Multiply the roots of the first and third terms together. Compare to the middle terms with the result in step two. If the first and last terms are perfect squares, and the middle term's coefficient is twice the product of the square roots of the first and last terms, then the expression is a perfect square trinomial.
The ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, how many total students are in the sixth grade?
Answer:
80
Step-by-step explanation:
.375, .525, .25 difference. 20/.25 =80
There are 80 students in the sixth grade.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Thus, a = px, b = qx
We have been given that ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, then
Now we need to do as;
b = 20 + g
3x = 20 + 5x
x = 10
Now The students are 8p
8 x 10 = 80
Hence, there are 80 student.
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Assuming the scale drawing of the swimming pool is 10 cm long and 5 cm wide, how long and how wide is the actual swimming pool?
Answer:
50 ft by 15
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+3)°
27°
Answer:
x = 10
Step-by-step explanation:
1. The sum of all angle measures in any triangle is equal to 180 degrees.
This means that 90 + 6x + 3 + 27 = 1802. (Solving)
Step 1: Combine like terms.
[tex](6x)+(90+3+27)=180[/tex] [tex]6x + 120 = 180[/tex]Step 2: Subtract 120 from both sides.
[tex]6x + 120 - 120 = 180 - 120[/tex] [tex]6x = 60[/tex]Step 3: Divide both sides by 6.
[tex]\frac{6x}{6}=\frac{60}{6}[/tex] [tex]x = 10[/tex]Therefore, x = 10.
Rút gọn biểu thức sau
(2/2-√5 - 2/2+√5):√20
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve for value of (2/2-√5 - 2/2+√5) :
[tex] \dfrac{2}{2 - \sqrt{5} } - \dfrac{2}{2 + \sqrt{5} } [/tex][tex] \dfrac{2(2 + \sqrt{5} ) - 2(2 - \sqrt{5} )}{ {2}^{2} - 5} [/tex][tex] \dfrac{4 + 2 \sqrt{5} - 4 + 2 \sqrt{5} }{4 - 5}[/tex][tex] \dfrac{4 \sqrt{5} }{ - 1} [/tex][tex] - 4 \sqrt{5} [/tex]now, let's simply the ratio :
[tex] - 4 \sqrt{5} : \sqrt{20} [/tex][tex] \dfrac{ - 4 \sqrt{5} }{ \sqrt{20} } [/tex][tex] \dfrac{ - 4}{ \sqrt{4} } [/tex][tex] - \sqrt{4} [/tex]Therfore , the required ratio is :
[tex] - \sqrt{4} :1[/tex]WILL GIVE BRAINLIEST IF CORRECT!!
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/2x+8
Step-by-step explanation:
Hope is helps. Please mark brainliest!!
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Find x and y intercepts. Write ordered pairs representing the points where the line crosses the axes. y-3x=18
Write an equation in Point-Slope Form that passes through the points (2,-3) & (4,7)
Answer:
[tex]y=5x-13[/tex]
Step-by-step explanation:
Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.
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a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now
Answer:
A.T.Q
358-169
= 189
Step-by-step explanation:
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Answer:
189 ft depthStep-by-step explanation:
Initial position:
- 358 ft
Change in position:
+ 169 ft
Position now:
- 358 + 169 = -189 ft
Which of the following is the graph of 2x - 3y = 6?
Answer:
Option B (second graph)
Step-by-step explanation:
Given the linear equation in standard form, 2x - 3y = 6:
It's easier to figure out the corresponding graph by transforming the equation into its slope-intercept form, y = mx + b:
2x - 3y = 6
2x - 2x - 3y = 6 - 2x
-3y = -2x + 6
Divide both sides by -3:
[tex]\frac{-3y}{-3} = \frac{-2x+6}{-3}[/tex]
y = 2/3x - 2
Now that we have the slope-intercept form, it's easier to tell that Graph B represents the given equation because:
The graph's y-intercept occurs at (0, -2).The slope, m = 2/3, is positive. If you use the "Rise over run" technique, you'll see that Graph B rises by 2 units, and runs by 3 units.Therefore, the correct answer is Graph B.
Using a ruler and a pair of compass only construct triangle XYZ with |XY| = 6cm,|XZ|=8cm and
Answer:
i dont know
Step-by-step explanation:
i-
HELP PLS I’LL GIVE BRAINLIEST AND A THANKS!
A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
Write an equation that shows how the oven temperature in °F, y, depends on the number of
minutes it has been preheating, X.
y =
I
Submit
The equation showing the variation of the temperature would be y=(23x) + 68.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A chef preheats an oven. It starts at room temperature, 68°F, and heats up to 23°F per minute.
The equation will be written as:-
y = 23x + 68
Here x is the time of preheating.
Therefore, the equation showing the variation of the temperature would be y=(23x) + 68.
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An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of the iPhone in £. Give your answer to 2 dp.
Answer:
£699 in London
£902.87 in Paris
£1505.63 in New York
The lowest price of the iPhone is £699 in London.
PLS HELP WILL MARK BRAINLIEST!
Answer:
25 - n
Step-by-step explanation:
n is a variable. It can represent any number. For example, 5 years ago, Mario would be 20 years old since 25-5 is 20.
So, if n is 8, you have to do 25 - 8 to find the answer to how old Mario was 8 years ago.
So his age n years ago, is 25 - n.
Hope this helps!
45c-60=75 what is the value of c
Answer:
[tex]45c - 60 = 75 \\ 45c = 75 + 60 \\ 45c = 135 \\ \\ c = \frac{135}{45} \\ \\ c = 3[/tex]
I hope I helped you^_^
Aidan practiced his foot skills during soccer practice. He began at the center
line, dribbled the ball 6 yards forward and 9 yards back, then 3 yards forward.
How far from the starting line was Aidan when he ended the drill?
Answer:
Aidan traveled 0 yards from the starting line
Step-by-step explanation:
Set up problem: 6-9+3
Solve
Hope this help! Have a great day!!
5(2x + 6) = 8x + 48
how do I solve this with steps
Answer:
x=9
Step-by-step explanation:
10x + 30 = 8x + 48
-8x = -8x
______________
2x +30 =48
-30= -30
__________
2x/2 = 18/2
x = 9
(iv). Solve: 2x⁴ - 5x³ + 7x - 3 when x = 2.
Please help me..
Step-by-step explanation:
[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]
Now, substituting the value of x in equation, we get.[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]
[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ + 6 - 3}[/tex]
[tex]\longrightarrow\sf{ 3 }[/tex]
Answer:
Step-by-step explanation:
f(x) = 2x⁴ - 5x³ + 7x - 3
f(2) = 2(2^4) - 5(2^3) + 7(2) - 3
f(2) = 32 - 40 + 14 - 3
f(2) = 3
The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3
Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2 into the equation.
Find the missing angle.
88°
Х
47°
X =
[?]
Enter the number that belongs in the green box.
Answer:
X = 45
Step-by-step explanation:
Hope it will be helpful for you.
Which set of fractions is ordered from least to greatest?
Answer:
answer is A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
The bigger the denominator is the samller the fraction is.
Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]
You will pay tax on a purchase of $27.89. The tax
rate is 6.5%. How much will your total be?
Please find the slope of each line and explain
Answer:
the picture is not clear for me I can't see anything sorry
Please help me with this
It is due today, so please help me ASAP
HELLPPPP WILL GIVE BRAINLIEST
Answer:
[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)
Step-by-step explanation:
Step 1: Use quadratic formula with a = 2, b = 1, c = -5.
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] [tex]x = \frac{-(1)+-\sqrt{(1)^2-4(2)(-5)} }{2(2)}[/tex] [tex]x = \frac{-1+-\sqrt{1-8(5)}}{4}[/tex] [tex]x = \frac{-1+-\sqrt{1-40} }{4}[/tex] [tex]x = \frac{-1+-\sqrt{41} }{4}[/tex]Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].
The temperature in Doha, Qatar on 1 June is 40°C. Over
the next two days this temperature increases by 10%
followed by a decrease of 10%. Find the temperature in
Doha on 3 June.
Answer:
39.6°C
Step-by-step explanation:
10% of 40°C is 40 × 10/100
=4
temp on 2 June = 40+4 = 44°C
now 10% of 44°C is 44 × 10/100
=4.4
temp on 3 June = 44 - 4.4 = 39.6°C
I need help! And fast !!!!
Answer:
the answer is 12
Step-by-step explanation
i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer
what's 58 divided by 78 will mark brainliest
The Answer will be: 1.3
Step-by-step explanation:
when 58 is divided by 78 the answer comes out to be 0.7435
58/78 = 0.7435.
hope this helps you, my dear.
evaluate 5/8 - (1/4)2
Answer The answer will be 0.125
Step-by-step explanation:
Please Help!
Slope finding
8th Grade work
Answer:
first question
slope = rise/run = 2/3
second question
slope = rise/run = 1/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
if u start from any point and go to the next u will be going up 2 the moving 3 to the right.
What is 2(3x+7)=-49+39
Answer:
x = -4
Step-by-step explanation:
2(3x + 7) = -49 + 39
6x + 14 = -10
6x = -10 - 14
6x = -24
x = -4
Subtract the integers with solution
53-18=
50-72=
215-(-65)=
-49-36
21-(-49)
Answer:
1. 35
2. -22
3. 280
4. -85
5. 70
Step-by-step explanation:
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