Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
Answer:
25/30 and 28/30
Step-by-step explanation:
answer for the plato mastery test
solve for x
4x=30
give your answer as an improper fraction in its simplest form
Answer:
x=15/2Step-by-step explanation:
given:-4x=304x/4=30/4x=7.5 when we convert to improper fraction=75/10=15/2. Larry solved this equation. 3(2-3)= x Which representation could Larry have used to solve this equation?
Answer:
x = -3
Step-by-step explanation:
Given the expression solved by Larry as;
3(2-3) = x
We are to find the equivalent expression x
Using the distributive law;
3(2) - 3(3) = x
6 - 9 = x
-3 = x
Swap
x = -3
Hence Larry could use the distributive law to solve the expression
Write the following expression using symbolic language.
1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three
Answer:
1) 7x - 5 2) 9y - 18 3) 0.5n + 4n 4) 2(w³+23) Step-by-step explanation:1)
The product of seven and a number x: 7·x = 7x
Five less than the product of seven and a number x:
7x - 52)
nine times a number y: 9·y = 9y
The difference of nine times a number y and eighteen:
9y - 183)
half a number n: 0.5n
four times the number: 4·n = 4n
Half a number n increased by four times the number:
0.5n + 4n4)
a number w cubed: w³
the sum of a number w cubed and twenty-three: w³+23
Twice the sum of a number w cubed and twenty-three:
2(w³+23)
Julie wants to attend a two-year college that has an annual tuition of $8,600. Julie earned a grant of $1,600 for each year and has saved $5,980 for college. How much more does she need to pay the tuition for both years?
You deposit $400 in an account . The account earns $ 16 simple interest in years . What is the annual interest rate? year
Answer:
The correct answer is 25.
Step-by-step explanation:
deposit- 400
interest- 16
Rate= deposit divided by interest
400 divided by 16 = 25
Which of the following equations models the same function as 2x-3y=6 A, y=2/3x-15 B, y=-2/3x-2 C, y=-2/3x-15 D, y=2/3x-2
Answer:
D. y= 2/3x-2
Step-by-step explanation:
y=6-2x/-3
-2+2/3x
2/3x-2=y
The graph of an equation is shown below:
Answer:
D, or (-3,2)
Step-by-step explanation:
Because the point (-3,2) is on the line of the equation shown, it is a solution. You can also notice that none of the other options are on the line and use the process of elimination.
R = 21 ft. find the radius or diameter
Answer:
Radius = 21 ft
Diameter = 42 ft
Step-by-step explanation:
Answer:
radius is 10.5 ft.
Step-by-step explanation:
bc I said so
11. What is the value of x?
X
X-
2
x + 5
x + 1
da - x+5
Explicación
cualquier expresión multiplicada por 1 es igual a si mismo
x-2x+s
agrupe los términos semejantes
-x+5
PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS
9514 1404 393
Answer:
[tex]\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x<-4\end{cases}[/tex]
Step-by-step explanation:
The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...
3x +12 < 0
x +4 < 0
x < -4 . . . . . makes the absolute value function change its argument's sign
Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.
Before the florist has a chance to finish the bouquets, a large order is
placed. After the order, only 85 roses and 163 peonies remain. How many
regular bouquets and mini bouquets can the florist make now?
Answer: 8 regular and 15 mini bouquets
Step-by-step explanation: yw <3
A triangle has side lengths of 16 cm and 7 cm. Which could be the value of the third side, 28 cm or 19 cm?
The Value _______ cm is the value of the third side.
Drop down options:
28
19
Answer:
19Step-by-step explanation:
by pythagoras theorm
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? * answer to this problem hat is what i need
Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
In Mr. Jegou’s neighborhood 35% of the houses are blue. Write the percent that do not live in blue houses as a decimal and a fraction in simplest form
Answer:
65%
Step-by-step explanation:
65% + 35%=100%
help this is due today ;::
Answer: C- 17
Step-by-step explanation:
Which numbers are solutions of the inequality?
x > –5; –7, –5, –1
–7 and –5
–1
–5 and –1
–5
Answer:
—1 ...........................
Determine if the two triangles are congruent. If yes, which theorem proves their congruence?
Answer:
Not congruent.
The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.
Step-by-step explanation:
Stephanie puts 30 cubes in a box. The cubes are inch on each side. The box holds 2 layers
with 15 cubes in each layer. What is the volume of the box?
Answer:
[tex] 11.25\: {in}^{3} [/tex]
Step-by-step explanation:
Since, box contains two layers of cubes and each layer has 15 cubes.
So, length = 15*1/2 in = 7.5 in,
width = 3*1/2 in = 1.5 in
height = (1/2 + 1/2) = 1 inch
Volume of box = lbh
= 7.5* 1.5 *1
= 11.25 cubic inches
I got one question wrong on a test, but my grade was 96%. Why is 24/25 96% and not 99% if I only got one thing wrong?
Answer:
Cause if u multiply 24/25 x 4 u get 96 and 100 not 99 and 100
Step-by-step explanation:
Answer:
Step-by-step explanation:
x : 100 = 24: 25
x = (24 x 100)/25 = 96%
what would happen to a mounthly payment if the interest rate decreased
What is the payment you start with?
The measure of an angle is 39°. What is the measure of its complementary angle?
Answer:
51 degrees
Step-by-step explanation:
Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).
90 - 39 = 51
Answer:
51°Step-by-step explanation:
Complementary angles add to 90°.If one of them is 39°, then the other is:
90° - 39° = 51°Avery is going to invest $270 and leave it in an account for 20 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Avery to end up with $600?
Answer:
50
Step-by-step explanation:
hhh
Answer:
3.99%
Step-by-step explanation:
HELP!!! Will give brainliest:) What shapes have all sides that are congruent?
Answer:
A square has all sides congruent. SIDE A, B, C and D would be congruent in size to one another, and the angles would also be equal to one another. However, most any polygon can be drawn with all sides and angles equal. For instance, an equilateral triangle has all sides and all angles equal, and that is the definition of a polygon. Polygons with more sides are described as "regular" e.g., a stop sign or an equilateral octagon is also a shape that has all sides congruent. A rectangle, however, would not, since only two sides would be congruent to one another.
( I hope this was helpful) >;D
Q. A dice shows the numbers 1 through 12, with one number showing each time the die is rolled. What is the probability of rolling a 7?
Answer:
1/12
Step-by-step explanation:
The total number is 12 (assuming the dice would be rolled 12 times) 7 is a number in the range and it will appear once in the 12 rolls because each number shows each time. 1 (how many times 7 will show)/ 12(total number of rolls)
Probability of [tex]7[/tex] when a dice (showing numbers 1 throught 7) is thrown is equal to [tex]\boldsymbol{\frac{7}{12}}[/tex] as a dice is rolled.
Define probability.Probability refers to chances of occurrence of any event.
Value of probability lies in the interval [tex]\boldsymbol{\left [ 0,1 \right ]}[/tex]
Total number of numbers on a dice [tex]=12[/tex]
Probability is equal to number of favorable outcomes divided by the total number of outcomes.
Probability of [tex]7=\frac{7}{12}[/tex]
Find out more information about probability here:
https://brainly.com/question/11234923?referrer=searchResults
Help...Need the answer right away
Answer:
45 cm
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
b = 3 + 2 = 5
A = 1/2(5)(6)
A = 15
Area of a rectangle:
A = bh
A = 12*2.5
A = 30
Combined:
30 + 15 = 45
The sailboat has 2 right angle triangles and a rectangle
First lets find the area of the rectangle then each one of the triangles
Area of rectangle = Length × Height
Area of rectangle = 12 × 2.5
Area of rectangle = 30 cm²
Now lets find the area of triangle on the right,
Area of triangle = Height × base × [tex]\frac{1}{2}[/tex]
Area of triangle = 6 × 3 × [tex]\frac{1}{2}[/tex]
Area of triangle = 18 × [tex]\frac{1}{2}[/tex]
Area of triangle = [tex]\frac{18}{2}[/tex]
Area of triangle = 9 cm²
Now lets find the area of the triangle on the left,
Area of triangle = Height × base × [tex]\frac{1}{2}[/tex]
Area of triangle = 6 × 2 × [tex]\frac{1}{2}[/tex]
Area of triangle = 12 × [tex]\frac{1}{2}[/tex]
Area of triangle = [tex]\frac{12}{2}[/tex]
Area of triangle = 6 cm²
Now lets find the total area of the sailboat,
Total area = Area of rectangle + Area of triangle on the right + Area of triangle on the right
Total area = 30 + 9 + 6
Total area = 39 + 6
Total area = 65 cm²
Therefore the total area of the sailboat is 65 cm²
Happy to help :)
If you need anymore help, feel free to ask
need help ASAP !!!
[tex] \sqrt{18 \times 18 \times 4} [/tex]
Answer:
36
Step-by-step explanation:
The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.
18 × 18 × 4 = 1296
Now, you are going to find the square root of 1296.
[tex]\sqrt{1296}[/tex] = 36
You now have your final answer.
I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]
Answer:
Step-by-step explanation:
[tex]\sqrt{18(18)(4)}\\ \\ \sqrt{2(3^2)2(3^2)2^2}\\ \\ \sqrt{2^4(3^4)}\\ \\ 2^2(3^2)\\ \\ 4(9)\\ \\ 36[/tex]
Help me please !!!!!!!!
Step-by-step explanation:
[tex] \tan(45) = \frac{x}{13} \\ 1 = \frac{x}{13} \\ x = 13[/tex]
[tex] \cos(45) = \frac{13}{y} \\ 2 \sqrt{2} = \frac{13}{y} \\ 2y \sqrt{2} = 13 \\ y = \frac{13}{2 \sqrt{2} } [/tex]
Simplifying Radicals
in simplest radical form
Ra...
a.
v-117
b. V12 - 27 + 2 V3
c.
V3 * 142
Answer:
Step-by-step explanation:
2t-3=9-4t
Anyone know it.??
Answer:
Step-by-step explanation:
2t−3=9−4
2−3=−4+9
=2
The three interior angle measures of this triangle are x= ___, y= ___, and z= ___.
Answer:
∡x = 30°
∡y = 70°
∡z = 80°
Step-by-step explanation: