Answer:
27
Step-by-step explanation:
(5x+7)(8x+7) = 0
Find the two possible values.
[tex](5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = \frac{ - 7}{5} \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = \frac{ - 7}{8} .[/tex]
the values of x are -7/5 and -7/8 .
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ\leftharpoonup[/tex]
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
Set each factor equal to 0.
[tex]\twoheadrightarrow\sf 5x+7=0[/tex]
[tex]\twoheadrightarrow\sf 8x+7=0[/tex]
[tex]\bullet[/tex] Solve each equation
[tex]\twoheadrightarrow\sf 5x+7=0[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf 5x=-7[/tex]
[tex]\bullet[/tex] Divide both sides by 5
[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{5}}[/tex]
[tex]\bullet[/tex] Now let's solve the second equation
[tex]\twoheadrightarrow\sf 8x+7=0[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf 8x=-7[/tex]
[tex]\bullet[/tex] Divide both sides by 8
[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{8}}[/tex]
[tex]\bullet[/tex] Great job, we found the two possible values
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Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
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How do l do this please help
The attached graph represents the graph of the parallel lines
How to plot the lines?The equation of the lines are linear equation
A linear equation is represented as:
y = mx + b
Where b represents the y-intercept.
Using the above form of linear equation as a guide, the equations of the lines are
y = -x + 5
y = -x + 2
y = -x - 3
y = -x - 2
Where -5, 2, -3 and -2 are the given y-intercepts and y = -x is the base equation.
Next, we plot the equations on a coordinate grid
See attachment
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The angles of a quadrilateral have measures m∠A = (7x)◦, m∠B = (4x + 5)◦, m∠C =
(6x + 15)◦, m∠D = (6x −5)◦. Find the value of x. If a diagonal bisects ∠B and ∠D, what
type of quadrilateral is ABCD?
The value of x is 15° and the type of quadrilateral is a rhombus.
Quadrilateral
A quadrilateral is a polygon that has four sides.The sum of all angles of a quadrilateral is 360°.
Here, we are given,
m∠A = (7x)◦, m∠B = (4x + 5)◦, m∠C =(6x + 15)◦, m∠D = (6x −5)◦
So, we will have
7x+4x+5+6x+15+6x-5=360°
23x+15°=360°
23x=345°
x=345°/23°
x=15°
Hence, the angles of the quadrilateral are:
m∠A = (7x)◦=105°,
m∠B = (4x + 5)◦ =65°
m∠C =105°
m∠D = (6x −5)◦ =85°
Since the diagonal bisects ∠B and ∠D, we get that the quadrilateral is a rhombus.
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Suppose you work 45 hours at a rate of 7.25 per hour pluse overtime pay for any hours over 40. You also received a 2% commission on the $800 of chinatableware you sold. Your paycheck lists 324.25 as your gross earnings is that correct
No, your paycheck is incorrect. The gross salary will be 342.25.
What is the gross salary?The amount of money paid to any employee without any deductions of the taxes or anything is called as gross salary.
The gross salary will be calculated as follows:-
40x 7.25= $290.00 (base salary)
5x 7.25 = 36.25 (overtime)
.02x 800= 16.00 (commission)
Gross salary will be = 36.25 + 16 + 290 = $324.25
Therefore your paycheck is incorrect. The gross salary will be 342.25.
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Another quick geometry question! Thanks!
PLEASE ANSWER NOW I DON'T HAVE 1 MINUTE
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st even
2nd prime
3rd multiple of 5
Answer:
answer is 5
Step-by-step explanation:
I think so
if yes L I k e
need help please don't know the answer
Select the graph that represents two quantities in a proportional relationship
The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-
Y = 2x
Put y = 0.5
0.5 = 2 x 0.5 = 1
As we put y=0.5 we get the value of x = 1 as shown in the graph.
Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
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there are 48 tables at a school.
3/8 of the tables are in the dining hall.
the rest are shaded equally between 5 classrooms.
how many tables are in the main hall
Total: 48
DIning Hall: 48(3/8)=18
so theres 30 left for the classes
30/5(#of classes)=6 per class
In the given figure, ABCD is a parallelogram. Find x, y and z.
Answer:
it is 18 by unknown number
It costs $164.34 to rent a standard-size car for 5 days. Find the price per day to rent this car.
40600 in standard form
Answer:
40600 = 4.06 × 104.
Step-by-step explanation:
3. Find how many numbers between 232 and 252.
Answer:
252-232=20-1=19
Step-by-step explanation:
the question said in between so you don't count the first and the last numbers
Please answer I will mark u brainliest or wtv its called
Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: [tex]a^2 + b^2 = c^2[/tex]
a = legb = legc = hypotenuseWe can plug in the values for each leg to solve for the hypotenuse.
Solve for c[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 8^2 = c^2[/tex][tex]36 + 64 = c^2[/tex][tex]100 = c^2[/tex][tex]\sqrt{100} = \sqrt{c^2}[/tex][tex]10 = c[/tex]The answer is Option B: 10 cm
convert the proof to the paragraph format
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
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. Solve for the missing value (x).
Include the correct unit of measure in your answer.
12.5mg : 5mL = 24mg : x mL
The missing value of x will be 9.6 mL.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The equation is given below.
12.5 mg : 5 mL = 24 mg : x mL
Then the value of x will be
12.5 / 5 = 24 / x
x = (24 × 5) / 12.5
x = 9.6 mL
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What u
Is 2(x+3) / 4(x+1)
Answer:
Step-by-step explanation:
2 ( x + 3 ) / 4 ( x + 1 )
2 (x + 3) ÷4 (x + 1)
2 (x + 3) ÷ 2×2(x+1)
cancel out the 2 in the numerator with the 2 in the denominator
(x + 3) ÷ 2(x + 1)
x+3 / 2(x+1)
Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2020 Christmas season and get married around the end of the year. In 2020, Raphael expects to earn $45,400 and Martina expects to earn $15,800. Their employers have deducted the appropriate amount of withholding from their paychecks throughout the year. Neither Raphael nor Martina has any itemized deductions. They are trying to decide whether they should get married on December 31, 2020, or on January 1, 2021. What do you recommend? Use the appropriate Tax Tables.
After taking into consideration the advantages in tax management, it will not be beneficial for Raphael and Martina to get married and avail tax benefits.
What are tax benefits?The individual taxable incomes of Raphael and Martina after availing the standard deductions will be $33,000 and $3,400 respectively. Now the computation of taxation liabilities will be computed as,
For Raphael, 10% of $33,000= $3,300;
For Martina, 10% of $3,400 = $340.
However, the joint income will be $61,200 and taxation liabilities of Raphael and Martina will be,
[tex]\rm Taxable\ Income = Total\ Income - Standard\ Deduction\\\\\rm Taxable\ Income =61200-24800\\\\\rm Taxable\ Income =\$36400[/tex]
Solving further,
[tex]\rm Joint\ Taxation = (\frac{10}{100}\ x\ 19750) + (\frac{12}{100}\ x\ 16650)\\\\\rm Joint\ Taxation = 1975+1998\\\\\rm Joint\ Taxation = \$3973[/tex]
Now, it can be compared that the joint taxation is higher than the summation of individual taxation of Raphael and Martina, and thus, tax benefits are not enough for Raphael and Martina to get married.
Hence, the tax benefits of Raphael and Martina after getting married are given as above.
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what is the median \
66, 51, 77, 68, 60, 75, 54, 80
14 men and 10 women started a pie eating contest. At the second round, 2 men and 2 women dropped out of the contest. What is the percentage of women that proceeded to the next round?
Answer: 80%
Step-by-step explanation:
Since only 2 out of 10 women dropped out, 10 - 2 = 8
One woman = 10%, 8 x 10% = 80%
The percentage of the women who moved to the next stage is 80%.
What is the percentage?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
Women who moved to the next stage: 10 - 2 = 8
(8/10) x 100 = 80%
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What is the solution to this system of equations y=3x-4 4y=12x-4 a no solution b (0,4) C Infinite solutions
Answer:
C
Step-by-step explanation:
y = 3x - 4
4y = 12x - 4
divide the bottom equation by 4
y = 3x - 4
y = 3x - 1
y = -3
3x - 1 = -3
3x = -2
x = -2/3
(-2/3, -3) is the answer. by this logic, there is a splution so can't be a, the answer is not (0, 4) so not b so it must be c
To estimate the height of a totem pole, Jorge uses a small square of plastic. He holds the square up to his eyes and walks backward from the pole. He stops when the bottom of the pole lines up with the bottom edge of the square and the top of the pole lines up with the top edge of the square. Jorge's eye level is about 2 m from the ground. He is about 3 m from the pole. Which of the following is the best estimate of the height of the totem pole?
The height of the pole is 6.50 meters
How to calculate the height?To calculate the height of the pole, we will use of the following equivalent ratios.
By Pythagoras theorem, we have:
[tex]x ^2 = 2^2 + 3^2\\\\x ^2 = 4 + 9\\\\x = \sqrt{13}[/tex]
So, we have:
[tex]h = \dfrac{\sqrt{13}^2 }{2} \\\\h = \dfrac{13}{2}\\\\h = 6.5[/tex]
Hence, the height of the pole is 6.50 meters
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factorise b^2 + 7b + 10
Step-by-step explanation:
b²+7b+10
Common factors are 5,2
b²+7b+10
b²+2b+5b+10
b(b+2)+5(b+2)
(b+2)(b+5)
Hope it helps.✨✨
Eve has two more marbles than Solene. Solene has twice as many marbles as Steve. Steve has 7 less marbles than eve. How many marbles do they have in all?
A. 27 B. 20 C. 34 D. 13
Using a system of equations, the total number of marbles that they have is given by:
A. 27.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: Eve's marbles.Variable y: Solene's marbles.Variable z: Steve's marbles.Eve has two more marbles than Solene, hence:
x = y + 2.
Solene has twice as many marbles as Steve, hence:
y = 2z -> z = y/2.x = 2z + 2.Steve has 7 less marbles than eve, hence:
z = x - 7.
Hence:
[tex]\frac{y}{2} = x - 7[/tex]
y = 2(x - 7)
y = 2(y + 2 - 7)
y = 2y - 10
y = 10.
Then:
x = y + 2 = 10 + 2 = 12.z = x - 7 = 12 - 7 = 5.Hence the total is given by:
T = 12 + 10 + 5 = 27.
Which means that option A is correct.
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How do I solve this problem?
Answer:
y≤x²+4x-1.
Step-by-step explanation:
1) to define the equation of the given graph; it is y=x²+4x-1 (its vertex is (-2;-5));
2) to define inequation accorging to the given graph (the area outside of the parabola means ≤).
Hi supreme turtle this is the question
Answer:
< $0 --------------$35------ $50>
Step-by-step explanation:
wait that's not the full question but uh I assume that's 30% off $50?
it would be 0.3x50 which is 15 and 50-15 is 35.
the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>
Hello, I need help understanding the following question.
Answer:
option b, y = 3/4x - 11
Step-by-step explanation:
Parallel lines have the same slope,
slope = rise / run where the rise is 3 and the run is 4
slope = 3/4
The line is in a upwards trend making the slope positive making choice c and d incorrect
The line passes through (8, -5)
y = 3/4x + b, (x, y)
-5 = 3/4(8) + b
-5 = 6 + b
-5 - 6 = 6 - 6 + b
-5 - 6 = b
-11 = b
y = 3/4x - 11
aron bought an almirah for $1520 and sold it at a profit of 12 1/2% what is the selling price
Answer:
$1710
Step-by-step explanation:
let me know if you want an explanation :))
An open rectangular box with a volume of 12 cubic meters has a length that is 5 times the width. Express the surface area of the box as a function of the length of a side of the base, x.
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 5x²+(24/5x)+(24/x).
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the width of the rectangular box be x. Therefore, the length of the box is 5x. Now, the height of the box can be written as,
Volume of the box = length × width × Height
12 = 5x² × H
H= 12 / 5x²
Further, the surface area of the open box is,
Surface area of the box
[tex]= (5x \times x) + 2(h \times x) + 2(5x \times h)\\\\= (5x^2) + 2(\dfrac{12}{5x^2} \times x) + 2(5x \times \dfrac{12}{5x^2})\\\\\\= 5x^2 + \dfrac{24}{5x} + \dfrac{24}{x}[/tex]
Hence, the surface area of the prism is 5x²+(24/5x)+(24/x).
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Find the slope of the curve y=2/x at x=a.
Answer:
We are given:- y=2/xWe need to find the slope of the curve at x=a.Step-by-step explanation:
Solution,
We use the slope formula, setting x=a :
[tex] \displaystyle{{{{ \lim_{h \to0}}}} \frac{ \frac{2}{x + h} - \frac{2}{x} }{h} = \lim_{h \to0} \frac{ \frac{2}{a + h} - \frac{2}{a} }{h} }[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{ \frac{2a - 2(a + h)}{a(a + h)} }{h} = \displaystyle{ \lim_{h \to0} \frac{2a - 2(a + h)}{ha(a + h)} }}[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{2a - 2a - 2h}{ha(a + h)} = \displaystyle{ \lim_{h \to0} \frac{ - 2h}{ha(a + h)} }}[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{ - 2}{a(a + h)} = - \frac{ 2}{ {a}^{2} } }[/tex]
Therefore, The slope of the curve y=2/x at x=a is -2/a^2.
