we would do length x width x heightwhich would be 5 x 12 x 13so we would do 5 x 12 which is 60 then we would do 60 x 13 which equals 780So the answer is 780Since this is volume it would be 780cm cubedbrainlist and thanks if correct answer is screen shot
Answer:
y = 8/5
Step-by-step explanation:
y /2 = 4/5
Multiply each side by 2
y/2 * 2 = 4/5 *2
y = 8/5
HELPPPPPPPPP
jonah earned $5 more than half of karen’s salary, k. which of the following expressions represents jonahs earnings.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
Answer:
one halfk + 5
Step-by-step explanation:
The expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
A linear equation can be defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jonah earned $5 more than half of Karen's salary, k
Let Jonah's salary is J
J = 5 + (1/2)k
Or
= (1/2)k + 5
The above expression represents Jonah's earnings and the expression is a linear expression.
Thus, the expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
What are the solutions to the quadratic equation 2x^2+x=3
Answer:
2x^2+x=3
Step-by-step explanation:
2x^2-2x+3x-3=0
2x(x-1)+3(x-1)=0
(2x+3)(x-1)=0
x=-3/2
x=1
subtract- a(b-5) from b(5-a)
Answer:
5b - 5a
Step-by-step explanation:
b(5 - a) = 5b - ab
- a(b - 5) = - ab + 5a
Subtracting gives
5b - ab - (- ab + 5a) ← distribute parenthesis by - 1
= 5b - ab + ab - 5a ← collect like terms
= 5b - 5a
Find the value of x in each case. Give reasons to justify your solutions!
H∈ IG
Answer:
x = 24°
Step-by-step explanation:
Lines JH and EG are the parallel lines and HF is a transverse.
∠JHF ≅ ∠HFE [Interior alternate angles]
m∠JHF = 2x
Since, m∠JHF = m∠JHG + m∠FHG
2x = m∠JHG + x
m∠JHG = 2x - x = x
Since m∠JHI + m∠JHG = 180° [Supplementary angles]
156° + m∠JHG = 180°
m∠JHG = 180 - 156
m∠JHG = 24°
x = 24°
Therefore, x = 24° will be the answer.
Find the smallest positive integer k such that 360k is a cube number.
Answer: k = 75
Step-by-step explanation:
360
∧
36 10
∧ ∧
6 6 2 5
∧ ∧
2 3 2 3
Prime factorization of 360 is: 2³ · 3² · 5
Since we want a perfect cube, every number must be to the power of 3.
That means we need a 3 and 2 more 5s to make a cube
k = 3 × 5 × 5
= 75
Answer:
k = 75
Step-by-step explanation:
Factorize 360
360 = 36 * 10
= 2 * 2 * 3 * 3 * 2 * 5
As 360k is cube number, k = 3 * 5 * 5
k = 75
360k = 360 * 75 = 27000 is a perfect cube
Indicate whether the sentence or statement is true or false. Operations within parentheses should be completed before other operations.
Answer:
True
Step-by-step explanation:
Harvey bought a. Frame in which he put his family picture in what is the area of the frame not covered by the picture
Answer:
Area of the frame not covered with photo is equal to 129 square inches
Step-by-step explanation:
Given: Image of a frame
To find: Area of the frame not covered by the picture
Solution:
Area of rectangle = length of the rectangle × breadth of rectangle
Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches
Area of the frame covered with photo = 18 × 12 = 216 square inches
Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches
Find the total amount of money John has after 6 months
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Interest earned is $ 8.75
Total amount of money earned=708.75
Please see the attached picture for full solution
Hope it helps..
Good luck on your assignment
Choose EVERY true proportion.
BC
BD
ВС
BD
O AC
ВС
Answer:
a,b
Step-by-step explanation:
if a 10-pound turkey cost $20.42 how much does a 21-pound turkey cost
First divide $20.42 by 10 to find the cost of 1 pound/16 ounce turkey.
Dividing, this gives us 2.042.
Now, to find the cost of a 21-pound turkey, we multiply
the cost of 1 turkey by 21 to get 42.882.
So a 21-pound turkey is $42.882.
2cosx-square root of 3?
Answer:
1.73
Step-by-step explanation:
f h(x) = 2x + 1, find h(2x-3).
Answer:
h(2x - 3) = 4x - 5
Step-by-step explanation:
If h(x) = 2x + 1
h(2x - 3) = 2(2x - 3) + 1 = 4x - 5
BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 6. Find the number.
Answer: -26
Step-by-step explanation:
2(n - 4)= 3(n + 6)
2n -8 = 3n + 18
+8 +8
2n = 3n + 26
-3 -3
-1n = 26
n= -26
The following are the temperatures in °C for the first 10 days in January:
-4.2, -7.6, -2.3, -6.4, -3.3, 5.4, -7.7 ,-8.2 ,1.6 ,8.6
Calculate the range.
ok so to find the range it is the biggest subtracted from the smallest so it would be
8.6- -8.2= 16.8
I worked it out to be 16.8 hope this helps
(a) Find a simplified form of the difference quotient and (b) complete the following table.
f(x) = - 4x + 7
Answer:
a) -4
b)
x h [f(x+h) - f(x)] / h
3 2 -4
3 1 -4
3 0.1 -4
3 0.01 -4
Step-by-step explanation:
a) The difference quotient is:
[f(x+h) - f(x)] / h
Our function is -4x + 7, then:
f(x+h) = -4(x+h) + 7 = -4x -4h + 7
f(x) = -4x + 7
f(x+h) - f(x) = -4x -4h + 7 - (-4x + 7 )= -4x -4h + 7 +4x - 7 = -4h
Finally:
[f(x+h) - f(x)] / h = -4h/h = -4
b)
First point in the table:
x = 3
h = 2
f(x+h) = -4(3+2) + 7 = -13
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -13 -(-5) = -8
[f(x+h) - f(x)] / h = -8 / 2 = -4
Second point in the table:
x = 3
h = 1
f(x+h) = -4(3+1) + 7 = -9
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -9 -(-5) = -4
[f(x+h) - f(x)] / h = -4 / 1 = -4
Third point in the table:
x = 3
h = 0.1
f(x+h) = -4(3+0.1) + 7 = -5.4
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.4 -(-5) = -0.4
[f(x+h) - f(x)] / h = -0.4 / 0.1 = -4
Fourth point in the table:
x = 3
h = 0.01
f(x+h) = -4(3+0.01) + 7 = -5.04
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.04 -(-5) = -0.04
[f(x+h) - f(x)] / h = -0.04 / 0.01 = -4
Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.
Answer:
[tex]1/3,[/tex] [tex]3/8,[/tex] [tex]2/5,[/tex] [tex]3/7[/tex]
Step-by-step explanation:
[tex]3/7 \approx 0.42857142857[/tex]
[tex]1/3 \approx 0.33333333333[/tex]
[tex]2/5 = 0.4[/tex]
[tex]3/8 = 0.375[/tex]
Answer:
1/3,3/8,2/5,3/7
Step-by-step explanation:
