Answer:
Step-by-step explanation:
If the numerator is 7 less than its denominator, than the original number in terms of x is
[tex]\frac{x-7}{x}[/tex]. If we triple the numerator, the expression to do this is 3(x - 7); if we increase the denominator, the expression to do this is x + 13. Putting that together along with the fact that after we do this manipulation the new number is 3/2:
[tex]\frac{3(x-7)}{x+13}=\frac{3}{2}[/tex] and distribute:
[tex]\frac{3x-21}{x+13}=\frac{3}{2}[/tex] and cross multiply to get:
2(3x - 21) = 3(x + 13) and
6x - 42 = 3x + 39 and
3x = 81 so
x = 27. Subbing 27 for x into the original number:
[tex]\frac{27-7}{27}=\frac{20}{27}[/tex]
Put these numbers in order from least to greatest.
1 1/8, 0.7, and 1.4
Answer:
1.4, 1 1/8, 0.7
Step-by-step explanation:
1 1/8 is equal to 1.125 which it makes it less than 1.4 but more than 0.7.
Answer:
[tex]0.7, \frac{11}{8},1.4[/tex]
Step-by-step explanation:
In order to understand what numbers are greater and what numbers are smaller, we need to make them have the same common denominator. So firstly, we turn all of these numbers into fractions, and we get...
[tex]0.7 = \frac{7}{10}\\\\1.4 = \frac{14}{10}\\\\\frac{11}{8 }= \frac{11}{8 }[/tex]
Now we, need to find the least possible number divisible by 10 and 8, to find the least common denominator. And we get, that the least common denominator is 40, and knowing this, now we have to take each fraction and turn it into an equivalent fraction with the denominator of 40. So we do...
[tex]\frac{11}{8}= \frac{(11)(5)}{(8)(5)}= \frac{55}{40}\\\\\frac{7}{10} = \frac{(7)(4)}{(10)(4)} = \frac{28}{40} \\\\\frac{14}{10} = \frac{(14)(4)}{(10)(4)} = \frac{56}{40}[/tex]
Now we can put these fractions in order from least to greatest...
[tex]\frac{28}{40} < \frac{55}{40}<\frac{56}{40}[/tex]
Therefore, we know that...
[tex]0.7 < \frac{11}{8} < 1.4[/tex]
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
2 grams
Step-by-step explanation:
a = 145 * (1/2)⁶
a = 2.265625
Rounded
2 grams
HELP ASAPPPP
****
Liliana noted that the temperature was 45 degrees when she woke up. At noon she started recording the increase in
degrees from the morning temperature.
Vx
Temperature
30
Increase in Degrees
12 p.m. -
2 p.m. -
3:59 p.m.
4 p.m. - 6 p.m. -
5:59 p.m.
7:59 p.m.
Time of Day
8 p.m. -
9:59 p.m.
1:59 p.m.
10 p.m. -
11:59 p.m.
Which statement most reasonably explains the hours after the peak increase in temperature?
Answer:
C. The temperature increase went down because it became cooler as the sun went down for the night
Step-by-step explanation:
It is natural to have high temperatures when the sun is up, and as dusk begin to set, the temperature of a place drops. L
Going by the above stated fact, to explain the hours after the peak increase in temperature, it is plausible to conclude that as the sun went down, it became cooler for the night. That's why we have the lowest temperature displayed on the graph between 10 PM to 11:59 PM.
Let A and B be two independent events. If p(A)=3/5 and p(B')=1/3 then the value of p(AUB)' is equal to?
Answer:
P(AUB)'=2/15
Step-by-step explanation:
According to the Question,
Given That, A and B be two independent events. If P(A)=3/5 and P(B')=1/3.So, P(B)=1-P(B') ⇒ P(B)=1-(1/3) ⇔ P(B)=2/3
The Product Rule of Probability says For independent events P(A∩B)=P(A)×P(B)P(A∩B)=3/5 × 2/3 ⇒ P(A∩B)=2/5
We know, P(AUB)=P(A)+P(B)-P(A∩B)Thus, P(AUB)= 3/5 + 2/3 - 2/5
P(AUB)=1/5 + 2/3
P(AUB)=(3+10)/15 ⇔P(AUB)=13/15
Now, The Value Of P(AUB)'=1-P(AUB) ⇔ 1 - 13/15 ⇒ P(AUB)'=2/15Line segments AB and CB intersect outside of circle P as shown below. What is the value of x?
Answer:
4.5
Step-by-step explanation:
The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.
Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a ____________of the given expression.
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
=> Factor.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.
[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.
Write an equation for the line that passes through E(4, -3) and is parallel to the line
0 = 5x - 7y - 27 Write the equation in general form.
Answer:
y= 5x/7 -27/7
if they are parallel there gradient is the same
m1=m2
y-y1=m(x-x1)
plug in the gradient and points E
y-(-3)=5/7( x-4)
y= 5/7(x) -20/7 +3
final answer
y= 5/7(x) +1/7
Which expressions are equivalent to 8(-10x+3.5y-7) Select two options
Negative 80 x + 24.5 y minus 56
Negative 80 x + 28 y minus 56
80 x + 28 y + 56
4 (negative 20 x + 7 y minus 14)
Negative 4 (negative 20 x + 7 y minus 14)
Answer:
Negative 80 x + 28 y minus 56
4 (negative 20 x + 7 y minus 14)
in the equation above c is a constantly . if n =5 , what is the value of c ?
Answer:
D
Step-by-step explanation:
Given
5 - [tex]\sqrt{c+5}[/tex] = 1 ( subtract 5 from both sides )
- [tex]\sqrt{c+5}[/tex] = - 4 ( multiply both sides by - 1 )
[tex]\sqrt{c+5}[/tex] = 4 ( square both sides )
c + 5 = 4² = 16 ( subtract 5 from both sides )
c = 11
The value of c is 11 when n = 5.To find the value of c in the equation [tex]n - \sqrt(c + 5) = 1[/tex] when n = 5, you can simply substitute n with 5 and then solve for c.
Given equation: [tex]n - \sqrt(c + 5) = 1[/tex]
Now, replace n with 5:
[tex]5 - \sqrt(c + 5) = 1[/tex]
Next, isolate the square root term by moving the constant term to the other side:
[tex]sqrt(c + 5) = 5 - 1\\sqrt(c + 5) = 4\\[/tex]
Now, square both sides of the equation to eliminate the square root:
[tex](c + 5) = 4^2\\c + 5 = 16[/tex]
Finally, isolate c:
c = 16 - 5
c = 11
So, the value of c is 11 when n = 5.
To know more about equation:
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the length of rope P is three times the length of rope Q. After 10cm of rope is cut from rope P and rope Q respectively, the length of rope P is four times the length of Q. Calculate the original length, in cm, of rope P before it is cut.
Answer:
150 cm
Step-by-step explanation:
The information in the question includes;
The length of rope P = 3 × The length of rope Q
The length of rope P - 10 cm = 4 × (The length of rope Q - 10 cm)
Let p represent the original length of rope P and let q represent the original length of rope Q, we have;
p = 3·q...(1)
p - 10 = 4·(q - 10)...(2)
Expanding equation (2) gives;
p - 10 = 4·q - 40
∴ p = 4·q - 40 + 10 = 4·q - 50
p = 4·q - 50...(3)
Equating the values of p in equation (1) and equation (3) gives;
p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;
3·q = 4·q - 50
50 = 4·q - 3·q = q
q = 50
p = 3·q
∴ p = 3 × 50 = 150
The original length of P before it was cut, p = 150 cm.
A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet. After 3 seconds, the ball is traveling at 96 feet and after 4 second the ball is traveling 128. Is this a proportional relationship?
Answer:
yes
because the descent of the ball is 32m per second
Step-by-step explanation:
To determine if the relationship is proportional, determine the descent of the ball per second
after 2 seconds = 64 / 2 = 32
after3 seconds = 96/3 = 32
after 4 seconds = 128 / 4 = 32
the relationship is proportional
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
Given the equation f(x)=2x^2-14x+10, find g(x), the image of f(x) after a ry=x (reflection over the line y=x). Express your answer as a single fraction.
Given:
The function is:
[tex]f(x)=2x^2-14x+10[/tex]
The function g(x), the image of f(x) after a [tex]r_{y=x}[/tex] (reflection over the line y=x).
To find:
The function g(x).
Solution:
We have,
[tex]f(x)=2x^2-14x+10[/tex]
Substitute [tex]f(x)=y[/tex] in the given function.
[tex]y=2x^2-14x+10[/tex]
The function g(x), the image of f(x) after a [tex]r_{y=x}[/tex] (reflection over the line y=x). So, interchange x and y.
[tex]x=2y^2-14y+10[/tex]
Now, we need to find the value of y.
[tex]x=2(y^2-7y+5)[/tex]
[tex]\dfrac{x}{2}=y^2-7y+5[/tex] [Divide both sides by 2]
[tex]\dfrac{x}{2}-5=y^2-7y[/tex] [Subtract 5 from both sides]
Add both sides half of square of coefficient of y, i.e. [tex](\dfrac{-7}{2})^2[/tex], to make it perfect square.
[tex]\dfrac{x}{2}-5+(\dfrac{-7}{2})^2=y^2-7y+(\dfrac{-7}{2})^2[/tex]
[tex]\dfrac{x}{2}-5+\dfrac{49}{4}=y^2-7y+(\dfrac{7}{2})^2[/tex]
[tex]\dfrac{x}{2}-5+\dfrac{49}{4}=\left(y-\dfrac{7}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]\dfrac{x}{2}+\dfrac{49-20}{4}=\left(y-\dfrac{7}{2}\right)^2[/tex]
Taking square root on both sides, we get
[tex]\pm\sqrt{\dfrac{x}{2}+\dfrac{29}{4}}=y-\dfrac{7}{2}[/tex]
[tex]\dfrac{7}{2}\pm\sqrt{\dfrac{2x+29}{4}}=y[/tex]
[tex]\dfrac{7}{2}\pm\dfrac{\sqrt{2x+29}}{2}=y[/tex]
[tex]\dfrac{7\pm \sqrt{2x+29}}{2}=y[/tex]
Substituting [tex]y=g(x)[/tex], we get
[tex]\dfrac{7\pm \sqrt{2x+29}}{2}=g(x)[/tex]
Therefore, the required function is [tex]g(x)=\dfrac{7\pm \sqrt{2x+29}}{2}[/tex].
Complete the function for this graph.
Answer:
y = |x - (-2)| -3
Step-by-step explanation:
what are important of mountain ?
Answer:
hlw its jess
your answer is here
Mountains are particularly important for their biodiversity, water, clean air, research, cultural diversity, leisure, landscape and spiritual values.Step-by-step explanation:
hope it may help you
mark as brainlist pleaseFind the value of x if 4(6x - 9.5) = 46. Show your work!
[tex] \huge \mathrm{ \underline{Ànswér : }}[/tex]
let's solve for " x "
[tex]➢ \: \: 4(6x - 9.5) = 46[/tex]
[tex]➢ \: \: 6x - 9.5 = \dfrac{46}{4} [/tex]
[tex]➢ \: \: 6x - 9.5 = 11.5[/tex]
[tex]➢ \: \: 6x = 11.5 + 9.5[/tex]
[tex]➢ \: \: 6x = 21[/tex]
[tex]➢ \: \: x = \dfrac{21}{6} [/tex]
[tex]➢ \: \: x = 3.5[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Em 2016 o brasil vendeu para o exterior cerca de 3,5 milhoes de ingressos para espectadores estrangeiros sabendo total de ingressos vendidos é de 7,9 milhoes a quantia de ingressos vendida para a população brasileira foi de? a) 4.050.000 B) 4.400.000 C) 5.000.000 D) 5.500.000
Responder:
4.400.000
Explicação passo a passo:
A quantidade total de ingressos vendidos = 7,9 milhões = 7.900.000
Desse total, o valor vendido ao espectador estrangeiro = 3,5 milhões, = 3,5 milhões
O valor dos ingressos vendidos ao espectador brasileiro será a diferença entre o valor total do ingresso vendido e o total vendido ao espectador estrangeiro.
7.900.000 - 3.500.000 = 4.400.000
Which congruence theorem can be used to prove ABDA - ABDC?
С
B
D
А
OHL
O SSA
O AAS
O SSS
Answer:
SSS
Step-by-step explanation:
Same Sides Subtract
The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
What is the SSS Congruence Theorem?The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.
Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:
BD ≅ BD BA ≅ BCDC ≅ DATherefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
Learn more about the SSS Congruence Theorem on:
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6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)
Answer:
You would do the change in y over the change in x.
That means you subtract your y values and that's the numerator. Subtract your x values and that is your denominator. Then simplify.
(4 - 4)
______
(-2 - 2)
Step-by-step explanation:
Answer: y=4
Step-by-step explanation:
4 is the y-intercept. The slope is 0
The function f(x) = 4x + 8 represents the distance traveled by a herd of elephants in miles. The function g(x) = x − 1 represents the time the herd traveled in hours. Solve f divided by g of 4, and interpret the answer.
Answer:
[tex](f/g)(4)=8[/tex]
Interpretation: 4 elephants traveled at a speed of 8 miles per hour
Step-by-step explanation:
Given
[tex]f(x) = 4x + 8[/tex]
[tex]g(x) = x -1[/tex]
Required
[tex](f/g)(4)[/tex]
This is calculated as:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
We have:
[tex]f(x) = 4x + 8[/tex]
[tex]f(4) = 4 * 4 + 8 =24[/tex]
[tex]g(x) = x -1[/tex]
[tex]g(4) = 4 - 1 = 3[/tex]
So:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
[tex](f/g)(4)=\frac{24}{3}[/tex]
[tex](f/g)(4)=8[/tex]
Answer:
Answer:C) 8; The elephants’ rate in miles per hour
Step-by-step explanation:
First write the question as an equation that can be solved to give you a numerical answer.
[f(4)=4(4)+8] / [g(4)=(4)-1]
Then solve the equation.
24/3=8
Finally use background information to give you the context.
Since the problem gives you the function for distance and the function for time then it can be concluded that the context will be the elephants’ rate in miles per hour
Step-by-step explanation:
No files just type it in
Answer:
ok kdkdkddkkdkdkkfkffk
Answer:
37
Explanation:
3 + 3 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4
if my answer did help mark me as brainlist :D
(G-GPE.B.4) Prove or disprove the triangle with vertices R (−2, −2), S (1, 4), and T (4, -5) is an equilateral triangle.
Answer:
RST is not an equilateral
Step-by-step explanation:
Given
[tex]R = (-2,-2)[/tex]
[tex]S = (1,4)[/tex]
[tex]T = (4,5)[/tex]
Required
Prove or disprove the triangle is equilateral
To do this, we simply calculate the distance between each vertex using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]RS = \sqrt{(-2 - 1)^2 + (-2 - 4)^2}[/tex]
[tex]RS = \sqrt{45}[/tex]
[tex]ST = \sqrt{(1 - 4)^2 + (4 - 5)^2}[/tex]
[tex]ST = \sqrt{10}[/tex]
[tex]RS \ne ST[/tex] means the triangle is not an equilateral
Simplify fully
(x²+3)² - (x²-1)²
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Is it polynomial? In case of a polynomial, write its degree: t^2-1/2t+root 5
Answer:
Step-by-step explanation:
An algebraic expression with non.zero coefficients and variables having non-negative integers as exponents is called a polynomial.
Yes, It is a polynomial. The highest power of the variable is the degree of the polynomial.
So, Degree = 2
120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
Does anyone know the answer ?!??!
Answer:
1/15
Step-by-step explanation:
Step 1 find probability of pulling 1 pink marble
Like stated previously probability = # of favorable outcomes / # of possible outcomes
The favorable outcomes is what we want to happen
We want to pull a pink marble and there are a total of 3 pink marbles
So # of favorable outcomes = 3
To find the # of possible outcomes we simply find the number of marbles. There are a total of ten marbles
So probability of pulling one pink marble = 3/10
Step 2 find the probability of pulling another pink marble ( IMPORTANT NOTE: It says to find the probability of pulling 2 pink marbles if the first one is NOT put back before the second pull. this meaning that we must subtract 1 from the total # of marbles and 1 from the total # of pink marbles )
3 - 1 = 2
10 - 1 = 9
So after the first pull there would be 2 pink marbles out of 9 total marbles
So the probability of pulling a pink marble on the second pull is 2/9
Finally we multiply the two probabilities together to find our answer
3/10 * 2/9 = 1/15
Help and explain pleaseeeeeeee!!!!!
Answer:
The choose (a)
2x+1
Step-by-step explanation:
f(g(x)) = 2(x-3)+7
=2x-6+7
=2x+1
Answer:
2x+1
Step-by-step explanation:
We know that g(x)= x-3
So f(g(x))= f(x-3)
We put it in the equation :
f(x-3)= 2(x-3) +7 = 2x-6+7 = 2x +1
If 52%= 2600 then what would 100% be?
If you will spam don't even click on it
Answer:
5000
Step-by-step explanation:
100/52=?
?x2600=5000
Answer:
x=5000
Step-by-step explanation:
100%=5000
branliest
Quadrilateral MNOP below is a trapezoid. Use the figure to select the best answer from the choices provided
If HG = 6 and PO = 8, what is the length of MN?
A. 4
B. 7
C. 10
D. 14
Answer:
A. 4
Step-by-step explanation:
HG = 6,
PO = 8
HG = ½(PO + MN) => Trapezoid Mid-segment Theorem
Plug in the values into the equation
6 = ½(8 + MN)
Multiply both sides by 2
2*6 = 8 + MN
12 = 8 + MN
12 - 8 = 8 + MN - 8 => Subtraction Property of Equality
4 = MN
MN = 4
Answer:
i think it is 4 because it is lowering by 2 from po-8 to hg-6. my answer: mn-4
Step-by-step explanation:
What is the sum of the fractions? Use the number line to help find the answer.|
+
5
Answer:
-4/5
Step-by-step explanation:
If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)
Answer:
You subtract them:
3/5-7/5 (the plus disappears when faced with a minus)
-4/5