Answer:
4y + 8 vegetable seeds
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
We know that Frank has 2 gardens, one with y vegetable seeds and another with 3y + 8 vegetable seeds. If we are trying to find the total amount of seeds planted, we must add the 2 gardens together:
Garden 1: y
Garden 2: 3y + 8
Garden 1 + Garden 2 = Total veggie seeds
y + 3y + 8 = Total veggie seeds
Total veggie seeds = 4y + 8
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?
Answer:
4 teachers for 28 students
Step-by-step explanation:
28/7 = 4
2(3x - 32y) + 3(-2x - 4y)
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
PLEASE HELP ASAP
TRIGONOMETRY
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x) = [tex]\frac{27}{30}[/tex]
x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(x) = [tex]\frac{43}{18}[/tex]
x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]
x = 67.29°
x ≈ 67.3°
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
Michael has $1,000.95 in his checking account. He is going to spend $472.87 on a new television, and he will spend the rest on speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$1,000.95 < $48.00x + $1,000.95
B.
$472.87 + $48.00 + x < $1,000.95
C.
$48.00x + $472.87 < $1,000.95
D.
$1,000.95 + $472.87 > $48.00 + x
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.
Answer:
Answer is in the photo so you have so look in this give wribsite
Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=
Answer:
i have made it in above picture
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
Find the identical expression for the following plz show work
I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE
Answer:
54
Step-by-step explanation:
2/3(7-16)^2
2/3(-9)^2
2/3*81
54
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.