Answer:
4/13
Step-by-step explanation:
We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get [tex]\frac{4}{13}[/tex]
HELP HAVING BAD DAY
Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives to school right before the class starts. Today Jack needs to be at school 4 minutes earlier. How fast does Jack need to run this morning?
Answer:
5mph
Step-by-step explanation:
5mph
In a tropical rain forest, the temperature ranges from 22 degrees Celsius to 30 degrees Celsius. Write and solve a compound inequality that represents the possible temperatures (in degrees Fahrenheit) of a tropical rain forest.
Answer: 71.6°< F< 86°
Step-by-step explanation:
Let C= temperature in tropical rain forest (in Celsius)
Given: In a tropical rain forest, the temperature ranges from 22° C to 30° C.
The compound inequality that represents the possible temperatures of a tropical rain forest.
22° < C < 30°
Since, [tex]\dfrac95C=F-32\Rightarrow\ F=\dfrac95C+32[/tex]
Also, At C= 22 , [tex]F= \dfrac95(22)+32=71.6[/tex]
At C= 30 , [tex]F= \dfrac95(30)+32=86[/tex]
Hence, the compound inequality that represents the possible temperatures (in degrees Fahrenheit) of a tropical rain forest.
71.6°< F< 86°
Answer:
71.6 <= T =<86
Step-by-step explanation:
celsius= 22 a.k.a Fahrenheit= 71.6
celsius= 30 a.k.a Fahrenheit= 86
so the degree ranges from 71.6 or more to 86 or less so
Use T for tempature this is an and problem so you write it like this
71.6 <= T =<86
in english this is saying that T ( tempature ) is more or equal to 71.6 and is less or equal to 86.
Help me please.......
Step-by-step explanation:
Step 1: 5x - 3 + 3 = 12 + 3
Step two: 5x = 15
Step three: 5x/5 = 15/5
Step four: x = 3
Answer:
step one- 5x-3+3=12+3
step two- 5x=15
step three- 5x/5=15/5
step four- x=3
PLS PLS PLS HELP ME!!!
Answer:
The third one x+49+28=180
Step-by-step explanation:
We can say that the angle between the 29° angle and the 49° angle is equal to x, since they are vertically opposite angles.
The sum of 28+49+x is equal to a supplement angle which is a straight line essentially
We can then say x+28+49=180
:)
If you want to calculate x,
x=180-28-49
x=103
Match the statement to its reason
Answer:
A,b,c,n
Step-by-step explanation:
Point B is on line segment AC. Given AC = 2x + 7, BC =x, and AB =5x -9, determine the numerical length of AB
Answer:
11
Step-by-step explanation:
AB = AC-BC
2X +7 -7
OR 5X-9 = X+7
OR X =4
HENCE AB = 5X -9 = 20-9=11
(-2,3) and (-1,-2) in slope intercept form and point slope form
Which of the following are lengths of the sides of a 30°-60°-90° triangle? A. 5√3, 15., 10√3 units B. 3, 4, and 5 units C. √3, 3√3 and 2√3 units D. 5√6, 12√6, and 13√6 units
Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Choose the correct equation of the line
Use the goes information to write the equation of the line
slope 2. intercept - 2
. A y=-2x+2
28. y=22-2
OC. 2x+2y=1
OD. y = - 4x
Answer:
b. y=2x-2
Step-by-step explanation:
y=mx+b
m= slope
b=y intercept
Please help
pythagorean theorem right triangle
Answer:
7^2 +7^2= c^2. c will be your hypotenuse
Step-by-step explanation:
What is the y intercept function f?
how many times greater is the value in 2,341 than the value of the 2 in 1,234
Answer:
It is 11 times greater
Step-by-step explanation:
Answer:
1800 greater than the 2 in 1,234
Step-by-step explanation:
a. Find ∠G =
b. Find TY =
Solution: a. ∠C ≅ ∠D Thus, ∠ = 70° Solution:
help plssssss i need answer
Answer:
See below.
Step-by-step explanation:
∠G = 80°
TY = 15
∠G = ∠T (similar triangles)
OY : UN = 3: 4
TY : GN = x : 20 = 3 : 4
⇒ x/20 = 3/4
⇒ x = 15
How do you solve for n? How do you find the rule? Please help me!
Answer:
The rule is "Subtract 9"
n = 11
Step-by-step explanation:
To find the rule you have to find what's common with all of them. This requires a little bit of testing.
THINK
Do I divide by 10? No because it doesn't work for all of them.
Do I divide by 4? No because it doesn't work for all of them.
Do I subtract by 9? Yes because it works for all of them.
Rules can be a lot of things. Subtraction, multipilcation, division, addition, or with variables.
Put the steps in correct order for the equation Solve 3(2x−7)+5=−19
Answer:
6x-21+5 = -19 Distribute
6x-16 = -19 Combine like terms
6x = -3 Add
x = -1/2 Division
Answer: x=-1/2 in decimal form -0.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(2*x-7)+5-(-19)=0
3 • (2x - 7) + 5) - -19 = 0
Pull out like factors :
6x + 3 = 3 • (2x + 1)
Solve : 2x+1 = 0
Subtract 1 from both sides of the equation :
2x = -1
Divide both sides of the equation by 2:
x = -1/2 = -0.500
Write a proof for the biconditional using the inverse and contrapositive.
x ≥ 4 if and only if 3x ≥ 12.
Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next
Answer:
We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.
Step-by-step explanation:
The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).
A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.
If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).
If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)
Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).
Answer:
We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.
Step-by-step explanation:
A line has the equation y = 6x + 13 What are the coordinates of the y-intercept of the line?
I don't know guys
Answer:
(0, 13)
Step-by-step explanation:
y=mx+b is representative where m is the slope and b is the y intercept. The b here is 13. On the graph, on the line where it crosses the y axis, the coordinates would be (0, 13).
2,000 divided by 5,500
Answer:
4/11 or 0.36
Step-by-step explanation:
What is the solution to this equation?
Answer:
○ [tex]\displaystyle \textcolor{black}{D.}\:x = -100[/tex]
Explanation:
All you need to do is perfourm the the inverce of division [multiplication] to arrive at the result:
[tex]\displaystyle -100 = 5[-20][/tex]
I am joyous to assist you at any time.
John and kim shared $2400 dollars in the ratio 2:6.What is kim's share ?
Answer:
$1800
Step-by-step explanation:
John's portion can be represented as 2x and Kim's portion can be represented as 6x as this will still be in a ratio of 2:6. The total of 2x and 6x equals 2400 so 8x = 2400 so divide both sides by 8 to find that x = 300. Kim's portion is 6x so 6(300) equals 1800.
Round 324,145
to the nearest
hundred thousand.
Answer:
320,145
Step-by-step explanation:
Anything under 5 goes down and anything above 5 goes up.
Answer:
300,000
Step-by-step explanation:
Given the following question:
[tex]324145[/tex]
To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.
[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]
Rounded to the nearest hundred thousand "300,000" is your answer.
Hope this helps.
Can someone help with the third one
Answer: 45%
Step-by-step explanation:
27/60 squares are covered
I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.
What do the slope and y-intercept indicate?
a. The slope indicates that the percent in 1985 should have been about 19%. The y-intercept
indicates that the percent is falling at about 0.4% each year.
b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept
indicates the percent in 1985 should have been about 19%.
C. The slope indicates tha the percent has remained the same for each year. The y-intercept
indicates the percent in 1985 should have been 22%.
d. There is not enough information to determine what the slope and y-intercept indicate.
Answer:NOT C
Step-by-step explanation:
what describes an equation that has a solution set of "all real numbers"
Answer:
Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.
An identity is an equation that, regardless of the values used, is always true.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
An identity is an equation that, regardless of the values used, is always true.
For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.
For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.
More about the solution of the equation link is given below.
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An ice-skating competition lasted three days. Day one had an attendance of 16,390 people. Day two had an attendance of 16,550 people. Day three had an attendance of 16,237 people. Write the days in order from least attendance to greatest attendance. Use words or numbers to show how you know.
Answer:
[tex]Day\ 3 = 16237[/tex]
[tex]Day\ 1 = 16390[/tex]
[tex]Day\ 2 = 16550[/tex]
Step-by-step explanation:
Given
[tex]Day\ 1 = 16390[/tex]
[tex]Day\ 2 = 16550[/tex]
[tex]Day\ 3 = 16237[/tex]
Required
Order from least to greatest
Comparing 16390, 16550 and 16237.
The order of arrangement from least to greatest is:
16327, 16390 and 16550.
So, we have:
[tex]Day\ 3 = 16237[/tex]
[tex]Day\ 1 = 16390[/tex]
[tex]Day\ 2 = 16550[/tex]
Find the area of the triangle below:
Answer:
9 cm^2
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
1/2*b*h (b: base, h: height)
The base is given as 3 and height is 6 so
1/2*3*6 = 9 cm^2 is the answer we are looking for.
please help e with the question #7 ty have a beautiful day
Answer:
each child will get 2 1/3 quarts of juice each
Step-by-step explanation:
Question 7
Total amount of juice = 1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3 = 56/3
Number of children = 8
If the juice was shared equally: 56/3 ÷ 8 = 7/3 = 2 1/3 each
Therefore, each child will get 2 1/3 quarts of juice each
What is 145.4 - 140.02 ?
Answer:
5.38
Step-by-step explanation:
145.4 - 140.02 = 5.38Tiana placed two orders for flowers and bushes. The first order was for 24 flowers and 6 bushes. The total cost of the first order was $144. The second order was for 18 flowers and 3 bushes. The total cost of the second order was $90. What is the cost of each plant?
Answer:
Step-by-step explanation:
24x + 6y = 144.
18x + 3y = 90.
Divide the (24x + 6y = 144) by 3.
8x + 3y = 48.
18x + 3y = 90.
Cancel the 3y.
8-18x = -10x.
48-90 = -42.
-10x = -42.
x = 4.2
8(4.2) + 3y = 48.
33.6 + 3y = 48.
Cancel out the whole number.
3y = 14.4
y = 4.2
The cost of a flower is $3 and a bush is $12.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
Tiana placed two orders for flowers and bushes.
The first order was for 24 flowers and 6 bushes.
The total cost of the first order was $144.
The second order was for 18 flowers and 3 bushes.
The total cost of the second order was $90.
Let x be the number of flowers and y be the number of bushes.
So, we have a system of equations,
24x + 6y = 144
18x + 3y = 90
Simplifying,
4x + y = 24
6x + y = 30
Subtracting the equations,
we get,
2x = 6
x = 3, and y = 12
Therefore, the solution is x = 3, and y = 12.
To learn more about the system of equations;
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