Answer and Step-by-step explanation:
Solve for m.
First, distribute the 5.
5 + 20m - 2m = -13
Combine like terms.
5 + 18m = -13
Subtract 5 from both sides of the equation.
18m = -18
Divide by 18 to both sides of the equation.
m = -1 <- This is the answer.
#teamtrees #PAW (Plant And Water)
[tex]\longrightarrow{\green{ \: m = - 1 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]5 \: (1 + 4m) - 2m = - 13[/tex]
➼ [tex] \: 5 + 20m - 2m \: = \: - 13[/tex]
➼ [tex] \: 18m = - 13 - 5[/tex]
➼ [tex] \: 18m = - 18[/tex]
➼ [tex] \: m = \frac{ - 18}{18} [/tex]
➼ [tex] \: m = - 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]5 \: (1 + 4 \times - 1) - 2 \times - 1 = - 13[/tex]
➼ [tex] \: 5 \: (1 - 4) + 2 = - 13[/tex]
➼ [tex] \: 5 \times ( - 3) + 2 = - 13[/tex]
➼ [tex] \: - 15 + 2 = - 13[/tex]
➼ [tex] \: - 13 = - 13[/tex]
➼ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
Answer:
a=18-3 and b=32÷8
Step-by-step explanation:
the first one
Pls need help in test
A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?
A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.
i think its C.No;the system has many solución
Answer:
thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe
What is the slope of the line?
7x+2y=5
Answer:
- 7/2
Step-by-step explanation:
Multiply (x-3)(4x+2) using the distributive property.select the answer choice showing the correct distribution.
Answer:
4x² - 10x - 6
Step-by-step explanation:
(x-3)(4x+2)
4x² + 2x - 12x - 6
4x² - 10x - 6
In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.
142 had investments in stock funds.
84 had investments in bond funds.
67 had investments in money market funds.
50 had investments in stock funds and bond funds.
33 had investments in stock funds and money market funds.
35 had investments in bond funds and money market funds.
21 had investments in stock funds, bond funds, and money market funds.
(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)
(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)
(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)
Answeni ideAA{
}
Step-by-step explanation:
18/30
G
35 m
Find the value of x:
H
18 m
30 m
Answer:
21 is the answer
Step-by-step explanation:
from the figure it can be seen that
angle G = angle J
angle H = angle K and
angle I = angle L
thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means
[tex] \frac{hi}{kl} = \frac{gi}{jl} \\ \frac{18}{30} = \frac{x}{35} \\ x = \frac{18}{30} \times 35 \\ x = \frac{3}{5} \times 35 \\ x = 3 \times 7 \\ x = 21[/tex]
I really need this help
Answer:
area: 454.2 sq.cm
perimeter: 77.7 cm
Step-by-step explanation:
to find area, find the area of all the separate shapes and add them together:
semi-circle:
radius is 12 cm
area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm
separate the trapezoid into two right triangles and a rectangle.
area for triangles:
[tex]\frac{1}{2}[/tex](5)(12) = 30
30 x 2 = 60 sq.cm (since there are two triangles)
area for rectangle:
12 x 14 = 168 sq.cm
area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm
for perimeter, just add the length of the exterior sides together.
we have some unknown sides, such as the semicircle and the sides of the trapezoid
we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem
[tex]5^2 + 12^2 = c^2[/tex]
[tex]25 + 144 = c^2[/tex]
[tex]169 = c^2[/tex]
[tex]\sqrt{169} =\sqrt{c^2}[/tex]
c = 13 cm
to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half
[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm
now add it all up:
14 + 13 + 13 +37.7 = 77.7
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Volume = 72.66 in.?
Х
2 in.
Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
Can someone help me answer this question?
Answer:
[tex] \frac{2}{4} , \frac{3}{4} \\ 1 \frac{2}{4} \\ 2 \frac{1}{4} [/tex]
A total of 573 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
146 adult tickets were sold
Step-by-step explanation:
subtract 73 from 573 which = 500
then you'll take away 500 from 73 =427
then you will subtract 427 from 573= 146
6th grade math help me pleaseeee
Answer:
First one.
Step-by-step explanation:
0.3/3=0.1 ==> 0.1$ per meter
0.77/7 ==> 0.11$ per meter
The first option is cheaper, therefore better to buy if you agree with "the cheaper. the better".
What is the product?
Answer:
15a^5b^15
Step-by-step explanation:
3*5 = 15
when multiplying exponents with the same base, you just add the exponents together. so 2+3 = 5 and 7+8 = 15
Answer:
15a⁵b¹⁵
Step-by-step explanation:
( 3a²b⁷)(5a³b⁸)
remove unnecessary parantheses
3a²b⁷ × 5a³b⁸using exponent rule
15a²+³ × b⁷+⁸calculate the product
15a⁵b¹⁵A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?
Answer $30
Bc 6can = $12
If 1can =2$
So 15 cans =30$
Answer:
$30
Step-by-step explanation:
$12/6=$2/can
$2/can x 15 cans=$30
What is the length of leg s in the right triangle shown?
Answer:
D. 5
Step-by-step explanation:
Applying,
cos∅ = adjacent/Hypotenuse
From the diagram,
Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2
Therefore,
cos45° = s/5√2
make s the subject of the equation
s = cos45°×5√2
s = (1/√2)(5√2)
s = 5
Hence the right answer is D. 5
A rectangular one story house covers an area of 2,700 square feet. The ceilings are 9 feet high. What is the volume of the interior of the house
Answer:
You will need to study and get the answer using
Step-by-step explanation:
a link: https://brainly.com/question/16261743. Taking a rescoruce. i surely think that you can do it
Plane W and Plane B intersect at which following?
Answer Choices:
A. Line a
B. Line t
C. They do not appear to intersect
D. Line p
Answer:
the answer is (d)!! hope this helps
Step-by-step explanation:
Now Kathy is 3 times as old as Kaity. In 6 years Cathy will be twice as old as Kaity. How old is each girl right now
Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.
Good luck :)
Answer:
Katie is 6; Cathy is 18!
Happy learning!
--Applepi101
a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?
Answer:
30/100×150=
24/5%, that is the answer
Aidan is saving money to buy a new computer. He made a scatter plot and a linear model for the amount of money he has saved over the past eight weeks. The equation of the line is y = 17.63x + 27.52 . Use the model to predict how much aidan saved over five weeks
Answer:
Aidan saved 115.67 over five weeks.
Step-by-step explanation:
After x weeks:
The amount of money saved by Aidan is given by:
[tex]y(x) = 17.63x + 27.52[/tex]
How much aidan saved over five weeks?
This is y when x = 5. So
[tex]y(x) = 17.63x + 27.52[/tex]
[tex]y(5) = 17.63*5 + 27.52 = 115.67[/tex]
Aidan saved 115.67 over five weeks.
Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C
Answer:
sin of 90 is 1
Step-by-step explanation:
sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)
The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from each other?
Answer:
See Explanation
Step-by-step explanation:
The Three Straight paths intersect at different angles or we can say that, the amount required to turn one path onto the other path is different for each vertex. Thus, the largest angle is opposite to the longest side and the smallest angle is opposite to the shortest side.And if all the three points of intersection look the same, the result is a triangle with three equal angles and three equal sides.I suck at math can someone help me
Answer:
x=22
Step-by-step explanation:
x+14=5x-74 (being corresponding angles and correcponding angles are always equal)
14+74=5x-x
88=4x
88/4=x
22=x
Your suppose to look at the graph.
If you could help me that would be great!
Answer:
B) $3 per gallon
Step-by-step explanation:
You can see on the graph that for 1 gallon of gasoline, it is $3.
Hope this helped!
Please mark as brainliest!
Find the 98th term of the arithmetic sequence -10, -8, -6, ...
First term = a= -10
common difference=d= -8+10 = 2
n= 98
the 98th term = a+(n-1)d = -10+ (98-1)2
= -10+(97)2 = -10 +194
=184
98th term of the given arithmetic sequence is 184.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
The given arithmetic sequence is -10, -8, -6,......
Here, a=-10, d=-8-(-10) = 2
So, aₙ=-10+(n-1)×2
aₙ=-10+2n-2
aₙ=2n-12
a₉₈=2×98-12
a₉₈=184
Therefore, 98th term of the given arithmetic sequence is 184.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
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Need help on this question I’m taking this!!
Answer:
A) y=4+x
Step-by-step explanation:
Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.
Answer all the of the question plsss, and I might give you more points after. I need this plssssssss ty lol. Show all work too.
Answer:
(3, 6)
Step-by-step explanation:
[tex]y=4x-6[/tex]
[tex]6=4(3)-6[/tex]
[tex]6=12-6[/tex]
[tex]6=6[/tex]
[tex]3y=-2x+24[/tex]
[tex]3(6)=-2(3)+24[/tex]
[tex]18=-6+24[/tex]
[tex]18=18[/tex]
x = 3, y = 6
By substitution method,
[tex]y = 4x - 6[/tex]
[tex]3y = - 2x + 24[/tex]
[tex] \frac{3y - 24}{ - 2} = x[/tex]
[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]
[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 42[/tex]
[tex]y - 42 = \frac{12y}{ - 2} [/tex]
[tex] - 42 = \frac{12y}{ - 2} - y[/tex]
[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]
[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]
[tex] - 42 = \frac{14y}{ - 2} [/tex]
[tex] - 42 \times - 2 = 14y[/tex]
[tex]84 = 14y[/tex]
[tex] \frac{84}{14} = y[/tex]
[tex]6 = y[/tex]
[tex]\frac{3(6) - 24}{ - 2} = x[/tex]
[tex] \frac{18 - 24}{ - 2} = x[/tex]
[tex] \frac{ - 6}{ - 2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
The solution is (3, 6).
6 of 10
?
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars
Answer:
The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.
16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.
An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.
To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.
To find the cost of one candy bar, we divide $5 by 4:
Cost of one candy bar = $5 / 4 = $1.25
Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:
Number of candy bars = $20 / $1.25 = 16
Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.
To know more about an expression follow
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Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST
Answer:
Step-by-step explanation:
What is the image of (-9,9) after a dilation by a scale factor of 2 centered at the origin? (Will mark correct answer brainliest)
Answer:
Is this a line on a graph with point for x,y.
Step-by-step explanation:
-9 is x and 9 is y
