b-1/4=3 1/2 solve the equation, and check the solution
Answers
Answer:
b = 15/4 = 12/4 + 3/4 = 3 3/4 (in mixed number form)
Step-by-step explanation:
Let's start by converting the mixed number into an improper fraction so we can operate easily in the solving:
3 1.2 = 3 + 1/2 = 6/2 + 1/2 = 7/2
Now we solve the equation:
b - 1/4 = 7/2
add 1.4 to both sides
b = 7/2 + 1/4 = 14/4 + 1/4 = 15/4
Therefore, b = 15/4 = 12/4 + 3/4 = 3 3/4 (in mixed number form)
Related Questions
Points x and y and points C,D,E and f are shown what is true about points
Answers
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
the frame of the tent is defined by a rectangular base and two parabolic arches that connect the opposite corners of the base. The graph of y=-0.18x^2+1.6x models the height can a child who is 4 feet tall walk under without bending over
Answers
The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.
1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.
2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.
3. To find the maximum height, we need to determine the vertex of the parabolic equation.
4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).
5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).
6. Simplifying the expression, we find x = 4.44.
7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.
8. Evaluating the expression, we find y ≈ 4.32.
9. The maximum height of the tent is approximately 4.32 feet.
10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.
11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.
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ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.
Answers
Answer:
NO
Step-by-step explanation:
They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answers
Answer:
57,000
Step-by-step explanation:
(2375*2)*12
not sure what semi monthly is but i assume it’s 2 times every month, times 12 months in a year, boom
hurry log (8)= x+3 in exponential form
Answers
Answer:
x=5
Step-by-step explanation:
why are the factors in your multiplication sentences in a different order
Answers
In multiplication, the order doesn't matter.
2 rows of 7 and 7 rows of 2 is the same.
If you have seven 2's, that's the same as two 7's.
See here:
2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
7 + 7 = 14
Or:
2 * 7 = 7 * 2 = 14
Which number in standard form is equivalent to 90 000 + 700 000 + 40 000 000 + 100 000 000
A) 407 090 000
B) 974 190 000
C) 1 407 900 000
D) 140 790 000
Answers
Answer:
D
Step-by-step explanation:
Standard form is in number form.
For example, the standard form of 12+6 is 18
We need to solve 90,000 + 700,000 + 40,000,000 + 100,000,000 to get the standard form.
\(90000 + 700000 + 40000000 + 100000000 = 140790000\)
The standard form is 140,790,000. So the answer is D.
Hope this helps :)
Have a great day!
Which expression is equal to (6x−4)(3x−1)?
18x2+18x−4
9x2−6x−5
18x2−18x+4
18x2−18x−5
Answers
The equivalent of the given expression (6x−4)(3x−1) is 18x² - 18x + 4.
Hence, option C)18x² - 18x + 4 is the correct answer.
What is the equivalent of the given expression?FOIL Method is simply a method used to multiply binomials where one multiply first terms and then the outside terms, next, inside terms and then last terms, and finally, combine like terms.
Given the expression in the question;
(6x−4)(3x−1)
Expand using FOIL method, apply the distributive property.
(6x−4)(3x−1)
6x( 3x − 1 ) - 4( 3x − 1 )
(6x × 3x ) + ( 6x × -1 ) - ( 4 × 3x ) - ( 4 × -1 )
Simplify
(6x × 3x ) + ( 6x × -1 ) - ( 4 × 3x ) - ( 4 × -1 )
18x² + (-6x) - (12x) - (-4)
Remove parenthesis and combine like terms
18x² - 6x - 12x + 4
18x² - 18x + 4
The equivalent of the given expression (6x−4)(3x−1) is 18x² - 18x + 4.
Hence, option C)18x² - 18x + 4 is the correct answer.
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The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?
Answers
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9
What is Ratio?The ratio can be expression as how many times one number contain another number.
For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2
How to find ratio?Consider M denote the number student present in the Mr. Moore's class
similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class
then we have given that
M : H = 5 : 4 or
\(\frac{M}{H} = \frac{5}{4}\)
Also we have H : W = 8 : 9
\(\frac{H}{W} = \frac{8}{9}\)
Now multiply these two equations we have
\(\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}\)
\(\frac{M}{W}= \frac{10}{9}\)
The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9
This is the conclusion to the answer.
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In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Answers
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
Solve for g.
-2(g- 6) = -4
g =
Answers
Answer:
g=4
Step-by-step explanation:
-2(g-6)=-4 distribute the -2
-2g+12=-4 subract the 12
-2g=8 divide by 2
g=4
a lorry travels at a speed of 54km/he how far does it go in 1minutes?
Answers
Answer:
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Speed per hour = 54 km
We have to find Speed per minute
For that...
60 minutes ---- 54 km(cuz, 1 hr = 60 minutes
1 minute -----?
=54/60 km/minute
=9/10 km/minute
= 0.9 km/minute
SO THE LORRY WILL TRAVEL 0.9 KM IN A MINUTE
Select the correct answer.
Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?
Answers
The equation of the line of best fit that Brianna drew is: c. y = 2x + 5
Recall:
Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.Thus:
Slope of a line (m) = change in y/change in x
From the scatter plot given,Change in y = 2 units
Change in x = 1 unit
Slope = 2/1 = 2
The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.
y-intercept (b) = 5
Substitute b = 5 and m = 2 into y = mx + b
y = 2x + 5
Therefore, the equation of the line of best fit that Brianna drew is: c. y = 2x + 5Learn more about line of best fit on:
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Answer:
c ..)
Step-by-step explanation:
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts. How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
Answers
Answer:
150 short-sleeved shirts100 long-sleeved shirtsStep-by-step explanation:
Let S and L represent the numbers of short- and long-sleeved shirts ordered.
The expected earnings were ...
5S +10L = 1750
The number sold was ...
(1/3)S + (1/2)L = 100
We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:
S +2L = 3502S +3L = 600Subtracting the second equation from twice the first gives ...
2(S +2L) -(2S +3L) = 2(350) -(600)
L = 100 . . . . . . simplify
2S +3(100) = 600
S = 150
150 short-sleeved and 100 long-sleeved shirts were ordered.
Answer:
b
Step-by-step explanation:
i did it on edge
HELP NOWWWWW PLEASEEEEE
How many 1/3's are in 1 and 2/3?
Answers
Answer:
5 thirds
Step-by-step explanation:
Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0
Therefore, 5x1/3=5/3=1 2/3
Answer:
This guy is wrong. 1 2/3 is equal to 5/3. But that is not the answer(like that dummy above said)
The Question is asking "How many 1/3's are in 1 2/3" (5/3)
The answer is 5, not 5/3's.
Proving Triangles congruent by ASA and AAS
Answers
Answer: Congruent by AAS
Step-by-step explanation:
FG and EH are congruent because they are given.
EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.
Angle EIH and Angle FIG are congruent because of the vertical angles theorem.
Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
Answers
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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Identify which of the following is a geometric sequence. A. 3, 12, 48, . . . B. 3, 1, , . . . C. 0, 1, 3, 9, . . . D. 3, 6, 12, 21, . . .
Answers
The geometric sequence in the list of options is A. 3, 12, 48, . . .
Identify the geometric sequence.A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed number.
A. 3, 12, 48, . . . is a geometric sequence because each term is obtained by multiplying the previous term by 4.
B. 3, 1, . . . is not a geometric sequence because there is no fixed ratio between terms.
C. 0, 1, 3, 9, . . . is not a geometric sequence because the ratio between terms is not constant.
D. 3, 6, 12, 21, . . . is not a geometric sequence because the ratio between terms is not constant.
Therefore, the only geometric sequence is A. 3, 12, 48, . . .
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Answer:
3, 12, 48, . . .
Step-by-step explanation:
got it right
Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed
Answers
Answer:
0.8 miles in a minute, which would be 40 miles a hour.
Step-by-step explanation:
2/5 = 0.4
0.4 times 2 = 0.8
30 seconds times 2 = 60 seconds or 1 minute
60 times 0.8 = 40
60 times 1 minute = 60 minutes or 1 hour
40 miles in an hour or known as 40 miles a hour.
pls help me
When Jordan does his math homework, it takes Jordan 15 minutes to do 12 math problems.
A. How many problems will he finish if he works for 1.5 hours?
B. What is Jordan’s average rate of math problems completed per hour?
Answers
Answer:
A: 72
B: 48 problems per hour
Hope This Helps!
what type of number is 15/10?
Answers
Answer:
1.5
Step-by-step explanation:
its a decimal number
Answer: the number 15/10 is a fraction.
Step-by-step explanation:
any two numbers that have a slash in the middle are fractons. :)
One day, a girl bought 20 first-class stamps and 10 postcard stamps for $17.10. Another day she spent $70.70 on 80 first-class stamps and 50 postcard stamps. Find the cost of each type of stamp.
Answers
Answer:
$0.775
Step-by-step explanation:
Let x represent the cost of 1st class stamps
Let y represent the cost of post card stamps
17.10 = 20x + 10y .... (1)
70.00 = 80x + 50y .... (2)
subtracting 4 of equation 1 from equation 2 you obtain the following:
1.6 = 10y
which gives y = .16
Therefore post card stamps cost $0.16
Plugging this back into either equation you get x = .775
Therefore the cost of 1st class stamps is $0.775
A principal of $4800 is invested at 4% interest, compounded annually. How much will the investment be worth after 14 years?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer: A=4800(.04)^14
Step-by-step explanation: solve
Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether?
Answers
A total of 192 students voted altogether.
What is an addition operation?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
Given:
The number of students who voted for Morgan = 64.
Let the number of students who voted for Whitney = n.
According to the question,
n = 2 times the number of students who voted for Morgan
n = 2 x 64
n = 128.
The total number of students who voted = 64 + 128
The total number of students who voted = 192.
Therefore, the required number of votes is 128.
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A customer bought ten 1-liter containers of grape juice. How many milliliters of juice did she buy?
Answers
If a customer bought ten 1-liter containers of grape juice, the milliliters of juice she bought is 10,000 milliliters, using multiplication.
What is multiplication?Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication operation is widely used in unit conversions, just like division operation.
1 liter = 1,000 milliliters
10 1-liter containers = 10,000 milliliters (1,000 x 10)
Thus, the customer bought 10,000 milliliters of grape juice or ten 1-liter containers, based on multiplication operation in unit conversion.
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sam has 62 dimes and quarters worth 11.30. How many dimes and quarters does he have?
Answers
What’s the slope. Jackie charges her phone over night. This graph shows how much the battery depletes on an hour basis
Answers
Answer:
slope (m) = 5
Step-by-step explanation:
rise/run, -10/-2 = 5
The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5
Answers
due tomorrow help please :)
Answers
Answer:
68°
Step-by-step explanation:
The angles are equal to each other. Set them equal and solve for x
5x + 18 = 8x - 12 Subtract 5x from both sides of the equation
18 = 3x - 12 Add 12 to both sides of the equation
30 = 3x Divide both sides by 3
10 = x
Now that you have found x plug is back into 5x + 18
5(10) + 18
50 + 18 = 68
Answer:
∠ FLJ = 68°
Step-by-step explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
8x - 12 = 5x + 18 ( subtract 5x from both sides )
3x - 12 = 18 ( add 12 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°
please help asap math question
Answers
86.1 and 90.5 should be the answer