For the square root of a number to be a whole number, we would need to have a perfect square. 14 is given to us, so to find the missing number, all we have to do is square 14 (or multiply it by itself).
14 x 14 = 196
The missing number is 196.
Hope this helps! :)
10. Charlie biked 15 minutes home from school and then walked 12 minutes to the pizza place near his house. This trip was 3.6 miles in total. His rate on his bike is 3 miles per hour less than 5 times his walking rate. In miles per hour, what is Charlie’s speed as he walks and what is his speed as he bikes?
Answer:
3mph and 12mph
Step-by-step explanation:
GIVEN: Charlie biked [tex]15[/tex] minutes home from school and then walked [tex]12[/tex] minutes to the pizza place near his house. This trip was [tex]3.6[/tex] miles in total. His rate on his bike is [tex]3[/tex] miles per hour less than [tex]5[/tex] times his walking rate. In miles per hour.
TO FIND: Charlie’s speed as he walks and his speed as he bikes.
SOLUTION:
Let speed of charlie when he walks be [tex]x\text{ mph}[/tex]
Then speed of charlie as he biked [tex]=5x-3\text{ mph}[/tex]
Total length of trip [tex]=3.6\text{ miles}[/tex]
Total time taken[tex]=27\text{ minutes}=\frac{27}{60}\text{ hour}=\frac{9}{20}\text{hour}[/tex]
Now,
[tex]\text{Distance}=\text{speed}\times\text{time}[/tex]
distance traveled on bike [tex]=(5x-3)\times\frac{15}{60}=\frac{(5x-3)}{4}[/tex]
distance traveled by walking [tex]=x\times\frac{12}{60}=\frac{x}{5}[/tex]
As, [tex]\frac{(5x-3)}{4}+\frac{x}{5}=3.6[/tex]
[tex]\frac{29x-15}{20}=3.6\implies 29x=87[/tex]
[tex]\implies x=3\text{ mph}[/tex]
Speed of Charlie on bike [tex]=5x-3=12\text{ mph}[/tex]
Hence speed of charlie on bike and by walking is 12mph and 3mph respectively
PLEASE HELP TUME LIMIT IS 10 MINUTES
Answer:
similar and congruent
Step-by-step explanation:
those are the only words i know
Answer:
congruent and similar
Step-by-step explanation:
Question 6
In a box of 11 parts, 4 of the parts are defective. Two parts are selected at random without replacement.
Find the probability that both parts are defective.
The probability that both parts are defective is 6/55
Step-by-step explanation:
Defective parts = 4
Total parts = 11
Probability of getting a defective part = 4/11
Probability of getting defective part 2nd time = 3/10
Total probability of getting defective part both the times = (4/11) (3/10)
= (12/110)
= (6/55)
The probability that both parts are defective is 6/55
A gardener is planting two types of trees:
Type A is 10 feet tall and grows at a rate of 21 inches per year.
Type B is 7 feet tall and grows at a rate of 25 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the
same height.
9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.
Step-by-step explanation:
The given is,
Type A is 10 feet tall and grows at a rate of 21 inches per year
Type B is 7 feet tall and grows at a rate of 25 inches per year
Step:1
Convert the rate of grows of tree inch to feet,
For Tree A,
Rate of grow, A = 21 inches per year
= 21 × 0.0833333 ( 1 inch = 0.0833333 feet)
= 1.75 feet per year
For Tree B,
Rate of grow, B = 25 inches per year
= 25 × 0.0833333 ( 1 inch = 0.0833333 feet)
= 2.08333 feet per year
Step:2
Difference in the tall of Tree A & B,
= 10 - 7
= 3 feet
Difference in the rate of grow of tree A & B,
= 2.08333 - 1.75
= 0.3333325 feet per year
Step:3
Year take to both trees are same height,
[tex]= \frac{Difference in the height of tree A & B}{Difference in the rate of grows of A & B}[/tex]
[tex]= \frac{3}{0.3333325}[/tex]
[tex]= 9.00[/tex]
= 9 years
Step:4
Check for solution,
Height of tree = Height of Tree + (Rate of grow × Years)
For A,
= 10 + ( 1.75 × 9 )
= 25.75 feet.........................................(1)
For B,
= 7 + ( 2.08333 × 9 )
= 25.74999
≅ 25.75 feet.....................................(2)
From Equation (1) and (2),
25.75 feet = 25.75 feet
Result:
9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.
What is the sum 2 2/3 + 1 1/2?
Answer:
4 1/6, 25/6, 4.167
Step-by-step explanation:
I'm dumb
Answer:
ok i will give the decimal and the fraction
deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6
Step-by-step explanation:
hopefully my answer helps
Can anyone help me find answers to these pages? There are 10 pages of this but I can't link them all.
Answer:
First page:
Calculate the surface area of shapes using two-dimensional nets.
Calculate the surface area of prisms by adding up the sides of each face.
(For the table use your glossary)
Second page:
1.) 6
2.) 7
3.)51
Can someone plz help me with this hint it’s not D plz someone help me I’m not sure I understand this
Answer:
The answer is C, or 3/5.
Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
Yes No
b. Is 6.5 a solution of 12x < 78?
Yes No
c. Is -7 a solution of 9x > 45?
Yes No
d. Is 17 a solution of 15 - X2-2? o Yes No
e. Is 6 a solution of x + 12 > 18?
Yes No
The answer is below!
Q: Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
b. Is 6.5 a solution of 12x < 78?
c. Is -7 a solution of 9x > 45?
d. Is 17 a solution of 15 - X2-2?
e. Is 6 a solution of x + 12 > 18
Answer :
No
No
Yes
No
No
this is 23 points please help me or i’m gonna fail
Answer:
A
Step-by-step explanation:
Two similar triangles are shown on the coordinate grid: A coordinate plane is shown. Triangle ABC has vertices A at negative 3 comma 2, B at negative 1 comma 0, and C at negative 2 comma negative 1. Triangle A prime B prime C prime has vertices A prime at 6 comma 4, B prime at 2 comma 0, and C prime at 4 comma negative 2. Which set of transformations has been performed on triangle ABC to form triangle A’B’C’?
Answer:
i will go with c
Step-by-step explanation:
If f(x)=3x-9, what is the value of f(-8)
1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x and you're left with 1/3x
Which expressions are equivalent to 5(-2k-3)+2k
Choose all answers that apply:
(Choice A)
A
(-5*3)-8k
(Choice B)
B
-15
(Choice C)
C
None of the above
Answer:
A would be the correct one
Step-by-step explanation:
Answer: the correct answer is A
Step-by-step explanation:
260 years equals:
O
A. 2 centuries, o decades
O
B. 26 centuries, o decades
O
c. 26 centuries, 60 decades
OD. 2 centuries, 6 decades
O
E. 2 centuries, 60 decades
is 0.3π rational or irrational
Answer:
irrational
Step-by-step explanation:
Answer:
0.3π is a irrational number.
Step-by-step explanation:
Hope this helps! :)
If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours.
x f(x)
1 3,000
2 9,000
3 27,000
4 _[blank]_
Answer:
81,000
Step-by-step explanation:
1 1,000x3= 3,000
2 3,000x3= 9,000
3 9,000x3= 27,000
4 27,000x3= 81,000
The number of bacteria on your phone after 4 hours is 81,000.
Explanation:To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.
Calculating this, we get f(4) = 1,000 * 81 = 81,000.
A rectangle has an area of 80cm squared and a perimeter of 48cm find the length and width of the rectangle
2 possible solutions.
When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Perimeter of the rectangle = 48 cm. Find expression for length.Perimeter of the rectangle = 2(length + width)
48 = 2(length + x)
24 = length + x
⇒ Length = 24 - x
Step 2: Find the dimensions if area = 80 cmArea of the rectangle = length × width
80 = x (24 - x)
80 = 24x - x²
x² - 24x + 80 = 0
x² - 20x - 4x + 80 = 0
x(x - 20) - 4(x - 20) = 0
(x - 4)(x - 20) = 0
⇒ x = 4, 20
24 - x = 20, 4
So there are two possible answers.
When width is 4 cm, length is 20 cm
When width is 20 cm, length is 4 cm
What is the surface area of the triangular prism shown below
???
Given:
Given that the base of the triangle is 4 cm.
The height of the triangle is 3 cm.
The height of the prism is 8 cm.
The other side of the triangle is 5 cm.
We need to determine the surface area of the triangular prism.
Surface area of the triangular prism:
The surface area of the triangular prism can be determined using the formula,
[tex]SA=bh+(s_1+s_2+s_3)H[/tex]
where b is the base of the triangle,
h is the height of the triangle,
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 4, h = 3, s₁ = 4, s₂ = 3, s₃ = 5 and H = 8, we get;
[tex]SA=(4)(3)+(4+3+5)(8)[/tex]
[tex]SA=12+(12)(8)[/tex]
[tex]SA=12+96[/tex]
[tex]SA=108 \ cm^2[/tex]
Thus, the surface area of the triangular prism is 108 square cm.
Answer:
Step-by-step explanation:
15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of
3 inches. If the scale is 0.5 inch : 10 feet, what is the actual width of the field?
A. 6 feet
B. 15 feet
C. 30 feet
D. 60 feet
Ten students on student council are running for president, vice president, and
secretary. How many different permutations are there for the 3 positions?
Answer:
Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.
Final answer:
There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.
Explanation:
The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.
This is a classic permutation problem in which order matters.
To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as
n! / (n-r)!
where
'!' denotes factorial.
For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:
10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.
Therefore, there are 720 different permutations available for the three positions on the student council.
Britney can buy daffodil bulbs in packages of 3 for $3.33 or in packages of 2 for $2.68. How much money does she save by buying 12 bulbs at the better price?
WILL GIVE BRAINLIST!!!!! :))
Answer:
The better but is 3 for $3.33
12 for $13.32
Step-by-step explanation:
3.33/3 = 1.11
2.68/2 = 1.34
The better buy is 3 for $3.33
1.11 x 12 = 13.32
1.34 x 12 = 16.08
What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot
√120 / √30 = √(120/30) = √4 = 2
Answer:
A
Step-by-step explanation:
It's A I got it right on Edge
Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive?
Answer:
1/16
Step-by-step explanation:
Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!
Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.
Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:
[tex]\[ y = x - 10 \][/tex]
In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:
[tex]\[ y = \frac{x}{4} + 5 \][/tex]
In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
For more questions on linear relationships, click on:
https://brainly.com/question/30373083
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The probable question may be:
Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.
What is 7 divided by 588
Answer:
84
Step-by-step explanation:
7 go's in to 58 8 time's bring the 8 down
you get 28 4 x 7 is 28 so it is 84
Find the range of each data set.
Answer:
set one 11
set two 208
set to has a wider spread of data
Step-by-step explanation:
Answer:
11 for question number 1.
208 for question number 2.
Step-by-step explanation:
1. Range: 12 - 1 = 11
2. Range: 230 - 22 = 208
What is the image of (5,-8)(5,−8) after a reflection over the x-axis?
Answer:
(5,8)
Step-by-step explanation:
(x,y) --> (x,-y)
The image of the point (5, -8) after a reflection over the x-axis is (5, 8).
When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).
Here's the step-by-step process:
Keep the x-coordinate the same (x remains 5).
Change the sign of the y-coordinate (-y becomes 8).
Combine the new coordinates to get the reflected point (5, 8).
Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).
10. A circle has an arc with measure 80° and length 887. What is the
diameter of the circle?
Find the mode for the image below
Answer:
7
Step-by-step explanation:
Mode is the number that repeats the most
7 is repeating the most
The mode for the given bar image shown is: 7
How to find the mode of the dataset?In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.
From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.
Read more about Dataset Mode at: https://brainly.com/question/27358262
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What is the y-intercept of y = 50 - 1?
Answer:
49 or -1
Step-by-step explanation:
(im going to assume you meant y=50-1 and not y=50x-1)
The intercept would literally be 49 since 50-1=49
y=50x-1 would mean the y intercept is -1
Answer:
the y intercept is (0,49) Plz give branliest i need to level up
Step-by-step explanation:
50 - 1 = 49
y always equals 49
so the y axis is at x coordinate 0 and y intercept is at the y axis
so the point is (0,49)
Anyone can help me with this?