Answer:
32
Step-by-step explanation:
let the space be x
x + 27 + x + 27 + x = 150
3x + 54 = 150
3x = 96
x= 32
A 12 count box of Ouaker Instant Grits has a UPCof 00030000047606. What is the check number?
A)0
B)4
C)6
D)7
Answer:
6
Step-by-step explanation:
For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answer:
es verdadero
Step-by-step explanation:
.................................
Answer:
0
Step-by-step explanation:
Given:
(-3, 2)
(4, 2)
Required:
Slope that passes through the two points given.
Solution:
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (-3, 2) = (x_1, y_1) [/tex]
[tex] (4, 2) = (x_2, y_2) [/tex]
Plug in the values into the formula
Slope = [tex] \frac{2 - 2}{4 -(-3)} [/tex]
[tex] = \frac{0}{7} [/tex]
[tex] slope = 0 [/tex]
Is the following a function? Each student's unique identification number paired with their grade level
Answer:
Yes, because each student's indetification number paired with their grade level
Step-by-step explanation:
Please I really need help with this question!!
1. Slope of segment BC
2. Slope of segment AD
3. Length of segment BC
4. Length of segment AD
5. ABCD is a ________
Answer:
Step-by-step explanation:
1 and 2.
slope is m = ( y2-y1) / (x2-x1)
slope of BC = 5-3 /6-1 = 2/5
slope of AD = 1 +1 / 7-2 = 2/5
3 and 4
use the distance formula d= √(x2-x1)² +(y2-y1)²
BC = √( 6-1)²+(5-3)² = √5²+2²= √29
AD = √(7-2)²+(1+1)² = √5²+2² = √29
5.
since BC and AD have the same slope then they are parallel
since BC and AD are same length the segments are ≅
so ABCD is a rectangle
Evaluate:
10 x [(6 + 4) = 2]
Answer:
You have to pay close attention to the Order of Operations.
10(6+4)/2. Grouping symbols first.
6+4=10.
10(10)/2
10*10=100.
100/2.
50 is your answer
Step-by-step explanation:
Don't forget to rate me for this answer the Brainliest!
The sum of two numbers is 96 the larger number is nine less than four times the smaller number find both numbers
Answer:
21 and 96
Step-by-step explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.
Solve the question above please <3
Please help would mean alot
Answer:
5
Step-by-step explanation:
they are all being multiplied by 5.
Answer:
Y = 5x
Step-by-step explanation: It is that because they are multiplying everything by 5.
You have 2/4 of a pizza and you want to share it equally between 2
people. How much of the pizza does each person get?
Answer:
1/4
Step-by-step explanation:
2/4 divided by 2 equals 1/4.
Answer:
HonEy me dont no no anything PERIODT
Step-by-step explanation:
GUYS PLEASE HELPPPP (and dont take the points pls)
Answer:
12.9
Step-by-step explanation:
Let's understand this,
Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.
According to question,
cosine or cos thita = Base/Hypotenuse
Cos 30° = 15/H
0.86 = 15/H
H = 0.86 × 15
H = 12.9 (Round off 13)
Hope it helps!
Simplify and answer the boxes.
Answer:
[tex]\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}[/tex]
Step-by-step explanation:
Domain:
[tex]x-3y\neq0\Rightarrow x\neq3y[/tex]
[tex]\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y[/tex]
Used:
The distributive property: a(b + c) = ab + ac
(a - b)² = a² - 2ab + b²
Pleasee help ASAP I’m begging u plssss
PLEASE HELP ME!!!!!!!!!!
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]
= [tex]\frac{-7}{10}[/tex]
= -7/10
The weights of an orange in the bin at the grocery store vary normally with a mean of 10 oz. and a standard deviation of 2.5 oz. If you randomly pick two oranges out of the bin, what is the probability that the difference in their weight is at least 1 oz?
a) 0.421
b) 0.389
c) 0.778
d) 0.135
e) 0.842
Answer:
e) 0.842
Step-by-step explanation:
Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?
Answer:
Step-by-step explanation:
monthly express as p
in a year she will have 12p+5,500
Based on the graph below, what is f(2)?
0
1
2
-2
Answer:
the answer is 2 or c good luck
Answer:
C. 2
Step-by-step explanation:
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be more than 59 pounds _________.
a) 0.1003
b) 0.3997
c) 0.6003
d) 0.8997
e) 0.0003
Answer:
A: 0.1003
Step-by-step explanation:
We are given;
Population mean; μ = 56.8
Population size; n = 51
Population standard deviation; σ = 12.3
We want to find; P(x > 59)
We will use the z-score formula.
z = (x - μ)/(σ/√n)
z = (59 - 56.8)/(12.3/√51)
z = 1.28
From z-distribution table attached, we have; P(z < 1.28) = 0.8997
Thus;
P(z > 1.28) = 1 - 0.8997 = 0.1003
Use the Distributive Property to create an expression equivalent to 8 x ( 13 + 7 )
Answer:
160....................
Answer:
Step-by-step explanation:
help me pls big points
Answer:
the answer should be 18.5
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
Brandon is going to invest in an account paying an interest rate of 5% compounded quarterly. How much would Brandon need to invest, to the nearest dollar, for the value of the account to reach $490 in 16 years?
Answer:
Brandon wants $490 in 16 years by investing "x" dollars in an account that pays 5% compounded quarterly. How much is "x"?
Principal = Total / [ (1 + (r/n) )^ n * years]
n = 4 (for compounded quarterly)
Principal = 490 / [ (1. + (.05/4)) ^ 4 * 16]
Principal = 490 / [ (1.0125)^ 64]
Principal = 490 / 2.2145324106
Principal = 221.2656710971
So, if we invested 221.27 for 16 years at 5% compounded quarterly interest, we would have a total of $490.00
Step-by-step explanation:
Answer:
221
Step-by-step explanation:
I just know
Please show me the work!
Answer:
9/2π cm/s
Step-by-step explanation:
Volume of the spherical balloon V= 4/3πr³
Rate of change of volume dV/dt = dV/dr * dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
If V = 72cm²/s
72 = 16π*dr/dt
dr/dt = 72/16π
dr/dt = 9/2π cm/s
Hence the radius is changing at 9/2π cm/s
please help me with my homework :)
PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
a: 1/7 +2/7
b:1/7 +1/7+1/7
What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
how you can use Triangle congruence to solve real-world problems? give 3 examples.
Answer:
1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.
3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.
8.
Which of the following is not sufficient to
prove a quadrilateral a parallelogram.
a. Show both pairs of opposite sides congruent.
b. Show both pairs of opposite angles congruent.
c. Show both pairs of opposite sides parallel.
d. Show one pair of opposite sides congruent and
the other pair of opposite sides ||-
e. Show the diagonals bisect each other.