Answer:
1. 7/41
2. 7/15
Step-by-step explanation:
1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41
2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15
What’s 2(3+a) if a=2?
Answer:
10.
Step-by-step explanation:
2(3+a)
= 2(3+2)
= 2(5)
= 10
Hope this helped!
An iPhone is on sale for $450. It originally cost $500. What percent off is the sale offering?
Answer:
10% off
Step-by-step explanation:
what is 1 2/5 × 2
what is 1/4 × 1
Answer:
[tex]1).[/tex] [tex]2\frac{4}{5}[/tex]
[tex]2).[/tex] [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1).[/tex] [tex]1\frac{2}{5}*2[/tex]
Convert mixed number to improper fraction: [tex]a\frac{b}{c} =\frac{a*c+b}{c}[/tex]
[tex]1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}[/tex]
[tex]\frac{7}{5} *2[/tex]
[tex]\frac{7}{5} *2[/tex]
Apply the fraction rule: [tex]\frac{a}{b}*c =\frac{a*c}{b}[/tex]
[tex]\frac{7}{5} *2=\frac{7*2}{5}[/tex]
[tex]=\frac{7*2}{5}[/tex]
Multiply the numbers: [tex]7*2=14[/tex]
[tex]=\frac{14}{5}[/tex]
Convert improper fractions to mixed numbers: [tex]\frac{14}{5}[/tex]
[tex]\frac{14}{5}[/tex]
Write the problem in long division format:
[tex]\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Divide [tex]14[/tex] by [tex]5[/tex] to get [tex]2[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient digit [tex](2)[/tex] by the divisor [tex]5[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]10[/tex] from [tex]14[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
The solution for long division of [tex]\frac{14}{5}[/tex] is [tex]2[/tex] with a remainder of [tex]4[/tex]
[tex]2\quad \mathrm{Remainder}\quad \:4[/tex]
Convert to mixed number: [tex]Quotient\frac{Remainder}{Divisor}[/tex]
[tex]\frac{14}{5} =2\frac{4}{5}[/tex]
[tex]=2\frac{4}{5}[/tex]
[tex]2\frac{4}{5}[/tex]
Convert [tex]\frac{4}{5}[/tex] to decimal using long division
[tex]\frac{4}{5}[/tex]
Divide [tex]4[/tex] by [tex]5[/tex] to get [tex]0[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient digit [tex](0)[/tex] by the divisor [tex]5[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]0[/tex] from [tex]4[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Add a decimal place and a zero to the dividend
Bring down the zero from the dividend
[tex]\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Divide [tex]40[/tex] by [tex]5[/tex] to get [tex]8[/tex]
[tex]\frac{40}{5} =8[/tex]
The solution for long division of [tex]\frac{4}{5}[/tex] is [tex]0.8[/tex]
[tex]=2+0.8[/tex]
Add [tex]2+0.8=2.8[/tex]
[tex]2).[/tex] [tex]\frac{1}{4} *1[/tex]
Multiply [tex]\frac{1}{4} *1=\frac{1}{4}[/tex]
[tex]=\frac{1}{4}[/tex]
Anything multiplied by [tex]1[/tex] is the same number.
Divide the the numbers [tex]\frac{1}{4}[/tex] to get decimal form
Divide [tex]1[/tex] by [tex]4[/tex]
[tex]\frac{1}{4} =0.25[/tex]
[tex]=0.25[/tex]
Answer:
12/5x2=25
1/4x1=1/4
Step-by-step explanation:
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$
(x+1)-6(x+1)+8 how to factorise it?
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)
tree+snowman+tree=17
raindeer+raindeer+snowflake=12
raindeer=snowflake
raindeer-3=snowman
then what does tree equal
Answer:
Step-by-step explanation:
Monke
3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2
Determine which of the following relationships is true.
O DE=2AC
Om BCA = 2(m_BED)
O DE = AC
DEI|AC
Answer:
DE is parallel to AC
DE = 2AC
ExplanationIn triangle ABC, BD = AD
BE = EC
D is mid point of AB
E is the mid point of AC
According to the mid point theorem, ( The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”) DE is parallel to AC and equal to half of it
Answer:
For clarification, the answer is DE||AC or in other words, DE is parallel to AC.
can anyone help meeee plssss
Answer:
A. 14 nickles
Step-by-step explanation:
The point-slope form of a line that has a slope of Two-thirds and passes through point (6, 0) is shown below.
y minus 0 = two-thirds (x minus 6)
What is the equation in slope-intercept form?
Answer:
c
Step-by-step explanation:
Multiple Choice
(
52 points 10 points)
Fill in the circle next to the correct answer.
1.
Which fraction has the same value as 3/5 + 1/3
A) 2/15
B) 4/14
C) 1/2
D) 14/15
Answer:
greetings
the answer is D
3/5 = 9/15
1/3 = 5/15
9+5= 14
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
find the common denominator by finding the least common multiple of the two denominators
3/5 * (3) = 9/15
1/3 * (5) = 5/15
add both and u get 14/15
Which fractions are equivalent to 40%? Check all that apply. 100 110 0 200 은 10 10
Answer:
2/5
8/20
4/10
16/40
Step-by-step explanation:
all except the first 1
Step-by-step explanation:
fhdjeueuejejeudi
What are the slope and the y-intercept of the line of best fit on this scatter plot?
A.
The y-intercept is , and the slope is .
B.
The y-intercept is , and the slope is .
C.
The y-intercept is , and the slope is .
D.
The y-intercept is , and the slope is .
Answer:
the y-intercept is 8 and the slope is -4/3 .
Step-by-step explanation:
The y - intercept is (0, 8) and the slope is -4/3
What is the y-intercept?"It is the point at which the graph of the function intersects the y-axis"
What is slope?The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For given example,
We can observe that the line of best fit on this scatter plot passes though points (0, 8) and (6, 0)
Using the slope formula,
⇒ slope = (0 - 8)/(6 - 0)
⇒ slope = (-8)/6
⇒ slope = -4/3
Also, we can observe that the line of best fit on this scatter plot intersects y-axis at point (0, 8)
So, the y - intercept is (0, 8)
Therefore, the y - intercept is (0, 8) and the slope is -4/3
Learn more about slope and y-intercept here:
https://brainly.com/question/12763756
#SPJ2
The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?
A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.
9514 1404 393
Answer:
38.5°
Step-by-step explanation:
A triangle solver can give an answer easily. The angle is 38.5°.
__
The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.
C = arccos((a² +b² -c²)/(2ab))
Here, we have a=35, b=48, c=30, so the angle is ...
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°
The angle the cable makes with the pole is about 38.5°.
If 15 ounces of candy cost $3.75 what is the price per unit
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Subtract the sum of −7 and 13 from the sum of −2 and −9 *
Answer:
-17
Step-by-step explanation:
The sum of -2 and -9 is (-2) + (-9) = -2 - 9 = -11.
The sum of -7 and 13 is 13 - 7 = 6.
Hence, subtracting 6 from -11 would be -11 - 6 = -17.
Hope this helped!
What information can be used to compare linear relationships? Explain why.
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
Given: x + y = 10.
If x = -21, what is y?
Answer:
31.
Step-by-step explanation:
-21 + 31 = 10
x + y = 10
y = 31
What is the value of v in the equation?
V - 7 = 15 + 12
A.21
B.13
C.27
D.34
Answer:
D. 34
Step-by-step explanation:
15+12=27
v-7=27
+7. +7
______
v=34
Hana has some blue paint. She wants to lighten the shade, so she mixes in 1
cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of
white paint at a time. After adding 4 cups, she decides the color is too light.
Answer:
The answer is below
Step-by-step explanation:
Hana has some blue paint. She wants to lighten the shade, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.
How would she express the amount of paint to add to be between too dark and too light.
Solution:
After adding a cup of white paint, the color is still dark, she adds the second cup of paint and the color is still dark. She adds the third cup of paint and the color is still dark but when she adds the fourth cup of white paint, the color became too light.
This means that the amount of paint to add to be between too dark and too light is between the third and fourth cup.
Let w represent the amount of paint to add to be between too dark and too light. Hence:
3 < w < 4
Please help me solve these quadratic equations. Also please show your work simply!!
Answer:
Negative numbers can't have a square root so they are all undefine and so is 7.
Step-by-step explanation:
Solve the system of equations.
y=4x
y = x^2 + 3
A. (-1, -4) and (3, 12)
B. (0, 3) and (1, 4)
C. (1, 4) and (3, 12)
D. (-3, -12) and (-1, -4)
Answer:(1,4) and (3,12)
Step-by-step explanation
Use the information to answer the question.
Liz types at a rate of 25 words per minute. The graph shows the number of words typed over time by 4 other students.
Which student types at the same unit rate of words per minute as Liz?
please help!
Josh drew the rectangle below and then reflected it over C D to form Rectangle A'B'C'D'. He argues that the image of the rectangle will be in the same location as the original rectangle was. His classmate, Raquel, thinks that it wil not be. Who is correct?
Answer: Raquel
Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new
HELPPPP IMA CRYYYYYYYYYY
help meeeee
Answer:
B
Step-by-step explanation:
Your answer is b because when u solve the equation u get that answer.
Hope this helps:)
pls mark brainlist
Answer:
b maybe..?
i am not too sure tho
Which equation is modeled below?
1
11
XX
1
O-X+ 1 = 2x+3
X+(-1)=2x+3
O X+(-1)=3x+2
-2x = 2x+3
Please help
Answer:
your answer is b bud... your welcome....
Step-by-step explanation:
just took the test
The equation that modeled the graph is -x + 1 = 2x + 3.
The correct option is A.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value is referred to as an equation.
As per the information provided, it is given one red rectangular box with '-x' and one small yellow square box with '1' equals 2 green rectangular boxes and 3 yellow square boxes.
The equation in numeric form can be described as:
-1x + 1 = 2g + 3
where:
-1x represents the red rectangular box with '-x'
1 represents the small yellow square box with '1'
2g represents the two green rectangular boxes
3 represents the three yellow square boxes.
Therefore, the equation is -x + 1 = 2x + 3.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ7
Write the sentence as an inequality.
Three times a number w is less than 18.
Answer:
w<6
Step-by-step explanation:
3w/3 <18/3
You divide that and get w<6.
Chip is planning a 1,000 mile trip. His
car's
gas mileage is about 20 miles per
gallon. Gas costs $1.50 per gallon.
About how much will the gas for the
trip cost?
Answer:
$75
Step-by-step explanation:
First divide 1,000 by 20 which gives you 50
Then Multiply 50 by $1.50 to get $75
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].