Answer:
(a) [tex]x = 60[/tex]
(b) [tex]x = 2.64[/tex]
(c) [tex]x=15[/tex]
Step-by-step explanation:
Solving (a):
[tex]\frac{1}{4}x + \frac{2}{5}x = 39[/tex]
[tex]\frac{x}{4} + \frac{2x}{5} = 39[/tex]
Take LCM
[tex]\frac{13x}{20} = 39[/tex]
Multiply through by 20
[tex]20 * \frac{13x}{20} = 39 * 20[/tex]
[tex]13x = 39 * 20[/tex]
[tex]13x = 780[/tex]
Solve for x
[tex]x = 780/13[/tex]
[tex]x = 60[/tex]
Solving (b):
[tex]0.6x + 0.5x = 2.9[/tex]
This gives:
[tex]1.1x = 2.9[/tex]
Solve for x
[tex]x = \frac{2.9}{1.1}[/tex]
[tex]x = \frac{29}{11}[/tex]
[tex]x = 2.64[/tex]
Solving (c):
[tex]\frac{3}{5}x = 9[/tex]
Multiply both sides by [tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}[/tex]
[tex]x = 9 * \frac{5}{3}[/tex]
[tex]x = \frac{9 *5}{3}[/tex]
[tex]x = \frac{45}{3}[/tex]
[tex]x=15[/tex]
Plz help what the answers :')
Answer:
X=87.5 and the equation is 0.40/x=35
Step-by-step explanation:
A movie theater charges $12.00 for adults and $4.50 for children under the age of ten. A group of adults and children went to the movies and spent $75.00 on 10 tickets. How many adults and how many children went to the move?
Answer:
4 Adults and 6 Children went to the movies.
Step-by-step explanation:
(Children) $4.50 x 6 = $27.00
(Adults) $12.00 x 4 = $48.00
$48.00 + $27.00 = $75.00
11 - m = 51 - 6m solve for m
Answer:
m = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second
Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
The height of the object after 1 second is 229 feet.
It is required to find the height of the object after 1 second.
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
Given:
The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,
where
v is the initial vertical velocity (in feet per second),
s, is the initial height of the object (in feet),
t is the time in seconds.
We are given;
v(o) = 45 ft/s
s(o) = 200 ft
According to given question we have,
Thus, polynomial that represents the height is;
h(t) = -16t² + vt+ s,
After a time of 1 second, height is;
h(1) = -16(1)² + 45*1+ 200
h(1) =-16+45+200
h(1) =229 feet
Therefore, the height of the object after 1 second is 229 feet.
Learn more about polynomial here:
brainly.com/question/21610065
#SPJ2
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
what is the lowest common multiple of 3 , 4 and 2
2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?
Step-by-step explanation:
The correct answer is 237
Answer:257
Step-by-step explanation:
13. How much money will 8820 Vield in investa
+ 5%. for 3 years and compounded
continuosly and semiannually and determine
which eams more?
9514 1404 393
Answer:
10,247.38 from continuous compounding10,228.50 from semiannual compoundingcontinuous compounding earns moreStep-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
__
The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
What is the approximate circumference of the circle shown below?
A. 135 cm
B. 74 cm
C. 47 cm
D. 148 cm
Answer:
D
Step-by-step explanation:
[tex]c = 2\pi \times r = 2\pi \times 23.5 = 147.65[/tex]
=148 cm
Answer:
148 cm.
Step-by-step explanation:
I just got it right.
plz help my friend plz and thank you
Answer:
8.7 ≈ 9
Step-by-step explanation:
2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...
Help Ratios Picture added!!
ackson is given the expression below to simplify. Which expression is equivalent to Jackson’s expression?9x−4+4x+5x+19
Ahttps://edpuzzle.com/assignments/600b1eec3f257f4235835f31/watchvhttps://edpuzzle.com/assignments/600b1eec3f257f42358idskdkeidjiwfjefwbfdbfkiwdhf
by-step explanation:
Answer:
3(6x+5)
Step-by-step explanation:
So first I opened my device
Then, I went to brainly
Next, I asked the question
Finally, i came back here to put the answer i found
*Perfect explanation*
Select the correct answer.
Which expression is equivalent to x + y + x + y + 3(y + 5)?
A. 2x + 5y +5
B. 2x + y + 30
C.2x + 5y + 15
D.2x + 3y + 10
Answer:
c
Step-by-step explanation:
In A QRS, ZRTQ - STR.
R
S
Which relationship proves that ZQRS is a right angle?
Answer:
A
Step-by-step explanation:
hhjjjjkkkdaa vhjkkjddgj hjkjcgh
Which step should be performed first when simplifying 25−(14−8)+3×2 ?
Step-by-step explanation:
the operation of addition first, then multiplication; whereas student 2 ... When performing arithmetic operations there can be only one correct answer
Write a rule for g described by the transformation of the graph of f...
Answer:
[tex]g(x) = 4-4\sqrt{x}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4\sqrt{x}+1[/tex]
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
[tex]f'(x) = f(x) - b[/tex]
Where b is the number of units.
So, we have:
[tex]f'(x) = 4\sqrt{x} + 1 - 5[/tex]
[tex]f'(x) = 4\sqrt{x} -4[/tex]
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
[tex]g(x) = -f(x)[/tex]
[tex]g(x) = -(4\sqrt{x} - 4)[/tex]
[tex]g(x) = -4\sqrt{x} +4[/tex]
[tex]g(x) = 4-4\sqrt{x}[/tex]
Answer these questions please:
What step did the error come in?
What did they do wrong ?
Answer:
Step 1, 4=3(d+1)-5 should be 4=3d+3-5
Step-by-step explanation:
it takes 120 drops of water to fill a teaspoon write the prime fractorization
of 120 using exponents
Answer:
120 = 2³×3×5
Step-by-step explanation:
guys i need help on this problem I'm stuck
Answer:
y=mx+b is slope intercept form
Step-by-step explanation:
letter B :)
Can someone help me please
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the [tex]x[/tex]-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a polynomial of degree 2, which is a fancy way of saying that something is a quadratic), the [tex]x[/tex]-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve [tex](x-3)(x-7)=0[/tex], which gives [tex]x-3=0 \vee x-7=0[/tex] (the 'V' stands for 'or'). We can take the average of the two roots to get the [tex]x[/tex]-coordinate of the minimum point of the graph (which, in this case, is [tex]x=\frac{3+7}{2} = \frac{10}{2} = 5[/tex]).
Having the [tex]x[/tex]-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the [tex]y[/tex]-coordinate of the extremum.
comparing their candy haul. If Sullivan got s number of pieces and Carter got 2s,
what does that tell you about the relationship between the amount of candy they
each had?
Answer:
.....
Step-by-step explanation:
You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in
your bloodstream decreases by about 29% each hour
Answer:
oka so now what
Step-by-step explanation:
I need to write fractions as mixed numbers 36/6 20/10 15/8 13/6
36/6 = 6
20/10 = 2
15/8 = 1 7/8
13/6 = 2 1/6
Hope this helped!
Answer:
6, 2, 8 7/8, 2 1/3
Step-by-step explanation:
36/6 represents a division: 36 divided by 6
answer: 6
20/10 also division: 20 divided by 10
answer: 2
15/8 also division (long division...) 15 divided by 8
you will have a remainder (that will become your numerator)
the decimal of that division is 1.875 as a fraction that is a mixed number:
8 AND 875/1000 but!! you are not done yet (that fraction has to be simplified)
If you divide the fractional portion by the greatest common factor (125) you can simplify your fraction to 8 7/8
13/6 is 13 divided by 6 = 2 with a remainder of 2 = 2 2/6 simplified = 2 1/3
Which product is less than 5/8
Answer:
7/10 * 5/8 is less than 5/8 because 7/10 * 5/8= 0.4375. And 5/8=0.625
Step-by-step explanation:
Answer:
4/8
I don't really have an explanation-
What is the multiplier for a decrease of 38%?
Answer:
Step-by-step explanation:
times .62
what is the me big of fraction
Answer:
me big of fraction? what is that? :(
Step-by-step explanation:
Which Expression is equivalent to 2(3 + 6y)
Answer:
6+12y
Step-by-step explanation:
By using the distribution property
Josh bought 2 pairs of $15 jeans. He also bought three shirts that were $10 each minus a $1 clearance
discount on each shirt. Finally he made a stop to get cookies for his party. The cookies cost $3 per dozen and
he needed 6 dozen. Which expression represents Josh's purchases? What was Josh's total money spent?
Answer:
Answer: $75 Equation: (15×2)+3(10-1)+(3×6)=75
Step-by-step explanation:
there are 38 students involved in planning the homecoming parade of these students 15 are boys and 23 are girls if two members are selected to lead the parade what is the probability that both are girls
Answer:
about 65%
I already answered this
Ratio 7/11 two other ways
Answer:
Isn't it 7:11 and 7 to 11
Step-by-step explanation:
