Answer:
Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6
Step-by-step explanation:
Let the shell collection of Brittany = x
She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.
Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]
[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]
Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]
= [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]
= [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]
= 6
Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6
if x is subtracted from 5 and the result is greater than 15. Find the range of values of x
Answer:
x<-10
Step-by-step explanation:
You can write this inequality:
5-x>15
Solving it:
5-x>15
-x>10
x<-10
Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number
Answer:
1 8/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
15/21+14/21=29/21
Jack is going to make treat bags to hand out on
Halloween. He is going to put a variety of candy in each
bag. To make 4 treat bags he will need 24 candies. How
many candies will he need to make 10 treat bags?
Answer:
60 candies
Step-by-step explanation:
determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
Write the equation for the graphed function
Answer:
4x² + 16x + 15 = 0
Step-by-step explanation:
We'll begin by determining the solutions to the graph.
The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:
The solutions to the graph are:
x = –1.5 or –2.5
Finally, we shall determine the equation for the graph as follow:
x = –1.5 or x = –2.5
x = –3/2 or x = –5/2
Cross multiply
2x = –3 or 2x = –5
Rearrange
2x + 3 = 0 or 2x + 5 = 0
Combine
(2x + 3)(2x + 5) = 0
Expand
2x(2x + 5) + 3(2x + 5) = 0
4x² + 10x + 6x + 15 = 0
4x² + 16x + 15 = 0
Thus, the equation for the graph is:
4x² + 16x + 15 = 0
Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week.
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
The model below is shaded to represent 7 3/10
Answer:
blue 7.3
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3
Find the missing side. Round
to the nearest tenth.
Х
141
43°
у
X=[?]
Answer:
x = 206.7
Step-by-step explanation:
law of sines:
sin 90° / x = sin 43° / 141
sin 43° · x = 141
x = 141 / sin 43°
The measure of the length of the hypotenuse is 206.75 and the measure of the length of the base is 151.20 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The perpendicular is 141 and the angle opposite to the perpendicular is 43 degrees. Then the value of the base and hypotenuse will be
The length of the base will be
[tex]\rm \dfrac{141}{y} = \tan 43^o\\\\y\ \ \ = \dfrac{141}{ \tan 43^o}\\\\y \ \ \ = 151.20[/tex]
Then the length of the hypotenuse will be
[tex]\rm x = \dfrac{141}{\sin 43^o}\\\\x = 206.75[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
factor the expression-15x +39
Answer:
3(5−13)
Step-by-step explanation:
..............
Answer:
-3(5x-13)
Step-by-step explanation:
The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.
Which side lengths form a right triangle?
Choose all answers that apply:
A
3.4.5
B
7.8.9
3.9.95
Answer:
A. 3.4.5
Step-by-step explanation:
I looked it up and it forms a right angle.
Which of these polygons is not a regular polygon?
B
С
D
А
B
A
Answer:
B. A regular polygon is a shape with sides that are all equal to each other.
We see that for shape B, the sides are not equal to each other, as some sides are longer than others.
Hope this helps!
A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?
Answer:
620 milliliters
Step-by-step explanation:
1 milliliter= 0.001 liters
0.62L= move the decimal point 3 places to the left
0.62
06.2
062.
0620.
620 milliliters
If the cost of 10 tables is $750. Find the number of tables that can be purchased with $8250.
If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8
Answer:
m<5=101.9 m<8=101.9
Step-by-step explanation:
alternate interior and vertical angles
Answer:
(a) m∠5=<4[alternate angle]=101.9°,
(b) m∠8=<5[vertically opposite angle]=101.9°,
A small water bottle holds 75% as much as a larger water bottle, if the smallholds 36 units, how much does a large hold
Answer:
48 units
Step-by-step explanation:
36 is 75% of what number
36 = .75n
n = 36/.75
n = 48
Find the y intercept and x intercept of the line below.
f(x) = x? – x3
Select the value of f(-2)
4
-12
12
A
B
C D
Step-by-step explanation:
f(x) = x² - x³
f(-2) = (-2)² - (-2)³
= 4 - (-8)
= 4 + 8 = 12
Can anyone help me pweeezzzz
Answer:
17
Step-by-step explanation:
ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.
in order to find the measurement of ABC, you first need to solve for z.
since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.
9z - 1 + 6z + 58 = 87
combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)
9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87
combine the next set of like terms.
15z - 1 + 58 = 87 ⇒ 15z + 57 = 87
subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.
divide both sides of the equation by 15.
15z/15 = 30/15 ⇒ z = 2
now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.
ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17
CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70
now, your measurements are
ABD: 87
ABC: 17
CBD: 70
check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.
17 + 70 = 87
87 = 87
since both sides of the equation are equal to 87, you know that your measurements are correct.
therefore, the measure of ABC is 17 degrees.
Can someone please help me with continuity? I would like to check my work, I’m a bit confused on the differentiability part
For f to be continuous at some point x = c, you require that
• f(c) exists and is finite, and
• the limits of f as x approaches c from either side match, and their value must be f(c)
For f to be differentiable at x = c, you require that
• f is continuous at c (i.e. the above conditions are all met), and
• the derivative f ' is continuous at c
Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.
Some examples:
• every polynomial is both continuous and differentiable
• the absolute value function |x| is continuous but not differentiable at x = 0
• 1/x is neither continuous nor differentiable at x = 0
(a) Neither continuous nor differentiable
Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.
(b) Neither continuous nor differentiable
Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.
(c) Neither continuous nor differentiable
Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).
If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.
(d) Both continuous and differentiable
Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.
(e) Neither continuous nor differentiable
Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.
solve and receive brain list
Answer:
x = 19/22
Step-by-step explanation:
8x-12+36x = 26
44x - 12 = 26
44x = 38 (add 12 on both sides)
x = 19/22 (divide bot sides by 44 and simplify)
WILL MARK BRAINLIST JUST ANSWER QUICKLY
A puddle originally contained 5 gallons of water. After a hot day, only 3.5 gallons of water remain.
What is the percent decrease?
Enter your answer in the box.
Answer:
The answer is 30%
Step-by-step explanation:
((5-3.5)/5) × 100%
Answer:
30%
Step-by-step explanation:
the other guy is right
Use the coordinates of the labeled point to find the point-slope equation of
the line
812-18
O A. y + 1 = -2(x - 2)
O B. y-2-2(x+1)
O C. y- 1 = -2(x + 2)
O D. y-2 = 2(x + 1)
Answer: y+1 = -2(x-2) is the correct answer
Step-by-step explanation: I just took the exam :)
In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer
Answer:
77 = m∠D = m∠E
Step-by-step explanation:
In a triangle the sum of the measures of the angles = 180. So m∠D + m∠E + m∠F = 180
Let m∠D = m∠E = x
Then x + x + 26 = 180
2x + 26 = 180
2x = 154
x = 77 = m∠D = m∠E
What is the value of x?
HELP HELPOPPPP-EWOPW0E HELP PLSSSSS
Answer:
6 more girls than boys
Step-by-step explanation:
5 out of 12 are boys (multiply both sides of equation by 3 because 3x12 = 36)
7 out of 12 are girls (multiply both sides of equation by 3 because 3x12 = 36)
so: 15 out of 36 are boys
so: 21 out of 36 are girls
21-15 = 6 more girls than boys
Answer: There are 6 more girls than boys
Step-by-step explanation:
To find how many more girls there are we need to find what one block equals to.
We use this equation to find it.
36 = ( 5 + 7 )x
36 = 12x
3 = x
or
x = 3 (same thing)
So each block represents 3 girls/boys
The girls have 2 more meaning there are 6 more girls than boys.
Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?
Answer:
x= -15/2 or -7.5
x= -1/2 or -0.5
Step-by-step explanation:
please make me brainliest
Answer:
Not C
Step-by-step explanation:
wrong
What is the answer. I can’t figure out the formula
9514 1404 393
Answer:
Angles 4, 5, 6, 7, 8, 9 are 82°Angles 1, 2, 3, 10, 11, 12 are 98°Step-by-step explanation:
Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.
The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.
Angles 4, 5, 6, 7, 8, 9 are 82°
Angles 1, 2, 3, 10, 11, 12 are 98°
_____
As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.
What is 5/10 = x/100
Answer:
= 50
Step-by-step explanation:
Team A scored the following points per game 20,17,25,25,13,25,12,25,25 and 23 team B scored the following points per game 25,25,9,10,25,11,25,15,10 and 25 what is the mean of team A and team B
Answer:
Mean of team A = 21
Mean of team B = 18
Step-by-step explanation:
Formula:
Mean = Sum of values / Number of values
Calculations:
[tex]A = \frac{20+17+25+25+13+25+12+25+25+23}{10} = \frac{210}{10} = 21[/tex]
[tex]B = \frac{25+25+9+10+25+11+25+15+10+25}{10} =\frac{180}{10} =18[/tex]
Mean of team A = 21
Mean of team B = 18