Answer:
Step-by-step explanation:
y + 4x = 7
y = 4x - 7
4x plus 1 divided by 3 equals x minus 5 divided 2
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
To know more about equation:
https://brainly.com/question/29657983
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Find the lowest common multiple (LCM) of 30 and 42
Answer:
2-30,42
3-15,21
5-5,7
7-1,7
-1,1
LCM of 30 and 42 is 210
Answer:
210
Step-by-step explanation:
30*42 by HCF of 30,42
1260 by 6 =210
A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?
Answer:
Brother: $168.00
Sister: $132.00
Step-by-step explanation:
14 + 11 = 25
300/25=12
Brother gets (12*14) $168.00
Sister gets (12*11) $132.00
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
does the number 15/3 belong to the set of natural/counting numbers?
i’m confused. someone pls help (＋_＋)
2. d - 2.5
4. 2n
6. 4(x + 1/2)
8. 2k + (s - 2)
10. 5(m / 2)
For a field trip 12 students rode in cars and the rest filled 8 buses.
How many students were in each bus if 324 students were on the
trip?
Help plzzzz
State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2
Answer:
they are not inverses
Step-by-step explanation:
f(1) = 1/1 +3 = 1 +3 = 4
g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1
If the functions were inverses, we would have g(f(1)) = 1, which we do not.
The given functions are not inverses.
_____
The same would be true if your functions were
f(x) = 1/(x+3) and g(x) = 4/(x+2)
f(1) = 1/(1+3) = 1/4
g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1
Please help me with this!
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 22p +5q = 21
3p-2q=-16
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4
Answer:
The correct answer is (D) 4
Step-by-step explanation:
Hopes this helps!
Answer:
(D) 4
Step-by-step explanation:
6/7
÷
3/14
=
6/7
×
14/3
=
6 × 14
7 × 3
=
84/21
=
84 ÷ 21
21 ÷ 21
= 4
How do you evaluate functions in a real-world context?
Answer:
To evaluate a function is to: Replace its variable with a given number or expression.
Step-by-step explanation:
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.
9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6
Answer:
u can use desmos
Step-by-step explanation:
this is integrated math2, help plzzzz. i’m so lost idk what this is:/
I remember doing the last question.
If you recall, x = 29
Just plug 29 into x for each angle
A = 3(29) = 87
B = 2(29) + 1 = 59
C = 29 + 5 = 34
Answer:
The value of angle C is 34°
Step-by-step explanation:
2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}
or, 6x + 6° = 180°
or, 6x = 180° - 6°
or, x = 174°/6
or, x = 29°
now,
value of angle C = x+5°
= 29°+5°
= 34°
Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
Given A (-3,5) and B (6,7) find AB
Answer:2/9
Step-by-step explanation:
AB=[tex]\frac{7-5}{6+3}[/tex]
=[tex]\frac{2}{9}[/tex]
A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.
Answer:
The correct answer is:
a-
Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.
Step-by-step explanation:
Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.
(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).
What is this 8=a+3+4
[tex]\bf Step-by-step~explanation:[/tex]
If we were to solve for a, we will need to isolate the variable.
[tex]\bf Step~1:[/tex]
Add the like terms on the right side of the equation together.
[tex]\bf 8=a+3+4\\8=a+7[/tex]
[tex]\bf Step~2:[/tex]
Subtract 7 from both sides to move 7 to the other side.
[tex]\bf 8(-7)=a+7(-7)\\1=a[/tex]
[tex]\bf Step~3:[/tex]
Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.
[tex]\bf 1=a\\a=1[/tex]
[tex]\large\boxed{\bf Our~final~answer:~a=1}[/tex]
How can I Solve this ?
3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?
a line has a slope of 9 and includes the points (2,a) and (4,9.) What is the value of a?
Answer:
my guess would have to be a= -9 (negative nine)
Step-by-step explanation:
sorry, i tried solving the problem otherwise and couldn't get an answer, good luck
rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Answer:
The Answer would be option C. 3/4 books per hour
Step-by-step explanation:
You would flip 1/3 to 3/1 which makes it a whole number. then multiply
1/4 and 3.
Therefore your answer is 3/4
I hope this helped you,
An equation is shown below:
−2(4x − 1) − 7 = 5
Which statement shows a correct next step in solving the equation?
Answer:
Distribute -2 into (4x-1) to get rid of the parenthesis.
Step-by-step explanation:
The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.
[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]
Of course, you would also combine like terms to completely simplify the equation to solve for x.
[tex]-8x-9=5[/tex]
Hope this helps.
The 2-minute-and-43-second song “You’re Welcome” from the movie Moana has been used in more than 3,000 videos. What percent of the song can be used in a 30-second TikTok?
Answer:
18.4%
Step-by-step explanation:
18.4
alliknowinmybrainly
Please help me!! Thank you
Answer:
The next fraction in the pattern is 243/324
Step-by-step explanation:
Every number in the pattern is x3 of the previous number
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =
Answer:
2w-2=16
Step-by-step explanation:
w=9
2w-2
2(9)-2
18-2
16
Answer:
16
Step-by-step explanation:
When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.
[tex]2w-2[/tex], we know [tex]w=9[/tex] so:
[tex](2\cdot 9) - 2[/tex]
[tex]2\cdot9=18[/tex]
[tex]18-2\\\\16[/tex]
Hope this helped!