Answer:
40
Step-by-step explanation:
let the number be 'x'
95 % of x = 38
(95 / 100)x =38
x = 38 × 100 / 95
x = 2 × 100 / 5
x = 2 × 20
x = 40
Josh received his allowance on Tuesday. He spends 3/8 of his allowance on Tuesday night and 2/3 of the remainder on Wednesday morning. What part of his allowance is left for the rest of the week?
Josh starts with 8/8 (or any other fraction that equals 1) of his allowance. He then spends 3/8 of it.
8/8 x 3/8 = 3/8
8/8 - 3/8 = 5/8
He spend 3/8 of his allowance, leaving him with 5/8 left. Then Josh spent 2/3 of that remaining amount.
5/8 x 2/3 = 10/24 = 5/12
Josh has 5/12 of his allowance left for the rest of the week.
Hope this helps!
solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2
Answer:
-2 < x <= 0
Step-by-step explanation:
Isolate the variable.
-4 < 3x + 2 <= 2
Subtract 2 from each side.
-6 < 3x <= 0
Divide both sides by 3
-2 < x <= 0
3. Solve the inverse variation problem. y varies inversely with x. If y=7 when t= -4, find y when = 2.
y= -10
y=0
y=-14
Y = 10
if the value of x=4, y=3 and z= -2 find the value of 2x+3z
Answer:
2Step-by-step explanation:
To find value:
2x + 3z
Given values:
x = 4, y = 3 and z = -2
Solution:
2x + 3z
(Putting the values of x = 4 and z = -2)
= 2(4) + 3(-2)
= 8 - 6
= 2 (Ans)
Answer:
2
Step-by-step explanation:
2×4+3×−2
=8+3×−2
=8+−6
=2
Can somebody please help me?
Answer:
The answer is A I am pretty sure. Please tell me if I got it wrong.
Step-by-step explanation:
Sophie went to the lake with her family. First, they spent 1 1/4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Answer:
they spend the time for swimming is 11/4 ✖ 2 =22/4
that's means in hours =5 hours 30 minutes
Anyone know the answers to 26 and 28?Please help me I’m sleep deprived
Answer:
26. 30 ≥ 7.5a + 4.5s 28. $22.50
Step-by-step explanation:
26. The family doesn't want to spend over 30 dollars, so when writing the inequality the amount they spend needs to be less than or equal to 30, hence the greater than/equal to sign. When writing the expression a - amount of adults & s - amount of students.
*remember in the question it states middle and high schoolers both count as students
The 7.5 is cost for adults and the 4.5 is cost for students.
28. You can use the expression created in 26
7.5a + 4.5s
Then substitute in the amount of people into their respective categories.
7.5(2) + 4.5(3) = 22.50
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To know more about infinity:
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I need help with maths lol
Answer:
Step-by-step explanation:
To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.
In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B
In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.
In D you are indicating that 6 is multiplied by 4s. You can only multiply 6 and 4. They don't add. Not D
A is correct.
Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?
Answer:
Lamar's next step is x^2 — 12x + 6 = 0
The solution to the equation is x = ± 6√30
Step-by-step explanation:
What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°
Answer:
90 degrees
Step-by-step explanation:
When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.
360 / 4 = 90
Best of Luck!
The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The smallest angle of rotational symmetry for a square is 90°.
This means that the square can be rotated by 90° and still look the same.
It can also be rotated by 180° and 270° to look the same,
but the smallest angle is 90°.
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-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23
Answer:
[tex]x = - \frac{85}{46} [/tex]
[tex]y = - \frac{64}{23} [/tex]
[tex]z = \frac{209}{46} [/tex]
a quadrilateral has 2 pairs of parallel sides and no right angles what two shapes can it be
Answer:
See below
Step-by-step explanation:
Quadrilaterals that have two pair of parallel sides and no right angles can be:
1) Rhombus ( 2 pair of parallel sides and no right angles. )
2) Parallelogram ( 2 pair of parallel sides and no right angles. )
Picture 1 shows a rhombus!
Picture 2 shows a parallelogram!
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 65% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Step-by-step explanation:
the first brand = (65-55)/(80-55) x 180
= 10/25 × 180
= 72 gallons
the second brand = (80-65)/(80-55)×180
= 15/25 × 180
= 108 gallons
Explain the algebraic error in the student’s work. Then, state how the equation r = StartFraction (uppercase A minus uppercase P) Over t EndFraction can be modified to produce the correct result.
Answer:
The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt
Step-by-step explanation:
just did it
There is an error in step 2 where distributive property was not followed.
What is Simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Steps taken by the student to solve the formula of the simple interest for the values of '',
Step 1 : A = P( 1 +rt)
Step 2 : A = P + rt
Step 3 : A - p = rt
Step 4 : r = (A - P)/ t
There is an error in step 2 where distributive property was not followed.
Correct steps should be,
Step 1 : A = P( 1 +rt)
Step 2 : A = P + Prt [By distributive property]
Step 3 : A - P = Prt
Step 4 : r = (A-P)/Pt
Therefore, error was made in step 2.
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3(y+2)-5=22
Solution of the equation?
Answer:
[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]
Answer: 7
Step-by-step explanation:
3y+6-5=22
3y+1=22
3y=22-1
y=21/3
y=7
Solve the equation below.
1.2m+0.65=5
Answer:
m = 3.625
Step-by-step explanation:
1.2m + 0.65 = 5
~Subtract 0.65 to both sides
1.2m = 4.35
~Divide 1.2 to both sides
m = 3.625
Best of Luck!
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what would the new length of the running trail be?
A.
4.093
B.
4.286
C.
4.682
D.
5.216
E.
5.443
Answer:
The answer is B. 4.286
Step-by-step explanation:
2.826+1.46= 4.286
Charlie borrowed $500 from his aunt. He has already paid back $75. His aunt doesn't charge
any interest and he is planning on making $15 payments each friday
Answer:
555
Step-by-step explanation:
because it is tyeesgghhhhfdfhf
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
fathers age 50 son age 20
The length of a rectangle is 24" and its width is 7". How long is a diagonal?
(A) 22"
(B) 25"
(C) 28"
(D) 31"
(E) 34"
what are the steps in order needed to solve
x/2-5=20
x/2-5=20
(x-5*2)/2=20
(x-10)/2=20
x-10=20*2
x-10=40
x=40-10
x=30
Answer:
x/2-5=20
x=20(2-5)
x=40-100
x= -60
r-6
--------- = - 3
- 3
Answer:
r=0
Step-by-step explanation:
Algebra 1
David has a savings account that currently has $25. He spends $5 per week.
Х У
-2
0 25
1
4
Fill in the rest of the table.
Answer:
35,25,20,5
Step-by-step explanation:
X.......Y
-2.....35 ( Assuming he has been spending 5$ a week we can backtrack)
0........25 ( given)
1.........20 ( he has spent 5)
4..........5 ( 5*4=20-25=5)
find the exact value without a calculator cos π\8= cos π/4/2
Answer:
Step-by-step explanation:
1+cos 2a=2cos^2a
cos a=√[(1+cos 2a)/2]
[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
b-8y when b=-6 and y=4
Answer:
-38
Step-by-step explanation:
b-8y
(-6)-8(4)
-6-32
-38
hope it helps youplease follow meThe formula used to convert degrees Celsius to degrees Fahrenheit is
F=?C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
Answer:
9
Step-by-step explanation:
The correct conversion is 68°F = 20°C.
What is unit conversion?
Conversion is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that;
To convert 68°F
Now,
To solve the formula for C, we need to isolate C on one side of the equation. We can do this by subtracting 32 from both sides and then dividing by 1.8. The steps are:
F = 1.8C + 32
F - 32 = 1.8C
(F - 32) / 1.8 = C
Therefore, the correct formula for C is:
C = (F - 32) / 1.8
To convert 68°F to degrees Celsius, we can plug in F = 68 into the formula and simplify. The steps are:
C = (68 - 32) / 1.8
C = 36 / 1.8
C = 20
Therefore, after conversion the answer will be 68°F = 20°C.
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answer if you can please
Answer:
[tex] - \frac{9}{10} - ( - \frac{3}{10} ) \\ \\ = - \frac{9}{10} + \frac{3}{10} \\ \\ = \: - \frac{ 6}{10} [/tex]
I hope I helped you^_^
Answer:
-3/5
Step-by-step explanation:
1.) -9/10 - (-3/10)
2.) This___(-9)+3___ (DO NOT SIMPLIFY) over 10 or
(-9)+3 / 10
3.) -3/5
Please help ASAP, thank you
Answer:
Day 1: 100 bacteria
Day 2: 100 + 90% = 190 bacteria
Day 3: 190 + 90% = 361
Day 4: 361 + 90% = 685.9
Day 5: 685.9 + 90% = 1303.21
Write 0.2 as a fraction in simplest form.
Hi ;-)
[tex]0,2=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\boxed{\frac{1}{5}}[/tex]
Answer:
1/5
Step-by-step explanation:
Answer: 0.2 when converted into a fraction is 1/5.
Hope it helps:)