\(\tt \large \blue\leadsto \: \: - 5y \: + \: 8 \: = \: - 7\)
\(\tt \large \blue\leadsto \: \: - 5y \: = \: - 7 - 8\)
\(\tt \large \blue\leadsto \: \: - 5y \: = \: - 15\)
\(\tt \large \blue\leadsto \: \:y \: = \: \frac{ \cancel - \cancel{15}}{ \cancel- \cancel5} \\ \)
\(\tt \large \blue\leadsto \: \:y \: = \: 3\)
Answer:
\( - 5y + 8 = - 7\)
\( - 5y = - 7 - 8\)
\( - 5y = - 15\)
\(y = \cancel \frac{ - 15}{ - 5} \: {}^{3} \)
\(y = 3\)
Which of the following illustrates the truth value of the given statements? A triangle has four sides, and a rectangle has three sides. T F → F F T → F T T → T F F → F
Answer:
F F → F
Step-by-step explanation:
The statement is given as:
A triangle has four sides, and a rectangle has three sides.
It is again a false statement since a triangle is a polygon with three sides and a rectangle is a polygon with four sides.
Hence, the answer is:
F F → F
There are three one day cricket matches between India and Australia in a week 6359 people watch with the first match 8531 people watch the second match and 10027 watch the 3rd match how many people in all watch the three matches
help please I will appreciate it.
Answer:
The area is 6\(\sqrt{45}\)
Step-by-step explanation:
Using the Pythagorean Theorem, you'll get that half the base is \(\sqrt{45}\), so the entire base is \(2\sqrt{45}\). Multiply that by the height and divide by two, you'll get that the area of this triangle is 6
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
Find out more on unemployment at https://brainly.com/question/13280244
#SPJ1
The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
MARK AS BRAINLIEST!!!
How many models of 100 do you need to model 4200?
Using proportions, we can say that 42 models of 100 are needed to model 4200.
Ratio and fractions are the main bases on which proportion is explained. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.
In the question, we are asked for the number of models of 100 we need to model 4200.
The given problem can be shown as a proportion with the ratio of the number of models of 100, to the model.
We know that 1 model of 100 makes a model 100.
We assume that n models of 100 makes a model 4200.
By proportion, we can show that:
n/4200 = 1/100,
or, n = 4200/100,
or, n = 42.
Thus, using proportions, we can say that 42 models of 100 are needed to model 4200.
Learn more about proportions at
https://brainly.com/question/595292
#SPJ9
Solve |3x - 4| = 6
{-2/3, 10/3}
{-10/3, 10/3}
{-2/3, 2/3}
Answer:
{-2/3, 10/3}
Step-by-step explanation:
Let's solve your equation step-by-step.
|3x−4|=6
Solve Absolute Value.
|3x−4|=6
We know either3x−4=6or3x−4=−6
3x−4=6(Possibility 1)
3x−4+4=6+4(Add 4 to both sides)
3x=10
3x/3 = 10/3
(Divide both sides by 3)
x=10/3
3x−4=−6(Possibility 2)
3x−4+4=−6+4(Add 4 to both sides)
3x=−2
3x/3 = −2/3
(Divide both sides by 3)
x= −2/3
In the figure below, mZ1=(x+18)° and m2=5xºFind the angle measures.ХmZ1 =m_2 12Check
Step 1:Find the value of x from the diagram below
Step 2: Sum of angles on a straight line
\(\begin{gathered} m<1\text{ = x + 18} \\ m<2\text{ = 5x} \\ m<1+m<2=180^0 \\ x+18+5x=180^0 \\ \text{collect like term} \end{gathered}\)\(\begin{gathered} x+5x\text{ = 180 - 18} \\ 6x\text{ = 162} \\ \text{divide both side by 6} \\ \frac{6x}{6}\text{ =}\frac{162}{6} \\ x=27^0 \end{gathered}\)\(\begin{gathered} m<1\text{ =x+18} \\ m<1\text{ = 27 +18} \\ m<1=45^0 \\ m<2\text{ = 5x} \\ m<2\text{ = 5(27)} \\ m<2=135^0 \end{gathered}\)Hence the value of x = 27° , m<1 = 45° and m<2 = 135°
1 3 5 7, which number comes next?
Answer:
1, 3, 5, 7, 9, 11, 13
Step-by-step explanation:
Answer:
The answer should be: 9
Step-by-step explanation:
The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1.
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
there exists an intewger that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers
there exists an integer that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers ∃x∈ℤ: x > 5 ∧ x² < 40
1. Start by writing down the equation: x² < 40
2. Take the square root of both sides of the equation to isolate the variable x: √x² < √40
3. Simplify both sides of the equation: x < √40
4. Check that the result makes sense: x < 6.3
5. Take the integer part of the result: x < 6
6. Since the requirement is that x is greater than 5, the answer is x = 6.
We start by writing the equation x² < 40 and then take the square root of both sides to get x < √40. We check that the result is reasonable and then take the integer part of the result to get x < 6. Since the requirement is that x is greater than 5, the answer is x = 6. To confirm, we can calculate that x² = 36 which is smaller than 40, and indeed, 6 is greater than 5. Therefore, the integer that is greater than 5 and whose square is smaller than 40 is 6. This can be expressed mathematically as ∃x∈ℤ: x > 5 ∧ x² < 40 which translates to: There exists an integer x such that x is greater than 5 and the square of x is smaller than 40.
Learn more about integer here
https://brainly.com/question/15276410
#SPJ4
Slove for x
Show all work
Answer:
\(x=20\)
Step-by-step explanation:
\(x^2=8(8+42)\)
\(x^2=8*50\)
\(x=20\)
~
Can someone help me out, please.......
Answer:
i am thinking it is 0 (if i get it wrong i am sorry)
Step-by-step explanation:
9. The temperature at noon was 84° F and it began to drop 0.8° each hour. If the current temperature is 79.2° F, write and solve an equation to determine the number of hours that have passed.
Answer:6 hours have passed by.
Step-by-step explanation:
0.8x= 84-79.2 where x is the number of hours.
O.8x = 4.8
Divide both sides by 0.8
X= 6
For the statement below, write the claim as a mathematical statement. Use proportions to state the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college. Let p be the proportion of college students who did not use student loans to pay for college. What is the claim as a mathematical statement? Determine the null and alternative hypothesis. Identify whether the null or alternative hypotheses is the claim.
Answer:
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
Step-by-step explanation:
Explanation:-
According to a recent survey, 73% of college students did not use student loans to pay for college
Let p be the proportion of college students who did not use student loans to pay for college
Population proportion P = 73% or 0.73
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
The current Powerball jackpot is estimated to be $193 million. The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and one red ball out of a drum with 26 red balls. The Powerball jackpot is won by matching all five white balls in any order and the red Powerball. Each ticket costs $2. What would the minimum jackpot need to be in order to make purchasing a ticket not detrimental for the player? Round to the nearest dollar.
Answer:
Step-by-step explanation:
Using expected value, it is found that the minimum jackpot would need to be of $584,402,676.
-------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.The expected value is given by each value multiplied by it's respective probability.The order in which the 5 numbers from the set of 69 is not important, which means that the combination formula is used.The amount is multiplied by 26, due to the red balls.Thus, the number of total outcomes is:
\(T = 26C_{69,5} = 26 \times \frac{69!}{5!64!} = 292201338 \)
\(\frac{1}{292201338}\) probability of winning the jackpot of x.\(\frac{292201337}{292201338}\) probability of losing $2.The minimum expected value that makes the game fair is 0, thus:
\(\frac{1}{292201338}x - \frac{292201337}{292201338}(2) = 0\)
\(x - 2(292201337) = 0\)
\(x = 584402676 \)
The minimum jackpot would need to be of $584,402,676.
A similar problem is given at https://brainly.com/question/24919082
Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. If you connect a 2 megohm resistor (2× 10^6 ohms) across a 2.4 kilovolt voltage source (2.4×10^3 volts),what would be the current in amps?
Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. The current in the amp is 1.2 × 10⁻³.
What is Ohm's Law?Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms.
The current in amps = (2.4×10³ volts)/(2× 10⁶ ohms)
= 1.2 × 10⁻³ amp
Hence, the current in the amp is 1.2 × 10⁻³.
Learn more about Ohm' Law:
https://brainly.com/question/14796314
#SPJ1
does 4x^2=0 have 2 solutions
Answer:
it has only one solution x = 0
Step-by-step explanation:
4x² = 0
⇔ x² = 0 (4 > 0)
⇔ x = 0 (the formula: x² = 0 ⇔ x = 0)
The measure of the angles in a triangle ABC are given by the expression in the table. Please Help
There is the question^^
(Please give the answer with examples.)
answer:-
x = 25 degrees
measure of angle B = 65 degrees
measure of angle C = 50 degrees
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
510 pesos equals 24.12 U.S. dollars.
So Priya bought a sweater for 24.12 U.S. dollars.
Solve for the Lengths of XZ and YZ
Answer:
we know that
XY+YZ=XZ
solve for YZ
YZ=XZ-XY
XZ=21
XY=8
so
YZ=21-8
YZ=13
therefore
the answer is
YZ=13
Step-by-step explanation:
Your friend Brianna is considering getting a credit card. She is going to use the credit card to help build her credit. The credit card she is considering has an APR of 24.99%. It also has a yearly fee of $150.00, but it does offer 1% cash back on most purchases. She asks you for your advice. Use CER to answer the question: Should Brianna get the credit card?
Based on this evidence and reasoning, it is reasonable to conclude that Brianna should get the credit card, as long as she uses it responsibly and pays off her balance in full every month to avoid paying interest charges.
What is percent?Percent, denoted by the symbol "%", is a way of expressing a fraction or ratio as a portion of 100. It is commonly used in everyday life to express a part of a whole or to compare quantities. Percentages can be used in various contexts, such as in finance to calculate interest rates, in statistics to represent data, and in everyday life to express discounts, tax rates, and tips. It is important to understand percentages to make informed decisions and to effectively communicate information.
Here,
CER stands for Claim, Evidence, and Reasoning, which is a framework for presenting a persuasive argument. Using this framework, we can evaluate whether Brianna should get the credit card in question:
Claim: Brianna should get the credit card.
Evidence:
The credit card has an APR of 24.99%, which is high compared to other credit cards.
The credit card has a yearly fee of $150.00.
The credit card offers 1% cash back on most purchases.
Reasoning:
While the APR and yearly fee are high, Brianna can still benefit from using the credit card to build her credit.
The 1% cash back on most purchases can help offset the cost of the yearly fee and the interest charges if she pays off her balance in full every month.
By using the credit card, such as making payments on time and not carrying a high balance, Brianna can establish a positive credit history, which can help her in the future when she wants to apply for loans or other credit cards.
To know more about percent,
https://brainly.com/question/29172752
#SPJ1
a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
For more questions Pythagorean theorem:
https://brainly.com/question/343682
#SPJ8
Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !
Which statement is true about the diagram?
B
4
Ο Δ ABD =Δ ACB by SSS
Ο Δ ABC =Δ ABD by SAS
O A CAB DAB by SSS
O No triangles are congruent
The statement "Δ ABD = Δ ACB by SSS" is true about the diagram.
The statement "Δ ABD = Δ ACB by SSS" is true about the diagram. SSS stands for Side-Side-Side, which is a congruence postulate stating that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. In the given diagram, Δ ABD and Δ ACB are congruent because their corresponding sides AB, BD, and AC are equal in length.
This means that the triangles have the same shape and size, but they may be oriented differently. The SSS congruence allows us to conclude that all corresponding angles and other corresponding sides of the two triangles are also congruent. Therefore, we can say that Δ ABD is congruent to Δ ACB based on the Side-Side-Side congruence.
Learn more about congruence here:
https://brainly.com/question/29789999
#SPJ8
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
<95141404393>
Anybody know the answer to this problem be correct
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
A carnival charges $3 for kids and $10 for adults. On Saturday there were 500 visitors,
Im waiting...
Go on...
Answer:
esement you do ten times 50
Step-by-step explanation:
you estement to a close number
Factor the expression 35x+15 using the GCF.