Answer:
56
Step-by-step explanation:
98 gallons of a 20 percent salt solution results in 20/100 * 98 = 19.6 gallons of salt.
Let's say we need x gallons of the 42% salt solution.
To make sure that the resulting mixture has 28% salt, we need to have the total salt divided by the total amount of gallons.
We have 98 total gallons in the first solution, and x total gallons in the second solution. We have 19.6 gallons of salt in the first solution and 42% of x gallons in the second solution:
[tex]19.6+\frac{42}{100}(x)=\frac{28}{100}(98+x)[/tex]
Expanding, we have
[tex]19.6+\frac{42}{100}x=27.44+\frac{28}{100}x[/tex]
Subtracting 19.6 and subtracting 28/100x from both sides equals
[tex]\frac{14}{100}x=7.84[/tex]
Multiplying both sides by 100:
[tex]14x=784[/tex]
Dividing both sides by 14:
[tex]x=56[/tex]
Bianca is styling hair and makeup for the upcoming dance at her high school. She charges $51 for hair and $35 for makeup. Identify the expression that can be used to represent this situation. (2 points)
86hm
51h(35m)
51h + 35m
Please help me find limit
9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
[tex]\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}[/tex]
Use absolute value to express the distance between -12 and -15 on the number line
A: |-12-(-15)|= -37
B: |-12-(-15)|= -3
C: |-12-(-15)|= 3
D: |-12-(-15)|= 27
the value of 2√4-3√27+√16+√225 is
Answer:
hope this help you
sorry if it is mistake
A right triangle has sides 20 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse
Answer: Let the length of the hypotenuse be x
Applying the Pythagorean theorem we have :
x²=20²+48²
⇒x²=2704
⇒x=52( ∀ x >= 0 )
Step-by-step explanation:
Let assume the hypotenuse(longest side of right triangle) be x
By Pythagoras theorem
[tex] \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} [/tex]
c = xa = 20b = 48Applying Pythagoras theorem
[tex] \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} [/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304[/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:2704[/tex]
[tex]\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} [/tex]
[tex]\bf \large \implies \: \: x \: = \: 52[/tex]
Hence , the length of hypotenuse is 52.
Geometry please help me need help I don’t know how to do it
Answer:
A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)
A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)
Step-by-step explanation:
first everything is shifted down 8 units (x,y-8), so we get A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)
then you multiply by -1 A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)
Which is the correct label of the line? (1 point)
a
AC
O
CD
D
Ο OllA
Answer:
The correct label of the line is CD
Find the value of a.
A. 58
B. 130
C. 86
D. 65
Answer:
[tex]C. \ \ \ 86[/tex]°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
[tex]a = c[/tex]
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
[tex]86=\frac{a+c}{2}[/tex]
Substitute,
[tex]86=\frac{a+c}{2}[/tex]
[tex]86=\frac{a+a}{2}[/tex]
Simplify,
[tex]86=\frac{a+a}{2}[/tex]
[tex]86=\frac{2a}{2}[/tex]
[tex]86=a[/tex]
What is the period of the graph of y=2 cos (pie/3 x ) +3
A.2
B.3/pie
C.6
D.pie/3
Equate what is inside cosine with [tex]2\pi[/tex], base period and solve for x,
[tex]2\pi=\frac{\pi}{3}x[/tex]
[tex]6\pi=\pi x[/tex]
[tex]\boxed{x=6}[/tex]
Hope this helps :)
2/5 = 6/ = 10/30 = 14/
Please tell asap
Answer:
6/15.
14/42.
Step-by-step explanation:
2/5 = 6/x
Cross multiply:
2x = 5*6
x = 15
Similarly:
10/30 = 14/x
10x = 30*14
x = 420/10
x = 42.
Evaluate this |-2+3|
[tex]\displaystyle \Large \boldsymbol{} |-2+3| =|1|=1[/tex]
Help me with this question plz
19. 68 because 90seconds 1hr 30 mons
the number of multiples of a given number is infinite ( )
Answer:
make an 8 horizontal
oooookkkk
Answer:
TRUE
The number of multiples of a given number is finite is a false statement. The number of multiples of a given number is infinite.
Examples:
Multiples of 2 = 2,4,6,8,10,…..
Multiples of 3 = 3,6,9,12,15,18,…
Multiples of 4 = 4, 8, 12, 16, 120, 24….
∴ The number of multiples of a given number is infinite .
Answer From Gauth Math
look at the image question
Answer:
288 km²
Step-by-step explanation:
Surface area,
(10×10)+(9.4×10×2)
= 100+188
= 288 km²
Compare and contrast measures of central tendency and measures of variability.
Answer:
While central tendency tells you where most of your data points lie, variability summarizes how far apart your points from each other. Data sets can have the same central tendency but different levels of variability or vice versa. Together, they give you a complete picture of your data.
Step-by-step explanation:
Please help, question attached.
9514 1404 393
Answer:
TrueFalseStep-by-step explanation:
Dilation has no effect on angle measures, so ∠A = ∠A'.
Point A is the center of dilation, so doesn't move. Any line through point A will still go through point A after dilation. Lines AD and A'D' are not distinct.
A sound technician analyzes the audio feedback by placing a microphone at certain distances from a speaker. If the microphone is connected to the speaker, then the microphone senses 606060 decibels (\text{dB})(dB)left parenthesis, start text, d, B, end text, right parenthesis at a distance of 000 meters (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis from the speaker with the decibel level decreasing by half of itself for every additional meter from the speaker. If the microphone is not connected to the speaker, then the microphone senses 30 \, \text{dB}30dB30, start text, d, B, end text at a distance of 0 \, \text{m}0m0, start text, m, end text from the speaker with the decibel level decreasing by 888 for every additional meter from the speaker. Three meters from the speaker, what is the difference between the decibel level when it is connected to the speaker versus when it is not connected to the speaker?
At three meters, the difference in the decibel level if and if not connected to the speaker is 1.5 dB
The reason for arriving at the above value is as follows:
The known parameters:
The audio sensed by the microphone when connected to the speaker are;
0 meters = 60 decibels
The level of the decibel decrease by half for each additional meter;
Therefore, when the microphone is connected to the speaker, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Distance \ (m)}&&\mathbf{Sound \ (dB)}\\0&&60\\1&&30\\2&&15\\3&&7.5\end{array}\right][/tex]
If the microphone is not connected to the speaker, we have;
0 meters = 30 decibels
The level of the decibel decreasing by 8 dB for every additional meter from the speaker, therefore, when the microphone is not connected to the speaker we have;
[tex]\begin{array}{|c|cc|}\mathbf{Distance \ (m)}&&\mathbf{Sound \ (dB)}\\0&&30\\1&&22\\2&&14\\3&&6\end{array}\right][/tex]
At three meters from the speaker, the difference in the decibel level when it is connected and when it is not connected to the speaker is therefore;
Decibel level at 3 meters when connected, s₁ = 7.5 dB
Decibel level at 3 meters when not connected, s₂ = 6 dB
The difference in the decibel level = s₂ - s₁ = 7.5 dB - 6 dB = 1.5 dB
The difference in the decibel level when connected to the speaker and when not connected to the speaker is 1.5 dB
Learn more about sound level here:
https://brainly.com/question/11047787
A tortoise is walking in the desert. It walks 7.5 meters in 3 minutes. What is its speed?
meters per minute
9514 1404 393
Answer:
2.5 m/min
Step-by-step explanation:
To find meters per minute, divide meters by minutes:
(7.5 m)/(3 min) = 2.5 m/min
The speed of the tortoise is 2.5 meters per minute.
suppose sin(theta)=2/5, use the trig identity sin^2(theta)+cos^2(theta)=1 and the trig identity tan(theta)=sin(theta)/cos(theta) fine tan(theta) in quadrant I. round to ten-thousandth.
Answer:
tanθ ≅ 0.4364
Step-by-step explanation:
A restaurant offers two types of pizza
dough: sourdough and whole wheat.
The chefs can make three types of
pizza crust: thin, thick, or deep dish.
What is the probability that the next
customer will order a whole wheat
pizza with thick crust?
Answer:
1/6 or 16.6%
Step-by-step explanation:
There are 6 possible combinations, one of which being whole wheat with thick crust. Therefore there is a 1/6 chance.
There are 4 windows in the living room. Each window has 1 set of blinds and 2 panels of curtains. The blinds cost $20 each. Each curtain panel cost $28. How much do the window treatments cost?
Answer:
$304
Step-by-step explanation:
4 Windows (each window has 1 blind and 2 panels of curtains)
1 blind = $20 * 4 = $80
1 panels curtains = $28 * 2 = $56 * 4 = $224
$80 + $224 = $304
if k = p+2q/3 , find the value of p when k=7 and q=3
Answer:
p = 5
Step-by-step explanation:
hopefully it is clear and understandable :)
Find all solutions of the equation in the interval [0, 2 π).
2cos θ - √ 2 = 0
Write your answer in radians in terms of π. If there is more than one solution, separate them with commas.
Answer:
θ = [tex]\frac{\pi}{4}[/tex]
θ = [tex]\frac{7\pi}{4}[/tex]
Step-by-step explanation:
2cosθ - √2 = 0
First, add √ 2 to both sides
2cosθ - √2 = 0
+√2 +√2
2cosθ = √2
Divide both sides by 2
2cosθ/2 = √2 / 2
cosθ = [tex]\frac{2}{\sqrt{2}}[/tex]
Use arccos to find θ
arccos([tex]\frac{2}{\sqrt{2}}[/tex]) = [tex]\frac{\pi}{4}[/tex] and [tex]\frac{7\pi}{4}[/tex] = θ
-55.5 — -8.55c +4.35c
Answer:
-55.5+12.9c
Step-by-step explanation:
-55.5 — -8.55c +4.35c
Subtracting a negative is like adding
-55.5 +8.55c +4.35c
Combine like terms
-55.5 +8.55c +4.35c
-55.5 +12.9c
Which expression defines the given series for seven terms?
–4 + (–5) + (–6) + . . .
Answer: -n+(-n-1)
Step-by-step explanation:
Expression will be -n + (-1)
Series
-4 +(-5)+(-6)+(-7)+(-8)+(-9)+(-10)+(-11)+(-12)+(-13) and so on
Here number -n has + (-n-1) being added to it
please click thanks and mark brainliest if you like :)
The area of a rectangular piece of land is 5/16 square mile. .
One dimension is 1/2 mile. How long is the other side?
Answer:
Step-by-step explanation:
Area = L * W
L = 1/2
Area = 5/16
5/16 = 1/2 * w You could do this using decimals
5/16 = 0.3125
1/2 = 0.5
0.3125 = 0.5 * w
w = 0.3125/0.5
w = 0.625
w = 5/8
The other way is done by fractions
[tex]\frac{\frac{5}{16} }{\frac{1}{2} } = \frac{5}{16}*\frac{2}{1} =\frac{5}{8}[/tex]
There are a couple of notes
First, you invert and multiply the denominator (the bottom fraction). It becomes 2/1Second the 2 and 16 cancel 5/16 becomes 5/8Reread or review the short short story below "Dirty Bird".
What literary device is most important to this story's message?
A.irony
B.parody
B.hyperbole
C.a pun
i think the answer should be hyperbole because the font part of the text is quite exaggerating
PLSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
I believe its EG and NE but i might be wrong
Step-by-step explanation:
How do write 841, 620 in three different ways?
Answer:
1) 841,620
2) 800,000+40,000+1,000+600+20
3) Eight hundred forty-one thousand, six hundred twenty
Hope this helps!
HELP ME PLEASE 10 POINTS SCIENTIFIC NOTATION
2,100,000.
Move the decimal point six places to the right spawning zeros. You will get 2million 100k.
If exponents get negative move the decimal point to the left spawning zeros in front.
Hope this helps :)
