Answer:
B
Step-by-step explanation:
x + y =90
y= 4x +6
_______
x + y = 90
4x − y = -6
The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The sum of x and y is 90.
And y is 6 more than four times x.
Let x and y be the numbers.
Then according to the first condition, we have
[tex]\rm x + y = 90[/tex]
Then according to the second condition, we have
[tex]\rm y = 4x + 6[/tex]
It can be written as
[tex]\rm 4x - y = -6[/tex]
Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].
Thus, the correct option is B.
More about the linear system link is given below.
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Can Somebody please help me?
The product of two whole numbers is 608 and their sum is 51 .what are the two numbers ?
Answer:
The product of 19 and 32 is 608 and their sum adds up to 51.
The two numbers are: 19 and 32
\int \frac{x}{\left(1-x^2\right)^{\frac{3}{4}}}dx
Answer:
x 5/4 y 10/3 over 2
Step-by-step explanation:
4. If f(x) = 3x + 2, find f(4)?
Answer:
3(4)+2= 14
Step-by-step explanation:
Answer:14
Step-by-step explanation:
You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Use Pythagorean theorem to solve for x
Answer:
339.7705
Step-by-step explanation:
simplify the expression -2(t + 7)
Answer:
-2t-14
Step-by-step explanation:
Answer:
-2t - 14
Step-by-step explanation:
-2(t + 7)
distribute
(-2 * t) + (-2 * 7)
-2t + -2 * 7
-2t - 14
The histogram gives information about a fitness club
Answer:
a)
b) 99
Step-by-step explanation:
i'm not sure about a
but for b i got 99 members
Which Word names of the shape that looks like a rectangle
Answer:
The name of the shape that looks like a rectangle is a square
Let f(x) = 5x +1.
Find f(2)
Answer:
f(2) =11
Step-by-step explanation:
Explanation:-
Given the function f(x) = 5x+1
Put x = 2
f(2) = 5(2)+1
⇒ f(2) = 10 +1
⇒ f(2) =11
share 50 in the ratio 3:7
Answer:
Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.
In the ratio of 3:7, the numbers are 15 and 35.
What is the ratio?A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.
Given:
A ratio of 3:7.
To share 50 in the ratio 3:7;
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
= [tex]50\cdot\frac{3}{10} \ {and}\ {50\cdot\frac{7}{10}[/tex]
= 5 x 3 and 5 x 7
= 15 and 35
Therefore, the numbers are 15 and 35.
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"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question
Answer:
✔️Quarter circle
✔️Area = 38.5 cm² (nearest tenth)
✔️Perimeter = 25.0 cm (nearest tenth)
Step-by-step explanation:
✔️The figure given is a ¼ circle
Radius is given as = 7 cm
✔️Area = ¼(πr²)
Plug in the value of r
Area = ¼(π*7²)
Area = ¼(π*49)
Area = 38.5 cm² (nearest tenth)
✔️Perimeter = ¼(2πr) + 2r
Plug in the value of r
Perimeter = ¼(2*π*7) + 2(7)
Perimeter = ¼(14π) + 14
Perimeter = 25.0 cm (nearest tenth)
Write 16.24 as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3
The simplest form of the number 16.24 in fraction would be 406/25.
Used the concept of fraction which states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
The number is 16.24.
Now, it can be written as,
[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]
[tex]= \dfrac{1624}{100}[/tex]
Therefore, the simplest form is,
[tex]= \dfrac{406}{25}[/tex]
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Question 7
1 pts
8. Tianna worked 45 hours last week. Her employer pays time and a half for hours over 40. Her gross pay was $451.25. What is her
hourly rate?
Answer:
$9.50
Step-by-step explanation:
40x + (5*1.5*x) = 451.25
40x + 7.5x = 451.25
47.5x = 451.25
x = 9.50
Find the area of the shape shown below.
Answer:
Total Area = 26.75
Step-by-step explanation:
Remark
The hardest triangle to see is the top one. So we'll start with it.
It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9
Top Triangle Area
Area = 1/2 base * height
Area = 1/2 * 9 * 3.5
Area = 15.75
Triangle on the lower left
Area = 1/2 * 2 * 2
Area = 2
Square on lower middle
Area = 2*2
Area = 4
Triangle on lower right area
Area = 1/2 * 2 * 5
Area = 5
Total Area
Total Area = 5 + 4 + 2 + 15.75
Total Area = 26.75
there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison
Answer:
6 are playing hopscotch
Step-by-step explanation:
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes it is parallelogram because diagonals bisect each other.
Can someone help me?
Answer:
The graph cannot represent a proportional relationship
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form. In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin (0,0) . That means, ----> The x-intercept and the y-intercept of the line must to be the origin (0,0).
If the given line passes through the point (0,5), then the line does not pass through the origin. Therefore, the graph cannot represent a proportional relationship
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
Steve sold 252 fruit basket for a school fundraiser. Evie aold 25 fruit baskets for each 100 baskets that steve sold. How many fruit baskets did evie sell?
PLEASE NEED HELP AND STEPS
Answer: 63
Step-by-step explanation:
From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.
Therefore, the number of fruit baskets sold by Evie will be:
= 1/4 × 252
= 63
Angle DEB is 71. What size is ABD
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
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Please help this is my last attempt and I keep getting it wrong :( please and thank you picture is attached
Answer:
-7
Step-by-step explanation:
the co ordinate of f(-5) is -7
Find the value of x help please.
Answer:
x= 6
Step-by-step explanation:
since the triangle is isosceles we know that opposite sides are equal
[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=6}}[/tex]
Step-by-step explanation:
An isosceles triangle has 2 equal base angles and 2 equal legs.
In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.
[tex]35=5x+5[/tex]
Solve for the value of x by isolating the variable on one side of the equation.
5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]
x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.
[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]
The value of x is 6.
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
4 quizzes are taken per week
Cesar bought lunch at school. He had a sandwich and a drink that cost $12. His drink cost $3.50. Solve the equation 12=s+3.50 to find the cost of 's sandwich, s.
Answer:
$8.50
Step-by-step explanation:
12=s+3.50
-3.50 -3.50
8.50=s
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
Describe the transformation of y=3(x-3)²+3
Answer:
Streatch by 3, Left by 3 and Up 3
find the multiplication inverse of the following (1) -3
5