As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and Luis clues so he can write an equation to find her number. Sarah says, " if I subtract 5 from my number, multiply that equality by 4, and then add 7 to the result, I get 35." What equation can Luis write based on Sarah's clues and what is Sarah's number?

Answers

Answer 1

Answer:

For the unknown number when I subtract 5 from my number, multiply that equality by 4 and then add 7 to the result, I get 35 is 12.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the unknown number be 'n' if I subtract 5 from my number, multiply that equality by 4, and then add 7 to the result, I get 35.

∴ 4(n - 5) + 7 = 35.

4n - 20 + 7 = 35.

4n = 48.

n = 48/4.

n = 12.

learn more about numerical expressions here :

brainly.com/question/29199574

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Answer 2

Answer: If x is Sarahs number then
(x-5)×4+7=35
subtract 7 from both sides
4(x-5)=28
divide by 4 on both sides
x-5=7
add 5 to both sides
x=12

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Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x. Which graph represents her solution? A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5. A number line with an open circle at 3 with a bold line pointing to the right stopping at the point 5. A number line with a point at 3 with a bold line pointing to the left and an open circle at 5 with a bold line pointing to the right. A number line with an open circle at 3 with a bold line pointing to the left and a point at 5 with a bold line pointing to the right.

Answers

Answer:

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5.

Step-by-step explanation:

Phyllis solved the compound inequality $16\le2(3x-1) < 28.$ She began by first breaking the inequality into two separate inequalities $16\le 2(3x-1)$ and $2(3x-1)<28$ , then she correctly solved each for x:

1) $16\le 2(3x-1):$

Rewrite this inequality:

$2(3x-1)\ge 16$

Divide by 2:

$3x-1\ge 8$

Add 1:

$3x-1+1\ge 8+1\n \n3x\ge 9$

Divide by 3:

$x\ge 3$

2) $2(3x-1)<28:$

Divide by 2:

$3x-1<14$

Add 1:

$3x-1+1<14+1\n \n3x<15$

Divide by 3:

$x<5$

The solution to the compound inequality are all values of x which are greater than 3 or equal to 3 and less than 5. So, you have to plot point at 3, draw a bold line to 5 and plot open circle at 5. Hence, option

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5

is true.

The answer to your question would be A.

Hope you have a nice day!

Given that the equation of a straight line is -4x 2y=16, what is the value of the gradient and of the y-intercept: Gradient: Y-intercept:

Answers

gradient is
if you have
ax+by=c
gradient (aka slope)=a/b

we have
-4x+2y=16
a=-4
b=2
gradient=-4/2=-2

y intercept is when the line crosses the y axis, also that is when x=0 so set x=0 and solve for y
-4(0)+2y=16
0+2y=16
2y=16
divide 2
x=8
y intercept=8

gradient=-2
y intercept=8 (y=8 aka point (0,8))

Mr. Stevens drives 110 miles in 2 hours, 165 miles in 3 hours, and 220 miles in 4 hours. How many miles will he drive in 5 hours?

Answers

Let's see -

Since you know how many miles Mr Stevens drives in 2 hours, just simply divide 110 by 2 to get how many miles he drives in one hour.

110 ÷ 2 = 55

Now you can multiply 55 by 5 (for the 5 hours) to see how far he drives in that time frame.

55 × 5 = 275

So, basically, for each hour you add 55 miles. :)

↑ ↑ ↑ Hope this helps! :D

275miles as it goes up in 55miles each hour

What is 30x52??????????

Answers

Answer:

1560

Step-by-step explanation:

30x50=1500

30x2=60

1500+60=1560

Answer: 1,560

Step-by-step explanation:

Did the algorithm

(ﾉﾟ0ﾟ)ﾉ→1560

Combine the like terms to create an equivalent expression:
−4y−4+(−3) PLZ SOMEONE HELP

Answers

Final answer:

The expression −4y−4+(−3) simplifies to −4y −7 by combining the numeric constants according to the rules of addition for negative numbers.

Explanation:

To combine the like terms in the expression −4y−4+(−3), we look for terms that have the same variable raised to the same power. Here, there are no like terms withy, so we just combine the constant numbers.

Following the rules for addition and subtraction of numbers:

1. When two negative numbers add, the answer has a −ve sign. For example, −4 + (−3) = −7.

2. In subtraction, change the sign of the subtracted number and then follow the addition rules.

Applying these rules to the given expression:

−4y−4+(−3)
= −4y + (−4) + (−3)
= −4y + −7

Therefore, the equivalent expression after combining like terms is −4y −7.