Step-by-step explanation:
Givens:
ParallelogramQR || TSQT || RSQS ≅ SQWith that information, we can figure out the rest.
∠RQS≅∠TSQ and ∠QSR≅∠SQT --- these are alternate interior angles, on opposite sides of the transversal QS while between parallel lines
Finally, ΔQST≅SQR because of ASA.
===============
sorry that took so long, I severely overcomplicated things before seeing the simple solution
Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?
Answer:
3.5 cups of sugar per bag.
Step-by-step explanation:
17.5/5
3.5 cups of sugar are used to make 1 bag of cotton candy
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 5 bags of candy = 17.5 cups of sugar needed
and, For 1 bags of candy
=17.5/ 5
=3.5 cups of sugar needed
hence, 3.5 cups of sugar are used to make 1 bag of cotton candy
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36
Answer: A 2-column table with 3 rows.
Step-by-step explanation:
If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)
[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]
167.67 divided by 8.1
Answer:
167.67 divided by 8.1 = 20.7
9/10 - _ = 1/5 mathematics
Answer:
x=7/10
Step-by-step explanation:
1/5=2/10
9/10- =2/10
Substitute the blank with X
9/10- X =2/10
x=7/10
Answer:
7/10
Step-by-step explanation:
9/10 - _ = 1/5
Let's represent the unknown as x
Therefore,
9/10 - x = 1/5
9/10 - 1/5 = x
x = 9/10 - 1/5 = 7/10
A freight train 22.5 miles per 60 miles to its destination how far from the destination will the train be in 2.5 hour
Can someone check my work and show me where I went wrong?
Answer:
the part where it's 25 and 183 should be 5400 if you are rounding to the nearest 10 and then multiplying
Answer:
You made a wrong answer in 183 and 25.
It should be 5,400
Step-by-step explanation:
183 round to the nearest ten = 180
25 round to the nearest ten = 30
180 * 30 = 5,400
Brainliest to the one thats right
Answer:
Option C is correct.
Step-by-step explanation:
In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?
Can someone explain how to do this.
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
14/15 + 8/15 + 4/5 please help
Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
87 is 12.5% of what number?
Answer:
696
Step-by-step explanation:
A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?
Answer:
6[tex]\frac{2}{3}[/tex] inches tall
Step-by-step explanation:
4:6 = x:10
We can set it up like this:
[tex]\frac{4}{6}=\frac{x}{10}[/tex]
And then cross multiply & solve:
40 = 6x
6[tex]\frac{2}{3}[/tex] = x
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A store pays $306.56 for a refrigerator. The store marks up the price by 29%. What is the amount of the mark-up?
3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
Need help with thissss!!
Answer:
f(5) = 38
Step-by-step explanation:
f(a) = 7(a + 1) - 4
f(5) = 7(5 + 1) - 4
f(5) = 7(6) - 4
f(5) = 42 - 4
f(5) = 38
158) -.- A) P-3 in B) P-86 C) P-92 in D) P96 4
Answer:
P = 83 in
Step-by-step explanation:
For this one, all we need to do is substitute 7 for x and 4 for y:
3x + y = ?
3(7) + 4 =?
21 +4 = ?
21 + 4 = 25 in.
Now for the next one:
4y = ?
4(4) = ?
4(4) = 16
Now we solve the final side:
6x = ?
6(7) = ?
6(7) = 42
Now to find P, we must add them all together:
25 + 16 + 42 = 83
Therefore P = 83
Answer:
A) P = 83
Step-by-step explanation:
-=======================-
3x + y
3(7) + 4 =
21 + 4 =
25
-=======================-
6x
6(7)
42
-=======================-
4y
4(4)
16
-=======================-
25 + 16 + 42 = 83
Hope this helps.
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3
Answer:
33/100
Step-by-step explanation:
E = 99/3
p = E/S = 33/100
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35
Answer:
Step-by-step explanation:
just do 35-17
Answer:
Step-by-step explanation:
first find b.
To find b, subtract 17 from 35.
35 - 17 = b
35 - 17 = 18
next, add 17 and 18 to see if it equals 35.
17 + 18 = 35
so, b = 18.
Can someone explain it step by step ?
Answer:
1. (x - 1) × (x + 3)
2. x = 3 and y = -2
Step-by-step explanation:
x² + 2x - 32x + 3y = 0; y = 3x - 11rewrite the equation:
y = 3x - 11; 2x + 3y = 0
solve y = 3x - 11 for the y:
y = 3x - 11
substitute 3x - 11 for y in 2x + 3y = 0;
2x + 3y = 0;
2x + 3y = 0
2x + 3 (3x - 11) = 0
11x - 33 = 0 (simplify both sides of the equation)
11x - 33 + 33 = 0 + 33 (add 33 to both sides)
11x = 33
11x/11 = 33/11 (divide both sides by 11)
x = 3
subtitute 3 for x in y = 3x - 11
y = 3x - 11
y = (3)×(3) - 11
y = -2
I showed one equation because the other is self explanatory, hope this helps.
Solve this quadratic function
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]
now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]
[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]
A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now
Answer:
$15
Step-by-step explanation:
12+3+15
Answer:
Bill Amount: $12
Tip Percent: 25%
Divide By: 1
= $15
which ones would be correct?
[tex] \: \: \: \: \: [/tex]
parallelogramA parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.hope it helps[tex] \: \: \: \: \: [/tex]
what is perpendicular lines
Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D
Evaluate.
12⋅(1/4+1/3)power 2 +23 help ASAP
Answer:
325/12
Step-by-step explanation:
12(1/4 + 1/3)² + 23
12(7/12)² + 23
12(49/144) + 23
49/12 + 23
325/12 = 27 1/12 = 27.08333333
Patient”s wt: 60 lbs Medication order: 0.5 mg/kg Stock medication : 10 mg/mL, How many mL will you give them?
Answer:
Needs 13.6077 mg/mL, but they have in stock only 10 mg/mL, so will be short 3.6077 mg/dL.
Step-by-step explanation:
1 lb= 0.45359 kg
60lbs converted to kg= 60lb = 27.2154 kg
Medication order 0.5 mg x kg = 0.5 mg x 27.2154 kg = 13.6077 mg/mL
In stock only 10 mg/mL= 13.6077 mg/mL - 10 mg/mL= 3.6077 mg/mL
Will be short 3.6077 mg/mL
Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.
___ km/hour
Answer:
126/1=126
Step-by-step explanation:
630:5 as a fraction would be 630/5.
630/5 simplified would be 126/1.
Hope this helps :)
Answer:
630:5 would be 126:1
Step-by-step explanation:
To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one
Now we have 126:1, or 126 km/hour