Answer:
See below ↓
Step-by-step explanation:
Problem
[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]Work
[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this caseSolution
[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]
A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?
90, 85, 86, 93, x
Answer:
she needs 96 in the fifth quiz
Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?
Answer: 90
Step-by-step explanation:
add all numbers up:
82+85+89+94+100=450
divide by amount of numbers
450/5=90
What is the measure of < B?
Answer:
C) 55
Step-by-step explanation:
One of the angles is given, which is 35. This is a right triangle because there is a square next to angle C, meaning it is 90 degrees. You subtract both of these values from the degree of a triangle, 180, which will leave you with 55.
Answer:
55
Step-by-step explanation:
Given: 35 degrees and 90 degrees
The total degrees of a triangle is 180
180 - 35 - 90 = 55
Use the equation n2 n = 56 to determine which figure has 56 blocks. figure has 56 blocks.
The factor of the quadratic equation n² + n = 56 is (n + 8)(n - 7). Then the value of the n is 7 and negative 8.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic equation will be given below.
n² + n = 56
The equation can be written as
n² + n - 56 = 0
On factorization, we have
n² + n - 56 = 0
n² + 8n - 7n - 56 = 0
(n + 8)(n - 7) = 0
n = 7, -8
The value of the n is 7 and negative 8.
More about the factorization link is given below.
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Answer:
Figure 7 has 56 blocks.
Step-by-step explanation:
How did Morgan solved the equation x2 - 10x + 2 = 0
Answer
Force a perfect square trinomial on the left side. Take the square root of both sides and solve for
3√ 3, − 5 − 3 √ 3
Step-by-step explanation:
Which of the following is equivalent to 24:72?
a. 1:3 b. 2:4 c. 2:3 d. 3:1
Answer: 1:3 A
Step-by-step explanation:
if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome
What is the value of c in the equation below?
2^-4 x 2^2 = a^b = c
Answer:
[tex]\frac{1}{64}[/tex]
The third option.
Step-by-step explanation:
Next year Phil and Matt may sell the cookies for $50 each. They plan to make the same total number of cookies, but they predict that they will only sell of them given the price increase. Based on their prediction, should Phil and Matt raise the price of the cookies? Justify your answer.
Enter your answer and your justification in the box provided.
Answer:
No, they should not raise the price of the cookies. Because they are going to sell more base on the equation above if they stick with the original price.
How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign
Answer:
1,616.00
Step-by-step explanation:
sorry if this is wrong
The tax on the item costs $1425.89 is 106.94175 dollars.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, tax rate =7.5% and the cost of an item = $1425.89.
Here, tax = 7.5% of 1425.89
= 7.5/100 ×1425.89
= 0.075×1425.89
= $106.94175
Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.
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how do you do this???
Answer:
i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5
Step-by-step explanation:
Can I please have brainliest
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
Answer:
answer is x=5, not x=6
Step-by-step explanation:
I don't really understand how this is structured, but the correct way of solving this is
2(3x − 4) = 8 + 2x + 4
do distributive property.
6x - 8 = 8 + 2x + 4
subtract 2x on both sides.
you get...
4x - 8 = 12
add 8 on both sides.
4x =20
divide by 4
x = 5
Solve for x and round to near tenth
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?
Answer:
A. 840 miles
B. 14 miles per gallon
Step-by-step explanation:
A. 14 mi. per gal. x 60 = 840 miles
B. 350 mi./25 gal. = 14 miles per gallon
hope this helps :)
1. The truck can travel 840 miles on 60 gallons of gas.
2. The truck's gas mileage is 14 miles per gallon.
What is Proportion?Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.
a) We have, 25 gallons of gas corresponds to 350 miles.
Let's set up the proportion:
25/350 = 60/x
25x = 350 (60)
25x = 21,000
x = 21,000 / 25
x = 840
Therefore, the truck can travel 840 miles on 60 gallons of gas.
b) The truck can travel 350 miles on 25 gallons of gas.
Gas mileage = Distance / Gas consumed
Gas mileage = 350 miles / 25 gallons
Gas mileage = 14 miles per gallon
Therefore, the truck's gas mileage is 14 miles per gallon.
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whats -2( 20x + 2) = -36
Answer:
[tex]x= \dfrac 45[/tex]
Step by step explanation:
[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]
PLEASE HELPP ITS DUE IN A HOUR
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.
The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.
Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture
Answer:
what happening to you
please answer your very
2x + 3y = 13
4x - y = -2
Answer:
Step-by-step explanation:
Solve the following system:
{3 y + 2 x = -2 | (equation 1)
{-y + 52 x = -2 | (equation 2)
Swap equation 1 with equation 2:
{52 x - y = -2 | (equation 1)
{2 x + 3 y = -2 | (equation 2)
Subtract 1/26 × (equation 1) from equation 2:
{52 x - y = -2 | (equation 1)
{0 x + (79 y)/26 = -25/13 | (equation 2)
Multiply equation 2 by 26:
{52 x - y = -2 | (equation 1)
{0 x + 79 y = -50 | (equation 2)
Divide equation 2 by 79:
{52 x - y = -2 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Add equation 2 to equation 1:
{52 x + 0 y = -208/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Divide equation 1 by 52:
{x + 0 y = -4/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Collect results:
Answer: {x = -4/79, y=-50/79
Could someone explain each one of these questions (apart from a) step by step? Thanks!
part c:
100-3t = 64
100-64 = 3t
36 = 3t
t = 12
part d:
1/2 (x-5) = 9
x-5 = 9 / (1/2)
x-5 = 18
x = 23
Solve this pls 4x+32=5x-22
Answer:
54
Step-by-step explanation:
4x + 32 = 5x -22
Group like terms
32 + 22 = 5x - 4x
54 = X
X = 54
Answer:
x = 54
Step-by-step explanation:
4x + 32 = 5x - 22
5x - 4x = 32 + 22
x = 54
To clarify this,
(4 x 54) + 32 = 248
(5 x 54) - 22 = 248
find the area of the semicircle round your answer to the nearest hundredth. 2ft
Please help!!!!!!!!!!!!!!!!1
Answer:
The correct answer is C: [tex]t\leq 58[/tex]
Step-by-step explanation:
In order to solve this problem, start by first creating an inequality to represent the situation above. The price of the hours and the supply fee can't go over $1,500, so you can set the representative inequality as [tex]25t+50\leq 1500[/tex]. Now solve the inequality, and you will get [tex]25t+50\leq 1500[/tex] => [tex]25t\leq 1450[/tex] => [tex]t\leq 58[/tex] hrs. So C is the correct answer.
Answer:
The answer is C.t is less than or equal to 58.
Step-by-step explanation:
Let x = Number of tutoring sessions
Supplies + tutoring cost = total cost
50 + 25x = 1500
Now need to solve:
Subtract 50 from both sides and simplify
50/ + 25x - 50 = 1500 - 50
25x = 1450
Divide both sides by 25 and simplify
25x/25 = 1450/25
Therefore,
[tex]x\leq 58[/tex]
Romeo has a work that pays 100 pesos per 1 hour. How much would he make in 10 hours?
Answer: he would get 1000
Step-by-step explanation:
100 x 10 =1000
Answer:
$1,000
Step-by-step explanation:
Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.
Find the product of 5.21 and 3.4
Step-by-step explanation:
5.21× 3.4 = 17.714
thank u
Graph the piecewise function.
Answer: First Option is correct.
Step-by-step explanation:
Since we have given that
\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}
f(x)=−x+1,x<0
f(x)=x+1,x≥0
If we let f(x)=y
then, y=x+1 and y=-x+1
Put x=0,
\begin{gathered}y=0+1\\\\y=1\end{gathered}
y=0+1
y=1
so, there must be coordinate on y -axis at 1.
and it must take Ist and II nd quadrant .
Hence, First Option is correct.
Solve for j show work
8j-5+j=67
the answer is 8
8j-5+j=67
8J +j
9J-5=67
+5 +5
9J=72
/9 /9
j=8
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]
[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is the inverse of Vx +4,
Answer:
c. X^2 - 4
Step-by-step explanation:
Replace X with Y
X = Sqrt(Y+4)
square both sides to solve for Y
X^2 = Y+4
subtract 4 from both sides
X^2 - 4 = Y
answer option C is correct
what is complement of cot 30°?
Step-by-step explanation:
cot ( 90⁰ - 30⁰ )
cot (90 - √3)
√3 - 90
Word problem. Help!! Will give brainlist
Answer:
133 degrees
Step-by-step explanation:
Supplementary angles equal 180.
the 1st angle is 180, so we do:
180-47
the answer is 133
please someone help me with this exercise I don't understand it and I really need it
Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d
In monthly sales would mr. gonzalez need to have $100000
Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by
What is the formula for monthly earning?Monthly earnings=a+bx
Where a =his annual salary (fixed),
b = the percentage of sales commission and
X =represents the volume of sales made each year.
Therefore When Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to
$60000 = $18000 + 0.04X
$60000 - $18000 = 0.04X
$48000 = 0.04X
0.04X = $1200000
X = $48000/0.04=12000000
X=$12000000
Therefore, his monthly sales is given by his earnings divided evenly each month is equal to
$1200000/12=$100000
So the option c is correct.
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Answer:c
Step-by-step explanation:
Identify the percent of change as an increase or decrease 15 ounces to 5 ounces
Answer:
it us 67%
Step-by-step explanation:
:))))))) good luck