Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
Solve the proportion as a whole number. x =
7/3=x/27
How is the key event in this paragraph illustrated?
a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)
Answer:
350 millilitres
Step-by-step explanation:
70/100×500=350
Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25.
A) 0.75
B) 0.5
C) 0.25
D) 0
What is the equation on the graph?
Please help!!!
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
what is y-2=4(x+1) in slope intercept form
Answer: y=4x+3
Step-by-step explanation: First, lets clean this expression up.
y - 2 = 4(x+1)
Multiply 4 times x and 4 x 1.
y-2=4x+1
add 2 to both sides.
Finally, you get y=4x+3.
Remember that 4 is your m (slope), and b (y-intercept). If you were graph this, it would increase to the right. You graph your intercept 3 on the positive y-axis at (0,3) and since your slope is 4x, you go 4 units up and 1 unit to the right and from there, you get the graph of the given equation.
Hope this explanation helps.
Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.
Answer:
10/3
Step-by-step explanation:
[tex] \bf \huge \: Question:[/tex]
Find the value of x
[tex]\bf \huge \: Equation \: provided:[/tex]
[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]
[tex]\bf \huge \: Solution:[/tex]
[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]
[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]
[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]
[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]
[tex] \bf \: On \: Simplification:[/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]
[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]
[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]
[tex]\bf On \: Simplification:[/tex]
[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]
[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]
[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]
______________________________________
[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]
[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]
IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3
Answer:
3. 314 student and 226 adult
4. x = 6.5, y = -0.5
Step-by-step explanation:
3. First we will take our information and make a system of equations:
[tex]2.4a+1.25s=934.9[/tex]
[tex]a+s=540[/tex]
[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.
From the second equation we can rearange it to be:
[tex]a=540-s[/tex]
Then we can plug in our new value of [tex]a[/tex] to our first equation
[tex]2.4(540-s)+1.25s=934.9[/tex]
[tex]1296-2.4s+1.25s=934.9[/tex]
[tex]1.15s=361.1[/tex]
[tex]s=314[/tex]
We can then find [tex]a[/tex] by plugging in s to our second equation
[tex]a+314=540[/tex]
[tex]a=226[/tex]
4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:
[tex]3x -5(-5x+32)=22[/tex]
[tex]3x+25x-160=22[/tex]
[tex]28x=182[/tex]
[tex]x=6.5[/tex]
Then plug our value of x into the first equation to get:
[tex]3(6.5)-5y=22[/tex]
[tex]19.5-5y=22[/tex]
[tex]5y=-2.5[/tex]
[tex]y=-0.5[/tex]
Divide 120ml into the ratio 3:7
Answer:
Step-by-step explanation:
sum of ratio=3+7=10
total=120 ml
first part=3/10×120=36 ml
second part=7/10×120=84 ml
will give brainliest Select the correct locations on the graph
Select the lines that represent functions.
Answer:
b,c
Step-by-step explanation:
hello, the answer to this is / and ----- or b and c I got this right on my test :)
(Topic: Vectors) - Prove that ADE is a straight line
Answer:
Because the angle is a 180 degree angle.
Step-by-step explanation:
Answer:
If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.
Step-by-step explanation:
hope this helps
pls brainliest
Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11
How do you work out the problem x+3=4+x
Answer:
No solution
Step-by-step explanation:
Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x
(4+14) divided by 9 ???????
Answer:
2
Step-by-step explanation:
4+14=18
18/9=2
The lengths of two organisms, P and Q. were recorded. Organism Pis
25 nanometers long and Organism Q is 2,500 picometers long. Which
organism has the greater length?
Answer:
P
Step-by-step explanation:
The SI prefixes nano- and pico- stand for ...
nano- = 10^-9
pico- = 10^-12
2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.
25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.
Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax
Answer:
$25.50
Step-by-step explanation:
with a 15% off coupon she is paying 85% of the $25 bill, which is:
.85 x 25 = 21.25
if she adds a 20% tip on 21.25 then we can do the following:
1.2 x 21.25 to get the total after the discount and with tax:
$25.50
is the change of rate always constant
In mathematics, a constant rate of change is a rate of change that stays the same and does not change.
Write an equation for the nth term of the arithmetic sequence. Then find 230 -
-9, -6, -3,0, ...
=
a30
Helpquick
Answer:
hope it helps you ✨✨✨✨✨✨
Help help help help help
Sara is saving up to purchase a small T.V.
She has saved $80, which is 64% of the total
cost of the television. How much does the
television cost?
Answer:
You got this just keep trying
Step-by-step explanation:
Answer:
It might be 80
Step-by-step explanation:
first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!
is the equation in the picture true or false?
Answer:
false
Step-by-step explanation:
I hope this helps!!
the table shows the height of the sage bush at each of 2 ages. what was the bushes average rate of growth per year during this time period. pls answer quick
Answer:
2.4 inches a year
Step-by-step explanation:
It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)
(Brainliest ??)
Evaluate the determinate:
I 5 3 3 I
I -4 -5 1 I
I 5 3 0 I
Please show work... I will give Brainliest.!
Answer:
39
Step-by-step explanation:
detailed explanation showed in the diagram above
Estimation Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
Answer:
18.54x +48$85Step-by-step explanation:
The total amount Rita spent is ...
(18.54x +23) +(25) = 18.54x +48 . . . total spent
__
When x=2, that is approximately ...
(18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85
Rita spent about $85 if she bought 2 items.
_____
Additional comment
Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.
An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).
hellp plsssss
I would love it if you did!
Answer:
1050
Step-by-step explanation:
bylon 3 x 68 =204
wool (3x3) x 94 =846
204 + 846 = 1050
he spent 1050 $ on materials
Answer:
$846
Step-by-step explanation:
I think it is sry if u got it wrong
HELP PLEASE. The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation.
The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
Learn more about quadratic equation here: https://brainly.com/question/17210919
Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10
Answer:
the answer is 4
Step-by-step explanation:
16×7= 112
112÷28=4
In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.
Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.
Recall:
When two triangles are similar, the ratio of their corresponding side lengths are equal.Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.
Therefore:SR/SU = QR/TU
SR = RU + SU = 12 + SU
SU = ?
QR = 40
TU = 25
Plug in the values
[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]
Cross multiply[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]
Learn more about similar triangles on:
https://brainly.com/question/11850540
Help me on 5 and 6 plssssss
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model? x2 â€"" 6x 9 x2 â€"" 2x 4 x2 5x 10 x2 4x 16.
A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.
Given :
A perfect square trinomial can be represented by a square model with equivalent length and width.
The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:
Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.
Step 2 - Try to factorize the above equation.
[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]
[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]
[tex]x^2-6x+9 = (x-3)^2[/tex]
Step 3 - The equation in option a) represents the perfect square trinomial.
From, the above steps, it can be concluded that the correct option is a).
For more information, refer to the link given below:
https://brainly.com/question/2263981