Molly has to read for 100 minutes a week. On Monday she read for 20 minutes and on Tuesday she read for 35 minutes. How many more minutes does she have to read this week?
a. 35 minutes
b.40 minutes
c.45 minutes
d.55 minutes
e.65 minutes
You are adding up the quarters and dimes from your piggy bank so you can buy a new book. you have a total of 50 coins that add up to $9.80. how many quarters and how many dimes do you have?
Solve the compound inequality 9x ≤ –27 or 4x ≥ 36.
Answer:
x ≤ – 3 or x ≥ 9.
Step-by-step explanation:
Given : 9x ≤ –27 or 4x ≥ 36.
To find : Solve the compound inequality.
Solution : We have given 9x ≤ –27 or 4x ≥ 36.
For 9x ≤ –27 .
On dividing both sides by 9.
x ≤ – 3.
For , 4x ≥ 36.
On dividing both sides by 4.
x ≥ 9.
We can write x ≤ – 3 or x ≥ 9.
Therefore, x ≤ – 3 or x ≥ 9.
Answer: x <_ -3 or x >_ 9
Step-by-step explanation:
The amount that results when $2,000 is compounded at 8% annually over six years.
Tony misplaced 777 stamps from his collection. He knows that each stamp of his is worth \$0.15$0.15dollar sign, 0, point, 15 and that the total value of them is now only \$5.55$5.55dollar sign, 5, point, 55.
Write an equation to represent the value of his stamp collection in terms of the number of stamps, s, that he had originally, and find the value of s.
Tony misplaced 7 stamps
Each stamp worth = $0.15
Total value of stamp now = $5.55
Let the number of stamps be 's'
Number of stamps now = s - 7 (misplaced 7 stamps)
price (number of stamps now ) = 0.55
0.15 (s - 7) = 5.55
Divide by 0.15 on both sides
s - 7 = 37
Add 7 on both sides
s = 44
Total number of stamps originally he had = 44 stamps
The flu fighters competed against 40 brands in the chicken soup country battle of the bands. The top 15% will complete in the all virus state finals. How many bands will compete in the finals?
Answer: 6 brands will compete in the finals.
Step-by-step explanation:
Given : The flu fighters competed against 40 brands in the chicken soup country battle of the bands.
i.e. The total number of brands = 40
Also, the top 15% will complete in the all virus state finals.
[ We can write 15% as [tex]\dfrac{15}{100}=0.15[/tex] ]
It implies , the number of brands will compete in the finals is given by :-
[tex]0.15\times40=6[/tex]
Therefore, 6 brands will compete in the finals.
How do you draw a skew line?
A(n) ____ consists of equations that state what a value is for one or more base cases and one or more recursive cases.
As the number of people in a sample gets larger, the distribution of means
an angle is double its complement. find the angle and the complement
Answer:
60⁰
Step-by-step explanation:
Angke = x
Complement = 90 - x
Given:
x = 2 (90 - x)
x = 180 - 2x
3x = 180
x = 60⁰
Complement = 30⁰
Students were asked to choose their favorite cafeteria lunch. The results were: pizza, chicken, chicken, taco, taco, pizza, taco, taco, taco, pizza, pizza, burger, burger, pizza and pizza. Which category had the greatest frequency?
Write the quadratic equation whose roots are −6 and 2 , and whose leading coefficient is 5 . (use the letter x to represent the variable.)
The sum of two consecutive even numbers is 38. what is the larger number?
How do you write 760% as a fraction, mixed number, or whole number in simplest form?
Circle oh has a circumference of approximately 250 pi feet what is the approximate length of the diameter
What is the volume in cubic feet of a greenhouse that is 20 feet long, 15 ft wide, and 10 ft high?
Plz help! 2 questions!! A machine is wrapping 18 boxes in 5 minutes. If the machine continues at the same rate, how many boxes will it rap in 25 minutes ? A.38 B.90 C.23 D.72
Chris is making lemonade. The directions say to mix 5 cups of water with 2 scoops of powdered lemonade mix. How many cups of water should he use with 2.5 scoops of fruit mix? A.6 B.6.25 C.6.5 D. 6.75
Please pick one for each.
If theirs 50 questions on a test how many do you have to get wrong to get the lowest grade
Write a two column proof for the following conjecture. Statements and reasons
Given: parallelogram ABCD
Prove:
The image is a rhombus, the left side from top to bottom point is D and C. From the right side is A and B.
Find the quotient.
22x ^2 y ^2 ÷ 11x ^2 y ^2
0
1/2
2
2xy
What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?
Answer:
The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.
Step-by-step explanation:
We are given that a figure of triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).
We have to find the end points of midsegment for triangle RST that is parallel TS
Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.
To find the coordinates of end point of midsegment AB using midpoint formula
Midpoint formula :[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}[/tex]
The coordinate of A
[tex]x=\frac{0+2}{2}[/tex], [tex]y=\frac{0+6}{2}[/tex]
[tex]x_1=0,x_2=2,y_1=6,y_2=0[/tex]
[tex]x=1,y=3[/tex]
The coordinates of A is (1,3).
The coordinates of mid point B
[tex]x=\frac{0+8}{2},y=\frac{0+6}{2}[/tex]
[tex]x_1=0,y_1=6,x_2=8,y_2=0[/tex]
[tex]x=4,y=3[/tex]
The coordinates of midpoint B is (4,3).
Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.
What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?
What statement correctly describes the key features of the graph of f(x) = 4(one half)x + 1 − 3?
A. Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right
B. Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right
C. Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right
D. Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right
Answer: The correct option is B.
Explanation:
The given function is,
[tex]f(x)=4(\frac{1}{2})^{(x+1)} -3[/tex]
Put x=0 to find the y-intercept.
[tex]f(x)=4(\frac{1}{2})^{(0+1)} -3[/tex]
[tex]f(x)=4(\frac{1}{2}) -3[/tex]
[tex]f(x)=2-3[/tex]
[tex]f(x)=-1[/tex]
At x=0 the value of f(x) is -1, therefore the y- intercept is (0,-1).
Since it is an exponential function in the form of,
[tex]g(x)=ma^x+n[/tex]
Where, 0<a<1, so,
[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow -3\text{ as }x\rightarrow \infty[/tex]
Therefore the starts up on the left, gets closer to y = −3 on the right. So the option B is correct.
Answer: the correct answer is B
Step-by-step explanation:
Marianne has 5/8 pound of peas. She cooks 2/3 of those peas for 5 people. If each person is served an equal amount, how much peas did each person get?
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix?
A. 0.16
B. 0.16 (there is a line only above the 6)
C. 0.16 (there is a line above 16)
D. 6
The equivalent decimal for 1/6 which represents the fraction preferred by Ramon's friend is: B. [tex]\mathbf{0.1\overline{6}}[/tex]
Note the following about recurring decimal:
Recurring decimals are decimal numbers having one or more digits that repeat forever.The digit or digits that repeat forever in a decimal number can be denoted by drawing a line over the repeating digits.Thus:
The decimal equivalent of 1/6 = 0.16666..
6 is a repeating digits in the decimal number.
A line would be drawn above only 6 as:
[tex]\mathbf{0.1\overline{6}}[/tex]
In summary, the equivalent decimal for 1/6 which represents the fraction preferred by Ramon's friend is: B. [tex]\mathbf{0.1\overline{6}}[/tex]
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A color printer prints 24 pages in 7 minutes. how many pages does it print per minute?
Final answer:
The color printer prints approximately 3.43 pages per minute. This is calculated by dividing the total number of pages (24) by the total printing time in minutes (7).
Explanation:
To calculate the number of pages a color printer prints per minute, we use the information provided that it prints 24 pages in 7 minutes. The calculation is a simple division problem:
Determine the rate by dividing the total number of pages by the total number of minutes.Pages per minute = Total pages printed ÷ Total minutesPages per minute = 24 pages ÷ 7 minutesCalculate the quotient to find the page rate.Pages per minute ≈ 3.43 pages per minuteTherefore, the printer prints approximately 3.43 pages per minute.
Solve the equation for x. Round your answer to the nearest hundredth.
0.63 = log x
The value of x is:
4.27
Step-by-step explanation:
We have to solve:
logx=0.63
Taking antilog on both sides,we get
x= [tex]10^{0.63}[/tex]
⇒ x=4.2657
Hence, the value of x is:
4.27
(1 pt) a commercial cherry grower estimates from past records that if 49 trees are planted per acre, each tree will yield 33 pounds of cherries for a growing season. each additional tree per acre (up to 20) results in a decrease in yield per tree of 1 pound. how many trees per acre should be planted to maximize yield per acre, and what is the maximum yield?
The larger of two numbers is 2 more than four times the smaller. Their sum is 67. Find the numbers.
The numbers are 13 and 54
What is Linear Equation?
A linear equation is an algebraic equation of the form y = m x + b involving only a constant and a first-order linear term, where m is the slope and b is the y-intercept.
Given data ,
Let the two numbers be x and y , where the smaller number is x and larger number is y
Larger is 2 more than four times the smaller is expressed as
y = 2 + 4 x , be equation 1
The sum of two numbers is expressed as
x + y = 67 , be equation 2
Now we have two equations with two unknown variables
To find x and y , we substitute the value of y in equation 1
y = 67 - x
Therefore ,
67 - x = 2 + 4 x
5 x = 65
Dividing by 5 on both sides , we get
x = 13
Substituting the value of x in equation 2 , we get
y = 67 - 13
y = 54
Hence , the numbers are 13 and 54
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