Answer:
71 /84
answer is not in imporper fraction.
Step-by-step explanation:
fractions need to be changed or converted to equivalent fractions inorder to solve them.
1.Total amount of cherries he bought and he already had in cupboard= 3/7 + 2/3
convert them to equivalent fractions inorder to add them by using LCM of the denominators.Which in this case is 21 (LCM of 7 and 3 is 21)
2. Now the common denominator is 21
change 3/7 to a fraction with 21 as denominator by multiplying the numerator to 3 and denominator also by 3 which will give you 3×3=9/ 7×3=21 or 9/21
note: you have to multiply both numerator and denominator by the same number which is used to convert the denominator to the number given by LCM.
3)Now change the second fractions denominator to 21 by multiplying the denominator 3 by 7 and numerator 2 to 7 :
2×7/3×7 = 14/21
4) Now the fractions have same denominator which means they can be added or subtracted.
5) Total amount of cherries he had= 9/21+14/21 = 23/21
6) The amount of cherries he ate = 1/4
7) Amount of cherries he has now with him after he ate 1/4 from 23/21 = 23/21 - 1/4
8) Again the fractions need to be changed to equivalent fractions inorder to subtract them.So,Take the LCM of the denominators (LCM 21 and 4 is 84).Now change the denominator of each fraction to 84.
9) 23/21 becomes 23× 4/21×4 = 92/84
1/4 becomes 1×21/4×21 = 21/84
now subtract them
92/84 - 21/84 = 71/84
71/84 cannot be properly divided so, 71/84 is the answer.
He has 71/84 pounds of cherries with him.
What are the slope and the y-intercept of the linear function that is represented by the equation Y--103-12
The slope is -10, and the y-intercept is -1.
The slope is -10. and the y-intercept is 1
The slope is -1, and the y-intercept is -10.
The slope is 1, and the y-intercept is -10.
Save and Exit
Answer:
The slope is -10, and the y-intercept is -1.
Step-by-step explanation:
The linear function is [tex]y=-10x-1[/tex].
The general form of a line is [tex]y=mx+c[/tex]
where
m = Slope of the line i.e., change of altitude divided by the change of the horizontal.
c = y intercept of the line i.e., the point where the line intersects the y axis.
Comparing with the given equation we get
[tex]m=-10[/tex] and [tex]c=-1[/tex]
So, the slope is [tex]-10[/tex], and the y-intercept is [tex]-1[/tex].
what is the answer? 2 1/3 + 3 1/3
Answer:
5 2/3
Step-by-step explanation:
You can get the answer by either creating an improper fraction for both fractions, or seperately add it up. 2+3=5 and 1/3 + 1/3 = 2/3
The Akashi bridge in Japan Is about one and 4/9 times as long is the Golden Gate Bridge in San Francisco the Golden Gate bridge is 9000 feet long about how long is the Akashi-Kailua bridge?
The length of the Akashi bridge is 13000 feet.
What is a fraction?A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
Example:
1/2, 4/5.
We have,
Golden Gate Bridge = 9000 feet
Akashi bridge = 1 and 4/9 times as long as Golden Gate Bridge
Here,
1 and 4/9 times can also be written as:
1 4/9 = 13/9 x 9000
or
1 x 9000 + 4/9 x 9000
The length of the Akashi bridge:
= 1 x 9000 + 4/9 x 9000
= 9000 + 4 x 1000
= 9000 + 4000
= 13000 feet
Thus the length of the Akashi bridge is 13000 feet.
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HELP ASAP ILL GIVE BRAINLIST
Answer:
Part A) ΔCGB and ΔPBE are similiar
Part B) They are similar because they are Vertical Angles/Alternate Interior Angles
Part C) Distance from B to E is 125; Distance from P to E is 275.
Step-by-step explanation:
PLZZZ HELP ITS FOR MY FINAL if 7a/8=14 then 12a=
Can anyone find the value of the variables!
Answer:
5) x:-7.5
6) y:7.8
7) a:-11
8) y:1
Step-by-step explanation:
Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???
To show the negative of a square root, a negative sign would have to be placed outside the radical.
Answer:
Step-by-step explanation:
Because √-1 is an imaginary number √-1=i
They are imaginary because there are no same real numbers multiplyed that gives you a negative number
√4 = √2*2 ( +2*+2 =+4)
√4 = √-2*-2 (-2*-2 =+4)
√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)
8) Evaluate the algebraic expression for the value given: 4- 2x; when x =6 2 points
12
16
-8
8
I need to know what transformation the function did .
Help please !
Answer:
i would pick a or d sorry i cant help Step-by-step explanation:
A tube has a radius of 9 inches and a height of 7 inches. What's its approximate volume?
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
750
Step-by-step explanation:
brainliest please
Answer: positive
Step-by-step explanation:
two negatives equals a positive
Select each type of special quadrilateral that can meet the given condition.
Perpendicular Diagonals
Step-by-step explanation:
To find quadrilateral's you need to find shapes with edges.
Quadrilateral's:Square
Rectangle
Isosceles Trapezoid
The shape of quadrilateral ''Kite'' has Perpendicular Diagonals.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The condition is,
''Perpendicular Diagonals''
Now, We know that;
Kite has Perpendicular Diagonals.
Hence, The shape of quadrilateral ''Kite'' has Perpendicular Diagonals.
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What is: 3➗3/4?
Plz Help.
Answer:
4
Step-by-step explanation:
3/3/4
3 * 4/3
4
Hope this helps plz hit the crown :D
Answer:
4
Step-by-step explanation:
3=3/1 (3 as a fraction)
3/1 ÷ 3/4
=3/1 *4/3 --> flip second fraction and turn divide sign to a multiplication sign.
3/1*4/3=12/3
12/3=4/1=4
Which is 6 less than -2?
Answer:
-8
Step-by-step explanation:
-2-6=-8
-2, -3, -4, -5, -6, -7, -8
Use the Distribuitive Property to rewrite and find 4x(25+4)
Answer: 116
Step-by-step explanation:
116 , (4 * 25) + ( 4 * 4 )
4 x (25 + 4)
4 * 25
4 * 4
(4 * 25) + ( 4 * 4 ) = Distributive Property
4 * 25 = 100
4 * 4 = 16
100 + 16 = 116
Answer:
116
Step-by-step explanation:
4 × ( 25 + 4 )
= ( 4 × 25 ) + ( 4 × 4 )
= 100 + 16
= 116
pls mark branliest....
find the perimeter of J(-4,2), K(1,2), L(2,-2) and M(-3,-2)
Answer:
Perimeter = 31.12
Step-by-step explanation:
The perimeter of the shape JKLM will be expressed as;
Perimeter = JK + JL + JM + KL + KM + LM
Using the formula for calculating the distance between two points;
D = √(x2-x1)²+(y2-y1)²
For JK where J(-4,2) and K(1,2)
JK = √(1+4)²+(2-2)²
JK = √5²
JK =√25
JK = 5
For JK where J(-4,2) and L(2,-2)
JL = √(2+4)²+(-2-2)²
JL = √6²+(-4)²
JL =√36+16
JL = √52
For JM where J(-4,2) and M(-3,-2)
JM = √(-3+4)²+(-2-2)²
JM = √1²+(-4)²
JM =√1+16
JM = √17
For KL where K(1,2), L(2,-2)
KL = √(2-1)²+(-2-2)²
KL = √1²+(-4)²
KL =√1+16
KL = √17
For KL where K(1,2), M(-3,-2)
KM = √(-3-1)²+(-2-2)²
KM = √4²+(-4)²
KM = √16+16
KM = √32
KM = 4√2
For KL where L(2,-2) and M(-3,-2)
LM = √(-3-2)²+(-2+2)²
LM = √(-5)²+(0)²
LM = √25
LM = 5
Perimeter = 5 + 4√2 + √17 + √17 + 5 + √52
Perimeter = 10 + 4√2 + 2√17 + √52
Perimeter = 10+5.66+8.25+7.21
Perimeter = 31.12
please help if u can!!
The entry fee to a fun park is $20. Jackson spent a total of 35 at the park. If z represents the number of rides jackson went on, which equation represents the situation and what is the value of z that makes the equation true?
A= 2.50=35
x=14
B= 2.50z=20
x=8
C= 20z+2.50=35
c=2
D= 20+2.50z=35
x=6
Answer: The answer is d.
Step-by-step explanation:
If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6
Which description best describes the graph?
a. Linear increasing
b. Linear decreasing
c. Nonlinear increasing
d. Nonlinear decreasing
I need help please!:D
Answer:
a 80
Step-by-step explanation:
7200 / 90 = 80
........-.--
Emma's family tooka road trip to Niagrara Falls. Emma slept through the last 21% of
the trip. If the total length of the trip was 600 miles, how many miles had they
travelled when Emma fell asleep?
Answer:
the last 126 miles emma slept
Find the derivative of the function. f(x) = (8x − 5)−1 f '(x)
Answer:
x=4
Step-by-step explanation:
PLEASE HELP THX IT WOULD MEAN A LOT :(
Answer:
The prime factorization of 100 is 2 * 2 * 5 * 5.
Step-by-step explanation:
Answer:
100 = 2² × 5²
Step-by-step explanation:
100 = 2 × 2 × 5 × 5
= 2² × 5²
The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000 Select the compound inequality for the area written in terms of x. A 100 ≤ 10+8x ≤ 1,000 B. 100 ≤18x ≤ 1,000 C. 100 ≤ 9x ≤ 1.000 D. 100 ≤20x ≤ 1.000 The solution to the compound inequality is _____ ≤x≤ ________ Are all of your solutions viable? ________
Someone help me on this question, please. I don't understand!!
The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000, the solution is 5 ≤ x ≤ 50 and all the solutions are viable
How to select the compound inequality for the area written in terms of x?The given parameters are
Dimensions = 4x and 5
Area: 100 ≤ A ≤ 1,000
The area is calculated as
A = Product of dimensions
So, we have
A = 4x * 5
Evaluate
A =20x
Substitute A =20x in 100 ≤ A ≤ 1,000
100 ≤ 20x ≤ 1,000
So, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000
Divide through 100 ≤ 20x ≤ 1,000 by 20
5 ≤ x ≤ 50
Hence, the solution is 5 ≤ x ≤ 50 and all the solutions are viable
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4.5 m
10
8
15 m
4.5 m
10 m
Answer:
242.5m2
Step-by-step explanation:
base of triangle=4.5m+4.5m+10m
=19m
area of triangle = 1/2 x 19mx15m
=142.5m2
area of square=10mx10m
=100m2
total area=100m+142.5m
=242.5m2
A manufacturer of fuses claims that with 20% overload, the fuses will blow
in less than 10 minutes on the average. To test this claim, a random sample of 20 of
these fuses was subjected to a 20% overload, and the times it took them to blow had
the mean of 10.4 minutes and a sample standard deviation of 1.6 minutes. It can be
assumed that the data constitute a random sample from a normal population. Do they
tend to support or refute the manufacturer’s claim?
Using the t-distribution, it is found that since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.
What are the hypothesis tested?At the null hypothesis, we test if there is not enough evidence that the mean is less than 10 minutes, that is:
[tex]H_0: \mu \geq 10[/tex]
At the alternative hypothesis, we test is there is enough evidence that the mean is less than 10 minutes, that is:
[tex]H_1: \mu > 10[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 10.4, \mu = 10, s = 1.6, n = 20[/tex]
Hence the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{10.4 - 10}{\frac{1.6}{\sqrt{20}}}[/tex]
t = 1.12.
What is the p-value?Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with t = 1.12 and 20 - 1 = 19 df, the p-value is of 0.8617.
Since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.
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3. Consider the leading term of the polynomial function. What is the end behavior of the graph? (1 point)
2x7-8x6-3x5-3
O The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and up.
O The leading term is 2x7.
Since n is odd and a is positive, the end behavior is down and down.
O The leading term is 2x7.
Since n is odd and a is positive, the end behavior is down and up.
O The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and down.
The end behavior of the graph is since the first end drops and the second rises in this case.
The degree and leading coefficient of a particular polynomial's graph will be used to analyze its final behavior.
The right answer is C: "[tex]2x^{7}[/tex] is the leading phrase. As an is positive and n is odd, the final behavior is down and up."
The general principle to remember is:
The polynomial's two arms move in the same direction if the degree is even, and both ends move upward if the leading coefficient is positive.
Both ends fall if the leading coefficient is negative.
Each end points in a separate directions if the degree is odd.
The first end (the one with the negative values) goes down and the other end goes up if the leading coefficient is positive.
The opposite occurs when the leading coefficient is negative.
This is the polynomial:
p(x)= [tex]2x^{7} -8x^{6} -3x^{5} -3[/tex]
The degree is 7, therefore it is odd, and the leading coefficient is positive, as can be seen (is equal to 2).
The correct response is C since the first end drops and the second rises in this case.
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Niki Brought a patio set on sale for $480 the original price was $850 what was the rate of discount
If Niki Brought a patio set on sale for $480 the original price was $850, then the rate of discount is 43.52%
Given,
The original price = $850
The selling price = $480
We know discount amount is the difference between the original price and selling price
Discount amount = Original price - Selling price
Substitute the values in the equation
Discount amount =850-480
= $370
Then the discount percentage = (Discount amount ÷Original price )×100
Substitute the values in the equation
Discount percentage= [tex](\frac{370}{850})100[/tex]
=43.52%
Hence, if Niki Brought a patio set on sale for $480 the original price was $850, then the rate of discount is 43.52%
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The graph of y= -3× + 4 is
Answer:
2-37
5-83234
23574
29016
PLEASE HELP ILL GIVE 5* AND THANKS
Find the percentage change from the first quantity to the second quantity:
From $75 to $90 ___________
From 40 cm to 60 cm ____________
From 20 gm to 5 gm ____________
From 60 km/h to 45 km/h ____________
From 5 dozen eggs to 100 eggs ____________
Answer:
1) 20% increase
2) 50% increase
3) 75% decrease
4) 25% decrease
5) 66.6667% decrease