Suppose Jerome reads the following numbers of pages each day. Will he meet his goal of reading at least 85 pages by the end of the day Friday?
Answers
Answer:
Step-by-step explanation:
Jerome has already read 50 pages of a novel and read p pages each day from Monday to Friday.
If Jerome read at least 85 pages by the end of Friday, inequality will be,
50 + 5p ≥ 85
If Jerome reads 6 pages each day,
For p = 6,
Inequality will be,
50 + 5(6) ≥ 85
80 ≥ 85
It's not true.
Therefore, he will not meet his goal.
If p = 7,
Inequality will be,
50 + 5(7) ≥ 85
85 ≥ 85
It's true.
Therefore, he will meet his goal.
If p = 8,
Inequality will be,
50 + 5(8) ≥ 85
90 ≥ 85
It's true.
Therefore, he will meet his goal.
1. Will not
2. Will
3. Will
Related Questions
EQUATIONS AND INEC
Worked examples
a) Solve these simultaneous equation by eliminating by subtraction.
5a + 2b = 16 equation 1
3a + 2b = 12 equation 2
Answers
Answer:
a=2 and b=3
Step-by-step explanation:
5(2) +2(3) = 10 +6 =16
3(2) + 2(3) = 12
23 more than twice a number
Answers
Answer:
2x +23
Step-by-step explanation:
Let the required number be x
Twice of number = 2x
23 more than twice a number = 2x + 23
Answer:
2x + 23
Step-by-step explanation:
Let x be the number
Twice a number = 2x23 more than twice a number = 2x + 23I hope this helps!
Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. How many cups of punch will she have if she uses 6 cups of orange juice?
Answers
Answer: 20
Step-by-step explanation:
From the question, to make the punch recipe, the following are needed:
Ginger Ale - 40%
Orange Juice - 25%
Pineapple juice - 20%
Sorbet - 15%
Since we are told that Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. The the new percent will be:
Ginger Ale - 40% + 5% = 45%
Orange Juice - 25% + 5% = 30%
Pineapple juice - 20% + 5% = 25%
Sorbet - 15% - 15% = 0
To get the total cups of punch that'll be used, let it be represented by y. Therefore,
30% of y = 6
30/100 × y = 6
0.3 × y = 6
0.3y = 6
y = 6/0.3
y = 20
Therefore, she'll have 20 cups of punch.
Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.
Answers
Answer:
P=x(-x+90)Step-by-step explanation:
Step one:
given
Price
[tex]P= -20x^2+1800x[/tex]
where P is the maximum profit
x is the price of one shirt
Step two:
To rewrite the expression let us first divide through by 20
[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]
Factoring x out we have
[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]
Hence the rewritten expression equation for the price is
P=x(-x+90)
Which are are solutions for x^2 + 5x – 1 > 6
Answers
Answer:
it might be b and d
Step-by-step explanation:
Carl's grandfather is exactly 5 times older than Carl.
Which three statements must be true?
Answers
Answer:
g = 5c
5*c = g
g/5 = c
Step-by-step explanation:
g = grandfather
c = carl
Answer:
The age of Carl's grandfather is a composite number.
Carl's age is a factor of the age of his grandfather.
The number 5 is a factor of the age of Carl's grandfather.
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answers
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
Which expression shows the product of 1.5×106 and 12,000?
note the the six is the power for 10
Answers
Answer:
Step-by-step explanation:
3/)038\=8262
WILL MARK brainliset answer if gotten right
Answers
Answer:
Line segment PN
Step-by-step explanation:
in the equation, y = 0.007x, how many inches of rain falls in 6 minutes?
Answers
Answer:
X represents the value you can multiply with the slope to get the answer.
y = 0.007x
= 0.007(6)
= 0.042
Therefore, 0.042 inches of rain falls in 6 minutes.
The radius of a circle is 16.7 in. Find the circumference to the nearest tenth.
Answers
16.7 inches times 3.14 in or pie, equals 52.4 inches, and because you were given the radius and not the diameter, you multiply 52.4 inches by 2 to get 104.9 or 105 inches.
The circumference of the circle is 105 in to the nearest tenth.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We are given that the radius of a circle is 16.7 in.
We need to determine the circumference to the nearest tenth.
Radius r = 16.7
Then circumference of the circle = 2πr
= 2 x 3.14 x 16.7
= 104.87
Therefore, the circumference of the circle is 105.
Learn more about circumference here;
brainly.com/question/12512221
#SPJ2
Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.
Karen ate 5 Fiji apples and dropped 4 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
A) pink lady
B) rome
C) fiji
D) gala
Answers
Answer:
D
Step-by-step explanation:
I hope this help
factor 7x+35 PLEASE HELP
Answers
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
4x-12=12-4x I need help solving Multi Step Equations, which variables on both sides.
Answers
Answer:
x= 3
Step-by-step explanation:
4x+ 4 x= 12 + 12
8x = 24
x= 24/8
x= 3
hey will give brainiest if correct
Answers
3 inches i agree too 2020
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
Answers
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles
PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?
A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.
Answers
Answer:
X=3
Step-by-step explanation:
4x-12+1=1
4x=1-1+12
4x=12
x=12/4
x=3
Answer:
x=3
Step-by-step explanation:
Can someone help explain how I get the answer for this? S=R-rR solve for R
Answers
Answer:
s/(1-r)=R
Step-by-step explanation:
S=R-rR
S=R(1-r)
s/(1-r)=R
Please help me with my homework!!!!
Answers
Answer:
1. m = 5 2. v = -19 3. x = 10
4. x = 3 5. x = 32 6. x = -50
Step-by-step explanation:
My mom told me I know everything :D
The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides
Answers
Answer:
8:4
Step-by-step explanation:
Given that,
The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16
We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.
Let sides are x₁ and x₂. So,
[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]
So, the required ratio is 8:4.
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answers
Answer:
tyuklgfdzrxtiyku,j mncihknbjhtu
Step-by-step explanation:
Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve
Answers
Step-by-step explanation:
If two bags of bird seed are used to fill these three bird feeders, then we can say that;
2 bags of bird seed = 3 bird feeders
To know the amount of bird seed that each feeder use, we will say;
x bags of bird seed = 1 bird feeder
Equating both postulates and solving
2 bags of bird seed = 3 bird feeders
x bags of bird seed = 1 bird feeder
Cross multiply
3 * x = 2 * 1
3x = 2
subtract 2 from both sides
3x - 2 = 2-2
3x - 2 = 0
Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.
Next is to solve for x;
3x - 2 = 0
3x = 2
x = 2/3
Hence each feeder used 2/3 bird seed
Find the sum by suitable rearrangement 163+432+237+548
Answers
Answer:1380
Step-by-step explanation:
Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?
Answers
1)
You can see that 900 = 9x100.
So you can divide 900 by 9 to get 100.
That means you can also divide 45 by 9 (it’s proportional)
You have 45 for 900, you divide by 9 so you get 5 for 100 -> 5%
Or 2)
(Photo)
It’s a cross-multiplication :
(45 x 100)/900 = 5%
So the interest rate is 5%.
(Sorry if it’s confusing, English isn’t my first language..)
QUESTION OF THE DAY: Judy is recreating a small version of the Statue of Liberty out of clay. The scale for the statue is 3 inches to 100 feet. If the actual height of the statue is 305 feet, what would the height of the model be in inches?
Answers
Answer:
184in
Step-by-step explanation:
Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.
To find approximately 305 feet you must divide 305 by 100.
100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.
One way we can do this is to divide the hight of the Statue by the model height:
305ft 20in = 15.25ft 1in or 184in (12in per foot).
And so for every inch of the model, it represents 15.25 feet.
For 305 it would be
Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answers
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
find 11 expressions using only fives, that equal either 0,1,2,3,4,5,6,7,8,9,10
Answers
Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
5 + 5
5
5/5
5/5 + 5
5/5 + 5/5
5/5 + 5/5 + 5/5
5/5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5 + 5/5
5 - 5
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
What is the largest output achieved by the function? At what x-value is it hit.
Answers
Answer:
f(1) = 4
Step-by-step explanation:
Largest output is 4, when x=1.
5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.
Answers
Answer:
The rule is
x + y ≤ 10
Step-by-step explanation:
Here, we want to write a rule that can help get solutions for the individual work hours
The number of hours for car wash is x while the number of hours for mowing lawns is y
Since he cannot work more than 10 hours, he can still work less than 10 hours
What we just have is that the addition of both working hours must not be over 10
So the rule to write is;
x + y ≤ 10
What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6