Answer:
It should be -5
Step-by-step explanation:
A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
[tex]26M + 56D = 2278[/tex] ---- equation 1
[tex]M = 3D[/tex] ---- equation 2
A microscope costs S51 and a dissection kit costs S17
Step-by-step explanation:
Given
Represent microscope with M and Dissection kits with D
Cost:
[tex]M = 3D[/tex]
[tex]Total = 2278[/tex]
Required
Represent as an equation:
To do this, we represent the equation in terms of cost and quantity
In terms of cost, we have:
[tex]26M + 56D = 2278[/tex] ---- equation 1
and
[tex]M = 3D[/tex] ---- equation 2
Substitute 3D for M in equation 1
[tex]26*3D + 56D = 2278[/tex]
[tex]78D + 56D = 2278[/tex]
[tex]134D = 2278[/tex]
Divide both sides by 134
[tex]D = \frac{2278}{134}[/tex]
[tex]D = 17[/tex]
Substitute 17 for D in [tex]M = 3D[/tex]
[tex]M = 3 * 17[/tex]
[tex]M = 51[/tex]
Hence:
A microscope costs S51 and a dissection kit costs S17
Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5
Answer:
-0.5
Step-by-step explanation:
In the diagram, AB= DC and AC= DB. Why does m
Answer:
why does m what????
Step-by-step explanation:
I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282
Answer:
8.6395761e+25
Step-by-step explanation:
no
after giving 8 apples to her friend, John finds notices that two third of the remainder is 12.how many appledid she have all tigether
Answer:
26
Step-by-step explanation:
It started with x apples.
8 were given away.
Now there are x - 8 apples.
Two thirds of the remainder is (2/3)(x - 8).
That is equal to 12.
(2/3)(x - 8) = 12
x - 8 = 18
x = 26
There were originally 26 apples.
Answer:
26, if I understood the question correctly.
John has an amount of apples, gave 8 to her friend, and noticed that two thirds of the remainder is a dozen.
Step-by-step explanation:
If 2/3 of the remainder is 12, then we can set this up as an algebraic equation to see what the remainder started with.
x*2/3=12
Now we can see that we need to divide the 2/3 to get the answer for what x is equal to.
[tex]x=12/(\frac{2}{3} )[/tex]
To divide fractions, you multiply by the reciprocal, (or the fraction upside down)
[tex]x=12*(\frac{3}{2})[/tex]
When we multiply 12 by 3/2, we get 36/2, and when we reduce, we get 18.
If the entire remainder is 18, then the original total would be 18 plus the 8 that John gave to her friend.
18+8=26
Kind of a strangely worded question, I hope I understood correctly
Please help. Questions in the picture.
Answer:
Step-by-step explanation:
(2 , 0) ; (0, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]
m = -1/2 ; (2 , 0)
Equation of the line : y - y1 = m(x - x1)
[tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]
slope = (-1/2)
y - intercept = 1
what is true about the slopes of perpendicular lines
A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?
Answer:
12
Step-by-step explanation:
It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters
Answer:
Your anwser is 14 hopw this helpss
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 i know this because the person before me said the same thing.
Lastly solve |5x-7|= -3
Answer:
there is no number to plug into x cause you can't have a negative number if it is absolute value cause that makes everything positive
7x-11>3
Solve and graph for X
Beep help please ASAP
Brainlest-Pls help me pls thank you sm In advance
Answer: 90 divided by 45 equals 2 45+45=90
Step-by-step explanation:
Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?
Answer:
5 pencils
Step-by-step explanation:
4.75 / 0.89 = 5.33
Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils
The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was
Answer:
2°C
Step-by-step explanation:
Morning
-5°C
Noon (+3)
-2°C
4pm (+?)
0°C
Equation I used:
(-5) + (3) + x = 0
I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)
Please help me find the area of this!!! 15 points!!
Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
The angle between them is 50°.
So, substitute 60 for a, 70 for b, and 50° for C. This yields:
[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]
Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
You and your mom enter a drawing with 3 different prizes. The prizes are
awarded at random.
If a total of 10 people entered the drawing, in how many ways can you win
first prize and your mom win second prize?
a. 8
b. 2
c. 10
d. 1
Answer:
The correct answer is 8.
Step-by-step explanation:
There are 2 ways that you can win first prize and your mom can win the second prize.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 10 people who entered the drawing.
Since the prizes are awarded at random, the probability of you winning the first prize is 1/3, and the probability of your mom winning the second prize is 1/2.
We can use the multiplication principle of counting to find the number of ways that you can win first prize and your mom can win the second prize.
The number of ways that you can win first prize is 1 since there is only one first prize and you are one of the 10 people who entered.
Once the first prize winner is chosen, there are 9 people left, and the number of ways that your mom can win the second prize is 1 out of 9.
The total number of ways that you can win first prize and your mom can win the second prize is:
1 × 1/3 × 1/2 × 9 = 3/2
However, the answer cannot be a fraction or decimal, since we are counting the number of ways in which events can occur.
Therefore, we round up to the nearest integer and get:
3/2 ≈ 2
Therefore,
There are 2 ways that you can win first prize and your mom can win the second prize.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ7
What is 64.2 multiplied by 0.25
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
Can someone please help? I will give Brainliest.
Answer:
Ask your mom and she might tell you
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)
cannot be determined
one solution
no solution
infinitely many solutions
Answer:
one solution is your answer to the question
Answer:
Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x
Gather all the x terms on one side and all the constants on the other:
-3x + 3x = 9 + 12 - 2, or 0 = 19
since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.
In which equation does x = 15?
A. 18=-5x-2
B. -9+ 3x = 36
C. 4x + 3 = 15
D. 2x+4 =-36
ОА
OB
D
2 (4x-2)- 5x=-18
HELP!!
Answer:
x = -14/3
Step-by-step explanation:
2 (4x-2) - 5x = -18
8x - 4 - 5x = -18
8x - 5x = -18 + 4
3x = -14
x = -14/3
I'm not sure if this is what you were asking for but, ya..
10³ ÷ (25×4) = Please
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10³ ÷ (25×4)
1000 ÷ 100 = 10
if AB || CD and AC = BD, is ACD = CAB?
Solve for y: -5y + 6 = 16
A. -14/5
B. -2
C. 14/6
D. 2
Answer:
b
Step-by-step explanation:
i think it is b the answer is b
What is - ( 2)^3?
Help please
What si the answer of Y = 7x -3 for x
Help
Answer:
[tex]x=\frac{1}{7}y+\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]y=7x-3[/tex]
[tex]7x-3=y[/tex]
[tex]7x-3+3=y+3[/tex]
[tex]\frac{7x}{7}= \frac{y+3}{7}[/tex]
[tex]x=\frac{1}{4}y+\frac{3}{7}[/tex]
A line passes through (3, -3) and has a slope of 3. What is an equation of the line ???
Answer:
y=3x-3
Step-by-step explanation:
y=mx+b
m=slop
b=y intercept
how do i find my sister's math question she just posted how do i find it
Answer:
You can find it on her profile, in the questions section.
Step-by-step explanation:
Tap her profile picture, which will take you to her profile.
Tap the questions bar, which should lead you to all questions she has posted.
Lastly, tap the question you want! It should show you the date or time it was posted.
A brainiest is this doggo's bone!
find one arithmetic means between 2 and 32? step-by-step
Answer:
17
Step-by-step explanation:
An arithmetic mean is the average of the 2 given numbers, that is
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
6th grade math
34/51 = x/3
solve pls