Answer:
The value of the fractions remain the same
Step-by-step explanation:
Take for instance;
Let the fraction be represented by [tex]\frac{a}{b}[/tex]
Multiplying both ends of the fraction by 4 gives [tex]\frac{4 * a}{4 * b}[/tex]
Now, assume that a = 1 and b = 2
The original fraction becomes [tex]\frac{1}{ 2}[/tex]
[tex]\frac{1}{2} = 0.5[/tex]
The new fraction becomes [tex]\frac{4 * 1}{4 * 2}[/tex]
[tex]\frac{4 * 1}{4 * 2} = \frac{4}{8}[/tex]
[tex]\frac{4}{8} = 0.5[/tex]
Notice that the values of both fraction are the same;
Conclusively, when the numerator and denominator of a fraction by 4; the value of both fractions remain the same
Answer:
The new fraction has the same value as the original fraction but it has 4 times as many parts.
Step-by-step explanation:
The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)
Answer:
Option (A)
Step-by-step explanation:
Parent function of the function graphed is,
G(x) = x²
Graph shows the vertex of the given parabola is at (3, 3).
Vertex form of a parabola is,
F(x) = a(x - h)² + k
where (h, k) is the vertex.
By substituting the coordinates of the vertex in the equation,
F(x) = a(x - 3)² + 3
Since the given parabola is opening upwards, value of 'a' will be positive.
So the equation will be,
F(x) = 2(x - 3)² + 3
Therefore, from the given options, equation given in Option (A) matches the answer.
Answer:
A is the correct answer.
Step-by-step explanation:
Jordan said 60% of 150 people is 80 people. His work is shown below. Is his answer correct? Explain why or why not.60% of 150 = 10% + 50% = 5 + 75 = 80
Answer:
No, see below.
Step-by-step explanation:
10% of 150 is .1 times 150= 15
15+75=90
So, Jordan is incorrect.
Please answer this now. Really badly needed.
Answer:
70
Step-by-step explanation:
We know that 50+ O + 60 = 180 since it forms at straight line
110 + O = 180
O = 180-100
O = 70
We know that O and x are equal since the are vertical angles
X = 70
C) 70 degrees
Angle POQ = 70 because supplementary angles.
Vertical angles then says that x = 70
Can you please say if the point will be on the line?
Answer:
The point will be on the line.
Step-by-step explanation:
Find y Please explain step by step
Answer:
We can prove that ΔTVU ≅ ΔTXW because of SAS (TU = TV = TW = TX because they are all radii and all radii of the same circle are congruent, ∠UTV = ∠WTX, that is given). Because of this, UV = XW due to CPCTC so we can write:
2y - 3 = y + 4
y = 7
Sorry the question before didnt make sense.heres the full pic .
Answer:
No
Step-by-step explanation:
The question is:
Are 3/5 and 6/25 equivalent fractions?
Multiply the first fraction by 5/5:
3/5 * 5/5 = 15/25
3/5 is equivalent to 15/25
15/25 is not equal to 6/25.
Answer: No
If a = b and b = C, which statement must be true?
A. a = c
O B. -a = -6
C. Ca
D. -a = C
Answer:
A. a = c
Step-by-step explanation:
If a = B and b = C then b and C are the same so a = b is also saying a = C.
Answer:
A
Step-by-step explanation:
a = b
b = c
Put b as a in the second equation.
b = c
(a) = c
a = c
A polygon is shown: A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units. The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units
i think its 2
Answer:
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.
Step-by-step explanation:
We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.
The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.
As we know that the area of the rectangle = [tex]\text{Length of rectangle} \times \text{Breadth of rectangle}[/tex]
In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.
So, the area of the rectangle MNTR = [tex]\text{Length (MN)} \times \text{Breadth (MR)}[/tex]
= [tex]5 \times 3[/tex] = 15 square units
Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit
Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units
Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.
So, the area of the rectangle OPTQ = [tex]\text{Length (TQ)} \times \text{Breadth (OT)}[/tex]
= [tex]2 \times 1[/tex] = 2 square units
Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is _2_ square units.
Answer:
7
Step-by-step explanation:
Find the value of the trigonometric ratio, cos M.
Answer:
The answer is option D.
Step-by-step explanation:
cos M = adjacent / hypotenuse
From the picture
b is the adjacent
x is the hypotenuse
so
cos M = b/x
Hope this helps you
A 40 amp fuse carries a temporary 9 % current overload. How many
amps of current flow through the fuse during the overload?
Answer:
43.6 amp
Step-by-step explanation:
Given
A 40 amp fuse carries a temporary 9 % current overload.
9% current overload means that whatever will be the normal current carrying capacity of fuse, during overload it carries 9% more than that.
Current carrying capacity of fuse is 40 amp.
during overload it carries 9% more
over load current = 9% of 40 amp = 9/100 *40 = 3.6 amp
total current flowing through fuse during overload = 40 amp + 3.6 amp
= 43.6 amp (answer)
helpp!!! thank how would you do this i got -6 is that correct
Answer:
-2
Step-by-step explanation:
hello
output means that you have to check in the f(x) column
the answer is -2
hope this helps
3/5 = q/10 solve for q
Answer:
6
Step-by-step explanation:
3/5 multiplied by 2.
So 3 times 2 = 6 and 5 times 2 = 10
then put 6 and 10 to 6/10
Answer: q=6
Step-by-step explanation:
We can solve this by using cross multiplication
We multiply the values across from each other
3x10=5q
From here, we simply multiply 3 and 10 to get 30 then divide by 5
30=5q
q=6
PLEASE HELP ME!!!
ABCD is a rectangle in the coordinate plane. Give possible coordinates for the vertices of rectangle ABCD.
How do you know that your vertices form a rectangle?
Answer:
(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.
:)
Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will it be before he overtakes Jim?
Answer:
26 2/3 minutes: The two boys meet after 26 2/3 minutes
Step-by-step explanation:
Distance covered by Jim = Distance covered by Bob
(5 mph)(t) = (8 mph)(t - 10)
Simplify this by performing the indicated multiplication:
(5 mph)(t) = (8 mph)(t) - 80 mi
or:
80 mi = (3 mph)(t), or
80 mi
t = ----------- = 26 2/3 minutes
3 mph
Which is the solution of the quadratic equation (4y - 3)2 = 72?
y
3 +/Z and y
y=
3-6/2
4
3+62
y=
and y=
-3 – 6/2
4
4
0
y=
9/2
4
and y= -3/2
4
9/2
4.
y=
3/2
and y=
4
Answer:
Step-by-step explanation:
Let's solve (4y - 3)^2 = 72 for y. To do this, take the square root of both sides. This yields:
4y - 3 = ±√72 = ±√(36·2) = ±6√2
Then 4y = 3 ±6√2, or
3 ± 6√2
y = ----------------
4
The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.
Solution of the quadratic equation (4y - 3)2 = 72 to be determine.
Quadratic equation are the equation having maximum power 2.
Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4
Thus, The required solution of quadratic equation is y = (3±6√2)/4.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
#SPJ5
Pls help, with explanation :) I will give brainliest
Answer:
C,110°
Step-by-step explanation:
when the angle on circumference=50°
then the angle at center=2×50=100°
other angles of this triangle are equal and each=1/2(180-100)=1/2×80=40
so angle of quadrilateral=30+40=70°
as opposite angles of a cyclic quadrilateral are supplementary.
so y+70=180
y=180-70=110°
Solve for x x-xy=z Hint: reverse distribution to get x alone
Work Shown:
x - xy = z
x*1 - x*y = z
x*(1 - y) = z .... distributive rule in reverse
x = z/(1-y) ..... divide both sides by (1-y)
The distributive rule is a*(b+c) = a*b+a*c. You can also say a*(b-c) = a*b-a*c. In this case, we factored out the common factor x.
Consider the polynomial expression below.
(3x - 4xy + 2)(-x +4x - 5)
What is the product of the polynomial expression?
Find the missing side to the triangle in the attached image.
x = 14
Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse. Thus, 48^2 + x^2 = 50^2. Thus, 2304 + x^2 = 2500. Thus, x^2 = 196. Thus, x = 14
Hope it helps <3
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
Answer:
[tex]C. \[/tex] [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
Step-by-step explanation:
Given
[tex]x = 2[/tex]
[tex]y = 5[/tex]
Required
[tex]\frac{1}{2}x^3 + 3.4y[/tex]
Substitute 2 for x and 5 for y;
The expression becomes
[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]
Multiply 3.4 by 5
[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]
---------------------------
[tex]2^3 = 2 * 2 * 2 = 8[/tex]
--------------------------
[tex]=\ \frac{1}{2} * 8 + 17[/tex]
[tex]=\ \frac{8}{2} + 17[/tex]
[tex]=\ 4 + 17[/tex]
[tex]=\ 21[/tex]
Hence;
[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
Which system of equations can be used to find the roots of the equation 4 x squared = x cubed + 2 x?
Answer:
y= 4 x squared
y = x cubed + 2 x
Step-by-step explanation:
Answer:
D: y= 4x^2
y= x^3+2x
Step-by-step explanation:
got it right on edg
2^33*2^12 / 2^8 RAISED TO A SINGLE POWER
━━━━━━━☆☆━━━━━━━
▹ Answer
2³⁷
▹ Step-by-Step Explanation
2³³ * 2¹² ÷ 2⁸
Multiply
2³³ * 2¹² * 2⁻⁸
Calculate
2³³ ⁺ ¹² ⁻ ⁸ = 2³⁷
Final Answer
2³⁷
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Which is not a function?
Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?
Step-by-step explanation:
The question has missing details nevertheless we can make head way with the information on ground.
Given that Laura's overall monthly living expenses are $1,600
in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).
Say this overall amount is "x"
her saving for the month = [tex](x- 1600)[/tex]
3/4 gal orange juice 3pt. Ginger ale 1 1/2 c. Pineapple juice what is the final volume in mL?
Answer:
≈ 4614 mL
Step-by-step explanation:
I'm guessing you want to add them. So, let's convert them all to mL first and then add them!
3/4 gallons (U.S. I'm assuming) ≈ 2839 mL OJ
3 pints (U.S. I'm assuming) ≈ 1420 mL GA
1.5 cups (U.S. I'm assuming) ≈ 355 mL PJ
Add them up and you get around 4614 mL of a disgusting mixture of juice. I hope this is what you were looking for!
Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.40 per pound, and type B coffee costs $4.30 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $434 . How many pounds of type A coffee were used?
Answer:
x=31
Step-by-step explanation:
Easiest using two variables.
a for type A
b for type B
Part of the description says symbolically .
Total blend quantity was but the value for this quantity of blend not given. Information is given to account for cost of the blend.
Question asks, find the value of a.
b=2a
-
substitute into cost equation.
5.40(x)+4.30(2x)=434
x=31
Hope this helps!
Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for both chairs during the sale, not including tax?
Answer:
tatol price= $335.16
Step-by-step explanation:
regular price for one item= $168
sale=1/2 %
168 × 0.5/100 = 0.84 (discount)
price of discounted chair= 168-0.86
= 167.16
168+167.16 = $335.16
(HELP ASAP!)
Write and solve an equation using the descriptions below.
Ten less than the quotient of a number and 3 is 6.
Seven plus the quotient of a number and 5 is -12.
Eight times the difference of a number and 3 is 40.
The difference of twice a number and 7 is 9.
Answer:
Step-by-step explanation:
1) Let the number be x
Quotient of a number & 3 : x/3
Ten less than the quotient of a number : (x/3) -10
[tex]\frac{x}{3}-10=6[/tex]
Add 10 to both sides
[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]
Multiply both sides by 3
[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]
2) Let the number be x
Quotient of a number & 5 : x/5
Seven plus the quotient of a number : (x/5)+7
[tex]\frac{x}{5}+7=-12\\[/tex]
Subtract 7 form both sides
[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]
Multiply both sides by 5
x = -19*5
x = -95
3) Let the number be x
Difference of a number and 3 : x - 3
Eight time the difference of a number & 3: 8*(x-3)
8*(x - 3 ) = 40
Divide both sides by 8
[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]
x - 3 = 5
Add 3 to both sides
x - 3 +3 = 5 +3
x = 8
4) Let x be the number
Twice a number : 2x
The difference of twice a number and 7: 2x - 7
2x - 7 = 9
Add 7 to both sides
2x - 7 + 7 = 9 + 7
2x = 16
Divide both sides by 2
2x/2 = 16/2
x = 8
HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation
Answer:
The standard deviation of the given data is 11.34.
Step-by-step explanation:
We have to find the standard deviation for the given data;
Grade on No. of students
test (X) with that score (f) [tex]X \times f[/tex] [tex]( X - \bar X)^{2}[/tex] [tex]f \times ( X - \bar X)^{2}[/tex]
50 1 50 1073.218 1073.2176
57 2 114 663.578 1327.1552
60 4 240 518.018 2072.0704
65 3 195 315.418 946.2528
72 3 216 115.778 347.3328
75 12 900 60.218 722.6112
77 10 770 33.178 331.776
81 6 486 3.098 18.5856
83 6 498 0.058 0.3456
88 9 792 27.458 247.1184
90 12 1080 52.418 629.0112
92 12 1104 85.378 1024.5312
95 2 190 149.818 299.6352
99 4 396 263.738 1054.9504
100 5 500 297.218 1486.088
Total 91 7531 11580.68
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X \times f}{\sum f}[/tex]
= [tex]\frac{7531}{91}[/tex] = 82.76
Now, the standard deviation of the data is given by;
Standard deviation, S.D. = [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]
= [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]
= 11.34
Hence, the standard deviation of the given data is 11.34.
*PLEASE ANSWER!!* (: What is the length of the arc QR?
Answer:
[tex] \frac{20}{3}\pi [/tex]
Step-by-step explanation:
[tex]l \widehat{(QR)} = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{ 120 \degree}{360 \degree} \times 2\pi \times 10 \\ \\ = \frac{ 1}{3} \times 20\pi \\ \\ \huge \red{ \boxed{ l \widehat{(QR)} = \frac{20}{3}\pi }}[/tex]