Answers
Answer:
d. solve for 'y' in the second equation
The first step is to solve for 'y' after that you will substitute it in the next step ie when using substitution method.
Related Questions
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
The angles are adjacent. x = 100°
Step-by-step explanation:
x + 80 = 180
x = 100
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
Answers
Answer:
3 29/40 kg
Step-by-step explanation:
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
Step 1
We find the fraction of the sculpture that is wood
Let the Fraction of the sculpture = 1
Fraction of the sculpture that is metal = 3/4
Fraction of the sculpture that is wood =
1 - 3/4
= 1/4
Step 2
How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
This is calculated as:
Weight of the total sculpture × Fraction of the sculpture that is wood
= 14.9 kg × 1/4
= 3 29/40 kg
A company ran a contest in which prizes were revealed under the bottle caps of its soda bottles. A case of 24 bottles had 3 prize bottle caps. If the company produces 72,000 bottles of soda, how many
bottles will have prizes?
Answers
Answer:
every 24, there is 3 (let's assume)
72,000 / 24 = 3000.
3000 x 3 = 9000
Step-by-step explanation:
9000, hope this helps. I'm super sorry if I got it wrong
Emma decided to make more baked goods for her neighbors. She used 1/10 lb. Less sugar to make cake than to make apple dumplings. She used 3/10 lb. More sugar to make apple dumplings than to make apple crisp. If she used 5/10 lb. Of sugar to make the cake, how much sugar did she use to make the apple crisp? Explain your answer using numbers or words.
Answers
Answer:
3/10
Step-by-step explanation:
equation 1 and 2 can be derived from the question
cake = apple dumplings - 1/10 eqn 1
apple dumplings = 3/10 + crisp eqn 2
if 5/10 sugar was used to make cake , substitute for it in eqn 1
5/10 = apple dumplings - 1/10
apple dumplings = 5/10 + 1/10 = 6/10
Substitute for the amount of sugar used to make apple dumplings in eqn 2
6/10 = 3/10 + crisp
crisp = 6/10 - 3/10 = 3/10
cake - 1/10 = apple d
apple d = 6/10
Find the product. Write your answer in scientific notation.
(7 x 10^-2) (8 x 10^5) =
Answers
Answer:
7×10^(-2)×8×10^5 = 56000
convert to scientific notation = 5.6 × 10^4
(scientific notation)
= 5.6e4
(scientific e notation)
= 56 × 10^3
(engineering notation)
(thousand; prefix kilo- (k))
= 56000
(real number)
Step-by-step explanation:
Rachel bought 15 packs of colored pencils with four pencils in each pack. She also
bought 32 packs of glitter pencils with two pencils in each pack. Write and evaluate an
expression to find the total number of pencils she bought.
Answers
Answer:
124
Step-by-step explanation:
15 x 4=60
32 x 2=64
64+60=124
Rachel bought a total of 124 pencils.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
To find the total number of colored pencils Rachel bought, you can multiply the number of packs she bought by the number of pencils in each pack. Since she bought 15 packs of colored pencils with four pencils in each pack, the expression would be:
15 packs × 4 pencils/pack = 60 pencils
To find the total number of glitter pencils Rachel bought, you can use the same process. Since she bought 32 packs of glitter pencils with two pencils in each pack, the expression would be:
32 packs × 2 pencils/pack = 64 pencils
To find the total number of pencils Rachel bought in total, you would add the number of colored pencils to the number of glitter pencils. The expression would be:
60 pencils + 64 pencils = 124 pencils
Hence, she bought a total of 124 pencils.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
someone help, quadratic graphs
Answers
9514 1404 393
Answer:
a) turning point: (-2, -1)
b) roots: (-3, 0), (-1, 0)
Step-by-step explanation:
The turning point is correctly identified as the vertex in the problem picture.
__
The roots are the x-intercept points: (-3, 0) and (-1, 0).
find the value of given expression
[tex] \sqrt{(60 \div 10) {}^{2} } [/tex]
Answers
Step-by-step explanation:
[tex] \sqrt{(60 \div 10) {}^{2} } \\ = \sqrt{(6) {}^{2} } \\ = \sqrt{36 } \\ = 6[/tex]
6 is your answer
Answer:
[tex]\sqrt{\left(\frac{60}{10}\right)^2}[/tex]
[tex]\sqrt{\left(\frac{60}{10}\right)^2}=\frac{60}{10}[/tex]
[tex]\frac{60}{10}=6[/tex]
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hope it helps..
have a great day!!
Can someone help me?
Answers
Answer:
Problem 1:
The student is wrong, the lines have NO SOLUTION, infinite solutions, because the lines don't intersect in any areas.
Problem 2:
The student is correct, because the lines intersect at (-3,-2)
Step-by-step explanation:
Can yall help me on thiss
Answers
What is the perimeter of the parallelogram below?
Answers
20+20+7+7=54
7+7+20+20 = 54 inches.
Consider the expression 150 + 150(2.5). Which statements are correct?
A)
150 + 150(2.5) = 1 + 2.5
B)
150 + 150(2.5) = 150 + 2.5
C)
150 + 150(2.5) = 150(1 + 2.5)
D)
150 + 150(2.5) = 150(3.5)
E)
150 + 150(3.5) = 525
Answers
Answer:
C D E is the answer
Step-by-step explanation:
i just know
Does anyone know how to do this?
Answers
− 2/3 a+ 5/6 a− 1/6 Combine like terms to create an equivalent expression.
Answers
Answer:
1/6a+-1/6
Step-by-step explanation:
ooooooooooooooooooooooooooooooooo y=5x+2
Answers
Answer:
I need the whole question plz.
Step-by-step explanation:
x=1 y=7
x=2 y=12
etc.
Meagan printed 40 pictures from her recent family reunion. Of these pictures, 12 show both people and pets, 4 show only pets, and 24 show only people. Meagan is in one-half of the pictures that show both people and pets and she is in one-third of the pictures that show only people.
Answers
Answer: if the question is how many pictures total is megan in, she’s in 14/40 photos
Step-by-step explanation:)
What is the answer for X+2y=1
Answers
Answer:
to solve for x: x=2y-1
to solve for y: y=-x/2+1/2
To graph:
You buy a new car and it depreciates 6.2% per year in value. If the value of the car can be modeled by V(t)=45,000⋅bt, what would be the value of b?
Answers
Answer:
b = 0.938
Step-by-step explanation:
Value of the car can be modeled by the function,
V(t) = [tex]45000(b)^t[/tex]
Since, formula for the depreciation is modeled by,
V(t) = [tex]V_0(1-\frac{r}{100})^t[/tex]
Here, V(t) = Final value of the car after t years
V(0) = Initial value of the car
r = rate of depreciation
t = Time (in years)
By comparing both the functions which are similar,
[tex]1-\frac{r}{100}=b[/tex]
[tex]1-\frac{6.2}{100}=b[/tex]
b = 1 - 0.062
b = 0.938
what does 10 = 4y equal to
Answers
Answer:
Step-by-step explanation:
Simplifying
10 = 4y
Solving
10 = 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
10 + -4y = 4y + -4y
Combine like terms: 4y + -4y = 0
10 + -4y = 0
Add '-10' to each side of the equation.
10 + -10 + -4y = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -4y = 0 + -10
-4y = 0 + -10
Combine like terms: 0 + -10 = -10
-4y = -10
Divide each side by '-4'.
y = 2.5
Simplifying
y = 2.5
What is 45 + 25x = 65 + 15x?
Answers
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
45 + 25x = 65 + 15x
25x - 15x = 65 - 45
10x = 20
x = 2
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
A. Y-68=-5(x-14) B. Y+68=5(x+14) C. Y+68=-5(x-14) D. Y+68=5(x-14)
Answers
Answer:
A. Y-68=-5(x-14)
Step-by-step explanation:
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
We find the equation using the point slope equation of a line. This is given as:
y - y1 = m(x-x1)
The slope intercept form will be
y = -5x + b
since the amount decreases by $5 per day...
Our slope is -5 so m=-5
We have a point (x1,y1) = (14, 68)
Hence, we have:
y-68 = -5(x-14)
Option A is correct
Carmen deposited $960 in a savings account with simple interest. Five years later, the account held $1,200. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
0.25/ 25%
Step-by-step explanation:
I=prt
1200=960*x*5
1200=4800x
divide both sides by 4800
x=0.25
Determine the solutions to the following systems of the linear equations.
Answers
Answer:
1. (4,2)
2. No solution
3. (1,3)
1. How many planes are shown in this figure?
2. How many planes contain point A?
Answers
Answer to #2. 3
A radio station plays a winning song once per hour at a randomly selected time (in minutes). During an announcer’s four-hour show, how many different arrangements of winning times could occur if a) repetition of times during each hour is permitted? b) repetition of times during each hour is not permitted?
Answers
Answer:nrkrdjdjddjdjdjjdjdjdjdjdjd
Step-by-step explanation:
Hdhdhdhdhdhd
-20 is an integer.
Is this True or False
Answers
Answer:
Yes it is.
Step-by-step explanation:
All whole numbers are integers.
are the triangles AA, SAS, SSS or not similar ?
Answers
Answer:
I think SSS ,.............
pls answer i have to do this quickly
Answers
6 is the given width at the top and because it’s a parallelogram, that means the bottom is equal to 6 as well. So that makes the base 6 units. The formula to find the area of a parallelogram is b x h and because you’re given two values, you just plug them into the formula and solve for the missing one. You’ll get 24 = 6 x h. You can solve this by dividing both sides by 6 and you’ll end up with h = 4.
A fossil contains 19% of the carbon-14 that the organism contained when it was alive. Graphically estimate its age. Use 5700 years for the half-life of carbon-14.
The fossil is approximately _years old.
(Round to the nearest integer as needed.)
Answers
.5=e^5700k
To figure out k here take the natural log of both sides:
ln(.5)=5700k
Then solve for k:
k=ln(.5)/5700 ~~ -1.216*10^-4
Now that we know what k is, we can go back to the original question and plug in everything we know! Our new equation should look like this:
.04=e^((ln(.5)/5700)t)
Solving for t works the same as solving for k, take the natural log of both sides:
ln(.04)=(ln(.5)/5700)t
Then solve for t:
t=ln(.04)/(ln(.5)/5700) ~~ 26469.98 years
what percent of 145 is 82
Answers
Answer:
118.9
Step-by-step explanation:
145 x 0.82
= 118.9