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valina [46]
3 years ago
14

There were three quizzes for the week. The first quiz was worth twice as much as the second quiz. The third quiz was 10 points l

ess than the second quiz. The total points for the quizzes that week were 70 points. How much was each quiz worth.
Mathematics
1 answer:
iren2701 [21]3 years ago
6 0
X+y+z=70
x=2y
z=2y-10
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A triangle is translated by using the rule (x,y) (x-4,y+1). Which describes how the figure is moved?​
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Left 4 and up 1. x means left and right , y means up and down. x-4 would be left 4, y+1 would be up 1. :)
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Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?
nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

3x=2y+2 ----> equation A

3y=4x+2 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

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3 years ago
3. The cost of a ticket twill be no more than $26.
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Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

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Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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4 0
1 year ago
Match each expression on the left with an equivalent expression on the right
Lana71 [14]
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
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Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
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d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
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Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
8 0
3 years ago
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