slope = - 3/2; passes through (-4, 7)
Answer:
[tex]y=-\frac{3}{2}x+1[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is:
[tex]y=mx+b[/tex]
Each variable represents:
"y" - y coordinate for any point on the line
"m" - slope of the line
"x" - x coordinate for any point on the line
"b" - y-intercept of the line (where the line intercepts the y-axis)
Given:
Slope = -3/2
Passes through (-4, 7) --> x = -4, y=7
Find:
y-intercept
Let's substitute the given information into the equation:
[tex]y=mx+b\\7=-\frac{3}{2}(-4)+b\\7=-\frac{-12}{2}+b\\7=-(-6)+b\\7=6+b\\$Subtract 6 from both sides\\$b=1[/tex]
Therefore the final equation is:
[tex]y=-\frac{3}{2}x+1[/tex]
Exponential functions
Answer: -15^2
Step-by-step explanation: It goes down by -225 every time so the exponent form would be -15^2. Just keep on subtracting 225 every number. Add 225 for the 0x only.
There are 7 people and they each want 5 cookies each box has 12 cookies how many boxes of cookies should they buy
Answer:
3
Step-by-step explanation:
They should by 3 because 7 people want 5 cookies so in total amount they need 35 cookies.
Each box has 12 cookies meaning if they buy 3 they get 36 cookies so they reach the total amount they need and they get 1 extra.
So answer is 3
____
Hope it helps have a great afternoon:)
Marina has a bag of lemon, watermelon, and strawberry candies. She is going to choose one candy from the bag. The probability of choosing a strawberry candy is 1/5. There are 16 lemon candies and 8 watermelon candies in the bag. How many strawberry candies are in the bag?
Answer:
There are 6 strawberry candies
Step-by-step explanation:
HELP HURRY I NEED THiS NOW
Alexia ran three laps around her neighborhood each lap isn’t 1 3/8 miles
What’s the best estimate of the number of miles alexia ran!!!!!?!?!?!?!?!?!,
HELP!?!!!?!?!
Im going to assume you meant each lap *Is* 1 3/8 miles.
Answer:
4 1/8
Step-by-step explanation:
If you take 1 and multiply by 3, you get 3. Pretty simple. When you multiply 3/8 by 3, its also easy. You just multiply the top number. 3 times 3=9. So, you have 9/8. And when your top number is equal or greater than your bottom number its more than a whole. So, you have 1 1/8. Then you add the 1 to the 3, and you get 4, you have 1/8 left over, so your answer is 4 1/8
11. On a math exam, two students scored 95, five students scored 87,
three students scored 73, four students scored 63, and one student
scored 40. What was the class average?
Answer:
About 76%.
Step-by-step explanation:
To find the average of numbers, you add all of the numbers together and divide the total by the number of numbers. In this case, your numbers would be 95 twice, 87 five times, 73 three times, 63 four times, and 40 once. The total number of numbers is 15, and the total of all of the exam scores if you add them up is 1136. Finally, you would divide 1136 by 15, which would be 75.7333333, which would be an average of about 76%.
please I need help
A man spent two fifth of his salary on rent ,one-quater on food and one-eight on transport.What fraction does he have left? (a)³¹/40 (b)²³/⁴ (c)²¹/⁴⁰ (d)⁹/⁴⁰
Answer:
Hi! You just have to take his salary as a unity (one) and substract the fractions you are given. For example; lets say you have a cake (one) and then you eat 1/8 of it. You would be left with [tex]1-\frac{1}8}[/tex] of the original cake.
Step-by-step explanation:
Salary: [tex]1[/tex]
Spent [tex]\frac{2}{5}[/tex] : [tex]1-\frac{2}{5}[/tex]
Spent [tex]\frac{1}{4}[/tex]: [tex]1-\frac{2}{5} -\frac{1}{4}[/tex]
Spent [tex]\frac{1}{8}[/tex]: [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]
REMAINING: [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]
Operate using LCM: [tex]\frac{40-16-10-5}{40} = \frac{9}{40}[/tex]
The answer is (d)
Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard. Considering this data, how many of the next 90 men who walk by should Bryan expect to have a beard?
Answer:
27
Step-by-step explanation:
every 30 men = 9 men with beards
you have 30 3 times in 90 so you get 27
60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
3×9=27
Answer:
27 is correct
Step-by-step explanation:
18 out of the last 60 men who walked by had a beard.
based on the given condition formulate
[tex]\boxed{\frac{18}{60}=\frac{x}{90} }[/tex]
[tex]\boxed{60x=18(90)}[/tex]
[tex]\boxed{\frac{18~x~90}{60} }[/tex]
[tex]\boxed{x=27}[/tex]
Another way to solve↓60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
how many of the next 90 men who walk by
you have 30 × 3 = 90 so you get 27
3 × 9 = 27
Therefore the correct answer is 27
Hope this helps!
if you have any queries please ask.
What is LN equal to?
Since triangle LKJ is similar to triangle LNM,
we know that JK / MN = LK / LN.
JK = 40
MN = 25
LK = LN + KN = LN + 12
LN = ?
Sub these values in and solve for LN...
40 / 25 = (LN + 12) / LN
Simplifying and distributing...
1.6 = 1 + 12 / LN
Subtracting 1 from on both sides...
0.6 = 12 / LN
Multiplying both sides by LN...
0.6 * LN = 12
Dividing both sides by 0.6...
LN = 20
*
Which expression means the same as the quotient of 10 and 5?
*please help*
Answer:
10 divided by 5
Find the area of a square with sides of length 1/3 yard. please help fast!
A. 1/3 sq yd
B. 14 sq yd
C. 1/9 sq yd
D. 2/9 sq yd
Answer:
The answer is 1/9 square yard. I hope this helps!
Answer: C. 1/9 sq yd
Step-by-step explanation:
To find the area of a square, you do the side length squared. (1/3)^2 is the same as (1/3) * (1/3). Multiply the numerators together to get 1 * 1 = 1 and the denominators to get 3 * 3 = 9. This gives you 1/9.
does anybody answer ed galaxy questions I don't understand this
Answer:
A. 25.6 ft
B. 28.2 ft
Step-by-step explanation:
The triangle inequality tells you the length of any side of a triangle lies between the sum and difference of the lengths of the other two sides:
43.7 -30.7 < ? < 43.7 +30.7
13.0 < ? < 74.4
Only two answer choices fall within that range:
25.6 ft, 28.2 ft
What is the equation of this line?
y=1/2x
y= -1/2x
y=-2x
y=2x
Answer:
d
Step-by-step explanation:
up 2 right 1
Answer:
y=1/2x
Step-by-step explanation:
I need help A circle has a radius of 4. 6 centimeters. What is the approximate
area of the circle. Use 3. 14 for pi
Answer:
66.4424
Step-by-step explanation:
This is because r^2*3.14
Does anyone know the answer to number 3?
Step-by-step explanation:
This is geogebra app which graphs the equations...
I hope you understand...
4. Xavier has a rectangular piece of card. He cuts off the four corners.
What do the angles of the remaining shape add up to?
Answer:
1080°
Step-by-step explanation:
the rectangle has 4 sides and 4 angles of 90° angles; when the corners are cut, there are now 8 sides and 8 angles, aka an octogon, which has the total angles of 1080°
SOME PLEASE HELP PLEASE LOTS OF POINTS
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won: The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
Answer:
Part A; Y - intercept = 4 matches,
Part B; y = 2x + 4
Part C; 30 Matches Won
Step-by-step explanation:
13 months is represented by the x - axis, so let us
plug it into the equation that we formulated and
solve for y, the number of matches one;
Translate the following equation into a verbal sentence. x(7-5y)=x/2
Answer:
X times 7-5y equals x/2
Write 9X9 as a power.
Answer:
9²
Step-by-step explanation:
9 · 9 = 81
9² = 9 ·9
The expression 9X9 as a power is 9².
What is Number system?A number system is defined as a system of writing to express numbers.
We have to write 9X9 as a power.
Nine cross nine as power.
We know that nine is multiplied with nine we get eight one.
9×9=81
Here we used the operation multiplication.
Multiplication is a method of finding the product of two or more numbers
When two number with same base are multiplied then the powers will be added.
9×9
9¹⁺¹=9²
Hence, the expression 9X9 as a power is 9².
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Danielle sold a certain number of tickets to the school play, d. Sara sold 4 more tickets to the school play than the number Danielle sold. Brett sold 3 times as many as Danielle sold. The number of tickets that the 3 students sold altogether can be represented by the expression below. d+d+4+3d
Answer:
5d+4
Step-by-step explanation:
Number of ticket sold by Daniel = d .... 1
If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2
If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3
The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;
d+(d+4)+3d
Collect like terms
= d+d+3d+4
= 2d+3d+4
= 5d+4
Hence the number of tickets that the 3 students sold altogether is represented as 5d+4
Answer:
5d+4
Step-by-step explanation:
Have a good day
Which value is solution to be the inequality 2x-3 < -9
Answer: x < -3
Step-by-step explanation:
i need answer please
Answer:
60°
Step-by-step explanation:
Given:
QP and QR are tangent segments
∠PCR = 120°
Find:
∠PQR
Tangent lines always intersect a circle at one point. This means that the line from the center of the circle to the point of intersection would be the radius. This also means that the tangent line is perpendicular to the radius of the circle.
Therefore...
∠CPQ=90°
∠CRQ=90°
Using the diagram, we can conclude that Figure CPQR is a quadrilateral. We need to find the sum of the interior angles of the Figure CPQR.
The formula to find the sum of the interior angles of a figure is...
[tex](n-2)\times180[/tex]
Note that n represents the amount of sides the figure has.
In this case Figure CPQR has 4 sides therefore...
[tex](4-2)\times180=2\times180=360^{\circ}[/tex]
Now let's set up an equation to find ∠PQR...
∠PCR + ∠CPQ + ∠CRQ + ∠PQR = 360°
Substitute the measures of the known angles into the equation:
120° + 90° + 90° + ∠PQR = 360°
120° + 180° + ∠PQR = 360°
300° + ∠PQR = 360°
Subtract 300° from both sides
∠PQR = 60°
I need to know the answer
Answer:
[tex]18+0.08B\geq 75[/tex]
Step-by-step explanation:
there is a flat fee of $18
there is an incremental fee of $0.08 per ball which can be shown as [tex]0.08B[/tex]
so the amount that Carolina will spend would be [tex]18+0.08B[/tex]
the promotion only applies if Carolina spends $75 or more. the greater than or equal to symbol is [tex]\geq[/tex]
so the inequality would be [tex]18+0.08B\geq 75[/tex]
however, we could simplify this to [tex]0.08B\geq 57[/tex] but it is not necessary
Daniel and Sydney are getting high-speed Internet access at the same time. Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month. After how many months will Daniel and Sydney have paid the same amount for high-speed Internet service?
Answer:
5 months
Step-by-step explanation:
Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month
Let x = number of months
Daniel = 60 + 45.95x
Sydney = 0 + 57.95x
Equate both equations
60 + 45.95x = 0 + 57.95x
Collect like terms
60 - 0 =57.95x - 45.95x
60 = 12x
Divide both sides by 12
x = 60 / 12
= 5
x = 5 months
Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months
A Ben & Jerry's Ice Cream factory makes 170 quarts of ice cream in 10 hours. How many quarts will the factory make in 36 hours?
The Ben & Jerry's Ice Cream factory will make
quarts of ice cream in 36 hours.
Answer:
612 quarts
Step-by-step explanation:
First, let's set up this situation into a proportion.
[tex]\frac{170}{10} = \frac{x}{36}[/tex]Now, let's simplify the proportion.
[tex]\frac{170/10}{10/10} = \frac{x}{36}[/tex] [tex]\frac{17}{1} = \frac{x}{36}[/tex]As you can see, we have to multiple one by thirty-six to get to thirty-six. Whatever we do the denominators, we have to do to the numerators. Thus, 17 multiplied by 36 is 612 quarts.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
612 quarts
Step-by-step explanation:
If 170 quarts of ice cream is made in 10 hours. Then, in 1 hour (170/10) = 17 quarts of ice cream are made.
Therefore, in 36 hours (17×36) = 612 quarts of ice cream are made
noww
need help asap now
Answer:
what's the question
Step-by-step explanation:
there is no question written
Antonio ate 9/10 of a pizza
on Monday. On Tuesday,
he ate 3/10 of a pizza. How
much pizza did Antonio eat
on Monday and Tuesday?
Answer:
12/10 of pizza
Step-by-step explanation:
just add 9/10 and 3/10 and get 12/10. He ate 12/10 or 1 1/5 of a pizza
Line m passes through points (-20, 5) and (-4,7). Line n passes through points (-5,5) and (7,4). Are lines m and n perpendicular? Explain.
A. No, the lines are not perpendicular because the product of their slopes does not equal -1.
B. No, the lines are not perpendicular because the product of their slopes equals -1.
C. Yes, the lines are perpendicular because the product of their slopes equals -1.
D. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
Answer:b
Step-by-step explanation: it’s right because it is
pls help!!
find the area of the circles
Answer:
1) 7.069 cm^2
2) 12.567 cm^2
3) 19.635 cm^2
4) 3.142 yd^2
5) 38.485 yd^2
6) 50.266 yd^2
Step-by-step explanation:
This problem is a repetition of the formula Area = [tex]\pi[/tex]*[tex]radius^{2}[/tex]
You are given the diameter of each circle. The radius is 1/2 of the diameter, so, for example circle 1 has a diameter of 3 cm which means the radius is 3/2 cm and the area is A = [tex]\pi * (3 cm /2)^{2}[/tex] = 7.069 cm^2
don't forget your units. Either cm or yd squared
help i need an answrrrrrrr please asap
Answer:
y=[tex]\frac{5}{6}[/tex]x-2
Step-by-step explanation:
Using the formula rise/run I calculated the slope. Then I saw the line passes through the point in the y axis -2. So the equation would be y=5/6x-2