Answer:
A
Step-by-step explanation:
what are fractions that are equivalent to 4/20?
Answer: 1/2, 2/10, and 3/15
Explanation: Let's find 3 fractions that are equivalent to 4/20.
To find 3 fractions that are equivalent to 4/20,
notice that 4/20 is not in lowest terms.
In this situation, let's first rewrite 4/20 so that it's in lowest terms.
To do this, we divide the numerator and denominator by the
greatest common factor of 4 and 20, which is 4, and we have 1/5.
Since 1/5 is equivalent to 4/20, we can use
1/5 to find more equivalent fractions.
If we multiply 1/5 by 2 in both the numerator and
denominator, we get the equivalent fraction 2/10.
If we multiply 1/5 by 3 in both the numerator and
denominator, we get the equivalent fraction 3/15.
So 4/20 is equivalent to 1/5, 2/10, and 3/15.
Note that these are just 3 possible answers.
There are many other fractions that are also equivalent to 4/20.
PLEASE HELP I AM IN A RUSH: Rita is developing an equation that will represent the same proportional relationship as the graph. On a coordinate plane, a line goes through points (0, 0) and (4, 7). How will the ordered pair help her when she finds the equation? The product of the coordinates will be a constant term in the equation. The quotient of the coordinates will be a constant term in the equation. The product of the coordinates will be a coefficient in the equation. The quotient of the coordinates will be a coefficient in the equation.
Answer:
D. The quotient of the coordinates will be a coefficient in the equation.
Step-by-step explanation:
Given a line through (0,0) and (4,7)
the slope of the line is m = (7-0) / (4-0) = 7/4
The equation of the line is
y = mx
Therefore
The quotient of the coordinates will be a coefficient in the equation.
Answer:
D
Step-by-step explanation:
If y varies inversely with x and y=17 when x=11 find y when x=19
Which of the following equations describes the graph?
Answer:
I Think it is the 3rd equation
Step-by-step explanation:
What is the solution to the system of equations?
(x + 4y – z = 5
3x – 2y + 2z = 7
2x – z= -2
Answer:
x = 1, y = 2, z = 4
Step-by-step explanation:
(x + 4y – z = 5
2(3x – 2y + 2z = 7 )
6x - 4y + 4z = 14
7x + 3z = 19
3(2x – z= -2)
6x - 3z = -6
13x = 13
x = 1
6(1) - 3z = -6
-3z = -12
z = 4
(1) + 4y - 4 = 5
4y = 8
y = 2
A circle has a circumference of 3.143.143, point, 14 units. What is the diameter of the circle?
Answer:
The diameter is 1.
Step-by-step explanation:
The circumference is 3.14 units
C = pi * d
Using 3.14 for pi
3.14 = 3.14 d
Divide each side by 3.14
3.14/3.14 = 3.14 d/ 3.14
1 =d
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
Which of the following equations have exactly one solution? Choose all answers that apply: A.6x-15=6x+15 B.6x-6=6x+15 C.6x+15=6x+15 D.6x-6=15x+15
Answer: D
Step-by-step explanation:
In every other solution, x gets canceled out, so it has no impact on the equation. Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.
Further proof:
6x-6=15x+15
Add(6)
6x=15x+21
Subtract(15x)
-9x=21
Divide(-9)
x = -2 3/9
Hope it helps <3
Answer:
d) 6x - 6 = 15x + 15
Step-by-step explanation:
Well let’s solve.
a)
6x - 15 = 6x + 15
Lets use the communicative property which is the moving of numbers.
We can start with -15, so we do +15,
6x = 6x + 30
Then we can do -6x
0 = 30
This is a false statement meaning there is no solution.
b)
6x - 6 = 6x + 15
We can start by doing +6
6x = 6x + 21
-6x
0 = 21
Again, this is a false statement meaning this has no solutions.
c)
6x + 15 = 6x + 15
So we do -15
6x = 6x
If this is the case then there is infinitely many solutions.
d)
6x - 6 = 15x + 15
So we can start by doing +5p6
6x = 15x + 21
Then we can do -15x
-9x = 21
then we can do 21 / -9 which is -2 1/3.
x = -2 1/3
So this has one solution.
help me please it will save my life
Answer: 197
Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
Answer:
35 red marbles
Step-by-step explanation:
The total number of marbles the student recorded is 20
Now we have to make a ratio of red to the total number of marbles
That would be 7 : 20
After this, there will be a new ratio which is x : 100
Lastly we will solve for x making the equation 20x = 700, x = 35
We can calculate E the amount of euros that has the same value as D u.s dollars using the equation E=17/20D. How many euros have the same value as 1 US dollar? How many US dollars have the same value as 1 euro?
Answer:
You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.
I need the answer ASAP
Answer:
5
Step-by-step explanation:
When squaring the number 5 (i.e [tex]5^2[/tex] ) the answer is 25. [tex]5^{2}[/tex] is the same thing as 5 times 5. Basically with the square root, you are going backwards, so you are therefore finding the base of it all.
We have a square that has area of 25 square units. The question is: what is the side length? That would be 5 since 5*5 = 25. You would use guess and check if you weren't familiar with square roots. A better option is to use the square root function on the calculator.
Note: the square root undoes the squaring operation
Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Answer:
[tex]2h^{2} + 7hk - 15k^{2}[/tex]
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric PLEASE ANSWER THIS IS MY 4TH TIME ASKING BRAINLIEST AND 43 POINTS Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answer:
Mean
Step-by-step explanation:
The numbers have a very large range. So you should use the mean(or average) to get more accurate data.
in the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
Answer:
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
Step-by-step explanation:
According to the trigonometric ratios in aright triangle :
[tex]\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}[/tex]
Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
[tex]\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63[/tex] ...(ii)
From (i) and (ii), we have
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
Which could be the areas of the smaller squares?
Answer:
A, BStep-by-step explanation:
We have a right triangle. Therefore, we can use the Pythagorean theorem:
The sum of the areas of the squares built on the legs is equal to the area of the square built on the hypotenuse.
We have the area of the largest square (the square built on the hypotenuse).
A₃ = 36 u²
From the Pythagorean therem we have the equation:
A₃ = A₁ + A₂
We need the areas of the smaller squares (A₁ and A₂).
A₁ + A₂ = 36.
From the second picture, we have:
A) 6 and 30 → 6 + 30 = 3 CORRECT
B) 8 and 28 → 8 + 28 = 36 CORRECT
C) 4 and 16 → 4 + 16 = 20 ≠ 36 INCORRECT
Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6, 0) and (negative 8, 6). y = 3 x minus 7 y = negative 3 x + 3 y = one-third x + StartFraction 7 Over 9 EndFraction y = negative one-third x + 12
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are (-6,0) and (-8,6)
Finding slope of the line
Slope = [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{6-0}{-8+6}[/tex]
Slope =[tex]\frac{6}{-2}[/tex]
Slope = -3
Parallel lines have equal slopes.
So, the line which is parallel to this line is y = negative 3 x + 3
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are given (-6, 0) and (-8, 6)
Find slope of the line.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6-0}{-8--6}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
Parralel lines have same slope.
y = mx + b
m = -3
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
How do you prove a parallelogram using these 2 triangles, somebody needs to explain this to me?
RQP=ONP
Since R is the midpoint of MQ, then MR and RQ are equal.
Since R is the midpoint of MQ, then P must be the midpoint of NQ
The triangles are congruent and the trapezoid is three or those triangles.
RQR reflected is a triangle inside the trapezoid. The triangles at the left and right of the trapezoid are congruent.
Since all the triangles are the exact same, then they have the same height and same length.
So you connect them without like sliding a triangle up a little bit.
The 4 congruent triangles add up to be a parallelogram.
I don't know if this is what you learned in class or where ever you did learn it but this is my way (not where-I-learned-it-from's way).
Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
2(3 – 4a) + 5(a – 7)
Answer:
The answer is -(29+3a).
Step-by-step explanation:
=2(3-4a)+5(a-7)
= 6- 8a +5a -35
= 6-35-8a+5a
= -29-3a
= -(29+3a)
Hope it helps..
Answer:
- 29 - 3aStep-by-step explanation:
[tex]2(3 - 4a) + 5(a - 7)[/tex]
Distribute 2 through the parentheses
[tex] = 6 - 8a + 5(a - 7)[/tex]
Distribute 5 through the parentheses
[tex] = 6 - 8a + 5a - 35[/tex]
Calculate the difference
[tex] = - 29 - 8a + 5a[/tex]
Collect like terms
[tex] = - 29 - 3a[/tex]
Hope this helps...
Best regards!!
Which expression is equivalent to 15 (n+3/n) ?
£
N=10
Answer:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
Step-by-step explanation:
Given expression : [tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
Solving further:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
[tex]\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So,[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So, Option A is true
Hence the given expression is equivalent to Option A
Answer:
a
Step-by-step explanation:
edg 21 ^u^
What is the value of x?
sin(x + 22)° = cos(2x - 7)º
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
Find (-3/7) ÷ (-1 1/14). a. 45/98 b. 2/5 c. 2 1/2 d. -2/5
Answer:
B 2/5
Step-by-step explanation:
Used a calculator.
David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?
Answer:
B. 1 must be a root of the polynomial 3x^2+x-4
Step-by-step explanation:
Given polynomial
3x^2+x-4
Divided by factor x-1
Gives a remainder of 0
Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4
If x-1 is a factor of the polynomial, we can equate x-1 to 0
x-1=0
Solve for x to get one of the roots
x-1=0
Add 1 to both sides
x-1+1=0+1
x=1
B. 1 must be a root of the polynomial 3x^2+x-4
When construction an equilateral triangle, what step comes after six arcs created on the circle ?
Answer:
Connect every other intersection of an arc and the circle with a segment.
Step-by-step explanation:
Connect every other intersection of an arc and the circle with a segment.
Answer:
a) Connect every other intersection of an arc and the circle with a segment.
b) Connect the intersections of the diameters and the circle with a segment.
c) Connect every intersection of an arc and the circle with a segment.
d) Connect the intersections of the perpendicular bisector and the circle with a segment
HOPE THIS HELPS :)
FIRST GETS BRAINLLEST Jackie is trying to reproduce a scale drawing where every 2 cm will be equal to 2.5 feet. How long should Jackie make the yellow line, in feet?
Answer:
7.5 feet
Step-by-step explanation:
If we look at the yellow line, it is 6 cm.
To find how many times 2cm goes into 6cm, we divide.
[tex]6\div2=3[/tex]
So, if we reproduce the shape for every 2 cm, we have to multiply the value by 3.
Since every 2 cm will be equal to 2.5 feet, we can multiply the values.
[tex]2.5\cdot3=7.5[/tex]
So Jackie should make the yellow line 7.5 feet long.
Hope this helped!
Answer:
The answer is 7.5 feet
Step-by-step explanation:
Kakadk.
PLS HURRY FIRST ONE TO DO IT GETS BRAINLEIST Maria and her classmates are standing with other people in a line of 35 people waiting to buy tickets. Maria is last in this line of classmates and 20th from the front of the whole line. Maria's classmate leading the line of classmates is 23rd from the end of the whole line. How many classmates does Maria have?
Answer:
7 classmates
Step-by-step explanation:
The last person in the line is in position 35.
The Maria's leading classmate is in the position 35-23+1 = 13.
So, Maria's classmates are from position 13 to 19 (not including herself), and their number is 19-12 = 7 persons.
ANSWER. Maria has 7 classmates (not including herself).
Hope this helps.
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC? Question 20 options: A) 225 units B) 37.5 units C) 25 units D) 150 units
Answer:
b)37.5
Step-by-step explanation:
the ratio 3:2 is the same as 1.5, so you multiply 1.5 & 25 to get 37.5 units
The required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Given that,
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC?
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
3/2ΔMNO = ΔABC
The perimeter of the ΔABC = 3/2 The perimeter of the ΔMNO
The perimeter of the ΔABC = 3 / 2 [25]
The perimeter of the ΔABC = 37.5
Thus, the required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Learn more about Scale factors here:
https://brainly.com/question/22312172
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What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth. Negative 5 x minus 12 y = negative 8. 5 x + 2 y = 48.
Answer:
5x+2y=48 or 5x-12y=-8
The value of x is 5 and y is 4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The Equations are:
5x - 12y= -8...................(1)
and, 5 x + 2 y = 48 ..................(2)
Solving the Equation (1) and (2) we get
-12y -2y = -8 - 48
-14y = -56
y= -56 /(-14)
y = 4
and, 5x +2y= 48
5x + 8 = 48
5x= 40
x= 5
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