6x+25=1
move +25 to the other side
sign changes from +25 to -25
6x+25-25=1-25
6x=1-25
6x=-24
divide both sides by 6 to get x by itself
6x/6=-24/6
x=-4
answer: x=-4
How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)
Two
None
One
Infinitely many
Answer:
The equation has only one solution which is:
[tex]x = 10[/tex]Step-by-step explanation:
Given the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
Let us solve the equation to determine the type of the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
subtract the number: -1 - 3 = -4
[tex]3x+6=4x-4[/tex]
subtract 6 from both sides
[tex]3x+6-6=4x-4-6[/tex]
[tex]3x=4x-10[/tex]
subtract 4x from both sides
[tex]3x-4x=4x-10-4x[/tex]
[tex]-x=-10[/tex]
Divide both sides y -1
[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]
[tex]x=10[/tex]
Therefore, the equation has only one solution which is:
[tex]x = 10[/tex]Answer:
C one
Step-by-step explanation:
I toolk the test
A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?
I need an equation for this algebra problem
Answer:
2.5 hours
Step-by-step explanation:
Given
The information in the attachment
To solve this question, first we calculate the slope
[tex](t_1,B_1) = (1,19,5\%)[/tex]
[tex](t_2,B_2) = (2,13\%)[/tex]
The slope is:
[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]
[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]
[tex]m = \frac{-0.065}{1}[/tex]
[tex]m = -0.065}[/tex]
The equation is calculated as:
[tex]B - b_3 = m(t - t_3)[/tex]
Where
[tex]m = -0.065}[/tex]
[tex](t_3,B_3) = (3,6.5\%)[/tex]
This gives
[tex]B - 6.5\% = -0.065(t - 3)[/tex]
[tex]B - 6.5\% = -0.065t +0.195[/tex]
[tex]B -0.065 = -0.065t +0.195[/tex]
[tex]B = -0.065t +0.195 +0.065[/tex]
[tex]B = -0.065t +0.26[/tex]
To calculate the time at 9.75%.
We take B = 9.75%
So, we have:
[tex]9.75\% = -0.065t +0.26[/tex]
Solve for t
[tex]0.0975= -0.065t +0.26[/tex]
Collect Like Terms
[tex]0.065t= -0.0975 +0.26[/tex]
[tex]0.065t= 01625[/tex]
[tex]t = 0.1625/0.065[/tex]
[tex]t = 2.5[/tex]
Hence, it will take 2.5 hours.
Find the length of the third side to the nearest tenth.
8
5
Answer:
The length of third side is: 6.3
Step-by-step explanation:
Given triangle is a right triangle where
Base = ?
Perpendicular = 5
Hypotenuse = 8
Let x be the base
As it is a right-angled triangle, Pythagoras theorem can be used to find the third side
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]
Putting the known values
[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]
Taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]
Rounding off to the nearest 10th
Base = 6.3
Hence,
The length of third side is: 6.3
If 16g if a radioactive substance are present initially and 5yr later only 8g remain how much substance will be present after 9yr
9514 1404 393
Answer:
4.59 g
Step-by-step explanation:
The half-life is given as 5 years, so the amount remaining after 9 years will be ...
remaining = initial × (1/2)^(t/(half-life))
remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g
About 4.59 g of the substance will remain after 9 years.
Write an inequality for the following 2 STATEMENTS. You
do NOT need to solve them.
1)two less than a number is less than 9
2)the sum of a number and 8 is more than 4
Answer:
We
Given below are pictures of some common reptiles. Unscrambles
land and water.
jumbled letters and write their names:
an
P
1.
2.
Snake
TLALIGAOR
3.
KNSAE
4.
TRUTLE
Step-by-step explanation:
The Ferris wheel is the most popular ride. In 1 hour, the Ferris wheel had 240 riders. If that was 60% of the total number of riders, then how many riders did the Ferris wheel have?!!PLEASE ANSWER!!
Answer:
400 riders
Step-by-step explanation:
The Ferris wheel had 400 riders.
400*0.60=240.
Answer:
Y = 144
Step-by-step explanation:
60 times = 14400
14400 = y times 100
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 5.
Give your answer as a fraction in its simplest form.
Answer:
1/5
Explanation:
There are five choices in the spinner. One of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.
Good day :)
through: (-5, 4), parallel to y=--x+4
Answer:
y=-x-1
Step-by-step explanation:
1.) equation of line in slope-intercept form: y=4-x
2.) parallel of line is same as: m=-1
3.) equation of parallel line is: y=-x+b
4.) finding b: 4=(−1)⋅(−5)+b
b=-1
5.) therefore, equation is y=-x-1
Do the ratios 3/20 and 1/4 form a proportion?
Answer:
yes
Step-by-step explanation:
if the denomentators are dividable, than it is a equivalent equation
Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) and (2,7). A few values from the exponential function g(x) are shown in the table. What is the positive difference in the y-intercept value of f(x) and g(x)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 2x + 3[/tex]
And
[tex]g(x) = 2 \times {3}^{x} \\ [/tex]
_________________________________
To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...
Let's do it...._________________________________
In f ( x ) :
[tex]y - intercept = f(0)[/tex]
[tex]f(x) = 2x + 3[/tex]
[tex]f(0) = 2(0) + 3[/tex]
[tex]f(0) = 3[/tex]
Thus :
[tex]y - intercept = 3[/tex]
##############################
In g ( x ) :
[tex]y - intercept = g(0)[/tex]
[tex]g(x) = 2 \times {3}^{x} [/tex]
[tex]g(0) = 2 \times {3}^{0} [/tex]
[tex]g(0) = 2 \times 1[/tex]
[tex]g(0) = 2[/tex]
Thus :
[tex]y - intercept = 2[/tex]
_________________________________
The positive difference in the y-intercept value of f ( x ) and g ( x ) is :
[tex] |3 - 2| = |1| = 1[/tex]
So write this in the box : 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school. for alpha=.01 you ___ hypothesis
Answer:
you accept the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]
The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{52}{100}[/tex]
[tex]\hat p = 0.52[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]
[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
At the null hypothesis, it is tested if the proportion is of 64%, that is:
[tex]H_0: p = 0.64[/tex]
At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:
[tex]H_1: p < 0.64[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]
[tex]z = -2.5[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945
3.) Jimena used her calculator to divide 2 by 13.
The calculator screen shows the number: 0.1538461.
Round Jimena's answer to the nearest tenth. =
Answer: 0.2
Step-by-step explanation:
It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?
Answer:
1.25 laps per minute
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
Identify the pattern rule for this sequence
Answer:
it should be c
Step-by-step explanation:
Find the measure of the arc.
Answer: 90
Step-by-step explanation:
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
Could someone help me
Answer:
its the last one
because the rest of them are wrong
what is 25+25458752452+5454466125+545454885422574212=
Answer:
5.4545492e+17
Step-by-step explanation:
aka a really big number
A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?
Answer:
56 miles
Step-by-step explanation:
PPPPPPPLLLLLLLLLLLLLLEEEEEEEEEESSSSSSS HELP ME
Mark bought 5 t-shirts for $32.35. What was the mean cost of one shirt?
Answer:
6.47 i THINK . or just use a search engine .
Step-by-step explanation:
i just divided 32.35 by 5
Answer:
6.47 thank me
Step-by-step explanation:
marissa can read 15 pages in 5 minutes and 30 seconds how long will it take for her to read 105 pages
Answer:
38.5 minutes
Step-by-step explanation:
105 divided by 15=7
7 x 5 minutes and 30 seconds is 38.5 minutes
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval for the true proportion
Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260
[tex]p=\dfrac{260}{500}=0.52[/tex]
z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :
[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]
A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Given a point and slope, find the equation. (1, 4.8) and m=3.7
y=mx+b the m=3.7 What is b??
y=-3x2 + 18x + 10?
What is the axis of symmetry
Answer:
x = 3
Step-by-step explanation:
The formula for the axis of symmetry is x = -b/[2a]. Here, a = -3 and b = 18.
-18
Thus, the axis of symmetry is x = - ------------ = 3, or x = 3
2[-3]
Solve the system by substitution. y = 8x + 32 Y= -8x
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?