Answer: 14
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
Please answer FAST i need your help and when you put your answers put them like
1.
2.
3.
4.
5.
Step-by-step explanation:
3.5
1
-7.14
1
1/5
6.5
sorry if this and are wrong
3(2+q)+15 simplified
Answer:
6+ 3q+15
Step-by-step explanation:
I hope this is what you needed!
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.
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]
What is x- value of point A
Answer:
5
Step-by-step explanation:
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
2. Solve for y
-4y -20 +19= -y + 17
i need someone to answer this it’s due by midnight
Answer:
y= -6
Step-by-step explanation:
PLEASEEEE 10 points
Answer
7?
Step-by-step explanation:
What is 64.2 multiplied by 0.25
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible
Answer:
c because an open doesnt mean its guaranteed but it starts at closed.
Peter bought 8 lemons for $6,. Each lemon was the same price.
What was the cost for 1 lemon?
Answer:
.75 cents
Step-by-step explanation:
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!
There are 18 tires on one truck. How many tires are on 3 trucks of the same type
Answer:
54 tires
Step-by-step explanation:
Just multiply 18 and 3 to get the answer of 54.
Answer: 54
Step-by-step explanation: 18x3=54 should be correct just used a calculator :)
Question 7 of 25
If two line segments have the same length, which of the
following must be true?
A. They form a right angle.
B. They are congruent.
ht
C. They are equal.
O D. They share an endpoint.
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
Find the y-intercept of the following equation. Simplify your answer. y = 8x + 10 y-intercept=
Answer:
10
Step-by-step explanation:
I really need a 100 I'm felling in all my classes, please
Select the fraction that is equivalent to one-sixth.
Answer:
There is no picture, or diagram with the question, but 1/6 = 2/12
Answer:
2/12
Step-by-step explanation:
1/6 * 2 = 2/12
Multiply both numerator and denomanotor
In which step did Helena make an error
Answer:
You have to post the picture so we can help.
Step-by-step explanation:
Suppose that
g(x) = f(x)•h(x),
f(3) = 6,
h(3) = 2,
h'(6)=4,
h'(3)=15 and
f'(3) = 8.
Find g(3).
(A) 32
(C) 106
(B) 8
(D) 60
Answer:
g(3) = 6*2 = 12
Step-by-step explanation:
In this problem you're given more information than is necessary to solve it.
g(x) = f(x)*h(x) is the product of functions f and h.
If x has the value 3, then:
f(x) = f(3) = 6, h(x) = h(3) = 2. Thus, when x = 3 we have g(x) = g(3) = 6*2 = 12
The value of g(3) using g(x) = f(x)·h(x) is 12.
Given that, g(x) = f(x)·h(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Put x=3 in g(x) = f(x)·h(x), we get
g(3) = f(3)·h(3)
⇒ g(3) =6×2
= 12
Therefore, the value of g(3) using g(x) = f(x)·h(x) is 12.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
10³ ÷ (25×4) = Please
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10³ ÷ (25×4)
1000 ÷ 100 = 10
The toy rocket is how much inches long?
if AB || CD and AC = BD, is ACD = CAB?
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
In the diagram, AB= DC and AC= DB. Why does m
Answer:
why does m what????
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:
i need hep plsss T-T
what is 5/6 rounded to the nearest hundredth?
Answer:
0.83
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
5 / 6 = 0.833
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 833
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 5/6 (or 0.833) rounded to the nearest hundredth in decimal format is:
0.83
5x-6
3x +2
5yº
Only enter the number. What is the value of x?
Answer:
4
Step-by-step explanation:
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
IT'S TIMED NEED HELP ASAP!! Find the measure of angle C
Answer: 250 degrees
Step-by-step explanation:
Answer:
[tex]x=\frac{1}{7}[/tex]
15(1/7)+5= 7.14 (rounded o the nearest hundredths)
I hope this is good enough: