Answer:
-2 and 1
Step-by-step explanation:
The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.
__
Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...
10x +5y = -15
The second relation tells us ...
6x +2y = -10
We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:
2x +y = -33x +y = -5__
We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:
(3x +y) -(2x +y) = (-5) -(-3)
x = -2 . . . . . . . . . . simplify
2(-2) +y = -3 . . . . substitute for y
y = 1 . . . . . . . . . . add 4
The two numbers are -2 and 1.
Harvey the wonder Hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate find his average speed in kilometers per hour
let's firstly convert the mixed fractio to improper fraction.
[tex]\stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} Km s&Hour\\ \cline{1-2} \frac{19}{6}&\frac{1}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{19}{6}~~}{x}~~ = ~~\cfrac{~~ \frac{1}{4}~~}{1}\implies \cfrac{~~ \frac{19}{6}~~}{\frac{x}{1}}=\cfrac{1}{4}\implies \cfrac{19}{6}\cdot \cfrac{1}{x}=\cfrac{1}{4} \\\\\\ \cfrac{19}{6x}=\cfrac{1}{4}\implies 76=6x\implies \cfrac{76}{6}=x\implies \cfrac{38}{3}=x\implies 12\frac{2}{3}=x[/tex]
Which sign completes each expression?
0.3
>
0.25
0.35
0.4
0.05
0.1
Answer:
Below
Step-by-step explanation:
0.3>0.25
0.35<0.4
0.05<0.1
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
The best reason is Subtraction Property of Equality.
The correct option is (B)
What is Subtraction Property of Equality?The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.
Given:
AB + 6 = 24
So,
AB= 24-6
AB = 18 (Subtraction Property of Equality)
Hence, the best reason is Subtraction Property of Equality.
Learn more about Subtraction Property of Equality here:
https://brainly.com/question/9070018
#SPJ2
Factor the polynomials comletely, then solve 9x^2 +66x+21 = 0
Answer:
x= -1/3
x = -7
Step-by-step explanation:
9x^2 +66x+21 = 0
a=9 b=66 c=21
quadratic formula
x=(-b +/- square root of (b^2 – 4ac))/(2a)
x = (-66 +/- square root of (66^2 -4*9*21))/(2*9)
x = (-66 +/- square root of (4356 -756))/(18)
x = (-66 +/- square root of (3600))/(18)
x = (-66 +/- 60)/18
split the fraction
(-66 +/- 60)/18 = -6/18 and -126/18 because of the +/-
x = -6/18 x = -126/18
x = -1/3 x = -7
[tex]~~~~~~9x^2+66x+21 = 0\\\\\implies 3(3x^2+22x+7)=0\\\\\implies 3x^2+22x+7=0\\\\\implies 3x^2 +21x +x +7=0\\\\\implies 3x(x+7) +(x+7)=0\\\\\implies (x+7)(3x+1)=0\\\\\implies x = -7~~ \text{or}~~ x =-\dfrac 13[/tex]
John is 62 inches tall. He is stacking algebra books on his desk. His teacher tells him not to make the stack taller than his own height. The top
of his desk is 32 inches from the floor, and each book is 1.5 inches thick. John wants to write an inequality to show how many books he could
stack.
Which inequality sign should John use?
Answer:
The answer would be [tex]\leq[/tex] :)
Step-by-step explanation:
The equation would look like this :)
1.5x + 32 [tex]\leq[/tex] 62
Have an amazing day!!
Please rate and mark brainliest!!
Meghan crocheted a triangular shawl.
3.61 ft 3 ft 3.61 ft 4 ft
What is the area of the shawl?
A. 6 square feet
B. 11.22 square feet
C. 12 square feet
D. 17.22 square feet
You have $6.44 to spend on easter sweets You buy 1 chocolate bunny for $2.19 and 1 chocolate egg for $1.83. with the money left , which flower could you buy? the daisy costs $2.35 and the rose costs $2.55.
Answer:
DAISY
Step-by-step explanation:
6.44-2.19-1.83=2.42.
You can buy the DAISY
(in the nonstatistical term, you can tell that it could be the daisy because if you had 2.55 you could buy both)
Daisy
Step-by-step explanation:
$6.44 - $2.19 = $4.25 $4.25 - $1.83 = $2.42
You only have $2.42 left. Daisy cost $2.35 and Rose cost $2.55
calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form
The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance
That the subject is physics if an assignment is submitted on time?
OA 82.396
ОВ.
88.596
Ос.
89.796
OD. insufficient data
ved.
D. insufficient data
We need to know the number of assignments in each class before we can tell the probability of interest.
__
If we assume the same number of assignments in each class, then 25.1% of on-time assignments were in physics. We note this is not an answer choice, further confirming we have insufficient data.
2x5/8 and leave your answer as An improper fraction:
7/16
10/16
7/8
10/8
Answer:
10/8
Step-by-step explanation:
[tex]2 \times \frac{5}{8} \\ \\ = \frac{2 \times 5}{8} \\ \\ = \frac{10}{8} [/tex]
the equation A = bh is used to calculate the area, A , of a parallelogram with base, b , and height, h . Calculate the area of a parallelogram with a base of 15 inches and a height of 9 inches
Answer:
135
Step-by-step explanation:
A = bh
A = 15 x 9
A = 135
Based on this equation, estimate the number of wins for a team that scores 222 goals per match.
Answer:
Based on this equation, we estimate a team that scores 222 goals per match to have 24.524. 524, point, 5 wins.
To find the probability of two
independent events, you
their
probabilities.
A) add
B) subtract
C) multiply D) divide
Answer: You Multiply
Step-by-step explanation:
) What is the perimeter? use 3.14
(4 pts.)
for pi.
beri
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answer:
34.54
Step-by-step explanation:
11in as diameter
3.14 as pi
11x3.12=34.54
Pls dont get mad if im wrong im trying my best :)
Answer:
73.81 in
Step-by-step explanation:
First we begin with the 3/4 circle perimeter:
(3.14) * diameter * 3/4
[tex](3.14) * 22 * \frac{3}{4} = 51.81[/tex]
Then we add the two remaining lines:
11 + 11 = 22
Adding up these two we get:
[tex]51.81 + 22 = 73.81[/tex]
Can someone please help me solve this? or at least explain how I would go about solving this?
Answer:
find the probaillity of each one.
Step-by-step explanation:
Evaluate the expression (9x3)^2 -4^0
Answer:
728
Step-by-step explanation:
(9x3)^2-4^0
First solve in parenthesis,
Then solve exponents.
27^2 - 4^0
729 - 1
728
HELLPPPP CAN SOMEONE HELP!
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 4
Answer:
3
Step-by-step explanation:
HTT, THT, TTH
x=[ ? ]°
х
x
What is the answer?
Answer:
x = 60
Step-by-step explanation:
Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent
So triangle equals 180 degrees and 60 times 3 equals 180
Step-by-step explanation:
x + x + x = 180° ( sum of interior angle of triangle is 180°)
3x = 180°
x = 180° / 3
x = 60°
Please help me with this please and thank you
Answer:
Nnnnnnnnnnnn
Step-by-step explanation:
L bozo
What does 2k^4 * 10k^-7 equal?
Answer:
0.0000016k
Step-by-step explanation:
1. Solve
2k^4x10k^-7
16k*0.0000001k
0.0000016k
75 percent of 32 students had an A,how many students did not get an A?
Answer:
8 did not get an A
Step-by-step explanation:
75% obtained an A , then
25% did not obtain an A
25% of 32
= [tex]\frac{25}{100}[/tex] × 32
= 0.25 × 32
= 8
the question is there pls help im going to die i don't get this done. (21 points) promise :(
Answer:
B
Step-by-step explanation:
four times as much;
i need help in math this is hard for me 2/3+1/9
Answer:
0.77777777777 or simplified to 0.8
Step-by-step explanation:
A 50:1 scale drawing of your garden shows dimensions of 12 cm by 10.5 cm. how many
square cm are covered by your real garden?
50:1 scale drawing -> Both sides of the garden is shrinked by 50 times.
We can calculate the area of the shrinked scale drawing : 12 x 10.5 = 126 (cm2)
Since both sides are shrinked by 50 times -> The real area get shrinked by 2500 times.
So, we can find the real area : 126 x 2500 = 315000 (cm2)
The point P is on the unit circle. If the y-coordinate of P is -3/7
and P is in quadrant IV, then
T=
Question Help: Video
Submit Question
Answer: [tex]\bold{x=\frac{2 \sqrt{10}}{7}}[/tex]
Step-by-step explanation:
[tex]\text { Let } p=\left(x,-\frac{3}{7}\right) \text { as given } y \text {-coordinate is }=-\frac{3}{7}[/tex]
[tex]r=1 \ \ \text{(as $p$ is on unit circle)} \\$$\therefore x^{2}+y^{2}=1^{2}[/tex]
[tex]\begin{aligned}&\Rightarrow x^{2}+\left(-\frac{3}{7}\right)^{2}=1 \Rightarrow x^{2}=1-\frac{9}{49}=\frac{40}{49} \\&\Rightarrow x^{2}=\pm \sqrt{\frac{40}{49}} \Rightarrow x=\pm \frac{2 \sqrt{10}}{7}\end{aligned}[/tex]
[tex]$$Since the point is in quadrant $4$ $\therefore \text{the} \ x$-coordinate will be positive$$\therefore x=\frac{2 \sqrt{10}}{7} \text$$[/tex]
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
5 : 8 = 5/87 : 9 = 7/9In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
The equivalent fractions with common denominator are:
5/8 = 9*5/(9*8) = 45/727/9 = 8*7/(8*9) = 56/72Now we can compare the fractions:
45/72 < 56/72, since 45 < 56To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.
A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages
B. 365 ÷ 10= 2/73 pages
C. 10÷365 = 365/10 = 3 5/10= 3 1/2 pages
D. 10÷365 = 2/73 pages
(PLS ANSWER ONE OF THE OPTIONS)
Answer: A
Step-by-step explanation:
365/10 is the best way to figure it out
Answer:
A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages
Explanation:
rate = total pages/total days
Here:
total pages = 365 pagestotal days = 10 daysRate:
365 ÷ 10 = 365/10 = 36 1/2 pages per day
The blueprint for the Moreno's living room has a scale of . The family wants to 2 inches= 3 feet use a scale of 1 inch =4 feet. What is the width of the living room on the new blueprint?
Answer:
If I am understanding the question correctly, every 6 feet in real life will be equivalent to 1 inch "on paper", or in the blueprint. Using dimensional analysis, which is a methodology for converting from one unit to another, we have:
18 feet * 1 inch / 6 feet = 3 inches
On the other axis,
24 feet * 1 inch / 6 feet = 4 inches
Therefore, the blueprint for this 18x24 foot room, with a scale of 6 feet:1inch, should be 3x4 inches.
Help please I’m not sure what I’m supposed to do
Answer:
6r & 30
Step-by-step explanation:
5(6r+6)
=5*6r+5*6
=30r+30
What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3
Answer:
C
Step-by-step explanation:
2√3 / √6 Multiply top and bottom by √6
(2√3 * √6) / (√6 √6 ) Combine left factors
(2 √18) / (√6 √6 ) (√6 √6 ) = 6
(3 √18) / 6 Factor 18
(3 √2 * 3 * 3 Take one 3 outside the brackets. Discard the other three.
3*3 *2√2/6 Divide top and bottom by 6
Answer: 3 √2
Answer:
Step-by-step explanation:
A. square root of 2, Took it on edg. and passed.