Ruth has already written 21 pages, and she expects to write 2 pages for every additional hour spent writing. How many hours will Ruth have to spend writing this week in order to have written a total of 29 pages? Write and solve an equation to find the answer.
Answer: 4 hours
Step-by-step explanation:
21+2x=29
29-21=8/2=4 2x/2
find x. use picture for question
1 point
What is 3V45 expressed in simplest radical form?
a. 615
b. 2715
c. 9/5
d. 515
b
Ο Ο Ο Ο
d
Answer:
The simplest radical form is [tex]9\sqrt{5}[/tex] ⇒ (c)
Step-by-step explanation:
To simplify any square root;
Factorize the number under the root using prime numbersTake out the root any number repeated twice as one numberExamples:
1. Simplify [tex]\sqrt{8}[/tex]
factorize 8 using prime numbers
8 = 2 × 2 × 2, then [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]
Take two of 2 out the root, then [tex]\sqrt{8}=2\sqrt{2}[/tex]
2. Simplify [tex]\sqrt{18}[/tex]
factorize 18 using prime numbers
18 = 2 × 3 × 3, then [tex]\sqrt{18}=\sqrt{(2)(3)(3)}[/tex]
Take the two 3 out the root, then [tex]\sqrt{18}=3\sqrt{2}[/tex]
Let us simplify [tex]3\sqrt{45}[/tex]
∵ 45 = 3 × 3 × 5
∴ [tex]3\sqrt{45}=3\sqrt{(3)(3)(5)}[/tex]
→ Take the two 3 out by one 3
∴ [tex]3\sqrt{45}=3(3)\sqrt{5}[/tex]
→ Multiply the numbers out the root
∴ [tex]3\sqrt{45}=9\sqrt{5}[/tex]
∴ The simplest radical form is [tex]9\sqrt{5}[/tex]
What is the equation of this line?
Answer:
y=4/3x‒4
Step-by-step explanation:
first list the pairs as the following
{(3,0),(0,‒4)}
&prove your answer by substitute the pairs instead of x&y
when we substitute the pairs (3,0)
y=4/3x‒4
0=4/3(3)‒4
0=4‒4
0=0
when we substitute the pairs (0,‒4)
y=4/3x‒4
‒4=4/3(0)‒4
‒4=0-4
‒4=‒4
so i hope my answer helps you
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-8,7), m = 4
Step-by-step explanation:
y-y1=m(x-x1)
y-7=4(x+8)
y-7=4x+32
4x-y=-39
Answer:
y = 4x + 39
Step-by-step explanation:
The line passes through point (-8,7) and;Has a slope (m) = 4Let's take another point (x,y) on the line.
Slope (m) = change in y ÷ change in x
∴ m = [tex]\frac{y - 7}{x - -8} = 4[/tex]
y = 4x + 32 + 7
y = 4x + 39
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x
Answer:
1 cup of flour(x)=16 cookies(y)
Step-by-step explanation:
3 cups of flour=48 cookies
3/3=48/3
1 cup of flour=16 cookies
Evaluate each using the values given. x+z+y; use x = 4, y = 4, and z = 6
Answer:
14
Step-by-step explanation:
x + z + y = ?
First, substitute in x for 4, y for 4, and z for 6
4 + 6 + 4
Add 4 and 6
10 + 4
Add 10 and 4 to get your answer:
14
Answer:
X + y + z= 4 + 4 + 6= 14 . The Answer is 14. I hoped this helpful for you . If you like this answer then mark this answer as BRAINLIEST answer....Thank you ☺️☺️
Please help let me know if these are right.
Answer:
Every one except A is correct. it is 7/8 not 8/7
What is the rate of change of the following equation? 2y + x = -2
Answer:
-1/2
Step-by-step explanation:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f(x)=x2,[2,3]f(x)=x2,[2,3]
−12-12
1/3p+1/2p+7=7/6p+5+4
Answer:
p=−6
Step-by-step explanation:
Let's solve your equation step-by-step.
1/3p+1/2p+7=7/6p+5+4
Step 1: Simplify both sides of the equation.
p)+(5+4)(Combine Like Terms)
Step 2: Subtract 7/6p from both sides.
Step 3: Subtract 7 from both sides.
Step 4: Multiply both sides by 3/(-1).
p=−6
Answer:
Step-by-step explanation:
P=6
HELP HELP HELP HELP HELP HELP PLEASE I BEG U
Answer:
-3.2
Step-by-step explanation:
Do you have to work this out on paper because I just used a calculator but just add 3.1 + -6.3.
i need help who knows the answer to this You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking account. Write an expression in simplest form that represents the total in both accounts.
What is the intersection of the sets C = {5, 7, 10, 13, 19) and D = {3, 9, 14, 15}?
O null set
O (5, 7, 9, 10, 13, 14, 15, 19}
O {5, 9, 14)
O {3, 19)
Answer:
Null/empty set
Step-by-step explanation:
The answer is null because neither Set C and D share the same numbers
HELP ME PLEASE! Determine the slope of the line represented by the graph below.
m= 2
m= -2
m = 1/2
m= -1/2
Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 25 percent, and Seema had a 20 percent off coupon as well. Original price: $56 25% 25% 25% 25% $42 20% 20% 20% 20% 20% $8.40 $8.40 $8.40 $8.40 What was the price of the jeans before tax?
Given :
The original price of the jeans was $56.
The store had marked them down by 25 percent and Seema had a 20 percent off coupon as well.
To Find :
The price of the jeans before tax.
Solution :
Discount offered by store :
Discount = 0.25×56 = $14 .
Selling price = $( 56 - 14 ) = $42 .
Discount offered through coupon on selling price :
Discount = 0.20×42 = $8.4 .
Final price = $( 42 - 8.4 ) = 4= $33.6 .
Therefore, the price of the jeans before tax is $33.6 .
Hence, this is the required solution.
Answer:
33.60
Step-by-step explanation:
Took the quiz
The owner of an art supply store buys tubes of magenta oil paint for $10.80 and marks up the cost by 10% to determine the retail price. The tubes of paint do not sell well, so the owner marks down the retail price by 20%.
To the nearest cent, what is the marked-down price of a tube of magenta oil paint?
Answer:
10.80 - 20 percent equals 8.64
Step-by-step explanation:
Answer: it’s 8.19
Step-by-step explanation:
what is 5 over 8 divided by 4
5/8 divided 4
Answer:
5/32 in fraction form
0.1563 in decimal form.
Step-by-step explanation:
step 1 Address formula, input parameters & values.
Input parameters & values:
5/8 & 4
5/8 ÷ 4= ?
step 2 Multiply 5/8 with reciprocal of 4
=5/8 x1/ 4 =5/32
Thus, 5/32 is equivalent fraction for 5/8 divided by 4
Answer:
0.15625
Step-by-step explanation:
12x+8
8x+12
р
Find the value of x using properties of parallel lines.
A) 1
B) 8
C) 3.5
D) 5
(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?
Answer:
12 hours
Step-by-step explanation:
So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:
5h + 50
to represent how much Jim makes in h hours.
Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:
8h + 14
to represent how much Sarah makes in h hours.
Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:
8h + 14 = 5h + 50
Now solve for h. Subtract 5h from both sides.
3h + 14 = 50
Subtract 14 from both sides.
3h = 36
Divide both sides by 3.
h = 12
So it will take 12 hours for their paychecks to be the same.
I hope you find my answer and explanation to be helpful. Happy studying.
A circular pool has an area of approximately 154 square feet. To the nearest foot, how much fencing is needed to completely surround the pool?
Given parameters:
Area of pool = 154ft²
Unknown:
The circumference or perimeter of the pool = ?
Solution:
The amount of fencing needed for the pool is the same as the circumference of the pool or the perimeter of the pool.
To solve this problem, we need to find the radius from the given area.
Area of a circle = π r²
154 = π r²
r² = [tex]\frac{154}{3.142}[/tex] = 49
r = 7ft
Now the circumference of a circle = 2 π r
= 2 x π x 7
= 44ft
The circumference of the circle is 44ft
sorry if you can’t see clearly BUT PLEASE HELP ME IM TIMED AND MY TEACHER IS GOING TO SUBMIT IT
f students receive 50% profit of $20 for selling one chocolate box in a fundraiser, how much money would they make if they sold 100 products? *
Answer:
the answer is 50$ hope it helps :)
Step-by-step explanation:
5/9 - (-1/6)
Subtract fractions
Answer:
7/18 is what I got.
Step-by-step explanation:
pic below
How would you simplify 3, 999, 999^0
Answer:
4,000,000^0 your welcone
is this relation a function? justify your answer.
please help!
ayo the answer is c.
(i woulda just said tht it doesn't pass the vlt lma.o).
5 liters=______ hectoliter?
Help?
Answer:
.05 hectoliters
Step-by-step explanation:
100 liters = 1 hectoliter
5 liters * 1 hectoliter/ 100 liters = 5/100 hectoliters
Simplify
.05 hectoliters
5 liters= 0.05 hectoliter
Is the answer yes or no that’s all I want to know #Respectfully
Answer:
What your question?
Step-by-step explanation:
Answer:
I think the question is yes
2.4(x - 6) = -5.6x + 8
Let's solve your equation step-by-step
2.4(x-6)=-5.6x+8
Step 1: simplify both sides of the equation
2.4(x-6)=-5.6x+8
(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)
2.4x+-14.4=-5.6x+8
2.4x-14.4=5.6x+8
Step 2: Add 5.6x to both sides.
2.4x-14.4+5.6x=-5.6x+8+5.6x
8x-14.4=8
Step 3:Add 14.4 to both sides
8x-14.4+14.4=8+14.4
8x=22.4
Step 4 : Divide both sides by 8
8x/8 =22.4/8
Answer : x=2.8
M is the midpoint of Segment AB. AM = 8. What is AB?
The table represents a proportional relationship.
x y
11 2
22 4
33 6
The graph represents another proportional relationship.
(Picture)
Which equation represents the lower unit rate of these two relationships?
A. y=2/9x
B. y=1/4x
C. y=1/5x
D. y=2/11
Answer:
the answer is d y=2
_ x
11
Step-by-step explanation:
I got it right on the test
2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11
A proportional relationship between variable y and x can be expressed as:
y = kx
Where,k is the unit rate/constant of proportionality.
Therefore,k = y/x
Thus, find the equation for the table and the graph respectively in order to determine which equation represents the lower unit rate.
Equation for the table using a pair of coordinates, say (11, 2):
Find, unit rate (k) by substituting x = 11, and y = 2 into k = y/x
Thus:k = 2/11
Plug in the value of k = 2/11 into y = kx
The equation for the table is:
y = 2/11x
Equation for the graph using a point on the line, say (9, 2):
Find, unit rate (k) by substituting x = 9, and y = 2 into k = y/x
Thus:k = 2/9
Plug in the value of k = 2/9 into y = kx
The equation for the table is:y = 2/9x
In conclusion, 2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11
Learn more here:
https://brainly.com/question/2548051