all you have to do is add 64 + 45 which equals 109 then subtract from fifty which is b 47
Answer:
x= 47
Step-by-step explanation:
They are biking 3 days
64+45+x where x is the distance on the third day
The total is 156
64+45+x = 156
Combine like terms
109 +x = 156
subtract 109 from each side
109+x-109 = 156-109
x =47
Mr. Glidden is expanding the size of his garden. His new garden will be 3 times as long and 2 times as wide as his original garden. The perimeter of his original garden is 30 feet and the length is 11 feet. What will be the perimeter, in feet of his new garden?
Method One:
Step One: Figure out how long the width is, witch is 19 feet.
Step Two: Multiply 2*19 and 3*11 because it is 2 times as long and three times as wide
Step Three: Add 38+33
The new perimeter will be 71 feet.
The original garden's width is determined to be 4 feet. Upon expanding the garden to triple its length and double its width, the new garden's perimeter is calculated to be 82 feet.
The question is about calculating the perimeter of a new garden based on given dimensions and scale factors for its expansion. The original garden has a perimeter of 30 feet and a length of 11 feet. To find the width, we use the formula for the perimeter of a rectangle, P = 2l + 2w, which gives us 30 = 2(11) + 2w. Solving for w, we find that the width of the original garden is 4 feet.
Given that Mr. Glidden is expanding his garden to be 3 times as long and 2 times as wide, the new dimensions will be 3(11) feet by 2(4) feet, or 33 feet by 8 feet.
Therefore, the new perimeter will be 2(33) + 2(8), which equals 66 + 16, resulting in a new perimeter of 82 feet.
Miguel babysits for 3 hours and earns $15. Which represents the unit rate?
The unit rate is $/Hr. Since the hours are the unit being considered.
To find the unit rate, divide both sides by three
(Let x = hourly rate)
3x = 15
x = 5
Miguel Makes $5 per Hour
Answer:
He Earns 5 Per Hour
Nikita invest 2000 into a bank account with a 4% annual interest rate. In seven years which is the most expensive item she can afford to buy
a) 2,700.
B) 2,500
c) 2,200
D) 3,000
Answer:
The correct option will be: B) 2,500
Step-by-step explanation:
Nikita invest 2000 into a bank account with a 4% annual interest rate.
So, the amount of interest in one year will be: [tex](2000*0.04)= 80[/tex]
and the amount of interest in 7 years will be: [tex](80*7)=560[/tex]
Thus, the total money in her account after 7 years [tex]=(2000+560)=2560[/tex]
So, the most expensive item she can afford to buy will be: 2500
Answer:
The answer is (a mountain bike priced at $2,500) In Plato
Step-by-step explanation:
Write your answer as a mixed number 4 1/3 +5 5/6 - 7 1/8 +29/3
HELP ME PLEASE THANKS SO MUCH !
The answer is C,
200 is the original distance
plus the increasing 5 yards everyday
can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.
[tex]\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}[/tex]
Jeff won a contest play a round golf with Phil. Phil’s final score was -6 but Jeff shot +24.
- write an expression that you could use to find the difference in the scores.
What is the difference in their scores .
Correct answer is: difference in their scores is 30
Solution:-
Given that Jeff won a contest play a round golf with Phil.
And Phil's score was -6 where as Jeff score was 24.
Hence difference in the scores = Higher score - lower score
= 24-(-6) = 30 ( negative of negative will become positive)
Hence difference in their scores is 30.
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels containing 40 coins each, 4 rolls of dimes containing 50 coins each l, and 3 rolls of quarters containing 40 coins each. How much money does he have?
6•50=$3.00 pennies
5•40=$2.00 nickels
50•10=$5.00 dimes
25•40=$10.00 total $20.00
Answer: $63
Step-by-step explanation:
Penny = $0.01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25
Number of pennies = 6(50) = 300
Number of nickels = 5(40)= 200
Number of dimes = 4(50)= 200
Number of quarters = 3(40) = 120
Total amount of money:
300(0.01)+ 200(0.05) + 200(0.1) + 120(0.25) = $63
if y varies directly as X and Y is 48 when X is 6 what is expression can be used to find the value of y when X is to
The expression y = kx can be used to find the value of y when x is given. In this case, the value of y when x is 2 is 16.
Explanation:To find the expression to determine the value of y when x is 2, we need to use the fact that y varies directly as x. This can be represented by the equation y = kx, where k is the constant of variation.
We are given that when x is 6, y is 48. Plugging these values into the equation, we have 48 = k * 6. Solving for k, we find that k = 8.
Now we can use this value of k in our equation to find y when x is 2. Substituting 8 for k and 2 for x, we have y = 8 * 2 = 16. Therefore, the value of y when x is 2 is 16.
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The figure shows two parallel lines KL and NO cut by the transversals KO and LN:
Which statement best explains the relationship between Triangle KLM and Triangle ONM?
Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Answer:
Triangle KLM is congruent to triangle ONM.
Step-by-step explanation:
All three angles of triangles are equal, that is both triangles are congruent.
Please share the figure to show the numbering of angle you are using. So that I can describe you which angle is equal to which one.
Evaluate the expression when a=-3 and b=7 7a-b
There are 4 quarts in a gallon. How many gallons of olive oil did the restaurant use during the week? Please explain and give answer. Thanks in advance.
To find the number of gallons of olive oil used during the week, divide the volume of olive oil used in quarts by 4.
Explanation:To find out how many gallons of olive oil the restaurant used during the week, we need to know the volume of olive oil used and convert it from quarts to gallons. Since there are 4 quarts in a gallon, we can divide the volume of olive oil used by 4 to get the number of gallons. Let's say the restaurant used 20 quarts of olive oil during the week. We divide 20 by 4 to get the answer:
20 quarts ÷ 4 = 5 gallons
Therefore, the restaurant used 5 gallons of olive oil during the week.
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A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has 15 possible toppings, how many different 3-topping combinations can a customers choose?
Question says that a yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. Also the store has 15 possible toppings.
Now we need to find about how many different 3-topping combinations can a customers choose.
To find that we just need to apply combination formula
[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]
which is used to select r items out of n items
we have to find combination of 15 toppings into 3 toppings so we calculate C(15,3) using above formula
[tex]C(15,3)=\frac{15!}{3!(15-3)!}[/tex]
[tex]C(15,3)=\frac{15!}{3!*12!}[/tex]
[tex]C(15,3)=\frac{15*14*13*12!}{3!*12!}[/tex]
[tex]C(15,3)=\frac{15*14*13}{3!}[/tex]
[tex]C(15,3)=\frac{2730}{6}[/tex]
[tex]C(15,3)=455[/tex]
Hence final answer is 455.
Answer:
only 455
Step-by-step explanation:
i have a ? how do you know when its C(n,r) and not P(n,r)
[tex] - 12 + - 33 \leqslant 39[/tex]
The top of a refrigerator has an area of 0.6 m^2. The height of the refrigerator is 180 CM. What volume does the refrigerator occupy in CUBIC METERS?
Note: all measurements of the refrigerator need to be in meters, make sure you have IDENTICAL units.
SHOW WORK PLEASE
THANKS IN ADVANCE! :)
the volume (V ) of a cuboid is V = Ah
where A is the area of the base or top and h is the height
h = 180 cm = 1.8m
V = 0.6 × 1.8 = 1.08 m³
The volume of the refrigerator is calculated by converting its height from centimeters to meters (180 cm = 1.8 m) and then multiplying it by the given area of the top (0.6 m²), resulting in a volume of 1.08 cubic meters.
To calculate the volume of the refrigerator, we need to use the formula for the volume of a rectangular prism, which is Volume = length x width x height. We already have the area of the top of the refrigerator, which is a product of its length and width, and we're given the height. However, firstly we need to ensure that all units are in meters.
Convert the height from centimeters to meters: 180 cm = 1.8 m.
Now, we can calculate the volume: Volume = Area x Height = 0.6 m² x 1.8 m = 1.08 m³.
Therefore, the refrigerator has a volume of 1.08 cubic meters.
Which lettered points in the number line above have absolute value less than three? Show work
What is 4.51 rounded to the nearest whole number ?
5
Rounding to whole number is the same number as it is, tenth means to leave one number after the decimal point, hundredths means to leave two numbers after the decimal point and so on.
can someone help please ?
2. Because it is being reflected across the X axis, the X coordinate would change signs, but the Y coordinate would remain the same sign.
A(-6,-4) would become A'(6,-4)
B(-3,5) would become B'(3,5)
C(1,-1) would become C'(-1,-1)
The answer would be the third choice.
3. Reflected across the Y axis, the X would stay the same sign and the Y would change signs.
P(-2,-4) would become P'(-2,4)
Q(2,-5) would become Q'(2,5)
R(-1,-8) would become R'(-1,8)
The answer would be the second choice.
Which equation can be used to solve the problem?
How many 12-packs of juice boxes contain a total of 84 juice boxes?
Answer:
7
Step-by-step explanation:
Formula
Total Juice boxes(T) = number of packs(n) * amount in each pack(a)
T = n * a
Givens
T = 84
n = ???
a = 12
Solution
T = n * a Substitute givens
84 = 12*n Divide by 12
n = 84 /12
n = 7 Answer number of packs of 12
The scores on a psychology exam were normally distributed with a mean of 57
and a standard deviation of 4. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed?
Answer:
Cutoff for a failing score is 49 and 2.28% students failed.
Step-by-step explanation:
We have been given that scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 4.
2 standard deviation below mean would be,
[tex]57-2(4) =57-8= 49[/tex]
Therefore,Cutoff far a failing score is 49.
Now let us find out the z-score for our given values,
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{49-57}{4}=\frac{-8}{4} =-2[/tex]
Now let us look up the probability from normal distribution table.
[tex]P(z<-2) =0.02275[/tex]
Therefore, percentage of students failed is 2.28%.
In kite WXYZ , m∠XWY=38° and m∠ZYW=15° .
What is m∠WXY ?
Enter your answer in the box.
PLEASEE HELPPP!!!
°
AC = CB, hence ΔABC is isosceles
the base angles 34 and x - 5 are therefore equal
x - 5 = 34 ( add 5 to both sides )
x = 39
and 4y = 180 - ( 2 × 34 ) = 112
4y = 112 ⇒ y = 28
Answer:
x=39° ,y=28°
Step-by-step explanation:
In the given figure
Side AC = Side BC
Hence ΔABC is an isosceles triangle.
⇒∠CAB =∠CBA (∵ angles opposite to equal sides are equal)
⇒ (x - 5)° = 34°
⇒ x = 39
Also in Δ ABC
∠ABC + ∠ACB + ∠CAB = 180°
(∵ Sum of all the interior angles of a triangle)
⇒ 34° + 34° + 4 y = 180°
⇒ 4 y =180°-68°
⇒ y=112°÷ 4
⇒y= 28°
Hence, x = 39° , y = 28°
Five added to 3 times a number is equal to 8 less then 5 times the number
A. 8x +5=4x +3
B. 3x-4= 5x+8
C. 3x+5= 5x -8
D. 4x +3 =8x -5
The answer is C. 3x+5= 5x -8
Bob and Cheryl are taking a road trip that is 188.3 miles. Bob drove 5/7 of the total distance. How many miles did bob drive.
Bob drove 134.5 miles. If you created a comparison between 5/7 and 188.3, do so by using 5/7=x/188.3 . Multiply 7 and x equaling to 7x and 5 with 188.3 to get 941.5 . After that divide 941.5 by 7x, and the answer for x would result in 134.5, the amount he drove
For which value of x is the figure a rectangle?
A. x = 1
B. x = 2.5
C. x equals 6 and two-thirds
D. x = 10
We know that the diagonals of rectangle are congruent and bisect each other. So it means the given measurements would be equal to each other. We can set them equal asn solve for x.
8x + 3 = 4x + 7
Subtracting 3 from both sides;
8x + 3 - 3 = 4x + 7 - 3
8x = 4x + 4
Subtracting 4x from both sides;
8x - 4x = 4x + 4 - 4x
4x = 4
Dividing by 4 on both sides;
4x/4 = 4/4
x = 1
Hence, option A is correct i.e. x = 1.
Answer: x=1
Step-by-step explanation:
Three coins are tossed. find the probability that two land on heads?
When three coins are tossed, the probability of two coins landing on heads is 3/8 or 0.375.
Explanation:In the scenario where three coins are tossed, the total outcomes possible would be 2^3 = 8 (representing Heads/H or Tails/T): HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Out of these, there are three outcomes where exactly two coins show heads (HHT, HTH, THH), and one coin shows tails. Hence, the probability of getting exactly two heads when three coins are tossed is 3 out of 8 or 3/8 = 0.375.
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Ding three consecutive even integers such that the sum of twice the smallest and three times the largest is 42
Answer:
6,8,10
Step-by-step explanation:
Two consecutive even integers would have difference of 2
Hence we can assume the three consecutive integers to be of the form
a-2, a and a+2
Smallest number = a-2 and
Largest number = a+2
Twice the smallest number + 3 times largest number =42 (given)
2(a-2)+3(a+2) = 42
2a-4+3a+6 =42
5a +2 =42
Subtract 2 and then divide by 5
5a = 40 and a = 8
Hence the three numbers are 6,8 and 10
The amount a babysitter earns is given by the equation y=7.5x where x is the number of hours and y is the amount earned in dollars. Is this relationship proportional?
Yes, this relationship is proportional.
Answer:
Yes, the relationship is proportional
Step-by-step explanation:
This is because the number of hours (x) is multiplied by the same number, 7.5, meaning that all of the values will be proportional (create a straight/linear line on a graph when the points are plotted).
Holly
has 25 fish in her aquarium. Tommy has one-fifth the number of fish that Holly has. Jared has three times as many fish as Tommy. If they combine all their fish in the new school aquarium, how many fish would there be in all?
10p-2(3p-6)=4(3p-6)-8p please show work
When the absolute value of the slope gets smaller, the graph of a line gets
_______.could you use?
a. shorter
b.steeper
c.longer
d.less steep
The graph of the line would get less steep.
(APEX approved~)
Answer:
D) Less steep.