Answer:
your answer is 15
Step-by-step explanation:
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?
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
what does 10 = 4y equal to
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
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)
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
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.
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.
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are the triangles AA, SAS, SSS or not similar ?
Answer:
I think SSS ,.............
Find the measure of each angle indicated. Round to the nearest tenth.
Answer:
missing angle = 67.8 degrees
Step-by-step explanation:
[tex]cos-1 = \frac{adjacent}{hypotenuse}[/tex]
[tex]cos-1 = \frac{5.3}{14}[/tex]
[tex]cos-1 = 0.378571428[/tex]
[tex]67.754 = 67.8[/tex]
C) 67.8° is the value of theta in the given right-angled triangle.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, a right-angled triangle whose adjacent and hypotenuse are 5.3 and 14 respectively.
We know cos(theta) = adjacent/hypotenuse.
∴ theta = cos⁻¹(adjacent/hypotenuse).
theta = cos⁻¹(5.3/14).
theta = cos⁻¹(0.3786).
theta = 67.8°.
learn more about inverse trigonometric functions here :
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In ΔSTU, the measure of ∠U=90°, the measure of ∠T=32°, and US = 5.8 feet. Find the length of ST to the nearest tenth of a foot.
Can somebody please help me out?
Answer:
10.9451≈10.9 feet
Step-by-step explanation:
sinT= hypotenuse/ opposite = x/5.8
sin32= x/5.8
x*sin 32=5.8
x=5.8/sin 32= 10.9451≈10.9 feet
helppp I NEED TO FIND AREA
Answer:
The area is 75 in²
Step-by-step explanation:
Area of trapezoid is:[tex] \rm Area = \frac{(21 + 9) \times 5 }{2} [/tex]
[tex] \rm Area = \frac{ \cancel{30} \times 5}{\cancel{2}} [/tex]
[tex] \rm Area = 15 \times 5 [/tex]
[tex] \blue{\boxed{\rm Area = 75 {in}^{2}}} [/tex]
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?
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 percent of 145 is 82
Answer:
118.9
Step-by-step explanation:
145 x 0.82
= 118.9
-20 is an integer.
Is this True or False
Answer:
Yes it is.
Step-by-step explanation:
All whole numbers are integers.
Can yall help me on thiss
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
Answer:
C D E is the answer
Step-by-step explanation:
i just know
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)
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
5. If possible, find the missing side length labeled with a question mark. If no possible,explain why
Answer:
10
Step-by-step explanation:
I think is 10 because they are different triangles but both with the same measure, as you can see both angles are the same [36] and both sides of the triangle too [6] so when you divide the base [20] by 2 , 20÷2=10
Does anyone know how to do this?
ooooooooooooooooooooooooooooooooo y=5x+2
Answer:
I need the whole question plz.
Step-by-step explanation:
x=1 y=7
x=2 y=12
etc.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
The angles are adjacent. x = 100°
Step-by-step explanation:
x + 80 = 180
x = 100
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.)
are the numbers from the table -2, 0, 2, and 4 linear or nonlinear?
how about -1, 0, 1, 2?
Answer:
linear the first and the second
It takes one week for a crew of workers to pave 3/5 kilometer of a road. At that rate, how long will it take to pave 1 kilometer?
Answer:
1.67 weeks
Step-by-step explanation:
Let X= time it will take to pave 1 kilometer?
1 week=3/5 kilometer
X week =1 kilometer
Cross multiply
3/5 X= 1
3X= 5
X= 5/3
1.67 weeks
Can someone help me?
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:
Find the product. Write your answer in scientific notation.
(7 x 10^-2) (8 x 10^5) =
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:
Find the value of a.
A: 3
B: 4
C: 6
D: 9
Answer:
D
Step-by-step explanation:
3-4-5 triangle
a^2+b^2=c^2
a=3
b=4
c=5
3^2=9
Answer:
im pretty sure its 3 bc if you count down the left side of blocks in each square that is the value.
Im confused on #6...help anyone?
Answer:
Step-by-step explanation:
Using elimination means you either add the two equations together or subtract them. You can first multiply the second equation by 2, so you get 4x - 6y = 24. Then you add the two equations together to get 9x = 42. Then you solve for x and then you can solve for y.
HELP PLS MARKING BRAINLEIST
Answer:
it's 2 1/2 so D
Step-by-step explanation:
it's not in the negatives so that immediately gets rid of B and C, and it's not past the number 3 so it's not A. it's in the middle of 2 and 3 which marks it as 2 1/2.
What is the perimeter of the parallelogram below?
someone help, quadratic graphs
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]
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!!
What is the answer for X+2y=1
Answer:
to solve for x: x=2y-1
to solve for y: y=-x/2+1/2
To graph: