Answer:
x=-2, y=-2. (-2, -2)
Step-by-step explanation:
3x-5y=4
-5x+4y=2
-------------
5(3x-5y)=5(4)
3(-5x+4y)=3(2)
---------------------
15x-25y=20
-15x+12y=6
-------------------
-13y=26
y=26/-13
y=-2
3x-5(-2)=4
3x+10=4
3x=4-10
3x=-6
x=-6/3
x=-2
x=-2, y=-2.
A radio telescope's shape can be approximated with the equation y=0.011x^2. Is the relationship between x and y linear? Is it proportional?
13 lb7 oz + 10 lb2 oz
Final answer:
The sum of the two weights, 13 lb 7 oz and 10 lb 2 oz, is 23 lb 9 oz. You add the ounces first, which don't need conversion, and then add the pounds.
Explanation:
Adding Pounds and Ounces
The question involves adding two weights together that are given in pounds and ounces. To do this, we need to add the ounces together first and then the pounds. The sum of 7 ounces and 2 ounces is 9 ounces. Since there are 16 ounces in one pound, we have no need to convert these ounces to pounds. The sum of 13 pounds and 10 pounds is 23 pounds. Therefore, when we combine these two sums, we arrive at the total weight of 23 pounds and 9 ounces.
Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of fraction 1 over 2 .
Answer:
y + 3 = (1/2)(x -6)
Step-by-step explanation:
When we have the slope m of the line and a point (a,b) which the line passes through, the point-slope form is
y - b = m (x -a)
Since the slope is 1/2 and the line passes through (6, -3), the point-slope equation is
y -(-3) = (1/2)(x -6)
or
y + 3 = (1/2)(x -6)
6. Museum tickets cost $7 for
adults and $4 for youths. The
museum is free for anyone
5 years and younger. The Baker
family is planning to visit with
7 adults, 6 youths, and
3 children under the age of 5.
How much will all of their tickets
cost? Explain.
Answer:
$73
Step-by-step explanation:
Multiply 7 and 7 to get 49. Next, multiply 6 and 4 to get 24. The museum is free for the 3 children so you do not have to do anything. Add 49 and 24 to get 73, which is the price for the Baker Family.
87 1/2% of what number is 105?
Answer:
120
Step-by-step explanation:
87.5% of what number is 105?
87.5%=0.875
105/0.875=120
Granola costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of granola costs? Round to the nearest cent .
Answer:
$4.25
Step-by-step explanation:
Ratio:
2.79:16.4 = x:25
16.4 × x
2.79 × 25
Cross multiply: 16.4x = 69.75
Then divide: 69.75 ÷ 16.4 = $4.25
A stove that cost $500 will be on sale next week for 25% off it’s regular price what is the amount of savings
Final answer:
To calculate the savings of 25% off a $500 stove, you multiply 500 by 0.25 to get a savings of $125.
Explanation:
The question asks us to calculate how much money will be saved on a stove that is on sale for 25% off its regular $500 price. To find the amount of savings, we need to calculate 25% of $500. This is done by multiplying the original price by the percentage discount in decimal form.
The percentage in decimal form is 0.25 (since 25% is 25 per hundred, or 25/100), hence, we multiply 500 by 0.25 to find the savings:
500 × 0.25 = $125.
Therefore, the amount of savings from the original price during the sale is $125.
10. A nursery owner buys 5 panes of glass to
some damage to her greenhouse. The S Danes
cost $14.25. Unfortunately, she breaks 2 more
panes while repairing the damage What is the
cost of another 2 panes of glass?
Write the slope-intercept form of the equation of each line.
Answer:y=mx+b
Step-by-step explanation:
2.4x-9.1x+12.5=-39.44
Answer:
I think the simplified answer is 7.69
What's the awnser to x÷9=157
Answer:
x = 1413Step-by-step explanation:
[tex]x\div9=157\\\\\dfrac{x}{9}=157\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{x}{9\!\!\!\!\diagup_1}=(9)(157)\\\\x=1413[/tex]
Name two points that are reflections of each other across the x-axis.
Answer:
Original point (1,2) and the image is (1,-2).
Step-by-step explanation:
If a point on the coordinate plane reflects across the x-axis then the x-coordinates of the original point and that of the image point will remain the same and the y-coordinates of the original point and that of the image point will only change their signs.
So, a point having coordinates (a,b) when reflected across the x-axis then the point generated after reflection will have coordinates (a,-b).
This is true for any real values of a and b.
So, for example, if (1,2) is a point reflected across the x-axis will generate an image point with coordinates (1,-2). (Answer)
In the spinner below the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 6 and the probability of landing on 5?
Answer:
A
Step-by-step explanation:
If we take each small section to be "1" unit, we can say the large sections (for "2" and "5") are "2" units each. So in total there will be 8 sections.
Since 5 is "2" sections, we can say:
P(5) = 2/8 = 1/4
And 6 is "1" section, so we can say:
P(6) = 1/8
Definitely, Probability of landing a 6 is HALF that of probability of landing a 5. Also we can see this is the picture.
So, from the answer choices, A is right.
Erica and Amy started biking in the opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly 1 km apart?
Answer:
100 seconds
Erica and Amy are at distance of 1 km in 100 seconds
Step-by-step explanation:
They both are travelling in opposite directions so the sum of the distances they travel is the distance between them.
Let's take t as the total time taken to achieve a seperation of 1km
Distance traveled by Erica , (Speed of Erica - v1)
x1 = v1 * t
Distance travelled by Amy , (Speed of Amy - v2)
x2 = v2*t
Therefore sum of the distances they traveled is x1+x2 = x
x = v1*t + v2*t
x = t*(v1 + v2)
Here it is given that final seperation between Amy and Erica is 1km or 1000 m
Therefore x = 1000 m
Thus t = [tex]\frac{x}{v1+v2}[/tex]
Substituting given values v1 = 6 m/s v2 = 4 m/s
Therefore,
They are apart by exactly 1km in a time of 100 sec
Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?
The total number of nails will decrease by 14 nails when Willa will use 7 nails on each side.
Step-by-step explanation:
Sides of one birdhouse = 7
Nails used on each side = 9
Nails used on one birdhouse = Nails per side * Sides of birdhouse
Nails used on one birdhouse = 9*7 = 63 nails
If she uses 7 nails on each side, then the number of nails used on one birdhouse;
No. of nails = 7 * 7 = 49 nails
Change = Nails used on one birdhouse - No. of nails
Change = 63 - 49 = 14
The total number of nails will decrease by 14 nails when Willa will use 7 nails on each side.
Keywords: multiplication, subtraction
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Each birdhouse needs 63 nails. If Willa uses only 7 nails on each side, she will need a total of 49 nails.
Explanation:Each side of the birdhouse requires 9 nails, and there are 7 sides on the birdhouse. To find the total number of nails needed for each birdhouse, we can multiply the number of nails per side by the number of sides:
9 nails/side x 7 sides = 63 nails needed for each birdhouse.
If Willa only uses 7 nails on each side, the total number of nails she uses will change. The new total number of nails can be found by multiplying the new number of nails per side (7 nails) by the number of sides (7 sides):
7 nails/side x 7 sides = 49 nails in total.
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Estimate. Round to the greatest place value. Circle whether the estimate is greater then or less then the actual product.
Rounding to the greatest place value requires focusing on the digit to the right of the place value you're rounding to. If it's 5 or above, round up, if less, round down. This makes calculations easier by providing an estimated value close to the actual one.
Explanation:In this question, you are asked to estimate a value by rounding to the greatest place value. To do this, you will focus on the digit in the place value you are rounding to and the digit to its right. If the digit is 5 or more, you will round up. If it's less than 5, you will round down. It's called the estimation because it's not an exact value but a value close to the actual one best suited for calculations.
For example, if you have the number 4387 and you want to round it to the greatest place value, which is thousands place, you will look at the hundreds place value which is 8 (greater than 5), so you round up to 5000. Your estimated number, 5000, is greater than the actual product.
The purpose of rounding and estimation is to simplify calculations and analyze systems or data without being bogged down by specificities.
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What is the answer to the photo
Answer:
96 is the answer maybe of it
For each sequence,find the first 4 terms and the 10th term
a) n+5
b)2n-1
Answer:
a)6,7,8,9 and 10th term is 15.
b)1,3,5,7 and 10th term is 19.
Step-by-step explanation:
Given a) n+5
b)2n-1
Solution for a) n+5
Taking the value of n is 1 we get the first term of the sequence;
[tex]n+5=1+5=6[/tex]
Similarly taking the value of n 2,3,4 we get;
[tex]2+5=7\\3+5=8\\4+5=9[/tex]
And for 10th term we take the value of n is 10 and get;
[tex]n+5=10+5=15[/tex]
So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.
Solution for b)2n-1
Taking the value of n is 1 we get the first term of the sequence;
[tex]2n-1=2\times1-1=2-1=1[/tex]
Similarly taking the value of n 2,3,4 we get;
[tex]2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7[/tex]
And for 10th term we take the value of n is 10 and get;
[tex]2n-1=2\times10-1=20-1=19[/tex]
So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.
Final answer:
The first 4 terms and the 10th term of sequence (a) n + 5 are 6, 7, 8, 9, and 15, respectively. For sequence (b) 2n - 1, they are 1, 3, 5, 7, and 19, respectively.
Explanation:
For each sequence, we need to find the first 4 terms and the 10th term. The sequences are given by (a) n + 5 and (b) 2n - 1.
Let's start with sequence (a) n + 5. The first 4 terms, where n starts at 1, will be:
1 + 5 = 62 + 5 = 73 + 5 = 84 + 5 = 9The 10th term can be found by substituting n = 10 into the expression, so the 10th term is:
10 + 5 = 15
Moving on to sequence (b) 2n - 1. The first 4 terms are:
2(1) - 1 = 12(2) - 1 = 32(3) - 1 = 52(4) - 1 = 7The 10th term is calculated as:
2(10) - 1 = 19
solve these absolute value equations step by step
Answer:
16 is x<3
Step-by-step explanation:
4x-10<2
Add 10 to both sides
4x<12
Divide 4 from both sides and you get x<3
In 2015, nearly three out of every ten autos sold in a country was a crossover utility vehicle. If an auto dealership sold 4800 vehicles in total that year, how many of these sales would be expected to involve a cuv? Simplify your answer.
Answer:
about 160
Step-by-step explanation:
Answer:
1440 CUVs, approx. Actual number would be slightly lower.
Step-by-step explanation:
To answer this question, multiply 4800 vehicles by (3/10) for an approximation of the number of CUVs sold:
4800 3
---------- * ------- = 1440 CUVs
1 10
Divide the following polynomials
(2x2+x+3)/ (x-2)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
2
x
-
3
2
x
2
-
3
x
+
5
Divide the highest order term in the dividend
2
x
2
by the highest order term in divisor
2
x
.
x
2
x
-
3
2
x
2
-
3
x
+
5
Multiply the new quotient term by the divisor.
x
2
x
-
3
2
x
2
-
3
x
+
5
+
2
x
2
-
3
x
The expression needs to be subtracted from the dividend, so change all the signs in
2
x
2
−
3
x
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
Pull the next term from the original dividend down into the current dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
+
5
The final answer is the quotient plus the remainder over the divisor.
x
+
5
2
x
−
3
If cos theta = 3/5 and theta is in the first quadrant, what is sin 2 theta
Final answer:
To find sin 2θ when cos θ = 3/5, we first find sin θ using the Pythagorean identity and then apply the double angle formula, yielding sin 2θ = 24/25.
Explanation:
To find sin 2θ when given cos θ = 3/5 and θ is in the first quadrant, we can use the double angle formula for sine, which is sin 2θ = 2 sin θ cos θ. First, we need to find sin θ. Given that θ is in the first quadrant, all trigonometric functions are positive, and we can use the Pythagorean identity sin²θ + cos²θ = 1 to find sin θ. Since we know cos θ, cos²θ = (3/5)² = 9/25, which means sin²θ = 1 - 9/25 = 16/25. Taking the positive square root, since θ is in the first quadrant, sin θ = 4/5.
Now, we apply the double angle formula: sin 2θ = 2 × (4/5) × (3/5), which simplifies to sin 2θ = 24/25.
Complete each geometric sequence
1.5, 3, 6, ___, 24, ___
Answer:
1.5, 3, 6, 12, 24, 48
Explanation:
multiply all of the numbers by 2
1.5*2=3
3*2=6
6*2=12
12*2=24
24*2=48
Joan actually likes 30% of her male friends and 20% of her female friends. She has a
total of 200 friends, 45% of them are male. How many female friends does Joan actually like?
Answer:
22
Step-by-step explanation:
The number of male friends : 200 ÷100 × 45 = 90
The number of female friends : 200 - 90 = 110
Joan likes 20% of her female friends and there are total of 110 female friends
20% 110 would be➡ 110 ÷ 100 × 20 = 22
Ramon earns $1,825 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Answer:
2.9%
Step-by-step explanation:
Given:
Total earnings : $1,825
Electricity : $53.20
% of earnings spent on electricity,
= (53.2 / 1825) x 100%
= 0.2915 x 100%
= 2.915%
= 2.9% (nearest tenth)
Please help solve with steps:
-3 + u = 1/2
----
5
Mia is 160.2 centimeters tall.Rosa is 165.1 centimeters tall.how much taller is Rosa the Mia?
Answer:
4.9
Step-by-step explanation:
165.1-160.2
9/16 = x/12
x-3/18 = 12/9
7/11 = 18/x+1
3x-4/14 = 9/10
Simplify
Answer:
Step-by-step explanation:
9/16=x/12
cross product
16x=9*12
16x=108
x=108/16
simplify
x=27/4
---------------
x-3/18=12/9
x=12/9+3/18
x=24/18+3/18
x=27/18
x=3/2
--------------------
7/11=18/x+1
18/x=7/11-1
18/x=7/11-11/11
18/x=-4/11
x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2
x=-99/2
After Megan walked 5 miles her activity tracker have counted 9780 steps David’s activity tracker had counted 11,928 steps after he walked 6 miles.suppose each person step covers about the same distance who takes more steps to walk 1 mile? how many more steps?
Answer:
David took 32 more steps
Step-by-step explanation:
first we need to find out how many steps each person takes every one mile to find that out we divide the steps by how many miles .
megan: 9780÷5= 1956 steps in one mile
David: 11928÷6= 1988 steps in one mile
then you subtract to find by how many more steps .
1988-1956 =32
david took 32 more steps
I need help with these 2 Math Questions, both using a graph. Pictures are attached.
Answer:
1. k = 3
2. k = 5
Step-by-step explanation:
1. The graph shows two parallel lines intersecting y-axis:
f(x) at (0,2);g(x) at (0,5).The graph of the function g(x) is translated 5 - 2 = 3 units up graph of the function f(x). Thus, k = 3.
2. The graph shows two parallel lines intersecting y-axis:
f(x) at (0,-2);g(x) at (0,3).The graph of the function g(x) is translated 3 - (-2) = 5 units up graph of the function f(x). Thus, k = 5.