Answer:
The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.
Step-by-step explanation:
We proceed to present the demonstration of the following proposition:
If Y is the midpoint of XZ, then XY = 1/2 XZ.
1) Y is the midpoint of XZ. Given.
2) [tex]XY + YZ = XZ[/tex] Definition of line segment.
3) [tex]XY = YZ[/tex] By 1)
4) [tex]2\cdot XY = XZ[/tex] 3) in 2)
5) [tex]XY = \frac{1}{2}\cdot XZ[/tex] Algebra/Result
Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.
Suppose that 24 inches of wire costs 96 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
Answer:
Step-by-step explanation:
24inches = 96 cents
To find the cost of 1 inch, divide 96 cents by 24.
1 inch = 96/24 = 4 cents
Then to find the cost of 47 inches, multiply by 4.
47 inches = 47 x 4 = 188 cents.
Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business. If Samantha's earnings continue to increase at the same rate, by how much are her earnings increasing each day? $________ per day Show your work. HINT: Find the slope.
Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
Slope of the points (0,-4) (2,-1)
On Monday, your bank account balance was −$12.92. Because you didn't realize this, you wrote a check for $30.41 for groceries. What is the new balance in your account?
Which of these numbers rounds to 0.3 when rounded to 1 decimal place?
Answer:
Anything from 0.31 - 0.34 rounds to 0.3
Solve the following system.
y + 4z = -14
x + 3z = -8
2x-3y=8
Please actually help and don’t just answer with “idk” for points
Answer:
[tex]y=-2,\:\\x=1,\:\\z=-3[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y+4z=-14\\ x+3z=-8\\ 2x-3y=8\end{bmatrix}\\\\Isolate\:y\:for\:y+4z =-14\: : \:y=-14-4z\\\\\mathrm{Subsititute\:}y=-14-4z\\\\\begin{bmatrix}x+3z=-8\\ 2x-3\left(-14-4z\right)=8\end{bmatrix}\\\\Isolate\:x\:for\:x+3z =-8\: :\:x =-8-3z\\\mathrm{Subsititute\:}x=-8-3z\\\\\begin{bmatrix}2\left(-8-3z\right)-3\left(-14-4z\right)=8\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}6z+26=8\end{bmatrix}\\\\Isolate\:z\:for 6z+26=8 \: ;\:z =-3\\\\\mathrm{For\:}x=-8-3z\\\\[/tex]
[tex]\mathrm{Subsititute\:}z=-3\\\\x=-8-3\left(-3\right)\\\\-8-3\left(-3\right)=1\\\\x=1\\\\\mathrm{For\:}y=-14-4z\\\\\mathrm{Subsititute\:}x=1,\:z=-3\\\\y=-14-4\left(-3\right)\\\\-14-4\left(-3\right)=-2\\\\y=-2\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=-2,\:x=1,\:z=-3[/tex]
What is the binomial expansion of (m + 2)4?
The expansion will have
terms with coefficients from row
of Pascal’s triangle.
Answer:
4m+8
Step-by-step explanation:
4(m+2) use distributive property
Answer:
The expansion will have 5 terms with coefficients from row 4 of Pascal’s triangle.
Step-by-step explanation:
#4 PLS HELP I WILL MARK BRAINLIEST IF ITS CORRECT
Answer: the answer would be c
Step-by-step explanation:
1. Assume that the number of hours Jose spent practicing soccer is
represented by x. Miguel practiced 5 hours more than 2 times the
number of hours that Jose practiced. How long did Miguel
practice?
a. 2x + 5
b. 2x − 5
c. 2x + 8
d. 5x + 5
2. Zack gets paid five dollars less than three times what Ty'Shaun gets
paid. If the number of dollars that Ty'Shaun gets paid is represented
by x, what does Zack get paid?
a. 5 − 3x
b. 5x − 3
c. 3x − 5
d. 3 − 5x
3. If the expression 9y − 5 represents a certain number, which of the
following could NOT be the translation?
a. five less than nine times y
b. five less than the sum of 9 and y
c. the difference between 9y and 5
d. the product of nine and y, decreased by 5
4. Brenda starts work at 4:00 and Dee starts at 5:00. They both finish at the
same time. If Angela works x hours, how many hours does Dee work?
a. x + 1
b. x − 1
c. x
d. 2x
5. Isabel bought six books that cost d dollars each. What is the total cost
of the books?
a. d + 6
b. d + d
c. 6d
Ashley makes y dollars per hour. Richard makes three times as much. How much does Richard make per hour?
Richard makes 3y per hour.
Since there are no numbers indicating the wage, this is the only logical answer.
What is the slope of the line graphed below (3,5) (0,-1)
can someone help me? i'm confunsed and I don't know anything
Answer:
See Below
Step-by-step explanation:
ABCD primes all correspond to x and y values on the graph.
A=
B=
C=
D=
1) y- intercept
2) time of max height
3) time when balloon hits ground
4) x-intercept
5) max height
6) Initial height
So lets look at (0,A)
This would count as the y - intercept as well as the height they started throwing the balloons.
Soo....
A = y-intercept; Initial height
Now, (B,C)
This is the highest point on the graph, therefore it would be the max time and max height.
If we look at this as a person behind the line throwing the ballon, the y would be the height and the x would be the time
B = Time of max height
C=Max height
(D,0)
From the visual above, this point would be where the balloon hits the ground
From the visual in our head, x is time and y is height
Since d is the x, it is the time when the balloon hits the ground. And since
y =0, D is also the x intercept
D = x intercept, Time when balloon hits ground
Therefore,
A = y-intercept; Initial height
B = Time of max height
C=Max height
D = x intercept, Time when balloon hits ground
Hope this helps! =D
2. Solve the system by substitution. (1 point)
2x – y + z = -4
z = 5
-2x + 3y - 2 = -10
O(-8,7,5)
O(-8. -7,5)
O(8, -7,5)
O(-8, -7,-5)
Answer:
Answer for this one is second one (-8,-7,5)
Step-by-step explanation:
Hope it will help you :)
HELP!
Keiko has a 20% copays for hospital visits after paying her deductible. Assuming she already paid her deductible earlier in the year, how much will she pay (copay) for a hospital bill of $3,291?
A. $328.90
B. $658.20
C. $2,632.80
D. $1,645.50
Answer:
$658.20
Step-by-step explanation:
Money paid in deductible = $3,291
percentage of money to be co-paid = 20% of Money paid in deductible
Thus, she has to 20 percent more which will be 20/100 th part of money paid in deductible.
Solving it we have
Money to be co-paid = 20% of $3,291 = 20/100 * $3,291 = $658.20
Thus, Keiko will pay (copay) $658.20 for the hospital bill
An equation is shown below:
4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation?
The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
By applying the distributive law to this equation, we can produce the equation :
4x − 12 − 5x − 5 = 3;
The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;
4(x − 3) − 5(x + 1) = 3
In the equation;
4 distribute over the first parentheses and -5 over the second one;
So we expand;
4x - 13 - 5x -5 = 3
In distributive property, expansion simply takes place.
The next model of a sport car will cost 3.6% more than the current model. The current model cost $42,000. How much will the price in dollars? What will be the price of the next model
Answer:
$43,512
Step-by-step explanation:
3.6% = 0.036
0.036 * 42,000 = 1,512
42,000 + 1,512 = 43,512
Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?
Answer:
700n + 300
Step-by-step explanation:
We know that no matter what happens, Sarah has to pay a One-Time $300 for her deposit.
Now, we know that for every month she stays in the apartment, it will cost her $700.
So, we can come up with a formula to find out how much she would pay:
700n + 300
Hope this helps!
The temp at a mountain base camp was -5 degrees Celsius on Wednesday. Thursday morning the temp was 2 degrees lower than it was on Wednesday. by Thursday evening the temp was 1 degree Celsius lower than it was that morning. What was the temp at Thursday morning.
A.-9
B.-8
C.-7
D.-6
Answer:
-8
Step-by-step explanation:
Is 1,815 a rational number?
Answer:
The square root of 1815 is a rational number if 1815 is a perfect square. It is an irrational number if it is not a perfect square. Since 1815 is not a perfect square, it is an irrational number.
Step-by-step explanation:
I comfirmed this, it’s most likely right! (;
A baker is making rolls. He has 20 pounds of dough. Each roll is made from 1/8
pounds of dough. How many rolls can he make?
Triangle ABC is transformed to triangle A′B′C′, as shown below:
A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle CAB = The measure of angle C prime B prime A prime
The measure of angle BCA = The measure of angle A prime B prime C
The measure of angle CAB = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle C prime A prime B prime low
Answer:
The measure of angle BCA = The measure of angle A prime B prime C
How to convert 9 yards into feet
There are 3 feet in a yard. So to find how many feet are in 9 yards, all you have to do is multiply 9x3 which is 27.
Hope this helped :)
Answer:
Step-by-step explanation:
1 yard= 3 feet
9 multiplied by 3 equals 27
9 yards= 27 feet
A formula to find the angle measures of an isosceles triangle is shown. 180=2x+y Which equation can be used to find x?
A. [tex]x=\frac{180-y}{2}[/tex]
B. [tex]x=\frac{180+y}{2}[/tex]
C. [tex]x=90-y[/tex]
D. [tex]x=90+y[/tex]
Write 3 Equivalent ratios for the following ratio: 3:4
Answer:
3:4=6:8=12:16=24:32
Step-by-step explanation:
To find an equivalent ratio, you just need to multiply or divide both quantities by the same number.
A car show is making a model of 1980 Ford truck. The model is 10 inches long. If the model truck has a scale of 3 in: 2ft, how tall is the actual truck?
Answer:
Step-by-step explanation:
3 inches is 2 feet
10 inches is 6.66 feet (no this isn't a joke)
help me im stoopid lol
Answer: 6
Step-by-step explanation:
Plug in x for 1
Y=-4(1)+10
Y=-4+10
Y=6
Japanese 22 pirate for every two pirate ships he manages
Answer:
He should sell them he would be rich.
Step-by-step explanation:
What is the answer?
-6 x -6
Answer:
36
Step-by-step explanation:
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Answer: Explain it better please.
Step-by-step explanation:
the answer is -9, -2.2
(-4,-5) (36,11)
divide
36 / -4
and
11 / -5
=
-9, -2.2
Find an equivalent expression to 7y + 28x